3 years ago

Please help. I’m in a mastery test and keep getting the same one incorrect. This is my last chance.

Mathematics

1 answer:

iren [92.7K]3 years ago

4 0

QR=5.25 PR=5 PQ=6.25

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A recipe for a strawberry smoothie calls for three eights cup of strawberries. Pat wants to make two servings of the strawberry

GrogVix [38]

If one serving takes 3/8 of a cup and she wants two servings, just multiply 3/8 by 2.

2 * (3/8) = 6/8 or 3/4 of a cup.

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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.

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3 years ago

one leg of a right triangle is 1 foot longer than the other leg. the length of the hypotenuse is 5 feet. find the length of the

pshichka [43]

The length of the 2 legs will be 5

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3 years ago

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uysha [10]

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3 years ago

£6000 is divided between Adam, Ben and<br> Chris in the ratio 1:3:4. How much does Ben receive?

Gala2k [10]

Answer:

Chris gets £3000

Step-by-step explanation:

A : B : C

1 : 3 : 4 = 8 (add all the parts together)

£6000 ÷ 8 = 750

so the multiplier is x 750

1 : 3 : 4

↩ x 750

750 : 2250 : 3000

Chris gets £3000

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3 years ago