MATHEMATICS HIGH SCHOOL

Lorenzo and Nicole survey students about their favorite subject. Lorenzo surveys 24 students. This is 4 times as many as the 6 students that Nicole suverys. Write an equation that represents this situation

Answers

Answer 1
Answer:

Answer:

y = 4 * x

y is the number of students that Lorenzo surveys,

x is the number of students that Nicole surveys.

Step-by-step explanation:

Lorenzo surveys 24 students, so we can use this value as the left side of our equation.

The number of students that Lorenzo surveys is 4 times as many as the number of students that Nicole surveys, that is 6. So, we use the value of 6 in the right side of the equation, and multiplied by 4 (the expression "4 times as many as" means that one value is the second one multiplied by 4)

The expression that represents this is:

24 = 4 * 6

If we use the variable y to express the number of students that Lorenzo surveys and x to express the number of students that Nicole surveys, we can write this equation:

y = 4 * x

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In a parking lot of 240 red and blue cars, the ratio of red cars to blue cars is 3:5. How many red cars are in the parking lot?

Answers

Given:
240 red and blue cars
3:5 ratio of red cars to blue cars

3 + 5 = 8

red cars: 3/8 * 240 = 90
blue cars: 5/8 * 240 = 150

ratio of red cars to blue cars: 90:150

simplify:
  90 ÷ 30 = 3
150 ÷ 30 = 5 

Thus: 90:150 = 3:5

Answer:

90, because 3/8 of the cars are red

Step-by-step explanation:

This is the answer on ttm.

Enter the next three terms in the geometric sequence. Round to the nearest tenth value. 36, 54, 81, 121.5, ...

Answers

Answer:

The next three terms of the sequence are 182.3, 273.5 and 410.3 respectively (all rounded to the nearest tenth value)

Step-by-step explanation:

A geometric sequence is one in which successive members are multiples of a constant common ratio.

From the sequence, we can identify that;

First term a = 36

common difference = 2nd term/first term = 3rd term/second term = 4th term/3rd term

Hence, common difference d = 54/36 = 81/54 = 1.5

The next three terms of the sequence are the 5th, 6th and 7th term respectively.

For the 5th term, we have 4th term × common ratio = 121.5 × 1.5 = 182.3

For the 6th term, we have 5th term × common ratio = 182.3 × 1.5 = 273.5

For the 7th term, we have 6th term × common ratio = 273.5 × 1.5 = 410.3

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Answers

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Step-by-step explanation:

The difference of seven halves and six quarters is multiplied by negative two fifths. Find this rational number.

Answers

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If Ben borrowed $20,000 for his business of a 10-year loan at 6.25%.a. What is the monthly payment of a Ben’s loan?
b. What will be the total of Ben’s monthly payments for the 10 years?
c. How much total interest did Ben pay for the loan?

Answers

Answer:

a. $104.17 monthly interest.

b. 120 monthly payments.

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Step-by-step explanation:

a.

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You are standing in one big palace where a king and his 5 queens stay. Each queen has 5 rooms. In each room there are 5 big cats. Each big cat has 5 little cats. Each cat has 4 legs.How many legs are there in the palace? Take ur time...

Answers

You = 2

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