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2 years ago

Find the y-intercept of the following equation. Simplify your answer. y = –10x − 8

Mathematics

1 answer:

Andrew [12]2 years ago

3 0

Answer: -8

Step-by-step explanation: because the formula is mx+b=y and the -8 is the b

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8. From the top of a mountain to the floor of the valley below is 4,392 feet. If the valley is 93 feet below sea level, what is

podryga [215]

Answer:

The answer is 4,299

Step-by-step explanation:

The reason why is because elevation goes off of the ocean so if the valley 93 feet below sea level then all you do is subtract 93 from $4,392.

3 0

3 years ago

Express the following rate as a unit rate. If necessary, round your answer to the nearest tenth. 63 quarts for 56 seconds

gavmur [86]

Answer:

1.1 qt/s

Step-by-step explanation:

To find quarts per second, divide quarts by seconds:

(63 qt)/(56 s) = 9/8 qt/s ≈ 1.1 qt/s

8 0

2 years ago

There is $2,134 in a savings account. If next year the money is two times as much, what is the total amount in the savings accou

Dafna1 [17]

Hello!

To find our answer, we just multiply by 2.

2,134(2)=4,268

Therefore, there would be $4,268.

I hope this helps!

6 0

2 years ago

Read 2 more answers

An ice cream store has the pricing shown below. You want to determine the best value. The height of the cone is 4.5 in and the d

nignag [31]

Solution:

Step 1:

We will calculate the volume of ice cream in the single scoop

The volume of the ice cream will be

$\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{2}{3}\pi r^3 \\ r=\frac{2in}{2}=1in(cone) \\ h=4.5in \\ r=\frac{3in}{2}=1.5in(radius\text{ of the hemisphere\rparen} \end{gathered}$

By substituting the values, we will have

$\begin{gathered} V=\frac{1}{3}\pi r^{2}h+\frac{2}{3}\pi r^{3} \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5+\frac{2}{3}\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{99}{14} \\ V=\frac{165}{14} \\ V=11.79in^3 \end{gathered}$

Step 2:

We will use the formula below to calculate the volume of the two scoops of ic cream

$\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{4}{3}\pi r^3 \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5in+\frac{4}{3}\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{99}{7} \\ V=\frac{132}{7} \\ V=18.86in^3 \end{gathered}$

Step 3:

We will use the formula below to calculate the volume of the three scoops of ic cream

$\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{6}{3}\pi r^3 \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5+2\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{297}{14} \\ V=\frac{363}{14} \\ V=25.93in^3 \end{gathered}$

For the first ice cream with one scoop

$\begin{gathered} 1in^3=\frac{3.50}{11.79} \\ 1in^3=\text{ \$}0.30 \end{gathered}$

For the second ice cream with two scoops

$\begin{gathered} 1in^3=\frac{4.50}{18.86} \\ 1in^3=\text{ \$}0.24 \end{gathered}$

For the third ice cream with three scoops

$\begin{gathered} 1in^3=\frac{5.50}{25.93} \\ 1in^3=\text{ \$}0.21 \end{gathered}$

Hence,

The final answer is

The triple sold at $5.50 has the best value because it has the lowest price of $0.21 per cubic inch of the ice cream

3 0

4 months ago

Which triangles are congruent? How do you know?

choli [55]

Use the side lengths! C and D have lengths of 3 and heights of 4.
Also use how far away they are from the axis.

Both C and D are 2 away from each axis on the end point.
This also goes with A.
However, B does not seem to be congruent in the sense of (coordinates)
It is the same length and height.

3 0

2 years ago

Read 2 more answers