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3 years ago

-8x = 140 Solve for x

Mathematics

2 answers:

Alekssandra [29.7K]3 years ago

6 0

Answer:

Explanation:

-8x = 140

Divide both sides by -8

-8x / -8 = 140 / -8

x = ⁻³⁵⁄₂

Simplify

x = -17.5

Vlada [557]3 years ago

3 0

Answer:

-17.5

Step-by-step explanation:

140 divided by -8=-17.5

x=-17.5

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15 less than a number y

worty [1.4K]

Answer: it would be: y - 15

as an expression

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3 years ago

Read 2 more answers

In the year 2017, an estimated 4,347,000 people in this country are illiterate.

Salsk061 [2.6K]

The number of people of the country which is predicted will be illiterate in the year 2025 are 1,300,700.

<h3>What is percentage decrease?</h3>

Percentage decrease is the amount deducted or reduced from the initial value in the percentage part.

In the year 2017, an estimated 4,347,000 people in this country are illiterate. With new incentives and funding, The country is hoping to cut that number by 14% every year.

Total year from 2017 to 2025 are 8 years. Thus, use the following formula of compound interest to find percentage decrease:

$A=P\times\left(1+\dfrac{r}{100}\right)^{t}\\$

Here, A is the final population, The initial population is P, the rate is r and the time period is t. Put the values,

$A=4347000\times\left(1-\dfrac{14}{100}\right)^{8}\\A\approx1300700$

Thus, the number of people of the country which is predicted will be illiterate in the year 2025 are 1,300,700.

Learn more about the percentage decrease here;

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8 0

2 years ago

Each morning, Sleepwell Hotel offers its guests a free continental breakfast with pastries and orange juice. The hotel served 62

mario62 [17]

Answer:481

Step-by-step explanation:

35% of 740

35/100 × 740 = 259

35% less than = 740 - 259

=481

Therefore 481 gallons was served this year.

8 0

3 years ago

Use Lagrange multipliers to find the maximum and minimum values of

marusya05 [52]

The Lagrangian is

$L(x,y,\lambda)=x+8y+\lambda(x^2+y^2-4)$

It has critical points where the first order derivatives vanish:

$L_x=1+2\lambda x=0\implies\lambda=-\dfrac1{2x}$

$L_y=8+2\lambda y=0\implies\lambda=-\dfrac4y$

$L_\lambda=x^2+y^2-4=0$

From the first two equations we get

$-\dfrac1{2x}=-\dfrac4y\implies y=8x$

Then

$x^2+y^2=65x^2=4\implies x=\pm\dfrac2{\sqrt{65}}\implies y=\pm\dfrac{16}{\sqrt{65}}$

At these critical points, we have

$f\left(\dfrac2{\sqrt{65}},\dfrac{16}{\sqrt{65}}\right)=2\sqrt{65}\approx16.125$ (maximum)

$f\left(-\dfrac2{\sqrt{65}},-\dfrac{16}{\sqrt{65}}\right)=-2\sqrt{65}\approx-16.125$ (minimum)

5 0

3 years ago

Need Answered ASAP

kicyunya [14]

Answer:

The possible rational roots are: +1, -1 ,+3, -3, +9, -9

Step-by-step explanation:

The Rational Root Theorem tells us that the possible rational roots of the polynomial are given by all possible quotients formed by factors of the constant term of the polynomial (usually listed as last when written in standard form), divided by possible factors of the polynomial's leading coefficient. And also that we need to consider both the positive and negative forms of such quotients.

So we start noticing that since the leading term of this polynomial is $x^3$ , the leading coefficient is "1", and therefore the list of factors for this is: +1, -1

On the other hand, the constant term of the polynomial is "9", and therefore its factors to consider are: +1, -1 ,+3, -3, +9, -9

Then the quotient of possible factors of the constant term, divided by possible factor of the leading coefficient gives us:

+1, -1 ,+3, -3, +9, -9

And therefore, this is the list of possible roots of the polynomial.

6 0

3 years ago