PLEASE HELP- John and Ariana bought school supplies. John spent $10.60 on 5 notebooks and 5 pens. Ariana spent $7.30 on 3 notebooks and 4 pens. What is the cost of 1 notebook & what is the cost of one pen? PLEASE HELP

Answers

Answer 1

Answer:

Cost of one notebook is 1.40 and one pen is1.40andonepenis0.90

Step-by-step explanation:

Let,

Notebook = x

Pen = y

According to given statements;

\begin{gathered}Multiplying\ Eqn\ 1\ by\ 4\ and Eqn\ 2\ by\ 5\\4(5x+4y=10.60)\\20x+16y=42.40 \ \ \ Eqn\ 3\\ 5(4x+3y=8.30)\\20x+15y=41.50 \ \ \ Eqn\ 4\\Subtracting\ Eqn\ 4\ from\ Eqn\ 3\\(20x+16y)-(20x+15y)=42.40-41.50\\20x+16y-20x-15y=0.90\\y=0.90\\Putting\ value\ of\ y\ in\ Eqn\ 1\\5x+4(0.90)=10.60\\5x+3.60=10.60\\5x=10.60-3.60\\5x=7\\Dividing\ both\ sides\ by\ 5\\\frac{5x}{5}=\frac{7}{5}\\x=1.40\end{gathered}Multiplying Eqn 1 by 4 andEqn 2 by 54(5x+4y=10.60)20x+16y=42.40   Eqn 35(4x+3y=8.30)20x+15y=41.50   Eqn 4Subtracting Eqn 4 from Eqn 3(20x+16y)−(20x+15y)=42.40−41.5020x+16y−20x−15y=0.90y=0.90Putting value of y in Eqn 15x+4(0.90)=10.605x+3.60=10.605x=10.60−3.605x=7Dividing both sides by 555x=57x=1.40

Cost of one notebook is 1.40 and one pen is1.40andonepenis0.90


Related Questions

Translate the shape A four squares left and three squares up.

Answers

la forma A cuatro cuadrados a la izquierda y tres cuadrados hacia arriba.

Answer:

A house but with a triangle on top

Step-by-step explanation:


A gardener makes a new circular flower bed. The bed is teen feet in diameter. Calculate the circumference and the area of the circular flower bed.

Answers

Answer:

I. Circumference of circular flower bed = 31.42 ft.

II. Area of circular flower bed = 78.55 ft²

Step-by-step explanation:

Given the following data;

Diameter = 10 ft

Radius = diameter/2

Radius = 10/2

Radius, r = 5 ft

I. To find the circumference of the circular flower bed;

Circumference of circle = 2πr

Substituting into the formula, we have

Circumference of circular flower bed = 2*3.142*5

Circumference of circular flower bed = 31.42 ft

II. To find the area;

Area of circle = πr²

Substituting into the formula, we have;

Area of circular flower bed = 3.142*5²

Area of circular flower bed = 3.142*25

Area of circular flower bed = 78.55 ft²

Which equation could represent the following:
5 less than a number is 8.
On - 5 = 8
0 5 - n = 8
On + 5 = 8
0 5 + n = 3

Answers

Answer:

n - 5  = 8

Step-by-step explanation:

5 less than a number = a number subtracted by 5

Please help!! I’ll give branliest!!!

Answers

Answer:

4.88

Step-by-step explanation:

sinA=opposite/adjacent

sin24=x/12

12(0.40673664307)=x

x=4.88083971691

The height of a rectangular prism is half its width. The width of the prism is 1··3o f its length. If the width of the prism is 3 centimeters, what is the volume?

Answers

Answer:

just have fun

Step-by-step explanation:

Find the area of the circle. Leave your answer in terms of
4.1.
A) 4.2025
B) 8.405
C) 16.81
D) 11.2​

Answers

A) 4.2025

Area= pir^2 r=d/2 4.1/2=2.05 pi(2.05)^2 final answer: 4.2pi

It’s a hope this helps

there are 47 numbers Find the probability that i will pick the 6 winning numbers in a draw​

Answers

Answer: You have six numbers on your ticket. In drawing the first number from the collection of 45, one of those six numbers must be drawn in order for you to still have a chance of winning the big prize. So following the draw, the probability is only 6/45 (or 1/9) that you’re still in the game.

You can now see that on each successive draw the probability steadily drops- to 5/44, 4/43, 3/42, 2/41, and for the last number 1/40. As other answers have stated, there are 8,145,060 possible draws of six numbers and only one makes you a winner.

If you bought ten tickets for every drawing, the odds reach a 50% chance of having won at about 520,550 drawings. Assuming two drawings per week, the chance of winning reaches 50% in about 5,200 years.

Of course, SOMEONE will win and if you don’t play, your chance of winning is zero. It’s kind of fun to occasionally buy lottery tickets just for the dream of winning but don’t spend a lot of money on them.

5.9K viewsView upvotes · Answer requested by Arthur C. Thorpe

7

Related Questions (More Answers Below)

Step-by-step explanation:

Help me plssss NO LINKS PLSSSSSSS

Answers

Answer:

perimeter- 36 in.

area- 77 [tex]in^2[/tex]

Step-by-step explanation:

to find the perimeter you add all of the sides, so

7 + 7 + 11 + 11 = 36

*** the opposite side of the 7 is also 7, same with the 11 :)

to find the area for a rectangle, you use the formula A=b*h

so, the base(b)=7 and the height(h)= 11

therefore, 7 * 11 = 77

I hope this helps!! :) if it does, brainliest?? :)

The parent function f(x) = log3x has been transformed by reflecting it over the x-axis, stretching it vertically by a factor of two and shifting it down three units. which function is representative of this transformation?

g(x) = log3(-2x) - 3
g(x) = -2log3(x) - 3
g(x) = 2log3(x) + 3
g(x) = log3(2x) + 3

Answers

Answer:

f(x) =  -2 log3x - 3.

Step-by-step explanation:

f(x) = log3x

Reflecting over x axis makes it  f(x) = f(x) = -log3x

Vertical stretch gives -2 log3x

Finally moving the graph down 3 units gives  -2 log3x - 3.

A university researcher wants to estimate the mean number of novels that seniors read during their time in college. An exit survey was conducted with a random sample of 9 seniors. The sample mean was 7 novels with standard deviation 2.29 novels. Assuming that all conditions for conducting inference have been met, what is a 95 percent confidence interval for the population mean number of novels read by all seniors?

Answers

Answer:

(5.240 ; 8.760)

Step-by-step explanation:

Given :

Sample mean, xbar = 7

Standard deviation, s = 2.29

Sample size, n = 9

95% confidence interval for the population mean :

Confidence interval :

Xbar ± Margin of error

Margin of Error = Tcritical * s/sqrt(n)

Tcritical at 0.05 ; df = 8 = 2.306

Margin of Error = 2.306 * 2.29/sqrt(9)

Margin of Error = 1.760

Lower boundary = (7 - 1.760) = 5.240

Upper boundary = (7 + 1.760) = 8.760

(5.240 ; 8.760)

Hope has 3 pencils, 5 pens, and 7 erasers. Which fraction represents the
number of pens she has to the total number of school supplies?

Answers

Answer:

1/3

Step-by-step explanation:

Answer:

Hence, your answer is 1/3.

Brainliest would be appreciated!!!!

Figure ABC is similar to figure XYZ.

What is the value of x in meters?
FOR BRAINLIST!!!

Answers

Answer:

D. 10m

Step-by-step explanation:

I hope you trust me

What is the measure of Arc BA? An explanation would be much appreciated.

Answers

Answer:

m<BA = 180degrees

Step-by-step explanation:

First you must know that measure of <BA is 180 degrees and m<CD = m<BA

Since <CD = 16z - 12, hence;

180 = 16z - 12

16z = 180++12

16z = 192

z = 192/16

z = 12

Get <BA

m<BA = 16z - 12

m<BA = 16(12) - 12

m<BA = 192 - 12

m<BA = 180degrees

Two hundred and fifty-four people were surveyed regarding their favorite type of gemstone: 54% chose diamonds 6% chose sapphires 30% chose emeralds .. 10% rubies.Approximately, how many people did not choose emeralds or rubies?​

Answers

Step-by-step explanation:

anyone GIRLS interested in talk...cuz I m getting bored

There were twelve times more children than adults at the matinee performance of the school play. There were 455 people at the play. How many adults and children were there?

Answers

Answer:

35 adults, 420 children

Step-by-step explanation:

1. Set up variables

Let's say children is c and adults is a.

2. Create the equations

c = 12a AND c + a = 455

3. Plug in the variables

Let's take c = 12a and substitute it in for c in the equation "c + a = 455." That would be...

12a + a = 455

13a = 455

a = 35

3. Plug in more variables

Now we have our answer for a, so let's plug it into the other equation. That would be...

c + a = 455

c + 35 = 455

c = 420


2x^2 + 16x + 28 = 0?

Answers

Answer:

[tex]x=-4+\sqrt{2}[/tex]

[tex]x=-4-\sqrt{2}[/tex]

Step-by-step explanation:

The quadratic formula is an equation that can be used to find the roots of a quadratic equation when one is given the equation in standard form. A quadratic equation in standard form is the following,

[tex]ax^2 +bx + c=0[/tex]

The quadratic formula is the following,

[tex]\frac{(-a)(+-)\sqrt{(x)^2-4(b)(c)}}{2(a)}[/tex]

Substitute in the given coefficients for the following equation,

[tex]2x^2 + 16x + 28 = 0[/tex]

Substitute,

[tex]\frac{-16(+-)\sqrt{(16)^2-4(2)(8)}}{2(2)}[/tex]

Simplify,

[tex]\frac{-16(+-)\sqrt{256-224}}{4}\\\\=\frac{-16(+-)\sqrt{32}}{4}\\\\=\frac{-16(+-)4\sqrt{2}}{4}\\\\=-4(+-)\sqrt{2}[/tex]

The roots of the quadratic equation ([tex]2x^2+16x+28=0[/tex]) are  ([tex]x=-4+\sqrt2[/tex]) and ([tex]x=-4-\sqrt{2}[/tex])

A study finds that the number of gallons of water used each month per household in a
residential neighborhood are normally distributed with a mean of 470 gallons and a
standard deviation of 50 gallons. A household is randomly selected. What is the
probability that the household uses 480 gallons of water or less per month?

Answers

Answer:

0.5793 = 57.93% probability that the household uses 480 gallons of water or less per month

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 of 470 gallons and standard deviation of 50 gallons.

This means that [tex]\mu = 470, \sigma = 50[/tex]

What is the probability that the household uses 480 gallons of water or less per month?

This is the pvalue of Z when X = 480. So

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

[tex]Z = \frac{480 - 470}{50}[/tex]

[tex]Z = 0.2[/tex]

[tex]Z = 0.2[/tex] has a pvalue of 0.5793

0.5793 = 57.93% probability that the household uses 480 gallons of water or less per month

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the remainder of (x^4 - 2) divided by (x + 1).

Answers

Answer:

-1 is the remainder

hope it helps

Answer:

-1 is the remainder for this problem.

Step-by-step explanation:

Plato.

Write "yes" or "no" to state whether or not the given side lengths would form a right triangle.
NO LINKS PLSSS
-will mark brainliest :)

Answers

Answer:

"yes" or "no"

Step-by-step explanation:

A university is applying classification methods in order to identify alumni who may be interested in donating money. The university has a database of 58,205 alumni profiles containing numerous variables. Of these 58,205 alumni, only 576 have donated in the past. The university has oversampled the data and trained a random forest of 100 classification trees. For a cutoff value of 0.5, the following confusion matrix summarizes the performance of the random forest on a validation set:
Predicted
Actual No Donation Donation
Donation 268 20
No Donation 5375 23439
The following table lists some information on individual observations from the validation set:
0.8
Observation ID Actual Class Probability of Donation Predicted Class
A Donation 0.8 No Donation
B No Donation 0.1 Donation
C No Donation 0.6 Donation
Compute the values of accuracy, sensitivity, specificity, and precision.

Answers

Answer:

Accuracy = 0.81

Sensitivity = 0.93

Specificity = 0.81

Precision = 0.047

Step-by-step explanation:

Given the confusion matrix :

Actual_______ Donation___ No Donation

Donation______ 268 (TP) _______ 20 (FN)

No Donation ___5375 (FP) _____23439 (TN)

Accuracy is calculated as :

(TP + TN) / (TP+TN+FP+FN)

(268 + 23439) / (268 + 23439 + 5375 + 20)

ACCURACY = (23707 / 29102) = 0.81

Sensitivity (True positive rate) :

TP ÷ (TP + FN)

268 ÷ (268 + 20)

268 ÷ 288 = 0.93

Specificity (True Negative rate) :

TN ÷ (TN + FP)

23439 ÷ (23439 + 5375)

23439 ÷ 28814

= 0.81

Precision :

TP ÷ (TP + FP)

268 ÷ (268 + 5375)

268 ÷ 5643

= 0.047

Joe ran 12 laps around the field to run a total of 1 km on Sunday. How many laps will he need to run on Monday to run 4/6 of a km?

Answers

Answer:

[tex]4 \div 6 \times 12 = 4 \times 2 \\ \\ 4 \times 2 = 8[/tex]

so, 8 laps

please mark it brainliest

Can somebody please help me?
2+2

Answers

Answer:

4 is the answer =)

3. Find the slope of the line through the pair of points.
(12, 2), (-7,5)

Answers

Answer:

-3/19

Step-by-step explanation:

Given data

We have the coordinates

(12, 2), (-7,5)

x1=12

y1=2

x2=-7

y2=5

The expression for the slope is given as

Slope= y2-y1/x2-x1

Substiute

Slope=  5-2/-7-12

Slope= 3/-19

Hence the slope is -3/19

Write the five-number summary of the following set of data: 5, 7, 8, 10, 10, 11, 13, 15, 16, 20?

Maximum
________________
Q1 (1st Quartile):???

Q2 (Median): ????

Q3 (3rd Quartile):????

What is the Maximum:???

Answers

Answer: Q1 10 Q216 Q3 8

Step-by-step explanation:

BECAUSE I THIK THAT IS THE ANSWER

An orange traffic cone has a diameter of 14 inches and a height of 28 inches. What is the volume of the traffic cone? Round to the nearest tenth.

Answers

Answer:

14367 inch^3

Step-by-step explanation:

Diameter of the cone= 14 inches

Radius of the cone= Diameter/2= 14/2= 7 inches

Height= 28 inches.

Volume of the cone = 1/3 π r^2 .h

Then substitute for the values, we have

Volume= 1/3 × π × 7^2 × 28

Volume= 1436.9 inch^3

Volume in nearest tenth= 14367 inch^3

Please fill in this for 20 points and brainlist <3333

Answers

Answer:

1. [tex]750(0.041) = $30.75[/tex]

2. [tex]90.75 - 55 = 35.75\\\frac{35.75}{55} = 0.65\\[/tex]   65%

3. [tex]13(1.06) = 13.78[/tex]

Please remember to brainlist this answer

Answer:

give them brainliest

Step-by-step explanation:

I need help on this question please and thanks :)

Answers

Answer: a and b

Step-by-step explanation:

Answer:

a, b

Step-by-step explanation:

input, output = ordered pair

m = 3, y-int = 2

Please help me Asap i really need this

Answers

Answer:

B

Step-by-step explanation:

Answer:

B brainlist

Step-by-step explanation:

consists of a formula a^2+b^2=c^2 which is used to figure out the value of (mostly) the hypotenuse in a right triangle. The a and b are the 2 "non-hypotenuse" sides of the triangle (Opposite and Adjacent).

Answers

Answer:

That is the pythagorean theorem.

A police officer estimated the distance from one side of a street to the other to be 14m . The actual distance was 13.4.
Find the absolute error and the percent error of the police officer's estimate. If necessary, round your answers to the nearest tenth.
NO LINKS

Answers

Answer:

Part A. The absolute error is 0.2

Part B. The percent error is 1.45

Step-by-step explanation:

Hope this helps! :)

P.S I can tell that you have experience with the bots who ask you to go press a link. :)

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