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Natali [406]
3 years ago
13

The blueprint of a pool has a scale of 2 inches equals 7 feet. The scale drawing is shown below. the length is 20 and the width

is 10 Part A What are the actual dimensions of the pool? Enter your answers in the boxes. Blueprint: 10 in. Actual: ft Blueprint: 20 in. Actual: ft Part B How much would it cost to buy a cover for the pool that costs $0.30 per square foot? Enter your answer in the box. $
Mathematics
1 answer:
AlladinOne [14]3 years ago
8 0

Answer:

Part A:

Blueprint 10 inches ⇒ Actual 35 feet

Blueprint 20 inches ⇒ Actual 70 feet

Part B:

The cost of the cover is $857.5

Step-by-step explanation:

Part A:

∵ The drawing scale is 2 inches for 7 feet

∵ The length = 20 inches and the width = 10 inches

∴ The actual length = (20 × 7) ÷ 2 = 70 feet

∴ The actual width = (10 × 7) ÷ 2 = 35 feet

Part B:

∵ The cost per square foot = $0.35

∵ The area of the pool = 70 × 35 = 2450 feet ²

∴ The cost of the cover = 2450 × 0.35 = $857.5

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The population of a city is 250,000 and the annual growth rate is 2.2%. Write an equation to model the population y after x year
Zinaida [17]

Answer:

y= 250000(1.022)^x

Step-by-step explanation:

The population of a city is 250,000 and the annual growth rate is 2.2%

General equation for exponential growth is

y= P(1+r)^x

Where y is final population and P is the initial population

'r' is the rate of growth and x is the number of years

p = 25000 and r= 2.2%= 0.022. Replace all the values in the general equaiton

y= P(1+r)^x

y= 250000(1.022)^x

3 0
3 years ago
Divide 180 in a ratio of 4:5:9
Amiraneli [1.4K]
Ratio in which 180 should be divided is 4:5:9
firstly we need to find the total number of portions 
this we can find by adding all the numbers making up the ratio 
4 + 5 + 9 = 18
180 is made of 18 portions 
size of 1 portion = 180 / 18 = 10
when dividing 180 into the respective ratio 4:5:9 the portions are as follows
4 x 10 = 40
5 x 10 = 50
9 x 10 = 90
therefore when we divide 180 in the ratio 4:5:9
the answer we get is
40 :50: 90

7 0
3 years ago
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Susan works as a tutor for $10 and hour, and as a waitress for $11 an hour. This month, she worked a combined total of 90 hours
uysha [10]

Answer:

\$(990-t)

Step-by-step explanation:

The correct question is

Susan works as a tutor for $10 and hour, and as a waitress for $11 an hour. This month, she worked a combined total of 90 hours at her two jobs. Let t be the number of hours Susan worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month

Let

t -----> the number of hours that Susan work as a tutor

y ----> the number of hours that Susan work as a waitress

z ---> the combined total dollar amount she earned this month

we know that

t+y=90

y=90-t-----> equation A

we know that

The combined total dollar amount she earned this month is equal to the number of hours that Susan work as a tutor multiplied by $10 plus the number of hours that Susan work as a waitress multiplied by $11

z=10t+11y ----> equation B

substitute equation A in equation B

z=10t+11(90-t)

z=10t+990-11t

z=990-t

therefore

The expression for the combined total dollar amount is $(990-t)

3 0
3 years ago
4. Determine whether the statement is true or false. Prove the statement directly from the definition if it is true, and give a
natta225 [31]

Answer:

The statement is false.

Step-by-step explanation:

Let a and b represent two odd integers.

The average (A) is defined by:

A=\frac{a+b}{2}

In order to prove the statement, you have to show that it's true for all odd integers. But, to disprove it, you just have to find a counterexample where the statement is false.

Notice that it is easier to try to find a counterexample.

For example, a=3 and b=5

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The result of the average is even, therefore the statement is false.

The previous calculation is a counterexample.

3 0
3 years ago
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