Which shows the function f(2)= 2.4 after a horizontal translation 2 units to the left?

It cost your office $620 to mail 500 flyers. How much did it cost to mail each flyer?

KatRina [158]

It cost a $1.24 to mail each flyer

8 0

3 years ago

Water flows at a rate of 8000 cubic inches per minute into a cylindrical tank. The tank has a diameter of 128 inches and a heigh

beks73 [17]

Answer:

The height of the water = 6.2 in. to the nearest tenth

Step-by-step explanation:

∵ The rate of flows of water into the tank = 8000 in.³/min.

∴ The volume of the water in the tank after 10 min. = 8000 × 10 = 80000 in.³

∵ The water take the shape of the tank

∴ The height of the water = volume of water ÷ Area of the base of the tank

∵ The tank is cylinder with diameter 128 in. and height 72 in.

∴ The area of the base of the tank = π(128/2)²

∴ The height of the water = $\frac{80000}{\pi(64)^{2}}=6.2169899$

∴ The height of the water = 6.2 in. to the nearest tenth

5 0

3 years ago

Question

Mademuasel [1]

Answer:

<u>The cost to rent a rug cleaner for 6 days is $ 58</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Cost to rent a rug cleaner for d days = 5.50d + 25

2. Find the cost to rent the cleaner for 6 days.

Cost to rent a rug cleaner for 6 days = 5.50 * 6 + 25

Cost to rent a rug cleaner for 6 days = 33 + 25

Cost to rent a rug cleaner for 6 days = $ 58

<u>The cost to rent a rug cleaner for 6 days is $ 58</u>

6 0

3 years ago

Solve the following absolute value equations. Show the solution set and check your answers. |0.3-3/5k|-0.4=1.2

9966 [12]

Answer:

**The equation is not clear, so I have provided both options**

<h3><u>Option 1</u></h3>

$\left|0.3-\dfrac{3}{5}k\right|-0.4=1.2$

$\implies \left|0.3-\dfrac{3}{5}k\right|=1.6$

<u>Solution 1</u>

$\implies 0.3-\dfrac{3}{5}k=1.6$

$\implies -\dfrac{3}{5}k=1.3$

$\implies k=-\dfrac{13}{6}$

<u>Solution 2</u>

$\implies -(0.3-\dfrac{3}{5}k)=1.6$

$\implies -0.3+\dfrac{3}{5}k=1.6$

$\implies \dfrac{3}{5}k=1.9$

$\implies k=\dfrac{19}{6}$

<h3><u>Option 2</u></h3>

$\left|0.3-\dfrac{3}{5k}\right|-0.4=1.2$

$\implies \left|0.3-\dfrac{3}{5k}\right|=1.6$

<u>Solution 1</u>

$\implies 0.3-\dfrac{3}{5k}=1.6$

$\implies -\dfrac{3}{5k}=1.3$

$\implies -3=6.5k$

$\implies k=-\dfrac{6}{13}$

<u>Solution 2</u>

$\implies -(0.3-\dfrac{3}{5k})=1.6$

$\implies -0.3+\dfrac{3}{5k}=1.6$

$\implies \dfrac{3}{5k}=1.9$

$\implies 3=9.5k$

$\implies k=\dfrac{6}{19}$

6 0

2 years ago

Work backward to find the value of the variable in the equation below d-4=23

AnnyKZ [126]

Answer:

27

Step-by-step explanation:

The equation is a onestep equation, so in order to find the variable, follow these steps:

d - 4 = 23

In order to isolate the variable or get the variable by itself, you need to get rid of the constants around it or the numbers without a variable. In order to do that for this equation, you'll need to do the inverse of subtracting 4, which would be adding four to both sides.

Adding 4 to positive 23 will give you the answer of 27;

d = 27

Therefore, the variable d equals 27

Hope this helps!

8 0

3 years ago