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3 years ago

How to solve this problem 3(-4x+8)=

Mathematics

2 answers:

weqwewe [10]3 years ago

7 0

Answer:-12x+24

Step-by-step explanation:Since an answer was not provided to solve the equation you can only simplify it. You would multiply 3 by -4x to get -12x. You would then multiply 3 by 8 to get 24. You do these first 2 steps because of distributive property. You would add -12x+24. If an answer is not provided you cannot simplify this any further. Hope this helps!

otez555 [7]3 years ago

6 0

Answer:

Use Distributive Property.

Step-by-step explanation:

Multiply 3 times -4x to equal -12x

Multiply 3 times (+8) to equal 24

-12x + 24 =

Subtract 24 from each side

-12x + 24 -24 = -24

Divide both sides by -12

-12x/-12 = -24/-12

x = 2

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A cyclist travels at 20 kilometers per hour when cycling uphill, 24 kilometers per hour when cycling on flat ground, and 30 kilo

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Answer:

Their average speed during the entire round trip = 24 miles per hour

Step-by-step explanation:

To determine:

What was their average speed during the entire round trip?

Information Fetching and Solution Steps:

A cyclist travels at 20 kilometers per hour when cycling uphill

24 kilometers per hour when cycling on flat ground

30 kilometers per hour when cycling downhill

On a sunny day, they cycle the hilly road from Aopslandia to Beast Island before turning around and cycling back to Aopslandia.

Let us assume that that the road is uphill one way and downhill the other way

As we know that the formula of average speed

$Average\:speed=\:\frac{Total\:Distance\:\:Covered}{Total\:Time\:taken\:to\:cover\:the\:distance}\:\:$

$As\:they\:do\:an\:out\:and\:back\:trip$

$The\:up\:and\:down\:portions\:reverse\:and\:the\:flat\:remains\:the\:same$

On the way out:

Say

$60\:miles\:up\:hill=\:3\:hours$

$flat\:48=\:2\:hrs$

$down\:120=4\:hrs$

on the way back:

$up\:120\:=\:6\:hrs$

$flat\:48=\:2\ hrs$

$down\:60=\:2\:hrs$

So,

$total\:miles\:=\:456\:miles$

$total\:time\:=\:19\:hrs\:\:\:$

$Average\:speed=\:\frac{Total\:Distance\:\:Covered}{Total\:Time\:taken\:to\:cover\:the\:distance}\:\:$

Therefore,

$Average\:speed=\:\frac{456}{19}\:\:\:$

= 24 miles per hour

Hence, their average speed during the entire round trip = 24 miles per hour

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3 years ago

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Step-by-step explanation:

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3 years ago

Two students are running on a circular path. It takes the first student 25 minutes to complete one lap, and it takes the second

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The computation shows that the time when they'll meet each other will be 175 minutes.

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From the information, it takes the first student 25 minutes to complete one lap, and it takes the second student 35 minutes to complete one lap.

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1 year ago

At the Foremost State Bank the average savings account balance in 2012 was $1900. A random sample of 45 savings account balanes

lakkis [162]

Answer:

The calculated |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

Step-by-step explanation:

Step(i):-

Mean of the Population = 1900

Given random sample size 'n' = 45

Mean of the sample x⁻ = 1000

Standard deviation of the sample = 225

Null Hypothesis:-

There is no difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012.

Alternative Hypothesis :-

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

Step(ii):-

Test statistic

$t = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$t = \frac{1000-1900 }{\frac{225}{\sqrt{45} } }$

t = -900 /33.54 = -26.517

|t| = |-26.517|=26.517

Degrees of freedom

γ = n-1 = 45-1 =44

t₍₀.₀₁ , ₄₄₎ = 2.326

The calculated |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

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