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3 years ago

Find the value of x in the equation 4(x+3)+2x-18=10x+24

Mathematics

1 answer:

MissTica3 years ago

6 0

Answer:

X= -7.5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x=−15/2

Decimal Form:

x=−7.5

Mixed Number Form:

x=−7 1/2

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8 books cost 11.20. Find the cost of 5 books

Hunter-Best [27]

First of all we have to find the cost of a book then multiply it by 5 :

$ 11.20 ÷ 8 = $ 1.4

$ 1.4 × 5 = $ 7

Thus 5 books have a cost of $ 7 .

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3 years ago

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I need help with this problem.

sdas [7]

Answer:

$\text{4}\quad -3x^{-1}+x^{-2}$

Step-by-step explanation:

The answer choices suggest there is a common factor of (x+2) that can be removed from numerator and denominator.

The denominator factors as ...

$x^3+2x^2=x^2(x+2)$

The numerator obviously has no factors of x. We can try any of several means to determine if (x+2) is a factor. I tried synthetic division and found that the numerator can be written as ...

$-3x^2-5x+2=(-3x+1)(x+2)$

Then the expression simplifies to ...

$\dfrac{-3x^2-5x+2}{x^3+2x^2}=\dfrac{(-3x+1)(x+2)}{x^2(x+2)}\\\\=\dfrac{-3x+1}{x^2}=\dfrac{-3x}{x^2}+\dfrac{1}{x^2}=-3x^{-1}+x^{-2} \qquad\text{matches choice 4}$

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3 years ago

The marks price of an article is 4500.after allowing some percent of and levying 10% VAT it is sold at 4400, find the discount p

Mars2501 [29]

The discount percent for the given transaction is calculated as; 6.11%

<h3>What is the percentage Discount?</h3>

We are given;

Mark Price; M.P = 4500

Now, formula for discount amount is;

Discount amount = %Discount * M.P

Discount amount = x% * 4500 = 45x

Also;

Selling price is;

S.P = M.P - Discount Amount

S.P = 4500 - 45x

VAT = Vat% * S.P

VAT = (10%*4500) - 45x

VAT = 450 - 45x

S.P with VAT = S.P + VAT Amount = 4500 - 45x + 450 - 45x = 4950 - 90x

Thus;

4950 - 90x = 4400

Solving for x gives;

x = 6.11%

Read more about Percentage Discount at; brainly.com/question/843074

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2 years ago

An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such tha

amid [387]

Answer:

Given:

mean, u = 6.2

sample size, n = 180

Sample mean, X' = 6.3

s.d $\sigma$ = 0.9

Significance level = 0.05

The null and alternative hypothesis will be:

H0 : u = 6.2

H1 : u > 6.2

Degree of freedom = 180 - 1 = 179

Using t table, the t critical value,

t> t(0.05, 179) = 1.6534

The test statistic:

$t = \frac{X' - u}{\frac{\sigma}{\sqrt{n}}}$

$T = \frac{6.3 - 6.2}{\frac{0.9}{\sqrt{180}}} = 1.4907$

Since the test statistic(t calculated value) 1.4907 < t critical value (1.6534), we fail to reject the null hypothesis H0.

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3 years ago

Of the 13 people who have taken their seats at a seminar, 5 have red hair. What is the experimental probability that the next pe

trapecia [35]

Answer:

5/13

Step-by-step explanation:

P(red) =

red

total

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