Order of operations
18 ÷ 9 - 4 x 15

Answer: x= 13, y=24

Step-by-step explanation:

7x - 31 + 63 + 5x - 8 = 180 (sum of co-interior angles)

Solving this we get x = 13

4y + 27 + 5x - 8 = 180 (sum of co-interior angles)

Replacing x=13 and solving, we get y = 24

The value of x is 7 and y is 31.5.

Transversal line is a line that is formed by cutting two or more parallel lines.

Here there are two transversal lines which cut two parallel lines.

If two parallel lines are cut by a transversal line, then the interior angles on the same side of the transversal will be supplementary.

The angles of measures (7x - 31)° and (5x - 8)° + 63 are two interior angles  on the same side of transversal and are thus supplementary.

(7x - 31)° + (5x - 8)° + 63 = 180°

7x + 5x - 31 - 8 + 63 = 180

12x + 24 = 180

12x = 180 - 24

12x = 156

x = 156/12 = 13

Similarly, (5x - 8)° and (4y + 27)° are a pair of interior angles on the same side of transversal.

(5x - 8)° + (4y + 27)° = 180°

5x + 4y + 19 = 180

(5 × 13) + 4y + 19 = 180

65 + 4y + 19 = 180

4y = 96

y = 24

Hence the values of x and y are 13 and 24 respectively.

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Answer:

(x - 1) (x^2 + 4x + 53)

Step-by-step explanation:

Common factor: x - 1

(x^3 + 3x^2+ 49x - 53) / (x - 1)

= (x^2 + 4x + 53) (x-1)

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Hi there!

We are given the following expression:

[tex]\frac{1}{6}[/tex] ÷[tex]\frac{1}{5}[/tex]

And we would like to solve it

Whenever we are dividing fractions, we are actually multiplying the first fraction (in this case, 1/6) by the reciprocal of the second fraction (in this case, 1/5), which is the "flipped" version of that fraction; the value that is in the numerator becomes the value in the denominator, and the value in the denominator becomes the value in the numerator.

So the reciprocal of 1/5 is 5/1, or 5/1

So we will multiply 1/6 by 5

[tex]\frac{1}{6} * 5 = \frac{5}{6}[/tex]

The fraction is in the simplest form; 5/6 is the answer.

Hope this helps!

Answer:

Step-by-step explanation:

Let the width is x, then the area is:

Solving we get:

So correct choice is B

Answer:

The total compound interest is $3,488.50, I hope I helped explain how to find total compound interest

Step-by-step explanation:

So the formula for this would be:

A = P(1+r/n)^nt

A = the amount of your principal plus interest, which is the total

P = stands for the principal, which is your original amount invested

r = shows the interest rate in decimal form

n =  stands for the number of compounding periods

So to solve for the compound interest we would plug in our numbers in replacement for the letters

Answer:

1,800, 000, 000 ,000, 000 ,000, 000

simplified:

1.8e+21

Step-by-step explanation:

when it says 1e+20 that means there is 20 zeroes behind it:

100, 000, 000 ,000, 000 ,000, 000

Have a nice day!

Answer:

True.

Step-by-step explanation:

If we put the values:

3×6-4=14

18-4=14

14=14

Hope this helps you. Have a nice day. Please mark as brainliest. It helps a lot. ^_^

Answer:

2...

Step-by-step explanation:

1 + 1 = 2

Answer:

25 rows

Step-by-step explanation:

Because if you divide 350 by 14 it gives you 25

Answer:

25

Step-by-step explanation:

350÷ 14 = 25.........

Answer:

.66 are in each bag.

Step-by-step explanation:

14/3 = 4.66666666667

then you grab the answer for 14/3 and divide by 7

this in turn will get you .66 repeated

so .66 of a pound is in each 7 bags.

[tex]1 \times \frac{3}{5} + ( \frac{7}{10} )[/tex]

Answer:

1 \times \frac{3}{5} + ( \frac{7}{10} )

Answer:

Second and Fifth answers

Step-by-step explanation:

The negative is being multiplied by a negative so the 7/10 should be positive.

Answer:

The answer is 77848.1336

Answer:

x = 36 is not a solution

Step-by-step explanation:

3x<100

Let x = 36

3*36 < 100

108 < 100

This is not true so x = 36 is not a solution

Answer:

This inequality is False!

Step-by-step explanation:

3x < 100

3x36 < 100

108 < 100

Since 108 is greater than 100 this statement is not true. Hope this helps:)

Answer:

4.3 x[tex]10^{6}[/tex] meters

4.3x[tex]10^{9}[/tex] millimeters

Step-by-step explanation:

Answer:

x=-2+9

Step-by-step explanation:

The first line is negative 2 and the second line is positive nine.

Answer:

y = 1/2x + 3

Step-by-step explanation:

First we find the slope:

(y2 - y1)/(x2 - x1) =

3-0 / 0 + 6

3/6 = 1/2

then the y intercept is 0,3 so we add 3

y = 1/2x +3

Answer:

La raíz cuadrada de cualquier número se puede expresar usando la fórmula: √y = y½.

Answer:

Step-by-step explanation:

A. Senators have to have been a U.S. citizens for nine years prior to being elected; members of the House of Representatives must be American citizens for seven years before being elected.

C. Senators and members of the House of Representatives must live in the state they represent.

D. Senators must be at least 30 years old; members of the House of Representatives must be at least 25.

An algebraic expression for the given statement is 20-x.

The given statement is the difference of 20 and x.

We need to write an algebraic expression for the given statement.

An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.

Now, the difference of 20 and x =20-x

Therefore, an algebraic expression for the given statement is 20-x.

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The average rate of growth of the ice can be found by dividing the thickness by the number of days of growth

The growth rate of the ice over the 8 days is 0.375 inches/day

Reason:

The known information on the ice are;

The time it took the ice to reach a thickness of 3 inches = 8 days

Required:

The (average) rate that the ice is growing in c=inches per day

Solution:

[tex]Rate \ of \ growth \ of \ ice= \dfrac{Increase \ in \ thickness}{ Time} = \dfrac{\Delta \ Thickness}{\Delta T}[/tex]

Therefore;

[tex]Rate \ of \ growth \ of \ ice= \dfrac{3 \ inches}{ 8 \ days} = 0.375 \ inches/day[/tex]

The (average) rate of growth of the ice over the 8 days is 0.375 inches per day

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Answer:

I think B is the answer ..........

Answer:

D.

Step-by-step explanation:

End behavior : Left up and right down

Even degree with negative leading coefficient

Answer:

look at the explanation 20,440

Step-by-step explanation:

so the invested 2,800 $  and the interest rate is 1.46 so first what I would do is 1.46 times 5 = 7.3 then 7.3 x 2,800 =20,440

so I think the answer is 20,440

not sure if this is correct but I gave it my all

or you could just do 2800 time 5 time 1.46

Answer:

BC​=48cm

Step-by-step explanation:

Let A= reference angle,

AC=h=60cm

AB=b=36cm

BC=p=?

Using pythogorean theorem,

h^2=p^2+b^2

√(60^2-36^2)=p

√2304=p

p=48cm

Step-by-step explanation:

this line goes through the points (0, -3) and (4, 0).

so, the y-axis intercept is at y = -3.

therefore, the equation has to end with "- 3".

the slope (the factor of x in the equation) is the y/x ratio of the changes of y and of x when going from one point to the other :

x changes by 4 positive units (from 0 to 4), and y changes by 3 positive units (from -3 to 0).

so, the slope is 3/4.

and so, the equation is

y = (3/4)x - 3

As we know,

[tex] \boxed{ \boxed{(a + b) {}^{2} = {a}^{2} + {b}^{2} + 2ab}}[/tex]

now, let's plug the given values to find a² + b²

Answer: 6 10

Step-by-step explanation:

Answer:

167°

Step-by-step explanation:

x = 167°