An expression is shown below:

3(m + 5 + 9m)

Write two expressions that are equivalent to the given expression.

Answer:

The smallest integer is 11.

Step-by-step explanation:

Let the first integer be x.

Then the second will be (x + 1) and the third will be (x + 2).

The sum is 36. Hence:

[tex]x+(x+1)+(x+2)=36[/tex]

Solve for x:

[tex]3x+3=36[/tex]

So:

[tex]3x=33[/tex]

Hence:

[tex]x=11[/tex]

Our sequence is 11, 12, 13.

So, the smallest integer is 11.

Answer:

4x+12+mx+3m

You use the FOIL method.

Answer:

(4+m)(x+3)

Step-by-step explanation:

x+3 is a common factor, so you can convert this to put the other 2 parts in a bracket. This results in (4+m)(x+3).

An example of how this works is if you made m=1 and x=2. This would make the original expression 4(2+3)+1(2+3), or 4×5+1×5, which is 5×5 or 25. (1+4)(2+3) also equals to 5×5.

**You may want to revise factorising algebraic equations. I'm always happy to help!

Answer:

[tex]\$14,733.25[/tex]

Step-by-step explanation:

Taxable income refers to the income subject to taxes from government, including but not limited to federal tax.

Since taxable income is equal to $58,933, tax will be based off of this value. Because Tina is single and her income falls within the 25% range, her federal tax is equal to:

[tex]\$58,933\cdot 0.25=\boxed{\$14,733.25}[/tex]

Answer:

m∠=6, ,m∠=+20,m∠=40+3

the larger the angle, the larger the side

Answer: 30 and 26

Step-by-step explanation:

Answer:

Zoom in more and I can help

Step-by-step explanation:

Answer:

1. 2l + 2w

Perimeter of a rectangle

2. πr2

Area of a circle

3. 2πrh+2πr^2

Surface area of a cylinder

4. Bh

Volume of a triangular prism.

(This formula means the area of the base multiplied by the height)

Step-by-step explanation:

I really hope this helps!

Answer:

2x^2-9x+15

It is prime/unfactorable

Step-by-step explanation:

Answer is below. Look at the steps to clearly understand my answer.

Now, the first time to simplifying this to add both sides by 1.

2x - 1 = 8 → 2x - 1 + 1 = 8  + 1

Since we added both sides, we'll now simplify the problem.

Add both numbers.

Lastly, we'll divide both sides of the equation by the same term.

Now, cancel both terms that are in both the numerator and denominator.

If you look back at the fraction, 2 is in  the numerator and denominator, so we'll cancel those terms.

When you cancelled the terms, you should get x = 9/2.

Any questions? Comment below.

Answer:

Hi, there the answer is [tex]x=\frac{9}{2}[/tex]

Step-by-step explanation:

Step 1: Add 1 to both sides.

2x−1+1=8+1

2x=9

Step 2: Divide both sides by 2.

2x /2 = 9 /2

x= 9 /2

Hope This Helps :)

Answer:

x≥10 or x∈[10, ∞)

Step-by-step explanation:

The graph we are given is h(x) = |x-10|+6, which has the shape of a V. The vertex is at (10, 6), so to the right of the vertex, the graph is increasing.

Therefore, the graph increases during the interval x≥10 or x∈[10, ∞).

Answer:

4/7

Step-by-step explanation:

Pr = Expected outcome/Total outcome

Since Total movies = 15

Total outcome = 15

If there are 9 actions movies

Pr(selecting the first action movie) = 9/15

Since the total remaining movies will be 14 (no replacement)

If the second movie is taken, Pr(second action movie) = 8/14 = 4/7

The required a) average is 43%, b) average obesity of the United States is below the average, and c) the United States obesity is moderate.

Statistics is the study of mathematics that deals with relations between comprehensive data.

Here,

a. To determine the best estimate of the average obesity percentage for these countries.
Average = 11.4 + 74.6 / 2 = 86 / 2 = 43%.

b. The United States has an average obesity rate of 33.9%.
Since the average is 43%, so the rate of the united states is below the average.

c. How does the United States Compare to other countries?
Since the rate of obesity of the united states is moderate it lies between the interquartile ranges.

Thus, the required a) average is 43%, b) average obesity of the United States is below the average, c) the United States obesity is moderate.

Learn more about Statistics here:
https://brainly.com/question/23091366

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Answer:what’s the question?

Step-by-step explanation:

Answer:

What grade math is this??

Step-by-step explanation:

Answer:92.1

Step-by-step explanation:

A=78+4.5

A=92.137166941154

A=92.1

Answer:

355

Step-by-step explanation:

185+140= 325

325+20= 355

Answer:

30/185×100=

Step-by-step explanation:

30/140×100=

Answer:

There is no sufficient evidence

Step-by-step explanation:

The hypothesis :

H0 : μ = 436

H1 : μ < 436

Xbar = 433

s = 23

Sample size, n = 28

The test statistic :

(xbar - μ) ÷ (s/√(n))

(433 - 436) ÷ (23/√(28))

-3 ÷ 4.3465914

Test statistic = - 0.690

The Pvalue, calculated from test statistic value, df = n - 1 = 28 - 1 = 27

Pvalue = 0.248

Pvalue > α ; Hence, we fail to reject the null and conclude that there is no sufficient evidence to support the claim that the bags are underfilled

Answer:

With What?

Step-by-step explanation:

Answer:

20 %

Step-by-step explanation:

If she saved 15 dollars and paid 60, the original price was 60+15 = 75

The percent discount is  (original - new) / original = ( 75-60)/75 = 15/75 = .2

Change to percent form = .2 * 100 =20%

Answer:

B.) 20 %

The percentage discount on the shoes is 20 % .

Step-by-step explanation:

She pays 60 dollers and saved 15 dollers on the regular price.

original price of pair of shoes = 60 + 15 = 75

Percentage discount is = original price - new price / original price

= 75 - 60 / 75 = 15 / 75 = 0.2

Percentage discount = 0.2

Change into percentage =0.2× 100 = 20%

Therefore, the percentage discount on the shoes is 20 % .

Answer:

Step-by-step explanation:

cot²(3x)=y

y²-3y+2=0

y²-y-2y+2=0

y(y-1)-2(y-1)=0

(y-1)(y-2)=0

y=1,y=2

cot3x=1

tan 3x=1=tan (π/4)=tan (nπ+π/4)

3x=nπ+π/4=(4nπ+π)/4=(4n+1)π/4

x=(4nπ+1)π/12,n is an integer.

cot 3x=2

tan 3x=1/2

3x=tan^{-1}(1/2)≈26.57°+360n

x≈8.86°+120n

Answer

80 m^2

Step-by-step explanation:

basically 10 x 8 plus the value

Answer:

90

Step-by-step explanation:

Answer:

Sulio needs 28 feet of fencing

Step-by-step explanation:

P= 2l + 2w

Length- 8 ft

Width- 6 ft

Use formula with the given:

2(8) + 2(6)

= 16 + 12

= 28

Therefore, Sulio needs 28 feet of fencing

Hope this helps

Answer:

a, b, c, d

Step-by-step explanation:

Answer:

Translate 2 unit(s) to the right and then reflect over the x-axis

Step-by-step explanation:

You have to move the coordinates of P, Q, and R to the right by 2 so just add 2 to the x coordinate in order to to the first part of the transformation.

After that flip it so that y coordinate of the points are negative to the position they were after translating to the right.

After translating two units to the right, reflect over the x-axis.

A transformation known as a translation involves shifting each point in a figure by the same amount and in the same direction. For instance, this transformation shifts the parallelogram 3 units upward and 5 units to the right. The formula is (x, y) →(x + 5, y + 3).

Given

Simply add 2 to the x coordinate to complete the first phase of the transformation since you must move the coordinates of P, Q, and R to the right by 2.

Then reverse it so that the points' y coordinates are opposite to where they were before being translated to the right.

To learn more about translation refer to:

https://brainly.com/question/1046778

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Answer:

u & v = 8

Step-by-step explanation:

This triangle is a special 45-45-90 triangle!

In a 45-45-90 triangle, to solve for the hypotenuse use the formula

[tex]h=(sidelength)*\sqrt{2}[/tex]

Here we see that 8 is being multiplied by radical 2!

We can prove that 8 is the side length by using the Pythagorean Theorem!

Answer:

Step-by-step explanation:

according to the Pythagoras theorem ,

SohCahToa

Soh - sine is opposite , hypotenuse

Cah -cos is adjacent , hypotenuse

Toa - tan is opposite, adjacent

from the diagram above , the tan is 8/15.

Hope this is helpful ,

have a nice day :-)

Answer:

(a) Set of rational numbers

(b) [tex]\pi + (-\pi) = 0[/tex]

Step-by-step explanation:

Solving (a): Set that is closed under subtraction

The solution to this is rational numbers.

For a set of number to be closed under subtraction, the following condition must be true

[tex]a -b = c[/tex]

Where

a, b, c are of the same set.

The above is only true for rational numbers.

e.g.

[tex]1 - 2 = -1[/tex]

[tex]5 - 5 = 0[/tex]

[tex]\frac{1}{2} - \frac{1}{4} = \frac{1}{2}[/tex]

[tex]4 - 2 = 2[/tex]

The operations and the result in the above samples are rational numbers.

Solving (b): Choice not close under addition[See attachment for options]

As stated in (a)

For a set of number to be closed under subtraction, the following condition must be true

[tex]a -b = c[/tex]

Where

a, b, c are of the same set.

In the given options (a) to (d), only

[tex]\pi + (-\pi) = 0[/tex] is not close under addition because:

[tex]\pi[/tex] is irrational while [tex]0[/tex] is rational

In other words, they belong to different set

Answer:

the answers  is =-0

Step-by-step explanation:

is -0