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3 years ago

What is this answer

Mathematics

1 answer:

olga55 [171]3 years ago

4 0

Hello!

I've altered the diagram and attached it below. I've added a circle; circles measure 360°. Segment CD is half the measure of the circle, thus it measures 180°. That means that if you add all the angle measures up, they have to equal 180°. Let's make an equation.

180 = (4x + 8) + 34 + (76 - x)

Now we can solve algebraically for x.

180 = 4x + 8 + 34 + 76 - x
180 = 3x + 118
62 = 3x
20.67 ≈ x

Answer:
x ≈ 20.67

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Natalie consumes only apples and tomatoes. Her utility function is U(x, y) = x 2y 8 , where x is the number of apples consumed a

Kamila [148]

Answer:

16 apples.

Step-by-step explanation:

$U(x, y) = x^2y^8$

$MU_x =\frac{\partial U}{\partial x} = 2xy^8\\MU_y = \frac{\partial U}{\partial x} = 8x^2y^7\\$

Price of apples, Px=$4

Price of tomatoes, Py=$3

Ratio of their Marginal Utilities

$\frac{MU_x}{MU_y} = \frac{Px}{Py}$

$\frac{y}{4x} = \frac{4}{3}$

$y=\frac{16x}{3}$

Since Natalie’s income is $320

320 = xPx+yPy

$320=4x + 3*\frac{16x}{3} \\320= 4x+16x = 20x\\x=\frac{320}{20} = 16\\Also\\y=\frac{16x}{3}=\frac{16X16}{3}=\$85.33$

Since x=16, Natalie will consume 16 apples.

6 0

3 years ago

Jen ran for 10 minutes with the speed of 6 mph and then walked for 30 minutes at a speed of 3 miles per hour. What is the total

MaRussiya [10]

Answer:

The total distance covered by Jen was 4 miles.

Step-by-step explanation:

The formula for the average speed is shown below:

speed = distance / time

In this question we need to find the distance covered, therefore we will adjust the formula as shown below:

distance = time*speed

We will need to convert the time from minutes to hours, we do that by dividing by 60.

The total distance covered by Jen is the sum of the distances on each stage of his course, therefore:

total distance = distance 1 + distance 2

Applying the correct formula:

total distance = (time1 * speed1) + (time2 * speed2)

total distance = [(10/60)*6] + [(30/60)*3]

total distance = [60/60] + [90/60] = 1 + 3 = 4 miles

THe total distance covered by Jen was 4 miles.

4 0

3 years ago

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Please help me answer question number 3.

scoray [572]

It’s A
six more than a number which is y- (y+6)
is 10.03
so y+6=10.03

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4 years ago

Paula finished the race at 2:14 p.m Beatrice finished the race 22 minutes earlier what time did Beatrice finish the race a 1:54

Digiron [165]

Answer: 1:52 PM

Step-by-step explanation:

PAULA: 2:14PM FINISHED THE RACE

BEATRICE: FINISHED 22 MINUTES EARLIER THEN PAULA

YOU TAKE 2:14PM AND SUBTRACT THE 22 MINS BEATRICE RAN TO GET YOU ANSWER.

SO 2:14 -14 MINS=2:00PM 14+8=22 (THE MINS BETRICE FINISHED)

2:00-8 MINS ( REMAINING FROM THE 22 ) THEN 2:00-8 MINS =1:52

ANSWER:1:52PM

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2 years ago

A person riding in a elevator travels 240 feet in 30 seconds. What equation represents this relationship? How many feet will the

frosja888 [35]

The answer to this question is letter C

We can approach this by first finding the rate of feet per second traveled.

240(feet)/30(seconds)= 8 feet per second.

This answer resembles the slope for answer choice C.

To find the distance traveled in 10 seconds we do 10*8= 80 feet.

I hope this helps, please like and brainliest if correct, thank you!

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3 years ago

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