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kirill115 [55]
3 years ago
13

I’m confused to solve no.13 plz help me!!!

Mathematics
1 answer:
balu736 [363]3 years ago
6 0
Ask Google OK buddy you will get some nice help or go in some special maths videos
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Dennis is cutting construction paper into rectangles for a project he needs to cut one rectangle that is 12 inches times 15 1/4
Nataly_w [17]

Answer:

Dennis need 288.91 square inches of construction paper for his project.

Step-by-step explanation:

Dennis is cutting construction paper into rectangles for a project.

He needs to cut one rectangle that is 12 inches times 15 1/4 inches

First convert the mixed fraction to improper fraction

15\frac{1}{4} = \frac{(15\times4) + 1}{4} = \frac{61}{4}

So the area of 1st rectangle is

A_1 = 12\times \frac{61}{4} = 183 \: in^{2}

He needs to cut another rectangle that is 10 1/3"" x 10 1/4""

The symbol " means inches

First convert the mixed fraction to improper fraction

10\frac{1}{3} = \frac{(10\times3) + 1}{3} = \frac{31}{3}

10\frac{1}{4} = \frac{(10\times4) + 1}{4} = \frac{41}{4}

So the area of 2nd rectangle is

A_2 = \frac{31}{3}\times \frac{41}{4} = 105.91 \: in^{2}

The total construction paper needed for this project is

A = A_1 + A_2\\\\A = 183 + 105.91\\\\A = 288.91 \: in^{2}

Therefore, Dennis need 288.91 square inches of construction paper for his project.

6 0
3 years ago
In the last year, U.S. car sales of all makes and models have dropped by 16%. Let's say that a car dealer sells 325 cars. If thi
IRINA_888 [86]

Answer:

c. 273 cars

Step-by-step explanation:

First you need to find what 16% of 325 is

325x.16=52

because the number sold dropped by 16% you will subtract 52 from 325

325-52=273

you can also calculate the answer by subtracting 100% by 16%

100%-16%=84%

now you can calculate 84% of 325

325x.84=273

6 0
2 years ago
Suppose you are planning an experiment and a sample has yet been selected. For this experiment you plan on taking a SRS of 50 mi
Svetradugi [14.3K]

Answer: alternative D.

Step-by-step explanation: The two correct alternatives are A and B, which state that a larger sample would fit into the 95% confidence interval with a smaller margin of error, since<u> the more samples, the less is the deviance from its calculated average value</u>. If the sample size is bigger and the margin of error smaller, the tendency to choose randomly one individual and having a result closer to the true value of the average hormone level increases.

7 0
3 years ago
The price p in dollars and the quantity x sold of a certain product obey the demand equation -1/5x+100 (0≤ x ≤ 500)
olga nikolaevna [1]

Answer:

  • See below

Step-by-step explanation:

<u>We have:</u>

  • p = -1/5x + 100 = -0.2x + 100

a) <u>The revenue is:</u>

  • R = px
  • R = x( -0.2x + 100)
  • R= -0.2x² + 100x

b) <u>x = 200, find R:</u>

  • R = -0.2(200²) + 100(200) = 12000

c) <u>This is a quadratic function and the maximum value is obtained at vertex.</u>

  • x = -100/(-0.2*2) = 250 is the required quantity

d) <u>The max revenue is obtained when -0.2x + 100 at max:</u>

  • The maximum possible is p = 100 when x = 0
5 0
3 years ago
Read 2 more answers
can someone please help me out with this problem ? i been trying to do this for like 2 days now and i still don’t get it .. also
kotykmax [81]

Answer:

Step-by-step explanation:

the Pythagorean theorem is

c is the hypotenuse which is the side opposite of the right angle

plug the numbers into the Pythagorean theorem

x^2+(\sqrt{26})^2=13^2

when squaring a square root, just take the number in the radical and get rid of the radical

x^2+26=169

subtract 26 from both sides

x^2=143

find the square root of 143

143 is prime so it can just be written as

x=\sqrt{143}

6 0
3 years ago
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