"At Truman Middle School, 2/3 of the girls surveyed preferred playing capture the flag at gym. If 600 girls responded to the survey, how many preferred playing something else?"

Answers

Answer 1
Answer:

Answer:

200 girls

Step-by-step explanation:

Divide 600 by three in order to get two hundred. Add another two hundred as 2 thirds of the girls preferred capture the flag so the remaining 200 girls preferred other sports.

600/3= 200

200+200=400

600-400=200

Hope this helps


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when 15 is subtracted from the measure of an angle, the result is the measure of a right angle. what is the measure of the original angle?

Answers

Answer:

105° is the measurement of the original angle.

Step-by-step explanation:

Let the measure of an angle is x.

Then by the statement of the question we can form an equation

x - 15 = 90

(When 15 is subtracted form the measure of an angle, the result is the measure of a right angle)

x = 90 + 15 = 105°

Therefore the original angle is 105°.

Answer:

105

Step-by-step explanation:

Which statement is true about the following system of equations3x-1/2y=1
x+2y=7
A)y=x
B)y<x
C)it cannot be determined
D)y>x

Answers

\left\{\begin{array}{ccc}(3x-1)/(2y)=1\nx+2y=7\end{array}\right\n\n\left\{\begin{array}{ccc}(3x-1)/(2y)=1\n2y=7-x\end{array}\right\n\nsubstitute:\n\n(3x-1)/(7-x)=1\iff3x-1=7-x\n\n3x+x=7+1\n4x=8\nx=2\n\n2y=7-2\n2y=5\ny=2.5\n\nAnswer:D)\ y > x
You have to solve the system of equations for 'x' and 'y'. When you do that,
you discover that x=0.846 and y=3.076. So Y > X .

The dimensions in inches of a shipping box at We Ship 4 You can be expressed as width x, length x + 5, and height 3x – 1. The volume is about 7.6 ft3. Find the dimensions of the box in inches. Round to the nearest inch.

Answers

If you would like to find the dimensions of the box in inches, you can calculate this using the following steps:

width ... x inches
length ... (x + 5) inches
height ... (3 * x - 1) inches

volume ... 7.6 ft³
1 foot = 12 inches
7.6 ft³ = 13132.80 in³

volume = width * length * height
13133 = x * (x + 5) * (3 * x - 1)
13133 = (x^2 + 5 * x) * (3 * x - 1)
13133 = 3 * x^3 - x^2 + 15 * x^2 - 5 * x
13133 = 3 * x^3 + 14 * x^2 - 5 * x
0 = 3 * x^3 + 14 * x^2 - 5 * x - 13133
1. x ≈ 14.972 ≈ 15
2.x ≈ -9.820 + 13.998 * i
3. x ≈ -9.820 - 13.998 * i

width ... x inches = 15 inches
length ... (x + 5) inches = 15 + 5 = 20 inches
height ... (3 * x - 1) inches = 3 * 15 - 1 = 45 - 1 = 44 inches

The dimensions of the box are 15 inches, 20 inches and 44 inches.

The suspect was spotted riding the swings earlier in the day. Each swing can hold a maximum weight of 500 pounds. In order to reach the maximum weight, you would have to double the weight of the suspect and add 20 pounds less than the weight of George. Write and solve an equation to represent the suspect's weight.

Answers

Answer:

s = 260 - g/2

Step-by-step explanation:

Given the following :

Maximum weight swing can hold = 500 pounds

Let suspect's weight = s

George's weight = g

To reach maximum weight :

Double weight of suspect + (George's weight - 20)

Hence, equation:

2s + (g - 20) = 500

2s + g - 20 = 500

2s + g = 500 + 20

2s + g = 520

2s = 520 - g

Divide through by 2

s = 260 - g/2

The question can be represented by the equation 2S + G - 20 = 500, where S is the suspect's weight and G is George's weight. To solve for the suspect's weight, we need to know George's weight.

The question asks for an equation to determine the weight of the suspect based on given conditions. We can express the condition as a mathematical equation. If we let S be the weight of the suspect and G be the weight of George, the information gives us the equation 2S + G - 20 = 500. To solve for the suspect's weight, we will need the weight of George. Without this, there are an infinite number of solutions for S. However, if we were given George's weight, we could subtract 20 from it, subtract that value from 500, and then divide by 2 to get the suspect's weight. As an example, if George weighed 220 pounds, the suspect would weigh (500 - (220 - 20)) / 2 = 150 pounds.

For more about Algebraic Equations:

brainly.com/question/32183344

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How many miles do you estimate it would be if you still the strip around the equator

Answers

It's not possible to come up with an estimate, because nobody here knows what it means to "still the strip".

What is the sum of the polynomials? ( 8x^2 -9y^2-4x) + (x^2- 3y^2- 7x) answer options are in the pics

Answers

Answer:  The correct option is (D) 9x^2-12y^2-11x.

Step-by-step explanation:  We are given to find the following sum of the polynomials :

S=(8x^2-9y^2-4x)+(x^2-3y^2-7x)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

To find the required sum, we need to add the coefficients of the same unknown variables with equal powers.

The sum of the polynomials in (i) is as follows :

S\n\n=(8x^2-9y^2-4x)+(x^2-3y^2-7x)\n\n=8x^2-9y^2-4x+x^2-3y^2-7x\n\n=(8+1)x^2-(9+3)y^2-(4+7)x\n\n=9x^2-12y^2-11x.

Thus, the required sum of the polynomials is9x^2-12y^2-11x.

Option (D) is CORRECT.

(8x^2-9y^2-4x)+(x^2-3y^2-7x)

First, get rid of the parentheses and combine like terms

(8x^2+x^2)(-9y^2-3y^2)(-4x-7x)

9x^2-12y^2-11x is your answer