Mathematics High School

Molly and Maddie are clothes shopping. Molly has $100.00 and a coupon for a $5.00 discount at a clothing store where each shirt costs $15.00. Molly thinks that she can buy 8 shirts, but Maddie says that Molly can buy 7 shirts. The equations they used to model the problem are listed below.

Solve each equation algebraically, justify your steps, and determine who is correct and why.

Molly's equation
15x + 10 = 100

Maddie's equation
15x - 10 = 100

Answers

Answer 1

Step-by-step explanation:

let us start with

Molly's equation

15x + 10 = 100

solving for x we have

15x=100-10

15x=90

x=90/15

x=6

Maddie's equation

15x - 10 = 100

solving for x we have

15x=100+10

15x=120

x=120/15

x=8

well, from the solution niether of them is correct

Related Questions

Can somebody help me !!

Answers

Answer:

My answer would be $76.49 around that change somewhere? I'm hoping that I was close to the right answer. Wish there were answer options I could go off of.

Step-by-step explanation:

Liam is constructing a square in which two of its vertices are points A and B. He has already used his straightedge and compass to construct the lines and arcs shown.

What should Liam do for his next step?

A. Place the point of the compass on point A and draw any arc above it.

B. Use the straightedge to draw a horizontal line that contains point E.

C. Use a straightedge to draw AE¯¯¯¯¯.

D. Place the point of the compass on point B and draw an arc that intersects BE¯¯¯¯¯, using AB as the width for the opening of the compass.

Answers

Answer:

Step-by-step explanation:

Answer:

The correct answer is D.

D) Place the point of the compass on point B and draw an arc that intersects BE¯¯¯¯¯, using AB as the width for the opening of the compass.

Step-by-step explanation:

You extend your compass the width of line AB and then place the compass point on point B, create an arc on point E.

Then, without adjusting the compass expansion, proceed to do the same on point A. Point of compass on point A, create arc above. Etc

I hope this helps!

PLEASE HELP!!!!! Match each equation with its slope

(I also have another question like his in my profile)

Answers

Answer: 1. E

2. B

3. C

4. F

5. D

6. A

Step-by-step explanation:

The figure shows a right triangle next to a square.
What is the total area of the shape they make?

Answers

Answer:

Step-by-step explanation:

By using the Formula:

Areatriangle=10*5/2=25

Areasquare=5*5=25

Total Area is: 25+25=50

It will be nice if you give me brainliest.Good luck!

Answer:

50cm²

Step-by-step explanation:

Square- length x breadth

=5cmx 5cm

=25cm²

Triangle- ¹/₂ x base x perpendicular height

= ¹/₂x 5cm x 10cm

=25cm²

Square- 25cm²

Triangle-+25cm²

total area- 50 cm²

I hope it helps

Thank U

Jules cut 2.75 inches from a metal rod. The metal rod is now 10.5 inches long. Which equation can be used to find the length of the metal rod before it was cut? Group of answer choices

Answers

L = 10.5 + 2.75

What are the answer choices?

Answer:

The solution for the equation 1,056=b+670

Step-by-step explanation:

Estimate the product. The cost of 6 hamburgers for $2.89 each.

Answers

Answer:

6 times 3= 18

So it will be about $18 if rounding to whole dollars or $17.40 if rounding to cents.

What is the length of the altitude of the equilateral triangle below?

A: 32
B: 8 : 3
C: 4
D: 4 : 3
E: 1
F: 8

Answers

Answer:

Step-by-step explanation:

AP3X

pog

The altitude of the triangle is 4√3 which is the correct option (D)

What is the right triangle?

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

In any equilateral triangle, the three angles are of equal measure and they equal 60 degrees.

When we drop a perpendicular that is the height of the triangle we have a 30 -60 90 triangle.

The hypotenuse = 8

Let, perpendicular = a and base = 4

According to Pythagoras theorem,

A right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

perpendicular²+base² = hypotenuse²

a² + (4)² = (8)²

a² + 16 = 64

a² = 64 - 16

a² = 48

a = √48

a = 4√3

Hence, the altitude of the triangle is 4√3

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Question: -3x – 10 = 32

Answers

Answer:

x = -14

Step-by-step explanation:

The first thing you are trying to do is get the x alone. so first you will look at 10 and do the opposite of the sign that you have. So you would take the -10 and make it +10. you would solve -10 + 10 and 32 + 10 because whatever you do to one side you do to the other. -10 +10= 0 and 32+10 = 42. Your equation now is -3x=42. we do not put -3x+0=42 because zero does not have a value. From here we would look at the -3x and do the opposite sign, which means dividing. whenever a number is next to x or any variable it is multiplication. For example, 7x is the same as 7*x. The opposite of multiplication is division. so we would do -3x/-3. We do 42/-3 because whatever we do to one side we do to the other. On the left side we are left with x then you add the equal sign and the quotient of 42/-3.

Answer: x = -14

create a word problem and solve for this equation: 1/2 ÷ 4

pls help I need it fast!!!

Answers

Answer: molly has 1/2 of her apples cut she need to give it to her 4 friends???

find the distance between a(-3,1) and b(-5,5)

Answers

Answer: 6.4236

Step-by-step explanation:

PLEASE HELP WILL GIVE BRAINLIST.
What is the slope of the line in the graph?

Answers

Answer:

x-1

Step-by-step explanation:

8. A line passes through the points (0-2) and (0,5). Is it possible to write an equation of the line in
slope-intercept form? Justify your answer.

Answers

Answer: No

Step-by-step explanation:

There is no slope

It is not possible to write the equation of the line passing through (0, -2) and (0, 5), because slope is not defined.

What is Slope?

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.

Given that a line passes through two points (0, -2) and (0, 5).

Both the points are on Y axis.

Therefore the line is along the Y axis.

Slope of a line along the Y axis is not defined since the Y axis is making 90° with the X axis and tan 90° is the slope, which is not defined.

Or in other words, taking the given points,

slope = change in y coordinates / change in x coordinates

= (5 - -2) / (0 - 0)

= 7 / 0, not defined.

Hence the equation of the line along the Y axis cannot be written in the slope intercept form as the slope is undefined.

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The formula t=√h/4 represents the time t in seconds that it takes an object to fall from a height of h feet. If a rock falls from a height of 125 feet, estimate how long it will take to reach the ground

Answers

Answer:

it would take 14mph

Step-by-step explanation:

A function assigns the values. The time it will take for the rock to reach the ground from a height of 125 feet is 2.795 seconds.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Given that the formula t=√h/4 represents the time t in seconds that it takes an object to fall from a height of h feet.

Now, in order to calculate the time, it will take for the rock to fall from the height of 125 feet, simply substitute the height of the rock from which it is dropped in the formula given.

Therefore, the time it will take for the rock to reach the ground from a height of 125 feet is,

t = √h / 4

t = (√125) / 4

t = (5√5) / 4

t = 2.795 seconds

Hence, the time it will take for the rock to reach the ground from a height of 125 feet is 2.795 seconds.

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80 inches of snow over 10 days what is the rate and unit rate

Answers

Answer:

The rate is 80 in. : 10 days

The unit rate is 8 in. : 1 day

Step-by-step explanation:

Divide 80 by 10, you get 8 which is the amount of snow you would get in 1 day.

The middle question. Any help would be nice

Answers

Answer:

"Nothing but net" won the game

Step-by-step explanation:

Answer:

they won

61 to 43

Step-by-step explanation:

do positive numbers have negative square roots?

Answers

Yes. They have two square roots. Both have the same absolute value but one is positive while the other is negative.

At the supermarket, you can fill your own honey bear container. A customer buys 12 oz of honey for $5.40.
How much does honey cost per ounce?
How much honey can you buy per dollar? Round to the nearest hundredth.

Answers

Answer: a. $0.45; b. 2.22 oz

Step-by-step explanation:

From the question, we are informed that acustomer buys 12 oz of honey for $5.40.

a. How much does honey cost per ounce?

To calculate this, we divide $5.40 by 12oz. This will be:

= $5.40/12

= $0.45

b. How much honey can you buy per dollar?

Since 1 ounce cost $0.45, the number of honey that can be bought for $1 will be:

= $1/$0.45

= 2.22 oz

Macy drove her car to visit her uncle. She came part of the way home after her visit. This graph shows the distance Macy was from her home during the course of the day. During which part of the graph is Macy visiting her uncle?

Answers

Answer:

part 11

Step-by-step explanation:

hope that help!

Need help with this problemm

Answers

Answer:

Step-by-step explanation:

It is because all angles in an equilateral triangle add up to 180 degrees meaning that they are all equal. You can know its an equilateral triangle from the small lines an the sides meaning they are equal.

helpp please i need your helppppp

Answers

Answer:

1/2 or .5

Step-by-step explanation:

If you type in ur calculated you get .5 all you have to do is -.8 times by -5/8

Answer:

0.5

Step-by-step explanation:

EMERGENCY! Please give me the correct answer!

Answers

Sorry luv I’m doing a test I need points

1/4

it would be 2^-2

what are the common factors of 20 and 30
A. 1,2,5,10
B. 1,2,10
C. 1,10
D. 1,5,10

Answers

Answer:

Step-by-step explanation:

Its D. Bruh

I drive at 55 miles per hour, and my trip will takr 5 hours. Proportional or non proportional

Answers

Answer:

Proportional

Step-by-step explanation:

Here, we want to know if the distance at the given time will be proportional

What we will do here is to simply divide the distance by the time

Mathematically, that will be 55 miles/ 5 hours = 11 miles / hour

So this means that in an hour, 11 miles will be traveled

This expression is proportional

find the equation of the line that passes through a and b

Answers

Answer:
y = 2x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = A(4, 7) and (x₂, y₂ ) = B(2, 3)
m = = = 2, thus
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation.
Using B(2, 3), then
3 = 4 + c ⇒ c = 3 - 4 = - 1
y = 2x - 1 ← equation of line

4x – x + 8 ≤ 35
What’s the answer

Answers

3x is less than or greater to 27 is what I got

Answer:

x ≤ 9

Step-by-step explanation:

4x – x + 8 ≤ 35

3x + 8 ≤ 35

3x ≤ 27

x ≤ 9

What would be the side length if you used 49 tiles to create a perfect
square?

Answers

Answer:

Step-by-step explanation:

7 x 7 = 49

Therefore, 7 7’s would equal up to 49.

What is the value of the point on the number line?
5/8
3/8
5/7
4/6

Answers

4/6 because the numbers in 6 sections and it’s on the fourth line

HELP MATH QUESTION!!

Answers

Answer:

The last answer is correct

Step-by-step explanation:

there is a 10 point slope in between 13 and 3

There were 28 boys on the boy's basketball team and 16 girls on the girl's basketball team last year. This year the number of boys decreased by 8% but the number of girls increased by 19%. Was there an increase or decrease in overall participation?

Answers

I’m pretty sure it decreased, apologies if I got this wrong

The sum of participants last year was 44 students, but this year was only 37.80 participants.

There is an increase in total participants.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

number of boys = 28

Number of girls = 16

Total participants = 28 + 16 = 44

Now, there is decrease in number of boys by 8%

= 28- 8% x 28

=28- 8/100 x 28

=28 - 0.08*28

=28 -2.24

= 25.76

and, there is 19% increase in number of girls

=16 + 0.19 x 16

=16 + 3.04

=19.04

So, total participants = 25.76 + 19.04

= 44.8

Hence, there is an increase in total participants.

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If Yafet raises $18 and Darnell raises $24, what fraction of Darnell’s goal did Yafet raise?

Answers

Answer:

4/3 or 1 1/3

Step-by-step explanation:

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