Solve correct to 2 Demi meal places 8(6)^x=111 x=

How many cases of 12 do you need to fill 159

Svetlanka [38]

159÷12=13 and the fraction 1/4

3 0

3 years ago

Find the radius and the circumference to the nearest hundredth when d ≈ 3.8 in. Use 3.14 for π.

Over [174]

D=3.8
radius r=d/2=1.9
C, circumference
C=2*3.14*r or C=d*3.14
C=3.08*3.14=11.932
C=11.93

5 0

3 years ago

A cosmetic company makes three bottles of scented lotion using the recipe shown. Each bottle holds a different amount of lotion.

seropon [69]

Answer:

Part 1) Bottle 1 (vanilla=1,almond=3,pineapple=4)

Part 2) Bottle 2 (vanilla=2,almond=6,pineapple=8)

Part 3) Bottle 3 (vanilla=1 1/2,almond=4 1/2,pineapple=6)

Step-by-step explanation:

Let

x ----> the amount of vanilla sent

y ----> amount of almond sent

z ----> the amount of pineapple sent

we know that

$x:y:z=\frac{1}{8}:\frac{3}{8}:\frac{1}{2}$

so

$\frac{x}{y}=\frac{1}{8}:\frac{3}{8}$

$\frac{x}{y}=\frac{1}{3}$

$x=\frac{y}{3}$ -----> equation A

$\frac{x}{z}=\frac{1}{8}:\frac{1}{2}$

$\frac{x}{z}=\frac{1}{4}$

$x=\frac{1}{4}z$ -----> equation B

$\frac{y}{z}=\frac{3}{8}:\frac{1}{2}$

$\frac{y}{z}=\frac{3}{4}$

$y=\frac{3}{4}z$ -----> equation C

Part 1) Bottle 1

vanilla=?

almond=?

pineapple=4

we have

$z=4$

Find the value of x

substitute the value of z in equation B

$x=\frac{1}{4}(4)$

$x=1$

Find the value of y

substitute the value of z in equation C

$y=\frac{3}{4}(4)$

$y=3$

therefore

Bottle 1

vanilla=1

almond=3

pineapple=4

Part 2) Bottle 2

vanilla=?

almond=6

pineapple=?

we have

$y=6$

Find the value of x

substitute the value of y in equation A

$x=\frac{6}{3}=2$

Find the value of z

substitute the value of x in equation B

$2=\frac{1}{4}z$

solve for z

$z=8$

therefore

Bottle 2

vanilla=2

almond=6

pineapple=8

Part 3) Bottle 3

vanilla=1 1/2

almond=?

pineapple=?

we have

$x=1\frac{1}{2}$

convert to an improper fraction

$x=1\frac{1}{2}=\frac{1*2+1}{2}=\frac{3}{2}$

Find the value of y

substitute the value of x in equation A

$\frac{3}{2}=\frac{y}{3}$

$y=\frac{9}{2}$

convert to mixed number

$y=\frac{9}{2}=\frac{8}{2}+\frac{1}{2}=4\frac{1}{2}$

Find the value of z

substitute the value of x in equation B

$\frac{3}{2}=\frac{1}{4}z$

$z=6$

therefore

Bottle 3

vanilla=1 1/2

almond=4 1/2

pineapple=6

5 0

3 years ago

Read 2 more answers

The question is in the image! Please help if u can its due really soon

maw [93]

Answer:

5.4

Step-by-step explanation:

3x+38=10x

-3x -3x

38=7x

x=5.4

Brainliest pleaseeeeeee

7 0

3 years ago

Read 2 more answers

Which one would make me more money?

disa [49]

Answer:

im gouing to use 3 hours as an example so the first hour is 5 dollars and 8 dollars for each additional hour there are 2 additional hours which would be 16 dollars from the additional hours and plus 5 dollars from the first hour so 21 dollars

and the other option like i said earlier 3 hours is the example so 6*2 becasue their are 2 additional hours which is 12 plus 15 dollars from the first hour so 27 dollars

so the answer would be charge 15 dollars for the first hour and 6 for additional hour

can i get brainly please

3 0

3 years ago