Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. Let x represent the number of fiction books and y represent the number of nonfiction books.

The system of equations models the total costs for each.

x + y = 26
x – y = 12
Elliot added the two equations and the result was
2x = 38.

Solve the equation. How many of each type of book does Elliot have?

fiction books

nonfiction books

Answers

Answer 1

Answer:

Step-by-step explanation:

As 2x -38

x-19

now.

putting value in eq 1

X-Y-12

thus,19-Y =12

Y=7

Fiction books=X=19


Related Questions

square root of 637/44​

Answers

[tex]\sf \large \boldsymbol {} \displaystyle \sqrt{\frac{637}{44} } =\frac{7\sqrt{143} }{22} \approx3,8[/tex]

What is the length of the indicated arc ?



A.
(


3
)
B.

C.

D.

E.
None of the above

Answers

Answer: can u pls upload a pic of the arc so i can help :)

The owner of a flower shop sells 18 roses gor 90$ what is the cost in dollars per rose

Answers

The equation would be 90/18 which would give you the cost of 5 dollars per rose

Answer:

$5

Step-by-step explanation:

divide 90 by 18

please brainiest

can you add fractions with unlike denominators? if so what do you have to do.

Answers

If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator . To do this, you need to find the least common multiple (LCM) of the two denominators.

To add fractions with unlike denominators, rename the fractions with a common denominator. Then add and simplify.

If Sarah walks 5 miles in 50 minutes, then Sarah will walk how far in 80 minutes if she walks at the same speed the whole time? If necessary, round your answer to the nearest tenth of a mile.

Answers

Answer:

Sarah will walk 8 miles.

Hope this helps :D

Step-by-step explanation:

I got 8 miles. I’m not sure if that’s right but if it’s night I’m sorry.

Multiply the following
Provide in standard form :)

Answers

Answer: See my work

Step-by-step explanation:

Answer:

(−3)(2^2−+3)

Step-by-step explanation:

a basketball team sells tickets that cost $10, $20, or for VIP seats, $30. The team has sold 3241 tickets overall. It has sold 101 more $20 tickets that $10 tickets. The total sales are $59830. How many tickets of each kind have been sold?

Answers

Answer:

x = 1,213

y = 1,314

z = 714

Step-by-step explanation:

$10 = x

$20 = y

$30 = z

10x + 20y + 30z = 59,830

____________

Solving for x:

Since there 101 more $20 tickets than $10 tickets we are making the equation of:

y = x + 101

First equation (substitute the equation above for y)

x + (x+ 101) + z = 3,241

Subtract 101 from 3,241

2x + z = 3,140

Second equation (substitute y with 'x + 101 ')

10x + 20(x + 101) + 30z = 59,830

10x + 20x + 2,020 + 30z = 59,830

Subtract 2,020 from 59,830

10x + 20x + 30z = 57,810

Add 10x and 20x

30x + 30z = 57,810

Cancel out the 30's and divide 57,810 by 30

x + z = 1,927

Now solve using the first 2 equations

2x - z =3,140 = x + z = 1,927

Subtract z

2x = 3,140 = x + 1,927

Divide x

x = 3,140 = 1,927

Subtract 1,927 from 3,140

x = 1,213

____________________

Solving for y:

y = x + 101

y + 1,213 + 101

y = 1,314

____________________

Solving for z:

1,213 + 1,314 + z = 3,241 (Overall tickets sold)

2,527 + z = 3,241

Subtract 2,527 from 3,241

z = 714

____________________

Check math:

10x + 20y + 30z = 59,830

10(1,213) + 20(1,314) + 30(714) = 59,830

what is the range i need help

Answers

Answer:

[-7, 0]

Step-by-step explanation:

The range describes all values that y can take on. You may notica that the highest point of the graph has an y coordinate of 0 while the lowest has one of -7. Both values are included because they have filled in dots: this means the parenthesis are closed. So, the range would be: [-7, 0]. An alternate way to write this is [tex]-7\leq y \leq 0[/tex].

What is the slope of the line?

Answers

Answer:

Slope = - 3/2

Step-by-step explanation:

(0,2) and (-2,5)

(5-2)/(-2-0) = 3/-2

A bag contains
18
red balls and
4
blue.


What percentage of balls are red?

Answers

Answer:

81% of the balls are red

Step-by-step explanation:

If you want to find the percentage of balls that are red you will have to divide it by the total number of balls in the ball

18 red + 4 blue = 22 balls  part (a)

18/22 = 9/11   part (b) simplify

9/11 * 100     part (c) multiply the fraction by a hundred to get the percentage

81.81 ~ 81%  part (d) solve

Answer:

81 9/11%

Step-by-step explanation:

First add the number of red and blue balls together. 18 + 4 = 22

What is the number of red balls? It’s 18

We have to begin by writing this information as a fraction. 18 balls would be the numerator and the total of red and blue balls together, 22 will be the denominato. Now, we have the fraction, 18 (red) / 22 (total). To find the percentage, divide the numerator by the denominator. 18 divided by 22, which is 9/11. Now multiply 9/11 by 100, which gives you 81 9/11%.

Therefore, the answer is 81 9/11%.

What is the solution to?

7x – 2y = 18

—4x + 3y = –14


• (-2, 2)
• (1, 6)
• (4, 5)
• (2, - 2)

Answers

Answer:

(2, -2)

Step-by-step explanation:

Solve 7x - 2y = 18 for x:

[tex]7x - 2y = 18[/tex] [tex]7x - 2y + 2y = 18 + 2y[/tex] (Add 2y to both sides)[tex]7x = 2y + 18[/tex] [tex]\frac{7x}{7} = \frac{2y+18}{7}[/tex] (Divide both sides by 7)[tex]x = \frac{2}{7}y+\frac{18}{7}[/tex]

Substitute 2/7y+ 18/7 for x in -4x + 3y = -14

[tex]-4x + 3y = -14[/tex] [tex]-4(\frac{2}{7}y+\frac{18}{7})+3y=-14[/tex] [tex]\frac{13}{7}y-\frac{72}{7}=-14[/tex] (Simplify both sides of the equation) [tex]\frac{13}{7}y-\frac{72}{7}+\frac{72}{7} =-14+ \frac{72}{7}[/tex] (Add 72/7 to both sides)[tex]\frac{13}{7}y=\frac{-26}{7}[/tex] [tex]\frac{13}{7}y*\frac{7}{13}=\frac{-26}{7} * \frac{7}{13}[/tex] [tex]y = -2[/tex]

Substitute -2 for y in x = 2/7y + 18/7

[tex]x = \frac{2}{7}y + \frac{18}{7}[/tex] [tex]x = \frac{2}{7}(-2) + \frac{18}{7}[/tex] [tex]x = 2[/tex] (Simplify both sides of the equation)

Given that x = 2 and y = -2, the point is: (2, -2)

Therefore, the solution is (2, -2).

2,-2 because X =2 and y=-2 so therefore 2,-2

Is this a right angle, obtuse triangle, Equilateral triangle or acute angle?
I will mark u as BRAINLIEST ANSWER if u help me ​

Answers

Answer:

this is acute angle.............. { because it's less than 90°}

Acute because it is under 90 degrees

Complete the table using the equation 2y=x+1

Answers

I filled in the answers on the chart in the image below

The complete table for the expression 2y=x+1 is below:-

x                   y                ( x, y)

-2              ( -1 / 2)             [ -2, ( -1 / 2)]      

-1                0                    [-1 ,0]

0               ( 1 / 2 )            [0, ( 1 / 2 )]

1                1                      [1,1]

2              ( 3 / 2 )             [2, ( 3 / 2 )]  

What is an expression?

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

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The values of the expression 2y=x+1 will be solved as below:-

2y=x+1

2y = -2 + 1

y = -1 / 2

2y=x+1

2y = -1 + 1

y = 0

2y=x+1

2y = 1 + 1

y = 2 / 2 = 1

2y=x+1

2y = 2 + 1

y = 3 / 2

Therefore, the values of the expression are calculated above.

To know more about expressions follow

https://brainly.com/question/3493733

#SPJ2

Isabel is saving money to buy a game. The game costs $30, and so far she has saved two-thirds of this cost. How much money has Isabel saved?
so

Answers

Answer: 20 $

divide 30 by  [tex]\frac{2}{3}[/tex]

30 /   [tex]\frac{2}{3}[/tex] = 20

she has saved 20 $ so far

How do I find the value of h(13)-f(-1) with h(x)= |2-4x| ???

Answers

Answer:

72600

Step-by-step explanation:

thats it calculator lng yan

In one year, there were a total of 13,332 kidney transplants performed in the United States. Based on this data, about how many kidney transplants were performed each day?Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

Answers

Answer:

36.5

Step-by-step explanation:

365 days in a year

13,332/365

4 of 5
PG
Caroline can type 3500 words in 50 minutes.
Natasha can type 4550 in 70 minutes.
Krutika can type 2400 words in 40 minutes.
Who types at the fastest rate of words per minute?
А
Caroline
B
Krutika
С
Natasha

Answers

Answer:

caroline types 3500/50=70 words in 1 minute

natasha.............4550/70=65..................................

krutika................2400/40=60...............................

so the answer is A

Step-by-step explanation:

Answer:

A) Caroline

Step-by-step explanation:

To find this, simply divide the amount of words they type by the amount of minutes they type:

To solve Caroline's do:

3500/50=70

Caroline types 70 words per minute.

To solve Natasha's do:

4550/70=65

Natasha types 65 words per minute.

To solve Krutika's do:

2400/40=60

Krutika types 60 words per minute.

Since Caroline has the highest wpm, we can safely say that Caroline types the fastest rate of words per minute.

how do i solve xk=v-w solve for x

Answers

Answer:

x = (v-w)/k

Step-by-step explanation:

Step 1: Isolate x by dividing both sides of the equation by k.

[tex]\frac{xk}{k} = \frac{v-w}{k}[/tex] [tex]x = \frac{v-w}{k}[/tex]

Therefore, the answer is [tex]x = \frac{v-w}{k}[/tex].

Answer:

x = [tex]\frac{v-w}{k}[/tex]

Step-by-step explanation:

xk = v - w ( isolate x by dividing both sides by k )

x = [tex]\frac{v-w}{k}[/tex]

0 -7+ 3x -2 (3-44) 5(2x-3) +4(3x1)+4

Answers

Answer: you answer is

Step-by-step explanation:

Put the following equation of a line into slope-intercept form, simplifying all fractions. 5 x + 2 y = 10

Answers

Answer:

y = -5/2x + 5

Step-by-step explanation:

slope intercept form: y = mx + b

5x + 2y = 10 ------- subtract 5x on both sides

2y = -5x + 10 ------- divide 2 on both sides

y = -5/2x + 5

What is the answer to this math question

Answers

Answer:

11

Step-by-step explanation:

1.80m + 0.6s = 12.00

[substitute the value of m into the equation]

1.80×(3) + 0.6s = 12

5.4 + 0.6s = 12

[make s the subject of the formula]

0.6s = 12 - 5.4

0.6s = 6.6

[divide both sides of the equation by 0.6]

0.6s / 0.6 = 6.6 / 0.6

s = 11

To prove that 11 is correct

[substitute the value of m and s into the equation]

1.80m + 0.6m = 12.00

1.80×(3) + 0.6×(11) = 12.00

5.4 + 6.6 = 12.00

12.00 = 12.00

Which value of p makes the equation 7p+3=4p+9 true?


p=2

p=3

p=0

p=5

Answers

p=2

Step-by-step explanation:

7×2=14

14+3=17

4×2=8

8+9=17

they both get the same end product, meaning 7p+3=4p+9 is TRUE

*edit

Answer:

[tex] \sf \: a) \: p = 2[/tex]

Step-by-step explanation:

Now we have to,

→ Find the required value of p.

The equation is,

→ 7p + 3 = 4p + 9

Then the value of p will be,

→ 7p + 3 = 4p + 9

→ 7p - 4p = 9 - 3

→ 3p = 6

→ p = 6 ÷ 3

→ [ p = 2 ]

Hence, the value of p is 2.

Anyone has an answer to this question?

Answers

Answer:

1/100 cos100⁰ 100 0.1 tan100⁰

Write the equation of the line in slope intercept form with the given point and slope.
(0, 3); slope = -2

Answers

Answer:

[tex]y = mx + c \\ 3 = - 2(0) + c \\ c = 3 \\ y = - 3x + 3[/tex]

Answer:

y =-2x+3

Step-by-step explanation:

The y intercept is 3  ( the y intercept is when x =0)and the slope is -2

The slope intercept form is y = mx+b where m is the slope and b is the y intercept

y =-2x+3

Solve for x: 2x+1/3 + 1 = x-4/6

This is my last question.​

Answers

Answer:

Hence, the value of "x" is -4.

Step-by-step explanation:

[tex]\sf \leadsto \dfrac{2x + 1}{3} + 1 = \dfrac{x - 4}{6}[/tex]

[tex]\sf \leadsto \dfrac{2x + 1 + 3}{3} = \dfrac{x - 4}{6}[/tex]

[tex]\sf \leadsto \dfrac{2x + 4}{3} = \dfrac{x - 4}{6}[/tex]

[tex]\sf \leadsto 6(2x + 4) = 3(x - 4)[/tex]

[tex]\sf \leadsto 12x + 24 = 3x - 12[/tex]

[tex]\sf \leadsto 12x - 3x = -12 - 24[/tex]

[tex]\sf \leadsto 9x = -36[/tex]

[tex]\sf \leadsto x = \dfrac{-36}{9}[/tex]

[tex]\sf \leadsto x = -4[/tex]

Hence, solved!!

Answer:

x=-4

Step-by-step explanation:

[tex] \frac{2x +1 }{3} + 1 = \frac{x - 4}{6} [/tex]

[tex] \frac{2x + 1 + 3}{3} = \frac{x - 4}{6} [/tex]

[tex]6(2x + 4) = 3(x - 4)[/tex]

[tex]2(2x + 4) = x - 4[/tex]

[tex]4x + 8 = x - 4[/tex]

[tex]4x - x = - 4 - 8[/tex]

[tex] 3x = - 12[/tex]

[tex]x = \frac{ - 12}{3} [/tex]

[tex]x = - 4[/tex]

6. A road runs 1,200 feet from X to Y and then makes a right angle to Z, a distance of 500
ft. A new road is being built to connect X and Z. How much shorter wilt the new road
be?

Answers

Answer:

400 ft

Step-by-step explanation:

Use the Pythagorean to find the distance XZ:

[tex]XZ=\sqrt{XY^2+YZ^2} =\sqrt{1200^2+500^2} =\sqrt{1690000} =1300[/tex]

The difference of the distance is:

1200 + 500 - 1300 = 400 ft

A worker has job offers from two companies. The information below summarizes the job offer from each company.

Company A:

Starting salary of $31,000
Raise of $3000 each year

Company B:

Starting salary of $38,000
Raise of $2000 each year


Part A: Write an equation in terms of n years that can be used to determine the number of years when the salaries would be the same for both companies.

Part B: Use the equation you wrote in part A to determine the number of years it would take for the salaries to be the same for both companies. Use mathematics to support your answer.

Answers

Answer:

Part A: 31000 + 3000x = 38000 + 2000x; Part B: 7 years.

Step-by-step explanation:

x = number of years since start

For Company A, we have that salaryA(x) = 31000+3000x,

For Company Part B: salaryB(x) = 38000+2000x

We want x such that salaryA(x) = salaryB(x).

Thus,

31000 + 3000x = 38000 + 2000x (Answer to part A)

Subtracting 31000 from both sides of the equation implies that:

3000x = 7000 + 2000x.

Subtracting 2000x from both sides implies that:

1000x = 7000.

Then, dividing both sides of the equation by 1000 yields:

x = 7 years (Answer to part B)

Graph the line with a slope of -5/3 that contains the point (3, -8)​

Answers

Answer:

Step-by-step explanation:

convert 150.55 decimal to binary​

Answers

10010110.10001100110011001101

Answer:

10010110 . 100011₂

Step-by-step explanation:

A real number consists of two parts.

That is, ( 1 ) Integer part     ( 2 ) fractional part

Let us take the given number as an example.

Here, 150 . 55 ←  fractional part

           ↑        

(integer part)

So, to make such a decimal number into a binary number you have to use a method like this.

First, you have to make the integer part a binary number.For that, you have to divide the integer part by 2 until it gets zero.Important thing is you have to write the remainders in each step.After that, you have to write the remainders from bottom to top.Now, let us consider the fractional part.To convert the fractional part into a binary number you have to multiply only the fractional part in each step by two.There you'll get an integer part before the fractional part. In this step, you have to write the integer part from top to bottom.

Let us solve it now.

Integer part

2 |150  

2 |75    - 0

2 | 37   - 1

2 | 18     - 1

2 | 9      - 0

2 | 4       - 1

2 | 2       - 0

2 | 1         - 0

    0         - 1

∴ 150 ⇒ 10010110₂

Fractional part

   | . 55 × 2

 1 | . 10 × 2

0 | . 2 × 2

0 | . 4 × 2

0 | . 8 × 2

 1 | . 6 × 2

 1 | . 2

As this fractional part not getting the zero even we multiply by 2 continuously, we have to write an approximate value for this.

150.55 ⇒ 10010110 . 100011₂

Is the graphed function linear?

Answers

Answer:

Yes, because each input value corresponds to exactly one output value.

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