MATHEMATICS COLLEGE

Compact and oversized tires are produced on two different machines. The table shows the number of each type of tire produced, y, depending on the number of hours, x, the machines work.

Answers

Answer 1

Answer:

Answer:

OPTION B: 57x - 3

Step-by-step explanation:

Total tires produced is the sum of number of over-sized tires and the number of compact tires.

So, we have when x = 1, tires, y = 23 + 31 = 54

When x = 2, total tires y = 48 + 63 = 111

When x = 3, total tires y = 73 + 95 = 168

When x = 4, total tires y = 98 + 127 = 225

We can substitute the options to check which one will be the correct representation.

Option A: 55x - 1

When x = 1, y = 55(1) - 1 = 54

When x = 2, y = 55(2) - 1 = 109 $\ne$ 111

So, this option is eliminated.

Option B: 57x - 1

When x = 1, y = 57(1) - 3 = 54

When x = 2, y = 57(2) - 3 = 111

When x = 3, y = 57(3) - 3 = 168

When x = 4, y = 57(4) - 3 = 225

These values exactly match with the values from the table. So, Option B is the right answer.

Option C: 110x - 2

When x = 1, y = 110(1) - 2 = 108 $\ne$ 54

Hence, this option is incorrect.

Option D: 114x - 6

When x = 1, y = 114(1) - 6 $\ne$ 54

Hence, this option is also eliminated.

Option B is the required answer.

Answer 2

Answer:

Answer: D

Step-by-step explanation:

the person above me was on the right track but needed to multiply the sum of the y values by 2. Therefore the answer should be D

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What is 04.151515... into a fraction

Answers

Answer:

$\displaystyle 4.\overline{15} = (137)/(33)$ .

Step-by-step explanation:

Start by separating this decimal number into its integer part and its fraction part:

$4.151515\cdots = 4 + 0.151515\cdots$

The most challenging task here is to express $0.151515\cdots$ as a proper fraction. Once that fraction is found, expressing the original number $4.151515\cdots$ will be as simple as rewriting a mixed number as an improper fraction.

Let $x = 0.151515\cdots$ . $(x + 4)$ would then represent the original number.

Note that the repeating digits appear in groups of two. Therefore, if the digits in $x$ are shifted to the left by two places, the repeating part will continue to match:

$\begin{aligned}x = 0.&151515\cdots && \n 100\, x = 15.& 151515\cdots \end{aligned}$ .

Note, that this "shifting" is as simple as multiplying the initial number by $100$ (same as $10$ raised to the power of the number of digits that needs to be shifted.)

Subtract the original number from the shifted number to eliminate the fraction part completely:

$\begin{aligned}&(100\, x) - x \n &= 15.151515\cdots\n & \phantom{=}- 0.151515\cdots\n&=15 \end{aligned}$ .

In other words:

$99\, x = 15$ .

$\displaystyle x = (15)/(99) = (5)/(33)$ .

Therefore, the original number would be:

$\displaystyle x + 4 = (5)/(33) = (132 + 5)/(33) = (137)/(33)$ .

In a survey of students, 60% were in high school and 40% were in middle school. Of the high school students, 30% had visited a foreign country. If a surveyed student is selected at random, what is the probability that the student is in high school and has visited a foreign country?

Answers

Answer:

The probability that the student is in high school and has visited a foreign country is 0.18.

Step-by-step explanation:

We are given that in a survey of students, 60% were in high school and 40% were in middle school.

Of the high school students, 30% had visited a foreign country.

Let the Probability that students were in high school = P(H) = 60%

Probability that students were in middle school = P(M) = 40%

Also, let F = event that students had had visited a foreign country

So, Probability that high school students had visited a foreign country = P(F/H) = 30%

Now, probability that the student is in high school and has visited a foreign country is given by = Probability that students were in high school $*$ Probability that high school students had visited a foreign country

= P(H) $*$ P(F/H)

= 0.60 $*$ 0.30

= 0.18 or 18%

Which of the following have a common denominator of 182 1/2 and 4/9
7/10 and 1 3/8
11/18 and 1 3/4
1 5/6 and 7/12

WILL MARK BRAINIEST AND WILL GET 5 STARS

Answers

Answer:

1.) $2(1)/(2)$ and $(4)/(9)$

Step-by-step explanation:

To see which have the common denominator of 18, you must convert the mixed factions to improper fractions first, then try to find the LCM. Use $a(b)/(c)=(ac+b)/(c)$

1.)

$2(1)/(2)=(5)/(2)$

$(5)/(2),(4)/(9)$

Find the LCM:

2,4,6,8,9,10,12,14,16,18,20

9,18

They both have the LCM of 18.

:Done

lola just received a promotion at work now earns $18 per hour. she writes the equation y=18x to represent her total earnings ,y, when she works x hour

Answers

Answer:

its A just took tha test

Step-by-step explanation:

Final answer:

The question is about representing Lola's total earnings when she works a certain number of hours. It can be answered using the equation y=18x, where y represents her total earnings and x represents the number of hours she works.

Explanation:

The question is about representing Lola's total earnings when she works a certain number of hours. She wrote the equation y=18x, where y represents her total earnings and x represents the number of hours she works.

This equation is similar to the example given about Svetlana's tutoring earnings, which is represented by the equation y=25+15x, where y is the total amount of money Svetlana earns and x is the number of hours she tutors.

Therefore, the subject of this question is Mathematics and it is appropriate for High School level.

Learn more about Representing total earnings with an equation here:

brainly.com/question/3899482

#SPJ2

There were 3 squirrels and 18 acorns on Josh’s back porch. What was the ratio of squirrels to acorns? Enter your answer in reduced form. (100 points!!)

Answers

Answer:

1:6

Step-by-step explanation:

Answer:

Step-by-step explanation:

1:6

Michael started a savings account with $300. After 4 weeks, he had $350 dollars, after 9 weeks, he had $400. What is the rate of change of money in his savings account per week?

Answers

Answer:

$12.50 per week

Step-by-step explanation:

See photos

Read first four weeks first

then read next four weeks

last read over eight weeks

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