Grades 1 through 6 at Eastwood Elementary School raised $5,492 towards repairs for the gymnasium floor. How much did each grade raise if they each collected about the same amount of money? Choose the best estimate

Answer:

21

Step-by-step explanation:

Let the three consecutive integers be;

    x , x + 1 and x + 2:

The sum of squares of the two smaller numbers:

  The two smaller numbers are x and x+ 1

Sum of their squares:

           x² + (x+1)²;

        x² + x² + 2x + 1 = 2x² + 2x + 1

It is 45 more than the square of the larger number:

    Larger number = x + 2

        (x+2)² = x² + 4x + 4

 45 more;

        x² + 4x + 4 + 45  = x² + 4x + 49

Both are equal:

 2x² + 2x + 1 =  x² + 4x + 49  

  2x² - x² + 2x - 4x + 1 - 49 = 0

      x² - 2x - 48 = 0

      x² - 6x + 8x - 48 = 0

      x(x - 6) + 8(x - 6) = 0

      (x + 8)(x-6) = 0

      x + 8 = 0 or x - 6 = 0

      x  = -8 or x = 6

We choose x = 6 because it makes the solution true as a positive integer

  Sum of the three numbers:

     x + x + 1 + x + 2 = 6 + 6 + 1 + 6 + 2 = 21

Answer:

78.12

Step-by-step explanation:

Answer:

78.12

Step-by-step explanation:

Answer:

The answer is D (The last one)

Answer:

(d). c = 0.25d + 60

Step-by-step explanation:

$60.00 is a constant

$0.25 per Mb is a coefficient

(d). c = 0.25d + 60

Answer:

1.   487.5%

2.  43.45

Step-by-step explanation:

Remember the formula for a proportion: ((part)/(whole)) = ((percent)/(100))

1.

The part is given, 78, and the whole is given, 16.

Set up a porportion:

78/16 = percent/ 100

Simplify:

39/8 = percent /100

Cross products

39/8 = percent/100

8percent = 3900

Inverse operations

8percent = 3900

/8     /8

percent = 487.5

487.5%

2.

The percent is given, and the whole is given.

Set up a proportion:

part/55 = 79/100

Cross products

part/55 = 79/100

100part = 4345

Inverse operations

100part = 4345

/100    /100

part = 43.45

43.45

Answer:

$1,305

Step-by-step explanation:

14500x0.09=1,305

Answer:

the answer is a i believe

Step-by-step explanation:

The solution is Option A.

The total time it took to travel from the house to Gurnee Mills is given by the equation A = 2 hours

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total time to travel from the house to Gurnee Mills be A

Now , the equation will be

The time it took to travel to Gurnee Mills without waiting = 1 hour

The waiting time before travel = 1 hour

So , the total time to travel from the house to Gurnee Mills A = time it took to travel to Gurnee Mills without waiting + waiting time before travel

Substituting the values in the equation , we get

The total time to travel from the house to Gurnee Mills A = 1 + 1

On simplifying the equation , we get

The total time to travel from the house to Gurnee Mills A = 2 hours

Therefore , the value of A is 2 hours

Hence , the the total time is 2 hours

To learn more about equations click :

https://brainly.com/question/19297665

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Answer:

the second one

slope is negative go down one right 2

Answer:

y = 0.8x - 3

Step-by-step explanation:

See attached screenshot solution using Desmos

Answer:

HAHAHAAHAAHHAHAHA

Step-by-step explanation:

NBBBbahahahhahahahahahahahahaa

Answer:

Step-by-step explanation:

[tex]\dfrac{x^2-8x+12}{x^2-7x+10}\\\\x^2-7x+10\ne0\ \iff\ x=\frac{7\pm\sqrt{49-40}}{2}\ne0\ \iff\ x\ne5\ \wedge\ x\ne2\\\\\\\dfrac{x^2-8x+12}{x^2-7x+10}=\dfrac{x^2-2x-6x+12}{x^2-2x-5x+10}=\dfrac{x(x-2)-6(x-2)}{x(x-2)-5(x-2)}=\\\\\\ =\dfrac{(x-2)(x-6)}{(x-2)(x-5)}=\dfrac{x-6}{x-5}\\\\\\f(x)=x-6\\\\g(x)=x-5[/tex]

Answer:

(4,0)

Step-by-step explanation:

plz give brainliest!

Answer:

4,0

Step-by-step explanation:

Step-by-step explanation:

If energy not transformed or changes than nothing will happen light bulb electrical energy will not converted into light energy and heat energy. ... The energy is not transformed into another form, it simply moves. It has a tendency to move, unless it is trapped, until it is released.

Answer:

im guessing 12 because 12x12=114, and since the garden is a square, we length/with has to be the same number.

Step-by-step explanation:

Answer:

7x-117

Step-by-step explanation:

1. Distribute the 5 to the terms in parentheses.

5x-120+2x+3

2. Combine like terms.

7x-117

Answer:

linear increasing

Step-by-step explanation:

and b for the second one

Answer:

Yes

Step-by-step explanation:

Yes the answer is 6 x 2 - 36 ÷ 12 and it is correct. Although you could change this arithmetic expression by adding parenthesis to make it easier to read and know which operations come first, like so...

(6 x 2) - (36 ÷ 12)

This would make it easier to see that the 6x2 must be done first and then the 36/12 before doing the subtraction.

Answer:

The answer is 50.

Step-by-step explanation:

Answer: You didn't show us the graphs so we can't tell you.

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

its a graph

Answer:

No

Step-by-step explanation:

It isn't a positive linear association nor a negative linear association. If you were to connect those lines, it would not be a linear function of any kind of association.

Answer:

1

Step-by-step explanation:

Use the Order of BIMDAS

6/3(2)

6/6

= 1

Answer:

=4

Step-by-step explanation:

6/3(1+1)

calculate within parenthesis (1+1):2

1+1+2

6/3 ·2

multiply and divide (left to right) 6/3·2:4

6/3·2 =2·2

2·2=4

so the answer is 4 hope this helped and pls brainliest

Answer:

Sylvia needs to work at least 19 hours.

Step-by-step explanation:

Inequality: 10x + 120 ≥ 310

Subtract 120 from both sides;

10x ≥ 190

Divide both sides by 10;

x ≥ 19

Answer:

x = 5.5

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Answer:

(x+2)(3x+1) are the factors

Answer:

(3x+1)(x+2)

Step-by-step explanation:

I don't know how to explain it but that's what I got.

I hope it's right!

Answer:

(x + y)² = 35

Step-by-step explanation:

The expansion of

(x + y)² = x² + 2xy + y²

           = x² + y² + 2xy ← substitute given values

          = 25 + 2(5)

           = 25 + 10

           = 35

Answer:

35

Step-by-step explanation:

[tex]xy = 5 \\ \\ {x}^{2} + {y}^{2} = 25 \\ \\ \because \: {(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy\\ \\ \therefore {(x + y)}^{2} = 25 + 2 \times 5 \\ \\ \therefore {(x + y)}^{2} = 25 + 10 \\ \\ \huge \red{ \boxed{\therefore {(x + y)}^{2} = 35}}[/tex]

Answer:

D.)

Step-by-step explanation:

multiply every side by 5 since it's a square each side is equal!