A middle school student reads 48 books in 31/3 years. Find the students reading rate in books per year

Answer:

The point (4,7) is a solution to the system of equations.

Please also check the attached graph.

Step-by-step explanation:

Given the system of equations

[tex]y=2x-1[/tex]

[tex]y=\frac{1}{2}x+5[/tex]

Let us solve the system of equations using the elimination method

[tex]\begin{bmatrix}y=2x-1\\ y=\frac{1}{2}x+5\end{bmatrix}[/tex]

Arrange equation variables for elimination

[tex]\begin{bmatrix}y-2x=-1\\ y-\frac{1}{2}x=5\end{bmatrix}[/tex]

subtracting the equations

[tex]y-\frac{1}{2}x=5[/tex]

[tex]-[/tex]

[tex]\underline{y-2x=-1}[/tex]

[tex]\frac{3}{2}x=6[/tex]

now solving [tex]\frac{3}{2}x=6[/tex] for x

[tex]\frac{3}{2}x=6[/tex]

Multiply both sides by 2

[tex]2\cdot \frac{3}{2}x=6\cdot \:2[/tex]

Simplify

[tex]3x=12[/tex]

Divide both sides by 3

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

Simplify

[tex]x=4[/tex]

For [tex]y-2x=-1[/tex] plug in x = 4

[tex]y-2\cdot \:4=-1[/tex]

[tex]y-8=-1[/tex]

Add 8 to both sides

[tex]y-8+8=-1+8[/tex]

Simplify

[tex]y=7[/tex]

Therefore, the solution to the system of equations is:

(x, y) = (4, 7)

Hence, the point (4,7) is a solution to the system of equations.

Please also check the attached graph.

Answer:

Plural of Axis. Pronounced "ak-seez". Axes often means the "x" and "y" lines that cross at right angles to make a graph. See: Axis (graph) Cartesian Coordinates.

Step-by-step explanation:

Answer:

CF

Step-by-step explanation:

Mark as brainliest please

Answer: X=1.1

Step-by-step explanation: Have a brilliant day- Lily (^_^)

Using the concept of rational numbers, it is found that the best method Toby could use is a multiplication of fractions, as the product of two fractions(two rational numbers) is always a fraction(rational number).

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A similar problem is given at https://brainly.com/question/10814303

Answer:

3.775 or 151/40

Step-by-step explanation:i am 99% sure thats the answer :)

Answer:

If you got 35% off, you only paid 65% of the original price. Call that x. Then we write

x = $468 / .65 = $720 is the original price.

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Answer:

w=122

x=122

m<Z=58

Step-by-step explanation:

Answer:

a) <

b) <

c) >

d) <

e) >

Step-by-step explanation:

Answer:

Step-by-step explanation:

Assume the parabola is vertical.

y = a(x-0)^2 +7

y = ax^2 + 17

Plug in (1,-2) and solve for a

-2 = a1^2 + 17

a = -19

y = -19x^2 + 7

Answer:

dang thats tough..

Step-by-step explanation:

idrk what an asvab is but it sounds horrible im

sorry that happened :(

9514 1404 393

Answer:

  33 ft²

Step-by-step explanation:

Each triangle's area is given by the formula ...

  A = (1/2)bh

  A = (1/2)(3 ft)(4 ft) = 6 ft²

The square base area is given by ...

  A = s²

  A = (3 ft)² = 9 ft²

__

The total area of the pyramid is the area of the base plus the area of four triangular faces.

  Total Area = (9 ft²) + 4(6 ft²) = (9 +24) ft²

  Total Area = 33 ft²

Answer:

$16034.03

Step-by-step explanation:

I'm going to assume it's compound interest

10000(1+.083)^12

26034.03

subtract the original amount to find out how much was earned

26034.03-10000=16034.03

Answer:

$9960 would be earning in 12 years

Step-by-step explanation:

8.3% of 10,000 is 830

1% of 10,000 is 100

.3 would just be 30

.4 would be 40

etc etc

so 830 times 12(years) is $9960.00

Answer:

$45

Step-by-step explanation:

60×0.75=45

Hope this helps

At the big fish store, Sarah has a coupon good for 25% off any purchase. She will pay $45 for a $60 item if she purchases it at a reduced price.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

It is given that Sarah has a coupon for 25% off any item at the big fish store. If she buys an item regularly marked $60,

Sale price =Original price - discount

Sale price = $60 - 25% of  $60

Sale price = $60 - $ 15

Sale price = $45

Thus, at the big fish store, Sarah has a coupon good for 25% off any purchase. She will pay $45 for a $60 item if she purchases it at a reduced price.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ2

Answer:

18.18%

Step-by-step explanation:

The percentage of sweets in the bag that are yellow is as follows:

Let us assume the number of yellow sweets be x

So for number of blue sweets be 4x

And, the number of red sweets be 0.5x

So it could be written as

Blue Red Yellow

4        0.5    1

8        1        2

So for yellow, the percentage is

= 2 ÷ (8 + 1 + 2)

= 2 ÷ 11

= 18.18%

Answer:

154

Step-by-step explanation:

Since its a circle, it will be 360 degrees, so then do 190+26=206, then do 360-206=154

Answer:

here.

 Area = (length) x (width) .

     Area = (1/3 yard) x (3/4 yard)

                               =  (1/3  x  3/4)  yard²

                                  =        1/4     yard² .

Answer:

3/12

Step-by-step explanation:

1/3=4/12

3/4=9/12

4/12*9/12=3/12 (.25)

Add them all up, 3.2 + 1.75 + 1.9 = 6.85

The total weight is 6.85 pounds.

Answer:

319

Step-by-step explanation:

Dividendo = divisor × cociente + residuo

Espero que esto ayude

Answer: 2 and 1/4

Step-by-step explanation: You make the fraction 9/4 then simplify.

Answer:

The answer is 38.48

Step-by-step explanation:

Picture with explanation provided below.

Answer: b is your answer

Step-by-step explanation:

Answer:

C. AB/EF = BC/EF

Step-by-step explanation:

If the triangles are similar then the ratio of these side lengths must be equal.

9514 1404 393

Answer:

  y = 3x -8

Step-by-step explanation:

We assume you want the tangent to the parabola y = x² -3x +1 at the given point. The slope is found using the derivative of the function at that point.

  y' = 2x -3

At x=3, the slope is ...

  y' = 2(3) -3 = 3

The equation of the line through point (3, 1) with a slope of 3 is ...

  y -1 = 3(x -3) . . . .  use the point-slope form of the equation for a line

  y = 3x -9 +1 . . . . . eliminate parentheses, add 1

  y = 3x -8

Answer:

-21y+7

Step-by-step explanation:

-7(3y-1) = 3y(-7) -1(-7) = -21y+7

Answer:

-21y + 7

Step-by-step explanation:

Just times - 7 with 3y then - 7 times with - 1

Answer:

x=5y-35

Step-by-step explanation:

Answer:

y=2x-2

Step-by-step explanation:

The slope-intercept form is known as y=mx+c

y= the y coordinate

m= the gradient/slope

x= the x coordinate

c= y intercept

The y intercept is when the line crosses the y axis. The graph shows the y intercept is (0,-2). This means our value of c is -2.

Now we must find the value of m. The value of m is the slope of the graph. I usually figure out the slope by doing the change in y / change in x (by counting along how many squares). The change in y is two squares up and the change in x is one square along.

Therefore, the gradient would be 2/1. This equals 2 (so m=2).

Now, we can easily substitute these values into the equation given earlier. Therefore, the equation would be y=2x-2.

Answer:

shift the graph horizontally to the right for 3 units and then shift vertically up 2 units

Step-by-step explanation:

f(x) = x³  vs f(x-3)+2

f(x-3) will shift the graph horizontally to the right for 3 units

+2: will shift vertically up 2 units