Castel bought 5 writing utensils for a total of $8. Pens cost $1 and pencils cost $2. How many of each writing utensil did he buy?

Answers

Answer 1

Answer: 8 = 1x + 2y

Step-by-step explanation:

this could be multiple answers, is this a multiple-choice question? follow that equation to find the answer that fits.

I got the equation by these steps:

total money spent is $8, so you start with 8 =

you don't know the specific number of pens so make that x. the cost of pens is $1, so the total cost will be $1 times however many pencils are bought, ie 1x.

repeat that for pencils, replacing $1 with $2, and making pencils mean y. you get 2y.

now to find your answer, insert numbers into x and y until they equal 8.

possible answers:

x=4, y=1

x=2, y=2

x=0, y=4


Related Questions

Find the exact value of cos ( 285 ∘ ) .

Answers

Answer:

[tex]\frac{\sqrt{6}-\sqrt{2} }{4}[/tex]

Step-by-step explanation:

You have to use your calculator if you have one.

1.
Which inequality represents the expression 9 is less than or equal
to b?

Answers

Answer:

Step-by-step explanation:

9 ≤ b

( I think unless it faces the other side...if wrong then I'm sorry)

Is 2x^x a power function? Explain why or why not.

Answers

[tex]2x^{x}[/tex] is not a power function because variable exponent should be constant.

What is Power function?

A power function is a function with a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number.

The function is [tex]2x^{x}[/tex] is not a power function because a power function requires the exponent to be a constant value.

In the given function the variable x as power x which is variable.

The variable exponent should be constant.

When x is zero it is undefined. Another issue is the table indicates for negative values the output alternates between being positive and negative. So it is also not an exponential function either.

Hence,  [tex]2x^{x}[/tex] is not a power function because variable exponent should be constant.

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Paul and Chris work at a car shop. It takes Paul 30 minutes to change the tire, and
it takes Chris 30 minutes to change the tires. If they work at their own rates,
approximately how long would it take them to change the tires of one car.
a. 35 min
b. 10 min
c. 20 min
d. 15 min.

Answers

It will them 15 minutes to change the tire of one car which is option d.

What is inverse proportion?

Two quantities are said to be in inverse proportion if an increase in one leads to a decrease in the other quantity and a decrease in one leads to an increase in the other quantity". In other words, if the product of both the quantities, irrespective of a change in their values, is equal to a constant value, then they are said to be in inverse proportion.

It takes 30 minutes either Paul or Chris to change the tire if both of them should work at the same rate, then the time of changing a tire would reduce.

so the time taken one tire by the two men 30/2 = 15 minutes.

In conclusion it took the 2 men 15 minutes to change one tire

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Graph the function. Identify whether or not the graph is a function

Answers

Answer:

No

Step-by-step explanation:

Because a vertical line can intersect the curve more than once, the graph does not represent a function.

Four distributions, labeled (a), (b), (c), and (d) are represented below by their histograms. Each distribution is made of measurements. Without performing any calculations, order their respective means , , , and .

Answers

The ranking of the data-sets according to their respective means is given as follows:

[tex]\mu_C < \mu_D < \mu_B < \mu_A[/tex]

How to calculate the mean of a data-set?

The mean of a data-set is calculated as the sum of the values of all the observations divided by the number of observations.

In this problem, all the distributions have the same number of observations, hence the means are ranked from the highest sum.

The squares give the number of times that each observation appears in the data-sets.

The smallest mean is the mean of data-set C, as it is the only one with three measures of eight, while the other data-sets have four measures of eight.

Then the greatest mean is of data-set A, as it is the only with an observation of 6, and then data-set B has a greater mean than data-set D, as it has an observation of five while data-set D has an observation of three.

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What is the slope of the line that passes through the points (8, -6) and (5, -1)

Answers

Answer:

-5/3

Step-by-step explanation:

trust me bro

Answer:

Use desmos

Step-by-step explanation:

Basically it is a graphing calculator put your points

Claire said 4/3 /5/2 is 10/3. She reasoned 4/3 *5 = 20/3 and 20/3 / 2= 10/3

Answers

Clare's answer and reasoning are incorrect because she performed the multiplication operation (4/3) × 5 = 20/3 before the division operation and the correct quotient is 8/15, not 10/3.

To perform the division operation (4/3) ÷ (5/2), we need to first divide the numerator by the denominator.

This gives us (4/3) ÷ (5/2) = 8/15.

Thus, Clare's reasoning is incorrect because she did not apply the order of operations when simplifying the expression.

Instead, she performed the multiplication operation (4/3) × 5 = 20/3 before the division operation (20/3) ÷ 2 = 10/3.

Therefore, the correct quotient is 8/15, not 10/3.

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The height of the cylinder is 25 inches and the radius of its base is 5 inches. What is the surface area of this cylinder, in terms of n (pie) PLS LOOK AT THE PHOTO AND HELP ME OUR, I’M GETTING TIMED

Answers

ok you need formula for surface area.

SA = πrh+2πr^2

Plug in 25 and 5

SA = 2π(5)(25)+2π(5)^2

SA = 10pi*25 + 2pi(25)

SA = 250pi + 50pi

SA = 300pi

Hope this helps :)

Jeron

Two basketball players are trying to have the most
points per game for the season. The current leader has
2112 points in 77 games and the second place player
has 2020 in 74 games. How many points per game did
the leading team score?
Round to the nearest tenth

Answers

The leading team scored 27.43 points  per game in basket ball game.

What is ratio?

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

The points scored by current leader in 77 basket ball game = 2112,

And the points scored by second place player in 74 game = 2020.

The point scored by players in one match, use ratio property,

By current leader,

Points scored in 77 games = 2112

points scored in 1 game = 2112/77 = 27.43

By second place leader,

Points scored in 74 games = 2020,

Points scored in 1 game = 27.3

The leading team scored 27.43 points per game.

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Determinați cel mai mare divizor comun al următoarele numere : 24,60,72,84

Answers

Answer:

12

Step-by-step explanation:

24 = 2³ × 3

60 = 2² × 3 × 5

72 = 2³ × 3²

84 = 2² × 3 × 7

cel mai mare divizor comun = 2² × 3 = 12

select all the expressions that are equal to the product of 14 and 9

Answers

Answer:

Step-by-step explanation:

126

Which formula describes acceleration?



m/s²

m/s

s/m​

Answers

Answer:

M/s^2

Step-by-step explanation:

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 4 . If there were 6597 total votes, how many yes votes were there?

Answers

The required number of people who voted for yes is 3665.

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

here,

As mentioned in the question,
The people residing in the city voted on whether to raise property taxes. The ratio of yes to no is 5 to 4.


The multiplication of the proportion of yes to the total proportion of total votes gives the number of people who voted for yes.


The ratio of people yes to no = 5:4
Proportion of yes voted people = 5 / 9
The number of people who voted for yes = 5 / 9 × 6597 = 3665.

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7+2x/3=5 need help aspa

Answers

Answer:

x = –3

Step-by-step explanation:

7 + 2x/3 = 5

2x/3 = 5 – 7

2x/3 = –2

multiply both sides by 3

2x = –6

divide both sides by 2

x = –6/2

x = –3

please rate as brainliest i need to move to the next rank

Triangle A and Triangle B are right triangles.

Triangle A has a height of 8 meters and a base of 6 meters.

Triangle B has a height that is one unit greater than triangle A and a base that is one unit less.

Part A
What is the measure of the hypotenuse of triangle A? Show your work.


Part B
Determine if the hypotenuse of triangle B has the same hypotenuse as triangle A. Justify your solution.

Answers

Answer: Triangle A- 24 8x6=48/2=24
Triangle B- 9x5=45/2=22.5

Many members of a certain workforce died from cancer supposedly resulting from exposure to radioactive
fallout Suppose that among the 215 members of the workforce, 91 developed cancer. For that time period
and for the age of the cohort, the incidence of cancer was about 40%. Use the randomization procedure
and a 0.05 significance level to test the claim that the sample of this workforce is from a population in which
the rate of cancer is greater than 40%. The accompanying set of 500 sample proportions (rounded to four
decimal places) was obtained by resampling using technology as part of the randomization procedure; use
P-value=
(Round to three decimal places as needed.)
ample Get more help -
Clear all
Check answer

Answers

The p-value of the test hypothesis is given as follows:

0.2420.

What are the hypothesis tested?

At the null hypothesis, it is tested if the proportion is not greater than 40%, that is:

[tex]H_0: p \leq 0.4[/tex]

At the alternative hypothesis, it is tested if the proportion is greater than 40%, that is:

[tex]H_1: p > 0.4[/tex]

What are the test statistic and the p-value?

The test statistic is given by the equation presented as follows:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which the parameters are defined as follows:

[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.

The values of these parameters for this problem are given as follows:

[tex]p = 0.4, n = 215, \overline{p} = \frac{91}{215} = 0.4233[/tex]

Hence the test statistic is given as follows:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.4233 - 0.4}{\sqrt{\frac{0.4(0.6)}{215}}}[/tex]

z = 0.7.

Using a z-distribution calculator, with a right-tailed test, as we are testing if the proportion is greater than a value, the p-value is of:

0.2420.

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Annie bought 149 5-oz bags of peanuts.
What's the total weight of the peanuts in pounds? Round answer to the hundredths place.

PLEASE HELP!

Answers

Answer:

46.5625 lbs

Step-by-step explanation:

First of all, WHO IN THEIR RIGHT MIND NEEDS THAT MANY PEANUTS

Second:

1lb=16oz

5oz≈1/3lb

149×5=745 ((I have no idea where this is going))

745oz=46.5625 ((You can do the rounding my head hurts.))

what the dog doing ?

Answers

The dog is playing with his chew toy!

Answer:

Explanation

Step-by-step explanation:

In general, dogs can run 15-20 mph

humans can run 6-8 mph

You are significantly slower than the dog,

the fastest human is around 27 miles per hour, unfortunately, even if you were this fast

the fastest dog can run 40 miles per hour as an estimate

even house cats can run at 30 mph maximum if they really wanted,

You have no chance of outrunning this dog, and barely a chance of outsmarting it if that option was available, in conclusion, the dog is chasing you at a speed of around 30 mph about 6-7x more than your own speed with no chance of outrunning it(the dog).

A pizza with 3 toppings costs $12.45. A pizza with 7
toppings costs $17.05. What is the equation that
determines the cost of a pizza (c) based on the number
of toppings (t)?

Answers

Answer: it costs $4.15 for a pizza with 1 topping. Is that what you meant?

Step-by-step explanation:

For each binomial probability statement below determine the corresponding normal distribution probability statement after a continuity correction. P(x> 118); P(x<118); P(x > 118)?

Answers

The probability statements after continuity correction are given as follows:

P(x > 118) = P(x > 117.5).P(X < 118) = P(X < 118.5).P(X = 118) = P(117.5 < x < 118.5).

What is continuity correction?

Continuity correction is used as a "correction" when a continuous distribution is used to approximate a discrete distribution. One example of this is the approximation of the binomial distribution to the normal distribution.

Hence, using continuity correction, the range of values that corresponds to a number of exactly x is given as follows:

x - 0.5 < x < x + 0.5.

Thus the range of values of 118 is given as follows:

117.5 < x < 118.5.

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(1,6) and (3,8) find the slope

Answers

Answer

1

Step-by-step explanation:

1

(y2-y1) / (x2-x1)

(rise over run)

(8-6) / (3-1)

2/2

1

Find the value of x in the equation

Answers

Answer:

Step-by-step explanation:

AV is an angle bisector. Lets name the intersection between AV and OU Y. Hence, OY=UY. We substitute and get :

7x+2=3x+10  |-3x

4x+2=10   |-2

4x=8  | /4

x=2

The graph shows the relationship between time and the number of soda bottles a machine can make. Use the points ​(​,​) and ​(​,​) to find the number of soda bottles the machine can make each minute.

Answers

The number of b the machine can make each minute are 40.

What is machine?

A physical system known as a machine uses power to apply forces, regulate movement, and carry out an action. In addition to naturally occurring biological macromolecules like molecular machines, the term is frequently used to describe artificial devices that use engines or motors.

Given:

The graph shows the relationship between time and the number of soda bottles a machine can make.

We have to find the number of soda bottles the machine can make each minute by using the points (3, 120) and (7, 280).

Let x is the time in minutes and y is the number of soda bottles.

From the given points in 3 minutes machine can make 120 soda bottles.

So, in each minute machine can make 120/3 = 40 soda bottles.

Hence, the number of b the machine can make each minute are 40.

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Complete question:

Complete question is attached below.

Mary has 26 coins. It equals $4.85 in dimes and quarters. How much of each kind of coin
does she have

Answers

Answer: 15 quarters, 10 dimes, and a penny

Step-by-step explanation: Hope it helps, please pick brainliest.

Answer:

15 quarters, 10 dimes, and a penny

Solve for x



4 - (2x + 4) =



Please explain step by step on how I could get this answer!

Answers

Answer:

4

Step-by-step explanation:

2x4=8   8-4=4

Please help me and with explanation too(English only)

Answers

Answer:

1

Step-by-step explanation:

The angles of a triangle must add up to 180 degrees, which gives the expression

180 = 111 + 34 = 35t

simplifying this expression gives

35 = 35t

Then solve for t to get

t = 1

What is the solution to the system of two equations shown?


{y=4x+16y=−2x−2

y=4x+16 y=-2x-2

Answers

The solution of the given system of equation is x = -3 and y = 4 respectively.      

What is a system of linear equations?

A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.

The given system of equations is as,

y = 4x + 16                   (1)

y = −2x − 2                  (2)

In order to solve them, substitute equation (2) into (1) as follows,

4x + 16 = −2x − 2

=> 4x + 2x = -2 - 16

=> 6x = -18

=> x  = -3

Then, y = -2 × -3 - 2 = 4

Hence, the solution of the given system of equation is x = -3 and y = 4.  

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What are all of the real solutions of f(x)=0

Answers

The real solutions when f(x)=0 are the y-intercepts, so they’re 5 and 7

The Royal Fruit Company produces two types of fruit drinks. The first type is 40% pure fruit juice, and the second type is 90%
pure fruit juice. The company is attempting to produce a fruit drink that contains 45% pure fruit juice. How many pints of each
of the two existing types of drink must be used to make 170 pints of a mixture that is 45% pure fruit juice?

Answers

Answer: 131.36363 pints of the first type of drink, and 38.63636 pints of the second type of drink.

Step-by-step explanation:

We can use the principle of linear equations. Let's say that the first type of drink is represented by x, and the second type is represented by y. We can then set up the following system of equations:

x + y = 170 (1)

0.4x + 0.9y = 0.45 * 170 (2)

We can solve for x and y using the methods of linear algebra. To do this, we can multiply equation (1) by 0.9, and equation (2) by 0.4, and then subtract the two equations to get the following equation:

0.9x - 0.4y = 0.45 * 170 - 0.4x - 0.9y

0.5x = 0.45 * 170 - 0.9y

x = (0.45 * 170 - 0.9y) / 0.5

We can substitute this expression for x into equation (1) and solve for y:

y = 170 - x

y = 170 - (0.45 * 170 - 0.9y) / 0.5

2.2y = 170 - 0.45 * 170

y = (170 - 0.45 * 170) / 2.2

y = 85 / 2.2

We can then substitute this value for y back into equation (1) to solve for x:

x = 170 - y

x = 170 - (85 / 2.2)

x = 170 - 38.63636

x = 131.36363

Therefore, the Royal Fruit Company needs to use 131.36363 pints of the first type of drink, and 38.63636 pints of the second type of drink, in order to produce 170 pints of a mixture that is 45% pure fruit juice.

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