What is the slope of the line?help pls

Evil bunny's carrot soup calls for 5/8 cups of chopped carrots per serving. If evil bunny has chopped 7 1/2 cups of chopped carr

Oxana [17]

Answer:

12 servings

Step-by-step explanation:

Given:

Evil bunny's carrot soup calls for 5/8 cups of chopped carrots per serving.

If evil bunny has chopped 7 1/2 cups of chopped carrots.

Question asked:

How many servings of carrot soup can he make?

Solution:

<u><em>By unitary method:</em></u>

$\frac{5}{8}$ cups of chopped carrots used for = 1 serving of carrot soup

1 cup of chopped carrots used for = $\frac{1}{\frac{5}{8} }$ = $1\div\frac{5}{8} =1\times\frac{8}{5} =\frac{8}{5}$ servings

$7\frac{1}{2}$ cups of chopped carrots used for = $7\frac{1}{2} \times\frac{8}{5} =\frac{7\times2+1}{2} \times\frac{8}{5} =\frac{15}{2} \times\frac{8}{5}=\frac{120}{10} =12$

Thus, 12 servings of carrot soup could be made.

3 0

3 years ago

El solar de María tiene forma rectangular los lados miden 36 cm y 40 cm cuántos metros cuadrados tiene el terreno? cuál es el pe

Taya2010 [7]

Answer:

Area of rectangular land = 1,440 cm².

Perimeter of rectangular land = 152 cm

Step-by-step explanation:

Given:

Length of rectangular land = 36 cm

Width of rectangular land = 40 cm

Find:

Area of rectangular land

Perimeter of rectangular land

Computation:

Area of rectangle = length x width

Area of rectangular land = 36 x 40

Area of rectangular land = 1,440 cm²

Perimeter of rectangle = 2[l + b]

Perimeter of rectangular land = 2[36 + 40]

Perimeter of rectangular land = 2[76]

Perimeter of rectangular land = 152 cm

4 0

3 years ago

Layla emptied out her change jar to buy a new binder for school. She found 147 coins consisting of dimes and nickels that totale

den301095 [7]

Answer:

d + n = 147

0.10d + 0.05n = 11.65

d = 86, n = 61

Step-by-step explanation:

Let

Number of dimes = d

Number of nickels = n

Total coins = 147

Total value = $11.65

d + n = 147 (1)

0.10d + 0.05n = 11.65 (2)

From (1)

d = 147 - n

Substitute d = 147 - n into

0.10d + 0.05n = 11.65

0.10(147 - n) + 0.05n = 11.65

14.7 - 0.10n + 0.05n = 11.65

- 0.10n + 0.05n = 11.65 - 14.7

-0.05n = -3.05

n = -3.05 / -0.05

= 61

n = 61

Substitute n = 61 into

d + n = 147

d + 61 = 147

d = 147 - 61

d = 86

6 0

3 years ago

An archaeologist is categorizing the artifacts he has discovered. Two-thirds of the artifacts are shards of pottery. One-eighth

Reika [66]

Answer:

Personal items=15

Step-by-step explanation:

We are given:

Total number of artifacts = 72.

We are told that 2/3 of total artifacts are shards of pottery.

$\text{Shards of pottery}=72*\frac{2}{3} =24*2=48$

We are also told that 1/8 of total artifacts are tools.

$\text{Tools}=72*\frac{1}{8}=9$

Now we will find out number of personal items by subtracting combined number of shards of pottery and tools from total number of artifacts.

$\text{ Personal items}=72-(48+9)$

$\text{ Personal items}=72-57=15$

Therefore, there are 15 personal items.

8 0

4 years ago

Mark has $100,000 to invest. His financial consultant advises him to diversify his investment in three types of bonds: short-ter

galina1969 [7]

Answer:

Short-Term investment: 5000$

Intermediate-Term investment: 65000$

Long-Term investment: 30000$

Step-by-step explanation:

To construct our first equation lets define sort-term bond investment as x, long-term investment as y.

So the equation is:

$x*0,04+(100000-x-y)*0,05+y*0,06=5250$

From the equation it is found that:

$y=25000+x$

Instead of y, if we put 25000+x the equation will be as following:

$x*0,04+75000*0,05+(25000+x)*0,06=5250$

From the equation it is found that:

$x=5000$

Short-Term investment is 5000$

$x+25000=y$

Long-Term investment is 30000$

Rest of the money is Intermediate-Term investment 65000$

5 0

3 years ago