Which of the following linear equations represents the data chart?

The computation of the equation shows that the extra data that will be used to have the same amount will be 5 gigabytes.

Let the amount of extra data used be represented by x.

Plan 1 = 35 + (5 × x) = 35 + 5x

Plan 2 = 50 + (2 × x) = 50 + 2x

35 + 5x = 50 + 2x

Collect like terms

5x - 2x = 50 - 35

3x = 15

x = 15/3 = 5

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Answer:

I would pick a, the estimated total to the nearest dollar is 38

Step-by-step explanation:

13.95 rounded is 14

23.50 rounded is 24

24+14=38

Answer:

160°

Step-by-step explanation:

Minor Arc NR is equal to the measure of its central angle, S.

S and 20 are supplementary angles, so they add up to 180.

So, s +20 =180

S = 160, so NR = 160 as well

Hey there!

Solving

3x - 4 = 5

Add 4 to both sides

3x - 4 + 4 = 5 + 4

3x = 9

x = 9/3

x = 3

Equivalent expressions are:

1. 3x = 9

2. 3x - 4 + 4 = 5 + 4

3. 4 = 5 - 3x

If you're confused about the last one

Solving

−4=5−3x

Step 1: Simplify both sides of the equation.

−4=5−3x

−4=5+−3x

−4=−3x+5

Step 2: Flip the equation.

−3x+5=−4

Step 3: Subtract 5 from both sides.

−3x+5−5=−4−5

−3x=−9

Step 4: Divide both sides by -3.

−3x/−3 = −9/−3

x=3 (Still the same answer)

Answer:

180.06

Step-by-step explanation:

We first need to sustitue x and y for the time workd on saturday and sunday :)

10.75(1.5)(4.5) + 10.75(2)(5)

Now we multpily in order!!

10.75(1.5)(4.5) + 10.75(2)(5)

72.56 + 10.75(2)(5)

72.56 + 107.50

Now we add!!

72.56 + 107.50

180.06

Your answer is 180.06 :)

Have an amazing day!!

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Answer:

There is 1/6 chance that you will roll a 5

Step-by-step explanation:

Hope that helps!

Answer:

D, C, E, A, B

Step-by-step explanation:

This is essentially the construction of a perpendicular bisector.

D. Draw a straight line from the center, O, through P and extending past P

C. With the compass on P, draw an arc on each side of P. Label the intersections Q and R.

E. With the compass on Q, set its width to a setting greater than. Make an arc outside the circle

A. Without changing the compass width, place the compass on R and make another arc, intersecting the first, and label the intersection S

B. Draw a line through P and S.

Arc length is the distance between 2 points in the arc of a circle. The arc of the circle could be calculated by using the following formula: Arc: Length = Θ x r

What does arc mean?

In general, the arc is a portion of the curve. In mathematics, unless otherwise begain, then arc usually refers to the portion of the circle. Types of arcs. A chord, or the central angle and an inscribed angle may divide the circle into 2 arcs.

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#SPJ2

Answer:

50.29in

Step-by-step instructions:

First find the semi-circular part:- 1/2×2πr

=1/2×2×22/7×9

=28.29

Find whole perimeter:- 28.29+5+5+12 = 50.29 in

Answer:

8. = 0.1x = -0.12. 8yz. 88. D. – 1.2. = y 2 3

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

Both these angles are equal because they are equal. So we make this equation:

8x + 36 = 5x + 60

-5x          -5x

3x + 36 = 60

      -36   -36

3x = 24

Divide both sides by 3:

x = 8

Answer:

A) 1.7

B) 4.5

C) 7.8

Answer:

Step-by-step explanation:

Simply put, it is similar to finding the area of a circle.

Therefore, a=pi*r^2

a=pi*23^2

a=529pi

a=1661.9 ft^2

Answer:

the answer should be -185

Answer:

0

Step-by-step explanation:

1/2 (18 + 14)- (18 - 14)^2

=1/2 (32) - 4^2

=16 - 16

=0

Answer:

35.4

Step-by-step explanation:

divide 72.8 by 6.5 to get the other two sides. Then you will have all four sides. From there you can add all four sides. 6.5 + 6.5 + 11.2 + 11.2 = 35.4. Hope that helps!

Hey there!

These are the factors of 12:

1, 2, 3, 4, 6, 12

These are the factors that add up to 7:

6+1

3+4

These are the factors of 12 that add up to 7 and multiply to 12:

3 & 4

Hope everything is clear.

Let me know if you have any questions!

Always remember:  Knowledge is power!

In this equation x=18

Work Shown:

5x-12=3x+24

Add 12 to both sides

5x-12+12=3x+24+12

Simplify

5x=3x+36

Subtract 3x from both sides

5x-3x=3x+36-3x

Simplify

2x=36

Divide both sides by two

2x/2 = 36/2

Simplify

x=18

Answer:

x=18

Step-by-step explanation:

1. Add 12 to both sides

5x-12 +12 = 3x+24 +12

2. Simplify

5x=3x+36

3. Subtract -3x from both sides

5x-3x=3x+36-3x

4. Simplify

2x=36

5. Divide both sides by same factor (2)

2x/2=36/2

6. Simplify

ANSWER: x=18

Answer:-1

Step-by-step explanation:

5x+7=2

5x=5

X=1

Answer:

The first one: 13.125 ft³

The second one: 67.5 ft³

Step-by-step explanation:

For the first one:

The volume of a prism is length x width x height.

So, in this shape, the length is 3 1/2, the width is 2 1/2, and the height is 1 1/2.

However, you can conver 1/2 to .5, to make it easier to multiply.

So, 3.5 x 2.5 x 1.5 = 13.125

Make sure to add ft³, the ft is the unit, feet, and the ³ is used to denote volume, because volume is 3  dimensional.

For the second one, same formula:

Length = 6, width = 2 1/2, and height = 4 1/2

6 x 2.5 x 4.5 = 67.5

Again, make sure to add ft³, the ft is the unit, feet, and the ³ is used to denote volume, because volume is 3 dimensional.

Answer:

13.125 [tex]ft^{3}[/tex]

Step-by-step explanation:

Volume is base * length * height.

In this case, the dimensions are 1.5, 3.5, and 2.5.

Assuming these values are the base, length, and height,

1.5 * 3.5 * 2.5 = 13.125 [tex]ft^{3}[/tex].

Also, using the volume formula, the bottom shape's volume is 67.5 [tex]ft^{3}[/tex].

Hope this helps!

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Answer: 4

Step-by-step explanation:

It sounds like you want to know how many pounds of coffee Latoya bought. First, let's figure out how much she spent. Subtract the amount she has left from the amount she started out with:

90 - 57.68 = 32.32

Latoya spent $32.32 on coffee. Since it cost $8.08 per pound, we can divide the total cost by 8.08 to figure out how many pounds she bought:

32.32/8.08 = 4

Answer:

Choice D.

Outlier

Unit conversion is a way of converting some common units into another. The cost of buying 0.45 pounds of Lily's tea is $144.93.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

As it is given that one gram is equivalent to 0.035273 ounces, while 1 pound is equal to 16 ounces. Therefore, if we convert 0.45 pounds to grams,

Pounds to Ounces

[tex]\rm 1\ pound = 16\ ounces\\\\0.45\ pounds = 0.45 \times 16 = 7.2\ ounces[/tex]

Grams to Ounces

[tex]\rm 1\ gram = 0.035273\ ounces\\\\1 ounce=\dfrac{1}{0.035273} = 28.35\ grams\\\\7.2\ ounces = 7.20 \times 28.35 = 204.12\ grams[/tex]

Since it is given that the cost of 1 gram of tea is $0.71, therefore, the cost of 204.12 grams of tea can be written as,

[tex]\rm Total\ cost= 204.12 \times \$0.71 = \$144.93[/tex]

Hence, the cost of buying 0.45 pounds of Lily's tea is $144.93.

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Answer:

29 square root or 5.39

Step-by-step explanation:

Answer:

5.39 units.

Step-by-step explanation:

Distance = √(-8-(-3))^2 + (5-7)^2)

= √((-5)^2 + (-2)^2)

= √(25+ 4)

= √(29)

= 5.39.

Answer: B. 24

Step-by-step explanation:

8 / 1/3 =

8 * 3 +

24

Answer:

24

Step-by-step explanation:

8 divided by 1/3=24

1/3x4=1 1/3

1/3x12=4

1/3x24=8

1/3x20=7 1/3

Answer:

[tex]\displaystyle 9,6[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x}{6,4} = csc\:42 \hookrightarrow 6,4cot\:42 = x \hookrightarrow 9,5646499191... = x \\ \\ 9,6 ≈ x[/tex]

OR

[tex]\displaystyle \frac{6,4}{x} = sin\:42 \hookrightarrow xsin\:42 = 6,4 \hookrightarrow \frac{6,4}{sin\:42} = x \hookrightarrow 9,5646499191... = x \\ \\ 9,6 ≈ x[/tex]

Information on trigonometric ratios

[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]

I am joyous to assist you at any time.

Answer:

what does the -514 relate with 11/12?

Step-by-step explanation:

11/12 written as a decimal is .91

Answer:

It would be -514.916 with a _ over the six.

Step-by-step explanation:

11/12 is equal to 0.916666, where the six goes on forever. This is called a repeating decimal. In a repeating decimal, you would put this symbol _ over the number that repeats, in this case, 6. Or you would round, but that"s not given in this question.

Answer:

5

Step-by-step explanation:

5/8 times 7 is 35/8. Round that to the nearest integer up and you get 5.

Answer:

B

Step-by-step explanation:

-4+4=0

If the temperature starts at -4 four and increases by 4, the temperature will be 0.

Answer:

Step-by-step explanation:

The amount of fencing provided is 240 meters, and it only needs to cover 3 sides, as one side is the river and does not need to be fenced. 240/3 is 80, which is the length and width of the pasture. 80 is the length and width because squares have a larger area than rectangles if the perimeter is the same.

In conclusion, the pasture is a square with side length of 80. The dimensions of the pasture are 80x80

Hope this helped :)