3) 5.6 + 0.18 - x = 0.4x

sineoko [7]

This is deceptively simple: there are only three terms, one is a constant (1) and two are coefficients of q (4q, -2q). To simplify the like terms, just simplify the terms containing q.

6 0

3 years ago

Read 2 more answers

I need help answering this

mr_godi [17]

Answer:

uhm i would say the second one but i might be very wrong

Step-by-step explanation:

7 0

2 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

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A recipe calls for 3/4 cup of butter. Angie wants to triple the recipe, but she has only 1 5/8.

Lyrx [107]

Let's start out by tripling the original recipe to see how much butter Angie needs.

$\frac{3}{4} * 3 = total$
$\frac{3* 3}{4} = total$
$\frac{9}{4} = total$
$2 \frac{1}{4} = total$

So we need $2 \frac{1}{4}$ cups of butter, but Angie only has $1 \frac{5}{8}$ . Let's subtract what Angie has from the total to see how much more she needs.

$2 \frac{1}{4} - 1\frac{5}{8} = n$
$\frac{9}{4} - \frac{13}{8} = n$
we will need the least common denominator for both fractions
$\frac{2}{2} *(\frac{9}{4}) - \frac{13}{8} = n$
$\frac{18}{8} - \frac{13}{8} = n$
$\frac{5}{8} = n$

So Angie need $\frac{5}{8}$ cups more of butter for the recipe.

7 0

3 years ago

What is the value of x for which 3/4=x/12

mamaluj [8]

Answer:

the value of x will be 9

x = 9

4 0

3 years ago