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3 years ago

A father is eight times as old as his son . In 10 years , he will be three times as old as his son . The age of son is

Mathematics

1 answer:

vodka [1.7K]3 years ago

6 0

Answer:

The son is 4years old

Step-by-step explanation:

Let the son's age=x

the father's age=8x

IN 10YEARS,

Son's age=x+10

father's age=8x+10

Equate them

8x+10=3(x+10)

8x+10=3x+30

5x=20

x=4

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A.

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3 years ago

#9 and #10 Please show work

Tatiana [17]

Answer:

Part 9) The number of items on Emily's grocery list is 5 and the number of items on Bobby's grocery list is 13

Part 10) The height of the taller bookshelf is 4 feet and the height of the shorter bookshelf is 1 foot

Step-by-step explanation:

Part 9)

Let

x ----> number of items on Emily's grocery list

x ----> number of items on Bobby's grocery list

we know that

$y=2x+3$ ----> equation A

$x=y-8$ ----> equation B

Solve by substitution

Substitute equation A in equation B

$x=(2x+3)-8$

solve for x

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therefore

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Part 10)

Let

x ----> the height of the taller bookshelf in feet

y ----> the height of the shorter bookshelf in feet

we have

$x=5y-1$ ----> equation A

Remember that

$1\ ft=12\ in$

To convert inches to feet divide by 12

$60\ in=60/12=5\ ft$

$x+y=5$ ----> equation B

Solve the system by substitution

substitute equation A in equation B

$(5y-1)+y=5$

solve for y

$5y+y=5+1$

$6y=6$

$y=1\ ft$

Find the value of x

$x=5(1)-1=4\ ft$

therefore

The height of the taller bookshelf is 4 feet and the height of the shorter bookshelf is 1 foot

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3 years ago

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zaharov [31]

Answer:

RV = 49 units

Step-by-step explanation:

in parallelogram RSTU , the diagonals bisect each other, then

TV = RV , that is

3y - 17 = y + 27 ( subtract y from both sides )

2y - 17 = 27 ( add 17 to both sides )

2y = 44 ( divide both sides by 2 )

y = 22

Then

RV = y + 27 = 22 + 27 = 49 units

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2 years ago

The area of a rectangle is 99 square units. Its width measures 9 units. Find the length of its diagonal. Round to the nearest te

mariarad [96]

Answer:

14.21 units (14.2)

Step-by-step explanation:

Formula for area is W(L) or width multiplied by length.

The formula for finding the length of a rectangle's diagonal is :

d = $\sqrt{w^{2}+l^{2} }$

Now we solve for d.

d = $\sqrt{w^{2} + (\frac{A}{W})^{2}$

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≈ 14.2

Please mark branliest thanks!

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Answer:

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Step-by-step explanation:

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