3 years ago

PLEASE HELP, I WILL MARK BRAINLIEST!

Mathematics

1 answer:

Rainbow [258]3 years ago

4 0

Answer:

Step-by-step explanation:

There are 5 different segments.

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[y = 4x] [x + y = 5]

alexandr1967 [171]

X=1, y=4

Substitute 4x in for y in the second equation and you get 5x=5. Divide out 5 and you get x=1. Then, you can plug 1 in for x into either equation and solve for y.

5 0

3 years ago

A robotic machine fills containers with an acid solution at the rate of 50 + 5 t milliliters (mL) per second, where t is in seco

Alika [10]

Answer:

12,000

Step-by-step explanation:

The machine fills the containers at a rate of 50+5t milliliters (mL) per second.

Therefore, the rate of change of the number of containers, N is:

$\dfrac{dN}{dt}=50+5t, 0\leq t\leq 60$

$dN=(50+5t)dt\\$Taking integrals of both sides\\\int dN=\int (50+5t)dt\\N(t)=50t+\frac{5t^2}{2}+C $(C a constant of integration)\\\\When t=0, , No containers are filled, therefore:$ N(t)=0\\0=50(0)+\frac{5(0)^2}{2}+C\\C=0\\$Therefore, N(t)=50t+2.5t^2$

When t=60 seconds

$N(60)=50(60)+2.5(60)^2\\N(60)=12000$ mL$

Therefore, 12,000 milliliters of acid solution are put into a container in 60 seconds.

7 0

3 years ago

A certain television is advertised as a 58-inch TV (the diagonal length). If the width of the TV is 42 inches, how many inches t

ra1l [238]

Your answer will be 16

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3 years ago

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the ratio of the number of boys to the number of girls in a school is 4:5 there are 95 girls in the school work out the total nu

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The answer to this question is 167

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3 years ago

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Out of a salary of $4500. I kept 1/3 as saving. Out of the remaining money. I spend 50% on food and 20% on house rent. How much

Step2247 [10]

Well 1/3 for savings means that you save 1/3*4500 or 1500 dollars.
You then have $3000 left. Of this if you spend 50% on food, you spend 0.5*3000 or 1500 dollars on food.

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3 years ago