The density of a certain material is such that it weighs 6900 grams for every 4.5 quarts of volume. Express this density in pounds per cubic foot. Round your answer to the nearest whole number.

Given:

The graph of two lines.

To find:

The slope of each line and check whether they are same or different.

Solution:

If a line passes through two points, then the slope of a line is:

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

From the graph 1, it is clear that the line passes through the points (2,175) and (3,165). So, the slope of first line is:

[tex]m_1=\dfrac{175-165}{3-2}[/tex]

[tex]m_1=\dfrac{10}{1}[/tex]

[tex]m_1=10[/tex]

The slope of first line is 10.

From the graph 2, it is clear that the line passes through the points (1,175) and (2,165). So, the slope of first line is:

[tex]m_2=\dfrac{175-165}{2-1}[/tex]

[tex]m_2=\dfrac{10}{1}[/tex]

[tex]m_2=10[/tex]

The slope of second line is 10.

[tex]m_1=m_2[/tex]

Therefore, the slopes of both lines are same, i.e. 10.

Answer: y = 17x - 19

Step-by-step explanation:

17x + y = -19

Subtract 17 on both sides

Y= -19 - 17x

Then put it in y= mx + b

Y= -17x - 19

Answer:

y = -17x -19

Step-by-step explanation:

Slope intercept form is

y = mx+b  where m is the slope and b is the y intercept

17x+y = -19

Solve for y

y = -17x -19

Answer:

31 hecause the èattern is adding 3

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

1+2+3+4+5 =15       5 lengths will require   4 cuts

Answer:

Answer:

Step-by-step explanation:

So, first they spend $100

The next week, they spend 20% less than $100, so they spent $80 that week.

The 3rd week, they spend 3/4 of $80, so they spend $60 that week.

Finally, we add the spent money from the 3 weeks (100 + 80 + 60) and get $240. I hope this helps!

I think the answer is 5.

Sorry if it's wrong.

Answer:

5

Step-by-step explanation:

This question is based on vector

By applying its formula

AC = AB + BC

we were given AC as 14 and BC as 9 so let find AB

AC = AB + BC

14 = AB + 9

AB = 14 – 9

AB = 5

i hope this helped

Answer:

x=7

hope this helps

have a good day :)

Step-by-step explanation:

Answer: The equation Y-5 = -7/3(X-3) in standard form is:

3Y - 15 = -7X + 21

Step-by-step explanation:

Answer:

201.1 cm ^2 ( in

acellus )

Step-by-step explanation:

The surface area the sphere is 64π cm².

A sphere is a three-dimensional equivalent of a two-dimensional circle. A sphere is a collection of points in three-dimensional space that are all the same distance r from a particular point. hat given point is the center of the sphere, and r is the sphere's radius

Surface area: 4πr²

Given the radius of the sphere is 4 cm.

then apply the formula

surface area = 4π(4)²

                     = 4π(16)

                     = 64π cm²

Hence the surface area is 64π cm².

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Answer:

A

Step-by-step explanation:

The angle of elevation of the fly's flight path is approximately 57.74 degrees.

In a right triangle, the hypotenuse is the side opposite the right angle. It is always the longest side of the triangle and is the side opposite to the 90 degrees angle. It is also the side that forms the "hypotenuse" of the right triangle.

The Pythagorean theorem is a fundamental result in Euclidean geometry that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. It can be written as c^2 = a^2 + b^2, where a and b are the legs of the triangle and c is the hypotenuse. This theorem can be used to find the length of the hypotenuse of a right triangle when the lengths of the other two sides are known.

Let's call the angle we're trying to find "theta". The horizontal distance is 30 feet, the vertical distance is 32 feet and the height is 9 feet.

Using pythagorean theorem:

$c^2 = a^2 + b^2$

$c = \sqrt{30^2 + 32^2}$ = $\sqrt{900 + 1024}$ = $\sqrt{1924}$

Now we can use the tangent function:

$\tan(\theta) = \frac{opposite}{adjacent} = \frac{32}{30}$

Now we can find the angle, theta, by using the inverse tangent function:

$\theta = \tan^{-1}(\frac{32}{30})$

The angle of elevation of the fly's flight path is approximately 57.74 degrees.

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Answer:

25

Step-by-step explanation:

2.5 =10%

2.5*4= 10

2.5*6=15

Answer:

25

Step-by-step explanation:

Using P=(%)w we can substitute the values. First, I will define the variables. P = part (is), % = percent, w = whole (of)

10 = (40%)w

The reason for this is because 10 is a PART and 40% is a PERCENT and we are solving for the unknown WHOLE. We now divide 10 by 0.40 because to convert a percent to a decimal you just move the point two places to the left:)

10 divided by 0.4 = 25. So, there is a total of 25 students in Mr. Lee's class. Now, we can check this by multiplying 25 and 0.4 to get 10! It is in fact correct.

PLEASE READ PRACTICE AND UNDERSTAND! DO NOT JUST TAKE THE ANSWER. KNOWLEDGE IS POWER :^)

Answer:

Step-by-step explanation:

The 3 year simple interest at 4% will be $38,192.

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

The principal amount = $34,100

Interest rate = 4%

Time = 3 years Now,

Since, We know that;

Where, A is final amount.

P is principal amount.

r is interest rate.

t is time.

Substitute all the values, we get;

A = $34,100 (1 + 4/100)³

A = $34,000 (104/100)³

A = $34,000 × 104/100 × 104/100 × 104/100

A = $38,192

Thus, The Simple interest will be $38,192.

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Answer:

Mean: 11

Median: 10.5

Mode: 9

Answer:

[tex]44 \frac{2}{15} [/tex]

Answer:

11

Step-by-step explanation:

Add 4 to both sides to get rid of -4 or if you want think of it as moving -4 to the other side and turning it into positive if its negative and negative if its positive

r=11

Answer:

i dont understand this question but i think maybe 21

Step-by-step explanation:

30-9 =21

Answer:

21

Step-by-step explanation:

Answer: she checked out 9 nonfiction books

Step-by-step explanation:

18-9=9

Answer:

343.2

Step-by-step explanation:

156 × 2.2

= (156 × 22)/10

= 3432/10

= 343.2

Answer:

3750

I wish you luck in your assignments.

Answer:

B'(-2, -3)

C'(7, -6)

D'(7, -1)

E'(-2, -1)

Step-by-step explanation:

When you move translate a coordinate horizontally, if it is to the left, you subtract the x value with how many units you move, and if its to the right, you add however many units you move to the x-value. and when you move vertically, if you move down, subtract the amount of units you moved from the y-value, and if you move up, add however many units you moved to the y-value.

Answer:

Step-by-step explanation:

Hypotenuse = h

h^2 = 8^2 + 6^2

h^2 = 64 + 36

h^2 = 100

h = √100

h = 10

Hope that helps! :)

-Aphrodite

Answer:

The ratio is 2

Step-by-step explanation:

The last value should be 64.

1 * 2 = 2

2 * 2 = 4

4 * 2 = 8

8 * 2 = 16

16 * 2 = 32

32 * 2 = 64

Answer:

Option E

Step-by-step explanation:

GIVEN :-

TO FIND :-

SOLTION :-

[tex]x - \frac{\beta x}{3\gamma} = \alpha[/tex]

Take 'x' common from L.H.S.

⇒ [tex]x ( 1 - \frac{\beta}{3\gamma} ) = \alpha[/tex]

Substract the terms in the brackets

⇒ [tex]x (\frac{3\gamma - \beta }{3\gamma} ) = \alpha[/tex]

Now , take the whole term in brackets to R.H.S.

⇒ [tex]x = \frac{\alpha }{\frac{3\gamma - \beta }{3\gamma} } = \alpha(\frac{3\gamma}{3\gamma - \beta}) = \frac{3 \alpha \gamma}{3\gamma - \beta }[/tex]

CONCLUSION :-

∴  [tex]x = \frac{3 \alpha \gamma}{3\gamma - \beta }[/tex] (Option E)