how to find a and b in the equation below.
3(a+b)=28

Answer:

142.8

Step-by-step explanation:

You can go 20.4 miles per gallon of gas.

You can go 142.8 miles for 7 gallons.

Whole part = 2

Fractional part = 5/18

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

Explanation:

4/9 = 8/18 after multiplying top and bottom by 2

1/6 = 3/18 after multiplying top and bottom by 3

So the fractional parts subtract to:

4/9 - 1/6 = 8/18 - 3/18 = (8-3)/18 = 5/18

The whole parts subtract to

3-1 = 2

Overall, we end up with the mixed number of [tex]2 \frac{5}{18}[/tex]

We can write this as 2 & 5/18 or as 2 5/18

Side note: This mixed number converts to the improper fraction of 41/18.

Answer:

3 divide 7 is 0.4285714285714286 but 7 divide 3 is 2.33 (Never ending)

Answer:

It’s a decimal, (0.42857142857)

Step-by-step explanation:

Answer:

x = 56

y = 15

Step-by-step explanation:

"The sum of two numbers is 71."

x + y = 71

"The difference of the two  numbers is 41."

x - y = 41

Solve the system:

From the first eq.

x = 71 - y

Replacing this value in the second eq.

(71-y) - y = 41

71 - 2y = 41

71 - 41 = 2y

30 = 2y

y = 30/2

y = 15

From the second eq.

x - y = 41

x - 15 = 41

x = 41 + 15

x = 56

Check:

from the first eq.

x + y = 71

56 + 15 = 71

[tex]300 {ft}^{2} [/tex]

Step-by-step explanation:

d=20

r=10

π=3

[tex]a = \pi{r}^{2} [/tex]

[tex]a = (3) {(10)}^{2} [/tex]

[tex]a = 300[/tex]

Answer:

A = 300 ft^2

Step-by-step explanation:

First we need to  find the radius

r = 1/2 d

The diameter is 20

r = 1/2(20) = 10

A =pi r^2

We are using 3 for pi

A = 3( 10)^2

A = 3 * 100

A = 300 ft^2

Answer:

Step-by-step explanation:

1. 132+0.11

2. Answer is 1200

Entering it in Your Calculator

(132 Divided by 0.11)

= 1200

Answer:

Below.

Step-by-step explanation:

Part A.

m < RPB = 180 - 115 = 65 degrees.

So the m < x =  180 - 65 - 62

= 53 degrees.

Part B.

First line of Part A:

M < RPB + m < PRD = 180 degrees ( Internal angle between 2 parallel lines are equal).

Second line:

The 3 angles x, 62 and 65 degrees  are all on the same straight line (AB), so they sum to 180 degrees.

Answer:

The only problem was that now it costs more so not really

Step-by-step explanation:

I think its an opinion question

Answer:

  50 miles

Step-by-step explanation:

Multiply the given scale numbers by 1/2 to find your answer:

  1/2 in = 100 mi

  (1/2)(1/2 in) = (1/2)(100 mi) . . . . multiply the ratio values by 1/2

  1/4 in = 50 mi

Answer: 54.48

Just copy n paste

Answer:

c

Step-by-step explanation:

hope this helps

Answer:

7.5.

Step-by-step explanation:

A square has 4 equal sides so:

4x =  9  + 10 + 11    where x is the length of one side of the square.

4x = 30

x = 7.5.

Answer:

(2^102•5^102)

Step-by-step explanation:

(10)^102 = (2•5)^102 = 2^102 • 5^102

Answer:

d

Step-by-step explanation:

smallest slope

Answer:

48%

Step-by-step explanation:

24 is almost 25 which is half of 50 you it would be 48%, hope this helps!:)

Step-by-step explanation:

sure, this is one of the simplest things to do in math : the absolute value. it just delivers the positive value of a value.

if the value is already positive, the result is the same positive value. if the value is negative the result is the corresponding positive value.

really, that is all that is there to it.

so,

|11| = 11

|-12| = 12

no big magic, no mystery, no tricks or formulas to know.

it just is ...

Answer:

I'm not too sure which one you need, so choose what answer needs to go in the box!

JL= 44.5

JK=23.3

KL=23.3

Step-by-step explanation:

Since JK and KL are equal to eachother, we have to find the missing variable through them. You want to choose one side to have the variable number and the other side for the normal numbers. I can't really explain this next bit, so I'll show the math below:

V N

4x - 10.7 = 2x + 6.3

+10.7. +10.7

_________________

4x = 2x + 17

-2x -2x

2x = 17

So, once there is only one variable number and one normal number left, what do you do? You divide the variable by the number it's worth and carry the division to the normal number.

2x = 17

÷2. ÷2

_______

x = 8.5

So, 8.5 is our number we need. We then just insert it into all the equations to get the numbers.

4 × 8.5 = 34

34 - 10.7 = 23.3

Since JK and KL are equal, they are both 23.3.

5 × 8.5= 42.5

42.5 + 2 = 44.5

JL=44.5

Answer:

Below in bold.

Step-by-step explanation:

a) the curve moves up 5 units, so

the vertex is (2, -3 + 5)

= (2, 2).

b) - f(x) is the image of f(x) in the x-axis so

The vertex is at (2, 3).

Answer:

  D.  f(x) = -6x^3 -5x^2 +21x

Step-by-step explanation:

The given zeros mean the function has factors ...

  (x -(-7/3))(x -3/2)(x -0)

Multiplying by 6, we can write this as ...

  (3x +7)(2x -3)(x) = 6x^3 +5x^2 -21x

And multiplying by -1 gives ...

  -6x^3 -5x^2 +21x . . . . . matches choice D

__

Additional comment

The product of factors will be zero when f(x) = 0. This means we can multiply or divide by any convenient factor and the product will remain zero. Effectively, we have multiplied our original factorization by -6 to make the expression match one of the given forms. When we write this final expression as the function f(x), it remains true that the given zeros are zeros (x-intercepts) of f(x).

Answer:

21

Step-by-step explanation:

his ratio of shots from the first game would be 14:40 or 7:20

so if he made the same ratio from 60 shots it would be

21:60

Answer:

25% of 2000= 500

25% of 10000= 2500

Step-by-step explanation:

Answer:

A. Angle E = 30° and angle D = 60°

Step-by-step explanation:

tan(E) = Opposite/Adjacent

tan(E) = 5/8.66

E = tan^-1(5/8.66)

E = 30°

There's 180° in a triangle, and this is a right triangle.

30 + 90 + x = 180

120 + x = 180

x = 180 - 120

x = 60

D = 60°

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

Explanation:

Refer to the drawing below. Locate 5 on the y axis. Draw a horizontal line extending as far as you can to the left and right.

This horizontal line crosses the parabola in two locations. From those two locations, drop a vertical line straight down until you reach the x axis. You should reach x = -4 and x = -6

This shows that f(-4) = 5 and f(-6) = 5.

Phrased another way: the points (-4,5) and (-6,5) are on the parabola.

Answer:

1162 tickets will need to be sold

Step-by-step explanation:

8134 / 7 = 1,162

Answer:

38

Step-by-step explanation:

85%=.85

So 45 × .85 = 38.25

38 shots he made.

Hope this helps

Work Shown:

85% = 85/100 = 0.85

85% of 45 = 0.85*45 = 38.25

Rounding to the nearest whole number, we get the result 38

As a check, 38/45 = 0.8444 approximately which converts to 84.44% and that's fairly close to 85%. If we tried 39, then 39/45 = 0.8667 = 86.67% which is a bit too high.

36.)B

37.)C

38.)C

39.)C

40.)A

hoped that helped :)

Answer: [tex]f(x) = 200(\frac{1}{2})^{x}[/tex]

Step-by-step explanation:

If you plug in the x value(s) to each equation, you can see that [tex]f(x) = 200(\frac{1}{2})^{x}[/tex] is the correct answer because each y value matches the y value on the table. Therefore, [tex]f(x) = 200(\frac{1}{2})^{x}[/tex] is the correct answer.

Answer:

Step-by-step explanation:

Find the slope:

Going from (-4,5) to (-2,-1):

Rise = (-1 - 5) = -6

Run = (-2-(-4) =  2

Slope = Rise/Run = (-6/2) = -3

y = mx + b

y = -3x + b

Find b by using either given point.  I'll use (-2,-1)

y = -3x + b

-1 = -3(-2) + b

b = -7

See attachment.

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y = -3x-7