Christina is packing different books into boxes. The paperback books weigh 0.8 pounds each. The hardcover books weigh 1.3 pounds each. Christina needs to pack the boxes so that there are at least 20 books in each box, but the boxes cannot weigh more than 30 pounds.

Identify Christina’s set of constraints.

Answer:

6x - 7 = 6(x + 4)

Step-by-step explanation:

The value of the number (n) is -7.

Let a number we want to find be n.

Hence, according to the given condition, the equation will be:

⇒ 6n - 7 = -49

⇒ 6n = -42

Dividing both sides by 6, we get:

⇒ n = -7

Therefore, the number that satisfy the algebraic expression is n = -7.

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Answer:

x = 1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−2(2x−4)=4x

(−2)(2x)+(−2)(−4)=4x(Distribute)

−4x+8=4x

Step 2: Subtract 4x from both sides.

−4x+8−4x=4x−4x

−8x+8=0

Step 3: Subtract 8 from both sides.

−8x+8−8=0−8

−8x=−8

Step 4: Divide both sides by -8.

Answer:

120 seconds/2 minutes

Step-by-step explanation:

divide the distance (270 m) by the rate (2.25 m/s) and you have 270/2.25 = 120 seconds, or 2 minutes.

It will take Ari 120 seconds to jog 270 meters.

To find the time it will take Ari to jog 270 meters at an average rate of 2.25 meters per second, we can use the formula:

Time = Distance / Rate

where:

Distance = 270 meters

Rate = 2.25 meters per second

Time = 270 meters / 2.25 meters per second

Time = 120 seconds

Therefore, it will take Ari 120 seconds to jog 270 meters.

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Answer:

-12

Step-by-step explanation:

(f·g)(-4) = f(g(-4))

g(-4) = 3(-4)+6

g(-4) = -12 + 6

g(-4) = -6

f(g(-4)) = f(-6) = 3(-6) +6

f(g(-4)) = -18 + 6

f(g(-4)) = -12

Answer:

x = 6

Step-by-step explanation:

Given

- 5.2x + 57.9 = 15.9 + 1.8x ( subtract 1.8x from both sides )

- 7x + 57.9 = 15.9 ( subtract 57.9 from both sides )

- 7x = - 42 ( divide both sides by - 7 )

x = 6

Answer:

2.5y, y = -5.2

2.5(-5.2) = -13

2x² + y, x = -2, y = 5

2(-2)² + (5)

2(4) + 5

8 + 5 = 13

a(b), a = 2/3, b = 9/14

(2/3)(9/14)

cross simplify

(1/1)(3/7) = 3/7

Answer:

≠

Step-by-step explanation:

4[6(2+3)] _____ 125 - 5 * 1

4[6(5)] _____ 125 - 5 * 1

4[30] _____ 125 - 5 * 1

120 _____ 125 - 5 * 1

120 _____ 125 - 6

120 _____ 119

120 ≠ 119

Answer:

119.9

Step-by-step explanation:

Answer:

6 cups of flour

Step-by-step explanation:

we know that

the ratio of the recipe=(1 1/2)/(3/4)

1 1/2=1.5 cups of flour

3/4 stick of butter-------> 0.75 stick of butter

by proportion

1.5/0.75=x/3---------> 3*1.5=0.75*x

x=3*1.5/0.75----------> x=6 cups of flour

The value of f(g(x)) is,  [tex]f(g(x))=3x^{2} -24x+50[/tex]

The given function are,

             [tex]f(x)=3x^{2} +6x+5\\\\g(x)=-x+3[/tex]

We have to find [tex]f(g(x))[/tex].

             [tex]f(g(x))=f(-x+3)=3(-x+3)^{2}+6(-x+3)+5\\ \\f(g(x))=3(x^{2} +9-6x)-6x+18+5\\\\f(g(x))=3x^{2} +27-18x-6x+23\\\\f(g(x))=3x^{2} -24x+50[/tex]

Thus, the value of [tex]f(g(x))=3x^{2} -24x+50[/tex]

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Answer:

p = 332

Step-by-step explanation:

Answer:

The correct answer is A. The base of the rectangular prism must be 12 units because the height is 2 units, and 2 multiplied by 12 is 24, which is the total volume of the prism.

Answer:

120 ways

Step-by-step explanation:

In the scenario described, there are 120 ways that 5 people can sit around a round table.

Answer:

33.32 m squared

Step-by-step explanation:

34 divided by 20 equal 1.7

19.6 times 1.7 equal 33.32

hope this helps you;)

pls Mark brainlest :)

Answer:

2 miles

Step-by-step explanation:

Add the total distance for biking

4 1/4+5 1/2= 9 3/4

Now add the total distance for running

3 1/2+4 1/4 = 7 3/4

Now subtract

9 3/4 - 7 3/4 = 2

2 miles

Hope this helps!

Answer:

12x+10

Step-by-step explanation:

Add up the lengths of all sides to find the perimeter

P = x + 2( x+5) + 6(x-1) + 3(x+2)

Distribute

  = x + 2x+10 +6x-6 + 3x+6

Combine like terms

 =x+ 2x+ 6x+3x    + 10 -6+6

 = 12x+10

Divide both sides by 9/5

9/5 F = N - 67

Add 67 to both sides

9/5 F + 67 = N

Hope this helped

you're correct. its to take out the greatest common factor.

Answer:

X= 4

Step-by-step explanation:

Answer:

y intercepts= 0       x intercepts= none

nation:

The 2 funtions above the x axis do not intercept with the y-axis or the x-axis. They just hover above it, but never atcually touch it.

The function bellow the x-axis only intercepts the y-axis at 0,0

The x and y intercepts of the graph of the function are x=none and y=-1 respectively.

From the given figure we need to find the x and y intercepts of the function.

The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.

From the graph, we can see two curves running on x-axis.

The curve crosses the y-axis at y=-1.

Therefore, the x and y intercepts of the graph of the function are x=none and y=-1 respectively.

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Answer:

  x = 7

Step-by-step explanation:

We can't tell the order of angles here, so we'll assume that ...

  m∠TUV = m∠TUW +m∠WUV

  (9x+1) = (7x-9) +(5x-11)

  9x +1 = 12x -20

  21 = 3x

  7 = x

Answer:

D = [tex]5\sqrt{5}[/tex]

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(-7-(-2))^2+(-7-3)^2} \\d= \sqrt{(-5)^2+(-10)^2} \\d= \sqrt{25+100} \\d= \sqrt{125} \\d= 5\sqrt{5}[/tex]

Answer:

2x² +x + 3

Step-by-step explanation:

3x²-2x+4x-x²+3-x

Like terms:

3x² - x² = 2x²

-2x + 4x -x =x

3

2x² + x + 3

Step-by-step explanation:

-12 = 5x

5x = -12

x = -12/5

x = -2.4

Answer:

Step-by-step explanation:

x^2 + 7 = 23

x^2 = 16

√x² = √16

x = 4

Answer:

Let the truck is driven X miles per day

Charges of company A will be = 90+0.4X

Charges of company B will be =30+0.7X

Let us find out value of X when charges of both companies are same

which means that   90+0.4 X= 30+0.7X

                            90-30      = 0.7X-0.4X

                            60    = 0.3X

                             60/0.3 = X

                             X= 200

The charges of both companies will be same if truck is driven 200 miles per day

Company A will have better deal if truck is driven more than 200 miles per day ( because per mile rate of company A is less than company B)

Step-by-step explanation:

Answer:

if you're trying to make it with one of each kind in each booklet the answer is 24

Answer :

[tex]d = \sqrt{26} [/tex]