Sophia and her brother combined to read a total of 40 books over the summer. Sophia read four times as many books as her brother. How many books did each person read? show work please​

Answers

Answer 1

Answer:

Sophia read 32 books and her brother read 8

Step-by-step explanation:

Represent Sophia as 4x and her brother as x

4x + x = 40

5x = 40

x = 8

Therefore, her brother read 8 books and Sophia read 32 books


Related Questions

I need help with solving this with synthetic division

Answers

Answer:

Synthetic division is another way to divide a polynomial by the binomial x - c , where c is a constant.

Step-by-step explanation:

Set up the synthetic division.

Bring down the leading coefficient to the bottom row.

Multiply c by the value just written on the bottom row.

Add the column created in step 3.

Nicholas borrowed $4 from his mother each of the last three months . How much money do owe his mother?

Answers

Multiply 4 by 3 to represent the amount he borrowed to the amount of months he did this.  

4 x 3 = 12

So, he owes his mother 12 bucks.

Use multiplication to solve this.
4 times 3 = 12
Nicholas owes his mom $12

the equation of the line which passes through the point (0,5) and has a gradient of 4 is

Answers

Answer:

y = 4x + 5

Step-by-step explanation:

slope = m = 4

y-intercept = b = 5

y = mx + b

y = 4x + 5

if rs=44 and qs=68 find qr.

Answers

Answer:

qr=68r/s

Step-by-step explanation:

rs=44

s=44/r

qs=68

q(44/r)=68

44q/r=68

44q=68r

q=68r/44

rs=44

r=44/s

qr=(68r/44)(44/s)=68r/s

Find the 9th term of geometric sequence whose first term is 2 and common ratio is 2
520
512
506
256

Answers

5-12 is the answer for 520 5-06

If F is the function defined by F(x)=3x−1 find the solution set for F(x)=−7

Answers

[tex]f(x) = -7 \\\\\implies 3x -1 = -7\\\\\implies 3x = -7 +1 \\\\\implies 3x = -6\\\\\implies x = - \dfrac 63 =-2[/tex]

F(x)=3x-1
-7=3x-1
-6=3x
-6/3=x
X=-2

What math do high schoolers learn? Do they only learn trigonometry, geometry and equations?

Answers

Answer:

trigonometry

Step-by-step explanation:

hopes this helps

Answer:

This depends on the level they are at. For example, I am a 7th grader in Algebra 1 Honors, but most students take Algebra 1 in high school. Classes range from Algebra 1 - Calculus in High school.

Step-by-step explanation:

Answer pls in standard form too

Answers

Answer:

a)

Slope form y=2x+3

Standard form 2x-y=-3

b)

Slope y=3/5x-6

Standard 3x-5y=30

c)

slope y=-3/2x+9

standard 3x+2y=18

d)

slope y=-3x+0

standard = 3x+y=0

Step-by-step explanation:

a)

Slope form y=2x+3

Standard form 2x-y=-3

b)

Slope y=3/5x-6

Standard 3x-5y=30

c)

slope y=-3/2x+9

standard 3x+2y=18

d)

slope y=-3x+0

standard = 3x+y=0

Complete the table of values for x-y=6
On the grid, draw x+y=6

Answers

Answer:

couldnt draw sorry but heres the answers for a

Step-by-step explanation:

for x = -2

x+y= 6

-2+8=6

so y=8

for x=-1 do the same and y= 7

for x =0 y=6

for x=1 y=5

for x=2 y=4

for x=3 y=3

x/2 = y/3
find value of x, y if x+y =30

Answers

Answer:

x=12, y=18

Step-by-step explanation:

write an equation in slope-intercept form for a line that goes through (9,-2) and is parallel to y=7x+2​

Answers

Answer:

y=7x-65

Step-by-step explanation:

Answer 1-5 for each! I’ll mark as brainiest

Answers

Answer:

4 because I had this quiz and I got 80

PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
Tell whether a triangle can have sides with lengths 17, 20, and 4.
true or faulse

Answers

Answer:

True

Step-by-step explanation:

5/8 ,2/12 ,8/10 least to greatest

Answers

Answer:

2/12 5/8 8/10

Step-by-step explanation:

I hope this helps!!!

2/12 = 0.16

5/8 = 0.625

8/10 = 0.80

Answer 1 and 2 seriously please.​

Answers

Answer:

Step-by-step explanation:

1

(x+3)+(x-1)+(x+1) = 90°

3x + 3 = 90°

3x = 90 - 3

3x = 87

x = 87/3

x = 29°

2

x + (x+104) = 180°

2x + 104 = 180°

2x = 180 - 104

2x = 76

x = 76/2

x = 38°

are 3x + 2 and 3 (x + 2 ) equal

Answers

Answer:

No

Step-by-step explanation:

Parenthesis means to multiply. So, to simplify the expression 3(x + 2), we need to distribute 3. In other words, we need to multiply 3 to x and to 2. Thus 3(x + 2) = 3x + 6.

Solve this please do the model

Answers

First solve by converting the mixed fraction into an improper fraction. Multiply 3 by 4 and add it to 3 and put it over 4 to get 15/4. Now multiply 2 by the numerator to get 30/4. Not convert to mixed fraction and you get 7 and 1/2 as an area.

bobby and his brother had 3/4 of a pizza leftover after dinner.their father came home and ate 1/2 of the leftover pizza.how much pizza did their father eat

Answers

The answer is 3/8 that he ate

Can someone help me with this please

Answers

Answer:

r = 59

Step-by-step explanation:

59 + r = 118

59 + r - 59 = 118 - 59

r = 59

Since 59 is being added to r, and you want r alone, you must subtract 59 from the left side of the equation. The rule is that you must do the same operation to both sides of the equation. Therefore, to solve for r, subtract 59 from both sides of the equation.

Is that the right answer plzzzz help meee

Answers

Answer: Yes

Step-by-step explanation:

Yes area should be right because you are finidng how much it covers which would be area. A way I used to remember it was you looking for the AREA it covers so that awnser is area! Hope that helped!

A recipe that serves 6 people calls for 1 1/2 cups of sugar. Suppose you have 9 cups of sugar. Do you have enough to make the recipe for 40 people?

Answers

You do NOT have enough cups of sugar for 40 people
If a recipe calls for 1 1/2 OR 1.5 (decimal form) for 6 people then:
1.5/6 = 0.25 cups of sugar PER person

0.25 x 40 = 10 cups
We will need 10 cups of sugar for 40 people but the we only have 9 cups
therefore 9 cups arent enough for 40 ppl

Which of the following rational functions is graphed below?

Answers

Considering the asymptotes, the rational function given below is the following:

B. [tex]f(x) = \frac{1}{x(x + 2)}[/tex]

What are the asymptotes of a function f(x)?

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

From the graph, the vertical asymptotes are x = 0 and x = -2, hence the denominator is given by:

x(x + 2).

The function has no x-intercepts, hence the numerator is of 1. So the function is given by:

B. [tex]f(x) = \frac{1}{x(x + 2)}[/tex]

More can be learned about asymptotes at https://brainly.com/question/16948935

#SPJ1

Write 51 as a product of primes​

Answers

Answer:

The prime factorization of 51 is the product of prime numbers which results in 51. Thus, the prime factorization of 51 is 51 = 3 × 17.

Why is the addition or subtraction of k to the output of a function considered a translation?

Answers

Answer:

k translates a function up or down

Step-by-step explanation:

hope this helped :)

Sanam eats 5 almonds daily. How many almonds does she eat in 157 days?​

Answers

Answer:

785 almonds

Step-by-step explanation:

157 x 5 = 785

Given the function below find f(0).

f(x)=x2−3x+5

Group of answer choices

-5

0

5

10

Answers

Answer:

5

Step-by-step explanation:

f(x) = x² - 3x + 5

f(0)

putting x as 0 in the equation

f(0) = 0² - 3(0) + 5

= 0 - 0 + 5

= 5

x = {(2, 4), (3, 4), (4,4), (5, 4)) Is x a function and why?

Answers

Because they all have a different x number. Even though the y numbers are the same you can tell wether a set of numbers are a function by the x numbers. So since there are different x numbers it is a function. I hope this helps!

Answer:

x is a function

since it forms a horizontal line it passes the vertical line test and is a function

Kelly had one liter of soda she divided equally into 10 classes to share with her friends how much total did each friend get.: 1 Deciliter, 1 centiliter, or 1 milliliter???​

Answers

Answer:

1 decilitre  

Step-by-step explanation:

You can look up charts for these. Look up litre chart

One way to convert from inches to centimeters is to multiply the number of inches by 2.54. How many centimeters are there in 3/4 inches?

Answers

Answer:

1.905

Step-by-step explanation:

A canoe rental service charges a $30 transportation fee and $15 an hour to
rent a canoe. Write and equation. How long was the canoe rented if a
customer paid $105?

Answers

Answer:

5 hours

Step-by-step explanation:

Your equation is 105 = 15x + 30 subtract 30 from both sides, then divide by 15 to get x = 5 hours.

Brainliest would be apprappreciated. :-)

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