If it takes Mark twice as long to earn $6.00 as it takes Carl to earn $4.00, what is theratio of Mark’s pay per hour to Carl’s pay per hour?

Answers

Answer 1

Answer:

The ratio of Mark’s pay per hour to Carl’s pay per hour is 3:4 given that Mark takes twice as long as to earn $6.00 as it takes Carl to earn $4.00. This can be obtained by dividing their hourly wages.

What is the required ratio?

Given that, Mark takes twice as long as to earn $6.00 as it takes Carl to earn $4.00.

(Time taken for Mark to earn $6)=2×(Time taken for Carl to earn $4)

Time taken for Mark to earn $3 = Time taken for Carl to earn $4

This means that Mark takes the same amount of time to earn $3.00 as Carl earn $4.00.

Thus the ratio of Mark’s pay per hour to Carl’s pay per hour, 3/4 = 3:4

Learn more about ratio here:

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Answer 2

Answer: If it takes Mark twice as long to make $6.00 than Carl making $4.00, this means Mark made $3.00 in the time it took Carl to make $4.00.
So the ratio is $3.00 to $4.00, or 3/4.

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The average annual salary of the employees of a company in the year 2005 was ninety thousand dollars. It increased by the same factor each year and in 2006, the average annual salary was $91,200. Let f(x) represent the average annual salary, in thousand dollars, after x years since 2005. Which of the following best represents the relationship between x and f(x)?f(x) = 91.2(1.013)x
f(x) = 90(1.013)x
f(x) = 91.2(2.2)x
f(x) = 90(2.2)x

Answers

Answer: the second option (but you need to show the operator ^)

2005 --- 90,000
2006 --- 91,200

Factor 91,200 / 90,000 = 1.013

year salary

2005 --- 90,000 = (90,000) (1.013)^0
2006 --- 90,000 (1.013)^1
2007 --- 90,000 (1.013)^2

f(x) = 90,000 (1.013)^x

if you show the numbers in thousands 90,000 converts in 90

f(x) = 90 (1.013)^x

Find the area of the trapezoid at the right. the left side is 5cm, the the top is 6cm, the side is 5.4cm, and the bottom on the right is 2cm.

Answers

Answer:

To find the area of a trapezoid, we can use the formula:

Area = (1/2) × (sum of bases) × (height)

In this case, the bases are 6 cm and 2 cm, and the height is the distance between them, which we can find using the Pythagorean theorem:

height² = (side)² - (difference of bases/2)²

height² = 5.4² - (2-6/2)²

height² = 29.16 - 9

height² = 20.16

height = √20.16

height ≈ 4.49 cm

Now we can plug in these values to find the area:

Area = (1/2) × (6 + 2) × 4.49

Area = 4 × 4.49

Area = 17.96 cm²

Therefore, the area of the trapezoid is approximately 17.96 square centimeters.

Step-by-step explanation:

In which quadrant is the number –14 – 5i located on the complex plane?I
II
III
IV

Answers

Answer:

III

Step-by-step explanation:

- 14 tell you that you should be moving left of (0,0) That makes the answer either in quad 2 or quad 3.

- 5i tells you that you are moving down. That tells you that you are moving down.

You are in quad III. It the question was -14 + 5i, you would be moving left and up. That would put you in quad II.

Answer: III

Step-by-step explanation: on edg

Which number is not written in scientific notation

Answers

Answer:

D. 15x10^20

Step-by-step explanation:

The rule for scientific notation is that the coefficient has to be between 1 and less than 10. This means there is only one digit in front of the decimal. 15x10^20 should be written as 1.5x10^21 to follow the rule.

Answer:

Hey there!

e15 times 10^20 isn't written in scientific notation. For a number to be in scientific notation, the leading number must be between 1 and 10.

Let me know if this helps :)

A mad scientist develops a new memory pill and wishes to test it on a group of 11th grade students. He has a large number of sugar pills manufactured that look and taste exactly like the memory pills. He asks the manufacturer to prepare 50 envelopes, each containing a month's worth of doses of the memory pills, and 50 more envelopes with the same doses of sugar pills.The manufacturer then randomly labels the 100 envelopes with numbers from 00 to 99 and delivers them to the scientist. It has recorded which numbers go with the real pills, but it doesn't tell him. Which of the following adjectives describes this experiment?

A. Double-blind
B. Explanatory
C. Hawthorne
D. Blocked
E. Multi-factor

Answers

The adjective that best describes the experiment listed in detail above would be double-blind. This is because both the mad scientist and the manufacturer are both blind to each other's experiments.

Answer: Double-blind

Step-by-step explanation:

The adjectives describes this experiment is " Double blind "

An experimental study in which neither the subjects nor the experimenters know which subjects are in the test and control groups during the actual course of the experiments is known as double blind.

In the given situation, the mad scientist and the manufacturer are not related or they are both blind to each other's experiment.

Knowing the points A(−5, 2), B(3, 4), C(−4, −3), and D(4, −1), and that segment AB parallel to segment CD, what is the length of segment AB and segment CD, and do points A, B, C, and D form a parallelogram?A) AB=8 and CD=8; therefore, ABCD is a parallelogram
B) AB=2sqrt17 and CD=2sqrt17; therefore, ABCD is a paralleogram
C) AB=4sqrt5 and CD=4sqrt5; therefore, ABCD is a parallelogram
D) AB = 2sqrt17 and CD=4sqrt5; therefore, ABCD is a parallelogram

Answers

I did a graph using the points given, based on what I drew, I choose Choice A.

AB = 8 and CD = 8 ; therefore, ABCD is a parallelogram.

Lines AB and CD are parallel, they both have the same measure which is 8. That is why they form a parallelogram.

Line AC and BD both equal 5.

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