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Alexandra [31]
4 years ago
13

If four times the brother's age is subtracted from three times the sister's age, the difference is 8. Give an equation that repr

esents this statement using b as the age of the brother and s as the age of the sister.
Mathematics
1 answer:
hjlf4 years ago
7 0

Answer:

3s-4b=8

Step-by-step explanation:

Let b is the age of the brother and s as the age of the sister.

It is given that if four times the brother's age is subtracted from three times the sister's age, the difference is 8.

We need to find an equation for the given statement.

Four times the brother's age = 4×b = 4b

Three times the sister's age = 3×s = 3s

Four times the brother's age is subtracted from three times the sister's age.

3s-4b

The difference is 8.

3s-4b=8

Therefore, the required equation is 3s-4b=8.

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Luba_88 [7]
D. n+3

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4 0
3 years ago
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What total length of ribbon is needed to Line the two long sides of the hat?
frozen [14]

Answer:

Total length of ribbon to line the long sides will be 22 in

Step-by-step explanation:

In the given figure of kite if we draw a line "h" vertically will form two right angle triangles.

Then by applying Pythagoras theorem in both the triangles.

h²= (3x + 5)² + (2x + 1)² ------(1)

h²= (5x + 1)² + 5² ------(2)

By equating both the equations

(3x + 5)² + (2x + 1)² = (5x + 1)² + 25

9x² + 25 + 30x + 4x² + 4x + 1 = 25x² + 10x + 1 + 25

13x² + 34x + 26 = 25x² + 10x + 26

13x² - 25x² + 34x - 10x + 26 - 26 = 0

- 12x² + 24x = 0

12x² - 24x = 0

x² - 2x = 0

x(x - 2) = 0

x = 2

Now we will put x = 2 in the measure of sides of the kite.

Side 1 = (3x + 5)

          = 3×2 + 5

          = 11

Side 2 = (5x + 1)

          = 5×2 + 1

          = 11

Side 3 = (2x + 1)

          = 2×2 + 1

          = 5

Therefore, Total length of ribbon to line the long sides will be = 11 + 11

= 22 in.

6 0
3 years ago
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If ΔABC is dilated by a scale factor of 2 with a dilation center of A, what will be the coordinates of point B'?
olasank [31]
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8 0
3 years ago
What is the value of y in the equation 2(3y + 4 + 2) = 196 − 16?<br><br> 26<br> 28<br> 30<br> 32
koban [17]

Answer:

28

Step-by-step explanation:

2(3y + 4 + 2) = 196 − 16

6y + 8 + 4 = 196 - 16

6y + 12 = 196 - 16

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6y = 168

y = 28

Best of Luck!

4 0
3 years ago
What is the slope-intercept form equation of the line that passes through (3, 4) and (5, 16)?
arlik [135]
I hope this helps you



slope=y2-y1/x2-x1


y1=4 y2=16


x1=3 x2=5


slope=16-4/5-3


slope=12/2


slope =6
4 0
3 years ago
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