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2 years ago

Write the system of equations, then solve. SHOW ALL WORK!! please HELP! QUICK

Mathematics

1 answer:

uysha [10]2 years ago

5 0

Answer:

3 30 page printers, 10 70 page printers

Step-by-step explanation:

x + y = 13

40x+70y = 820

Solving for y in first equation gives: y = 13 - x

Plug into second equation: 40x + 70(13 - x) = 820

40x + 910 - 70x = 820

-30 x = -90

x = 3

Plug into original equation: 3 + y = 13

y must = 10.

So, the company owns 3 thirty page presses, and 10 70 page presses,

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Let x = 6. What is the value of the expression 5x to the 2nd power +x−7 ?

Sladkaya [172]

Answer:

149

Step-by-step explanation:

5 to the second power is 25, because you do 5x5. Then you multiply 25 by x, which is 6, and get 150. Then you add 6 to 150, which is 156, and subtract seven. Also the answer is 149.

6 0

3 years ago

Read 2 more answers

Oliver sewed a quilt 3 2/3 feet long and 2 1/4 feet wide. what is the area of her quilt?

Hunter-Best [27]

Answer:

8.25 feet

Step-by-step explanation:

3 2/3 times 2 1/4 equals 8.25

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3 years ago

Juan has 2 liters of juice he drinks 0.21 each day for how many days will the juice last

inna [77]

You can do a quick division to figure this out:

2 L / (0.21 L/day) = 9.5 days

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3 years ago

Mr. Ratchett, an elderly American, was found murdered in his train compartment on the Orient Express at 7 AM. When his body was

nasty-shy [4]

Answer: Mr. Ratchett died approximately at 2AM.

Step-by-step explanation: Newton's Law of Cooling shows the cooling rate between a body and the environment, by stating that the rate is proportional to the difference in temperatures between them.

Mathematically, it is represented as:

$\frac{dQ}{dt}=\alpha.A.(T_{s}-T)$

This differential equation solved, gives the solution:

$T(t)=T_{s}+(T_{0}-T_{s})e^{-kt}$

where

$T_{s}$ is temperature of the environment

$T_{0}$ is the initial temperature of the body

k is a parameter dependent of heat transfer coefficient, heat capacity and area of the body

t is time required to change the temperature

For the murder on the Orient Express, first determine parameter k.

In 1 hour, Mr. Ratchett's body decrease 1°:

$27=22+(28-22)e^{-1k}$

$5=6e^{-k}$

$e^{-k}=\frac{5}{6}$

$ln(e^{-k})=ln(0.834)$

k = 0.1823

Using the parameter, find estimate time:

$28=22+(37-22)e^{-0.1823t}$

$6=15e^{-0.1823t}$

$ln(e^{-0.1823t})=ln(0.4)$

0.1823t = 0.9163

$t=\frac{0.9163}{0.1823}$

t ≈ 5 hours

The body was found at 7AM. So, it took approximately 5 hours to cool down to 28° at that time. Therefore, Mr. Ratchett died at 2AM.

5 0

3 years ago

Two quantities are related, as shown in the table below:

julsineya [31]

(2,3)(4,4)
slope(m) = (4-3) / (4-2) = 1/2

y = mx + b
slope(m) = 1/2
(4,4)...x = 4 and y = 4
now we sub
4 = 1/2(4) + b
4 = 2 + b
4 - 2 = b
2 = b

equation is : y = 1/2x + 2

8 0

4 years ago