The age of three sisters are consecutive integers. The sum of their ages is 45. Calculate their ages.

Answers

Answer 1

Answer: the first sister is 14 the second sister is 15 and the third sister is 16

45-3=42

42 divided by 3 equals 14

14+1=15+1=16

14+15+16=45

Answer 2

Answer: consecutive means right after each other like 1, 2, 3, 4...so if the first sister is x old, then sister 2 is (x+1) old and sister 3 is (x+2) old. So make an equation that says x+(x+1)+(x+2)=45. Simplify and solve for x (get x alone.)

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Why do whole numbers raised to an exponent get greater well fractions raised to an exponent get smaller

Answers

Because when you raise an exponent on a fraction, it is basically dividing into itself. Imagine 1/3 multiplied my 3 (Ans is 1), the fractions aren't whole numbers so when they multiply into another number, it uses division

if 3 is added to a number and the sum is tripled, the result is 19 more than the number. find the number

Answers

Answer:

The number is 5

Step-by-step explanation:

if 3 is added to a number and the sum is tripled, the result is 19 more than the number

(n+3) *3 = n+19

Distribute the 3

3n +9 = n+19

Subtract n from each side

3n-n +9 = n-n+19

2n +9 = 19

Subtract 9 from each side

2n+9-9 = 19-9

2n =10

Divide by 2

2n/2 =10/2

n=5

The number is 5

Answer:

(x + 3)·3 = x + 19 --> x = 5

Help with math please? (View image then tell me answer and tell me how you got it from step-by-step)

Answers

oh I remember these... just a lot of tedious work:/
but we are going to break the problem down by finding the volume of the half sphere and then the cylinder. After finding the measurements for both we just add them all together:)
first lets get the cylinder done
the formula for the can issss
$\pi r^(2) h$
so given that we know thatt
$\pi = 3.14$
r = 10
h = 16
so lets plug in our values
3.14 x 10² x 16
since they are all right by each other in the formula example we know that you multiply them. So lets solve that
3.14 x 10² x 16 = 5,024
So that means that the area of our cylinder is 5,024units³
Now before u go anywhere we still need to figure out the volume for the top:)
so the formula for our half sphere is
4/3 $\pi r$ ³
so lets find our value first
we know that 4/3 is just 4/3 soooo
4/3 = 4/3
$\pi = 3.14$
r = 10
so lets plug in our values
4/3 x 3.14 x 10³
now we just solve and 10³ = 1,000
4/3 x 3.14 x 1,000 = 4,186.66667units³
But since we are finding half of a sphere we are going to take that amount and divide it by two.
4,186.66667 ÷ 2 = 2,093.33334
So now we just add together our cylinder volume and half sphere
half sphere = 2,093.33334units³
cylinder = 5,024units³
2,093.33334 + 5,024 = 7,117.33334
soo the volume of our shape is 7,117.33334 or rounded out we could just say 7,117
answer = 7,117units³
hope this was helpful
and don't forget to
MARK ME BRIANLIEST! :D

Which proportion would convert 18 ounces into pounds?

Answers

Answer

The correct answer is B

Explanation;

1 pound is equivalent to 16 Ounces

Which means; 1 lb = 16 oz

Therefore; for us to find the number of pounds in 18 ounces;

we will have; 1 lb = 16 oz what about, 18 oz

Thus; we get; 16 oz/1 lb = 18 oz/×lb

It would be
D) 16oz/1 lb = x lb/18 Oz

What fractional part of a pound is an ounce

Answers

1/16 th of a pound is an ounce. In other words 16 ounces per pound

An ounce is 1/16th of a pound.

Find the third, fifth,and eleventh terms of the sequence described by the rule. A(n)=6+(n-7)(7)
A(3)= ?

Answers

Answer:

aₙ = 6 + (n - 1)*7

a₃ = 6 + (3 - 1)*7 = 20

a₅ = 6 + (5 - 1)*7 = 34

a₁₁ = 6 + (11 - 1)*7 = 76

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