Please help me with this math word problem

Please Help Me With This Math Word Problem

Answers

Answer 1
Answer: The cost of 16 pencils and 10 notebooks is $5.84.


Explanation: You can solve this using linear systems:

Let X be the cost per pencil, and let Y be the cost per notebook.

(1) 7x+8y=4.15
(2) 5x+3y=1.77

Choose a variable to eliminate. I’ll eliminate X first as an example. To eliminate a variable, you must have the same coefficient beside the variable for both equations.

Equation 1 now becomes:

(3) 35x+40y=20.75

Equation 2 now becomes:

(4) 35x+21y=12.39

Now that you have 35 as a coefficient for X in both equations, you can subtract the two equations to officially eliminate it!

(3)-(4)

19y=8.36
y=0.44

Now that you have the value of Y, substitute that value into either one of the equations to get X.

Substitute y=0.44 in (1)

7x+8(0.44)=4.15
7x+3.52=4.15
7x=0.63
x=0.09

Therefore, the cost per pencil is $0.09/pencil and the cost per notebook is $0.44/notebook.

Almost done lol...

To find the cost of 16 pencils, multiply 0.09*16. That gives you $1.44, which will be the cost of 16 pencils.
The cost of 10 notebooks is 0.44*10, which gives you $4.40. That’s the cost of 10 notebooks.

To find the total price, add these values together!

1.44+4.40=5.84

Therefore, the cost of 16 pencils and 10 notebooks is $5.84.

Hope that helps シ

Related Questions

Melinda is selling her paintings. The graph depicits the profit she makes given the selling price of the paintings. What is the approximate average rate of change in profit per dollar selling price, when the selling price yields $0 profit to a selling price that yield the maximum profit

Answers

Answer:

The average rate of change is 28.57

Step-by-step explanation:

Given

See attachment for graph

Required

The average rate of change from 0 to maximum profit

At 0, we have:

[tex](x_1,y_1) = (32,0)[/tex]

At maximum, we have:

[tex](x_2,y_2) = (60,800)\\\\[/tex]

The average rate of change (m) is calculatd as:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m = \frac{800 - 0}{60 - 32}[/tex]

[tex]m = \frac{800}{28}[/tex]

[tex]m = 28.57[/tex] --- approximated

HALP!!! FIND ALL THREE ANGLES WILL MARK BRAINLIEST FOR LEGITIMATE ANGLES

Answers

Answer:

Step-by-step explanation:

2x+3+2x-12+4x-11=180 degree (sum of interior angles of a triangle)

8x-20=180

8x=180+20

x=200/8

x=25

Now , substitute the value of x.

Chicago=2x+3

=2*25+3

=50+3

=53 degree

Austin=2x-12

=2*25-12

=50-12

=38 degree

Atlanta=4x-11

=4*25-11

=100-11

=89 degree

In circle S, angle QTR is an inscribed angle.


What is the measure of angle QRS?

Answers

Answer:

angle QRS = 51°

Step-by-step explanation:

The diagram for the question has been attached to this response.

From the diagram, some circle theorems can be applied.

Circle theorem:

The angle subtended by an arc of a circle at the centre is twice the angle subtended by it at any other point on the remaining part of the circle.

From the diagram, QR is the arc and therefore:

∠QSR = 2 x ∠ QTR

Since ∠QTR = 39°

=> ∠QSR = 2 x 39°

=> ∠QSR = 78°

Other theorem:

(i)The base angles of an isosceles triangle are equal.

Triangle QSR is an isosceles triangle, therefore, angles SQR and QRS are equal. i.e

∠SQR = ∠QRS

(ii) The sum of angles of a triangle is 180°. i.e

∠SQR + ∠QRS + ∠QSR = 180°

Since ∠SQR = ∠QRS and ∠QSR = 78°

=> ∠QRS + ∠QRS + 78° = 180°

=> 2(∠QRS) = 180° - 78°

=> 2(∠QRS) = 102°

Divide both sides by 2

=> ∠QRS = 51°

Therefore, angle QRS = 51°

carlos and his crew build small wooden packing crates at a rate of 52 cates per hour how many crates can they build in 6 1/2 hours​

Answers

Answer:

338 crates

Step-by-step explanation:

Find how many crates they can make by multiplying 52 by 6.5:

52(6.5)

= 338

So, in 6.5 hours, they can make 338 crates

Given that ſ-, f(x) dx = 4, S f(x) dx = -3, and $129(x) dx = 8, find the following.
S; f(x) dx
b. (f(x) dx
c. Lt, [F(x) +2g(x)] dx
| 0111869 +296) de

Answers

Lt,[F(x)+2g(x)] x that’s the answer

When 10 gallons of gasoline are put into a car's tank, the indicator goes from 1/8 of a tank to 3/4. What is the total capacity of the gasoline tank?

Answers

Answer: 16 gallons

Step-by-step explanation:

Since the the indicator goes from 1/8 of a tank to 3/4, we need to know the difference and this will be:

= 3/4 - 1/8

= 6/8 - 1/8

= 5/8

Therefore, 10 gallons represents 5/8 of the total capacity. Therefore, the total capacity will then be:

5/8 of x = 10

5x/8 = 10

5x = 10 × 8

5x = 80

x = 80/5

x = 16

Therefore, the total capacity is 16 gallons

Add and subtract the values. Express your answer in scientific notation. (5.4 times 10 Superscript 5 Baseline) + (2.9 times 10 Superscript 5 Baseline) minus (1.1 times 10 Superscript 4) 7.2 times 10 Superscript 5 8.19 times 10 Superscript 5 8.41 times 10 Superscript 5 9.4 times 10 Superscript 5

Answers

The correct answer is option B which is 8.19 x 10⁵.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division

The given expression will be written as :-

E = ( 5.4 x 10⁵ ) +( 2.9 x 10⁵ ) - ( 1.1 x 10⁴ )

E =  ( 5.4 x 10⁵ ) +( 2.9 x 10⁵ ) - ( 0.11 x 10⁵ )

E = ( 5.4 + 2. 89 -0.11 ) x 10⁵

E = 8.19 x 10⁵

Therefore the correct answer is option B which is 8.19 x 10⁵.

To know more about Expression follow

https://brainly.com/question/723406

#SPJ1

Pls help I’ll brainlest ASAP

Answers

Answer:

D

Step-by-step explanation:

because in standard form the first number is only up to 10 and above 10 it is decimal places e.g.6.12×10^5

hope this helps u understand :)

Which values for A and B will create many solutions for this system of equations? 4x-Ay=15 -4x+6y=B

Answers

Answer:

A = 6; B = -15

Step-by-step explanation:

To have an infinite number of solutions, both equations must be the same.

4x - Ay = 15

-4x + 6y = B

The only coefficient we see in both equations is the coefficient of the x term. We have -4x and 4x. Multiply both sides of the second equation by -1.

4x - Ay = 15

4x - 6y = -B

For the equation to be equal, we need each term of one equation to be equal to the corresponding term of the other equation.

4x and 4x are equal.

-Ay must equal -6y

-Ay = -6y

-A = -6

A = 6

15 must equal -B

-B = 15

B = -15

Answer: A = 6; B = -15

A random sample of vehicle mileage expectancies has a sample mean of x¯=169,200 miles and sample standard deviation of s=19,400 miles.  Use the Empirical Rule to estimate the percentage of vehicle mileage expectancies that are more than 188,600 miles.

____%​

Answers

Answer: 16%

Step-by-step explanation:

Using the predicate symbols shown and appropriate quantifiers, write eachEnglish language statement as a predicate wff. (The domain is the whole world).
S(x): x is aspy novel
L(x): x is long
M(x): x is a mystery
B(x, y): x is better than y
a. All spy novels are long
b. Not every mystery is a spy novel
c. Only mysteries are long.
d. Spy novels are better than mysteries.
e. Only spy novels are better than my

Answers

Answer:

a. All spy novels are long. S (L)

b. Not every mystery is a spy novel S (x,M)

c. Only mysteries are long M ( L)

d. Spy novels are better than mysteries S B(x, y)

e. Only spy novels are better than mystery S B(x)

Step-by-step explanation:

Spy novels and mystery novels both are long. There is a domain function representing mystery novels is better than spy novels. The spy novel can be long and and better than mystery novels. The symbol representation for spy novel and mystery novel is given in the domain function.

38% of students taking exam P will pass the exam. 5% of students are taking exam P having used ADAPT. 79% of the students using ADAPT pass the exam. What is the probability of passing the exam if a student does not use ADAPT

Answers

Answer:

the probability of passing the exam if a student does not use ADAPT is 0.3584

Step-by-step explanation:

Given the data in the question;

Probability a student will pass = 38% = 0.38

Probability a student have used ADAPT = 5% = 0.05

P(passed  | used ADAPT) = 79% = 0.79

Now lets use table

                          Used ADAPT                        Not use ADAPT                 Total

Passed            [0.05×0.79] = 0.0395           [0.38 - 0.0395] = 0.3405     0.38

Not Passed     [0.05-0.0395] = 0.0105        [0.62 - 0.0105] = 0.6095     0.62

Total                             0.05                                      0.95

Now, the probability of passing the exam if a student does not use ADAPT will be;

⇒ P(passed and Not used ADAPT) / P( did not use ADAPT)

⇒ 0.3405 / 0.95

0.3584

Therefore, the probability of passing the exam if a student does not use ADAPT is 0.3584

6.) Ms. Speer is scuba diving. She descends 5 feet below sea level. She descends the same distance 4 more times. What is Ms. Speer's final elevation? * ​

Answers

Answer:

-25 feet

Step-by-step explanation:

First she descends 5 feet below sea level

She then descends the SAME DISTANCE ( so 5 feet ) 4 MORE TIMES

So feet descended = 4 * 5 + 5

4 * 5 = 20

20 + 5 = 25

Her final elevation will be -25 feet

( it's important that we add a negative sign because she is descending meaning going down )

Need help with this Equation

Answers

Answer:

15/17

Step-by-step explanation:

sine is opposite/hypotenuse

Someone help me solve please

Answers

Answer:

48.37 degrees

Step-by-step explanation:

c = AB = sqrt((9-7)² + (2-7)²) = sqrt(4+25) = sqrt(29)

b = AC = sqrt((5-7)² + (3-7)²) = sqrt(4+16) = sqrt(20)

a = BC = sqrt((5-9)² + (3-2)²) = sqrt(16+1) = sqrt(17)

A = angle at A

B = angle at B

C = angle at C

cos(A) = (b²+c²-a²)/(2bc) = (20+29-17)/2sqrt(20)sqrt(29) =

= 32/48.16637832... = 0.664363839...

A = acos(0.664363839...) = 48.366461... degrees

Yo-yo yo answer for brainlest

Answers

Answer below (B) Hope it’s helpful
B yea what she/he said b

Hello. I need help with creating a normal distribution for a pre-made dataset in excel? I mainly confused with the steps to complete the process.

Answers

Let's say your data is all in column A. Furthermore, we'll say we have 21 items in this column. Make sure this data column is sorted from smallest to largest. If this isn't done, then weird things will happen when it comes to connecting the dots later on.

Column B will be used later, but for now, let's move to cell C1. In this cell, type =AVERAGE(A1:A21)

The equal sign is important to tell Excel that we have a function here, and not just plain text. As the function implies, we're finding the average (aka mean) of values A1,A2,...,A20,A21. This computes the arithmetic mean.

In cell D1, type in =STDEV(A1:A21) to compute the sample standard deviation

There's nothing special about C1 or D1. We just need something off to the side. Think of it like scratch work.

-------------------------

Now move back to column B. In cell B1, type =NORMDIST(A1,$C$1,$D$1,FALSE)

The $C$1 and $D$1 refer to cells C1 and D1 respectively. The dollar signs lock in those rows and columns so they don't change. We don't want the mean and standard deviation to alter. The "False" at the end tells Excel that we don't want a cumulative normal distribution.

The first parameter A1 is the x value. Much like the curve y = x^2, we plug in various x values to find corresponding y values. We'll plot various (x,y) points to connect them with a curve. The more points, the more accurate the curve. Instead of the x^2 function, we're using the NORMDIST function.

Once cell B1 is filled out, click on the bottom right corner of the cell. You should see a very small square at this corner. Dragging this square down until you reach cell B21 will fill in the remaining 20 cells with the formula mentioned in bold; however, the A1 will change depending on what row you're on. Everything else stays the same hence the use of the dollar signs.

-------------------------

In figure 1 below, I'm showing an example of what I've discussed so far. Figure 1 shows the formulas in each cell. This is before they are evaluated.

Figure 2 shows what the formulas evaluate to. The data in column A can be anything you want. I randomly generated the data values between 2 and 17.

Once column B is figured out, you would insert a chart of (x,y) scatter points. Make sure to connect the dots so that a curve forms. This will complete the normal distribution graph. Again, the data in column A must be sorted or else the dots won't be connected properly.

To be perfectly honest, Excel doesn't really do a good job at drawing curves like this. In my opinion, programs like GeoGebra are better suited for the task. Though spreadsheet programs like Excel are still used in a lot of settings, which is why this is good practice.

Multiple Choice: Choose the correct simplified expression for (3x - y) (W+p-3).

Answers

Answer:

answer this 5-y this the answer thanks for

Answer:

3xw+3xp+3y-9x-yw-yp

(I have no idea how it's ordered on your test)

Step-by-step explanation:

(3x-y)(w+p-3)

Multiply.

3xw+3xp-9x-yw-yp+3y

Reorder.

3xw+3xp+3y-9x-yw-yp

(me looking at this long a** expression like o.O)

---

hope it hope

is it possible to make a triangle with a measure of 1o m 6m and 7m​

Answers

Answer:

Step-by-step explanation:

So basically you

Then you have to

And finally the answer is

Find m < RMQ if mQR = 54

Answers

9514 1404 393

Answer:

  27°

Step-by-step explanation:

The inscribed angle is half the measure of the arc it intercepts.

  ∠M = 1/2 arc QR = 1/2(54°)

  ∠M = 27°

I have been stuck on this forever plz help
What is the surface area of this cylinder

Answers

Answer:

1865.16 m^2

Step-by-step explanation:

first let 's find radius of a circle

radius=diameter/2

=18/2

=9 m

area of a cylinder=2πrh+2πr2

=2*3.14*9*24 + 2*3.14*(9)^2

=1356.48 + 2*3.14*81

=1356.48 + 508.68

=1865.16 m^2

Answer:

1866.11 m²

Step-by-step explanation:

Formula = 2πrh + 2πr²

Surface area = 2 * 3.14 * 9 * 24 + 2*3.14* 81 ≈ 1866.11

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

What is the answer to this

Answers

Answer:

김수아 임니다 올드 그란 파

Step-by-step explanation:

미안하지 미안하지 미안하지 미안하지

what are point slope equations that pass through points (5,6) and (1,1)

Answers

I think it’s y-6=5/4(x-5)

Please find the general limit of the following function:

[tex]\lim_{x \to 9}(x^2 + 2^7 + (9.1 \times 10))[/tex]

Answers

Answer:

The general limit exists at x = 9 and is equal to 300.

Step-by-step explanation:

We want to find the general limit of the function:

[tex]\displaystyle \lim_{x \to 9}(x^2+2^7+(9.1\times 10))[/tex]

By definition, a general limit exists at a point if the two one-sided limits exist and are equivalent to each other.

So, let's find each one-sided limit: the left-hand side and the right-hand side.

The left-hand limit is given by:

[tex]\displaystyle \lim_{x \to 9^-}(x^2+2^7+(9.1 \times 10))[/tex]

Since the given function is a polynomial, we can use direct substitution. This yields:

[tex]=(9)^2+2^7+(9.1\times 10)[/tex]

Evaluate:

[tex]300[/tex]

Therefore:

[tex]\displaystyle \lim_{x \to 9^-}(x^2+2^7+(9.1 \times 10))=300[/tex]

The right-hand limit is given by:

[tex]\displaystyle \lim_{x \to 9^+}(x^2+2^7+(9.1\times 10))[/tex]

Again, since the function is a polynomial, we can use direct substitution. This yields:

[tex]=(9)^2+2^7+(9.1\times 10)[/tex]

Evaluate:

[tex]=300[/tex]

Therefore:

[tex]\displaystyle \lim_{x \to 9^+}(x^2+2^7+(9.1\times 10))=300[/tex]

Thus, we can see that:

[tex]\displaystyle \lim_{x \to 9^-}(x^2+2^7+(9.1\times 10))=\displaystyle \lim_{x \to 9^+}(x^2+2^7+(9.1\times 10))=300[/tex]

Since the two-sided limits exist and are equivalent, the general limit of the function does exist at x = 9 and is equal to 300.

Step-by-step explanation:

Hey there!

Please look your required answer in picture.

Note: In left hand limit always take a smaller near number of the approaching number. For example as in the solution I took the 8.99,8.999 as it is smaller than 9 but very near to it.

And in right hand limit always take a smaller and just greater near number than the approaching number. For example, I took 9.01,9.001 which a just greater but very near to 9.

Hope it helps!

Plz help i need a correct answer asap

Answers

The graph is linear and all we have to do is find the slope

The slope is the change in y over the change in x and since 1-0 is one and 2-0 is 2 it is 2/1 which can simplify to 2.

The equation would be y=2x

HELP HURRY PLS I really really need help

Answers

Answer:

a big number

Step-by-step explanation:

U.S. women aged 20 or over have a mean HDL cholesterol levels of 55mg/dl with a standard deviation of 15 mg/dl. Assume that the distribution is Normal. What proportion of women have HDL below 45 mg/dl or less?

Answers

Answer:

0.2514 = 25.14% of women have HDL below 45 mg/dl or less.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean HDL cholesterol levels of 55mg/dl with a standard deviation of 15 mg/dl.

This means that [tex]\mu = 55, \sigma = 15[/tex]

What proportion of women have HDL below 45 mg/dl or less?

This is the p-value of Z when X = 45. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{45 - 55}{15}[/tex]

[tex]Z = -0.67[/tex]

[tex]Z = -0.67[/tex] has a p-value of 0.2514

0.2514 = 25.14% of women have HDL below 45 mg/dl or less.

A flower store has an inventory of 25 roses, 15 lilies, 30 tulips, 20 gladiola, and 10 daisies. A customer picks one of the flowers at random.

What is the probability that the flower is not a rose?

Answers

Answer: 75/100

Step-by-step explanation:

the total number of flowers= 25+15+30+20+10

                                             = 100

so probability that the flower is not a rose is= 75/100

Note: i got 75 by subtracting 100 by 25                                          

       

6,12,24,48 Find the 11'th term

Answers

Answer:

614

Step-by-step explanation:

This pattern is being multiplied by 2

keep multiplying by two till you get to the 11th term

6, 12, 24, 48, 96, 192, 384, 768, 1536, 3072, 6144

6144 is the 11th term.

What is the slope of a line parallel to

a)-1/2
b)-2
c)1/2
d)2

Answers

Answer:

parallel lines has equal gradient

answer

c ,1/2

Answer : Would be C wich is one half
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