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2 years ago

2 2. Evaluate (a + y)+ 2y if a = 5 and y = -3. F 58 G -2 H 70 J 10

Mathematics

1 answer:

NARA [144]2 years ago

3 0

<h3>Answer: G) -2</h3>

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Explanation:

I'm assuming you meant to say (a+y)^2 + 2y

Replace each copy of 'a' with 5. Replace each copy of 'y' with -3. Use PEMDAS to simplify.

(a+y)^2 + 2y

(5 + (-3))^2 + 2(-3)

(5-3)^2 + 2(-3)

(2)^2 + 2(-3)

4 + 2(-3)

4 - 6

-2

So (a+y)^2 + 2y = -2 when a = 5 and y = -3.

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Answer:

2. 3.913 kg (3 dp)

3. light cream

4. 240 CoffeeStops

5. 7 CoffeeStops per square mile

6. 2,861 cups of coffee each day

Step-by-step explanation:

Given:

Skim milk density at 20 °C = 1.033 kg/l
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<u>Question 2</u>

$\begin{aligned}\textsf{1 gallon} & = \sf \dfrac{1}{0.264}\:liters\\\\\implies \textsf{Mass (1 gallon of skim milk)} & = \sf Density \times Volume\\& = \sf 1.033\:kg/l \times \dfrac{1}{0.264}\:l\\& = \sf 3.913\:kg\:(3\:dp)\end{aligned}$

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<u>Question 3</u>

Given:

Volume of liquid = 9 liters
Mass of liquid = 9.108 kg

$\begin{aligned}\implies \sf Density & = \sf \dfrac{Mass}{Volume}\\\\& = \sf \dfrac{9.108\:kg}{9\:l}\\\\& = \sf 1.012\:kg/l \end{alilgned}$

Therefore, the container holds light cream.

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<u>Question 4</u>

Given:

15 CoffeeStops per 100,000 people
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$\begin{aligned}\implies \textsf{Number of Coffeestops} & = \sf \dfrac{population}{density}\\\\& = \sf \dfrac{1,602,000}{100,000/15}\\\\& = \sf \dfrac{1,602,000}{100,000} \times 15\\\\& = \sf 240.3\end{aligned}$

Therefore, there are 240 CoffeeStops.

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<u>Question 5</u>

Given

Manhattan ≈ 34 square miles

$\begin{aligned}\implies \textsf{CoffeeStops density} & = \sf \dfrac{number\:of\:stores}{land\:area}\\\\& = \sf \dfrac{240}{34}\\\\& \approx \sf 7 \: \textsf{CoffeeStops per square mile}\end{aligned}$

Therefore, the density of CoffeeStops is 7 per square mile.

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<u>Question 6</u>

Given:

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Answer:

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Step-by-step explanation:

Jada is making lemonade for a get together with her friends. She expects a total of 5 to 8 people to be there (including herself).?

She plans to prepare 2 cups of lemonade for each person. The lemonade recipe calls for 4 scoops of lemonade powder for each quart of water. Each quart is equivalent to 4 cups. Let n represent the number of people at the get together, c the number of cups of water, S the number of scoops of lemonade powder. Select all the mathematical statements that repsent the quantities and constraints in the situation.

A. 5<n<8

B. 5≤ n≤8

C. c=2n

d. S = c

e. 10<c<16

f. 10≤S≤16

Let

n = number of people at the get together,

c = number of cups of water,

S = number of scoops of lemonade powder.

She expects a total of 5 to 8 people to be there (including herself).

B. 5 ≤ n ≤ 8

She plans to prepare 2 cups of lemonade for each person.

With minimum of 5 people and maximum of 8 people

2 × 5 = 10

2 × 8 = 16

f. 10≤S≤16

The number of cups of water is twice the number of people at the party

C. c=2n

Number of scoops of lemonade powder is equivalent to number of cups of water

d. S = c

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2 years ago