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alexdok [17]
2 years ago
9

Donna's company reimburses her expenses on food, lodging, and conveyance during business trips. The company pays $50 a day for f

ood and lodging and $0.60 for each mile traveled. Donna drove 200 miles and was reimbursed $1,620.
Part A: Create an equation that will determine the number of days x on the trip. (3 points)

Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points)

Part C: How many days did Donna spend on this trip? (1 point)
Mathematics
1 answer:
Maksim231197 [3]2 years ago
3 0

A.

Multiply the number of days, x by 50 per day to get 50x.

Next multiply the number of miles driven to the amount she gets per mile: 0.60 x 200 = $120

Now add both together to equal the total of 1620.

The equation becomes: 50x +120 = 1620

B.

50x +120 = 1620

Step 1: subtract 120 from both sides ( subtraction property of equality):

50x = 1500

Step 2: Divide both sides by 50 ( division property of equality):

x = 1500 / 50

x = 30

C.

The trip lasted 30 days.

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Answer:

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Explanation:

This question comes with four answer choices:

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You just need to find a rough estimate of the volume of the jar and the volume of one jelly bean. This is called magnitude order.

The <em>jellybean ja</em>r is cylindrical, Thus, its volume is \pi \times radius^2\times height

To find the order of magnitude, you just use the numbers rounded to one signficant figure: round π to 3, the radius to 5, cm, and the height to 10:

            Volume\approx 3cm\times (5cm)^2\times10cm=750cm^3\approx1,000cm^3

The order of magnitude for the radius of a jellybean is 1 cm. And the order of magnitude of the volume of a sphere with a radius of 1 cm is the cube of the diameter (2cm):

             (2cm)^3=8cm^3\approx10cm^3

Hence, a reasonable lower limit for the number of jellybeans in the jar is:

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2 years ago
Translate the sentence into an equation. Use n for the number.
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Answer:

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Step-by-step explanation:

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A glass bead has the shape of a rectangular prism with a smaller rectangular prism removed. What is the volume of the glass that
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The volume of the removed portion is 35 cm³.

Step-by-step explanation:

Given,

The length× width× height (L×B×H) of the outer part = 3 cm×3 cm×7 cm

The length× width× height (l×b×h) of the inner part = 2 cm×2 cm×7 cm

To find the volume of the removed portion.

Formula

The volume of the removed portion = volume of outer part - volume of inner part

Volume of rectangular prism = l×b×h

Now,

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Volume of inner part = 2×2×7 cm³ = 28 cm³

Hence,

The volume of the removed portion = 63-28 cm³ = 35 cm³

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A helicopter flies 8 km due north from A to B. It then flies 5 km from B to C and returns to A as shown in the figure. Angle ABC
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Please consider the attached graph.

We have been given that a helicopter flies 8 km due north from A to B. It then flies 5 km from B to C and returns to A as shown in the figure. The measure of angle ABC is 150°. We are asked to find the area of triangle ABC.

We will use trigonometric area formula to solve our given problem.

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