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qwelly [4]
1 year ago
6

This is the problem I’m having trouble with. It’s the first time I’ve done linear equations in four variables and I got the answ

ers x= -86 y = 237 z = 106 and w= -35 these seem like really weird answers to me. Could you tell me if these are correct and if not explain the answer?

Mathematics
1 answer:
garik1379 [7]1 year ago
8 0

x+y-z+w = 10--------(1)

x+3y-4z+5w=26------(2)

x+4y-7z+7w = 37-------(3)

x+2y-3z+6w = 22--------(4)

Subtract equation (1) from (2)

x+3y-4z+5w - (x+y-z+w) = 26 - 10

2y + -3z - 4w = 16-----------------------------(5)

Subtract equation (1) from (3)

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Katie bought 2 one gallon bottles for a party. Her guest drank 5/4 gallons of juice. What is the fraction of juice leftover? Sho
frosja888 [35]

Answer:

3/4 gallons of juice

Step-by-step explanation:

Katie bought 2 one-gallon bottles for a party.

2 one-gallon bottles = 2-gallon bottles of juice

We are told that:

Her guest drank 5/4 gallons of juice.

The fraction of juice leftover is calculated as:

2 gallons of juice - 5/4 gallons of juice

2 - 5/4

Lowest Common Denominator = 4

2/1 - 5/4

= 8 - 5/4

= 3/4 gallons of juice

Therefore, the fraction of juice leftover is 3/4 gallons of juice

7 0
3 years ago
A catapult launches a boulder with an upward velocity of 120 ft/s. The height of the boulder, h, in feet after t seconds is give
Mila [183]
Why is understanding mitts important?( Select the best answer)

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3. It is important for cancer research.

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3 0
3 years ago
Read 2 more answers
A log splitter can split 6/5 cords of wood in 4/5 of an hour. Complete the unit rate by setting up a complex fraction and simpli
Digiron [165]

Answer:

1½ cords per hour

Step-by-step explanation:

A log splitter can split 6/5 cords of wood in 4/5 of an hour.

To find a unit rate, we divide the quantity of cords of wood by the time.

This gives us the complex fraction.

\frac{ \frac{6}{5} }{ \frac{4}{5} }

This is the same as

\frac{6}{5}  \div  \frac{4}{5}

To divide two fractions, we multiply by the reciprocal of the second fraction.

\frac{6}{5}   \times   \frac{5}{4}

\frac{3}{1}   \times   \frac{1}{2}

This simplifies to:

\frac{3}{2}  = 1 \frac{1}{2}

The unit rate is 1.5 cords per hour

3 0
3 years ago
Si el largo de un rectángulo mide el doble del ancho que es "a", ¿cuál es su área?
rosijanka [135]

Answer:

El área es 2 veces el cuadrado del ancho del rectángulo.

Step-by-step explanation:

El área de un rectángulo viene dado por:

A = a*l

En donde:

a: es el ancho

l: es el largo

Si el largo es el doble del ancho:

l = 2a

Entonces el área es:

A = a*l = a*(2a) = 2a^{2}

Por lo tanto, el área es 2 veces el cuadrado del ancho del rectángulo.

Espero que te sea de utilidad!  

6 0
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The sum of the ages of my 3 children is 45 years.
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I think A, but im not 100% sure
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