Which calculations could be used to solve this problem? There are 21 children at Corie's party. There are 2 times as many girls as boys at the party.

How many girls are at the party?

Choose all answers that are correct.

A.
Multiply 21 × 2. Divide the product by 3.

B.
Add 21 + 2. Divide the sum by 3.

C.
Divide 21 ÷ 3. Subtract the quotient from 21.

D.
Divide 21 ÷ 3. Multiply the quotient by 2.

Answers

Answer 1
Answer: Given:
total of 21 children
2 times as many girls as boys at the party.

Let x be the number of boys.

boy + girls = 21
x + 2x = 21
3x = 21
x = 21/3
x = 7  number of boys

2x = 2(7) = 14 number of girls.

C. Divide 21 ÷ 3. Subtract the quotient from 21.
D. Divide 21 ÷ 3. Multiply the quotient by 2.

Related Questions

I need help solving this
What is 6q^2 + 23q + 21
A company makes concrete paving stones in different sizes. Each stone has a volume of 360 cubic inches and a height of 4 inches. How many different paving stones could be made if any whole number length and width?
A fruit seller purchased 20 kg of apples at Rs 80 per kg and sold them at Rs 85 per kg. find profit and profit percent​
Math help!!! Explain when is a rational expression restricted.

If (x1, y1) = (2, 3); x2= 3 and y3 = -2 and G is (0,0), Find y2 and x3.​

Answers

Its very simple\

To find the values of x2 and y2 for point G(0,0) when you are given that G is the midpoint of points (x1, y1) and (x3, y3), you can use the midpoint formula:

Midpoint formula:

(x, y) = ((x1 + x3) / 2, (y1 + y3) / 2)

Given:

(x1, y1) = (2, 3)

G(0, 0)

Plug these values into the midpoint formula:

(0, 0) = ((2 + x3) / 2, (3 + y3) / 2)

Now, solve for x3 and y3:

For x3:

0 = (2 + x3) / 2

Multiply both sides by 2 to isolate x3:

0 = 2 + x3

Subtract 2 from both sides to find x3:

x3 = -2

For y3:

0 = (3 + y3) / 2

Multiply both sides by 2 to isolate y3:

0 = 3 + y3

Subtract 3 from both sides to find y3:

y3 = -3

So, the values are:

x3 = -2

y3 = -3

Therefore, the coordinates for point (x2, y2) are:

x2 = 3

y2 = -3

B1 of a trapezoid in which Area = (48x+68) inch squared, Height = 8 in, B2 = (9x + 12) in.what I have so far is

48x +68 = 8 (B1 + 9x +12)

what do I do from there????????????????? the question is asking to solve for Base 1/ B1

Answers

A=(1/2)(b1+b2)h =

=(48x+68)in² = (1/2)( b1+(9x+12))8

=b1= 3x+5

In this hanger, the weight of the triangle is x and the weight of the square is y. 1. Write an equation using x and y to represent the hanger. x + y = x + y 2. If x is 6, what is y?

Answers

Answer:

a. Equation is 3x - 2y = 0

b. x = 6 and y = 9

Step-by-step explanation:

a.

Given that

The Weight of the square is y

And, the weight of the triangle is x

Now the equation according to the attached diagram is

x + 3y = 4x + y

4x - x + 3y - y = 0

3x - 2y = 0

b.

Now if x  = 6

So, y would be

3x - 2y = 0

3x = 2y

3(6) = 2y

18 = 2y

y = 9

We simply applied the above equation so that the correct value could come

And, the same is to be considered

Final answer:

The equation x + y = x + y represents the hanger with the weights of the triangle and square. When x is 6, y can be any value.

Explanation:

The question asks for an equation to represent the hanger with the weights of the triangle and square. Since the weight of the triangle is represented by x and the weight of the square is represented by y, the equation can be written as x + y = x + y. This equation shows that the sum of the weights on each side of the hanger is equal.

To find the value of y when x is 6, we can substitute the value of x into the equation. x + y = 6 + y. By subtracting y from both sides, we get x = 6. Therefore, when x is 6, y can be any value since it cancels out from both sides of the equation.

Learn more about Equations here:

brainly.com/question/18577777

#SPJ11

A ball is dropped from a height of 6 m.After each bounce the ball rises to 2/3
of its previous height. What height
will it reach after the third bounce?

Answers

Answer:

1.7342 m

Step-by-step explanation:

in order to find this, we need to find what 2 thirds of 6 is. The answer to that is 4, because 2/3 can be changed to 4/6, which means the 1st bounce would reach a height of 4m. Now, we need to find 2 thirds of 4, which is mildly harder. In order to find the exact value, we need to find what to multiply 3 by to get to 4. Unfortunately, you cant do that. Fortunately, though, I looked it up. So, On the 2nd bounce, the ball would reach 2.6 m. Now, we need to find 2 thirds of THAT, too, which would equal, on the third bounce, 1.7342 m.

Final answer:

The height of the ball after the third bounce is approximately 1.78 m.

Explanation:

To find the height after the third bounce, we need to calculate the height after each bounce and then determine the height after the third bounce.

Given that the ball rises to 2/3 of its previous height after each bounce, we can start with the initial height of 6 m and calculate the height after the first bounce, which is 6 * 2/3 = 4 m.

Similarly, after the second bounce, the height will be 4 * 2/3 = 8/3 m. Finally, after the third bounce, the height will be (8/3) * (2/3) = 16/9 m, which is approximately 1.78 m. Therefore, after the third bounce, the ball will reach a height of approximately 1.78 m.

Learn more about height after bounces here:

brainly.com/question/34163008

#SPJ11

Functions 1 and 2 are shown below:Function 1: f(x) = −3x2 + 2
A graph of a parabola with x intercepts of negative 0.5, 0 and 2, 0 and a vertex of 0.5, 4 is shown.

Which function has a larger maximum? Type your answer as 1 or 2.

Answers

Answer:

The function 2 has a larger maximum.

Step-by-step explanation:

The vertex form of the parabola is

f(x)=a(x-h)^2+k              .... (1)

Where, (h,k) is the vertex.

The given functions are

f(x)=-3x^2+2                 ..... (2)

Since the leading coefficient is negative, therefore it is a downward parabola. It means the vertex of the parabola is the maximum point.

On comparing (1) and (2), we get

h=0,k=2

Therefore the maximum value of the function is 2 at x=0.

The second function has x intercepts of (-0.5, 0) and (2, 0) and a vertex of (0.5, 4).

It is also a downward parabola because the parabola has two x-intercepts and the vertex lies above the x-axis.

Since the vertex is (0.5, 4), therefore the maximum value of the function is 4 at x=0.5.

Maximum(F_1)=2

Maximum(F_2)=4

Therefore function 2 has a larger maximum.

Answer:

the anwser is 2 guys. i got it correct

Multiply 3⁄4 × 16⁄9 .
A. 64⁄27
B. 3⁄4
C. 27⁄64
D. 4⁄3

Answers

Answer:

Option D (4)/(3)

Step-by-step explanation:

we know that

The product of two fractions is equal to the product of the numerators divided by the product of the denominators

so

(3)/(4)*(16)/(9)=(3*16)/(4*9)\n \n=(48)/(36)\n \n=(24)/(18)\n \n=(4)/(3)

I believe that the answer to this question is D. 4⁄3