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3 years ago

Tell whether the ratios form a proportion. 1 to 3 and 7 to 21

Mathematics

1 answer:

allochka39001 [22]3 years ago

7 0

Answer:

yes they form a proportion

Step-by-step explanation:

1 to 3 and 7 to 21 are equal

we can check this by multiplying each number in the 1 to 3 ratio by 7 to make it equal with the other ratio, 7 to 21.

(sorry if this is confusing but I hope it helped)

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A sample of n=8 scores has a mean of m=12. What is the value of ∑x for this sample

Andrews [41]

A sample of n=8 scores has a mean of m=12. What is the value of ∑x for this sample

Answer: We are given the mean of 8 scores is 12.

We are required to find the sum of these 8 observation's, $\sum x$

We know that:

$\bar{x}=\frac{\sum x}{n}$

We are given:

$\bar{x} = 12, n=8$

$\therefore 12=\frac{\sum x}{8}$

$\sum x = 12 \times 8$

$\sum x=96$

Hence, sum of 8 observation's, $\sum x =96$

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3 years ago

How do you know where to put the decimal point in problem 6?<br><br>6. 4 × 1.18

charle [14.2K]

Decimals are multiplied as if they were whole numbers, and then the decimal point is placed in the product. To find out where the decimal point should be placed, count the number of decimal places after the decimal point in each factor.

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3 years ago

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What's the simplest form of 18/4

avanturin [10]

The simplest form of 18/4 is 4.5 or 4 1/2

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3 years ago

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Explain the process to order the rational numbers from greatest to least.

ira [324]

9514 1404 393

Answer:

238, 234, 2.8, 2.125

Step-by-step explanation:

1. Find the place value of the left-most digit of the number. The number with the largest place value is greatest.

2. If both numbers have digits with the same place value, the number with the largest leading digit is greatest.

3. If both numbers have largest leading digits with the same value, ignore that digit and repeat the comparison from the first step.

<em>Application to the given list of numbers</em>

The two numbers with hundreds-place digits are ...

238, 234

Those both have 2 in the hundreds place, so we compare them ignoring the 2. That lets us compare ...

38 and 34

Both of these numbers have 3 as a leading tens-place digit, so we compare them ignoring the 3. That lets us compare ...

8 and 4

The ones-place digit 8 has a greater value than the ones-place digit 4, so ...

238 > 234

The number 234 has a hundreds-place digit while the remaining numbers to compare have only a leading ones-place digit. Hence both of them are less than 234.

Their ones-place digits are the same (2), so we compare them using the tenths-place digits:

0.8 and 0.125

The tenths-place digit 8 is greater than the tenths-place digit 1, so

2.8 > 2.125.

The ordering of the four number is then ...

238 > 234 > 2.8 > 2.125

6 0

3 years ago

Quiana took out a loan to pay for a new car initially she owed the lender 15,234.68. she has repaid 247.43 of the loan each mont

mario62 [17]

Given Information:

Initial amount of loan = $15,234.68

Monthly payment = $247.43

Number of months = 5

Required Information:

Net change in loan = ?

Answer:

Net change in loan = $1,237.15 = $1,237(3/20)

Step-by-step explanation:

Quiana owed her lender an amount of 15,234.68 initially, she repaid the lender each month with an amount of $247.43 for 5 months, so the total amount that she repaid is

Total amount repaid = Monthly payment*Number of months

Total amount repaid = $247.43 × 5

Total amount repaid = $1,237.15

The remaining owed amount is given by

Balance = Initial amount of loan - Total amount repaid

Balance = $15,234.68 - $1237.15

Balance = $13,997.53

So the net change to the loan from Quiana's perspective over the past 5 months is,

Net change in loan = Initial amount of loan - Balance

Net change in loan = $15,234.68 - $13,997.53

Net change in loan = $1,237.15

Net change in loan = $1,237(3/20)

Therefore, the net change to the loan from Quiana's perspective over the past 5 months is $1,237.15

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3 years ago