Jake studied x hours for a big test. Julie studied half as long. Write an algebraic expression for long julie studied.

Milton makes a trail mix for his hiking group. He mixes 1 1/4 pound of peanuts, 14 ounces of raisins, 12 ounces of walnuts, and

Veronika [31]

Answer:

7 ounces of trail mix each hiker receive.

Step-by-step explanation:

Given:

Milton makes a trail mix for his hiking group. He mixes 1 1/4 pound of peanuts, 14 ounces of raisins, 12 ounces of walnuts, and 10 ounces of chocolate chips.

If Milton divides the trail mix equally among the 8 hikers in the group.

Now, to find the ounces of trail mix each hiker receive.

Pound of peanuts = $1\frac{1}{4}.$

Now, using conversion factor convert pound into ounces:

1 pounds = 16 ounces.

$\frac{5}{4}$ pounds = $\frac{5}{4} \times 16$ = $20\ ounces.$

Ounces of peanuts = 20.

Ounces of raisins = 14.

Ounces of walnuts = 12.

Ounces of chocolate chips = 10.

Now, we add all the ounces of peanuts, raisins, walnuts and chocolate chips to get the trail mix:

$20+14+12+10\\\\=56\ ounces.$

Total ounces of trail mix = 56.

Total number of hikers = 8.

As given, Milton divides the trail mix equally among the 8 hikers.

So, to get the trail mix each hiker receive we divide total number of hikers by total ounces of trail mix:

$56\div 8$

$=7\ ounces.$

Therefore, 7 ounces of trail mix each hiker receive.

8 0

3 years ago

6(2a + b) + b A. 12a + 12b B. 12a + 7b C. 8a + 8b D. 8a – 8b

Nesterboy [21]

Answer:

Step-by-step explanation:

6(2a + b ) +b

12a + 6b +b

12a + 7b

so answer B looks good

6 0

3 years ago

Read 2 more answers

The polygons below are similar. Find the scale factor of the SMALLER figure to the LARGER.

abruzzese [7]

Answer:

A. 5:6

Step-by-step explanation:

The scale factor of the smaller figure to the larger = the ratio of a side of the smaller figure to the corresponding side of the larger figure.

Thus, side length of 25 units of the smaller figure corresponds to the side length of 30 units.

Therefore:

Scale factor = 25:30

Simplify

Scale factor of the smaller figure to the larger = 5:6

6 0

3 years ago

If my radius is 10 feet, what is my diameter?

Anika [276]

Answer:

Your diameter would be 20.

Step-by-step explanation:

1. Two radius added together is the diameter (if you're talking about a circle.)

2. You add 10+10 because as you said your radius is 10.

3. It would be 20.

Hope this helped!

4 0

3 years ago

A company that manufactures small canoes has a fixed cost of $24,000. It costs $100 to prod canoes produced and sold.) a. Write

sweet-ann [11.9K]

Answer:

a. C(x) = 24,000 + 100x

b. R(x) = 200x

c. Break-even point is 240 canoes

Step-by-step explanation:

a. Cost function is C(x) = FC + pcost * x

C(x) = 24,000 + 100x

Where

FC=Fixed cost = 24,000

pcost=costs to prod canoes = $100

x=produce quantity

b.Revenue function

R(x) = Px * x

R(x) = 200x

Where

Px=Price

x=produce quantity

c. Break-even point is the amount of canoes where revenue are the same as cost. We cover the total cost with the sales.

So, FC + pcost * x=Px * x

24,000 + 100x=200x

Isolating x

24,000 =200x- 100x

100x=24000

x=24,000/100

x=240

3 0

3 years ago