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3 years ago

Explain why 6:4 and 18:8 are not equivalent ratios

Mathematics

2 answers:

Westkost [7]3 years ago

4 0

Answer:

False, 6:4 and 18:8 are equal ratios.

Step-by-step explanation:

Given data:

6:4 ≠ 18:8

Explanation.

1. 6:4 = 6/4 = 3/2

2. 18:8= 18/8 = 9/4 = 3/2

Hence proved:

6:4 = 18:8

Ludmilka [50]3 years ago

3 0

Answer:

Step-by-step explanation:

The given ratios are 6:4 and 18:8

This is not clear from the given ratios that they are equivalent.

We further simplify these ratios.

6 : 4 = $\frac{6}{4}=\frac{3}{2}$

18 : 8 = $\frac{18}{8}=\frac{9}{4}$

Since these fractions are not equal therefore, these ratios can't be equivalent.

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Three students, Matthew, Thompson and Amos shared #15000 in the ratio of 5:2:x respectively. If Matthew's share is 7500, calcula

jasenka [17]

Answer:

The value of x is 3.

Step-by-step explanation:

Matthew earned 7500 of 15000, which is exactly half the total amount, meaning that the fraction corresponding to his earnings is 1/2.

Rate of 5:2:x, with number 5 corresponding to Matthew, mean that his fraction of the earnings, in function of x is given by:

$\frac{5}{5 + 2 + x} = \frac{5}{7 + x}$

Both fractions are equal, so:

$\frac{5}{7 + x} = \frac{1}{2}$

Applying cross multiplication:

$7 + x = 10$

$x = 10 - 7$

$x = 3$

The value of x is 3.

5 0

2 years ago

1.) You are one of five people who have been hired to mow the lawn at the local college. Each week, the dimensions of the plot y

iren [92.7K]

Answer:

1a) Length = 7x + 3 & Width = 4x - 2

1b) Area = $28x^2 -2x -6$

1c) Area = 2774 sq. m

2. $(x-4)(y+7)$

Step-by-step explanation:

1a)

The length given as words is "3 more than 7 times x"

The width given as words is "4 times x minus 2"

The expression for length would be 7x + 3

The expression for width would be 4x - 2

1b)

The area is length * width

Since we already know the algebraic expressions for length and width from part (a) above, we use the formula:

Area = (7x+3)(4x-2) = 28x^2 -14x + 12x - 6 = 28x^2 -2x -6

Area = $28x^2 -2x -6$

1c)

Given x = 10, we put this into the area expression we found in (b) above.Let's see:

$28x^2 -2x -6\\=28(10)^2 -2(10) -6\\=2774$

Area = 2774 sq. m

We can group the first two terms and next two terms and write up:

$xy-4y+7x-28\\(xy-4y)+(7x-28)\\y(x-4)+7(x-4)\\(x-4)(y+7)$

That's the factored form.

8 0

3 years ago

Read 2 more answers

Ethan is conducting an experiment to determine whether a new medication is effective in reducing sneezing. He finds 1,500 volunt

ahrayia [7]

Since the aim of experiment is to check the effectiveness of a new medication, for a better conclusion and results, Ethan must perform some statistical testing i.e. hypothesis testing.

Based on results from that hypothesis testing Ethan can decide if there is a significant decrease of sneezing in the patients of treatment group or not.

However, before performing any such testing, Ethan can also observe the data and conclude on basis of his observations i.e. if considerable number of patients in treatment group show reduced signs of sneezing then the new medicine is effective in reducing sneezing.

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3 years ago

What is the easiest way to re learn ratios

enot [183]

Answer:

Step-by-step explanation:

Ratios are no different from fractions. They are "comparisons" of 2 or more things. Instead of fraction bars, they use colons to separate 2 different things.

For example:

$\frac{1}{2}$ $=1:2$