9514 1404 393
Answer:
2000, 3000, 7000
Step-by-step explanation:
The total number of ratio units is 2+3+7=12, so each stands for 1000 in the share.
The girls get 2000 : 3000 : 7000.
There is a pile of 55 coins consisting of nickels and dimes worth $3.90. Find the number of each if you say that the nickels are x.
Answer:
There are 32 nickels and 23 dimes.
Step-by-step explanation:
Lets say x is nickels and y is dimes
The first equation would be 55 = x + y
The second equation would be .05x + .10y = 3.90
The Solving Part:
Move y to the other side: x = 55 - y
Substitute x in the second equation: .05(55-y) + .10y = 3.90
Distribute, rearrange, and combine like terms: .05y = 1.15
Solve for y: Y = 23
Plug in 23 for y and solve: 55 - y = x ; 55 - 23 = x ; 55 - 23 = 32
x = 32
y = 23
32 nickels and 23 dimes
Answer:
There are 32 nickels and 23 dimes.
Step-by-step explanation:
Yay :) we solved the problem together :)))))
The domain is ? (image attached)
678876590* 34567845678
Answer:
ano yan ang tanong mo
Step-by-step explanation:
ano yan
2x– 5(x– 3) = 2 (x– 10)
Answer:
x-2=-3
Step-by-step explanation:
x ^2 + 9 = 73
| 3 y | + 3 = 3
x − 2 = − 3
2x-5(x-3)=2(x-10)
First multiply the parentheses.
2x-5x+15=2x-20
Then combine like terms.
-3x+15=2x-20
Then add 20 to both sides.
-3x+35=2x
Then add 3x to both sides.
35=5x
Finally, divide 5 from both sides.
7=x
hope it helps!
Jessie pays $2 for each carnival ride plus $8
on food. His mom told him he could spend at
most $35. Write an algebraic inequality that
shows at most how many rides Jessie can
ride. Let x=number of rides he can get on.
Complete the table. Answer should be T or F.
P Q
T F P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
F T P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
P Q P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
T T T T T F F F F F T T
F T T F F T T T T T F F
P F T F F T T T T T F F
-P T T F F T T T T T F F
-Q T T T T F T F F F T T
-P V -Q T T F F T T T T T F
-P -> Q T T F F T T T T T F
-P -> -Q T T F F T T T T T F
P <-> Q T T T T F T T T T F
Here is a more detailed explanation of how I filled out the table:
P | Q : This column is simply the truth value of P and Q. If P and Q are both true, then the entry in this column is T. If P is true and Q is false, then the entry in this column is F. If P is false and Q is true, then the entry in this column is F. And if P and Q are both false, then the entry in this column is T.
P V Q : This column is the truth value of P or Q. If P is true, then the entry in this column is T. If Q is true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.
P ^ Q : This column is the truth value of P and Q. If P and Q are both true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.
P -> Q : This column is the truth value of P implies Q. If P is true and Q is false, then the entry in this column is F. And if P is false or Q is true, then the entry in this column is T.
-P : This column is the negation of P. If P is true, then the entry in this column is F. And if P is false, then the entry in this column is T.
-Q : This column is the negation of Q. If Q is true, then the entry in this column is F. And if Q is false, then the entry in this column is T.
-P V -Q : This column is the truth value of not P or not Q. If P and Q are both true, then the entry in this column is F. If P and Q are both false, then the entry in this column is T. And if P or Q is true, then the entry in this column is T.
-P -> Q : This column is the truth value of not P implies Q. If P is true and Q is false, then the entry in this column is T. And if P is false or Q is true, then the entry in this column is F.
-P -> -Q : This column is the truth value of not P implies not Q. If P and Q are both true, then the entry in this column is T. If P is false or Q is false, then the entry in this column is T. And if P is true and Q is true, then the entry in this column is F.
P <-> Q : This column is the truth value of P if and only if Q. If P and Q are both true or P and Q are both false, then the entry in this column is T. And if P and Q have different truth values, then the entry in this column is F.
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Jamal hiked on two trails. The first trail was 8 1/3 miles long, and the second trail was 1 3/5 time as long as the first trail. How many miles did Jamal hike ? Enter as a mixed number in simplest form
Answer:9 14/15
Step-by-step explanation:
hope that helped
A gallon of lemonade contains one cup of sugar. How many tablespoons of sugar are in 1.5 pints of lemonade?
Answer:
the number of table spoons of sugar is 48
Step-by-step explanation:
The computation of the number of table spoons of sugar is shown below:
As we know that
1 cup = 16 tablespoon = 8 ounces
1 gallon = 4 quarts
1 pint = 2 cups = 16 ounces
1 quart = 4 cups (2 pints) = 32 ounces
Given that
One gallon = one cup of sugar
One gallon = 16 tablespoons
Now for 1.5 pints, it is
1.5 pints = 3 cups
= 16 × 3
= 48 tablespoons
Hence, the number of table spoons of sugar is 48
8. The first three terms of a geometric sequence are ( x-6), 3x, and y. If the common ratio is 6, then the value of y is.
Answer:
The value of y is 216
(and the value of x is 12)
Step-by-step explanation:
The general formula for a geometric sequence is,
\(a_n = a_1(r)^{n-1}\)
Where n represents the nth term, a_1 is the first term and r is the common ratio,
we see that,
r = 6,
the first term is,
a_1 = (x-6)
the 2nd term is,
a_2 = 3x,
the 3rd term is,
a_3 = y, finding y,
first we find x, using the above given formula we have,
\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)
x = 12,
Now, for y we can use the relation between a_3 and a_2,
\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)
y = 216
Bean Seed Growth Temp 25 20 15 10 Days S 7 9 If the trend continues, how many days will it take at 10 degrees?
The needed number of days at 10 degrees is given as follows:
11 days.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.For this problem, we have that when x decreases by 5, y increases by 2, hence the slope m is given as follows:
m = -2/5
m = -0.4.
Hence the time needed for a temperature of 10 degrees is given as follows:
9 + 2 = 11 days.
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ABCD is a quadrilateral such that every pair of adjacent angles are supplementary (their sum is 180 ). Prove that ABCD is a parallelogram.
- If angle A is supplementary to angle B, then angle A=180-angle B
- If angle B is supplementary to angle C, then angle C=180-angle B
- For the first 2 arguments we have angle A=angle C
-If angle C is supplementary to angle D, then angle D=180-angle C
- If angle B is supplementary to angle C, then angle B=180-angle C
- For the last two arguments we have angle B=angle D
If angle A=angle C and angle B=angle D the quadrilateral ABCD is a parallelogram
Flying against the jetstream, a plane travels 3,132 miles in 9 hours. The same plane flying with the jetstream travels 1.5 times the distance it traveled going against the jetstream. If the plane travels 435 miles per hour, what is the speed of the jetstream?
Answer: 87
Step-by-step explanation:
3,132/9 = 348
348x1.5 = 522
522-435 = 87
i think?
a father was 25 years older than his son five years ago. if the product of the son and his father's ages then was 900 years. how old is the son now.
Answer:
25
Step-by-step explanation:
Let x represent the son's age now. 5 years ago, it was x-5, and the father's age was (x -5)+25 = (x+20).
The product of their ages at that time was 900, so we have ...
(x -5)(x +20) = 900
x^2 +15x -100 = 900
x^2 +15x -1000 = 0 . . . . subtract 900
(x +40)(x -25) = 0 . . . . factor
x = -40 or +25 . . . . these values make the factors zero
The son's age now is 25.
A researcher wishes to estimate the proportion of all adults who own a cell phone. He takes a random sample of 2000 adults; 1650 of them own a cell phone. The population of interest to the researcher is:______
Answer:
All the adults
Step-by-step explanation:
The question says that the researcher wants to estimate all adults that own a cell phone.
So the population of interest is all the adults.
The statistic is the proportion p^ of the random sample of 2000 adults;
P^ = 1650/2000
= 0.825
The parameter of interest in the question is p, which is the proportion of those adults that own a cell phone.
Suppose that a population of bacteria triples every hour and starts with 700 bacteria.
(a) Find an expression for the number n of bacteria after t hours.
(b) Estimate the rate of growth of the bacteria population after 1.5 hours.
Answer:
(a) An expression for the number n of bacteria after t hours is n(t)=700*\(3^{t}\)
(b) The rate of growth of the bacteria population after 1.5 hours is 3,996 number of bacteria per hour.
Step-by-step explanation:
An exponential function is one in which the independent variable x appears in the exponent and has a constant a as its base. Its expression is:
f(x)=aˣ
being a real positive.
When 0 <a <1, then the exponential function is a decreasing function and when a> 1, it is an increasing function.
An exponential function allows us to refer to phenomena that grow faster and faster, such as population growth.
In that case, the formula used to model the growth of a population is given by:
P(t)=P0*\(a^{t}\)
where the function P (t) grows exponentially and represents the quantity of the population at time t; a represents the constant of growth or decrease and P0 represents the initial population at time zero.
In this case:
P0=700a=3Replacing, you get:
P(t)=700*\(3^{t}\)
An expression for the number n of bacteria after t hours is n(t)=700*\(3^{t}\)
The derivative of this function P (t) is:
n'(t)=700*ln(3)*\(3^{t}\)
and reflects the growth rate of the bacteria population.
So, the rate of growth of the bacteria population after 1.5 hours is:
n(1.5)=700*ln(3)*\(3^{1.5}\)
Solving, you get:
n(1.5)≅ 3,996
The rate of growth of the bacteria population after 1.5 hours is 3,996 number of bacteria per hour.
Log n 2=1/3
Find the unknown base
Answer:
0.3333333333 is right answer
A t-shirt requires 1 3/8 yards of material. How many t-shirts can be made from 41 1/4 yards of material?
Applying the knowledge of fractions, the number of t-shirts that can be made is: 30 t-shirts.
How to Divide Fractions?In the problem given, we have the following information:
Material needed for one t-shirt = 1 3/8 yards
We want to find how many 1 3/4 we would find in 41 1/4.
Applying the knowledge of fraction, we are to divide 41 1/4 by 1 3/8. Convert both mixed fractions to improper fractions then divide:
41 1/4 ÷ 1 3/8
165/4 ÷ 11/8
165/4 × 8/11
165/4 × 8/11
15/1 × 2/1
= (15 × 2)/(1 × 1)
= 30/1
= 30.
Therefore, applying the knowledge of fractions, the number of t-shirts that can be made is: 30 t-shirts.
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Bakeware, a bake, ware production company, has a production cost of $6 per round cake pan. Each round cake pan sells for $15. Bakeware's monthly fixed cost is $180,000.
A. Find the break-even quantity.
B. Find the break-even revenue.
C. Find the break-even point.
D. If the company produces and sells 15,000 pans, will this result in a profit or a loss?
E. If the company produces and sells 28,000 pans, will this result in a profit or a loss?
Answer:
your cheating
Step-by-step explanation:
stopppp
Caleb was given a gift card for a coffee shop. Each morning, Caleb uses the card to buy one cup of coffee. The original amount of money on the gift card was $45 and after buying 8 cups of coffee, the card had a $25 remaining balance. Write an equation for A,A, in terms of x,x, representing the amount money remaining on the card after buying xx cups of coffee.
Answer:A= -2.50x + 45
Step-by-step explanation:
can someone help me pls
The equation of the circle with center (-3, 6) and radius 2 units is: \((x + 3)^2 + (y - 6)^2 = 4\)
Define the term Circle?The points in a plane that are equally spaced apart from a fixed point known as the center make up a circle, which is a two-dimensional geometric object. The radius, represented by the letter "r," is the distance a circle's center is from any point on its surface. The diameter of a circle is the length of any line segment that connects any two locations on the circle and passes through its center. The diameter is two times longer than the radius.
From the given plot, we can find out,
the center of a circle is (-3, 6) and radius is 2 unit.
we can use the standard form equation of a circle to find its equation:
\((x - h)^2 + (y - k)^2 = r^2\)
where (h, k) is the center of the circle and r is the radius.
Substituting the values given, we get:
\((x - (-3))^2 + (y - 6)^2 = 2^2\)
Simplifying this equation, we get:
\((x + 3)^2 + (y - 6)^2 = 4\)
Therefore, the equation of the circle with center (-3, 6) and radius 2 units is: \((x + 3)^2 + (y - 6)^2 = 4\)
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Determine whether each relation is a function. Explain as well please.
1. (5,5),(6,2),(8,4)
2. (7,3),(7,9),(9,6)
3. (5,5),(5,6),(5,2),(7,5),(8,8)
4. (6,6),(5,6),(7,7),(8,7)
1) yes, because no x values repeats itself
2)no, because an x value repeats itself (7)
3)no, because an x value repeats itself (5)
1) yes, because no x value repeats itself
Question 1 (1 point)
In the context of elevation, what would | -7 | feet mean?
O a
O b
Oc
Od
The vertical distance between the point at 7 feet and sea level (0 feet).
The vertical distance between the point at -7 feet and sea level (0 feet).
The horizontal distance between the point at 7 feet and sea level (0 feet).
The horizontal distance between the point at -7 feet and sea level (0 feet).
The correct answer is option (b) The vertical distance between the point at -7 feet and sea level (0 feet)
What is elevation?
The elevation is the height of an object or point above a given reference point, usually sea level. It is often used to describe the height or altitude of a geographic location, such as a mountain peak or a city, and is commonly measured in feet or meters.
In the context of elevation, | -7 | feet would mean the vertical distance between the point at -7 feet and sea level (0 feet).
The vertical distance between two points is calculated by taking the absolute value of the difference between their elevations. So, in this case, the absolute value of -7 is 7, which means the point is 7 feet below sea level.
The correct answer is option (b) The vertical distance between the point at -7 feet and sea level (0 feet).
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100 points will mark brainliest
screenshots attached below
please no trollling
Graphs 1, 2, and 3 have no solution, one solution, and infinitely many solutions. And the system 1, 2, and 3 is solved by the elimination method, elimination method, and substitution method respectively.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The graphs and system of the linear equations are shown.
Graph 1 represents the no solution because the lines are parallel.
Graph 2 represents the one solution because the lines are intersecting.
Graph 3 represents the infinitely many solutions because the lines are coincident.
System 1 can be solved by the elimination method because the coefficient of y is equal but opposite in sign.
System 2 can be solved by the elimination method because the coefficient of y is equal.
System 3 can be solved by the substitution method because the variable x is separated already.
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If you can, give the explanation. I'm finding these very difficult.
Answer:
Gustavo
Step-by-step explanation:
if anything this looks like 38-19n, if the first term is n=1.
But as that isn't an option, gustavo should be correct, as his sequence would go down by 19 each time (yuki's would go up by 19 each time, not down like the sequence shows)
Makesha lost 58.5 pounds in 18 weeks. Find her rate of loss in pounds per week.
Which number doesn't share the same pattern as:
12, 24, 9, 3, 300, 39
The number that does not belong to the sequence 3, 9, 12, 24, 39, 300 is 300.
What is a sequence?A sequence refers to a set of numbers that share common features and are organized following a pattern.
What is the principle of this sequence?In this case, all numbers are multiples of 3 and they are organized.
Here is the sequence:
3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39Based on this, the number that does not belong to the sequence is 300 because even if this is a multiple of 3, it is expected a number such as 42 or 48 follows the sequence.
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please see picture for question
determine the equation of the circle centered at (3 comma space minus 2 ), with radius 4.
The center of the circle is (3 , -2) and the radius is 4 then the equation of circle is (x)² + (y)²-6x+4y = 3
What is a circle?
The circle is defined as the locus of the point traces around a fixed point called as the center and is equidistant from the outer trace.
All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.
The equation of the circle is,
( x - h )² + ( y - k )² = r²
(x-3)² + (y+2)² = 16
(x)² + (y)²-6x+9 +4y+4 = 16
(x)² + (y)²-6x+4y = 3
Compare the equations and find the center and radius,
Center = ( h,k) = ( 3, -2)
Radius = r = 4
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Determine the equation of the line below using the given slope and point.
Slope = m = 4 , Point (-3,-11)
\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-11})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-11)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-3)}) \implies y +11 = 4 ( x +3) \\\\\\ y+11=4x+12\implies {\Large \begin{array}{llll} y=4x+1 \end{array}}\)
The equation is:
⇨ y + 11 = 4(x + 3)Work/explanation:
Recall that the point slope formula is \(\rm{y-y_1=m(x-x_1)}\),
where m is the slope and (x₁, y₁) is a point on the line.
Plug in the data:
\(\rm{y-(-11)=4(x-(-3)}\)
Simplify.
\(\rm{y+11=4(x+3)}\)
Hence, the point slope equation is y + 11 = 4(x + 3).Simplified to slope intercept:
\(\rm{y+11=4x+12}\)
\(\rm{y=4x+1}\) <- this is the simplified slope intercept equation
Consider function g.
g(x) = 5/x - 1 + 2
What is the average rate of change of function g over the interval [-4, 3]?
A. 1/2
B. -1/2
C. -7/2
D. 2
*42 points*
Answer:
C. -7/2
Step-by-step explanation:
Answer:
-7/2
Step-by-step explanation:
correct on plato!