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3 years ago

Which expression are equivalent to -3(2w+6)-4

Mathematics

1 answer:

irga5000 [103]3 years ago

7 0

Answer:

B. 2(-3w+(-11)

Step-by-step explanation:

-3(2w+6)-4=

-6w-18-4=

-6w-22=

2(-3w+(-11)

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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

$z=4$

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 graph of Fx), shown below, has the same shape as the graph of

AlexFokin [52]

Step-by-step explanation:

step 1. shifting f(x) up by one simply adds 1 to f(x).

step 2. if g(x) = x^2 then f(x) = x^2 + 1.

4 0

3 years ago

Having a small brain moment, can you please help and show work

ankoles [38]

Answer:

The value if x is 0.9875.

Step-by-step explanation:

First, we have to get rid of brackets by expanding :

$0.5(2x + \frac{3}{4} ) - \frac{1}{3} (0.1 + x) = 1$

$0.5(2x) + 0.5( \frac{3}{4} ) - \frac{1}{3} (0.1) - \frac{1}{3} (x) = 1$

$x + \frac{3}{8} - \frac{1}{30} - \frac{1}{3} x = 1$

Next you have to collect like terms :

$x - \frac{1}{3} x + \frac{3}{8} - \frac{1}{30} = 1$

$\frac{2}{3} x + \frac{41}{120} = 1$

Lastly, you can solve x :

$\frac{2}{3} x = 1 - \frac{41}{120}$

$\frac{2}{3} x = \frac{79}{120}$

$x = \frac{79}{120} \div \frac{2}{3}$

$x = \frac{79}{80}$

$x = 0.9875$

8 0

3 years ago

Select all the answers choices that would NOT be part of the domain of f o g(x) if:

SSSSS [86.1K]

fog(x)

$\\ \rm\rightarrowtail \dfrac{(2/x+1)+3}{4/x+1)-1}$

$\\ \rm\rightarrowtail \dfrac{2+3x+3/x+1}{4-x-1/x+1}$

$\\ \rm\rightarrowtail \dfrac{3x+5}{3-x}$

$\\ \rm\rightarrowtail 3-x\neq 0$

$\\ \rm\rightarrowtail x\neq 3$

Option h is correct

7 0

2 years ago

Please answer this Hope you get along I report What to answer

Llana [10]

What the hel you expect us to do all that for 5 kids points? Go ask you mom to do that for you. If you're asking US to do that, then it has to be 40 or 50 points.

3 0

3 years ago