Sara received 73 votes, Ben received 23 fewer than Sara. How many students voted? How many votes did Ben receive?

Answer:

Step-by-step explanation:

Perimeter = 32

length = x - 3

width = 2x + 7

Perimeter = 2* Length + 2* width

Perimeter = 2*(x-3) + 2(2x + 7) = 32         Remove the brackets.

2x - 6 + 4x + 14 = 32                                  Combine

6x + 8 = 32                                                 Subtract 1 from both sides

6x = 32 - 8

6x = 24                                                       Divide by 6

x = 24/6

x = 4

So the base = x - 3 = 4 - 3 = 1

The height  = 2*4 + 7 = 8 + 7 = 15

Answer: To add fractions, find the LCD and then combine.

Exact Form:

7 /6

\(￣︶￣*\)) Hope this helps!!

Answer:

7/6

Step-by-step explanation:

2/3+1/2

4/6+3/6

4+3/6

7/6

Answer:

5/3

Positive 5 over 3

Step-by-step explanation:

(-2)(-5/6)​

10/6

5/3

Answer:  B) f(n) = 30 - 8(n - 1)

Step-by-step explanation:

Explicit formula is of the form: [tex]a_n=a_1+d(n-1)[/tex]    where

Given: f(1) = 30  --> this represents the first term [tex]a_1[/tex] = 30

          f(n - 1) - 8   --> this means the previous term minus 8 thus d = -8

[tex]a_n[/tex] = 30 + (-8)(n - 1)

    = 30 - 8(n - 1)

Answer:

B. f(n) = 30 – 8(n – 1)

Step-by-step explanation:

got it right on test

Answer:

A car is traveling down a highway at a constant speed, described by the equation d = 65t, where d represents the distance, in miles, that the car travels - 1138… ... How many miles does it take the car to travel 26 miles at this speed? c. ... the distance, in miles, that the car travels at this speed in t hours.

Step-by-step explanation:

Hope this helps

Answer:

I’m not a hundred percent it’s correct

Step-by-step explanation:

I used the online book to get the answer.

Hope this helps

Using an exponential equation, it is found that the account will enable the person to purchase the computer after 153 months.

An exponential equation of increase is modeled by:

[tex]A(n) = A(0)(1 + r)^n[/tex]

In which

In this problem:

Then:

[tex]A(n) = A(0)(1 + r)^n[/tex]

[tex]A(n) = 200(1 + 0.006)^n[/tex]

[tex]A(n) = 200(1.006)^n[/tex]

You need $500 to purchase the computer, then:

[tex]A(n) = 200(1.006)^n[/tex]

[tex]500 = 200(1.006)^n[/tex]

[tex](1.006)^n = \frac{500}{200}[/tex]

[tex](1.006)^n = 2.5[/tex]

[tex]\log{(1.006)^n} = \log{2.5}[/tex]

[tex]n\log{1.006} = \log{2.5}[/tex]

[tex]n = \frac{\log{2.5}}{\log{1.006}}[/tex]

[tex]n = 153[/tex]

The account will enable you to purchase a computer after 153 months.

A similar problem is given at https://brainly.com/question/14773454

Answer:

8b and 80

Step-by-step explanation:

Answer:

The expression that represents the area of this rectangle is 8b

When b = 10, the area of the rectangle is 80 square units.

Step-by-step explanation:

Answer:

Step-by-step explanatio11n:

116

Step-by-step explanation:

Its additive inverse!

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-3,-6) and (-3,-2)

The distance is

[tex]d = \sqrt{( { - 3 + 3})^{2} + ({ - 6 + 2})^{2} } \\ = \sqrt{ {0}^{2} + ({ - 4})^{2} } \\ = \sqrt{16} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

We have the final answer as

Hope this helps you

To find the area of the larger figure, let's multiply the length by the width.

9 ft * 4 ft = 36ft^2

Let's do the same thing with the smaller figure.

3 ft * 4 ft = 12ft^2

Let's add the area of both figures together.

36ft^2 + 12ft^2 = 48ft^2

Answer:

6(x + 4)

opening brackets

=6x+24 is the answer

Step-by-step explanation:

Answer:

2 years

Step-by-step explanation:

If you have $9000 in the saving account, and you take $500, you are left with:

$9000 - $500 = $8500

in one year you will have 3% more of the 8500 which is:

8500/100*3 = $255

so in one year the number on your savings account is:

8500 + 255 = $8755

and by the next year you will have 3% more of the 8755 which is:

8755/100*3 = $262.65

so in two years the number on your savings account is:

8755 + 262.65 = $9017.65

which is a little bit more than the $9000.

so it will take 2 years until the calance again reaches $9000

Please mark braniliest if this reaches 2 answers because I want to get to Expert ;w;

x = Edna's age

x + 1 = Ellie's age

x + 2 = Elsa's age

the sum of their ages = 114

Let's set all of their ages equal to 114

x + x + 1 + x + 2 = 114

Combine like terms

3x + 3 = 114

Subtract 3 from both sides

3x = 111

Divide both sides by 3

x = 37

Edna's age = x = 37 years old

Ellie's age = x + 1 = 37 + 1 = 38 years old

Elsa's age = x + 2 = 37 + 2 = 39 years old

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

[tex]6x+3=38-x[/tex]

Subtract 3 from both sides:

[tex]6x+3-3=38-x-3[/tex]

[tex]6x=-x+35[/tex]

Add x to both sides:

[tex]6x+x=-x+35+x[/tex]

[tex]7x=35[/tex]

Divide 7 on both sides:

[tex]\frac{7x}{7}=\frac{35}{7}[/tex]

[tex]x=5[/tex]

Answer:

lt is rational number .

Answer:

$1680

Step-by-step explanation:

make use of the simple interest formula:

PRT/100

P is the principle ($8000)

R is the rate of interest (7%)

T is the time (3)

= 8000*7*3 / 100

1680

Answer:

A) 15x +79  = z

B) 15x +79 + 5x + 61 = 180

20x + 140 = 180

20x = 40

x = 2

Then using equation A)

A) 15 * 2 + 79 = z

30 + 79 =z

z = 109

Step-by-step explanation:

Answer:

4.5 times 10 Superscript 6 light bulbs

Step-by-step explanation:

I took the test (:

I think you want 8/3 or 2.666666 or mabye 37%

Answer:

a) Is multiplied by the original exponent.

Step-by-step explanation:

the power rule works like this:

you want to find the derivative of ax ⁿ

where n is the exponent and a is the coefficient

the derivative would equal (n ⋅ a)xⁿ⁻¹

e.g. you want to find the derivatives of 5x⁴

f'(x) = (4 ⋅ 5)x⁴⁻¹ = 20x³

f''(x) = (3 ⋅ 20)x³⁻¹ = 60x²

f'''(x) = (2 ⋅ 60)x²⁻¹ = 120x

f''''(x) = (1 ⋅ 120)x¹⁻¹ = 120

Answer:

boxes of cereal and bags of pretzels

Step-by-step explanation:

I just took the test :)

Answer:

A Box of cereal and pretzels

Step-by-step explanation:

The unit price for each is under 3.99 per item.

Answer:

-20 - 10 = -30

Answer: -30

Step-by-step explanation: basically -20 + -10 = -30

Answer:

C > –½

Step-by-step explanation:

10C + 4 > 2C

The above inequality can be solved as follow:

10C + 4 > 2C

Collect like terms

4 > 2C – 10C

4 > – 8C

Divide both side by –8

Note: the inequality sign will change since we are dividing by a negative value.

4/ –8 < –8C/ –8

– ½ < C

Thus,

C > –½