I need help please!!!

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

If you had 1 billion dollars all in $100 dollar bills, how many times could they

RUDIKE [14]

Answer: 1.94 times.

Step-by-step explanation:

Lenght of $100 dollars = 6.14 inches

Lenght of North Carolina = 500 miles long.

Now, in 1 billon = 1,000,000,000

If we divide it by the value of each bill, we will found the number of bills, we have:

N = 1,000,000,000/100 = 10,000,000 bills.

Knowing that each bill is 6.14 inches long, the length of the N bills together is:

6.14in*10,000,000 = 61,400,000 in

Now we need to write this in miles; 63,360 inches is one mile.

Then 61,400,000 in = (61,400,000/63,360) = 969.1 miles.

Now we can find that:

969.1mi/500 mi = 1.94

This means that with 1 billion dollars all in $100 dollar bills we can stretch them 1.94 times along the length of North Carolina.

6 0

3 years ago

Simplify completely the quantity 3 times x to the 4th power plus 5 times x to the 2nd power plus 2 times x all over x.

Elanso [62]

Answer:

(A) $3x^3+5x+2$

Step-by-step explanation:

To Simplify: The quantity 3 times x to the 4th power plus 5 times x to the 2nd power plus 2 times x all over x.

Solution: The given statement can be easily rewritten as:

$The quantity 3 times x to the 4th power=3x^4$ ,

$5 times x to the 2nd power=5x^2$ and

$2 times x =2x$

Thus, according to the statement, the expression can be written as:

$\frac{3x^4+5x^2+2x}{x}$

⇒ $3x^3+5x+2$

which is the required simplified expression.

Thus,option A is correct.

5 0

3 years ago

Choose the property used to rewrite the expression. log618-log66 = log63.a) Commutative Propertyb) Product Propertyc) Power Prop

n200080 [17]

Answer:

Option d) is correct

ie, quotient property

Step-by-step explanation:

Given expression is log 618-log 66=log 63

Now we take log 618-log 66

log 618-log 66 = log $\frac{618}{66}$ [By using quotient property, log $\frac{x}{y}=\log x- \log y$ ]

= log 63

Therefore log 618- log 66= log 63

Option d) is correct

In the given expression we are using the quotient property

3 0

3 years ago

A jeweler wants to combine a 60% gold alloy with a 20% gold alloy to make 1000 grams of 50% gold alloy. How many grams of 60% al

kramer

Answer:

750 grams of 60% alloy

Step-by-step explanation:

Define x = amount of 60% alloy and y = amount of 20% alloy

Equating the amounts of gold:

0.6x+0.2y = 1000(0.5)

Since there must be 1000 grams total:

x+y = 1000

Writing the 2 resulting equations together:

0.6x + 0.2y = 500

x + y = 1000

Multiply the first equation by 5:

3x + y = 2500

x + y = 1000

Subtracting the 2nd equation from the 1st:

2x = 1500

x = 750

Answer: 750 grams of 60% alloy

7 0

1 year ago