Multiply the polynomials. (3x − 9)(5x + 1)

Answer:

x=6

Step-by-step explanation:

Step-by-step explanation:

[tex] = 2\pi \times r = 2\pi \times \frac{16}{2} = 2\pi \times 8 = 50.265 = 50.27[/tex]

Answer:

x=18.7

Step-by-step explanation:

x+17+5x+10+4x-34=180

10x-7=180

10x=187

x=18.7

all angles in a trianlge add up to 180 degrees

Answer:

x = 17

Step-by-step explanation:

Since all angles of a triangle equal to 180 we can make this equation:

x + 17 + 6x + 10 + 4x - 34 = 180

11x - 7 = 180

11x = 187

x = 17

Answer:

x=–/-4

Step-by-step explanation:

Let's solve your equation step-by-step.

5(2)(1)+4(x+1)=x+2

Step 1: Simplify both sides of the equation.

5(2)(1)+4(x+1)=x+2

5(2)(1)+(4)(x)+(4)(1)=x+2(Distribute)

10+4x+4=x+2

(4x)+(10+4)=x+2(Combine Like Terms)

4x+14=x+2

4x+14=x+2

Step 2: Subtract x from both sides.

4x+14−x=x+2−x

3x+14=2

Step 3: Subtract 14 from both sides.

3x+14−14=2−14

3x=−12

Step 4: Divide both sides by 3.

3x

3

=

−12

3

x=−4

Answer:

x=−4

Answer:

72 cm³ (see below)

Step-by-step explanation:

First, refer to the volume formula:

V = l · w · h

If you plug in all of your values and simplify, you'll get the volume:

l = 6 cm

w = 3 cm

h = 4 cm

V = (6) (3) (4)

V = 18 (4)

V = 72 cm³

Because this is volume, the measurements are units cubed, meaning it's cm³.

Answer:19.2

Step-by-step explanation:

Answer: Domain:

{

1

,

−

2

,

−

1

}

{

1

,

-

2

,

-

1

}

Range:

{

−

2

,

0

,

2

,

3

}

Step-by-step explanation: The domain is the set of all the values of

x

x

. The range is the set of all the values of

y

y

.

Answer:

D

Step-by-step explanation:

By definition, π is defined to be the ratio of a circle's circumference to its diameter. In other words:

[tex]\displaystyle \pi=\frac{C}{d}[/tex]

In fact, if you multiply both sides by the diameter d, you can see that:

[tex]C=\pi d[/tex]

Which is the formula for circumference you've been commonly taught.

Answer:

c

Step-by-step explanation:

because all the x values in c are different

Answer:

!! solved as -7(2y)= -12(-3x)

x= negative 1.943333

Step-by-step explanation:

Answer:

Step-by-step explanation:

Cross multiply on both sides

= (x + 1) (21) = 15(x + 3)

= 21x + 21 = 15x + 45

Bringing like terms on one side

21x - 15x = 45 - 21

= 6x = 24

x = 24/6 = 4

Option A is the correct answer

[tex] =\tt (a) \: 4[/tex]

[tex] = \frac{x + 1}{x + 3} = \frac{15}{21} [/tex]

[tex] =( x + 1 )\times 21 = (x + 3 )\times 15[/tex]

[tex] = 21x + 21 = 15x + 45[/tex]

[tex] = 21x + 21 - 15x = 45[/tex]

[tex] = 6x + 21 = 45[/tex]

[tex] = 6x = 45 - 21[/tex]

[tex] = 6x = 24[/tex]

[tex] = x = \frac{24}{6} [/tex]

[tex] =\color{plum} \bold{x = 4}[/tex]

Let us now place 4 in the place of x and see if the substitution is equivalent to [tex] \frac{15}{21} [/tex] :

[tex] = \frac{4 + 1}{4 + 3} = \frac{15}{21} [/tex]

[tex] = \frac{5}{7} = \frac{15}{21} [/tex]

[tex] = \frac{5}{7} = \frac{15÷3}{21÷3} [/tex]

[tex] = \frac{5}{7} = \frac{5}{7} [/tex]

Therefore, the value of x in this proportion = 4

Answer:

1

Step-by-step explanation:

Answer:

B 4 1/4

Step-by-step explanation:

Answer:

Its B. 4 1/4

Step-by-step explanation:

How it helps!

Answer:

At least 75% of these commuting times are between 30 and 110 minutes

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].

In this question:

Mean of 70 minutes, standard deviation of 20 minutes.

Since nothing is known about the distribution, we use Chebyshev's Theorem.

What percentage of these commuting times are between 30 and 110 minutes

30 = 70 - 2*20

110 = 70 + 2*20

THis means that 30 and 110 minutes is within 2 standard deviations of the mean, which means that at least 75% of these commuting times are between 30 and 110 minutes

Answer:

ROS = 225°

Step-by-step explanation:

The four corners of the squares add up to 360°

Hope it helps you

Angles at a point add up to [tex]360^o[/tex]. The measure of [tex]m\angle ROS[/tex] is [tex]225^o[/tex]

Given that:

[tex]m\angle QOS = 46^o[/tex]

[tex]m\angle POR = 61^o[/tex]

[tex]m\angle POQ = 28^o[/tex]

The 4 angles (i.e. QOS, POR, POQ and ROS) are all angles at a point (i.e. point O).

This means that we can apply the angle at a point theorem.

The theorem is represented as:

[tex]m\angle QOS +m\angle POR +m\angle POQ + m\angle ROS = 360^o[/tex] --- i.e. angles at a point add up to [tex]360^o[/tex]

So, we have:

[tex]46^o + 61^o + 28^o + m\angle ROS = 360^o[/tex]

[tex]135^o + m\angle ROS = 360^o[/tex]

Collect like terms

[tex]m\angle ROS = 360^o -135^o[/tex]

[tex]m\angle ROS = 225^o[/tex]

Hence, the measure of [tex]m\angle ROS[/tex] is [tex]225^o[/tex]

Learn more about angles at:

https://brainly.com/question/15767203

Answer:

A= 2pirh +2pir^2

972=2 x pi x x x 5x + 2 x pi x x^2

972= 31.4x^2 + 6.28x^2

972=37.68x^2

x^2= 972/37.68

x^2=25.796

x= 25.796 square root

x= 5

The value of x is 5 cm.

A cylinder is a three-dimensional figure that has a radius and a height.

The volume of a cylinder is given as

Example:

The volume of a cup with a height of 5 cm and a radius of 2 cm is

Volume = 3.14 x 2 x 2 x 5 = 62.8 cubic cm

We have,

The surface area of a cylinder = 972 cm²

The surface area of a cylinder.

= 2πrh + 2πr²

Diameter = 2x

Radius = x

Height = 5x

Now,

2πrh + 2πr² = 972

2π (rh + r²) = 972

2π (5x² + x²) = 972

2π x 6x² = 972

6x² = 972/(2 x 3.14)

6x² = 154.78

x² = 25.79

x = √25.79

x = 5.08

x = 5

Thus,

x value is 5.

Learn more about cylinder here:

https://brainly.com/question/15891031

#SPJ2

Answer:

Step-by-step explanation:

Brayden's car travels 37.1 miles per gallon.

Dylan's car travels 48.4 miles/(2 gallons) = 24.2 miles per gallon.

37.1 - 24.2 = 12.9

Dylan's car gets 12.9 miles per gallon less than Brayden's car.

UmmmmAnswer:

Step-by-step explanation:

Answer:HI

Step-by-step explanation:HI

Answer:

10) Total Discount = $15 dollars; New Amount = $60 dollars.

11) Total Markup = $3,750 dollars; New Amount = $28,750 dollars.

12a) Percent Increase from $100 to $150: 50% increase.

12b) Percent Decrease from $150 to $100: 33.33% decrease.

Step-by-step explanation:

I would be more than happy to show my work, but I see that you have to submit your test soon, so I will just leave it at this for now. If you need any clarification, I am more than happy to help. Feel free to give me Brainliest if you feel this helped! Have a good day, and good luck on your test. :)

Answer:

7,6

Step-by-step explanation:

So in total Peyton must buy 10 items. Since she's already buying 4 drinks. We need to find the amount of tacos the max amount of tacos she can buy are 7 tacos and the minimum is 6 because if we bought less than 6 it wouldn't have met the criteria for 10 items minimum. And if we passed 7 tacos it would go past the limit of how much money Peyton has. I hope this helped:)

Answer:

Yes

Step-by-step explanation:

3(x+5.50)-3

3x+16.50)-3

-3(3x+16.50)

Answer:

[tex]r = 107 \\ q + s = 180 - 107 \\ = 73 \\ q = 73 \div 2 \\ = 36.5[/tex]

Answer:

The two triangles are related by AAS, so the triangles are congruent.

Step-by-step explanation:

Two angles and a non-included side of one triangle are congruent to corresponding two angles and an included side in the other triangle. Therefore, we can conclude that the two triangles are related by the AAS Congruence Criterion. Hence, both triangles congruent to each other.

Answer:

2 fractions are equal

Step-by-step explanation:

We say that two quantities are proportional if one is always the same multiple of the other.

Say a recipe calls for 2 cups of flour to 3 eggs. That proportion, 2 cups flour : 3 eggs, will always stay the same, no matter how many serving we make. If we make 2 servings, we'd double to 4 cups and 6 eggs, but that wouldn't change the proportion. After all,

[tex]\frac{2}{3}=\frac{4}{6}[/tex]

Answer:

A. Cendric is correct because he used the inverse of subtraction and added 4.5

Step-by-step explanation:

To solve for x, all we needed to do was to make x stand alone. To do this, we have to apply addition property of equality. This means we would add 4.5 to both sides for the equation to balance. Thus, we would have z standing alone which equals 3.

Therefore, Cendric was correct because he used the inverse of subtraction of -4.5, which is 4.5 that was later added to both sides of the equation.

Answer: D 35/100

Step-by-step explanation: if you divide 35/100, the answer would be .35, which is the decimal form of 35%.

Answer:

138cm

Step-by-step explanation:

there are 2 sides equal to 27

27 + 27 = 54

there are 6 squares = to 14

6 × 14 = 84

54 + 84 = 138