Chad washes windows after school to make some extra money. He charges $5.50 to wash each window. If the customer provides the supplies, Chad deducts $3.25 from the total cost. One customer paid a total of $27.50 and did not provide supplies. Which equation could be used to find the number of windows, w, that Chad washed for this customer? 5.5w + 3.25 = 27.5 5.5w - 3.25 = 27.5 5.5w = 27.5 5.5 - 3.25w = 27.5

Answers

Answer 1
Answer:

Answer:

\$5.50w=\$27.50

Step-by-step explanation:

We know that Chad charges $5.50 per window washed, and he deducts $3.25 from the total cost if the costumer provides the supplies. However, in this case, the costumer doesn't provide the supplies, so Chad will charge $5.50 per window.

This relation can be expressed as

\$5.50w

Where w represents windows.

If he charges $27.50, the relation is

\$5.50w=\$27.50

Therefore, the right answer is the third choice \$5.50w=\$27.50

If you want to find the number of windows Chad washed, you just have to solve the expression

\$5.50w=\$27.50\nw=(\$27.50)/(\$5.50)\n w=5

Chad washed 5 windows.

Answer 2
Answer: 3.25w=27.5 is the correct answer.

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The product of two consecutive integers is 420. An equation is written in standard form to solve for the smaller integer by factoring.What is the constant of the quadratic expression in this equation?

x2 + x + ___ = 0

Answers

Answer:

  • The product of two consecutive integers is 420:

20*21 = 420 and (-21)*(-20) = 420

  • What is the constant of the quadratic expression in this equation?

Any constant less or equal than 0.25

Step-by-step explanation:

The product of two consecutive integers is 420 can be expressed mathematically as follows:

x*(x+1) = 420

After applying distributive property and subtracting 420 at both sides, we get:

x^2 + x - 420 = 0

In order to factorise, we use the quadratic equation as follows:

x = (-b \pm √(b^2-4(a)(c)))/(2(a))

x = (-1 \pm √(1^2-4(1)(-420)))/(2(1))

x = (-1 \pm √(1681))/(2)

x = (-1 \pm 41)/(2)

x_1 = (-1 + 41)/(2)

x_1 = 20

x_2 = (-1 - 41)/(2)

x_2 = -21

Then, 20*21 = 420 and (-21)*(-20) = 420

A quadratic equation with the standard form has a solution to the equation:  a*x^2 + b*x + c = 0 if its discriminant is greater or equal than zero. Mathematically:

b^2-4(a)(c) >= 0

Here a = 1 and b = 1; then,

1^2-4(1)(c) >= 0

-4(c) >= -1

c <= -1/-4

c <= 0.25

x(x + 1) = 420
x^2 + x = 420
x^2 + x + (- 420) = 0 or x^2 + x - 420 = 0

Pls help I am on a lesson plsss give all my points

Answers

Answer:

7 squared is 49 4 squared is 16.. So it's 49 Pi minus 16 pi. And that's going to be 33 pi.

So the answer is 33 pi.

Determine whether each equation has the given ordered pair as a solution.y = 5x + 8; (0,8)

Answers

(8)=5(0)+8 \n 8=8
Plug in 8 for y and 0 for x and solve.

What is the slope of the line passing through the points (-3, 4) and (2, - 1)? A -1B 1
C 3/5
D - 5/3​

Answers

Answer:

A

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y_(2)-y_(1)  )/(x_(2)-x_(1)  )

with (x₁, y₁ ) = (- 3, 4 ) and (x₂, y₂ ) = (2, - 1 )

m = (-1-4)/(2-(-3)) = (-5)/(2+3) = (-5)/(5) = - 1 → A

The sum of three consecutive numbers is 117. find the largest of the numbers

Answers

consecutive means right after each other
difference of 1
numbers are
x,x+1,x+2
their sum is 117
x+x+1+x+2=117
add
3x+3=117
subtract 3 form both sides
3x=114
divide both sides by 114
x=38
largest number is x+2
38=x
x+2=38+2=40

largest number is 40
Divide 117 by three to get the middle name number, then you subtract one and add one to 1 of the three 39's to get your numbers as 38, 39, 40. And the largest number. Is 40. Hope this helped.

Simplify this expression: 4p + 9 + (–7p) + 2 = ?A. 11p + 11
B. 3p + 11
C. –3p + 11
D. 3p + 7

Answers

4p+9+(-7)+2

4p+9-7p+2

4p-7p+9+2

-3p+11
-------------------------------------
So, I guess -3p+11 is the answer.

Choice: C
Answer: -3p+11