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3 years ago

The sum of two consecutive even integers is 106. what are the integers

1 answer:

7 0

Let the consecutive even integers be x and (x+2).

x + (x + 2) = 106

2x + 2 = 106

2x = 104

x = 52

Thus the two integers are 52 and 54.

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QveST [7]

which- question- do- i- answer- ? ? ?

4 0

3 years ago

Forty is 25% of what number?

muminat

25 is equal to 1/4
to find 1/4 of a number, you divide the number by 4.
the equation here is:
x ÷ 4 = 40
to solve, do 40 x 4 = 160
x = 160

40 is 25% of 160

3 0

3 years ago

The area of two similar triangles are 50dm^2 and 32dm^2. The sum of their perimeters is 117dm. What us the perimeters of each of

Kay [80]

Answer:

Perimeter of one triangle is 65 dm

Perimeter of other triangle is 52 dm

Step-by-step explanation:

Please remember the concept

If sides are in the ratio of a:b

Then the area in the ratio of $a^{2} :b^{2}$

It is given sum of their perimeter is 117.

Let the small triangle has perimeter as x.

So, perimeter of big triangle is 117-x.

So, we can set up equation as

$\frac{50}{32} =\frac{x^{2} }{(117-x)^{2} }$

Cross multiply

50(117-x)^2 =32x^2

Expand the left side

50 $(13689 -234x+x^{2} )$ = $32x^{2}$

Distribute the left side

684450-11700x+ $50x^{2}$ = $32x^{2}$

Subtract both sides $32x^{2}$ and rewrite it $18x^{2} -11700x+684450=0$

Solve this quadratic for x.

Divide both sides of the equation by 18 to simplify.

$x^{2}$ -650 x+38025=0

Now, if possible let's factor

Find two integers whose multiplication is 38025 but adds to -650.

-65 and -585 works.

So, we can rewrite it as

(x -65)(x-585) =0

Solve them using zero product property

x=65, x=585

So, x=65 works here.

So, perimeter of one triangle is 65 dm

Perimeter of other triangle is 117-65= 52 dm

5 0

3 years ago

Khaled bought 32 cups of juice to distribute to his students. He decided to drink 2 cups himself and pour each of his students 1

Temka [501]

Answer:

24 students

Step-by-step explanation:

So we started with 32 cups of juice.

Kahled drunk 2 cups so (32-2)=30 cups is left.

If x represents the number of students he receive juice and each student gets the same amount of juice which is 1.25 cups, then we have the equation

1.25x=30 to solve for x.

Divide both sides by 1.25:

x=30/1.25

x=24

24 students receive juice

6 0

3 years ago

Jill Grewe out her hair for several years to donate to charity when she was finally ready to have it cut she asked her mom to ta

pashok25 [27]

The answer is 12 13/24

6 0

3 years ago

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