Your dog is digging a huge hole in the backyard. On average he removes 32 cubic feet of
dirt each hour, How much dirt will he have removed if he digs for three hours. Express
your answer as a simplified fraction. SHOW YOUR WORK.

Answer:

x = 130°

y = 50°

Step-by-step explanation:

x = 130° (Exterior alternate angles)

x + y = 180° (Angles in linear pair)

y = 180° - x

y = 180°- 130°

y = 50°

The solution to the problem in the figure attached in the question is: x = 130°, y = 50°

Alternate angles are angles that are formed in a situation whereby a line intersects two other lines, which lie on opposite sides of a transverse line and on contrasting proximate sides of the other lines.

From the given figure:

Angle x is an alternate angle to angle 130°.

Thus, x = 130°

Using the sum of angles on a straight line:

x + y = 180°

130° + y = 180°

y = 180° - 130°

y = 50°

Learn more about alternate angles here:

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Answer:

70

Step-by-step explanation:

First, set up the ratio of c:t, which is 12:8. Then set up your new ratio of c:t, which is 105:?. The way I find the easiest is to divide 105 by 12, which is 8.75, then multiply that by 8, which is 70. To check if it's right, just divide 12 by 8, and 105 by 70, and if they're the same number, you've got it right.

Ps. I'm guessing you meant to ask the minimum number of trucks, not cars.

Step-by-step explanation:

• the original price= 275,

275 → 100 %

i) find the price with the 15 % discount

100% - 15% = 85 %

if, 275 → 100 %

100 % → 275

1% → 275 / 100

85 % → (275/100) * 85

= 233. 75

ii) find the add. 5% of the :

sale price = 233. 75

add. discount = 5%

= 5/ 100 * 233.75

= 11.6875

iii) subract the 5% discount from the sale price.

final price = 233. 75 - 11.6875

= 222. 0625

hope this helps you!

-s.

The total cost of the two shirt Maggie will pay after including the sales tax is $18.105.

The cost price per unit is the amount of money required to buy one unit of a brand or goods.

To find the cost price per unit, divide the total amount of cost of the goods to the total number of goods.

The cost of one shirt bought by the Maggie is $8. 50 each. Thus, the cost of the 2 shirts is,

[tex]C=2\times8.50\\C=17[/tex]

Thus, the total cost of the two shirts is $17.

Now, there is a 6. 5% sales tax on the selling price. Thus, the cost of the 2 shirts after the sales tax is,

[tex]C=17+17\dfrac{6.5}{100}\\C=17+1.105\\C=18.105[/tex]

Hence, the total cost of the two shirt Maggie will pay after including the sales tax is $18.105.

Learn more about the cost price per unit here;

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Answer:

$18.11

Step-by-step explanation:

I took the test on k-12

Answer:

5

Step-by-step explanation:

0(0×2 + 0 + 1) + 5

0(0+0+1)+5

0 + 0 + 0 +5

= 5

Answer:

Attached is the table.

Step-by-step explanation:

Hope this helps!

Step-by-step explanation:

opp sides are equal and parallel

a = 21

ab = 23.9

cd = 23.9

ad given in figure

Answer:

its 8

Step-by-step explanation:

[tex]\boxed{\sf tan\theta=\dfrac{Perpendicular}{Base}}[/tex]

Now

[tex]\\ \tt\hookrightarrow tanx=\dfrac{27.8}{19.6}[/tex]

[tex]\\ \tt\hookrightarrow tanx=\dfrac{13.9}{9.8}[/tex]

[tex]\\ \tt\hookrightarrow tanx=1.418[/tex]

[tex]\\ \tt\hookrightarrow \underline{\boxed{\bf tanx=1.42}}[/tex]

Value of x

[tex]\\ \tt\hookrightarrow x=tan^{-1}(1.42)[/tex]

[tex]\\ \tt\hookrightarrow x=54.8°[/tex]

Hope It helps

Answer:

the answer is c, (-3,-4)

Step-by-step explanation:

the rule for a 180 degree rotation is: (x,y) ---> (-x,-y)

Hope this helps! :)

Answer: 0.16min/m

Step-by-step explanation:

The depth of the aquarium is 25 meters

Time is take for water to reach the bottom = 4 minutes per 25 meters

= 4/25 min/m

= 0.16 min/m

The value of the given expression is -15 - 3y

In maths, when there are terms in the bracket, it means we are to multiply the terms in the brackets by each other. This means that 5 + y would be multiplied by -3.

Multiplication is the process of determining the product of a set of numbers.

(5 + y)(–3) = -15 - 3y

To learn more about multiplication, please check: https://brainly.com/question/1114498

Answer:

-3

Step-by-step explanation:

4x is the slope and the + or - always is the y intercept. also this would be a linear equation :)

Answer:

90/100×30=27

27 caramel brownies

Answer:x2 355b.  Hhgguyuy

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

64 * (5/8) = 40 lemon and caramel

64- 40 = 24 carrot cupcakes

Step-by-step explanation:

so, we first put 10 in for x :

y = 6.50×10 + 50 = 65 + 50 = $115

and then we put 20 in for x :

y = 6.50×20 + 50 = 130 + 50 = $180

so, the ordered pairs are

(10, 115) and (20, 180)

Answer:

Exact Form:

2[tex]\sqrt[/tex]13

Decimal Form:

7.21

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Have a great day! :D

Answer:

y-intercept = (0, 8)

x-intercepts = (4, 0) and (-2, 0)

vertex = (1, 9)

5th point = (2, 8)

Step-by-step explanation:

As the coefficient of x² is negative, the curve will be "n" shaped.

y-intercept

crosses the y-axis when x = 0

substitute x = 0 into the function and solve for y:

[tex]\implies y=-(0)^2+(2 \times 0)+8=8[/tex]

Therefore, y-intercept = (0, 8)

x-intercept

crosses the x-axis when y = 0

set the function to zero and solve for x:

[tex]\implies -x^2+2x+8=0[/tex]

[tex]\implies x^2-2x-8=0[/tex]

[tex]\implies (x-4)(x+2)=0[/tex]

[tex]\implies x=4, x=-2[/tex]

Therefore, x-intercepts = (4, 0) and (-2, 0)

vertex

vertex form:  [tex]y=a(x-h)^2 +k[/tex],  where (h, k) is the vertex

expand vertex equation:  [tex]y=ax^2 -2ahx+ah^2 +k[/tex]

compare coefficients with original function: [tex]y=-x^2+2x+8[/tex]

[tex]\implies a=-1, h=1, k=9[/tex]

So vertex = (1, 9)

5th plot point

You can choose any value of x and input it into the equation for y, but for symmetry, I have chosen to find the other value of x (aside x = 0) when y = 8

[tex]\implies -x^2+2x+8=8[/tex]

[tex]\implies -x^2+2x=0[/tex]

[tex]\implies x^2-2x=0[/tex]

[tex]\implies x(x-2)=0[/tex]

[tex]\implies x=0, x=2[/tex]

5th point = (2, 8)

An                                                                                                            

Step-by-step explanation

Answer:

g(8) = 45

Step-by-step explanation:

substitute x = 8 into g(x) , that is

g(8) = 7(8) - 11 = 56 - 11 = 45

Answer:

35 1/2 Miles divied by 1 1/4=28.4 gallons

Step-by-step explanation:

Answer:The solution is in the file below

Step-by-step explanation:

Answer:

1.75h + 5 ≤ 10.25

number of hours she can rent is a maximum of 3

Step-by-step explanation:

h = hours bike is rented

1.75h + 5 ≤ 10.25

subtract 5 from each side:

1.75h ≤ 5.25

divide each side by 1.75:

h ≤ 3

Answer:

ok so the sale ticket cost 54 so we want to find what the regurler one cost so lets just make a algreva equation

0.9x=54

divide by 0.9

54 divide by 0.9=60

so a regurer ticket cost 60

54=0.9r

Hope This Helps!!!

Answer:

Measure C, the Sacramento Community Stabilization and Fair Rent Charter Amendment is on the November ballot for the city of Sacramento after a lengthy court battle. The measure is written to supersede the Sacramento Tenant Protection Act, which was passed in 2019. Here are the results for Measure C as they come in:

Step-by-step explanation: