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2 years ago

Which expression shows an equivalent form of the expression xpression 97.93?

Mathematics

1 answer:

Korvikt [17]2 years ago

4 0

Answer:

i think this is what you mean:90 + 7.93

Step-by-step explanation:

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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

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

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

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

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

$z=4$

<em>Find the value of x</em>

substitute the value of z in equation B

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

$x=1$

<em>Find the value of y</em>

substitute the value of z in equation C

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

$y=3$

therefore

<em>Bottle 1</em>

vanilla=1

almond=3

pineapple=4

Part 2) Bottle 2

vanilla=?

almond=6

pineapple=?

we have

$y=6$

<em>Find the value of x</em>

substitute the value of y in equation A

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

<em>Find the value of z</em>

substitute the value of x in equation B

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

solve for z

$z=8$

therefore

<em>Bottle 2</em>

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

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

<em>Find the value of y</em>

substitute the value of x in equation A

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

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

convert to mixed number

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

<em>Find the value of z</em>

substitute the value of x in equation B

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

$z=6$

therefore

<em>Bottle 3</em>

vanilla=1 1/2

almond=4 1/2

pineapple=6

5 0

2 years ago

Read 2 more answers

Colin pays £721.45 a year on his car insurance.

Burka [1]

Answer:

655.08

Step-by-step explanation:

4 0

2 years ago

im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points

s344n2d4d5 [400]

Answer:

Step-by-step explanation:

6 0

2 years ago

Can someone please help????? What is 25% off of $23.99???

Anika [276]

$p\%=\frac{p}{100}\\\\25\%=\frac{25}{100}=\frac{1}{4}\\\\25\%\ of \ \$23.99=\frac{1}{4}\cdot\$23.99=\$5.9975\approx\$6.00$

4 0

3 years ago

Robert drew a parallelogram with 2 55 degree angles. What are the measures of the 2 other angles? Both of the angles have to be

Licemer1 [7]

Angles in a parallelogram have to equal 360.

Let x represent the measurement of the unknown angle.

2(55) + 2x = 360
110 + 2x = 360
2x = 250
x = 125

125 degrees

5 0

3 years ago