Type the missing number to complete the proportion. 76 passengers on 2 buses = 38 passengers on buses Submit
Answers
1
Explanation
you can solve this by using a rule of three.
Step 1
if
\(\begin{gathered} 76\text{ passengers}\Rightarrow\text{ 2 buses} \\ so,\text{ the proportion is} \\ P=\frac{Numbe\text{r of passengers}}{\text{Number of buses}}=\frac{76\text{ pas}}{2\text{ bu}}=38\text{ passenger per bus} \end{gathered}\)now
Let x represents the missing number
\(\begin{gathered} P_2=\frac{38\text{ passengers}}{x} \\ as\text{ the proportion is the same} \\ \frac{38}{x}=38\text{ passengers per bus} \\ x=1 \end{gathered}\)so, the missing number is 1
Related Questions
The annual rainfall in a certain region is approximately normally distributed with mean 42.2 inches andstandard deviation 5.3 inches. Round answers to the nearest tenth of a percent.a) What percentage of years will have an annual rainfall of less than 44 inches?%b) What percentage of years will have an annual rainfall of more than 39 inches?c) What percentage of years will have an annual rainfall of between 38 inches and 43 inches?%
Answers
Answer
(a) 63.3%
(b) 72.7%
(c) 28.7%
Explanation
Given:
\(\begin{gathered} Mean,\mu=42.2\text{ }inches \\ \\ Standard\text{ }deviation,\sigma=5.3\text{ }inches \end{gathered}\)(a) What percentage of years will have an annual rainfall of less than 44 inches?
First, we standardize 44 inches by changing x to z:
\(z=\frac{x-\mu}{\sigma}\)Here,
\(\begin{gathered} x=44,\mu=42.2,and\text{ }\sigma=5.3 \\ \\ z=\frac{44-42.2}{5.3}=\frac{1.8}{5.3} \\ \\ z=0.34 \end{gathered}\)So,
\(P(x<44)=P(z<0.34)\)Interpreting the result in a normal curve, we have:
\(\begin{gathered} 0.5+P(z=0.34) \\ \\ 0.5+0.1331=0.6331 \end{gathered}\)Therefore, the percentage to the nearest tenth will be:
\(0.6331\times100\%=63.3\%\)(b) What percentage of years will have an annual rainfall of more than 39 inches?
\(\begin{gathered} x=39,\mu=42.2,and\text{ }\sigma=5.3 \\ \\ z=\frac{39-42.2}{5.3}=\frac{-3.2}{5.3} \\ \\ z=-0.603 \end{gathered}\)So,
\(P(x>5.3)=P(z>-0.603)\)Interpreting the result in a normal curve, we have:
\(\begin{gathered} =0.5-P(z=-0.603) \\ \\ =0.5-(-0.2268) \\ \\ =0.5+0.2268 \\ \\ =0.7268 \end{gathered}\)Therefore, the percentage to the nearest tenth will be:
\(\begin{gathered} 0.7268\times100\% \\ \\ =72.7\% \end{gathered}\)(c) What percentage of years will have an annual rainfall of between 38 inches and 43 inches?
We need to find P(39 ≤ x ≤ 43).
Standardizing x to z by applying:
\(\begin{gathered} z=\frac{x-\mu}{\sigma} \\ \end{gathered}\)Here,
\(\begin{gathered} P(\frac{39-42.2}{5.3}\leq z\leq\frac{43-42.2}{5.3}) \\ \\ P(\frac{-3.2}{5.3}\leq z\leq\frac{0.8}{5.3}) \\ \\ P(-0.604\leq z\leq0.151) \end{gathered}\)Also, interpreting the result in a normal curve, we have:
\(\begin{gathered} P(z=0.151)-P(z=-0.604) \\ \\ P(z=0.151)+P(z=0.604) \\ \\ =0.060+0.2271 \\ \\ =0.2871 \end{gathered}\)Hence, the percentage to the nearest tenth will be:
\(\begin{gathered} 0.2871\times100\% \\ \\ =28.7\% \end{gathered}\)In summary,
(a) 63.3%
(b) 72.7%
(c) 28.7%
Need help on this question
Answers
the quotient of 5 ÷A is equal _ the quotient of A ÷ 5
Answers
Answer:
5÷A and A÷5=A×A and 5×5=A=25
I need help!!!! pleaseee
Answers
The genotype ratio is: 1 TT : 1 Tt : 0 tt
The phenotype ratio is : 4 Tall : 0 Short
100 percent of the offspring will be tall.
What is Genotypic and Phenotypic ratio?Genotypic ratio is the ratio between the genetic makeup among the offspring population.
On the other hand, the ratio between the offspring population for an observable characteristic is the phenotype ratio.
The given test cross is between a homozygous tall parent and a heterozygous tall parent.
Using a Punnett square,
The result will be as shown below.
T t
T TT Tt
T TT Tt
Genotype : 1 TT : 1 Tt : 0 tt
Phenotype : 4 Tall : 0 Short
100 percent of the offspring will be tall.
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Trapezoid A B C D is shown. Diagonals are drawn from point B to point D and from point A to point C and intersect at point E.
If quadrilateral ABCD is an isosceles trapezoid, which statements must be true? Select three options
BC ∥ AD
BD ⊥ AC
BA ≅ CD
BE ≅ ED
∠CBA ≅ ∠BCD
Answers
BC is parallel to AD, AB is equal to CD and ∠CBA ≅ ∠BCD
Isosceles trapezoid
An isosceles trapezoid is a quadrilateral (has four sides and four angles) in which the bases are parallel, base angles are equal, legs are equal and the diagonals are equal.
In trapezoid ABCD, BD and AC are the diagonals. Hence:
BC is parallel to AD, AB is equal to CD and ∠CBA ≅ ∠BCD
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Answer:
1 3 5
Step-by-step explanation:
evaluate 82.5÷0.25 express the answer in standard form
Answers
Answer:
divide by 82.5 to 0.25 your and than the is ur evaluate
Brooke and her friends buy a jumbo bag of Millicent's Mini Donuts at the fair. They sit at a
picnic table to share them. Brooke evenly distributes the donuts onto 13 napkins, one for
each person in the group. Each napkin has 4 donuts.
Which equation can you use to find the number of donuts d in the bag?
d + 13 = 4
d
= 4
13
13d = 4
d - 13 = 4
Answers
Answer:
d+13=4 is wrong it would be divede because it says put one in each napkin so it is being divided
Step-by-step explanation: 13/d
-1/2(x+5)=-10 I WONT BREATHE UNTIL U ANSWER ME!!
Answers
Step-by-step explanation:
well don't breath just collect like terms and booom
Step-by-Step Explanation:
= -1/2(x + 5) = -10
We can cancel the Negative symbols,
= 1/2(x + 5) = 10
= 1/2 * x + 1/2 * 5 = 10
= x/2 + 5/2 = 10
= x + 5 = 10 * 2 = 20
= x = 20 - 5
= x = 15
Please mark as Brainliest if I helped!
heeeeeeeeeeeeeeellllllllllllllllllllpppppppppp
Answers
Answer:
Keep the circle closed like it is and draw an incresing line (towards the positive numbers)(basically towards the right) with the arrow at the end of it
Step-by-step explanation:
Question 9 of 10
Which is the largest number?
OA. 5.8 x 10-3
B. 2.5 x 105
о C. 1.9 × 106
OD. 8.7 x 10²
Answers
On solving the provided question, we can say that F= The lifting force is 27135 0.003357*250*180*180 = F=27135, surface area
What is surface area and an illustration?The total area that all of a 3D object's faces cover is the surface area. The surface area of a cube is its surface area, for instance, if we are trying to determine how much paint is needed to paint it. Always expressed in square units.
The entire surface of a three-dimensional shape is referred to as its surface area. A cuboid with six rectangular faces has a surface area equal to the sum of the areas of each face. Alternatively, you can label the cuboid's length, width, and height (l, w, and h), then calculate its surface area (SA) using the formula: SA=2lw+2lh+2hw.
F= k*a*v^2
a= 250
v=190
30300=k*250*{190^2}
k= 0.03357
F= 0.003357*250*180*180
F=27135
The lifting force is 27135
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Calculate the distance between the points F=(-1, 7) and L = (2, – 1) in the coordinate plane.
Give an exact answer (not a decimal approximation).
Answers
Distance formula = Distance = SQRT((x2-x1)^2 + (y2-y1)^2)
Distance = sqrt((2- -1)^2 + (-1 -7)^2)
Distance = sqrt(3^2 + -8^2)
Distance = sqrt(9+64)
Distance = sqrt(73)
Answer: √73
Select the correct answer.
Hillary and her friends are trying to decide whether to go bowling or to a movie. Which method could they use to fairly decide which activity they
will do?
A.Flip a coin twice. If the coin lands on heads both times, they will go bowling. If it doesn't, they will go to a movie.
B.Flip a coin twice. If the coin lands on heads one time and tails one time, they will go bowling. If it doesn't, they will go to a
movie.
C.Flip a coin three times. If the coin lands on tails all three times, they will go to a movie. If it doesn't, they will go bowling.
D.Flip a coin three times. If the coin lands on heads twice and tails once, they will go to a movie. If it doesn't, they will go bowling.
Answers
Answer:
D.
Step-by-step explanation:
I would have to say D is the best answer since then it's truly based on luck and it's almost as if it's being flipped once
Hillary and her friends could flip a coin twice to fairly decide which activity they will do. If the coin lands on heads one time and tails one time, they will go bowling. If it doesn't, they will go to a movie.
What is probability?Probability is the ratio that shows the likelihood of an event occurring out of all the other possible events.
Hillary and her friends need to use a fair method to determine which activity to do. For this, the probability should be 1/2. We should observe the given options and find which is the fairer method.
In the case of option A, the probability of that event occurring is 1/4.In the case of option B, the probability of that event occurring is 1/2.In the case of option C, the probability of that event occurring is 1/8.In the case of option D, the probability of that event occurring is 3/8. We can see that Option B is the only event having a probability of 1/2.Therefore, Hillary and her friends could flip a coin twice to fairly decide which activity they will do. If the coin lands on heads one time and tails one time, they will go bowling. If it doesn't, they will go to a movie. The correct answer is Option B.
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Zuri drove at an average speed of
50
mi/h from her home in Orlando to visit her sister in Tucson. She stayed in Tucson
10
hours, and on the trip back averaged
55
mi/h. She returned home
49
hours after leaving. How many miles is Orlando from Tucson?
a) Write an equation using the information as it is given above that can be solved to answer this question. Use
t
as your variable to represent the amount of time Zuri spent driving from Orlando to Tucson.
Equation:
b) How many miles is Orlando from Tucson?
Answer: miles
Answers
Orlando is approximately 1021.5 miles from Tucson.
a) Let's use the formula: distance = rate x time.
Let t be the time Zuri spent driving from Orlando to Tucson.
Then, the time she spent driving from Tucson to Orlando would be 49 - 10 - t = 39 - t (subtracting the time she stayed in Tucson and the time she already spent driving from Orlando to Tucson from the total time).
Using the formula, we can write two equations:
distance from Orlando to Tucson = 50t
distance from Tucson to Orlando = 55(39 - t)
The total distance traveled is the same in both directions, so we can set the two equations equal to each other and solve for t:
50t = 55(39 - t)
50t = 2145 - 55t
105t = 2145
t = 20.43
b) Now that we know the time it took for Zuri to travel from Orlando to Tucson, we can use one of the equations above to find the distance:
distance from Orlando to Tucson = 50t
distance from Orlando to Tucson = 50(20.43)
distance from Orlando to Tucson = 1021.5
Therefore, Orlando is approximately 1021.5 miles from Tucson.
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Orlando is approximately 1021.5 miles from Tucson.
What is the linear equation?
A linear equation is defined as a function that has either one or two variables without exponents. It is a function that graphs to a straight line.
a) Let's use the formula: distance = rate x time.
Let t be the time Zuri spent driving from Orlando to Tucson.
Then, the time she spent driving from Tucson to Orlando would be 49 - 10 - t = 39 - t (subtracting the time she stayed in Tucson and the time she already spent driving from Orlando to Tucson from the total time).
Using the formula, we can write two equations:
distance from Orlando to Tucson = 50t
distance from Tucson to Orlando = 55(39 - t)
The total distance traveled is the same in both directions, so we can set the two equations equal to each other and solve for t:
50t = 55(39 - t)
50t = 2145 - 55t
105t = 2145
t = 20.43
b) Now that we know the time it took for Zuri to travel from Orlando to Tucson, we can use one of the equations above to find the distance:
distance from Orlando to Tucson = 50t
distance from Orlando to Tucson = 50(20.43)
distance from Orlando to Tucson = 1021.5
Therefore, Orlando is approximately 1021.5 miles from Tucson.
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How many days are there between 05/ 18/2016 to 06/03/2016
Answers
Answer:
at least 16 days
Answer:
16 days
Explanation:
First find the difference between these two dates by subtraction.
month / day / year
06 / 03 / 2016
(-) 05 / 18 / 2016
--------------------------
1 / -15 / 0
Time between:
= 1 month - 15 days
= 31 days - 15 days
= 16 days
10 Per Question :), Algebra 2
Answers
The value of the expression is 16x(x+1) / 10x² -14x -12
What is algebraic expression?In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)
The given expression is
16/(x-2) ÷ 4/(x+1) + 6/x
Simplify this to have
16 / (x-2) ÷ (10x + 6) / (x+1)(x)
this implies that 16/(x-2) * (x+1)(x)/(10x +6)
16(x² + x)/(x-2)(10x+6)
Therefore the value of the expression is
16x(x+1) / 10x² -14x -12
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A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number
and 1. How many solutions are possible for this situation?
Infinitely many solutions exist because the two situations describe the same line.
Exactly one solution exists because the situation describes two lines that have different slopes and different y-
intercepts.
No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.
Exactly one solution exists because the situation describes two lines with different slopes and the same y-intercept
Answers
Answer:
C. No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.Step-by-step explanation:
Let the numbers are x and y.
Translate below wording into equationsA number is equal to twice a smaller number plus 3:
x = 2y + 3The same number is equal to twice the sum of the smaller number and 1:
x = 2(y + 1)Solve the system by substitution:
2y + 3 = 2(y + 1)2y + 3 = 2y + 23 = 2False equation, so no solution.
Correct choice is C.
So the equations are
a=2b+3a=2(b+1)=2b+2Equate and solve
2b+3=2b+23=2No solutions
C
For this graph, mark the statements that are true.
A. The domain is the set of all real numbers greater than or equal to zero.
B. The range is the set of all real numbers.
C. The range is the set of all real numbers greater than or equal to zero.
D. The domain is the set of all real numbers.
Answers
Given:
The graph of function.
To find:
The correct statement for the domain and range of the given graph.
Solution:
Domain: The set of input values.
Range: The set of output value.
From the given graph it is clear that the graph represents a polynomial function.
The given graph of a polynomial function is defined for all real values of x. So, the domain is the set of all real numbers.
The graph of the function approaches from negative infinite to positive infinite. So, the output the given graph is set of all real numbers. It means the range is the set of all real numbers.
Therefore, the correct options are B and D.
The true statements are:
B. The range is the set of all real numbers.
D. The domain is the set of all real numbers.
From the figure, we can see that the graph extends in all directions without any end.
This means that, the graph of the function can take any real value as its input, and output
Hence, the domain and the range of the graph are set of all real numbers
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Solve them please give Brainly
Answers
Answer:
1) x = 0, 2) u = 5, 3) h = - 7, 4) n = 2, 5) x = 8, 6) r = 7--------------------------------------
Solve given equationsSteps should be self-explanatory. Happy to explain if anything is not clear.
Question 14x + 7 = 74x = 7 - 74x = 0x = 0Question 23(u + 4) = 27u + 4 = 27/3u + 4 = 9y = 9 - 4u = 5Question 3- 20 = 10(h + 5)-20/10 = h + 5- 2 = h + 5h = - 2 - 5h = - 7Question 4- 10 = (n - 52) / 5- 10*5 = n - 52- 50 = n - 52n = - 50 + 52n = 2Question 548/x - 3 = 348/x = 3 + 348/x = 6x = 48/6x = 8Question 68r = 2r + 428r - 2r = 426r = 42r = 42/6r = 7Answer:
v = 0u = 5h = -7 n = 2 x = 8 r = 7Step-by-step explanation:
1) 4v + 7 = 7, for v?
→ 4v + 7 = 7
→ 4v = 7 - 7
→ v = 0/4
→ [ v = 0 ]
2) 3(u + 4) = 27, for u?
→ 3(u + 4) = 27
→ 3u + 12 = 27
→ 3u = 27 - 12
→ u = 15/3
→ [ u = 5 ]
3) -20 = 10(h + 5), for h?
→ -20 = 10(h + 5)
→ 10h + 50 = -20
→ 10h = -20 - 50
→ h = -70/10
→ [ h = -7 ]
4) -10 = (n - 52)/5, for n?
→ -10 = (n - 52)/5
→ n - 52 = -10 × 5
→ n = -50 + 52
→ [ n = 2 ]
5) (48/x) - 3 = 3, for x?
→ (48/x) - 3 = 3
→ 48/x = 3 + 3
→ 6x = 48
→ x = 48/6
→ [ x = 8 ]
6) 8r = 2r + 42, for r?
→ 8r = 2r + 42
→ 8r - 2r = 42
→ r = 42/6
→ [ r = 7 ]
These are required values.
F
G
H
J
If the diameter of a circle is 16 cm and the
intercepted arc length is 6m, what is the
measure of the central angle in radians?
3
8
3
7T
3
T
3²7
Answers
The measure of the central angle is 0.75 radians
How to solve an equation?An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.
The area of a figure is the amount of space it occupies in its two dimensional state.
The length of an arc with an angle of Ф is given by:
Length of arc = (Ф/360) * (π * diameter)
The diameter is 16 cm and intercepted arc length is 6 cm, hence:
Length of arc = (Ф/360) * (π * diameter)
6 = (Ф/360) * (π * 16)
Ф = 42.97°
Ф = 42.97° * π/180 = 0.75 radian
The measure of the central angle is 0.75 radians
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Which term can be added to the list so that the greatest common factor of the three terms is 12h3?
36h3, 12h6, __________
Answers
The term that can be added to the list so that the greatest common factor of the three terms 12h3 36h3, 12h6, is 48h5
How can the term be known?A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.
The term that can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12 without any fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.
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rewrite equation in slope - intercept form: (Solve for y)
2x-y=7
Answers
Answer:
y = 2x-7
Step-by-step explanation:
I'm not really sure this is the slope-intercept form, as I've never called it like that before, but if it is, there you go.
Answer:
\(\huge\boxed{\sf y = 2x - 7}\)
Step-by-step explanation:
Given equation is:
2x - y = 7
Add y to both sides
2x = 7 + y
Invert the equation
7 + y = 2x
Subtract 7 to both sides
y = 2x - 7
This is the required equation in slope-intercept form y = mx + b where m is slope and b is y-intercept.
\(\rule[225]{225}{2}\)
Hope this helped!
~AH1807Suppose annual salaries for sales associates from a particular store have a bell-shaped distribution with a mean of $32,500 and a standard deviation of $2,500. Refer to Exhibit 3-3. The z-score for a sales associate from this store who earns $37,500 is
Answers
With a mean of $32,500 and a standard deviation of $2,500. The z-score for a sales associate who earns $37,500 is 2.
The z-score, also known as a standard score, is a measure of how many standard deviations a given value is from the mean. It is used to standardize the data and make it easier to compare and interpret. The formula for the z-score is:
z = (x - μ) / σ
where x is the value of interest, μ is the mean, and σ is the standard deviation.
In this case, the mean annual salary for sales associates from a particular store is $32,500 and the standard deviation is $2,500. We want to find the z-score for a sales associate who earns $37,500. Plugging in the values, we get:
z = ($37,500 - $32,500) / $2,500 = 2
This means that the sales associate's salary is 2 standard deviations above the mean.
Interpreting the z-score can help us understand how unusual or typical a given value is in comparison to the mean. In this case, a z-score of 2 indicates that the sales associate's salary is relatively high compared to the mean, but it is not an extremely high salary.
We can use a standard normal table to find the proportion of the data that falls below a given z-score, or to find the corresponding value for a given proportion of the data.
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=Word problemining the area between two concentric canciesMeaghan vEA flower garden is shaped like acides amis 38 yd. A ring-shaped path goes around the garden. The width of the path is 6 yd.The garden is going to cover the path with sand. If one bag of sand can cover 4 yd, how many bags of sand does the gardener need? Note that and comesonly by the bag, so the number of bags must be a whole number. (Use the value 3.14 for 2)
Answers
Answer:
Explanation:
Given:
Diameter of the small circle = 38 yd
Diameter of the big circle = 38 yd + 2(6) yd = 50 yd
To find the area of the circle, we use the formula:
A= (πD^2)/4
where:
A=Area
D=Diameter
π=3.14
First, we find the area of the small circle.
\(\begin{gathered} A=\frac{(3.14)(38yd)^2}{4} \\ \text{Calculate} \\ A=1133.54yd^2 \end{gathered}\)Next, we find the area of the big circle.
\(\begin{gathered} A=\frac{(3.14)(50yd)^2}{4} \\ \text{Calculate} \\ A=\text{ }1962.5yd^2 \end{gathered}\)Then, the area of the path is:
Path Area = Area of the big circle - Area of the small circle
=1962.5 yd^2 - 1133.54 yd^2
=828.96 yd^2
So the total number of bags:
n=828.96/4 = 207.24 = 208
Therefore, the number of bags is 208.
Using a supply and demand graph for gasoline starting at an equilibrium price of $5.00 per gallon and a quantity of 20
gallons, show the effect of a government price ceiling on gasoline of $2.50 a gallon. Is this a binding price ceiling? Why
or wy not? Please explain.
Answers
Yes, to some extent President Biden is right in telling them to lower the price rate because due to the war, a lot of gas companies a using it as a yardstick to inflate their prices and sell above the normal rate they bought it and the oil firms needs to consider the times that people are too.
2. The effect of a government price ceiling on gasoline of $2.50 a gallon is shown in the image attached. There is a binding at $2.00.
3. As price increases, demand also increases in times of gasoline because due to the war, Russia have refuse selling their oil and as such, this has lead to increase demand on the gasolines on ground.
What is Binding Price Ceiling?
A binding price ceiling is one that often takes place if the government are known to have set up a standard price on a good or goods at a specific price that is below equilibrium.
Therefore, to the number one question, we respond Yes, to some extent President Biden is right in telling them to lower the price rate because due to the war, a lot of gas companies a using it as a yardstick to inflate their prices and sell above the normal rate they bought it and the oil firms needs to consider the times that people are too.
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Enter your answer in the box. Round your final answer to the nearest degree. B 6cm, A 8cm, C
Answers
The measure of Angle C is approximately 26°.
A, B, C are vertices of a triangle, where AB = 8 cm, BC = 6 cm. To determine the measure of angle C, we need to use the cosine rule.
The cosine rule states that the square of one side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the other two sides and the cosine of the angle between them.
Mathematically, we can represent it as follows:a² = b² + c² - 2bc cos(A)where a is the side opposite to angle A, b is the side opposite to angle B, c is the side opposite to angle C.
In this case, we have AB = c = 8 cm, BC = a = 6 cm, and AC = b. We need to find the measure of angle C, which is represented as cos(C).
Using the cosine rule, we can write the equation as follows:$$\begin{aligned} b^2 &= c^2 + a^2 - 2ca\cos(C) \\ \Right arrow b^2 &= 8^2 + 6^2 - 2 \times 8 \times 6 \cos(C) \\ \Right arrow b^2 &= 64 + 36 - 96 \cos(C) \\ \Right arrow b^2 &= 100 - 96 \cos(C) \end{aligned}$$We know that b is a positive length. Hence, b² > 0 or 100 - 96 cos(C) > 0. Solving for cos(C),
we get: cos(C) < 100/96cos(C) < 1.0417Using a calculator, we can determine the inverse cosine of 1.0417 as:cos⁻¹(1.0417) = 0.4569 radians = 26.201° (rounded to the nearest degree)
Therefore, the measure of angle C is approximately 26°.
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She borrows $25.63 from her sister to help pay for the dress. Then Jenny earns $16.33 helping her dad organize his home office. If she gives all the earnings to her sister, Jenny will still owe her sister $
.
Answers
she still owes 9.3$
answer : 9.30$
Step-by-Step-
25.63-16.33=9.30
Jenny still owns $9.30 dollars to her sister.
Hope this helps :)
A cylindrical steel pipe with a liquid is 21 cm long with radius 0, 4 cm and its hollow part is of radius 0, 1 cm. What is the volume of liquid, in litres, in the pipe? A. 9000 litres B. 9400 litres C. 9900 litres D. 10100 litres
Answers
Rounding to the nearest liter, the volume of the liquid in the pipe is approximately 0.01 liters. Therefore, none of the options A, B, C, or D provided is the correct answer.
To calculate the volume of the liquid in the cylindrical steel pipe, we need to find the difference in volume between the solid cylinder (hollow part) and the hollow cylinder.
Given:
Length of the cylindrical steel pipe (hollow part) = 21 cm
Radius of the solid cylinder = 0.4 cm
Radius of the hollow cylinder = 0.1 cm
First, let's calculate the volume of the solid cylinder (hollow part):
V1 = π × \(r1^2\) × h
V1 = π × \((0.4 cm)^2\) × 21 cm
Next, let's calculate the volume of the hollow cylinder:
V2 = π × \(r2^2\) × h
V2 = π × \((0.1 cm)^2\) × 21 cm
Now, we can find the volume of the liquid in the pipe by subtracting V2 from V1:
Volume of liquid = V1 - V2
Let's calculate these values:
V1 = π ×\((0.4 cm)^2\) × 21 cm ≈ 10.572 cm³
V2 = π × \((0.1 cm)^2\) × 21 cm ≈ 0.693 cm³
Volume of liquid = V1 - V2 ≈ 10.572 cm³ - 0.693 cm³ ≈ 9.879 cm³
To convert the volume from cubic centimeters (cm³) to liters (L), we divide by 1000:
Volume of liquid in liters ≈ 9.879 cm³ / 1000 ≈ 0.009879 L
Rounding to the nearest liter, the volume of the liquid in the pipe is approximately 0.01 liters.
Therefore, none of the options A, B, C, or D provided is the correct answer.
for such more question on volume
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-3 + 12x^2 + 3x - 5x^2 + 2x + 6 =
Answers
-3 + 12x² + 3x - 5x² + 2x + 6
Solution:--3 + 12x² + 3x - 5x² + 2x + 612x² - 5x² + 3x + 2x + 6 - 37x² + 5x + 3Answer:-7x² + 5x + 3
How to answer matrix question 1.
A=
5 -3
-9 0
-5 1
-7 -4
G=
-1 -9
-3 -10
8 -6
1 0
4[A] + 2[G] =
Answers
Answer:
A=4 -3 5.3748362
Step-by-step explanation:
The table shown below shows some values for functions f(x) and g(x). What is/are the solution(s) to f(x)=g(x)? Explain your answer(s).
Answers
a. The solutions to the system of equations f(x) = g(x) are given as follows: x = 0 and x = 1.
b. The explanation is that they have the same numeric value at these values of x.
How to interpret the solution of a system of equations?A system of equations is composed by multiple equations.
The solution to the system of equations is the point of intersection of all these equations, which happen when all these equations have the same numeric value.
More can be learned about a system of equations at https://brainly.com/question/13729904
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