A store sold 38 books in 2 hours
At this rare, how many books will
it sell in 7 hours?

9514 1404 393

Answer:

  7 in

Step-by-step explanation:

For width w in inches, the length is given as 2w+1. The area is the product of length and width, so we have ...

  A = LW

  105 = (2w +1)w

  2w^2 +w -105 = 0

To factor this, we're looking for factors of -210 that have a difference of 1.

  -210 = -1(210) = -2(105) = -3(70) = -5(42) = -6(35) = -7(30) = -10(21) = -14(15)

So, the factorization is ...

  (2w +15)(w -7) = 0

Solutions are values of w that make the factors zero:

  w = -15/2, +7 . . . . . negative dimensions are irrelevant

The width of the rectangle is 7 inches.

Answer:

The point of intersection of the system of equations is:

(x, y) =  (-2, 1)

The correct system of equations intersect at point A in this graph will be:

[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]

Thus, the second option is correct.

Step-by-step explanation:

Given the point

Let us check the system of equations to determine whether it intersect at point A in this graph.

Given the system of equations

[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]

Arrange equation variable for elimination

[tex]\begin{bmatrix}y-4x=9\\ y+3x=-5\end{bmatrix}[/tex]

so

[tex]y+3x=-5[/tex]

[tex]-[/tex]

[tex]\underline{y-4x=9}[/tex]

[tex]7x=-14[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}y-4x=9\\ 7x=-14\end{bmatrix}[/tex]

Solve 7x = -14 for x

[tex]7x=-14[/tex]

Divide both sides by 7

[tex]\frac{7x}{7}=\frac{-14}{7}[/tex]

Simplify

[tex]x = -2[/tex]

For y - 4x = 9 plug in x = 2

[tex]y-4\left(-2\right)=9[/tex]

[tex]y+4\cdot \:2=9[/tex]

[tex]y+8=9[/tex]

Subtract 8 from both sides

[tex]y+8-8=9-8[/tex]

Simplify

y = 1

Thus, the solution to the system of equations is:

(x, y) = (-2, 1)

From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.

In other words, the point of intersection of the system of equations is:

(x, y) =  (-2, 1)

Therefore, the correct system of equations intersect at point A in this graph will be:

[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]

Thus, the second option is correct.

Answer:

4

Step-by-step explanation:

Answer:

A,B, and C

Step-by-step explanation:

25%of 24 is 6, 24-6=18(new price)

A.24-(0.25×24)=24-6=18

B.(0.75)×24=18

C.(0.25×24)×3= 6×3=18

Answer:

g(h(-8)) = 119

Step-by-step explanation:

Given

To determine

In order to determine g(h(-8)), we need to determine h(-8) first

substituting x = -8 in h(x)=x²-2

h(-8) = (-8)² - 2

h(-8) = 64 - 2

h(-8) = 62

so

g(h(-8)) = g(62)

now substituting x = 62 in g(x)=2x-5

g(62)=2(62)-5

g(62) = 124 - 5

g(62) = 119

so

g(h(-8)) = g(62) = 119

Therefore,

Answer:

-0.316

Step-by-step explanation:

2.63-0.87-2.076

=-0.316

Hope it helped!

Answer:

19/2 = 9.5.  This is the speed she can ride in a single hour.  At that speed, she would travel 9.5/3 miles in 1/3 of an hour.  9.5/3 = 3.1666666666666667

Step-by-step explanation:

Answer:

33 shirts

Step-by-step explanation:

100% of 20 = 20

65% of 20 = 13

total = 33

Answer:

no.2 no.5

Step-by-step explanation:

i don't know how to explain

have a good rest of your day

Answer:

question (1) c^2=a^2+b^2

Step-by-step explanation:

pythagoras theorem

Answer:

It is the y intercept

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The answer is B because the slope is [tex]\frac{4}{1}[/tex] and there is no y- intercept

Answer:

A.

Step-by-step explanation:

It starts from 32 on the y-axis and goes up 4 times on x-axis.

Answer:

Step-by-step explanation:

W = 1.5t + 10

slope = 1.5

Every month, the baby gains 1.5 pounds.

Answer:

The giraffe will be 2 inches

Step-by-step explanation:

If we know that if the scale is 1/2 inch to 5 feet we simply just have to divide the height of the giraffe by 5 feet and then multiply it by 1/2 inches. So we do...

20feet / 5 feet x 1/2 inches = 4 x 1/2inches = 2 inches

Answer:

1st Option is correct

Step-by-step explanation:

Just keep adding 150 to see the results

Answer:

Beaker: $3, Goggles: $7

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

8x8=64

Answer:

(2,7)

Step-by-step explanation:

When you reflect something across the X-axis, the y coordinate changes sign.

Answer: 471.238898359 Or when rounded, 471.2

Step-by-step explanation:

Answer:

y=2x is it I think because the y intercept is the origin

Answer:

22.5 more calories are burned

Hiking:

y=255

kayak

y=202.5

Answer:

x=44444444444444444444444444444444

Step-by-step explanation:

Answer:

.2

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Hope this helps and have a great day : )

Answer:

hiiioiofffffrrrrrtttttttt

Answer:

Linear

Step-by-step explanation:

Linear is a straight graph

Answer:

Linear

Step-by-step explanation:

The easiest way to recognize this from a graph is that its a straight line. If not then its non linear. If you aren't given a graph to go off of another way is to see if it has a constant rate of change, if it does its linear.

9514 1404 393

Answer:

  D.  3 to 4

Step-by-step explanation:

The ratio ...

  blueberries : strawberries = (1/2) : (2/3)

can be changed to a ratio of integer by multiplying by the least common denominator: 6.

  = 6(1/2) : 6(2/3) = 3 : 4

Fact: It is not 6!

And I swear I am not lying!

Answer:

A. 1/3

as x increases the values of the function all become one-third of each other !!

6 is 1/3 of 18

2 is 1/3 of 6

2/3 is 1/3 of 2

Answer:

56 (plums)

Step-by-step explanation:

There's 7 days a week, 14 in two weeks, so if Ken eats 4 plums each day, he will eat 14 times that in two weeks.

x = 4 × 14

x = 56

Answer:

56

Step-by-step explanation:

4 plums a day, with 7 days in a week. 4*7=28 plums a week. He eats 4 plums a day for two weeks, so we multiply 28 by 2. 28*2=56.