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2 years ago

What is the solution to the following equation? 5 + 3 (y - 4) = 4y +10

Mathematics

2 answers:

Umnica [9.8K]2 years ago

8 0

Answer:

5 +3(y-4) = 4y +10

5 + 3y -12= 4y +10

-7 +3y = 4y + 10

3y - 4y = 10 + 7

-y = 17

y= -17

nignag [31]2 years ago

4 0

The answer for y is 17

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Which expression will you generate if you combine the like terms in 5x + 6x + y + y + 3y + 4 + 6 + 2?

Anika [276]

Answer:

5x and 6x both have the letter x. Let's combine them! 5x+6x = 11x

y, y, and 3y all have the letter y. You can imagine y to be 1y, they're the same.

1y + 1y + 3y = 5y

4, 6, and 2 don't have any letters. 4 + 6 + 2 = 12

Now you have to put all the final terms together to get: 11x + 5y +12

Step-by-step explanation:

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3 years ago

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Can eat 10 cookies every 4 hours. How many hours would it take for her to eat 67 cookies?

trapecia [35]

67 ÷ 10 x 4 = 26.8 hours for her to eat 67 cookies

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3 years ago

The perimeter of a rectangle is 4040 yards. what are the dimensions of the rectangle with maximum area?

Ivanshal [37]

Let x be the length and y be the width2x + 2y = 40x + y = 20change that into y = mx + b formy= 20 – x
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3 years ago

Find the length of the shorter leg of a right triangle with the longer leg is 9 feet more than the shorter leg the hypotenuse is

Jobisdone [24]

Answer:

Length of Shorter leg = 27 feet

Length of Longer leg = 36 feet

Length of Hypotenuse = 45 feet

Step-by-step explanation:

Given:

Let,

Length of Shorter leg = x,

According to the given condition we have

∴ Length of Longer leg = x + 9 feet

∴ Length of Hypotenuse = 2x - 9 feet

To Find:

Length of Shorter leg = ?

Solution:

Now In Right Angle Triangle, By Pythagoras theorem we have

$(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}$

substituting the given values we get

$(2x-9)^{2} = (x)^{2}+(x+9)^{2}\\$

By using Identity (A ± B)² = A² ± 2AB +B² we get

$4x^{2} -36x+81=x^{2} +(x^{2} +18x+81)\\\\4x^{2} -2x^{2} -36x-18x=81-81\\\\2x^{2} -54x=0\\2x(x-27)=0\\2x=0 or x-27=0\\\therefore x\ cannot\ be \ zero\\\therefore x = 27 \feet$

Substituting x=27 we get

∴ Length of Longer leg = x + 9 =27 +9 = 36 feet

∴ Length of Hypotenuse = 2x - 9 = 2×27 -9 = 45 feet

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3 years ago

For which equation is m = 12 the solution? a. 4m=40 b. m+20=42. c. 4m=48. d. m-4=9

Gelneren [198K]

To solve this question, we just need to insert 12 into the m position of each question and see if the equation holds true.

a. 4m = 40

4(12) = 40

48 = 40

48 obviously does not equal 40, so it is not choice A.

b. m + 20 = 42

12 + 20 = 42

32 = 42

Again, 32 isn't the same as 42, so not choice B either.

c. 4m = 48

4(12) = 48

48 = 48

It looks like this one is true, but let's solve D also just to make sure.

d. m - 4 = 9

12 - 4 = 9

8 = 9

This is false, since 8 does not equal 9.

Therefore, choice C (4m = 48) is the correct answer.
Hope that helped! =)

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3 years ago

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