Please help me


The following graph shows a proportional relationship. What is the constant of proportionality between y and x in the graph?

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Answer:

multiply both sides by 17

your supposed to do the opposite of the symbol given

Step-by-step explanation:

The solution to the system of equation is (7, 2)

Using the simultaneous equation:

5x + 3y = 41

2x + 3y = 20

using elimination method

Subtract equation 1 from 2 to have:

5x - 2x = 41 - 20

3x = 21

x = 21/3

x = 7

Substitute x = 7 into equation 1 to get y

5x + 3y = 41

5(7) + 3y = 41

35 + 3y = 41

5y = 41 - 35

3y = 6

y = 6/3

y = 2

Hence the solution to the system of equation is (7, 2)

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Part (a)

--------------------------

Work Shown:

Let's say we have

To find the volume of the block, we multiply the length width and height.

So,

volume = (length)*(width)*(height)

V = L*W*H

V = LW*(x+3) .... replace H with (x+3)

V = LW*x + LW*3 .... distribute

V = Lx*(W) + 3L*(W)

V = Lx(x+4) + 3L(x+4) .... replace W with x+4

V = Lx^2 + 4Lx + 3Lx + 12L .... distribute

V = Lx^2 + 7Lx + 12L

V = x^2*(L) + 7x*(L) + 12*(L)

V = x^2*(x+5) + 7x*(x+5) + 12*(x+5) .... replace L with x+5

V = x^3 + 5x^2 + 7x^2 + 35x + 12x + 60 .... distribute

V = x^3 + 12x^2 + 47x + 60

x^3 + 12x^2 + 47x + 60 is the polynomial in standard form that represents the volume of the block.

=======================================================

Part (b)

--------------------------

Work Shown:

We can plug x = 3 into the polynomial we found

V = x^3 + 12x^2 + 47x + 60

V = (3)^3 + 12(3)^2 + 47(3) + 60

V = 27 + 12(9) + 47(3) + 60

V = 27 + 108 + 141 + 60

V = 336

Or we could find the volume like this

V = L*W*H

V = (x+5)*(x+4)*(x+3)

V = (3+5)*(3+4)*(3+3)

V = (8)*(7)*(6)

V = 336

Either way, we get the same volume of 336 cubic feet.

Answer:

Step-by-step explanation:

width is 255/15=17

perimeter = 17*2+15*2=64

EZ

Answer:

.9

Step-by-step explanation:

Answer:

let one number be x and the other be x + 12

sum = 48

x + x + 12 = 48

2x + 12 = 48

2x = 48 - 12

2x = 36

x = 36 by 2

x = 18

therefore x = 18 and x+12= 18+12=30

so the answer is 18 and 30

Have a good day! ^^

Step-by-step explanation:

Answer:

8/15

Step-by-step explanation:

Unit rate is 8 / 15 acres per day.

"Work is defined as when force is applied on an object and it gets move in particular direction."

According to the question,

Group of workers plant  2/ 5 acres  in 3 /4 days

3 / 4 days = 2/ 5 acres

1 day =  [tex]\frac{2}{5}[/tex] × [tex]\frac{4}{3}[/tex]

⇒ 1 day = 8 / 15 acres

Hence, Unit rate is 8 / 15 acres per day.

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Answer:(60 + 12)(60 – 12)

Step-by-step explanation:

Answer:

slope=2x, y-intercept=-3

Step-by-step explanation:

When in slope intercept, the slope (m) is always the x (and whatever number is in front of it), and the y-intercept (b) is at the end of the equation.

Answer:

[tex] \large \boxed{v > - 1}[/tex]

Step-by-step explanation:

Given the Inequality:

[tex] \large{ \frac{1}{3} (v -2) < v}[/tex]

Step 1

[tex]\large{ \frac{1}{3} v - \frac{2}{3} < v}[/tex]

Step 2

[tex] \frac{1}{3} v(3) - \frac{2}{3} (3) < 3(v) \\ v - 2 < 3v[/tex]

Step 3

[tex] - 2 < 3v - v \\ - 2 < 2v \\ \frac{ - 2}{2} < v \\ - 1 < v \\ v > - 1[/tex]

Hope this helps! If you have any questions that are related to the answer, feel free to use "Comment" feature!

Answer:

2.25x2+2x1.00+1.50=8, 10-8 =$2.00

Step-by-step explanation:

Answer:

5.5

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

72/24=3

3*2=6

Answer:

Step-by-step explanation:

umm like 2.8  i think

Answer:

Step-by-step explanation:

edge2021

Answer:

D. 4+4k

Step-by-step explanation:

(12k +8) - (8+ 8k - 4)

12k +8 - 8 - 8k + 4

4k +4

d}4+4k

2(6k+4)-4(2+2k-1) writing down the question

12k+8-8-8k+4 multiplying the numbers by the coefficients

12k-8k+8-8+4 collecting like terms

4k+4 the answer

Answer:

it would be (-7,-6)

x=-7, y=-6

Step-by-step explanation:

The answer is A.

Step-by-step explanation:

ARP means Annual Percentage Rate. Annual means yearly and there are 12 months in a year so divide 19.8 by 12 and you get 1.65.

Answer:

Yo, thx for the free points man

Step-by-step explanation:

Answer:

The answer is

E=(1, 3)

F=(2,4)

Step-by-step explanation:

When E is midpoint of AB

Then

[tex]e = ( \frac{4 + ( - 2)}{2} . \frac{5 + 1}{2} ) \\ = (1.3)[/tex]

By this way we can find F

[tex]f = ( \frac{4 + 0}{2} . \frac{5 + 3}{2} ) \\ = (2.4)[/tex]

I am a math teacher If you need any explanation you can communicate with me on Whats on this number +201557831028

Answer:

284.4

Step-by-step explanation:

Divide all numbers by 1.5. example: (10)1.5(12)1.5(81.5= 284.444444 but I rounded it to 284. You're welcome

284 boxes in the shape of the cubes can be fitted in the truck.

If a truck is fitted fully with the cubes, volume of the truck will be equal to the volume of cubes to be fitted.

Dimensions of the truck given in the question,

Since, volume of a cuboid (shape of a truck) is given by the expression,

Volume = Length × Width × Height

Therefore, volume of the truck = 10 × 12 × 8

                                                   = 960 feet³

Volume of a cube is given by the expression,

Volume = (side)³

Therefore, volume of the cube with side length 1.5 feet will be,

Volume of a cube = (1.5)³

                              = 3.375 cubic feet

Let the number of cubes fitted in the truck = x

Therefore, volume of 'x' cubes = (3.375x) feet³

Since, volume of the truck = Volume of the cubes fitted

3.375x = 960

x = [tex]\frac{960}{3.375}[/tex]

x = 284.44

x ≈ 284

     Therefore, 284 boxes in the shape of the cubes can be fitted in the truck.

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Answer:  You can use the identity THE PICTURE THAT I PUT THERE

The sign is negative because the angle is in the 3rd quadrant.  This corresponds to ...  a. -(4√17)/17

value of sin ( theta ) = -4 (square root of ) 17 / 17

Real functions which relate to an angle of a right angled triangle to ratios of two side length.

Given

tan (theta) = 4`

sin(theta) = tan (theta ) / (1 + tan ^ theta)^(1/2)

sin(theta) = 4/(1+(4)^2)^(1/2)

                = 4/ (17)^ (1/2)

                multiplying  and dividing by 17 ^ (1/2), we get

                =  -4 (17) ^ (1/2) / 17 ( negative since angle is in third quadrant and tan is negative in that quadrant )

option a) -4 (square root of ) 17 / 17

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Answer:

she earns $25.00 commission

Step-by-step explanation:

.05×500=25

Answer:

$6.37

Step-by-step explanation:

Jane and 3 friends = Jane + another 3 people

= 4 people in total

Total Cost of pizza = $25.48

If 4 people split $25.48 evenly,

Amount each friend has to pay = Total Cost of pizza/Total number of people

= $25.48/4

= $6.37 per friend

Each friend has to pay $6.37 each if $25.48 is splitted evenly amongst them

Answer:

[tex]1\frac{5}{6}[/tex]

Step-by-step explanation:

6/3 + (-1/6) = 2 + (-1/6) = 2 - 1/6 = [tex]1\frac{5}{6}[/tex]

Answer:

If these are fractions the answer is 1 5/6

If they are not fractions the answer is 1.83

Domain of f(x) = pi cos x is ALL REAL NUMBERS.

The range of f(x) = pi cos x is [-1, 1].

Answer: r = 1.69 inches

              h = 2.15 inches

Step-by-step explanation: Volume of a solid is the amount of space contained within a solid.

Volume of a cone is directly proportional to radius and height:

[tex]V=\frac{1}{3}\pi r^{2}h[/tex]

They want the cones to hold the same volume of 9 cubic inches.

If height is 3:

[tex]9=\frac{1}{3}\pi r^{2}3[/tex]

[tex]\pi r^{2}=9[/tex]

[tex]r^{2}=2.864[/tex]

r = 1.69 inches

When height is 3, radius is 1.69 inches for a cone to have 9 cubic inches of volume.

If radius is 2:

[tex]9=\frac{1}{3}\pi (2)^{2}h[/tex]

[tex]h=\frac{9(3)}{4 \pi}[/tex]

h = 2.15 inches

If radius is 2 inches, height of the cone is 2.15 inches.

Answer:

30

Step-by-step explanation:

1/2 x (a+b) x h = area

1/2 x ( 40 + x ) x 50 =  1750

1/2 (40 + x )= 1750/50

20 + 1/2x = 35

1/2 x = 35 - 20

x = 15 x 2

= 30

I hope this is right :)

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