1. Mrs. McKee is thinking of buying solar panels to put on the roof of her new house. The Sunny Solar Company told her that for every 2 panels, she will save $80 on her electric bill.
Make a visual representation ( examples include: a graph, a table, or a picture) for the ratio of the panels to the money that she will save on her electric bill.












(a) Write the ratio of panels to money saved as a reduced fraction. Show your work

I need help ;-;

Answer:

42 books.

Step-by-step explanation:

What the question's really asking is 63 * 2/3, since 2/3 is all that's left after she donates 1/3 of her books. ( 63 / 3 ) * 2= 42.

Therefore, Alice will have 42 books remaining.

Answer:

Step-by-step explanation:

Step-by-step explanation:

( 63 / 3 ) * 2= 42. Therefore, Alison will have 42 books remaining.

Answer:

the answer to this is 7 7/10

Answer:

4th option

Step-by-step explanation:

[tex]5\frac{1}{2}*1 \frac{2}{5}=\frac{11}{2} *\frac{7}{5} =\frac{77}{10}=7\frac{7}{10}[/tex]

A centroid is the intersection point of the medians of a triangle. The required length of DG is 2.4 unit.

A triangle is a two dimensional shape bounded by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.

Given that,

There is a triangle ΔDEF.

The centroid of the given triangle is G.

The medians of the triangle are DC, EB and FA.

CG = (x + 5)

DG = (3x - 2)

Here, CG and DG are parts of the median DC.

Since, centroid of a triangle divides its each medians into the ratio of 2 : 1

in the direction from the vertex to the midpoint of the opposite side.

The following expression can be written for the given problem,

DG/CG = 1/2

=> (3x - 2)/ (x + 5) = 1/2

=> 2(3x - 2) = x + 5

=> 6x - x = 5 + 4

=> x = 9/5

=> x = 1.8

Thus, DG = (3x - 2)

                = 3 × 1.8 - 2

                = 2.4

Hence, the length of DG is given as 2.4 unit.

To know more about triangle click on,

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Answer:

34 units

Step-by-step explanation:

The first time i took the pretest i guessed 17 units and it was incorrect, so when i had to go through with the lesson and take the quiz i guessed 34 units and it was correct.

Answer:

4 + 6m = 70

Step-by-step explanation:

4 is the basket

6m is the total weight of mandarins

70 is total weight

Answer
A is the answer

Answer:

E is the correct choice

Step-by-step explanation:

i hope this helps

Answer:

you can use the slope intercept formula!

y2-y1/x2-x1

Step-by-step explanation:

lets take an example!

the coordinates of 1 point are (2,4) and the other point is (4,6)

so lets plug in (x1,y1) (y1,y2)y2 is the y intercept of second point so it is 6 minus y1 which is 4.

6-4/x2-x1

lets do same for x!

6-4/4-2

lets solve

2/2

=1

the slope is 1

Answer:

2, 3, 4, 5, 6

Step-by-step explanation:

Let's break this inequality into two parts:

Solve Inequality I.

Add 1 to both sides.

Divide both sides by 3.

Solve Inequality II.

Subtract 2x from both sides.

Add 1 to both sides.

Combine these two inequality solutions.

Integer solutions to this inequality would be any integer between 1 (4/3 = 1.3...) and 7, exclusive.

These five numbers are 2, 3, 4, 5, 6.

Answer:

30% increase

Step-by-step explanation:

First, find the difference between the prices:

156,000 - 120,000

= 36,000

Then, find what percent this is of the original price:

36,000/120,000

= 0.3

So, the percent increase is 30%

Answer:

Check below for the process

Step-by-step explanation:

So ill take a) for example. it says that y is equal to 4 times x. y referring to the column y. So in the first row when it says x is one you would have to do 4 times 1 to find what would be in y

Answer:

it would take approximately 8 seconds

Step-by-step explanation:

7x8 + 32 =88 but will take 8 seconds to get 88 with going 11 feet per sec 8×11=88

Answer:

okay I think this is the right answer if not I'm sorry

−576n⁴-1152x⁵

Answer:

F(x)=1x+5

Step-by-step explanation:

Answer:

y = x + 5

Step-by-step explanation:

(-4, 1) and (0, 5)

To find slope, it's [tex]\frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex]

So 5 - 1 / 0 - (-4) -> 4/4 = 1

1 is the slope, so y = x + b.

To find b, plug one of the points into the formula. I'll use (0, 5).

(5) = 1 (0) + b

b = 5

So the equation in slope-intercept form is y = x + 5.

Answer:

-24

Step-by-step explanation:

What u need help with?

Answer: where do you need assistance

Step-by-step explanation:

Answer:

11 ft 3 in

Step-by-step explanation:

The bed of a pickup truck measures 4 feet by 8 feet. To the nearest inch, what is the length of the longest thin metal bar that will lie flat in the bed? 11 ft 3 in.

Answer:

Step-by-step explanation:

the diagonal is the longest so use Pythagoras

c^2 =a^2 + b^2

c^2=4^2+8^2

c^2=16+64

c =[tex]\sqrt{80}[/tex]

c = 8.944 ft

Answer:

4

Step-by-step explanation:

4 is the answer

Answer:

4

Step-by-step explanation:

2/9=x/18

9x=36

x=4

Answer:

i think its 13/45

Step-by-step explanation:

Answer:

30,000​

Step-by-step explanation:

3,000 times 10 is 30,000, therefore 30,000/10=3,000

Answer:

Step-by-step explanation:

3000 of 1/10

3000*0.1=300

Answer:

3 is the answer

Step-by-step explanation:

-(5)+8

-5+8=3

you just change x for 5  and go from there

In this problem, you have to use substitution!

-x + 8, when x = 5

1) Substitute the value of 'x' with '5'

   -x + 8

= -5 + 8

2) Reverse the expression to make it easier to solve [optional]

  -5 + 8

= 8 - 5

3) Solve!

   8 - 5

= 3

Your answer is 3

I hope this helps!

- sincerelynini

Answer:

The equation of perpendicular bisector of the line segment passing through  (-5,3) and (3,7) is: [tex]y = -2x+3[/tex]

Step-by-step explanation:

Given points are:

(-5,3) and (3,7)

The perpendicular bisector of line segment formed by given points will pass through the mid-point of the line segment.

First of all we have to find the slope and mid-point of given line

Here

(x1,y1) = (-5,3)

(x2,y2) = (3,7)

The slope will be:

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{7-3}{3+5}\\m = \frac{4}{8}\\m = \frac{1}{2}[/tex]

The mid-point will be:

[tex](x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\ = (\frac{-5+3}{2},\frac{3+7}{2})\\= (\frac{-2}{2},\frac{10}{2})\\=(-1,5)[/tex]

Let m1 be the slope of the perpendicular bisector

Then using, "Product of slopes of perpendicular lines is -1"

[tex]m.m_1 = -1\\\frac{1}{2}.m_1 = -1\\m_1 = -1*2\\m_1 = -2[/tex]

We have to find the equation of a line with slope -2 and passing through (-1,5)

The slope-intercept form is given by:

[tex]y = mx+b\\y = -2x+b[/tex]

Putting the point (-1,5) in the equation

[tex]5 = -2(-1)+b\\5 = 2+b\\b = 5-2\\b = 3[/tex]

The final equation is:

[tex]y = -2x+3[/tex]

Hence,

The equation of perpendicular bisector of the line segment passing through  (-5,3) and (3,7) is: [tex]y = -2x+3[/tex]

Answer:

1/2^3

Step-by-step explanation:

When an exponent is negative you flip the fraction, in this case from numerator to denominator.

1/2^3

Step-by-step explanation:

Answer:

25% chance

Step-by-step explanation:

Answer:

24 pi

Step-by-step explanation:

you basically need to work out the circumeference

circumference=pi times diameter

if the radius is 12, the diameter is 24

so it would be 24 pi

pls mark as brainliest!!!<3

Given:

[tex]\Delta PQR\cong \Delta XYZ[/tex]

[tex]PQ=3a+4[/tex]

[tex]XY=5a-12[/tex]

To find:

The value of a and PQ.

Solution:

We have,

[tex]\Delta PQR\cong \Delta XYZ[/tex]

[tex]PQ\cong XY[/tex]                            (CPCTC)

So,

[tex]PQ=XY[/tex]

[tex]3a+4=5a-12[/tex]

Isolating variable terms, we get

[tex]3a-5a=-4-12[/tex]

[tex]-2a=-16[/tex]

Divide both sides by -2.

[tex]a=\dfrac{-16}{-2}[/tex]

[tex]a=8[/tex]

Now,

[tex]PQ=3a+4[/tex]

[tex]PQ=3(8)+4[/tex]

[tex]PQ=24+4[/tex]

[tex]PQ=28[/tex]

Therefore, the value of a is 8 and the value of PQ is 28.

Answer:

2.5 Teaspoons of vanilla are needed.

Step-by-step explanation:

If 3 cups of flour is 1.5 teaspoons of vanilla. 1.5 /3=.5 Meaning there is .5 teaspoons of vanilla per cup of flour.

If you have 5 cups of flour   5 x .5= 2.5 (teaspoons)