Maria cut a 9 foot board into two pieces. The long piece is twice as long as the short one. How long is each piece?

Mathematics

1 answer:

erica [24]2 years ago

5 0

Answer:

The short piece is 3 feet long.

The long piece is 6 feet long.

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Solve the system of equations. 10x+y=−20 y=2x2−4x−16 ( , ) and ( , )

Sladkaya [172]

I will go about solving this using the elimination method.

First, convert the equations.

10x + y = -20
4x + y = -12

Second, find the easiest variable to get rid of and get rid of it! (In this case, y) We will subtract to get rid of y.

6x = -8

Third, you want to solve the equation.

6x = -8 (divide by 6)
x = $-1 \frac{1}{3}$

Fourth, solve for y by inserting the answer for x into one of the equations.

10( $-1 \frac{1}{3}$ ) + y = -20
$-13 \frac{1}{3}$ + y = -20 (subtract $-13 \frac{1}{3}$ )
y = $-6 \frac{2}{3}$

The solution for this system of equations is ( $-1 \frac{1}{3}$ , $-6 \frac{2}{3}$ ).

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2 years ago

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6/5 ÷ ____ = 6 A. 1/5 B. 30 C. 1/30 D. 5

murzikaleks [220]

Answer:

A. $\displaystyle \frac{1}{5}$

Step-by-step explanation:

$\displaystyle \frac{6}{5} \div \frac{1}{5} = 6 \\ \\ OR \\ \\ \frac{6}{5} \div 6 = \frac{1}{5}$

I am joyous to assist you anytime.

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2 years ago

A tram travels at 10 km/hr for 2 hours and then at 13 km/hr for 1 hour. Find its average speed

s344n2d4d5 [400]

33km total / 3 hours total = 11 km/hr average

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2 years ago

List all the pairs of integers with a product of 36. then find the pair whose sum is 20

RoseWind [281]

This is an excellent practice for the solution of quadratic equations.

1*36=36 => (1,36)
2*18=36 => (2,18)
3*12=36 => (3,12)
4*9=36 => (4,9)
6*6=36 => (6,6)
9*4=36 => (9,4)
12*3=36 => (12,3)
18*2=36 => (18,2)
36*1=36 => (36,1)

We can see that the sum decreases until the two factors are close (or equal) and then increases again.

The pair of integers with a sum of 20 is therefore (2,18) or (18,2).

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3 years ago

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Vince weighs 160 pounds, and his friend Nadir weighs 140 pounds. Nadir calculated that his weight on another planet would be abo

Oksanka [162]

Answer:76

Step-by-step explanation:

Vince=160

Nadir=140, which =56 on another planet. 140-56=84, so there's an 84lbs weight difference.

160-84=76 pick c

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