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andreyandreev [35.5K]
3 years ago
8

Salma bought  n  packs of pencils. Each pack has  15  pencils. Write an equation to represent the total number of pencils  p  th

at Salma bought​
Mathematics
1 answer:
valina [46]3 years ago
5 0

Answer:

n÷15=p

Step-by-step explanation:

if it is wrong im sorry if it is right good job .

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The length of a photograph is 3cm less than twice the width. The area is 54cm². Find the dimentions of the photograph.
AnnyKZ [126]
L=2w-3 

w(2w-3)=54

2w²- 3w-54=0

A= 2 , B= -3, C= -54

sub values into quadratic formula
 i attached picture of formula

Final answer:  you will be given 2 answers 6 and -4.5. -4.5 is rejected since a negative value cannot represent length because that just doesn't make sense.

w=6

Check:
L=2w-3
=2(6)-3
=12-3
=9
  9*6=54

Therefore the dimensions of the photograph are 6 cm by 9 cm



3 0
3 years ago
Read 2 more answers
The mean income per person in the United States is $44,500, and the distribution of incomes follows a normal distribution. A ran
Artist 52 [7]

Answer:

We conclude that the residents of Wilmington, Delaware, have higher income than the national average

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = $44,500

Sample mean, \bar{x} = $52,500

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, s =  $9,500

a) First, we design the null and the alternate hypothesis

H_{0}: \mu = 44,500\text{ dollars}\\H_A: \mu > 44,500\text{ dollars}

We use one-tailed(right) t test to perform this hypothesis.

c) Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{52500 - 44500}{\frac{9500}{\sqrt{16}} } = 3.37

b) Rejection rule

If the calculated t-statistic is greater than the t-critical value, we fail to accept the null hypothesis and reject it.

Now,

t_{critical} \text{ at 0.05 level of significance, 15 degree of freedom } = 1.753

Since,                    

t_{stat} > t_{critical}

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. We conclude that the residents of Wilmington, Delaware, have higher income  than the national average

5 0
3 years ago
(GIVING BRAINLIEST!!)
AysviL [449]

Answer:

1 3/10

Step-by-step explanation:

Find the common denominator.

6/15 times 2

12/30

3/10 times 3

9/30

3/5 times 6

18/30

Add.

12/30 + 9/30 + 18/30 = 39/30

Simplify

13/10 = 1 3/10

3 0
3 years ago
What is the area, in square meters, of a right triangle with sides of length 8 meters, 15 meters, and 17 meters?
cestrela7 [59]

I believe it would be E. YW

6 0
3 years ago
The area if a rectangular frame is 32 square inches. The perimeter of the frame is 24 inches. Which shows the correct dimensions
Zarrin [17]

Answer:

8 x 4

Step-by-step explanation:

Lets say the length is x and the width is y.

xy = 32

2x + 2y = 24

Rearranging the second equation, we get:

2x = 24 - 2y

/2         /2

x = 12 - y

substitute into the first equation

y(12 - y) = 32

12y - y^2 = 32

-32             -32

-y^2 +12y - 32 = 0

x -1                      x -1

y^2 - 12y + 32 = 0

(y - 8)(y - 4) = 0

y = 8 or 4

substitute into x = 12 - y.

x = 12 - 8 = 4

x = 12 -4 = 8

so the correct dimensions are 4 x 8, as either x = 4 and y =8, or x = 8 and y = 4.

Hope I helped!

8 0
3 years ago
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