auggie bought 8 books. Some books cost $13 each and the rest of the books cost $24 each. They spent a total of $159. Write a system of linear equations that could represent the given situation

Answers

Answer 1

Answer: Let x be the number of $13 books that Auggie bought and y be the number of $24 books. Then we can represent the given information in the following system of linear equations:

x + y = 8 (the total number of books Auggie bought is 8)

13x + 24y = 159 (the total amount of money Auggie spent is $159)

This system of linear equations represents the given situation. We can use this system to find out how many books Auggie bought of each price by solving the system of equations.

The equation (1) represents the number of books that Auggie bought is 8, and equation (2) represents the amount of money he spent $159. This system of equations is a valid representation of the given situation because the values of x and y that satisfy the system of equations will be the number of $13 books and the number of $24 books that Auggie bought.

Step-by-step explanation:


Related Questions

pleaassee help me i'll mark u if u give me the right answersss

Answers

Step-by-step explanation:

1.

A.Company T

B.Company A

C.At 20 minutes

2.

A.Tells you the rate of calling minutes

B.Its free.

C. Company K as it's free for the first five minutes.

450 yards in 15 minutes (show work) (find the unit rate)

Answers

Answer:

30 yards per minute

or

150 feet per minute

Step-by-step explanation:

450/15 = 30

can i have brainliest please?

What is the value of a in the functions equation?
A. -3
B.2
C.3
D.-2

Answers

Answer:

Im guessing -2

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

A student buys 10 notebooks and 10 pencils at the school store. Each notebook cost $2. The total cost is $30. Which equation can be used to find the cost, p, of each pencil?

Answers

p=1

work: 2x10=20
30-20=10
10/10=1
1x10=10
10+20=30

The area of a rectangle is 342 square units. Its length measures 19 units. Find the
length of its diagonal. Round to the nearest tenth of a unit.
pen

Answers

Answer:

Step-by-step explanation:15.6

Marco's mom gave him d dollars for his allowance one week. He also earned $ 14.55 dollar sign, 14, point, 5 for his newspaper route that week.

Answers

The total amount of money that Marco has that week would be = $ d + 14.55.

What is an allowance income?

An allowance income is defined as the amount of money an individual earns that can be used to solve their personal needs.

Marco received double payment, an allowance from the mother and from newspaper route.

The total amount of money received from his mother for allowance for that same week = $ d

The amount of money he earned from his newspaper = $14.55

Therefore the total amount of money Marco has that week =$ d + 14.55

Learn more about addition here:

https://brainly.com/question/25421984

#SPJ1

Complete question:

Marco's mom gave him d dollars for his allowance one week. He also earned \$14.55$14.55dollar sign, 14, point, 55 for his newspaper route that week.

How much money does Marco have?

Write your answer as an expression.


[tex]\blue{\boxed{\boxed{\sf\blue{HELP ME PLEASE}}}}[/tex]

Answers

Answer:

The completed two column proof is presented as follows;

Statement  [tex]{}[/tex]                               Reason

1. AC bisects ∠A and ∠C [tex]{}[/tex]       1. Given

2. ∠ACB ≅ ∠ACD [tex]{}[/tex]                  2. Definition of bisector

3. ∠BAC ≅ ∠DAC     [tex]{}[/tex]              3. Definition of bisector

4. [tex]\overline {AC}[/tex] = [tex]\overline {AC}[/tex]     [tex]{}[/tex]                        4. Reflexive PE

5.  [tex]\overline {AC}[/tex] ≅ [tex]\overline {AC}[/tex]     [tex]{}[/tex]                      5. Segments with equal lengths are congruent

6. ΔABC ≅ ΔADC   [tex]{}[/tex]                6. By ASA

Step-by-step explanation:

The completed two column proof is presented as follows;

Statement  [tex]{}[/tex]                              

1. AC bisects ∠A and ∠C; The given data on the figure

2. ∠ACB ≅ ∠ACD;[tex]{}[/tex] A bisected angle is divided into two equal angles which are congruent to each other

3. ∠BAC ≅ ∠DAC     [tex]{}[/tex]              3. Definition of bisector

4. [tex]\overline {AC}[/tex] = [tex]\overline {AC}[/tex]     [tex]{}[/tex]                        4. Reflexive Property of Equality (PE)

5.  [tex]\overline {AC}[/tex] ≅ [tex]\overline {AC}[/tex]     [tex]{}[/tex]                      5. Segments with equal lengths are congruent

6. ΔABC ≅ ΔADC   [tex]{}[/tex]                6. By Angle-Side-Angle, ASA, is a condition for congruency of two triangles

Where two angles and the included side between the two angles on one triangle are equal to two angles and the included side between the two angles on another triangle, the two triangles are said to be congruent by the Angle-Side-Angle ASA rule and therefore, they each have equal measures for all corresponding angles sides.

Expand the expression 6(z+x+y)

Answers

Answer:

6z + 6x + 6y

Step-by-step explanation:

Just distribute the 6 and multiply them to all variables.

6. Six people are running a race. In how
many different ways can they finish first and
second?
A. 2
B. 12
C. 30
D. 36

Answers

Answer:

a

Step-by-step explanation:

Answer:

a2

Step-by-step explanation:

someone pls help :(

Answers

The answer is . . .
c= 25.9

roma selects cards from a standard of 52 cards. Once a card is selected, it is not replaced. Find the probability of each outcome.
a. a king of heart
b. a queen of spades
c. an ace of flower
d. an ace of diamond​

Answers

Given:

A card is selected randomly from a standard deck of 52 cards.

To find:

The probability of each outcome.

a. a king of heart

b. a queen of spades

c. an ace of flower

d. an ace of diamond​

Solution:

In a standard deck of 52 cards.

Total number of cards = 52

13 cards of each suit (heart, diamond, club, spade).

13 cards are Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King.

a. We need to find the probability of getting a king of heart.

Number of king of heart = 1

[tex]P(\text{a king of heart})=\dfrac{\text{Number of king of heart}}{\text{Total cards}}[/tex]

[tex]P(\text{a king of heart})=\dfrac{1}{52}[/tex]

b. We need to find the probability of getting a queen of spades.

Number of queen of spades = 1

[tex]P(\text{a queen of spades})=\dfrac{\text{Number of queen of spades}}{\text{Total cards}}[/tex]

[tex]P(\text{a queen of spades})=\dfrac{1}{52}[/tex]

c. We need to find the probability of getting an ace of flower (spades).

Number of ace of flower = 1

[tex]P(\text{an ace of flower})=\dfrac{\text{Number of ace of flower}}{\text{Total cards}}[/tex]

[tex]P(\text{an ace of flower})=\dfrac{1}{52}[/tex]

d. We need to find the probability of getting an ace of diamond​.

Number of ace of diamond​ = 1

[tex]P(\text{an ace of diamond​})=\dfrac{\text{Number of ace of diamond​}}{\text{Total cards}}[/tex]

[tex]P(\text{an ace of diamond​})=\dfrac{1}{52}[/tex]

Therefore, the required probabilities for each parts are:

(a) [tex]\dfrac{1}{52}[/tex]

(b) [tex]\dfrac{1}{52}[/tex]

(c) [tex]\dfrac{1}{52}[/tex]

(d) [tex]\dfrac{1}{52}[/tex]

The probabilities for each of the given selections are;

A) 1/52

B) 1/52

C) 1/52

D) 1/52

What is the Probability?

A) Since total number of cards in the deck is 52 and there is only one king of heart, then;

Probability of selecting a king of heart = 1/52

B) Since total number of cards in the deck is 52 and there is only one queen of spades, then;

Probability of selecting a queen of spade = 1/52

C) Since total number of cards in the deck is 52 and there is only one ace of flower, then;

Probability of selecting an ace flower = 1/52

D) Since total number of cards in the deck is 52 and there is only one ace of diamond, then;

Probability of selecting am ace of diamond = 1/52

Read more about Probability at; https://brainly.com/question/25870256

A train moving at a constant speed travels 325 mi in 8 hr. At this rate, how many miles does the train travel in 12 hr?
ANSWER ASAP!!!

Answers

Answer:

Step-by-step explanation:

In 12 hours, the train will travel 487.5 miles

8/325=40.625

40.625 x 12 = 487.5

Evaluate 3x2 – 9 when x= -2.

Answers

Answer:

3(-2)2-9

-12-9

-21

Step-by-step explanation:

×=-2 so -2×3=-6 which is -6×2=-12

and we have -9

soo -12-9=-21

A family of 3 children and 2 adults visited a health club. The club charges sy an hour for each child and $x an hour for each adult. If the family does not want to spend more than $30 an hour at the health club, which of the following graphs best models the situation? Your answer: 16 14 12 10 O 2 2 8 10 12 14 14 12 4 2. + -2 -2 2 4 6 8 10 12 14 10 10 14 101214 a O 2 2 4 8 101214 -2

Answers

We have inequality. So, we have to take a test point (0,0) and as the statement is true therefore Graph will shade towards the test point (0,0).

2(0)+3(0) ≤ 30 => 0≤ 30

What is inequality?

An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.

A family of 3 children and 2 adults visited a health club. The club charges $y an hour for each child and $x an hour for each adult.

First we make inequality according to question.

In a family number of children 3

Charge for 1 child = $y per hour

Charge for 3 children = 3y

Charge for 1 Adult = $x per hour

Charge for 2 adults = 2x

If the family does not want to spend more than $30 an hour at health club.

2x+3y≤30

Where, x and y should be greater than 0.

x≥0 and y ≥0

Now we make the graph of this inequality.

First we take equality of equation and then find x and y table.

2x+3y=30

x        y

0        10

6        6

15      0

Here we have inequality. So, we have to take a test point (0,0)

2(0)+3(0) ≤ 30 => 0≤ 30

This statement is true. So, Graph will shade towards the test point (0,0)

Please see the attachment for graph:

To learn more about the inequality visit:

brainly.com/question/25275758

#SPJ4

put the following equation in slope intercept form: -4x -5y=-10

Answers

Rearrange into y=mx + b
So

-4x - 5y = -10 Add 4x to each side
-5y = 4x - 10 Divide each side by -5
y = 4x/-5 -10/-5 Simplify
y = -4x/5 +2

Y+W-2asquared
W=400 a=5 work out the value of y

Answers

The answer is Y= -350

Is he correct? Explain why or why not.

Answers

Answer:

I think he's correct

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

He has to multiply the exponents not add them.

heyy! i’ll give brainliest help asap pls

Answers

Answer:

I'm not sure if its A or C but C sounds like it could be the right answer

Step-by-step explanation:

Answer: Planting vegations near riverbanks

Step-by-step explanation:

because everything else is harmful to the earth .-.

A bag contain 27 ball. The ratio of red to blue to yellow ball i 6:1:2 find how many red, blue and yellow ball there are

Answers

On solving the provided question we can say that  by linear equation number of, Red Balls = 6x 18; Blue Balls = 3;  Yellow Balls = 6

What is a linear equation?

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

A bag contains 27 balls

• The ratio of red to blue to yellow balls is 6:1:2

To Find : The number of red,blue and yellow balls present in the bag

Let us take the variable as 'x' to represent the number of balls in the bag

When we Put the values in a equation,

6X+X+2x = 27

9x = 27

x = 3

Hence the number of,

Red Balls = 6x 18

Blue Balls = 3

Yellow Balls = 6

To know more about linear equation visit:

https://brainly.com/question/11897796

#SPJ4

Solve by using substitution. x+2y=−1 x=y+5

Answers

Answer:

Step-by-step explanation:

the first equation we konw x=-2y-1,

then -2y-1=y+5

so, y = -2, x=3

Answer:

y = -2

x = 3

Step-by-step explanation:

y + 5 + 2y = -1 (substitute)

3y + 5 = -1        (Simplify)

3y = -6            (Get rid of 5)

y = -2                 (Divide)

x = -2 + 5         (plug in y)

x = 3                 (simplify)


hope this helps :)

A rectangle has 4 lines of symmetry.
true or false

Answers

true four lines of symmetry .
yes that is 100% true

please help i need this in asap!!!!!!!

Answers

Answer:

366.16

Step-by-step explanation:

area to paint = (10 x 6 x 2) + (10 x 2 x 2) + (6 x 2 x 2) = 184 m²

184 x 1.99 = 366.16

If the 13th term in a linear sequence is 92 and the 28th term in the sequence is
152, what is the 6th term in the sequence?

Answers

Answer:

64

Step-by-step explanation:

As the sequence is linear the rate of increase stays constant as we can see from the formula: [tex]S_n=mn+i[/tex] so it increases by m every term. In this all we do is subtract 13 from 28 to find the number of terms in between:

28-13=15

now we find the difference between 152 and 92

152-92=60

now we divide 60 and 15

60÷15=4

So M is 4 meaning every term has a difference of 4.

So now we can subtract 6 from 13:

13-6=7

Then multiply the difference per term (4) by 7

4×7=28

Finally we subtract 28 from 92 (13th terms value)

92-28=64

write an equation for a line passing through the point (1, 3) that has a slope of -2​

Answers

Given :

A line passing through the point (1, 3) that has a slope of -2​.

To Find :

The equation of such line.

Solution :

Let, the equation of line is :

y = mx + c

Here, m is slope i.e m = -2 and c is y-intercept.

So,

y = -2x + c

It is also given that the line passes through (1, 3).

3 = -2× 1 + c

c = 5

Therefore, the equation of line is y = -2x + 5 .

Find the equation of the line

Answers

Answer:

y=3x+3

Step-by-step explanation:

The y-intercept is at 3.

If you do rise over run, you get 3/1. Simplify to 3. Hope this helps.

What is the z-score for the mean?

Answers

Answer:  z = 0

This is because the mean is at the very center of the normal distribution. The center is at 0, with positive values on the right and negative values on the left.

Something like z = 1 means we're 1 standard deviation above the mean. As another example, z = -3 means we're 3 standard deviations below the mean.

Z-Score:

The value of the z-score will tell how many standard deviations the person is away from the mean.

If a z-score is equal to 0, then it will be on the mean. So, z-score for the mean is 0.

Formula:

[tex] \\ z = \frac{(x-μ)}{σ} [/tex]

Where,

z = standard scorex = observed value / raw scoreμ = mean σ = standard deviation

if 15 mL of glue is needed to make 6 oz. of slime, how many mL of glue is needed to make 10 oz. of slime

Answers

Answer:

25mL

Step-by-step explanation:

15/6=2.5ml/oz

10x2.5=25mL

use the pythagorean theorem to find the value of a.​

Answers

Answer:

a = 5

Step-by-step explanation:

Using Pythagoras' theorem in the right triangle

a² + 12² = 13²

a² + 144 = 169 ( subtract 144 from both sides )

a² = 25 ( take the square root of both sides )

a = [tex]\sqrt{25}[/tex] = 5

Answer:

pythagoras theorem formula

h^2=p^2+b^2

here hypotenuse is 13

you can take a as either perpendicular or base

lets take it base

h^2=p^2+b^2

(13)^2=(12)^2+(a)^2

169=144+a^2

169-144=a^2

25=a^2

[tex]\sqrt{25}[/tex]=a

5=a

Step-by-step explanation:

A school administrator asks each student if they participate in a sport and if they participate in a club. The results are shown below.

Participates in a Sport
Yes No Total
Participates in a Club Yes 620 450 1070
No 325 535 860
Total 945 985 1930
What percentage of students do not participate in a sport?

27.7%
44.6%
51.0%
62.2%.


answer is 51.1

Answers

The percentage of students who do not participate in a sport is C. 51.0%.

How to calculate the percentage?

To find the percentage of students who do not participate in a sport, we can use the following formula:

(Number of students who do not participate in a sport) / (Total number of students) * 100%

From the table, we can see that the number of students who do not participate in a sport is 985, and the total number of students is 1930. So, plugging these values into the formula gives us:

= 985 / 1930 * 100%

= 51.03%

So, about 51.03% of students do not participate in a sport.

Learn more about Percentage on:

https://brainly.com/question/24304697

#SPJ1

A submarine must descend at an average rate of at least 12 feet per minute for 5 minutes. The table shows how many feet the submarine descends
in the first 4 minutes. How many feet must the submarine descend in the fifth minute?

Answers

Submarine must descend 17 feet in the 5th minute.

What is the average of the data?

Only numerical variables, whether continuous or discrete, can be used to calculate the mean. It is calculated by merely dividing the total number of values in a data set by the sum of all the values in the data set. A frequency table of data or raw data can both be used for the calculation.

Let the distance descended by submarine in 5th minute = x feet

Average distance descended by the submarine

= (Total distance distended/ Duration or time)

= (6 + 8 + 14 + 15 + x) / 5

= (43 + x) / 5

Statement given in the question → "Submarine must descend at an average rate of at least 12 feet per minute"

So the inequality for the statement will be,

(43 + x) / 5 ≥ 12

43 + x ≥ 60

x ≥ 17

Therefore, submarine must descend 17 feet in the 5th minute.

To know more about average of the data, click on the link

https://brainly.com/question/20003697

#SPJ1

Other Questions
need help asap plssss A. Identify and explain a pattern or trend in the chart that addresses the interactions between the President and Congress. B. Using the data in the chart, describe the relationship between the number of presidential vetoes and the number of congressional overrides. C. Draw a conclusion from the chart on the presidential powers in the legislative process. D. Explain how this chart relates to the constitutional principle of checks and balances. The lot is 35 feet wide. The dividers are each 1 foot wide.If there are 4 parking spaces, calculate how wide each space should be? Write a short description of the events which destroyed Pompeii as if you were there. A convex lens has a focal length of 25.5 cm. If an object is placed 72.5 cm from the lens, the image's distance from the lens will beQuestion 14 options:33.5 cm39.3 cmnone of the above.31.7 cm What is mB?A. 67B. 54C. 57D. 150 The extent to which a decision maker is willing to gamble when making a decision is known as ____________ propensity. Can anyone help me please, I need to figure out the value of n with work shown 5 13 - 4 56helpNOQWWWWW write a cause and effect essay about 3 inventions describing WHY THE INVENTION WAS CREATED then HOW THE INVENTION CHANGED THE WORLD and should include an introduction, 3 body paragraphs, and a conclusion (HERE IS AN EXAMPLE PICTURE) PLEASE DO NOT USE LINKS. give any four examples of how being together helped you both morally and physically lord someone please help :) Which variable can be measured with a weighing balance? In the book Drivers Ed by Caroline Cooney Who keeps the signs? Chapter 3. 1. What is the process in which two daughter cells form called? 2. What are the five phases of mitosis?3. What is the longest stage of mitosis? 4. What occurs during prophase?5. What occurs during metaphase?6. What occurs during anaphase?7. What occurs during telophase? 8. Meiosis divides the cell into how many daughter cells? 9. Is Mitosis or Meiosis used in sexual reproduction? 10. What is the difference between asexual and sexual reproduction? Which statement is the strongest claim for an argumentative research paper? A. Main Street is always busy because of all the stores there. O B. Sometimes the traffic on Main Street is so heavy that no cars can move. O C. Main Street is the busiest street in the city. O D. Adding another traffic light will help ease traffic on Main Street. what is sustainable development? Find the length of side LK. What does the letter E represent in GREAT?Think of your optionsReview the pros and cons of each choiceThink about your problemMake a decision Boone Co.'s sales, based on past experience, are 20% cash and 80% credit. Credit sales are typically collected as follows: 40% in the month of sale, 50% in the month after the sale, and 10% in the second month following month of sale. On December 31, the accounts receivable balance is $73,500, of which $27,000 is from November sales. Total sales for January and February are budgeted to be $113,000 and $133,000, respectively. What are Boone Co.'s budgeted cash receipts for January