The price of a package of 4 pens is $8.00. The same pens are sold at $2.50 each. If Alex bought three packages of pens rather than buying 12 pens individually, the amount he saved on 12 pens is the percent of the amount he paid is

Answer:

$168

Step-by-step explanation:

1  dozen = 12

proportions

12 books ⇔ $144

14 books ⇔ $B

B = 144*14/12

B = $168

Using the surface area of a rectangular prism, it is found that she will need 366 square inches of wrapping paper to wrap the box.

He wraps the box with paper outside, hence, the amount needed is the surface area.

The surface area of a rectangular prism of length l, width w and height h is given by:

[tex]S = 2(lw + lh + wh)[/tex]

In this problem, the dimensions of 11 inches long, 8 inches wide, and 5 inches tall mean that [tex]l = 11, w = 8, h = 5[/tex]. Hence:

[tex]S = 2[11(8) + 11(5) + 8(5)] = 366[/tex]

She will need 366 square inches of wrapping paper to wrap the box.

You can learn more about the surface area of a rectangular prism at https://brainly.com/question/1310421

Answer:

Slope is -2x

Step-by-step explanation:

2x + y =5

2x-2x +y= 5 -2x

y= 5 -2x

so y= -2x+5

and the slope is -2x so the answer is -2x

Step-by-step explanation:

18.

the last one.

-4.9t² + 24.5t + 117.6 = 0

the ball starts at 117.6 meters height. then, during the first seconds the thrust upwards is adding height, until finally, with more and more seconds passing, gravity will win with a vengeance and pulls the ball down faster and faster than any other force in any other direction.

19.

the general solution for a quadratic equation

y = ax² + bx + c

is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = t

a = -4.9

b = 24.5

c = 117.6

t = (-24.5 ± sqrt(600.25 - -4×4.9×117.6))/-9.8 =

= (-24.5 ± sqrt(600.25 + 2304.96))/-9.8 =

= (-24.5 ± sqrt(2905.21))/-9.8 = (-24.5 ± 53.9)/-9.8

t1 = (-24.5 + 53.9)/-9.8 = -3

t2 = (-24.5 - 53.9)/-9.8 = 8

a negative time does not make any sense, so the real solution is : the ball reached the ground after 8 seconds.

20.

now the equation is

-4.9t² + 24.5t + 117.6 = 49

but this is quickly transformed again into a "= 0" equation :

-4.9t² + 24.5t + 68.6 = 0

t = (-24.5 ± sqrt(600.25 - -4×4.9×68.6))/-9.8 =

= (-24.5 ± sqrt(600.25 + 1344.56))/-9.8 =

= (-24.5 ± sqrt(1944.81))/-9.8 = (-24.5 ± 44.1)/-9.8

t1 = (-24.5 + 44.1)/-9.8 = -2

t2 = (-24.5 - 44.1)/-9.8 = 7

again, negative time does not make sense.

the ball will be at 49 m height after 7 seconds.

Answer: the first graph (A)

Step-by-step explanation: are you actually low IQ or intellect this is the most easiest question I have ever seen I just finished this topic in my honor math class like last month in a week. BTW I am in the 9th grade

Now I got to tutor you so here you can use the process of elimination which you can see that < without the line below it means that the line is dotted and is the only one with a y-intercept of +2 is A and D are the only ligament answer now you dumc as i can't curse due to that i will get reported, so anyways go up 2 and go 1 to the right because it is 2x which is 2/1x rise/run and it is positive which means D is wrong because it has a negative slope which the only answer for this is A now get your (can't say) together and study.

Answer:

Congress. would equal 80 due to x being worth 1/4 of y's total.

Answer: what number line

Step-by-step explanation:

21 Line is mapped onto line m by a dilation centered at the origin with a scale factor of 2. The equation of line is 3x − y = 4. Determine and state an.

Answer:

5

Step-by-step explanation:

2q

Answer:

solution given:

[tex]log_{10} n=q[/tex]

now

[tex]  Log_{10 }n^2=?[/tex]

by using property of logarithms

[tex]log_{a} n^p=p log_{a}n [/tex]

now

[tex]  Log_{10 }n^2=2 Log_{10 }n[/tex]

=2q

since [tex]log_{10} n=q[/tex]

Step-by-step explanation:

Answer:

is there a photo of a scatter plot?

Step-by-step explanation:

Answer:

x=50

Step-by-step explanation:

Let's solve your equation step-by-step.

√8x - 8 - 8 = 4

√8x - 16 = 4

Step 1: Add 16 to both sides.

√8x - 16 + 16 = 4 + 16

√8x = 20

Step 2: Solve Square Root.

√8x = 20

8x = 20^2 ( Square both sides )

8x = 400

8x/8 = 400/8 (Divide both sides by 8)

x = 50

HOPES THIS HELP :)

Answer:

x = 48

Step-by-step explanation:

Given a secant and a tangent from an external point to the circle, then

the product of the external part and the entire secant is equal to the square of the measure of the tangent , that is

2(2 + x) = 10² = 100 ( divide both sides by 2 )

2 + x = 50 ( subtract 2 from both sides )

x = 48

Answer:

55.38 min

Step-by-step explanation:

A car travels,

182 km ⇒ 4 hours

And we have to find the time that it takes to travel 42 km .

Lets make a equation.

Let the unknown time be x

182 km ⇒ 4 hours

42 km ⇒ x

To make easy let's km in to meters and hours in to minutes

182000 m ⇒ 240 min

42000m ⇒ x

Now use cross multiplication.

[tex]182000x=240*42000\\[/tex]

[tex]182000x=10080000[/tex]

[tex]\frac{182000x}{182000} =\frac{1008000}{182000}[/tex]

[tex]x =55.38min[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

96 Servings

Step-by-step explanation:

Divide the total 72 cups by the serving, 0.75 cup, which equals 96 servings

Answer:

96 servings

Step-by-step explanation:

Divide the total amount, 72 cups, by each serving, .75 cups, to get the amount of servings, 96.

[tex]\frac{72}{0.75} = 96[/tex]

Answer:

Johnathan started out with 17 videogames

25-8=17

Answer:

Step-by-step explanation:

the sum of the interior angles of a triangle is 180°

180 - 70 = 110

110 = 12x + 2 + 15x

108 = 27x

108 : 27 = 4°

4 * 15 = 60° is your answer

check

15 * 4 + 12 * 4 + 2 + 70 = 180

60 + 48 + 72 = 180

the answer is good

Answer: If it was the other way around I would have helped you  

Step-by-step explanation:

e.g.    

Answer:

People who bought tickets = 100%

                                             = 8000

People who bought their tickets in person = (100%-60%-15%) × 8000

                                                                       = 2000

The number of tickets sold online is 4800, by phone is 1200, and in person is 2000.

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that there were 8000 people at the festival. people bought their tickets online, by phone, or in person. based on a random sample of people at the festival, 60% bought their tickets online, and 15% bought their tickets by phone.

The number of the tickets will be calculated as below:-

Total tickets = 8000

Online tickets = 60% of 8000 = 8000 x 0.6 = 4800

By phone = 15% of 8000 = 8000 x 0.15 = 1200

In-person = 25% x 8000 = 0.25 x 89000 = 2000

Therefore, the number of tickets sold online is 4800, by phone is 1200, and in person is 2000.

To know more about percentages follow

https://brainly.com/question/24304697

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Answer:

x=-2  and y=5

x=-1 and y=4

Step-by-step explanation:

hope tha work

Answer:

1 and 4

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Hope this helped

Answer:

x = 14[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Since the triangle is 45- 45- 90 then it is isosceles with the 2 legs being congruent, both 14

Using Pythagoras' identity in the right triangle

x² = 14² + 14² = 196 + 196 = 392 ( take square root of both sides )

x = [tex]\sqrt{392}[/tex] = [tex]\sqrt{196(2)}[/tex] = [tex]\sqrt{196}[/tex] × [tex]\sqrt{2}[/tex] = 14[tex]\sqrt{2}[/tex]

Answer

Well I’d distribute first

So if simplified you’d get

6x-9x+12=13

-3x+12=13

-3x=1

x= 1/-3

X is - 1/3

Answer:

a) 72cm²

b) 9 cm²

c) 9 cm²

d) 54 cm²

Step-by-step explanation:

a) The area A of a rectangle is given by the formula, A=lw

12 * 6 = 72cm²

b) To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2.

(6 * 3) : 2 = 9 cm²

c) To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2.

(6 * 3) : 2 = 9 cm²

d) To find the area of the parallelogram, multiply the base of the perpendicular by its height.

(12 - 3) * 6 = 54 cm²

Answer:

A: Opposite

B: Same

Step-by-step explanation:

I'm not really sure, please tell me if I'm incorrect

Answer:

Because of the definition of congruent

Step-by-step explanation:

This problem may sound tricky, but it's not actually that hard. We now congruent means two things are the same, so for this problem, think of it as an equal sign. (Congruent doesn't mean equal, as an equal sign denotes the relationship that two things are the same if we know the concrete value of it.) So if AB=CD, CD=AB as you can swap two sides of an equation around and get the same answer. It's like saying 2=x ∴ x=2 (The dots mean therefore in math.)

Please consider a brainliest! Thank you!

Answer:

f^-1(x) = (x+20) / 12

Step-by-step explanation:

f(x) = 4(3x-5)

Let y be the image of f.

y = 4(3x-5)

y = 12x-20

y+20 = 12x

x = (y+20) / 12

f^-1(y) = (y+20) / 12, so

f^-1(x) = (x+20) / 12