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storchak [24]
3 years ago
9

You are making a colorful cake for a birthday party and need to use 4 drops of food coloring for every 5 ounces of icing. How ma

ny drops of food coloring do you need if
you are using 30 ounces oficing?
Mathematics
1 answer:
kari74 [83]3 years ago
4 0

Answer:

24 drops of food coloring

Step-by-step explanation:

First, since there are 30 ounces, divide by 5, because there are 4 drops in every 5 ounces of icing. Since 30÷5=6, You have to multiply it by 4 to get 24. You multiply by 4 because there are 4 drops in 5 ounces of icing.

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Nat opened an account that earns 1.4% simple annual interest. He will earn $21 total interest after 3 years. How much did he dep
nataly862011 [7]

Answer:

Therefore Nat deposited $500 when he opened the account.

Step-by-step explanation:

Given that Nat opened an account that earns 1.4% simple annual interest. He will earn $21 total interest after t years.

The simple interest formula is

I= Prt

I= interest= $21

P= Principal=?

t= time in year= 3 years.

r = rate of interest= 1.4%= 0.014

I= Prt

\Rightarrow P=\frac{I}{rt}

       =\frac{21}{0.014\times 3}

       =$500

Therefore Nat deposited $500 when he opened the account.

8 0
3 years ago
X3 − 2y2 − 3x3 + z4 if x = 3, y = 5, and z = −3.
yan [13]
3^3 - 2*5^2 - 3*3^3 + (-3)^4 = 
= 27 - 2*25 - 3*27 + 81 = 
= 27 - 50 - 81 + 81= 
= - 23 
7 0
3 years ago
Gage walked to his aunt's house. At 3.00 P.M., he was 78 of a mile from his aunt's house. At 3:25 P.M., he was 48 of a mile clos
sashaice [31]

Answer:

5/13

Step-by-step explanation:

At 3:00 P.M., Gage was 78 miles away from his destination, at 3:25 P.M., he was 48 miles closer to his aunt's house

Representing this information in mathematical form, we have:

x (at 3:00) = 78 miles, x (at 3:25) = x - 48 = 78 - 48 = 30 miles

At 3:25 P.M., Gage had covered a distance of 48 miles & had 30 miles left to get to his aunt's house

Fraction of mile to the house = Distance left to the house ÷ Total distance

Fraction = 30 ÷ 78 = 5/13

It means Gage was a fraction of 5/13 away from his aunt's house at 3:25 P.M.

4 0
4 years ago
Directions: Solve for the variable in the following equations.
Yakvenalex [24]

Answer:

Step-by-step explanation:

a. 1/2x = 10  x = 20

b. 1/4s = 8    s = 32

c. 1/3t = 6     t = 18

d. 1/5 y = 20    y = 100

4. Division

a. 4x = 32    x = 8

b. 13x = 39     x = 3

c. 5x = 25    x = 5

d. 10x = 100    x = 10

5. Mixed Practice

a. x + 4 = 7     x = 3

b. 33 - y = 44       y = -11

c. s + 18 = 26      s = 8

d. m - 40 = 20     m = 60

e. z + 100 = 100    z = 0

f. x + 22 = 23      x = 1

g. s - 4 = 96     s = 100

h. 1/4x = 4       x = 16

i. 24x = 3 x = 1/8

j. 1/5x = 50 x = 250

k. 1/3y = 33 x = 99

l. t + 12 = 16 t = 4

m. t - 12 = 16 t = 28

n. 1/2q = 8 q = 16

o. 12t = 24       t = 2

3 0
2 years ago
Find the distance in units 5/8 and 1/4
DanielleElmas [232]

Answer:

The chosen topic is not meant for use with this type of problem.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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