frank bought 6 pens and 3 highlighters in the school store and paid 21$ for the whole purchase. his friend andy paid 19$ for 2 pens and 4 highlighters. if all pens cost the same and all highlighters cost the same what is the price of one pen?


HELP ASAP

Answers

Answer 1

The price of one pen is $1.50.

What are the linear equations?

6p + 3h = 21 equation 1

2p + 4h = 19 equation 2

Where:

p = number of pens h = number of highlighters

What is the price of one pen?

In order to determine the price of one pen, take the following steps:

Multiply equation 1 by 4 and equation 2 by 3

24p + 12h = 84 equation 3

6p + 12h = 57 equation 4

Subtract equation 4 from 3

27 = 18p

p = $1.50

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Related Questions

HELP ASAP ! in the graph of a linear inequality, the shaded region above or below the line is called a half-

Answers

The shaded region that is above or below the boundary line of the inequality graph is called a: half-plane.

What is the Half-plane of a Linear Inequality?

An half-plane is a graph of a linear inequality which contains the set of possible values of that makes the inequality true.

Thus, the half-plane is the shaded part of the graph of an inequality, which can either be above or below the boundary line.

The shaded region is called the: half-plane.

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Do these data suggest an association between age and experiencing side
effects?
A. No. A greater percentage of both adults and children had no side
effects.
B. No. Adults were as likely to experience side effects as children.
C. Yes. A greater percentage of children experienced side effects
than adults.
D. Yes. A greater percentage of adults experienced side effects than
children.

Answers

answer would most likely be C

What is it called when you write a check for more money than you have in your
account?
OA. Overdraw.
OB. Overpay
O C. Interest rate.
OD. ATM Fee.

Answers

you bounce your check which whoever written it to won't receive the money


A couple deposits $21,000 into an account earning 7% annual interest for 20 years. Calculate the future value of the investment if the interest is compounded monthly
Round your answer to the nearest cent.

Answers

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$21000\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &20 \end{cases}[/tex]

[tex]A=21000\left(1+\frac{0.07}{12}\right)^{12\cdot 20}\implies A=21000\left( \frac{1207}{1200} \right)^{240}\implies A\approx 84813.52[/tex]

A circle has a radius of 5 and an angle of -60 degrees. What is the coordinates of the point on the circle

Answers

Answer:

x=2.5, y=-4.33

Step-by-step explanation:

[tex] x = 5 \times cos( - 60) = 2.5[/tex]

[tex]y = 5 \times \sin( - 60) = - 4.33[/tex]

Question 14 Write the equation of the reaches a slope of point-slope form.​

Answers

Answer:

y = 3x - 1 .

Step-by-step explanation:

The general  point-slope form is y = mx + c where m = slope and c is the y-intercept

As we are given the slope and one point we first use the point-slope form:

y - y1 = m(x - x1)

y - 5 = 3(x - 2)

y = 3x - 6 + 5

y = 3x - 1   (Answer).

Which is equivalent to 5x2y-5 / 10x6y10

Answers

Final Answer:

-x^2y • (x^4y^9 - 10)

—————————

2

1

:

1

Simplify —

2

Equation at the end of step

1

:

1

((5•(x2))•y)-((—•x6)•y10)

2

STEP

2

:

Equation at the end of step 2

x6

((5 • (x2)) • y) - (—— • y10)

2

STEP

3

:

Equation at the end of step 3

x6y10

((5 • (x2)) • y) - —————

2

STEP

4

:

Equation at the end of step

4

:

x6y10

(5x2 • y) - —————

2

184 cm sq one one of it's leg is 16 cm long.find the length of the other leg.

Answers

Answer: Let the one leg be=base=16cm

area=1/2×b×h

184=1/2×16×h

8h=184

h=184/8

h=23

so the height (perpendicular)=23cm

(hypotenuse)2=p2+b2

=square root (23×23+16×16)

=square root (785)

=28.01cm

therefore, H=28.01cm

P=23cm

help plsssssssssssssssssssssssssssssssssssssss

Answers

Answer:

A. p=0.42n

Step-by-step explanation:

2.52/6 = $0.42

$0.42 = the cost of one oranges

So,

To find the cost of n oranges you need to multiply it by 0.42

P=0.42 x n

Ex. Find the price of 4 oranges

So you're going to multiply 4 by 0.42 to get the cost of 4 oranges that will equals $1.68

The answer is p=0.42n

Which of the following pairs of values are NOT equal in a normal distribution curve?

Answers

The mean, median, and mode of a completely normal distribution will all have the same value, represented graphically by the top of the curve. The correct option is C.

What is a normal distribution?

The mean, median, and mode of a completely normal distribution will all have the same value, represented graphically by the top of the curve. The normal distribution is often known as the bell curve because the probability density graph resembles a bell.

The option that is not true for the normal distribution is the value of the mean and the height of the density curve at its lowest are not equal.

Hence, the correct option is C.

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please help :(

brainliest for the correct answer, thank yous, and stars!

Answers

Answer:

32

8

Not enough info

Step-by-step explanation:

4/5 of 40 is 32

40 - 32 = 8

We don't know the total number of marbles in the bag

Yuan has 5 quarts of broth. He uses 1/2 of the broth to make soup. Then, he uses 1/4 of the broth he has left to make gravy.
How much broth, in quarts, does Yuan have left after making soup and gravy?

Answers

Answer:

  1 7/8 quarts

Step-by-step explanation:

The amount Yuan has left can be found by multiplying the original amount by the fraction he has left.

__

used

After using 1/2 of the broth for soup, the fraction remaining is ...

  1 -1/2 = 1/2

The amount Yuan used for gravy is 1/4 of this, or ...

  (1/4)(1/2) = 1/8 . . . of the original amount of broth

The total fraction Yuan used was ...

  fraction used = fraction for soup + fraction for broth = 1/2 +1/8 = 5/8

remaining

Then the fraction remaining is ...

  fraction remaining = 1 - fraction used = 1 - 5/8 = 3/8.

The amount remaining is this fraction of the original amount:

  (3/8)(5 quarts) = 15/8 quarts = 1 7/8 quarts . . . . remaining

Determine the sum of the following arithmetic series. Show your work.

∑(k = 1)^22 (-5k + 12)

A. 946
B. -946
C. -2002
D. -1001

Answers

Answer:hope this helps

Step-by-step explanation:

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER. What is the volume of the square pyramid?

V=____mm^3(Round to the nearest 10th as needed.)

Answers

Step-by-step explanation:

the volume of any pyramid is

base area × height / 3

so, since we know the base area (a square with 23 mm side length), the only trick we need to do is to get the inner height (straight up in the middle from the base area to the top of the pyramid).

because this is a regular pyramid (the top of the pyramid is right above the middle of the base area), we can use Pythagoras for right-angled triangles

c² = a² + b²

with c being the Hypotenuse (the baseline of the triangle opposite of the 90° angle) and in our case the outer height along a side area triangle (24 mm).

the legs of that right-angled triangle are half of a base area side length (remember, the top of the pyramid is right over the middle of the base area square) and the inner height to the top.

so, we have

24² = 12.5² + height²

height² = 24² - 12.5² = 576 - 156.25 = 419.75

height = 20.48780125... mm

so, the volume of the pyramid is then

23² × 20.48780125... / 3 = 3,612.682287... mm³ ≈

≈ 3,612.7 mm³


Choose one of the following percents: 15%, 35%, Or 85%. Write and solve a word problem that uses you percent and involves finding the whole

Answers

Answer: On her math test, Elliana gets 6 questions wrong, or 15% of the total questions. How many questions are on the test?

Esplaination: She has 40 questions on the test because she has 40%/100  or 2/5 20x5=100 and 2x20=40

BTW the question is made up and goes togethetr with the bottom.

Use the information to answer the following questions.
A manager at a large company wants to understand whether the employees are feeling
overworked while completing a project. The company has 200 employees working on the project all
over the world, but the manager only has time and money to collect information from 50 people.
Part A: For this situation, which would be the best way to collect data?
A. census
B. survey
C. experiment
D. Observational study

Answers

If a manager at a large company wants to understand whether the employees are feeling. The best way to collect data is: B. survey.

What is survey?

Survey can be defined as the data or information collected from group of people so as to draw or reach a conclusion.

Based on the information Survey would be the best method that would be  suited to understand whether the employees are feeing overworked or not.

The manager can send an online survey to the employee so as to collect that data that will enables the manager to reach a conclusion.

Therefore the correct option is B.

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Brandon wants to conduct a survey as to whether mushrooms should be added
to the pizzas sold in the school cafeteria. Which sampling method will offer
Brandon the best results?
А interview every vegetarian student
B. interview every student at a pizza parlor
с interview every student who brings lunch from home
D
interview every student who eats lunch in the cafeteria

Answers

I think the answer is D: interview every student who eats lunch in the cafeteria

Chad rolls a 6-­‐sided number cube. Which of the following describes the probability of rolling a factor of 32?


Impossible


Unlikely

Equally likely as not

Likely

Certain

Answers

Answer:

1,2 and 4 are the factors of 32 in numbers between 1 to 6

so probability of rolling a factor of 32 is = 3/6 = 1/2

now, the probability of not rolling the factor of 32 = 1 - 1/2 = 1/2

therefore, The probability is same for both cases.

Your answer is Equally likely as not

By : Modern Einstein

Find the measure of the unknown angle with the help of a protractor. Describe the method you used to find the angle measure.

Answers

Answer: 90 degrees acute

Step-by-step explanation: math

A fair coin is tossed 16 times. What is the probability that exactly 8 tails occur? a) 0.0002 b) 0.1208 c) 0.0001 d) 0.1964 e) 0.0020 f) None of the above.

Answers

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. The probability that exactly 8 tails occur is 0.1963.

What is Binomial distribution?

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

P(x) = ⁿCₓ (pˣ) (q⁽ⁿ⁻ˣ⁾)

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

The probability of a tail occurring is 0.5, while the probability of a tail, not coming is 0.5, therefore, we can write p=0.5 and q=0.5.

Now, the probability of exactly 8 tails occurring can be written as,

P(X=8) = ¹⁶C₈ (0.5)⁽⁸⁾ (0.5)⁽¹⁶⁻⁸⁾

P(X=8) = 12,870 (0.5)¹⁶

P(X=8) = 0.1963

Hence, the probability that exactly 8 tails occur is 0.1963.

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A person to person payment app could be used in each of the scenarios except

Answers

Answer:

What are the options? We need to see the options to be able to answer the question :)

Step-by-step explanation:

I'll edit this once you add the scenarios

What is the reciprocal of 5 6/7 ?

Answers

It’s 0.170 that’s rounded

the value of a varies directly at the square of the value of b, and b=3 when a=10. find the value of a when b=9

Answers

Answer:

answer = 90

Step-by-step explanation:

General equation:  a = k*b^2

Specifically:          10 = k*(3)^2 = 9 k

Solving for k:  k = 10/9

Then a = (10/9)b^2.    If b = 9, then a = (10/9)(9)^2 = 90 (answer)

y² (-4y²-7) - 2y4 simplest form?

Answers

Answer:

-6y^4 - 7y^2

Explanation:

Distribute y2 with -4y2 and 7

-4y4 - 7y2 - 2y4

Combine the like terms, -4y4 and 2y4

-6y4 - 7y2

write an explicit formula for an, the nth term of the sequence 19,13,7,…

Answers

Answer:

-6n + 25

Step-by-step explanation:

First find the step: 6

This is because the sequence decreases by 6 each time.

Find the 'zero'th' term: 25

The term before the first term is 25, as you add 6.

- Educator

what is the answer? 2/3x-(1/2x+1)

Answers

Answer:

x-6/6

Step-by-step explanation:

all you have to do is these steps

Combine multiplied terms into a single fraction

2. Multiply by 1

I WILL LITERALLY GIVE YOU 100 POINTS PLEASE!!!

The dot plot shows how many attempts it took for each student to complete a puzzle:

Is the median or the mean a better measure of center for these data and why?

A. Mean, because the data are skewed and there are outliers
B. Mean, because the data are symmetric and there are no outliers
C. Median, because the data are skewed and there are outliers
D. Median, because the data are symmetric and there are no outliers

Answers

Answer:
D) Median, because the data are symmetric and there are no outliers

One week, Charlotte earned $333.00 at her job when she worked for 18 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $425.50?

Answers

Step-by-step explanation:

$333 for 18 hours work.

so,

333/18 = $18.50 for a single hour.

how many hours to make $425.50 ?

well, as often as the amount of 1 hour work fits into 425.5 :

425.5 / 18.5 = 23 hours

she will have to work 23 hours to make $425.50.

The number of hours Charlotte has to work the next week to earn $425.50 is 23 hours.

Given that, one week, Charlotte earned $333.00 at her job when she worked for 18 hours.

We need to find how many hours would she have to work the next week to earn $425.50.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now, money earned in one hour = 333/18 =$18.5

If she is paid the same hourly wage, to earn $425.50, she has worked for 425.50/18.5 hours

=23 hours

Therefore, the number of hours Charlotte has to work the next week to earn $425.50 is 23 hours.

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help fast!!!!!!!!!!!!!

Answers

Answer:

Refer the photos above and have a good day

Do you think it would be better to purchase whole onions at $1.99 per pound, and cut them yourself, or purchase pre-sliced onions at $2.99 per pound? Explain your rationale using a cost and portion argument

Answers

The best option is to purchase the onion at $1.99.

What is the cost?

The cost of any item is defined as the amount paid by the consumer to the seller in the replacement of the item.

Here, the cost of whole onions at $1.99 per pound, cut them yourself, and purchase pre-sliced onions at $2.99 per pound.

The loss = $2.99 - $1.99 = $1

You are giving more amount by $1 for the same onion cutting the onion is not a big task you can cut whole onions with a knife in no time.

Hence, purchase onions at $1.99 to save $1.

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