the length of a tennis court is 78 feet. this is 3 less than 3 times the width of the court. what is the width of the court

Answers

Answer 1

Answer: $length:l=78ft.\n\nw-width\n\nl=3w+3\n\n3w+3=78\ \ \ \ /-3\n\n3w=75\ \ \ \ /:3\n\nw=25\ (ft.)\leftarrow answer$

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What is the value of x in the following proportion? 7/x-5 = 15/x+4

Answers

For this question you should first add -15/x on both sides of the equation and then add +5 on both sides:
7/x - 15/x = 5 + 4
-8/x = 9
so now you can multiply both sides by x:
-8 = 9x
now you should divide both sides by 9:
-8/9 = x :)))
I hope this is helpful
have a nice day

ANSWER ASAP PLEASE! What is the equation of the parabola in standard form given the vertex is (7,9) and the focus is (-5,9)?(y-_)^2 = _(x-_)

Answers

Answer: (y - 9)^2 = -48(x - 7)

Step-by-step explanation:

To find the equation of the parabola in standard form, we can use the formula (y - k)^2 = 4p(x - h), where (h, k) is the vertex and p is the distance between the vertex and the focus.

Given that the vertex is (7, 9) and the focus is (-5, 9), we can see that the vertex and focus have the same y-coordinate, which means the parabola opens horizontally.

The vertex is (h, k) = (7, 9) and the focus is (h + p, k) = (-5, 9). By comparing the x-coordinates, we can find p.

-5 = 7 + p

p = -12

Substituting the values into the formula, we get:

(y - 9)^2 = 4(-12)(x - 7)

So, the equation of the parabola in standard form is (y - 9)^2 = -48(x - 7).

(hope this helped)

Suppose C and D represent two different school populations where C > D and C and D must be greater than 0. Which of the following expressions is the largest? Explain why. Show all work necessary.. . . (C + D)2. 2(C + D). C2 + D2. C2 − D2

Answers

Answer:

the largest is: $C^2+D^2$

Step-by-step explanation:

We are given the expression C>D>0.

As C and D represent two different school populations. This means that C and D will be natural numbers.

C+D<2×(C+D)

Also $C^2+D^2>C^2-D^2$ .

the largest among these expressions is $C^2+D^2$

The question or the problem wants to choose among the following expression is the largest, base on the data presented in the problem, the possible answer among the following choices is C2+D2. I hope you are satisfied with my answer and feel free to ask for more

Determine the solution to the system of equations by using substitution. Y=4x+10
Y=-5x-10

Answers

Steps:
1. Substitute the y in 4x + 10 with -5x-10
-5x-10= 4x + 10
2. Add 5x on both sides
-10= 9x + 10
3. Subtract 10 on both sides
-20= 9x
4. Divide by 9 on both sides
5. Your answer is
X= -20/9

$y=4x+10\ny=-5x-10\n\n4x+10=-5x-10\n9x=-20\nx=-(20)/(9)\n\ny=4\cdot(-(20)/(9))+10\ny=-(80)/(9)+(90)/(9)\ny=(10)/(9)\n$

Solve the equation 4p+9+(-7p)+2=

Answers

4p+9-7p+2=
group like terms
4p-7p+9+2
addd like terms
-3p+11
that is simplified form

The price of play equipment for the school has just been reduced by 25%. The new , reduced price of the play equipment is 1500. What is the original price before the reduction?

Answers

1775
hope this answer was right!
you multiply 1500×.25=275.00+1500=1775

Final answer:

The original price of the play equipment is $2000, if the price of it has been reduced by 25% to become $1500.

Explanation:

This question is about calculating the original price of a product considering a discount percentage. If the reduced price of the play equipment is $1500 after a 25% discount, to find the original price, you need to consider the reduced price as 75% of the original price (since the price is reduced by 25% from the original).

Therefore, you can set up the equation like this: 0.75 × original price = $1500. To find the original price, divide both sides of the equation by 0.75. The calculation would be $1500 / 0.75 = $2000. Thus, the original price of the play equipment is $2000.

Learn more about Price Calculation here:

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