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3 years ago

Varies inversely as If x = 6 then y = 8. Find y when x = 4 . Y=

Mathematics

1 answer:

icang [17]3 years ago

8 0

Answer:

Explanation:

The statement is expressed as

∝

inverse means

variable

To convert to an equation introduce k, the constant of variation.

⇒

To find k use the given condition that y = 8 when x = 4

⇒

equation is

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

−−−−−−−−−−−−

→

⇒

when

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Is c+3/5=15 an identity

Mademuasel [1]

No, becuase c has to be a certain number to equal 15

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3 years ago

Pls help me with this:(((((

marishachu [46]

2: c

Step-by-step explanation:

3: a

by Supplementing each answer Into the equation

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2 years ago

Read 2 more answers

how many 5-digit even numbers can be formed with the digits 1,2,3,4,5, and 6 if repetition is allowed?

Setler79 [48]

Given:

The given digits are 1,2,3,4,5, and 6.

To find:

The number of 5-digit even numbers that can be formed by using the given digits (if repetition is allowed).

Solution:

To form an even number, we need multiples of 2 at ones place.

In the given digits 2,4,6 are even number. So, the possible ways for the ones place is 3.

We have six given digits and repetition is allowed. So, the number of possible ways for each of the remaining four places is 6.

Total number of ways to form a 5 digit even number is:

$Total=6\times 6\times 6\times 6\times 3$

$Total=3888$

Therefore, total 3888 five-digit even numbers can be formed by using the given digits if repetition is allowed.

6 0

3 years ago

Help me please solve the circled question show your work

Rasek [7]

Part 1) Use the fact that there are 12 inches in a foot

a) How many inches tall is a 7 foot basketball player?

we know that

1 foot=12 inches

so by proportion

$\frac{12}{1} \frac{inches}{foot} =\frac{x}{7} \frac{inches}{feet} \\ \\x=12*7\\ \\x=84\ inches$

therefore

the answer Part 1a) is

$84\ inches$

Part b) If a yard is a 3 feet long, how many inches are in a yard?

we know that

1 yard=3 feet

1 foot=12 inches

Convert 3 feet to inches

by proportion

$\frac{12}{1} \frac{inches}{foot} =\frac{x}{3} \frac{inches}{feet} \\ \\x=12*3\\ \\x=36\ inches$

therefore

the answer Part 1b) is

$36\ inches$

Part 2) At the farmer's market two pounds of peaches cost $4.20 How much will five pounds cost?

by proportion

$\frac{4.20}{2} \frac{\$}{pounds} =\frac{x}{5} \frac{\$}{pounds} \\ \\2*x=4.2*5\\ \\x=4.2*5/2=\$10.5$

therefore

the answer Part 2) is

$\$10.5$

Part 3) Janice mother gave her a ten dollars bill to buy five pounds each of bananas and apples at the grocery store. When she got there she found that bananas were 80 c per pound and apples were $1.40 per pound.

Did Janice's mother give her enough money? If so, should she receive any change? If not, how much more money does she need?

we know that

Find the cost of the bananas

$5\ pounds*0.80\frac{\$}{pounds}=\$4$

Find the cost of the apples

$5\ pounds*1.40\frac{\$}{pounds}=\$7$

Sum the cost of the bananas and the cost of the apples

$\$4+\$7=\$11$

$\$11 > \$10$ ------> Janice's mother didn't give her enough money

She needs more money

She needs-------> $\$11-\$10=\$1$

therefore

the answer part 3) is

She needs $\$1$ more

3 0

3 years ago

Aidan has 20 ft of fence with which to build a rectangular dog run. What is the maximum area he can enclose? Enter your answer i

irina1246 [14]

<h2>Maximum area is 25 m²</h2>

Explanation:

Let L be the length and W be the width.

Aidan has 20 ft of fence with which to build a rectangular dog run.

Fencing = 2L + 2W = 20 ft

L + W = 10

W = 10 - L

We need to find what is the largest area that can be enclosed.

Area = Length x Width

A = LW

A = L x (10-L) = 10 L - L²

For maximum area differential is zero

So we have

dA = 0

10 - 2 L = 0

L = 5 m

W = 10 - 5 = 5 m

Area = 5 x 5 = 25 m²

Maximum area is 25 m²

7 0

3 years ago