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makkiz [27]
3 years ago
15

Simplify 4(5x - 6) - 4(2x + 1) 12 x - 5 12 x - 20 12 x - 28

Mathematics
2 answers:
Romashka-Z-Leto [24]3 years ago
6 0

Answer:

\huge{ \fbox{ \sf{12x - 28}}}

Step-by-step explanation:

\star{ \sf{ \:  \: 4(5x - 6) - 4(2x + 1)}}

\text{Step \: 1 \:  : Distribute \: 4 \: through \: the \: parentheses}

\mapsto{ \sf{20x - 24 - 4(2x + 1)}}

\text{Step \: 2 \:  : Distribute \: 4 \: through \: the \: parentheses}

\mapsto{ \sf{20x - 24 - 8x - 4}}

\text{Step \: 3 \:  : Collect \: like \: terms}

\text{Like \: terms \: are \: those \: which \: have \: same \: base}

\mapsto{ \sf{20x - 8x - 24 - 4}}

\mapsto{ \sf{12x - 24 - 4}}

\text{Step \: 4 \:  : Calculate}

\underline{ \sf{Remember!}} :  \sf{The \: negative \: integers \: are \: always \: added \: but \: posses \: the \: negative \: ( - ) \: sign}

\mapsto{ \sf{12x - 28}}

Hope I helped!

Best regards! :D

~\text{TheAnimeGirl}

xxTIMURxx [149]3 years ago
3 0

Answer:

Step-by-step explanation:

4(5x - 6) - 4(2x + 1)

20x - 24 - 8x - 4

12x - 28

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2 years ago
Jack is mixing red paint with blue paint to make purple paint. he adds 2/5 of a fluid ounce of red to 11/15 of a fluid ounce of
Sedaia [141]

Answer:

Step-by-step explanation:

Change 2/5 to a decimal

2/5 = 0.4

Change 1 2/15 of a fluid ounce to a decimal.

1.133333

Set up your proportion.

0.4 / 1.133333 = x / 5               Cross multiply

0.4*5 = 1.133333*x

2 = 1.133333 x                         Divide by 1.1333333

2/1.33333 = x

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He needs 1.5 ounces of red to make 5 ounces of purple.

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One of your friends is testing the effect of drinking coffee on the duration of cold symptoms. The common cold lasts, on average
Goshia [24]

Answer: 0.0930

Step-by-step explanation:

As per given , we have

H0: μcoffee = 6

Ha: μcoffee < 6

She finds z = −1.68 with one-sided P-value P = 0.0465.

The P-value for two-tailed test is calculated by :

2P(Z>|z|)

For z= -1.68 , we have

2P(Z>|-1.68|)=2P(Z>1.68)

=2(1-P(z\leq1.68))\ \ [\because\ P(Z>z)=1-P(Z\leq z)]

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3 years ago
How many cubes with edge lengths of 1/4 in. will it take to fill the prism?
Ulleksa [173]

Answer:

1560

Step-by-step explanation:

First (2 1/2)/(1/4) = (5/2)(4) = 20/2 = 10

Next, 3/(1/4) = 3(4) = 12

Lastly, (3 1/4)/(1/4) = (13/4) x 4 = 52/4 = 13

This means we need 10 rows of 12, 13 high. 10(12)(13) = 1560 cubes.

Another way is to multiply 2 1/2 x 3 x 3 1/4 = 5/2 x 3 x 13/4 = 195/8

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2 years ago
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