PLEASE HELP 8th grade

Answer:

Internal height is approximately 28.5714285714286 cm

Internal surface area is roughly 9628.57142857143 square cm

Round the values however you need to

Step-by-step explanation:

Work Shown:

1 L = 1000 mL

1 L = 1000 cm^3

60 L = 60,000 cm^3 (multiply both sides by 60)

The cooler has volume of 60,000 cubic cm. Let V = 60000

Assuming the cooler is a rectangular prism (aka a block), then we can say

volume = length*width*height

V = L*W*H

60000 = 60*35*H

60000 = 2100H

2100H = 60000

H = 60000/2100

H = 28.5714285714286 which is approximate

And the surface area (SA) is

SA = 2*(LW + LH + WH)

SA = 2*(60*35 + 60*28.5714285714286 + 35*28.5714285714286)

SA = 9628.57142857143 which is also approximate

Units for the surface area are in square centimeters.

Answer:

Step-by-step explanation:

1. The sum of 5 and 8. _5+ 8 _____   =13

2. The product of 3 and 4.   _3*4____ = 12

3. The square of 8. __8^2____   = 64

4. The sum of a number and 3. __x+3___

5. 4 times a number subtracted from 78. _78-4x_____

The first effect narration is able to create immediacy between the reader and the narrator, while the third person narration is used to create objectivity.

This is used to share a personal story directly with the audience. This type of narration gives the person that is reading it a first row to the story told.

This allows the reader to see everything that is ongoing in the story. It switches between the different characters that are in the conversation.

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Answer: x=y=z=88

Step-by-step explanation:

All sides of a rhombus are congruent.

The number of sales Bob needs to make to get $6000 salary this month's is, 70000. The option B is the correct option.

What is percentage ?

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.

The annual salary of Bob is $30,000. As, there is total 12 months in a year. Thus, the monthly salary of Bob is,

[tex]S=\dfrac{30000}{12}\\S=2500[/tex]

Thus, the monthly salary of Bob is $2500.

The commission on the sale is 5% on all sales he makes, and the  Bob wants to make $6,000 this month. Thus, the number of sales he needs to make is,

[tex]6000=2500+\dfrac{5}{100}\times n\\0.05n=6000-2500\\n=\dfrac{3500}{0.05}\\n=70000[/tex]

The number of sales Bob needs to make to get $6000 salary this month's is, 70000. The option B is the correct option.

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Answer:

It's B

Step-by-step explanation:

took thhe test on edge

Answer:

(x-9)^2 + (y-9)^2 = 81

Step-by-step explanation:

Step-by-step explanation:Equation of a circle

( x - h )^2 + ( y - k )^2 = r^2

Your graph - the circle intersects the x-axis at (9 , -9)

- the circle intersects the y-axis at (9 , -9)

h = the number on the x axis intersected by the circle.

k = the number on the y axis intersected by the circle.

r = radius of the circle measured starting from the origin.

plug these in:

( x - h )^2 + ( y - k )^2 = r^2.

(x - 9)^2 + (y - 9)^2 = 9^2

(x-9)^2 + (y-9)^2 = 81

We are given with a circle and we need to find the equation of the circle , but first let's recall that , the equation of a circle with radius 'r' and centre at (h,k) is given by [tex]{\bf{(x-h)^{2}+(y-k)^{2}=r^{2}}}[/tex]

Now , here as as the circle cuts the +ve x-axis at (9,0) . So , it's radius is 9 units or the 2nd way is to measure the distance from centre of the circle to the point where the circle cuts the graph , as the centre is at Origin , so here (h,k) = (0,0) .Which means that the centre is located at the point whose coordinates are (0,0) which is also known as origin . Now , finding the equation of the circle :-

[tex]{:\implies \quad \sf (x-0)^{2}+(y-0)^{2}=(9)^{2}}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{x^{2}+y^{2}=81}}}[/tex]

This is the required equation of Circle

Answer:

you have to add 2 with the amount of y

Step-by-step explanation:

Answer:

your answer would be 5

Step-by-step explanation:

24x = 2(60)

24x = 120

120/24 is 5

Answer:

5

Step-by-step explanation:

multiply 60 times 2 and divide by 24

Answer:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. The range is the set of all valid y values.

Step-by-step:ex:pla:nation

Answer:

Your answer would be Slope m = -3

Step-by-step explanation:

Step 1: Graph the points on a coordinate plane( refer to image!)

Whenever your trying to find a slope of 2 order pairs, remember this

m = rise/run. ( Slope = rise over run.) = Δy/Δx

Now we solve:

M = rise/run = Δy/Δx

M = y2 - y1/x2-x1

M = 5 - (-4) / -5-(-2)

So we get  M = 9/-3 and 9 divided by -3 is -3

So, the slope of (-2,-4) and (-5,5) is -3.

Answer:

p of the ten-peso coins

105-p of the five-peso coins

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

person height/shadow length = lamp height / shadow length lamp

Person height = 164 cm

shadow length = 83

lamp height = x

lamp shadow length = 366 + 83 =  449

164/83 = x/449     Cross Multiiply

83x = 164 * 449   Combine Right

83x = 73636         Divide by 83

x = 73636/83

x = 887.18

answer. mark is eleven years old

Answer:

11

Step-by-step explanation:

If Mark is seven years OLDER than Mark and the combined age adds up to 18 all you have to do is 18-7=11

Answer:

42 square units

Step-by-step explanation:

Think of the polygon as being the rectangle GPST added to the triangle PES.

total area = area of rectangle GPST + area of triangle PSE

= LW + bh/2

= GT × GP + PS × h / 2

= 7(5) + 7(2)/2

= 35 + 7

= 42

Just a note of the height of the triangle. The height of triangle PSE, h, is the segment with endpoints E and point (2, 2), so its length is 2.

Answer:

6(3h+5k)

Step-by-step explanation:

18h+30k

Factors of 18:

1, 2, 3, 6, 9, 18

Factors of 30:

1, 2, 3, 5, 6, 10, 15, 30

GCF of 18 and 30: 6

18h+30k = 6(3h+5k)

Check your answer:

6(3h+5k)

6(3h) + 6(5k)

18h + 30k

Hope this helps!

Answer:

Step-by-step explanation:

To factor this, we can factor both variables and then get a multiplier outside the parentheses and the new variables inside. (Sorry if it’s confusing)

18h = 2*3*3*h

30k = 2*3*5*k

Both have 2*3, which is 6. This will be the multiplier. To get the new variables, divide the old variables by 6.

18h/6 = 3h

30k/6 = 5k

The signs should not change.

6(3h+5k)

Hope this helps!

Answer: 215π

Step-by-step explanation:

If you think of the entire thing as two circles, it makes the problem a lot easier. If we were to find the area of the white "circle" and subtract it from the blue "circle", we would get the area of the ring. First, use the outer radius to find the area of this circle:

[tex]Area=\pi r^2[/tex]

[tex]Area=\pi (24)^2=576\pi[/tex]

Now find the area of the inner circle:

[tex]Area=\pi r^2[/tex]

[tex]Area=\pi (19)^2=361\pi[/tex]

Subtract the area of the inner circle from the area of the outer circle:

[tex]576\pi -361\pi =215\pi[/tex]

Answer:

160%

Step-by-step explanation:

45= 100%

72= ?%

100×72/45 = 160

[tex] = 20 \frac{ {..144y. \frac{ \leqslant y.}{?} }^{?} }{?} 5 \time41s \frac2{9} < .40.2{0} {. \times \frac{?}{?} }^{?} [/tex]

Answer:

c

Step-by-step explanation:

every vertical line must doesn't have any accident with graph like the graph C.

Answer:

[tex]f^{-1}(x)=\sqrt[3]{x}-1[/tex]

Step-by-step explanation:

[tex]f(x)=(x+1)^3\\\\y=(x+1)^3\\\\x=(y+1)^3\\\\\sqrt[3]{x}=y+1\\\\y=\sqrt[3]{x}-1\\ \\f^{-1}(x)=\sqrt[3]{x}-1[/tex]

Graphing both inverses, they will be symmetrical about the line [tex]y=x[/tex].

Answer: 24

Step-by-step explanation:

36/3 = 12

This means that 12 is one third of the flower pots.

Since she uses two thirds, just multiply the answer by 2.

12x2 = 24, so 2/3 is 24

Therefore, Mary plants daisies in 24 flower pots.

Hope this helps!

Using it's concept, it is found that there is a 0.0278 = 2.78% probability that Julia spins a “6” followed by a “2”.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

The probability of both events is given by:

[tex]p = P(A)P(B) = \frac{1}{6} \times \frac{1}{6} = \frac{1}{36} = 0.0278[/tex]

0.0278 = 2.78% probability that Julia spins a “6” followed by a “2”.

More can be learned about probabilities at https://brainly.com/question/15536019

Answer: (0, -3)

Step-by-step explanation:

Add both equations to eliminate x

   6x-4y=12

+ -6x+y=-3

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

  -3y = 9

y = -3

Substitute y=-3 into the second equation:

-6x=(-3)=-3

-6x=0

x = 0

Therefore, the ordered pair of solutions is (0, -3)

Answer:

X intercept: (2, 0)

Y intercept: (0, -3)

I hope this will help you. :3

Answer:

x = 15

Step-by-step explanation:

10x - 30 and 3x + 15 are same- side interior angles and sum to 180° , so

10x - 30 + 3x + 15 = 180 , that is

13x - 15 = 180 ( add 15 to both sides )

13x = 195 ( divide both sides by 13 )

x = 15

Step-by-step explanation:

The sum of the considered expression is evaluated to be [tex]\dfrac{x+6}{x+3}[/tex]

Finding the least common multiples of the denominator expressions can help. Then using the similar method as we use in sum of fractions would give the sum of algebraic fractions.

For example,

[tex]\dfrac{a}b} + \dfrac{c}{d} = \dfrac{a \times d + c \times b}{bd}[/tex]

For the considered case, the sum of the given expression is easy to evaluate as the denominators are all same, so their sum will directly apply to their numerators.

The sum is evaluated as follows:

[tex]\dfrac{x}{x+3} + \dfrac{2}{x+3} + \dfrac{2}{x+3} = \dfrac{x + 2 + 3}{x+3} = \dfrac{x + 6}{x+3}[/tex]

Thus, the sum of the considered expression is evaluated to be [tex]\dfrac{x+6}{x+3}[/tex]

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The radius of the circle is the distance between the center and the y-intercept.

The radius of the circle is 4 units

The given parameters are:

Center = (0,3)

Y-intercept = (0,7)

The radius is calculated as:

[tex]r = \sqrt{(0 - 0)^2 + (3 - 7)^2}[/tex]

Evaluate

[tex]r = \sqrt{16}[/tex]

Solve

[tex]r =4[/tex]

Hence, the radius of the circle is 4 units

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