A student bought some pens at 8 each and some pencils at 31.50 each. If the total
number of pens and pencils purchased is 16 and their total cost is 50, how many pens
did he buy?
be
as his​

Answers

Answer 1

Step-by-step explanation:

Letthenumberofpensbexand

numberofpencilsbey

then

x+y=16ory=16−x

andtheirvalue

8x+1.5y=50

8x+(

2

3

)(16−x)=50

8x+24−(

2

3

)x=50

8x−(

2

3

)x=50−24

(

2

13x

)=26∴x=4

theny=16−x=16−4=12


Related Questions

If triangle CAT is similar to triangle DOG, which of the following statements is incorrect?

Answers

D is incorrect. Because they are similar does not mean the sides have to be congruent. Angles are always congruent in similar triangles but not the sides!

Answer:

D: AT = OG

Step-by-step explanation:

I just took this quiz so that's how I know

The histogram shows the duration, in minutes, of movies in theaters. A graph shows number of minutes labeled 84 to 147 on the horizontal axis and number of movies on the vertical axis. 2 moves are 84 to 91 minutes. 4 moves are 91 to 98 minutes. 5 movies are 98 to 105 minutes. 4 movies are 105 to 112 minutes. 3 movies are 112 to 119 minutes. 3 movies are 119 to 126 minutes. 2 movies are 126 to 133 minutes. 2 movies are 133 to 140 minutes. What relationship between the median and mean is shown by the histogram? The mean is less than the median. The median is less than the mean. The mean is equal to the median. The median and mean cannot be compared from a histogram.

Answers

The relationship between the median and mean shown by the histogram is; The median is less than the mean.

How to Interpret Histograms?

From the given histogram, we see that it has a lot of its data on the left side.

Now, since the histogram has a lot of its' data to the right side, then we can say that it's skewed to the right. However, when the histogram is skewed to the right, it denotes that the mean will be more than the median.

Thus, we can conclude that the median is less than the mean.

Read more about Histograms at; https://brainly.com/question/2962546

#SPJ2

Answer:

b

Step-by-step explanation:

Mr. Jacobs wants to save over $3,400 for a car. He has a savings account balance of $800 and will make equal weekly deposits for the next 25 weeks.

How much money should Mr. Jacobs deposit each week?

Answers

Answer:

64$

Step-by-step explanation:

Mr. jacobs should deposit $104 a week

The number of students increased by 25% between last year and this year. Last year there were 280 students.​

Answers

Answer:

11.2

Step-by-step explanation:

If point A is located at (-12, 6) on a coordinate plane, and point B is located at (4, 6), what is the distance between the two points? *

Answers

Answer:

the answer is (7,5) (5,5)

Convert 6.1x10^4 into standard form ASAP!

Answers

Answer:

= 61000

Step-by-step explanation:

Move the decimal place 4 places to the right

61000

Answer:

61,000

Step-by-step explanation: Ive studied this in middle school

Question 10
Which of the choices below is an irrational number?

Answers

Answer:

it is C  (squr. root 18)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

√18 because is not a perfect square or you can write it as a fraction

helpp me asapppppppp​

Answers

It’s 38 degrees because both of the angles are the same

What is the equation, in point-slope form, for the line with a SLOPE of -2 that passes through the point of (1,-4)?

Answers

Answer:

y=-2x+4

Step-by-step explanation:

What is the solution to the following inequality?
-82 ≤ 5v + 3

Answers

Answer:

v ≥ -17

Step-by-step explanation:

-82 ≤ 5v + 3

-82 - 3 ≤ 5v

5v ≥ -85

v ≥ -17

Help needed! Will mark brainliest!!
Directions; Write a system of equations for each of the descriptions below, and then solve the systems. Hint: you can graph the equations to find the solutions.

There are two numbers. The difference between them equals six, and one of the numbers is three times the other number. There are two pairs of numbers that satisfy these descriptions, What are they?

Answers

Answer:

3

Step-by-step explanation:

let the other number be x

3x-x=6

2x=6

x=6÷2

x=3

therefore the numbers are 9&3

answer:

3x - x = 6, y = 3x → Pair 1: 3 and 9, Pair 2: 9 and 3

i hope this helps!! ♡

Miguel Cabrera had a batting average of 0.33 last season.Mike trout had a batting average of 0.326 during the same season. Who had the higher batting average

Answers

Answer:

Miguel cabrera

Step-by-step explanation:

Given that :

Miguel cabrera's batting average = 0.33

Mike trout's batting average = 0.326

The average for both players was obtained during the same season:

Hence. Comparing their respective averages,

0.33 = 0.330

0.330 > 0.326

Hence, Miguel Cabrera's batting average is higher than that of Mike trout

What is the approximate circumference of a circle with the diameter of 9

Answers

Answer:

9pi

Step-by-step explanation:

circumference is 2(pi)(r) or diameter(pi)

A manufacturer needs to pay $300 to start making a certain new product. Besides the initial costs of $300, this product will also cost $18 per unit. The manufacturer wants to write an inequality to determine when the average cost per unit will be $24 or less.



Which inequality determines how many units (x) of the product need to be produced for the average cost to be $24 or less?

Answers

Answer:

[tex]\displaystyle \frac{300+18x}{x}\le 24[/tex]

Step-by-step explanation:

Average Cost

Making a certain new product costs $300 plus $18 per product.

The total cost for x products is given by:

300 + 18x

To get the average cost, we divide the total cost by the number of products manufactured:

[tex]\displaystyle A=\frac{300+18x}{x}[/tex]

If the manufacturer wants to keep the average cost at $24 or less:

[tex]\mathbf{\displaystyle \frac{300+18x}{x}\le 24}[/tex]

This is the required inequality

Hellppppp plzzz I’m bad at math-

Answers

I can’t really see the graph
I can’t see the slope on the graph

An order is written for 1200 adult weight 164 pounds and is 5/9 all with a BSA of 1.9 m to the physician ordered o n c o v i n 2 mg / M2 for chemotherapy treatment of a malignant tumor. Oncovin is supplied as 1 mg/ml. What volume should the patient receive per dose?

Answers

Answer:

The volume per dose that the patient should receive is 3.8 ml

Step-by-step explanation:

The physician ordered oncovin 2 mg/m² for chemotherapy treatment of a malignant tumor.

The adult's BSA (Body surface area) = 1.9m²

Hence, the amount of oncovin needed based on his body weight is:

2mg/1 m² = x mg/1.9m²

Cross Multiply

x mg = 2mg × 1.9

x = 3.8mg

We are told , oncovin is supplied:1 mg/ml

Hence:

This means

1 mg = 1 ml

3.8 mg = x ml

Cross Multiply

x ml = 3.8 ml

The volume per dose that the patient should receive is 3.8 ml

The price of Stock A at 9 A.M. was $12.98. Since then the price has been increasing at the rate of $0.07 each hour. At noon the price of Stock B rates continue, in how many hours will the prices of the two stocks be that same?

Answers

Let the hours when they equalize=h, then we have:
12.25 + .13h=13 - .09h
.13h + .09h=13 - 12.25
.22h=.75 divide both sides by .22
h=.75/.22
h=3 9/22, hours, when they will equalize.

Write an inequality for the graph below

Answers

Answer:

y ≤ -4x - 3

Step-by-step explanation:

First identify the line itself by using point slope [y - y1 = m(x - x1) ] given two points or find the slope by finding the rise of the line over the run [m = ∆y/∆x ] [∆ = change/difference]. Because you are already given the y-intercept, using the form y = mx + b, the y-intercept is -3 because that is where the line intersects the y axis or where x = 0 so b = -3.

Now from -3, you can tell that when you go 1 across, the line goes down 4 units so the slope or m must be -4. Because it goes from -3 to -7, that is a change of -4. This means the line is y = -4x - 3.

Because there is a solid line, and a shade (thought of as the y value) under the line, you will replace = [equal sign] with the ≤ [less than or equal sign]. Therefore the answer is y ≤ -4x - 3

Create an expression that would represent the area of the triangle

Answers

Answer:

96cm

Step-by-step explanation:

A=1/2bxh (Area=BasexHeight) is the formula to find it.

A=1/2x192

A=96

Order the set of integers from greatest to least. {-100, -89, -124, -69, -52}

Answers

Answer:

-52, -69, -89, -100, -124

Step-by-step explanation:

When your dealing with negative numbers the smaller number the larger it is.

Hope this helps have a nice day:)

Solve the system of equations 4x + y = 8 and 5x + 2y = 13 using any method.

Answers

Answer:

x=1, y=4 or (1,4)

Step-by-step explanation:

Step-by-step explanation:

4x + y = 8

-4x -4x

y = -4x+8

5x + 2y = 13

-5x -5x

2y/2 = -5x/2 + 13/2

y = -5/2x+13/2

Find the value of x in the triangle shown below

Chose 1 answer

A. x = 2

B. x = 5

C. x = square root of 5

D. x = square root of 17

Answers

Answer:d

Step-by-step explanation:

Answer:

i think d

Step-by-step explanation:

it seems right

This question is worth 100 points please answer now. Algebra 2. I will mark you brainliest.

Show all work to identify the asymptotes and zero of the function f of x equals 4 x over quantity x squared minus 16.

Answers

Answer:

The vertical asymptotes occur at x = 4 and x = -4

The zero of the function is (0, 0)

Step-by-step explanation:

The given function is [tex]f(x) = \dfrac{4\cdot x}{x^2 - 16}[/tex]

Therefore, we have;

[tex]f(x) = \dfrac{4\cdot x}{x^2 - 16} = \dfrac{4\cdot x}{(x - 4) \cdot (x + 4)}[/tex]

The asymptote is given at the value of x for which the denominator = 0, therefore, the asymptote are the values of x that make the denominator of the equation equal to zero, which are given as follows

For the asymptote, the denominator = x² - 16 = (x - 4)·(x + 4) = 0

Therefore, the vertical asymptotes are the lines x = 4 and x = -4.

The zero of the function is given as follows;

[tex]f(x) = \dfrac{4\cdot x}{x^2 - 16} = 0[/tex]

Therefore, 4·x = (x - 4)·(x + 4) × 0 = 0

x = 0/4 = 0

Therefore, when f(x) = 0, x = 0 and the zero of the function = (0, 0).

How are Ratios,rates and unit rates used to solve problems?

Answers

Answer:

hope u understand

Step-by-step explanation:

Unit rates can conveniently be multiplied by any desired number in order to answer questions about differently scaled questions. E.g. If three marbles cost 30 cents, how much will eleven marbles cost?

A unit rate is a ratio such as 30 cents : 3 marbles = 10 cents per (1) marble, after doing the division.

Answer:

ratios, rates, and unit rates can be used to solve how much of something there is compared to another thing.  Ex: There are 3 times the amount of apples compared to oranges.  How many apples are there if you have 2 oranges?  For a ratio, you would make it 3:1.  Then substitute the 1 for 2.  For a rate, you would make it 3 apples per oranges.  Then do the same thing you would do for the ratio.  Unit rates work the same way.

Step-by-step explanation:

sorry if this isn't the answer you were hoping for, but I tried

Select all of the symbols that would make the comparison true.
-7_4

Answers

The answer would be B ( > )

-4 is greater than -7
< because -7 is smaller than 4

The costs of 1 kg apples and 1 kg grapes are in the ratio of 9:7. The cost of 1 kg apples is Rs 20 more than the cost of 1kg grapes. Find the cost of 1 kg apples and 1 kg of grapes.

Answers

Answer:

Apple = Rs90

Grape = Rs70

Step-by-step explanation:

Given

Represent Apples with A and Grapes with G

Such that:

The ratio is

[tex]A : G =9:7[/tex]

And the price is

[tex]A = 20 + G[/tex]

Required

Determine the cost of 1 kg of each fruit

[tex]A : G =9:7[/tex]

Convert to fraction

[tex]\frac{A}{G} = \frac{9}{7}[/tex]

Cross Multiply

[tex]7A = 9G[/tex]

Make A the subject

[tex]A = \frac{9}{7}G[/tex]

Substitute [tex]\frac{9}{7}G[/tex] for A in [tex]A = 20 + G[/tex]

[tex]\frac{9}{7}G = 20 + G[/tex]

Collect Like Terms

[tex]\frac{9}{7}G - G = 20[/tex]

Take LCM

[tex]\frac{9G - 7G}{7}= 20[/tex]

[tex]\frac{2G}{7}= 20[/tex]

Multiply through by 7

[tex]7 * \frac{2G}{7}= 20 * 7[/tex]

[tex]2G= 20 * 7[/tex]

Divide through by 2

[tex]\frac{2G}{2} = \frac{20 * 7}{2}[/tex]

[tex]G = \frac{20 * 7}{2}[/tex]

[tex]G = 10 * 7[/tex]

[tex]G = 70[/tex]

Substitute 70 for G in [tex]A = \frac{9}{7}G[/tex]

[tex]A = \frac{9}{7} * 70[/tex]

[tex]A = 9 * 10[/tex]

[tex]A = 90[/tex]

please help this is 95% of my grade

Answers

Answer:

Part 1:

Domain= {2,3,8,9}

Range = {7,9,14}

Part 2: Yes it is not a function

Step-by-step explanation:

Domain is the first number

Range is the second.

Domain= {2,3,8,9}

Range = {7,9,14} ( Notice that 14 is noted twice so just put it as once and this is not part of the answer)

Function: Is any of the domain numbers the same: Answer Yes it's a function.

Consider the conditional statement:
"If the store has the Playstation 5 in stock, then I will buy one."
What is the conclusion of the statement?

Answers

Answer:

he's getting the ps5

Step-by-step explanation:

In conclusion if the store has the ps5 he's getting it and if not he wont

Mildred has a bag of coins. The bag contains 10 dimes, 5 nickels, and 1 penny. She will randomly select 2 coins from the bag one at a time without replacement. What is the probability that Mildred will select a dime first and then a penny?

Answers

Answer:

Total possibilities = 16

Probability of a dime of the first draw is 10/16 = 5/8

Probability of a penny on the second draw = 1/15

Probability of both = 5/8 * 1/15 = 1/24

What is the inequality? Will give brainliest.

Answers

Answer:

-8

Step-by-step explanation:

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