John is icing 30 cupcakes. He spreads mint icing on 1/5 of the cupcakes and chocolate icing on 1/2 of the remaining cupcakes. How many cupcakes will get chocolate frosting?

Answers

Answer 1
Answer:

Answer: 12 cupcakes will get chocolate frosting

Step-by-step explanation: John started with 30 cupcakes and spresd mint icing on 1/5 of these. That means he did the following

Mint icing = 30 x 1/5

Mint icing = 6

That leaves him with a total of 30 minus 6 cupcakes which equals 24 cupcakes.

Next he spreads chocolate icing on half of the remaining, that is half of 24. That means he did the following;

Chocolate icing = 24 x 1/2

Chocolate icing = 12

Therefore 12 cupcakes will get chocolate frosting


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Write the number 28.75 to the nearest whole number

Answers

It would be 29.

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How do you simplify the cube root of 32?

Answers

I hope this helps you

e) Andy is 2 times younger than his sister and his father is 25 years older than him. If the total of their ages is 53 years, what is Andy’s age and his father’s age?

Answers

An equation is formed of two equal expressions. The age of Andy is 7 years, while the age of his father is 32 years.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let Andy's sister's age be represented by y, while the age of Andy is represented by x. Given that Andy is 2 times younger than his sister. Therefore, we can write the equation as,

Sister's age, y = 2x

Also, Andy's father is 25 years older than him. Therefore, we can write,

Father = x + 25

Since the sum of all the people's age is 53. Therefore, we can write,

Sum = y + x + Father's age

53 = 2x + x + x + 25

53 = 4x + 25

28 = 4x

x = 28/4

x = 7

Therefore, the age of the family members can be written as,

Andy's age = x = 7 years

Andy's sister's age = 2x = 2(7) = 14 years

Andy's father’s age = x + 25 = 7 + 25 = 32 years

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Andy is 7, his sister is 14, and their dad is 32.

7+25= 32

When graphing an equation in slope-intercept form, what is the first step.

Answers

Answer:

show the a pic

Step-by-step explanation:

Since there are 5,280 feet in one mile and 3.3 feet in one meter, how many meters per second are equivalent to 60 miles per hour?a.) 26 (2)/(3) meters per second
b.) 198 meters per second
c.) 266 (2)/(3 (2)/(3) ) meters per second
d.) 290 (2)/(5)
please explain.

Answers

Given:
1 mile = 5280 feet
1 meter = 3.3 feet

convert 60 miles per hour to meters per second

60 miles to meters

60 miles x 5280ft x 1meter = (60*5280m)/3.3 = 316800m/3.3
                  1 mile    3.3ft
= 96,000 meters

1 hour to seconds

1 hour x 60 minutes x 60 seconds =   1 * 60 * 60sec = 3600 seconds 
                1 hour            1 minute

unit rate: meters per second

96000 meters ÷ 3600 seconds = 26 2400/3600 
simplify 26 2400/3600 ⇒ 26 2/3 meters per second

2400 ÷ 1200 = 2
3600 ÷ 1200 = 3

7x^2-31x+20 I Know The Answer, I Just Don't Know The Steps To Solving This Equation.

Answers

7x^2-31x+20=0
First, remove the coefficient by division
So
(7x^2)/(7)-(31x)/(7)+(20)/(7)=0
Then, cancel out (20)/(7)
So,
x^2-(31x)/(7)+(20)/(7)-(20)/(7)=-(20)/(7)
Then take half of the coefficient, then square it.
(-(31)/(7))/(2)=(37)/(14)
(-(37)/(14))^2=(961)/(196)
So, The equation already looks like this:
x^2-(31)/(7)+(961)/(196)=-(20)/(7)+(961)/(196)
So,
x^2-(31)/(7)+(961)/(196)=(401)/(196)
Then factor the left side of the equation:
(x-(31)/(14))^2=(401)/(196)
Then square both sides:
x-(31)/(14)=\sqrt{(401)/(196)}
7x^2-31x+20=0\n \n \Delta=(-31)^2-4.7.20=961-560=401\n \n x=\frac{31 \pmsqrt{401}}{2*7}=(31 \pm√(401))/(14)