The electricity bill of Sarah’s house for the last month was $60, while for this month it is $120. If p is the percent increase in the amount, which proportion can be used to calculate p?

Andrew's charges is an illustration of a linear function

The equation that represents the situation is [tex]\mathbf{y = 12x +45}[/tex]

From the table (see attachment), we have the following points

(x,y) = (1,57) and (2,69)

Start by calculating the slope (m)

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 -x_1}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{69 - 57}{2 -1}}\\[/tex]

Simplify fraction

[tex]\mathbf{m = \frac{12}{1}}[/tex]

Divide

[tex]\mathbf{m = 12}[/tex]

The equation is then calculated using:

[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]

So, we have:

[tex]\mathbf{y = 12(x - 1) + 57}[/tex]

Open brackets

[tex]\mathbf{y = 12x - 12 + 57}[/tex]

Evaluate like terms

[tex]\mathbf{y = 12x +45}[/tex]

Hence, the equation that represents the situation is [tex]\mathbf{y = 12x +45}[/tex]

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Answer:

5.5

Step-by-step explanation:

5.5 times 2 equals 11 minus 2 equals 9

5.5

Step-by-step explanation:

Answer:

5/12 of a gallon

Step-by-step explanation:

5 divided by 12 is 5/12

Answer:

hope it helps.

stay safe healthy and happy.

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Explanation:

The exterior angle of 142 leads to an interior angle of 180-142 = 38. The adjacent interior/exterior pair of angles always add to 180. So 38+142 = 180. These two angles are supplementary, which is another way of saying they form a straight line.

Since 38 is one of the acute interior angles, the other acute interior angle is 90-38 = 52. The rule is that the acute interior angles of any right triangle always add to 90 degrees (i.e. the angles are complementary).

Lastly, the remaining interior angle is the 90 degree angle itself. All right triangles have exactly one angle that is 90 degrees. The term "right angle" is often used in place of "90 degree angle".

Step-by-step explanation:

you multiplie elements in order

first you multiple 2v by 4,than 2v by -v,than -q by 4 and finally -q by -v

it will be 8v+2v^2-4q+qv

Answer:

thirty-six of a miles or [tex]36[/tex] miles of a miles <--- I didn't know if you meant regular miles

Step-by-step explanation:

We can convert 1 hour to 60 minutes

[tex]60\div20=3[/tex]

Since it is [tex]3[/tex] [tex]times[/tex] the time and we assume her rate is consistent we multiply 3 by 12

[tex]3\cdot12=36[/tex] of a miles

thirty-six of a miles

Brainliest please :)

Answer:

Vanessa walks her puppy for 36 miles in 1 hour.

Step-by-step explanation:

She walks 12 miles in 20 minutes

1 hour = 60 minutes

There are 3 - 20 minute periods so she walks her puppy 12(3) miles, or 36 miles

-Chetan K

123 / 5

100 / 5 = 20

20 / 5 = 4

3 = remainder

Answer:

$ 14

Step-by-step explanation:

12 - 5 = 7 = half weekly allowance

Answer:

1. the slope is 3/1 = 3

2. the y-intercept is 2

Step-by-step explanation:

hope this helps :)

Answer:

25% increase in records

Step-by-step explanation:

25% = 1/4

1/4 of 12 = 3

she got 3 new records, therefore a 25% increase

Answer:

After the decimal point (left to right) are the tenths, hundredths, thousandths, ten-thousandths, and so on. The value of the 9 would be 9 hundredths.

:)

Total area of the rectangle = 12 × 24 = 288

The non-shaded regions make up a semicircle with radius 12, so the non-shaded region has area = 1/2 × π × 12² = 72π

The area of the shaded region is then 288 - 72π.

The probability of picking a point in the shaded region is then

(288 - 72π) / 288 ≈ 0.215

Answer:

Step-by-step explanation:

total # of families=15

families that own 0 cars=2

families that own 1 cars=5

families that own 2cars=4

families that own 3 cars=3

families that own 4 cars=1

so 2+5+4+3+1=15

total# of families/ sum of cars = 15/15=1

Step-by-step explanation:

the most usual firm of line equation is

y = ax + b

a is the slope of the line and is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-interception (the bake of y when x = 0).

once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and solve for b.

the slope a :

x changes by +3 (from 3 to 6)

y changes by +8 (from -1 to 7)

so, the slope is +8/+3 = 8/3

our line equation now looks like

y = (8/3)x + b

let's simply use the first point

-1 = (8/3)×3 + b

-1 = 24/3 + b = 8 + b

-9 = b

and the full line equation is

y = (8/3)x - 9

Answer:

5=2x-9

14=2x

x=7

Hope This Helps!!!

Answer:

make me brainliest

Step-by-step explanation:

1: x ≤ 18/5

2: x > 4

3: x  ≤ 4

4: x < 12

5: x > 1/4

6: x ≤ 2

7: x ≤ 5

8: x > 10

9: x < 5/2

10:7/3x^2 + 4/3x + 12

11: 2 < x < 15

12:25/2 < x ≤ 45/2

Answer:

I think it is 1 4/159

Step-by-step explanation:

Answer:

Roopa: 10

Amita: 14

Step-by-step explanation:

5x+7x=24

12x=24

x=2

5x=10

7x=14

Answer:

Step-by-step explanation:

5/7*24

=5/7*24

=17.14 apples

Answer:For this case we have that by definition it is fulfilled:

Where:

a: It is the base

b: It is the exponent

So, if we have the following expression:

-6 to the power of 4, is equivalent to:  

So we have to:

-6: It is the base

4: It is the exponent

-6: It is the base

4: It is the exponent

Step-by-step explanation:

A sector is a part of a circle bounded by two radii and an arc. So then, constructing a line that would represent all points equidistant from MN and MP implies the angle bisector of angle NMP.

The line which represents all points equidistant from MN and MP is an angle bisector of NMP. An angle bisector is a straight line that divides a given angle into two equal parts.

The steps required to construct the line are:

ii. Reflection is the process of turning a given shape or figure about a point or line. The reflection of the figure across the line (angle bisector) would not map the figure onto itself. This is because of the change in the orientation of the points N and P.

The construction to this question is attached to this answer for more clarifications.

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Answer:

If the kite has an 11 ft line attached to it and it casts an 8 feet shadow, we will have a rectangle triangle (see picture below).

To find the height x of the kite, we can apply the Pythagorean theorem.

x² = 11² - 8²

x² = 121 - 64

x² = 57

x =√57

Step-by-step explanation:

Answer:

Yes, based on ASA or AAS

Step-by-step explanation:

Subtract the two angle values of one triangle from 180 to dictate whether the missing angle is equal to the other triangle.

180-63= 117- 45=72

The triangles are equal/congruent because two angles and a side are the same values on both triangles.

Answer:

a and c and e

Step-by-step explanation:

Answer: I believe its proportional

Step-by-step explanation:

Answer:

12 min

Step-by-step explanation:

Answer:

Step-by-step explanation:

An instant best-seller and eventually translated into more than 70 languages, The Diary of Anne Frank has served as a literary testament to the nearly six million Jews, including Anne herself, who were silenced in the Holocaust. The Frank family’s hideaway at Prinsengracht 263 in Amsterdam opened as a museum in 1960

srry i dont know but here

Answer:

What do you need help with?

Step-by-step explanation:

Answer:

what is the problem?

Step-by-step explanation: