Simplify each algebraic expression.
2a +3(a +7)–(3a +3)

Answer:

Number of extra boxes= 120

Step-by-step explanation:

Giving the following information:

Batteries per box= 50

Number of batteries= 18,000

Number of batteries in ecxess= 6,000

We need to calculate the number of boxes required to cover the 6,000 extra batteries:

Number of extra boxes= number of batteries / batteries per box

Number of extra boxes= 6,000 / 50

Number of extra boxes= 120

Answer:

The route across the park is 40 meter shorter than the route around its edges.

Step-by-step explanation:

We have to calculate the distance for both routes

As the route around the edges is straight,  we have to find the sum of length of both edges

Let [tex]R_E[/tex] be the distance of route around edges

[tex]R_E = 80+60 = 140\ meters[/tex]

Now we know that a diagonal divides a rectangle in two right angled triangles in which the diagonal is the hypotenuse.

We can use Pythagoras theorem to find the length of the diagonal

So,

[tex]H^2 = P^2 + B^2[/tex]

In the given scenario

P = 60

B = 80

Now

[tex]H^2 = (60)^2 + (80)^2\\H^2 = 3600+6400\\H^2 = 10000\\\sqrt{H^2} = \sqrt{10000}\\H = 100\ meters[/tex]

In order to calculate that how much shorter is the path across the park, we have to subtract the distance across park from the distance across edges.

[tex]= 140-100 = 40\ meters[/tex]

Hence,

The route across the park is 40 meter shorter than the route around its edges.

Answer:

The answer is B, -5 is a rational number and integer! :)

Step-by-step explanation:

Answer: My guess is integer only

Step-by-step explanation:

Answer:

14 radical 2

Step-by-step explanation:

For hypotenuses of isosceles triangle u just multiply by radical two

Answer:

It should be true, because without an output or input it would be an alien device that doesn't need any energy to work, making it true, also i dont really know if its true

Answer:

c - because if u divide u will get your answer sorry if im not makeing sense

Answer:

x = 8

Step-by-step explanation:

Two tangent segments to a circle from the same external point are congruent, thus

WP = WQ , that is

3x - 6 = x + 10 ( subtract x from both sides )

2x - 6 = 10 ( add 6 to both sides )

2x = 16 ( divide both sides by 2 )

x = 8

Answer:

80*5.2= 416

D: 416 miles

Answer:

Mrs. Walker will need at least 96 stickers in order to give each of her students at least 3 stickers each.

Step-by-step explanation:

32*3=96.

96 is the minimum

Answer:

m + 10/100(m)

Step-by-step explanation:

So m represents the number of members in the club last year.

A 10% increase of the members = [tex]\frac{10}{100} * m[/tex] = 0.1m

Hence the number of members in the club this year = m + 0.1m

Answer:

i would reword this to 6x+7=61

Step-by-step explanation:

So.  

move the 7 to the right side of the equation but as an opposite number so in this case its gonna be a negative

61-7=54

then you divide the number and get your missing numbers

54/6=9

d=9

plug it in

6(9)+7=61

Answer :

Sum = 2x-7 + (-2x) and equivalent expression = -7

Step-by-step explanation:

First number is (2x-7) and other number is opposite of 2x i.e. (-2x).

We need to write the sum of 2x - 7 and the opposite of 2x

Opposite of 2x is (-2x)

Sum means to add the number :

2x-7 + (-2x)

Removing parentheses,

2x-7 - 2x

Taking like terms together,

2x-2x-7= 0-7

= -7

Hence, the answer is -7.

Answer:

The equation in slope-intercept form is y = 6x + 5

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

Let us solve the question

∵ A line has a slope of 6

∵ m is the slope of the line

∴ m = 6

∵ The line has a y-intercept of 5

∵ b is the y-intercept

∴ b = 5

→ Substitute the values of m and b in the slope-intercept form

∵ y = m x + b

∴ y = 6x + 5

∴ The equation in slope-intercept form is y = 6x + 5

Answer:

Step-by-step explanation:

Given

Answer choices:

A. Nine times the sum of a number and three is less  than six times the same number decreased by  twelve.

B. The product of nine and a number increased by three is less than the product of six and the same  number decreased by twelve.

C. Nine multiplied by the sum of a number and three is greater than the product of six and the ...

Answer:

y = 4x - 14

Step-by-step explanation:

Use point-slope form and substitute the values.

y - 2 = 4(x - 4)

y - 2 = 4x - 16

y = 4x - 14

Answer:

I think it is 8

Step-by-step explanation:

Im sorry if it is wrong :(

Answer:

f (8) = 30

Step-by-step explanation:

[tex]f(x)=4x-2\\\\f(8)=4(8)-2\\\\f(8)=32-2\\\\\boxed{f(8)=30}[/tex]

Hope this helps.

Answer:

6 is the answer

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

9x-7 = 7x-3

9x-7x = 2x

2x -7 = -3

   +7   +7

2x=4

x=2

Answer:

-2w-20

Step-by-step explanation:

distribute => 4w-20-6w = -2w-20

Answer:

-2w - 20

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

4(w - 5) - 6w

Step 2: Simplify

Answer:

24 inches

Step-by-step explanation:

2 x 12 = 24

Answer:

32.01 ft

Step-by-step explanation:

Step one:

given data

Volume of 1207T ft3.

the radius is 6 ft

Step two:

The volume of a cone is given as

[tex]V=1/3 \pi r^2h[/tex]

substitute

1207= 1/3*3.142*6^2*h

1207= 37.704h

divide both sides by 37.704

1207/37.704= h

h= 32.01 ft