A building contractor is to dig a foundation 45 feet long, 16 feet wide and 6 feet deep. The contractor pays 13 dollars per load for trucks to remove the dirt. Each truckload holds 4 cubic yards. How many cubic yards must be hauled away?

Answer:

26

Step-by-step explanation:

10 + 15

Answer:

Step-by-step explanation:

yes you would. they are very strict with food stamps or EBT card they will still ask for the 3 months for  so put in your 3 months and you should be fine.

Answer:

5.25

Step-by-step explanation:

5 1/4

there are 5 4/4's

5*4=20

20/4 + 1/4 = 21/4

21/4= 5.25

Answer:

525%

Step-by-step explanation:

5 wholes equals 500%, 1/4 = 1*25/4*25=25 500+25=525

Answer:525%

Answer:

1.3 is the common difference.

Step-by-step explanation:

Answer:

(7x^2 -1)(x - 2).

Step-by-step explanation:

7x^3 - 14x^2 - x + 2

We can factor this by grouping - that is factoring the first 2 terms and the last 2:

= 7x^2(x - 2)  - 1(x - 2)      <-- the x - 2 is common to both parts so we have:

(7x^2 -1)(x - 2).

Answer:

0

Step-by-step explanation:

By definition, if it is on the y-axis the x-coordinate is 0

Answer: The percentage change is 56.67%.

Step-by-step explanation:

From 120 meals to 52 meals, change in meals = ( 120- 52) meals

= 68 meals

The percentage change = \(\dfrac{\text{change in meals}}{\text{Original quantity of meals}}\times100\)

\(=\dfrac{68}{120}\times100\\\\=56.67\%\)

Hence, the percentage change is 56.67%.

The probability of A would be lesser than or equal to that of B because A is a subset of B

From the question, we have the following parameters that can be used in our computation:

The Venn diagram

On the Venn diagram, we have

A is inside B

This means that A is a subset of B

And as such the probability of A would be lesser than or equal to that of B

Here, we have

A = 1

B = 4

Outside = 9

So, we have

P(A) = 1/(1 + 4 + 9) = 1/14

P(B) = (1 + 4)/(1 + 4 + 9) = 5/14

Hence, the values of P(A) and P(B) are 1/4 and 5/14

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Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

What is congruent?

Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.

Here,

we have to prove when can we say that the two triangles are congruent.

SSS, SAS, ASA, AAS, and HL.

These tests describe combinations of congruent sides and/or angles that are used to determine if two triangles are congruent.

Hence, two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

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Check the picture below.

\(\textit{Law of Cosines}\\\\ \cfrac{a^2+b^2-c^2}{2ab}=\cos(C)\implies \cos^{-1}\left(\cfrac{a^2+b^2-c^2}{2ab}\right)=\measuredangle C \\\\[-0.35em] ~\dotfill\\\\ \cos^{-1}\left(\cfrac{10^2+4^2-7^2}{2(10)(4)}\right)=\measuredangle A \implies \cos^{-1}\left(\cfrac{ 67 }{ 80 }\right)=\measuredangle A \\\\\\ \cos^{-1}(0.8375) = \measuredangle A \implies 33.12^o \approx \measuredangle A\)

Make sure your calculator is in Degree mode.

25% of the students in the seminar are shorter than 65 inches.

To find the percentage of students who are shorter than 65 inches, we first need to find the number of students whose height is less than 65 inches:

There are three students who are shorter than 65 inches: 62, 60, and 58.

Therefore, the percentage of students who are shorter than 65 inches is:

(3 students / 12 students) × 100% = 25%

Note that the value given for 1% × 5 does not appear to be relevant to this question, and is not necessary for the calculation of the percentage of students who are shorter than 65 inches.

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An expression for the area of △KNM is = 1/2 x 2b x a

Given,

In the question:

In triangle KNM ;

The length of the base (MK) = 2b

and, height of the triangle is= a

To write an expression  for the area of △KNM .

Now, According to the question:

We know that :

Area of triangle is = 1/2 x base x height

The length of the base (MK) = 2b

and, height of the triangle is= a

Plug all the values in the area of triangle :

Here, Area of triangle is = 1/2 x 2b x a

Hence, An expression for the area of △KNM is = 1/2 x 2b x a.

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The values of the two integers are -43 and -143.

Let the value of the smaller integer be "x".

Since, the sum of two integers is -186.

Smaller integer + Larger integer = -186

x + ( 3x - 14 ) = -186

Solve for x

x + 3x - 14 = -186

4x - 14 = -186

4x = -186 + 14

4x = -172

x = -172/4

x = -43

Hence;

The smaller integer = x = -43

The largere integer = 3x - 14 = 3(-43) - 14 = -143.

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Answer:

Distance=123.28. Two decimal places is reasonable, because it gives a close approximate to the exact answer, while remaining short and easy to use.

Step-by-step explanation:

Use Pythagorean theorem.

90^2+90^2=c^2

8100+8100=16200

The square root of 16200 is 127.279220614

127.279220614~127.28

Answer:

How Do Jet Streams Affect Weather? The fast-moving air currents in a jet stream can transport weather systems across the United States, affecting temperature and precipitation. However, if a weather system is far away from a jet stream, it might stay in one place, causing heat waves or floods.

Step-by-step explanation:

Your answer is A

Answer:

1. intersecting

2. paralle

3. perpendicular

4. intersecting

Answer:

4.75683

not sure how to explain how I got it

4√8^3

Raise 8 to the power of 3

4√512

Rewrite 512 as 4^2*2

4√4^4*2

Pull terms out from under the radical.

4*4√2

The result can be shown in multiple forms.

Exact Form:

4*4√2

Decimal Form:

4.75682846

An equation for how much Ann's gym charges for x visits in a one month is y = 20x + 5.

An equation for how much Blake's gym charges for x visits in a one month is y = 20x + 5.

A solution to this system of equations is the ordered pair (0.2, 9).

In order to write an equation that model this situation, we would assign variables to the cost charged by Ann's gym and the cost charged by Blake's gym respectively, and then translate the word problem into algebraic equation as follows:

For the cost charged by Ann's gym, we have the following equation:

y = 20x + 5.

For the cost charged by Blake's gym, we have the following equation:

y = 30x + 3.

In this exercise, we would use an online graphing calculator to plot the given system of equations in order to determine the solution as shown in the image attached below.

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The vertices of the similar figure that results from the dilation and translation will be A'' = (2a - 1, 2b), B'' = (2c - 1, 2b), C'' = (2c - 1, 2d), and D'' = (2a - 1, 2d).

Assume that the rectangle's four vertices are A, B, C, and D, with the corresponding coordinates being (a, b), (c, b), (c, d), and (a, d).

First, enlarge the rectangle.

We must multiply the coordinates of each vertex by the scale factor of two in order to enlarge the rectangle. We can apply the following formulas because the centre of dilation is at (0, 0):

Old x-coordinate + 2 equals the new x-coordinate

Old y-coordinate + 2 times the new y-coordinate

Therefore, following dilation, the new coordinates for the vertices will be: A' = (2a, 2b)

B' = (2c, 2b)

C' = (2c, 2d)

D' = (2a, 2d)

Translate the Figure in Step 2

The x-coordinate of each vertex must be reduced by one in order to translate the figure one unit to the left. Therefore, following translation, the vertices' new coordinates will be: A' = (2a - 1, 2b)

B'' = (2c - 1, 2b)

C'' = (2c - 1, 2d)

D'' = (2a - 1, 2d)

As a result, A'' = (2a - 1, 2b), B'' = (2c - 1, 2b), C'' = (2c - 1, 2d), and D'' = (2c - 1, 2d) will be the vertices of the similar figure that comes from the dilation and translation. (2a - 1, 2d).

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The following question may be like this:

Suppose he got dilates the rectangle shown below with the center of dilation at 0,0 and a scale factor of 2, and then translates the figure 1 unit to the left. What will be the coordinates of the vertices of the similar figure that results

Answer:

the third option

Step-by-step explanation:

it starts a 0 so theres nothing to be added. rise over run is the slope and it rises 1 and goes over 3

Answer:

there are 90 minutes.

Step-by-step explanation:

60 minutes in an hour. 30 in half an hour. that equals 90 total

Answer:

There are 90 mins

Step-by-step explanation:

1 hour = 60 mins

0.5 hour(s) = 30 mins

~ You add 60 + 30 and that gives you 90 ~

Answer:

It might be 110 as the answer

Answer:

60 degrees

Step-by-step explanation:

I have attached a picture of me explaining how I found my answer. Hope that helps, thank you :) !!

Answer:

6(8+x)

Step-by-step explanation:

Notice that the constant and the coefficient have a greatest common factor of 6. Therefore, we can just factor the 6 out to get 6(8+x).

Answer:

Step-by-step explanation:

\(48 + 6x\\\\\mathrm{Rewrite\:}48\mathrm{\:as\:}6\times\:8\\\\=6x+6\times\:8\\\\\mathrm{Factor\:out\:common\:term\:}6\\\\=6\left(x+8\right)\)

ANSWER: 0.0000643 x 10^0

Answer:

5/12

Step-by-step explanation:

5- 4 7/12

5-55/12

(60-55)/12

5/12

Answer:

52cm

Step-by-step explanation:

P=2(l+w)=2·(15+11)=52cm

Answer:

30 Degrees for sure

Answer:

34 div 68m??

Step-by-step explanation:

Answer:

answer = 34 / m

Step-by-step explanation:

Usually there would be another number or variable to write an algebraic expression, but if this is the only information given, then this would be the answer

The cost of Marvel comics (m) is $22.50 and the cost of DC comics (d) is $25.5.

Let the cost of the Marvel comics be m

Let the cost of the DC comic be d

If Ant bought 4 Marvel and 3 DC comics,

the total cost of his comics= 4m+3d

and according to the question,

total cost = $ 169.50= 4m + 3d    -------------(i)

If Josh bought 6 Marvel and 5 DC comics,

the total cost of his comics= 6m+5d

and according to the question,

total cost = $ 265.50= 6m + 5d    -------------(ii)

Compare (i) and (ii)

multiply (i) by 3

508.5= 12m + 9d ----------(iii)

multiply (ii) by 2

531 = 12m + 10d----------(iv)

Subtract (iii) from (iv)

531-508.5=12m-12m+10d-9d

d= $22.50

Put the value of d in (i),

169.50= 4m + 3 (22.50)

169.50= 4m + 67.50

4m= 102

m= $25.5

Therefore, the cost of Marvel comics (m) is $22.50 and the cost of DC comics (d) is $25.5.

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