Henry and five friends are going to the movies. Tickets cost $8 each. Henry used this model to help him find the total cost of the tickets. Which shows one way to break apart the array to find the product?

Answer:

y=-2x+9

Step-by-step explanation:

1. Make m value opposite of og m value.

2. Then plug in variables x and y into the equation

3. Solve for b

-1 = -2(5) + b

9 = b

4. You have the answer

Please consider the complete question.

A student is deriving the quadratic formula. Her first two steps are shown. Step 1: [tex]-c = ax^2 + bx[/tex]

Step 2: [tex]-c = a[x^2+\frac{b}{a}x][/tex]

Which best explains or justifies Step 2?

A. division property of equality

B. factoring the binomial

C. completing the square

D. subtraction property of equality

We can see that in step 2 student has factored the right side of equation.

The student factored our a from the right side of equation. To factor our a from right side, student has divide the bx term by a.

We can multiply and divide by same quantity in an equation.

[tex]-c = ax^2+a\cdot \frac{b}{a}x[/tex]

Now we can factor out a as:

[tex]-c = a(x^2+\frac{b}{a}x)[/tex]

Therefore, the 2nd step is known as factoring of binomial and option B is the correct choice.

Answer:

it b factoring a binomial on

Step-by-step explanation:

thats on edge

Answer:

7110 books

Step-by-step explanation:

5%*15800=0.05*15800=790

790*11=8690

15800-8690=7110

Therefore, 7110 books

Answer: 86,900

Step-by-step explanation:

I changed the 5% into decimal form and made it 0.5. Next, I multiplied 0.5 by 11, which gave me 5.5.

15,800 x 5.5 = 86,900

So, the author would’ve sold 86,900 books in the first 11 months.

(Sorry if wrong. Yeah I think I’m wrong now because I’m not even in high school. Just ignore this lol)

Answer:

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

Step-by-step explanation:

Answer:

The shaded segment  = The arc area - The triangle

The arc area = pi x radius^2 x angle/360

                     = pi x 9^2 x (360-270)/360 = 63.61 (m2)

The triangle area = 9 x 9/2 = 41.5 (m2)

(because this is right triangle)

=> The shaded segment = 63.61 - 41.5 = 22.11 (m2)

Answer:

Step-by-step explanation:

If 2 men take 6 hrs to paint the fence, then

  3 men would  obviously take  less time to paint the same fence;

            2 men= 6 hrs

            3 men= ?

thus, the time taken by three men to paint the same fence=2/3 ×6 hrs

                                                                                                = 4 hrs

Answer:

Shota's speed = 5 m/s

In total, it take 6 seconds to reach the edge of the volcano.

Step-by-step explanation:

Given;

Total height below the edge of the volcano = 30 m

(Note that he climbed at constant rate)

After 4.5 seconds, he was 7.5 meters below the edge of the volcano.

Time = 4.5 s

Distance covered = 30 - 7.5 = 22.5 m

His speed = distance covered/time

Substituting the values;

Speed = 22.5/4.5

Speed = 5 m/s

Time needed to reach the edge;

Time = distance/speed

Speed = 5m/s

Distance = 30 m

Substituting;

Time = 30/5 = 6 seconds

Answer:

area - 120 cm

Step-by-step explanation:

Answer:

A = 120 cm^2

P = 54 cm

Step-by-step explanation:

Area of parallelogram: = base * height

A = 15 cm * 8 cm = 120 cm^2

Perimeter of parallelogram = sum of lengths of sides

P = 15 cm + 15 cm + 12 cm + 12 cm = 54 cm

Answer:Regina recieved $14 dollars of change

Step-by-step explanation:

12+14=26

40-26=14

The change received by Regina is $14.

A word problem is a verbal description of a problem situation. It consists of  few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Regina bought a book for price = $12

Regina bought a game for price = $14

Total amount paid by Regina = $40

The Regina should receive the change,

⇒ [tex]Change = 40-(12+14)[/tex]

⇒ [tex]Change = 40-26[/tex]

⇒ [tex]Change = 14[/tex]

Hence we can conclude that the change received by Regina is $14.

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Answer:

To be done in time, he would need to solve 6 questions per day on the days that he is not on trip

Step-by-step explanation:

If he solves the problems 5 per day, the total number of days that would be required to finish solving the problem would be 120/5 = 24 days

Now, he has 4 free days which would be for a family trip. The number of questions that he would miss during those trip days will be 4 * 5 = 20 questions

Now since he wants to still finish on time, what is needed to be done is to share the 20 left overs amongst the 20 days which he has to work

This makes a total of 1 question per day

Adding this to the 5 questions per day he has before will be = 6 questions per day

Answer:

6 problems

Step-by-step explanation:

Answer:

14/27

Step-by-step explanation:

Let x be the unknown number

-2/3 * x = -28/81

Multiply each side by -3/2

-3/2*-2/3 * x = -28/81 * -3/2

x = 28/2 * 3/81

x =14*1/27

x = 14/27

Answer:

14/27

Step-by-step explanation:

Let x be the other number

x × -2/3 = -28/81

x = -28/81 × -3/2

x = 14/27

Answer:

The explicit formula is Tn = 34 + 3n

Step-by-step explanation:

The nth term of an arithmetic sequence can be represented using the formula

Tn = a + (n-1)d

where a is the first term , n is the number of terms and d is the common difference

For the 12 term(a12), n = 12

70 = a + (12-1)d

70 = a + 11d •••••••(i)

For the 30th term, n = 30

124 = a + (30-1)d

124 = a + 29d •••••••(ii)

Now, directly subtract equation i from ii, we have;

124-70 = (a-a) + (29d-11d)

54 = 18d

d = 54/18

d = 3

To get a , we substitute the value of d in any of the equations

let’s use the first

70 = a + 11d

substituting d = 3

70 = a + 11(3)

70 = a + 33

a = 70-33

a = 37

Thus the explicit formula for the nth term will be

Tn = a + (n-1)d

where a = 37 and d = 3

Tn = 37 + (n-1)3

Tn = 37 + 3n -3

Tn = 34 + 3n

Answer:

Option "A" is the correct answer to the following question.

Step-by-step explanation:

Given:

Total number of experiment = 50

Find:

Probability to get less then 4:

Computation:

⇒ Total number can be get less then 4 = 4+2+3

⇒ Total number can be get less then 4 = 9

⇒ Probability of an outcome = Total number of outcomes /  Total number of experiment

⇒ Probability to get less then 4 = Total number can be get less then 4 / Total number of experiment

⇒ Probability to get less then 4 = 9 / 50

Answer:

44t + 11

Step-by-step explanation:

[tex]11(4t + 1) \\ = 11 \times 4t + 11 \times 1 \\ = 44t + 11 \\ [/tex]

Answer:

the answer is attached to the picture

Answer:

(x+2)(x+4)

Step-by-step explanation:

Answer:

( x + 2 ) ( x + 4 )

Step-by-step explanation:

Answer:

1/76

Step-by-step explanation:

Five marbles are red,

four are green,

ten are blue, and

one is white.

Sample space S= 5+4+10+1= 20

Probability of selecting a red Mable

Pr(red) = 5/20= 1/4

Probability of selecting a white Mable without replacement after the first selection

Pr(white) = 1/19= 1/19

the probability of selecting a red marble and then a white marble without replacement?

= 1/4*1/19= 1/76

Answer:

No it wont

Step-by-step explanation:

Answer:

157.48

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

The answer is D

I hope this is right

Answer:

65.97

Step-by-step explanation:

Answer:

Q4. 2144     Q5. -16     Q6.   Downwards     Q7.   0 seconds

Step-by-step explanation:

Q4.    h(t) = -16t² + 2400    Substitute 4 for t

h(4) = -16(4)² + 2400          Simplify the exponent

h(4) = -16(16) + 2400          Multiply

h(4) = -256 + 2400            Add

h(4) = 2144

Q5.   I graphed the equation on the graph below to find the instantaneous velocity. The instantaneous velocity is -16.

Q6.   At 4.5 seconds, the water rocket is traveling down because the highest point the rocket goes is at 2.8, so 4.5 is traveling downwards.

Q7.   0 seconds because the rocket goes 0 feet in 0 seconds.

If these answers are correct, please make me Brainliest!

Answer:

Step-by-step explanation:

Let amount now be x , meaning principal is x

and the amount later A is 2x

A = P(1+r/n)^nt

n = 12

2x = x (1 + 0.06/12)^12t

divide through by x

2 = (1+ 0.005)^12t

2 = (1.005)^12t

Take log of both sides

log 2 = 12t log 1.005

12t = log2/log 1.005

12t = 138.975721610697

t = 138.975721610697/12

t = 11.58

t = 12 years

Answer:

Step-by-step explanation:

hello : here is an solution

Answer:

Step-by-step explanation:

3^2 + 4^2 = 5 ^2

in right triangle. c is always the longest

Answer:

[tex]3^{2} +4^{2}+ 5^{2}[/tex]

Step-by-step explanation:

Answer:

Well, P(Monday)= 1/7 = 14.3%

P(starts with S)= 2/7 = 28.6%

P(Monday or starts with S)= 3/7 = 42.9%

Step-by-step explanation:

Have a good day!!!

The probability of choosing Monday is,

P = 1 / 7

And, the probability of choosing starts with S is,

P = 2/7

And, the probability of choosing Monday or starts with S is,

P = 3/7

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

A day of the week is randomly chosen.

Since, Number of days in a week = 7

Hence, the probability of choosing Monday is,

P = 1 / 7

And, the probability of choosing starts with S is,

P = 2/7

So, the probability of choosing Monday or starts with S is,

P = 2/7 + 1/7

P = 3/7

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Answer:

25,600

Step-by-step explanation:

You can use the rule of three considering that the number of dolls sold varies directly with the advertising budget:

$54,000    →   9,600

$144,000   →       x

[tex]x=\frac{144,000*9,600}{54,000}[/tex]

x=25,600

According to this, the number of dolls sold if the amount of advertising budget is increased to $144,000 is 25,600.

The number of dolls sold should be 25,600.

Given that,

Based on the above information, the calculation is as follows:

[tex]= \$144,000 \times 9,600 \div \$54,000[/tex]

= 25,600

Therefore we can conclude that The number of dolls sold should be 25,600.

Learn more: brainly.com/question/6201432

Answer:

32 cubic feet

Step-by-step explanation:

To know the volume of a figure we have to calculate the area of its "base" and then multiply it by its height.

In this case we have a rectangular hole that has an area of 8 square feet.

As we said before:

Volume = Area x height.

If we substitute the value of the area of the rectangle and the height (or depth in this case) we would get:

Volume = 8 x 4 = 32 cubic feet.

Thus, the volume of John's hole is 32 cubic feet.

Answer:

32 cubic feet

Step-by-step explanation:

The volume of a rectangular prism is given by;

Length*width*Height

or, Area*height

Height = 4 feet

Area= 8 square feet

Conversion to Cubic feet is given by;

(cubic feet) = (square feet) × (height in feet)

Therefore,

Cubic feet = 8 square feet*4 feet

= 32 cubic feet.