Answer:
5.625 = 45/8 = 5 5/8
Step-by-step explanation:
Eight less than the product of 5 and a number is 3. Use the variable b for the unknown number.
Answer:
2.2
Explanation:
5b - 8 = 3
5b = 3 + 8
5b = 11
b = 11/5
b = 2.2
Answer:
b=2.2 ✨
Explanation:
5b - 8 = 3
5b = 3 + 8
5b = 11
b = \(\frac{11}{5}\)
b = 2.2
Have a great time studying
For the following exercise, find the domain and range of the function below using interval notation.
Domain:
Range:
The domain and range of the function is -3 ≤ x < 7 and -7 ≤ x < 6 respectively.
What is domain and range?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
For domain :-
Since, the domain is the set of all allowed x inputs of a function.
The smallest x can get is x = -3 as shown by the left-most point.
The largest x can get is x = 7, though we can't actually reach this value due to the open hole at the right-most point.
The interval of all possible x values is -3 ≤ x < 7 which converts to the interval notation [-3, 7)
We use a square bracket to include the endpoint and a parenthesis to exclude the endpoint.
We can say "x is any number between -3 and 2, including -3 but excluding 2".
For range :-
Since, the range is the set of all allowed y inputs of a function.
The smallest x can get is x = -7 as shown by the left-most point.
The largest x can get is x = 6, though we can't actually reach this value due to the open hole at the right-most point.
The interval of all possible x values is -7 ≤ x < 6 which converts to the interval notation [-7, 6)
We use a square bracket to include the endpoint and a parenthesis to exclude the endpoint.
Hence, the domain and range of the function is -3 ≤ x < 7 and -7 ≤ x < 6 respectively.
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Convert 10 pounds and 12 ounces to ounces.
Answer: 172 ounces
Step-by-step explanation:
We are given 10 pounds and 12 ounces to convert to ounces.
There are 16 ounces in 1 pound.
We can create a proportion to find out how much ounces 10 pounds is.
10 pounds / x ounces = 1 pound / 16 ounces
We need to solve for x by isolating the variable x.
10/x = 1/16
10 = x/16
10 * 16 = x
160 ounces = x
so 10 pounds is equivalent to 160 ounces. But we are not done yet.
We were asked to convert 10 pounds and 12 ounces.
So add together the ounces to find the total ounces:
160 ounces + 12 ounces = 172 ounces.
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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c.
What is the capacity of the airplane?
An airplane is carrying 180 passengers. This is 9/10 of the capacity of the airplane. What is the capacity of the airplane?
Answer:
the capacity of the airplane be 200 passengers
Step-by-step explanation:
According to the question, the data provided is as follows
Number of passengers in an airplane = 180
Capacity = \(\frac{9}{10}\)
Based on the above information
Let us assume the capacity of the airplane be x
So the equation would be
\(\frac{9}{10} \times x = 180\\\\\\x = \frac{1,800}{9}\)
So x = 200
Therefore the capacity of the airplane be 200 passengers
We simply applied the above equation so that the capacity of the airplane could come
A truck can drive 200 kilometers on 25 liters of gasoline.
How many liters of gasoline do I need to drive 640 kilometers?
imut How many hours will it
SLOPE DIGITAL ESCAPE ROOM
I need help finding the code
By finding all the four slopes, we can see that the word is ECHA.
How to find the word?We know that the general linear equation can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
We know that if the line passes through (x₁, y₁) and (x₂, y₂) then the slope is:
s = (y₂ - y₁)/(x₂ - x₁)
With that formula we can get the slopes.
1) Using the points (0, 3) and (2, 4).
m = (4 - 3)/(2 - 0) = 1/2, so the letter is E.
2)Using (-1, -12) and (1, -8)
m = (-8 + 12)/(1 + 1) = 4/2 = 2, so the letter is C.
3) We have (2, -6) and (-4, -3) so:
m = (-3 + 6)/(-4 - 2) = 3/-6 = -1/2, so the letter is H
4)we can use the points (0, 3) and (1, 1), so:
m = (1 - 3)/(1 - 0) = -2, so the letter is A
Then the word is ECHA
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Sue's bakery sold 850 donuts last week. This week, the number of donuts sold increased 12%. HOW MANY MORE donuts were sold this week as compared to last week
Answer:
102 donuts
Step-by-step explanation:
12% of 850 is 102, so since 12% more donuts are sold this week, we sold 102 more donuts this week compared to last week.
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
simplify the expression 8xy-(x+2xy)+3x
Answer:
6xy + 2x
Step-by-step explanation:
Simplify the expression.8xy-(x+2xy)+3x
What is the circumference of a circle with a radius of 14 feet use 22/7 for pi
2,464?” Feet
616 feet
88 feet
44 feet
The circumference of a circle with a radius of 14 feet is 88 feet.
What precisely is a circle?Every point in the surface of a circle, which is a circular, two-dimensional object, is evenly separated from the centre. All lines that cross the circle join together to produce the line of reflected symmetry. Each angle has axis of symmetry around the centre, in addition. Monitoring a linear interpolation in a surface while keeping a fixed distance from some other point will result in the closed shape of a circle. The English term circle derives from the Greek word curriculum provides students, which also means hoop or ring.
When we find the circumference, we obtain:
The circumference( C) of a circle is 2πr.
C=2πr
⇒C=2×\(\frac{22}{7}\)×14=88 feet.
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What is the value of n so the
expression 3(6+x) is equivalent
to 3(x+n)?
is not the same because you can not add number to alphabet but you can multiple number to alphabet..
Find angles A, B, C and D
Answer: a=101 b=79 c=83 d=97
Simplify the sum.
(-7b^2 + 5b + 2) + (b^2 +9b-4)
PLEASE HELP!!
Answer:
The answer would be 21
Select the correct answer from each drop-down menu. Consider this system of equations: (equation A) (equation B) The solution for the system of equations is .
The solution for the system of equations is: (99/13, 150/13)
Given the two expression 2/3x+3/5y=12 and 5/2y-3x=6
We have to find solution of two given expression.
To find the value of x, we have to eliminate y by making y the subject of formula in any of the equations.
Multiply equation A by 5/3 t.o get,
5/3(2/3x) + 5/3(3/5y) = 5/3(12)
10/9x + y = 20
y = 20 - 10/9x
substituting for y into equation b, we have:
5/2(20 - 10/9x) - 3x = 6
50 - 25/9x - 3x = 6
52/9x = 44
52x = 396
The expression that gives the value of x is: 52x = 396
Hence, x = 396/52 = 99/13
y = 20 - 10/9(99/13) = 20 - 110/13 = 150/13
Hence The solution for the system of equations is: (99/13, 150/13)
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In a class there are 40 students, 28 bought cooked lunch. What percentage of the class bought cooked lunch?
Answer:
70%
Step-by-step explanation:
28 students out of 40 brought cooked lunch
therefore, you take the 28 and divide it by the total number which is 40 to find that 70% brought cooked lunch
28/40=0.7
0.7=70%
fraction bears the same ratio to 1/27 as 3/7 does to 5/9.then the fraction is?
The fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.
To find the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9, we can set up a proportion.
Let's represent the unknown fraction as x. The ratio can be configured as follows:
x / (1/27) = (3/7) / (5/9)
To solve this proportion, we can cross-multiply:
(x * 5/9) = (3/7) * (1/27)
Simplifying the right side:
(x * 5/9) = 3/189
To eliminate the fraction on the left side, we can multiply both sides by the reciprocal of 5/9, which is 9/5:
(x * 5/9) * (9/5) = (3/189) * (9/5)
Simplifying further:
x = 27/35
Therefore, the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.
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Jesse bought 3 tennis balls for $6. How much did each
tennis ball cost?
Answer:
The answer is 2$
Step-by-step explanation:
To get each price of the ball divide the total cost of the purchase divide by the quantity of items.
Is this or is this not a function?
Answer:
This is not a function
Step-by-step explanation:
Assuming that the line in question is parallel with the y axis, by using the line test we can see that the line is not a function. The line test is where you draw straight lines going vertically over the graph and if the lines touch the figure in question more than once that means it's not a function.
This can also be proved by imagining there are 2 different points on the line in question. Since the line is straight vertically that means that the points will share the same x value for different y values, which makes it not a function
Answer:
This is not a function.
Step-by-step explanation:
The questioned parallel line within the y-axis does not meet the requirements to be a function. The line test, as the other person stated, is a test where lines are drawn over the points to determine if the graph / model is, or is not a function. Doing so in this process, if the lines touch the same point more than once, that means the graph is not a function.
Jack runs 3 miles 4 times a week. How many miles does Jack run in 6 weeks
Select a personal or professional example of a measurement you use routinely. Convert the measurement either from U.S customary units to metric units, or from metric units to U.S. customary units. You may choose more than one measurement and may choose among weight, length, temperature, etc. Show each step of your conversion and be sure to include all units from the original and converted measurements (for example, yards to meters, degrees Celsius to degrees Fahrenheit).
A personal example of a measurement I use routinely is converting weight from U.S. customary units to metric units. Let's convert pounds to kilograms.
To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.453592 kilograms.
For example, if I have a weight of 150 pounds, I can calculate the equivalent weight in kilograms as follows:
150 pounds * 0.453592 kilograms/pound = 68.0388 kilograms
Therefore, 150 pounds is approximately equal to 68.0388 kilograms.
In this conversion, we multiply the weight in pounds by the conversion factor to obtain the weight in kilograms. By using the appropriate conversion factor, we can accurately convert weights from U.S. customary units to metric units.
It's important to note that conversion factors may vary slightly depending on the rounding used and the exact value of the conversion factor.
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inequality is shown 1/8
Answer: answer is D 0.02
Step-by-step explanation:
Got it right
Several batches of stew were made yesterday. Each batch required 1 and two-thirds pounds of meat. All together, 10 and StartFraction 5 over 6 EndFraction pounds of meat was used. Janice tried to find the number of batches of stew made. Her work is shown below.
10 and StartFraction 5 over 6 EndFraction divided by 1 and two-thirds = StartFraction 65 over 6 EndFraction divided by five halves = StartFraction 65 over 6 EndFraction times StartFraction 2 over 5 EndFraction = StartFraction 130 over 30 EndFraction = 4 and one-third
When she checked the answer by estimating, it did not make sense. What error did Janice make?
Janice converted a mixed number to the wrong improper fraction.
Janice added the numerators and denominators instead of multiplying.
Janice did not change the division problem to multiplication.
Janice did not convert the improper fraction to a mixed number correctly in the answer.
Mark this and return
The error that Janice made is that she did not convert the improper fraction StartFraction 130 over 30 EndFraction to a mixed number correctly in her final answer.
The error that Janice made can be identified by analyzing her calculations. Let's examine each step she took:
Step 1: 10 and StartFraction 5 over 6 EndFraction divided by 1 and two-thirds
In this step, Janice correctly converted the mixed number to an improper fraction, which becomes 10 and StartFraction 5 over 6 EndFraction = StartFraction 65 over 6 EndFraction.
Step 2: StartFraction 65 over 6 EndFraction divided by five halves
In this step, Janice attempted to divide the fractions. However, she made an error by adding the numerators and denominators instead of multiplying. This is incorrect. The correct operation for dividing fractions is to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of five halves is two fifths.
Step 3: StartFraction 65 over 6 EndFraction times StartFraction 2 over 5 EndFraction
Here, Janice multiplied the fractions correctly. The product of these fractions is StartFraction 130 over 30 EndFraction.
Step 4: StartFraction 130 over 30 EndFraction = 4 and one-third
In this step, Janice attempted to convert the improper fraction to a mixed number. However, she made another error in her calculation. The fraction StartFraction 130 over 30 EndFraction is not equal to 4 and one-third. The correct conversion would yield 4 and two-sixths or 4 and one-third.
Therefore, the error that Janice made is that she did not convert the improper fraction StartFraction 130 over 30 EndFraction to a mixed number correctly in her final answer.
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Suppose a baker claims that the average bread height is more than 15cm. Several of this customers do not believe him. To persuade his customers that he is right, the baker decides to do a hypothesis test. He bakes 10 loaves of bread. The mean height of the sample loaves is 17 cm with a sample standard deviation of 1.9 cm. The heights of all bread loaves are assumed to be normally distributed. The baker is now interested in obtaining a 95% confidence interval for the true mean height of his loaves. What is the lower bound to this confidence interval? 2 cm (round to 2 decimal places) What is the upper bound to this confidence interval? cm (round to 2 decimal places) For the following situations, use RStudio to find the appropriate t-critical values that would be needed to construct a confidence interval. Round all critical values to the second decimal place. 1. n = 15, confidence level is 95%, x= 35 and s = 2.7, t-critical value- 2, n = 37, confidence level is 99%, x= 82 and s = 5.9 t-critical value- 2 3, n 1009, confidence level is 90%, x 0.9 and s-0.04 t- critical value = 2 2
The correct answer is Confidence interval lower bound: 32.52 cm,Confidence interval upper bound: 37.48 cm
To calculate the confidence interval for the true mean height of the loaves, we can use the t-distribution. Given that the sample size is small (n = 10) and the population standard deviation is unknown, the t-distribution is appropriate for constructing the confidence interval.
The formula for a confidence interval for the population mean (μ) is:
Confidence Interval = sample mean ± (t-critical value) * (sample standard deviation / sqrt(sample size))
For the first situation:
n = 15
Confidence level is 95% (which corresponds to an alpha level of 0.05)
x = 35 (sample mean)
s = 2.7 (sample standard deviation)
Using RStudio or a t-table, we can find the t-critical value. The degrees of freedom for this scenario is (n - 1) = (15 - 1) = 14.
The t-critical value at a 95% confidence level with 14 degrees of freedom is approximately 2.145.
Plugging the values into the formula:
Confidence Interval = 35 ± (2.145) * (2.7 / sqrt(15))
Calculating the confidence interval:
Lower Bound = 35 - (2.145) * (2.7 / sqrt(15)) ≈ 32.52 (rounded to 2 decimal places)
Upper Bound = 35 + (2.145) * (2.7 / sqrt(15)) ≈ 37.48 (rounded to 2 decimal places)
Therefore, the lower bound of the confidence interval is approximately 32.52 cm, and the upper bound is approximately 37.48 cm.
For the second situation:
n = 37
Confidence level is 99% (which corresponds to an alpha level of 0.01)
x = 82 (sample mean)
s = 5.9 (sample standard deviation)
The degrees of freedom for this scenario is (n - 1) = (37 - 1) = 36.
The t-critical value at a 99% confidence level with 36 degrees of freedom is approximately 2.711.
Plugging the values into the formula:
Confidence Interval = 82 ± (2.711) * (5.9 / sqrt(37))
Calculating the confidence interval:
Lower Bound = 82 - (2.711) * (5.9 / sqrt(37)) ≈ 78.20 (rounded to 2 decimal places)
Upper Bound = 82 + (2.711) * (5.9 / sqrt(37)) ≈ 85.80 (rounded to 2 decimal places)
Therefore, the lower bound of the confidence interval is approximately 78.20 cm, and the upper bound is approximately 85.80 cm.
For the third situation:
n = 1009
Confidence level is 90% (which corresponds to an alpha level of 0.10)
x = 0.9 (sample mean)
s = 0.04 (sample standard deviation)
The degrees of freedom for this scenario is (n - 1) = (1009 - 1) = 1008.
The t-critical value at a 90% confidence level with 1008 degrees of freedom is approximately 1.645.
Plugging the values into the formula:
Confidence Interval = 0.9 ± (1.645) * (0.04 / sqrt(1009))
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Please help i need it!!!!!
A 6 N crate is lifted 2 meters. How much work is done?
A) 12 N/m
B) 4 N/m
C) 8 N/m
D) 3 N/m
The amount of work done is Option A) 12 N/m
What is work done?Work done is simply defined as the product of the magnitude of displacement, (d) and the component of the force that in the direction of displacement.
It measures energy transfer that occurs when an object is moved to a distance by an external force which is applied in the direction of the displacement.
Work done on a body is equivalent to the increase in the energy of the body, because it transfers energy to the body.
The formula for work done is;
W = fd
Where, 'f' is the applied force and d is the distance
Substitute the values
Work done = 6(2)
Work done = 12 N/m
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Fill in the blank to make the number sentence true. Explain how you know. ?/3 x 11 > 11
Answer:
6
Step-by-step explanation:
Answer:
6/3 x 11 > 11
Step-by-step explanation:
Yolanda used her graphing calculator to graph y= 3x. Her graph is shown at right. Do you think she
did it correctly? Explain.
2. Jericho bought a house in 2010 valued at $450,000. The house has appreciated by 5% each year from 2010 to 2019. Find the value of Jericho's house in 2019. (assume 2010 has an x value of 0).
helpe me please (:
Answer:
the value of Jericho's house in 2019 is approximately $698,597.60.
Step-by-step explanation:
To solve this problem, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
where:
A is the final amount (the value of the house in 2019)
P is the initial amount (the value of the house in 2010, which is $450,000)
r is the annual interest rate (which is 5%, or 0.05, in this case)
n is the number of times the interest is compounded per year (which is 1, since the interest is compounded annually)
t is the time period (in years)
Using the formula, we can find the value of Jericho's house in 2019 as follows:
A = P(1 + r/n)^(nt)
= $450,000(1 + 0.05/1)^(1*9)
= $450,000(1.05)^9
= $450,000(1.551328)
= $698,597.60
Therefore, the value of Jericho's house in 2019 is approximately $698,597.60.
Twice the difference of a number and three is the sum of that number and four
Answer:
Step-by-step explanation:
Answer:
-20
Step-by-step explanation:
We can set up an equations with the conditions we are given. Let's use x for the missing number.
2(x-4)=3(x+4)
2x-8=3x+12
-20=xWe can set up an equations with the conditions we are given. Let's use x for the missing number.
2(x-4)=3(x+4)
2x-8=3x+12
-20=x
PLEASE HELP (WILL GIVE BRAINLIEST
Answer:
V = 62.8 m\(^{3}\)
Step-by-step explanation:
V = pi × (radius)\(^{2}\) × height
V = \(\pi\) × \(r^{2}\) × h
V = (3.14 × [\(2^{2}\)]) × 5
V = (3.14 × 4) × 5
V = 12.56 × 5
V = 62.8 m\(^{3}\)
Find the area of the figure. Round to the nearest tenth if necessary. Use 3.14 for pi . 47.3 units2 41.1 units2 57.1 units2 66.2 units2
Answer:
41.1 units
Step-by-step explanation:
find the area of the triangle
1/2BH
1/2*8*4
4*4=16
find the area half of the circle
pi*R^2
3.14*4^2
3.14*16
50.24/2
^because it is a half circle you divide by 2
25.12+16=41.1