Sarah bought 18 boxes of 65 pens at $12 a box. She sold 378 of them at 3 for $1.00 and the rest at 4 for $1.00. Find her total profit.

Answer:

(180-102)/2 = 39° each (remaining 2)

Answer:

197in^2

Step-by-step explanation:

5x5=25(top face)

5x5=25(left face)

9x5=45(bottom face)

6.4x5=26(right face)

Front and behind face: trapezoid area (trapezoid formula h x (a+b)/2)

(5+9)/2 x 5=7x5=35

35+35+25+25+45+25=197in^2

Answer: x=7

Step-by-step explanation: First, remove 3 from both sides by dividing. You will end up getting 9. Since 2x-5 = 9, add 5 from both sides by adding leaving you with 2x = 14. Divide 14 by 2 to get 7.

Answers:

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Explanations:

Answer:

Infinitely many solutions

Step-by-step explanation:

3x+y=1

15x+5y=5

Step: Solve3x+y=1 for y:

3x + y +−3 x = 1 + −3x (Add -3x to both sides)

y=−3x+1

Step: Substitute−3x+1 for y in 15x+5y=5:

15x+5y=5

15x+5(−3x+1)=5

5=5(Simplify both sides of the equation)

5+−5=5+−5(Add -5 to both sides)

0=0

so there are infinite solutions  

Answer:

22√3 units squared

Step-by-step explanation:

1) Draw the trapezoid

2) Notice you have to find the height to find the area of the trapezoid

3) Notice it is a 30 60 90 triangle when you draw the line to find the height

4) Solve for the 30 60 90 triangle and you get the height to be 2√3

5) Solve for the area of the trapezoid using this formula A= 1/2 h ( b1 + b2)

6) Fill in the numbers for the equation A= 1/2∙ 2√3 ( 10 + 12)

7) Keep aside the 1/2 for now

8) Simplify equation 2√3 + 22 or 2√3 + (10 + 12)

9) Simplify further 44√3

10) Now bring back the 1/2 and put it in the equation 1/2∙ 44√3

11) Simplify to get 22√3

12) 22√3 is the area of the trapezoid

13) 22√3 units squared is the final answer

I will put a my drawing of the trapezoid for reference and this is what I used to solve the question.

If you want to know how I solved the 30 60 90 triangle please let me know.

Sorry I was one week late I just saw it today.

:D

Answer:

All you have to do is mark the 1 on the y-intercept and then use the rise over run for the slope. from the 1 on the y-axis, you would go up 6 and to the right 5.

Answer:

total cost = $130 + $35n

Step-by-step explanation:

Cost incurred on the first day.

Fixed cost = $40. this amount is fixed because it does not depend on the number of students that take the trip

variable cost = $19n. It is variable because it depends on the number of students that take the trip. the more the club members that take the trip, the higher the cost

Total cost on the first day = $40 + $19n

Cost incurred on the second day

Fixed cost = $90. this amount is fixed because it does not depend on the number of students that take the trip

variable cost = $16n. It is variable because it depends on the number of students that take the trip. the more the club members that take the trip, the higher the cost

Total cost on the second day = $90 + $16n

Total cost incurred would be the sum of the two costs incurred on the two days

total cost = $40 + $19n + $90 + $16n

= $130 + $35n

Answer: 75 percent

Step-by-step explanation: I'm pretty sure

Answer:

The answer is B

Step-by-step explanation:

Answer:

1.05

Step-by-step explanation:

Answer:

u;t5g3ji/lfvjk.dvnjfvjk.f

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

the answer is 2 ..........

Answer:

d

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

Hey There!

So if DE is the midsegment then to find x you divide the length of AE by 2

8/2=4

Therefore x=4

Answer:

1 7/8 or 1.875 cups

Step-by-step explanation:

This can be solved by adding the 3 fractions together

[tex]\frac{5}{8} + \frac{5}{8} + \frac{5}{8}[/tex]

[tex]\frac{5 + 5 + 5}{8}[/tex]

[tex]\frac{15}{8}[/tex] = [tex]1\frac{7}{8}[/tex]

Since the 3 cups added are the same size, this can also be solved by multiplication

5/8 x 3 = 1.875 cups = 1 7/8 cups

Answer:

whats your question...?

Step-by-step explanation:

Answer:

26 divided by 4= $6.50

Step-by-step explanation:

20+6=26

26 divided by 4 friends = they each paid $6.50

Answer:

(20 + 6) / 4 or 26 / 4 which equals $6.50

Step-by-step explanation:

Since their are 4 people you would divide the total cost by 4.

Answer:

Step-by-step explanation:

i can barely see that maybe re upload a better picture and someone will help

Answer:

90

Step-by-step explanation:

120 - (120/4)

120 - 30 = 90

Answer:

311

Step-by-step explanation:

11x13=143

14x12=168

143+168=311

Answer:

5d-10 =0

Step-by-step explanation:

Answer: 5d - 10 = C

-tay

HOPE THIS HELPS...

Hooke's law is a law of physics that states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with respect to that distance—that is, Fs = kx, where k is a constant factor characteristic of the spring (i.e., its stiffness), and x is small compared to the total possible deformation of the spring. The law is named after 17th-century British physicist Robert Hooke. He first stated the law in 1676 as a Latin anagram.[1][2] He published the solution of his anagram in 1678[3] as: ut tensio, sic vis ("as the extension, so the force" or "the extension is proportional to the force"). Hooke states in the 1678 work that he was aware of the law since 1660.

Hooke's equation holds (to some extent) in many other situations where an elastic body is deformed, such as wind blowing on a tall building, and a musician plucking a string of a guitar. An elastic body or material for which this equation can be assumed is said to be linear-elastic or Hookean.

Hooke's law is only a first-order linear approximation to the real response of springs and other elastic bodies to applied forces. It must eventually fail once the forces exceed some limit, since no material can be compressed beyond a certain minimum size, or stretched beyond a maximum size, without some permanent deformation or change of state. Many materials will noticeably deviate from Hooke's law well before those elastic limits are reached.

On the other hand, Hooke's law is an accurate approximation for most solid bodies, as long as the forces and deformations are small enough. For this reason, Hooke's law is extensively used in all branches of science and engineering, and is the foundation of many disciplines such as seismology, molecular mechanics and acoustics. It is also the fundamental principle behind the spring scale, the manometer, and the balance wheel of the mechanical clock.

The modern theory of elasticity generalizes Hooke's law to say that the strain (deformation) of an elastic object or material is proportional to the stress applied to it. However, since general stresses and strains may have multiple independent components, the "proportionality factor" may no longer be just a single real number, but rather a linear map (a tensor) that can be represented by a matrix of real numbers.

In this general form, Hooke's law makes it possible to deduce the relation between strain and stress for complex objects in terms of intrinsic properties of the materials it is made of. For example, one can deduce that a homogeneous rod with uniform cross section will behave like a simple spring when stretched, with a stiffness k directly proportional to its cross-section area and inversely proportional to its length.

Step-by-step explanation:

2x + 15° + x = 180° { Being co-interior angles }

3x = 180°- 15°

3x = 165°

x = 165° / 3

x = 55°

2x + 15° = 2 *55° + 15° = 125°

Hope it will help :)❤

Answer:

a.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer: Felicity

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I hope this helps, and enjoy the rest of your day!

Answer:

We want to find the point where these two lines intersect:

Equation for Charles: y=0.25x

Equation for Wilma: y=0.05x+20

0.25x=0.05x+20

0.2x=20

x=100

So, Charles must use 100 gigabytes of data to equal Wilma's internet bill.

Let me know if this helps!

The number of gigabytes of data that must be used for Charles' internet bill to equal Wilma's internet bill is; 100 gigabytes

Let the amount of gigabyte of data be x.

Since Charles pays $0.25 per gigabyte of data, then the equation for Charles is; y = 0.25x

Wilma pays a flat fee of $20 and $0.05 per gigabyte and as such the equation for Wilma is; y = 0.05x + 20

For Charles' internet bill to equal Wilma's internet bill, Thus;

0.25x = 0.05x + 20

0.2x = 20

x = 20/0.2

x = 100

Thus, Charles must use 100 gigabytes of data to equal Wilma's internet bill.

Read more about equation intercepts at; https://brainly.com/question/26249361

Step-by-step explanation:

×=100

1. Divded 35 by 14 and u get 0.4

2

Divided 40 by 0.4 and u get 100

Answer:

16

Step-by-step explanation:

You could solve it two ways:

Cross multiply:

x times 35 = 35x

40 times 14 = 560

35x divided by 35 = x

560 divided by 35 = 16

x = 16

Or:

35 divided by 14 = 2.5

40 divided by 2.5 = 16

x = 16

Answer:

40 cm

Step-by-step explanation:

divide the length value by 10

400 / 10 = 40

Answer:

400 mm = 40 cm

Step-by-step explanation: