Expand the single bracket
12(b +3)

Answer:

m=42

Step-by-step explanation:

because all straight line equal 180, we can find angle C

180-98=82

now, all triangles add up to 180. If we add up all the values we can find x

82+6x+8+5x+2=180

92+11x=180

11x=88

x=8

Now, just plug the variable into the angle measure

5(8)+2

40+2

42

The average rate of change of h(t) = -16t ² + 40t + 4 between t = 0 and t = 2 is

(h (2) - h (0)) / (2 - 0) = ((-16×2² + 40×2 + 4) - (-16×0² + 40×0 + 4)) / 2

… = ((-64 + 80 + 4) - 4) / 2

… = 16 / 2

… = 8

h(t) is measured in feet, so the average rate of change is measured in feet per second, so it's 8 feet per second.

Answer:

The sum of the exterior angles of a regular polygon will always equal 360 degrees.

Answer:

369 m²

Step-by-step explanation:

Area of Triangle (sides): 1/2bh

=1/2(bh)

=1/2 (9•16)

=1/2 (144)

=72

There are four sides of the prism:

72•4=288

Area of Square (base): l•w

=9•9

=81

Surface Area = 288+81=369 m²

Answer:

369 m²

Step-by-step explanation:

Answer:

2 + 2 = 4 total earrings in the box.

If you put the earring back into the box before taking out the second, it would be 1/2 * 1/2 = 1/4, 25%.

Answer:

1/6 or 16.7%

Step-by-step explanation:

There are a total of 4 earrings in the box: 2 pairs of earrings + 2 pairs of earrings.

If you return the first earring to the box before removing the second, the answer is 1/2 * 1/2 = 1/4, or 25%.

If you remove the first earring from the package, the response is 1/2 * 1/3 = 1/6, or 16.7%.

Answer:

cost of slices=2x

cost=monthly fee+cost of slices

15x+2x

Step-by-step explanation:

Answer: 3/4

Step-by-step explanation:

Answer:

8x=42 where x is hourly cost

so x = 21/4

6*x = 63/2 $

Step-by-step explanation:

Answer: (3)(−17.25) = −51.75; he withdrew $51.75

Step-by-step explanation:

hope it helped xx

a is incorrect

b is correct

c is correct

d is incorrect

e is incorrect

Answer:

its b

Step-by-step explanation:

Ramona went out with her 3 sisters, they spent $58 plus 9% tax on their meal. They also left 15% tip. If they divided up the bill evenly, how much did each of them spend?

[tex] \frac{58 + 58(9\% + 15\%)}{3} [/tex]

[tex] = \frac{58 + 58(0.09 + 0.15)}{3} [/tex]

[tex] = \frac{58 + 58 \times 0.24}{3} [/tex]

[tex] = \frac{58 + 13.92}{3} [/tex]

[tex] = \frac{71.92}{3} [/tex]

[tex] = 23.97[/tex]

Each of them did spend $23.97

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Answer:

16x-6

Step-by-step explanation:

well in order to do so

u have to multiply 2 to 8x to get 16x

and then, multiply the 2 to -3 to get -6

this is the distributive property form. and that's how u get ur answer

Answer:

The answert is "$0.007 / bottle".

Step-by-step explanation:

Please find the complete question in the attachment file.

[tex]\to R(x) =7.5x^{0.7}[/tex]

The  average income:

[tex]\to A(x) = \frac{R(x)}{x} =7.5 x^{-0.3}[/tex]

The change rate on the average revenue:

[tex]\to A'(x) =7.5(-0.3)x^{-1.3}[/tex]

when 81 bottles were produced , then the rate of change in average revenue

[tex]\to =A'(81)\\\\\to -0.007 \ / \ bottle[/tex]

The average income  is decreasing at rate = $0.007 / bottle

Answer:

The expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

Step-by-step explanation:

Given the sequence

9, 17, 25, 33

a₁ = 9

Determining the common difference

d = 17-9 = 8

d = 25-17 = 8

d = 33-25 = 8

As the common difference between the adjacent terms is same and equal to

d = 8

Therefore, the given sequence is an Arithmetic sequence.

An arithmetic sequence has a constant difference 'd' and is defined by  

[tex]a_n=a_1+\left(n-1\right)d[/tex]

substituting a₁ = 9, d = 8 in the equation

[tex]\:a_n=9+8n-8[/tex]

[tex]a_n=8n+1[/tex]

Therefore, the expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

Answer:

$1.03

Step-by-step explanation:

7/8 = 0.875

then

43 7/8 = 43.875%

43.875/100 = 0.43875

2.35 * 0,43875 = 1.031

Round to the neares cent:

1.03

Step-by-step explanation:

[tex]43 \frac{7}{8} \% \: of \: 2.35 \\ \frac{351}{8} \% \: of \: 2.35 \\ \frac{351}{8 \times 100} \times 2.35 \\ \frac{824.85}{800} = \boxed{\$1.0310625}[/tex]

Answer:

A = 25

B = 65

Step-by-step explanation:

Remark

I hope you mean what is the size of <A? If not leave a note. If I am correct than A and C are complementary (equal 90o) since B is a right angle.

Solution

2x + 1 + 5x + 5= 90            Combine like terms

7x + 6 = 90                         Subtract 6 from both sides

7x = 90-6

7x = 84                               Divide by 7

x = 84/7

x = 12

==========================

Now that is not quite the answer.

A = 2x + 1

A = 2*12 + 1

A  = 25

B = 5x + 5

B = 5*12 + 5

B = 60 + 5

B = 65

Answer:

[tex]\boxed{\boxed{\pink{\sf Option \ C \ is \ correct .}}}[/tex]

Step-by-step explanation:

Given to us is , 5 ( x + 12 ) and we need to find which is its equivalent in the given options .

So,

[tex]\bf = 5 ( x + 12 ) \\\\=\bf 5x + 5\times 12 \\\\=\boxed{\red{\bf 5x + 60 }}[/tex]

Answer:

$13,622.4

Step-by-step explanation:

$1,135.2(what she gets paid per month) *12 (months per year)

Answer:

5/8

Step-by-step explanation:

Given:

In [tex]\Delta ABC, \overline{CA}=\overline{CB}[/tex].

[tex]\overline{CD}[/tex] is an altitude drawn from C to [tex]\overline{AB}[/tex].

To prove:

[tex]\overline{CD}[/tex] bisects [tex]\overline{AB}[/tex].

Proof:

In [tex]\Delta ABC[/tex], [tex]\overline{CD}[/tex] is an altitude drawn from C to [tex]\overline{AB}[/tex].

It means, [tex]\Delta ACD\text{ and }\Delta BCD[/tex] are right angle triangles.

In [tex]\Delta ACD\text{ and }\Delta BCD[/tex],

Hypotenuse : [tex]\overline{CA}=\overline{CB}[/tex]       [Given]

Leg : [tex]\overline{CD}=\overline{CD}[/tex]       [Common]

If the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then by HL postulate both triangles are congruent.

[tex]\Delta ACD\cong \Delta BCD[/tex]        [HL postulate]

[tex]\overline{AD}\cong \overline{BD}[/tex]       [CPCTC]

[tex]\overline{AD}=\overline{BD}[/tex]

It means, point D is the midpoint of [tex]\overline{AB}[/tex].

So, [tex]\overline{CD}[/tex] bisects [tex]\overline{AB}[/tex].

Hence proved.

Answer:  The answer is -3

Step-by-step explanation:

The graph goes down 3 and over 1, since slope is written rise/run, it would be -3/1, which reduces to -3

the answer will be 10 just multiply the numbers

Answer:

yess!!

Step-by-step explanation:

''-''

Answer:

where are questions

Step-by-step explanation:

Answer:

Your answer is going to be a=1

Step-by-step explanation:

First things first, we want all the letters on the left side and all the numbers on the right side. So, you have to get rid of the three. In order to get rid of the three you have to take it away, so A/5=8-3. Then it will become A/5=5. After that you want to have A all by itself so divide it by 5, A/5=5/5. Then it will become A=1. Hope this helps! :)

Answer:

A=25

Step-by-step explanation:

A/5+3=8

A/5+3-3=8-3

see upper side photo

The percentage of 7th grade class who has missed at least a day of school is 60 percentage.

What is percentage?

A percentage is a number or ratio expressed as a fraction of 100.

It is usually represented by using the symbol %

Given data ,

Fraction of 7th grade class that missed at least one day of school = 3 / 5

Now , to calculate the percentage of 7th grade that has missed at least one day of school , we multiply the fraction by 100

Therefore , Percentage = 3 / 5 x 100 %

                                       = 3 x 20 %

                                       = 60 %

Hence , the percentage of 7th grade class who has missed at least a day of school is 60 percentage.

To learn more about percentage click :

https://brainly.com/question/24877689

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