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3 years ago

Can someone help me with this problem please :)

Mathematics

1 answer:

Readme [11.4K]3 years ago

4 0

Answer:

y = $\frac{15}{2}$

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 10 when x = 20

k = $\frac{y}{x}$ = $\frac{10}{20}$ = $\frac{1}{2}$

y = $\frac{1}{2}$ x ← equation of variation

When x = 15, then

y = $\frac{1}{2}$ × 15 = $\frac{15}{2}$

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An 8/1/2 sheet of paper is being cut into 1/9/16 inch strips to make a paper chain. How many strips can be made from one sheet o

givi [52]

The number of strips of 1 9/16 inches, that can be made from 8 1/2 inches of paper is 5 11/25.

In the question, we are given that an 8 1/2 sheet of paper is being cut into 1 9/16 inch strip to make a paper chain.
We are asked the number of strips that can be made from one sheet of paper.

The size of the paper given to us is 8 1/2.

Converting this to an improper fraction, we get 8 1/2 = 17/2.

The size of the strip given to us is 1 9/16.

Converting this to an improper fraction, we get 1 9/16 = 25/16.

To find the number of strips, we just divide the total paper's size by the size of the strip, to get:

The number of strips = 17/2 ÷ 25/16,

or, the number of strips = 17/2 * 16/25,

or, the number of strips = 272/50,

or, the number of strips = 544/100,

or, the number of strips = 5 11/25.

Thus, the number of strips of 1 9/16 inches, that can be made from 8 1/2 inches of paper is 5 11/25.

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3 0

2 years ago

in a certain section of southern california, the distribution of monthly rent for a one-bedroom apartment has a mean of $2,075 a

yan [13]

The probability of selecting a 55 one-bedroom apartment is 1 and the value of z is 38.53.

Given,

Mean of rent of one bedroom apartment = $2075

The standard deviation of rent of the apartment = $300

n = 55

x' = $1985

We have to find x' to be at least $1985 which is P(x' > $1985).

The z-value is calculated from,

z = (x' - u)/√std. deviation/n

Putting the values, we get;

z = (1985 - 2075)/(√300/55)

or, z = -38.536

So, P(x' > $1985)

or, P(z > -38.5364)

This changes to:

P(z < 38.5364)

Hence the probability from the z distribution table is 1 and the value of z is 38.5364.

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2 years ago

How to Evaluate9^ 1/2 Lesson name- Algebra

tangare [24]

Answer:

ayan po answer nasa picture

4 0

3 years ago

Read 2 more answers

Is y = -4x + 15 parallel to 8x + 2y = 7

anygoal [31]

Answer:

yes

Step-by-step explanation:

4 0

3 years ago

2/3 m + 7 = 29 help me please

melisa1 [442]

Answer: M=33

Step-by-step explanation:

2/3m+7=29

-7= -7 subtract 7 from both sides

2/3m=22 since you can not divide fractions you will simply put 22 over 1 and

multiply by the recipocal of 2/3.

3/2*2/3=22/1*3/2 the first part of this equation cancels each other out.

m=22/1*3/2 two can go into 22, 11 and once into itself times so simplify

m=11/1*3/1 multiply numerators

m=33/1 or 33

6 0

3 years ago