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2 years ago

Helpppppp Unit rate with fractions. A crew of landscapers mowed 1/5 of a lawn in 20

Mathematics

1 answer:

cluponka [151]2 years ago

7 0

Answer:

1/5 lawn = 20 min.

? = 1 min

0.05 lawn in 1 minute

rate of 0.05 mowed per minute.

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If A=(0,0) and B=(8,2), what is the length of AB

NeX [460]

Answer:

$\boxed{\sf Distance_{AB}= 8.24 \ units }$

Step-by-step explanation:

Here two points are given to us and we need to find the distance between the two points . The given points are , A(0,0) and B(8,2) . The distance between the two points can be found out using the Distance Formula , which is ,

Distance Formula:-

$\sf\implies \green{ Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2}}$

Therefore on substituting the respective values ,we can find the Distance as ,

$\sf\longrightarrow Distance = \sqrt{ ( 0 - 8)^2 + (0-2)^2}$

Simplify the brackets ,

$\sf\longrightarrow Distance =\sqrt{ (-8)^2+(-2)^2}$

Square the numbers inside the squareroot ,

$\sf\longrightarrow Distance =\sqrt{ 64 + 4}$

Add the numbers inside the squareroot ,

$\sf\longrightarrow Distance = \sqrt{68}$

Find the value of squareroot,

$\sf\longrightarrow \boxed{\blue{\sf Distance = 8.24 \ units }}$

Hence the distance between the two points is 8.24 units .

3 0

2 years ago

Two cars got an oil change at the same auto shop. The shop charges customers for each quart of oil plus a flat fee for labor. Th

dexar [7]

Answer:

The labor fee is $14.25, each quart of oil costs $2.25.

Step-by-step explanation:

Let $x be thee price of each quart of oil and $y be a flat fee for labor.

1. If the oil change for one car required 5 quarts of oil, then these 5 quarts cost $5x and together with a flat fee for labor it cost $25.50. Thus,

5x+y=25.50.

2. If the oil change for another car required 7 quarts of oil, then these 7 quarts cost $7x and together with a flat fee for labor it cost $30.00. Thus,

7x+y=30.00.

3. Subtract from the second equation the first one, then

$7x+y-(5x+y)=30.00-25.50,\\ \\7x+y-5x-y=4.50,\\ \\2x=4.50,\\ \\x=\$2.25.$

Substitute it into the first equation:

$5\cdot 2.25+y=25.50,\\ \\y=25.50-11.25,\\ \\y=\$14.25.$

The labor fee is $14.25, each quart of oil costs $2.25.

6 0

2 years ago

Listen

melamori03 [73]

Answer:

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Step-by-step explanation:

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8 0

2 years ago

Read 2 more answers

Initially, there were only 86 weeds in the garden. The weeds grew at a rate of 8% each week. The following function represents t

dybincka [34]

The function is f(x) = 86(1.01)^7x; grows approximately at a rate of 1% daily

<h3>How to rewrite the function?</h3>

The function is given as:

f(x) = 86(1.08)^x

There are 7 days in a week.

This means that:

1 day = 1/7 week

So, x days is

x day = x/7 week

Substitute x/7 for x in

f(x) = 86(1.08)^(x/7)

Rewrite as:

f(x) = 86(1.08^1/7)^x

Evaluate

f(x) = 86(1.01)^x

In the above, we have:

r = 1.01 - 1

Evaluate

r = 0.01

Express as percentage

r = 1%

Hence, the function is f(x) = 86(1.01)^7x; grows approximately at a rate of 1% daily

Read more about exponential functions at:

brainly.com/question/11487261

#SPJ1

3 0

1 year ago

Jo eats 2,200 calories per day. She eats 450 calories at breakfast and twice as many at lunch. If she eats three meals with no s

tiny-mole [99]

Jo's lunch contains the most calories because if its twice breakfast and breakfast is 450 multiply that X2 you get 950. Then add 950 plus 450 you get 1400 then subtract 1400 from 2200 then you get the remaining 800 calories which shows that the most calories she eats is in her lunch meal.

7 0

3 years ago

Read 2 more answers