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Alina [70]
3 years ago
10

. A retailer sold 10 packs of pens in 3 days. There were 48 pens in each pack. He sold twice as many pens on Sunday than on Mond

ay. He sold 55 pens fewer on Tuesday than on Sunday. How many pens did the retailer sell on Monday?
Mathematics
1 answer:
Marizza181 [45]3 years ago
5 0

Answer:

The number of pens sold on Monday is 107 pens

Step-by-step explanation:

total pack of pen sold by the retailer in 3 days =  10 packs

total number of pens in the 10 packs = 48 x 10 = 480 pens

let the number of pens sold on Monday = x

let the number of pens sold on Sunday = y

let the number of pens sold on Tuesday = z

He sold twice as many pens on Sunday than on Monday

y = 2x ------equation (1)

He sold 55 pens fewer on Tuesday than on Sunday

y = z + 55 ------equation (2)

total number of pens sold in the three days

y + z + x = 480  ------equation (3)

from equation (1) make x the subject of the formula

x = y/2

from equation (2) make z the subject of the formula

z = y - 55

substitute the value of x, and z into equation (3)

y + y/2 + y - 55 = 480

2y + y/2 = 480 + 55

5y/2 = 535

5y = 535 x 2

5y = 1070

y = 1070 / 5

y = 214

The number of pens sold on Monday is:

x = y / 2

x = 214 / 2

x = 107 pens

Thus, the number of pens sold on Monday is 107 pens

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Solve the inequality 2x−y⩾−5 for y. Which inequality represents the inequality in slope-intercept form?
aleksandr82 [10.1K]

Answer:

y\leq 2x+5

This represents slope intercept form: y = mx + b

Step-by-step explanation:

2x - y \geq -5\\2x+5\geq y

4 0
2 years ago
Write the equation of a line that is perpendicular to y=0.3x+6 and that passes through the point (3,-8)
Harman [31]

<u>First, find the perpendicular slope</u>

y = 0.3x + 6   ⇒ m = 0.3  = \frac{3}{10}

perpendicular slope =  -\frac{10}{3}

<u>Next, input</u> the point (x₁, y₁) and slope (m) into the Point-Slope formula

  y - y₁ = m(x - x₁)

y - (-8) = -\frac{10}{3}(x - 3)

 y + 8 = -\frac{10}{3}x + 10

      y = -\frac{10}{3} + 2


5 0
3 years ago
Pineapple Corporation (PC) maintains that their cans have always contained an average of 12 ounces of fruit. The production grou
krok68 [10]

Answer:

We accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.

Step-by-step explanation:

Pineapple Corporation (PC) maintains that their cans have always contained an average of 12 ounces of fruit.

This means that the null hypothesis is: H_0: \mu = 12

The production group believes that the mean weight has changed.

This means that the alternate hypothesis is:

H_a: \mu \neq 12

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

12 is tested at the null hypothesis:

This means that \mu = 12

They take a sample of 15 cans and find a sample mean of 12.05 ounces and a sample standard deviation of .08 ounces.

This means, respectibely, that n = 15, X = 12.05, \sigma = 0.08

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{12.05 - 12}{\frac{0.08}{\sqrt{15}}}

z = 2.42

Pvalue of the test:

We are testing if the mean is different from a value, which means that the pvalue is 2 multiplied by 1 subtracted by the pvalue of z = 2.42.

Looking at the z-table, z = 2.42 has a pvalue of 0.9922

1 - 0.9922 = 0.0078

2*0.0078 = 0.0156

What conclusion can we make from the appropriate hypothesis test at the .01 level of significance?

0.0156 > 0.01. This means that at the 0.01 level, we accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.

6 0
2 years ago
I need this answered ASAP
Lady bird [3.3K]

Answer:

23x^{2}

Step-by-step explanation:

This can be simplified by combing like terms.

8x^2 and 15x^2 are like terms. Since both numbers are positive, we add them together.

The sum of 8x^2 and 15x^2 is 23x^2

I hope this helps.

6 0
3 years ago
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