im sorry im too lazy to do this so please help :,)

Directions: Use the skills you have learned in the previous lessons to create and solve equations on your own.

Introduction

In everyday real-life situations where there is an unknown quantity, using equations can help solve problems. For example, calculating income over time, mileage rates, and predicting costs of multiple items. Finding the value of an unknown is a valuable skill.

Review

Directions: Create and solve 10 equations of your own

Answers

Answer 1

Step-by-step explanation:

The cost of a shirt is $20. If I buy x number of shirts, what will be the total cost?

Equation: Total cost = 20x

The sum of two consecutive odd numbers is 56. What are the numbers?

Equation: x + (x+2) = 56

Solution: x = 27, 29

The perimeter of a square is 32 cm. What is the length of each side of the square?

Equation: 4x = 32

Solution: x = 8

The product of two numbers is 48, and their sum is 16. What are the two numbers?

Equation: xy = 48, x+y = 16

Solution: x = 8, y = 6

The cost of a dozen eggs is $1.50. What is the cost of one egg?

Equation: 12x = 1.5

Solution: x = 0.125

The ratio of the length to the width of a rectangle is 3:4. If the perimeter of the rectangle is 70 cm, what are the dimensions of the rectangle?

Equation: 2(3x) + 2(4x) = 70

Solution: length = 15 cm, width = 12 cm

The sum of two numbers is 45. If one number is twice the other, what are the two numbers?

Equation: x + 2x = 45

Solution: x = 15, y = 30

The length of a rectangle is three times its width. If the area of the rectangle is 180 sq units, what are the dimensions of the rectangle?

Equation: 3x*x = 180

Solution: length = 15 units, width = 5 units

The speed of a boat in still water is 10 km/h. If the speed of the current is 3 km/h, how long will it take the boat to travel 36 km downstream?

Equation: (10+3)x = 36

Solution: x = 3 hours

The ratio of the number of boys to the number of girls in a class is 3:5. If there are 48 students in the class, how many boys and girls are there?

Equation: 3x + 5x = 48

Solution: boys = 12, girls = 20


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Related Questions

15 points to whoever gets this right asap please :)

Answers

Answer:

=8/13

Step-by-step explanation:

There are a total of 2+6+8+10  = 26 students

There are 6+10 = 16 students that do not have a brother

P( not have a brother) = number that do not have a brother / total

                                     =16/26

                                      =8/13

The answer would be 16/26 or 8/13

A makeup artist purchased some lipsticks and wants to wrap them individually with gift wrap. Each lipstick has a radius of 0.6 inch and a height of 2.4 inches. How many total square inches of gift wrap will the makeup artist need to wrap 3 lipsticks? Leave the answer in terms of π.

9.04π square inches
10.8π square inches
11.3π square inches
14.4π square inches

Answers

So using a surface area calculator, we can put in the measurements you gave me.

That will give us 3.6 pi

Now we will need to multiply by 3

3.6 times 3 is 10.8pi

So your answer would be B. 10.8

96 - x = 64
ninety minus ? equals sixty four

Answers

Hello!

96 - x = 64

96 - x + x = 64 + x

96 = 64 + x

96 - 64 = 64 + x - 64

x = 32

ninety six minus ? equals sixty four

? = 96 - 64 = 32

Answer: x = 32

Step-by-step explanation: By using inverse operations, you may separate the variable x from the other variables in equation 96 - x = 64. Let's tackle it piece by piece:

Let's begin with the formula 96 - x = 64.

We must get rid of the 96 on the left side of the equation in order to focus on the variable x. 96 can be taken out of both sides of the equation to accomplish this: (96 - x) - 96 = 64 - 96.

To put it simply, -x = -32.

We want to remove the minus sign from the front of x so that we can solve for x. By multiplying both sides of the equation by -1, we can do this:

(-1)(-x) = (-1)(-32).

So, if we simplify, we get x = 32.

As a result, x = 32 is the answer to the equation 96 - x = 64.

A bakery is making cupcakes using a cylindrical mold. The cupcake mold has a diameter of 4.5 centimeters and is 3 centimeters tall. Which of the following shows a correct method to calculate the amount of cupcake batter needed to fill the mold all the way to the top? Use 3.14 for π.

V = (3.14)(4.5)2(3)
V = (3.14)(2.25)2(3)
V = (3.14)(3)2(4.5)
V = (3.14)(3)2(2.25)

Answers

V = (3.14)(2.25)2(3)
Second one because look at the number and simplify it

Raul is investigating the prices of boxes of cereal at his local grocery store. He collected the cereal prices shown below. All the values are in dollars.


Create a fully labeled line plot to represent Raul’s data

Answers

Answer:

Step-by-step explanation:

there are 18 units

1 x 3.00     3 x 3.50   4 x 4.00   3 x 4.50                                                            2 x 5.00   3 x 5.50   1 x 6.00   1x 6.50

Line plot x (unit total cereal )  0-1    1-4    4-9   9-12    12-14     14-17     17-18   18-19

so needs to be numbered to 20

Line Plot y  (Unit Price $ )  0 -3    0 - 3.5    0-4     0-4.5   0-5   0-5.5    0-6    0-6.5            

so needs to be numbered to 7

QUICK I NEED HELP!!!!

Answers

Answer: 13%

Step-by-step explanation:

Find the mean average of all the fractions, such as 9/60, and 5/30. You add all of them up and divide it by 5. You should get something like 12.44%, which is closest to 13%.

The "fractions" as in 9/60, 5/30, 5/45, 2/25, and 4/35.

help lol I'll give you 65 points if u answer this correctly !!

A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is red.

spinner divided evenly into eight sections numbered 1 through 8 with three colored blue, one red, two purple, and two yellow

Determine the theoretical probability of the spinner landing on yellow, P(yellow).

0.125
0.25
0.625
0.75

Answers

The spinner has a total of 8 sections, out of which 2 sections are yellow. Therefore, the theoretical probability of the spinner landing on yellow is:

P(yellow) = Number of favorable outcomes / Total number of outcomes

= 2/8

= 1/4

= 0.25

Therefore, the answer is option B: 0.25.

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Because I have nothing better to do and you need help! I’m here!

There are a total of 8 equally likely possible outcomes when the spinner is spun. Out of these, there are 2 sections that are yellow. Therefore, the probability of the spinner landing on yellow is:

P(yellow) = number of ways to get yellow / total number of possible outcomes
P(yellow) = 2/8

Simplifying this fraction, we get:

P(yellow) = 1/4

So the theoretical probability of the spinner landing on yellow is 1/4 or 0.25. Therefore, the correct answer is option B: 0.25.


I hope this helps!

After 1 year, $50,000 deposited in a savings account with simple interest had earned $2,500 in interest. What was the interest rate?

pls explain how as well if you don't mind

Answers

Answer:

5%

Step-by-step explanation:

The formula for calculating simple interest is:

Interest = Principal × Rate × Time

Where:

Interest is the amount of money earned as interest

Principal is the initial amount of money deposited

Rate is the interest rate (expressed as a decimal)

Time is the duration for which the money is invested or the time period over which interest is calculated

In this scenario, the principal amount is $50,000, and the interest earned is $2,500. The time period is given as 1 year.

We can rearrange the formula to solve for the rate:

Rate = Interest / (Principal × Time)

Plugging in the given values:

Rate = $2,500 / ($50,000 × 1)

The calculation simplifies to:

Rate = $2,500 / $50,000

Dividing $2,500 by $50,000 gives us the decimal value of the interest rate:

Rate = 0.05

To express the interest rate as a percentage, we multiply the decimal value by 100:

Rate = 0.05 × 100

Rate = 5%

Therefore, the interest rate for the savings account is 5%.

Answer:

Interest Rate = 5%

Step-by-step explanation:

Principal = $50, 000

Rate = ?

Time = 1 yr

S.I = PRT/100

2,500/1 = 50,000 × R × 1/100

50,000R = 2,500 × 100

50,000R = 250,000

50,000R/50,000 = 250,000/50,000

R = 5 %

Help, please... Thank you

Answers

Answer:

She needs 9 bags (8.75 specifically) to fill the space around the photo box.

Step-by-step explanation:

Volume of rectangular box = length x width x height = 12.5 in x 4.2 in x 12.5 in = 656.25 cubic inches

Subtracting the volume of the photo box from the volume of the rectangular box, we get:

The volume of packing material = Volume of the rectangular box - Volume of the photo box

Volume of packing material = 656.25 cubic inches - 0 cubic inches = 656.25 cubic inches

Therefore, the number of bags needed is:

Number of bags = Volume of packing material / Volume of one bag

Number of bags = 656.25 cubic inches / 75 cubic inches per bag = 8.75 bags

Rounding up to the nearest whole number, Sasha needs to buy 9 bags of packing material to fill the space around the photo box.

Answer:8

Step-by-step explanation:

Write the prime factorization of 60. Use exponents when appropriate and order the factors from least to greatest

Answers

Answer:

2^2 x 3 x 5

Step-by-step explanation:

60 breaks down to 6 x 10.  6 can be divided down to 2 x 3. 10 can be broken down to 2 x 5.  2 x 3 x 2 x 5 should equal 60 then the numbers that show up twice match together and an exponent is added 2 x 2  becomes 2^2.

The prime factorization of 60. Using exponents when appropriate and order the factors from least to greatest is: [tex]\sf 2^2\times3\times5[/tex].

Exponent

Given:

Prime factorization = 60

Hence:

Now let find or determine the prime factorization of 60 by making use of the exponents appropriately or correctly:

[tex]\sf 2^2\times3\times5[/tex]

[tex]\sf 2^2\times15[/tex]

Or

[tex]\sf 2^2\times3\times5[/tex]

[tex]\sf 2^2\times15[/tex]

Based on the above calculation it implies that 2 raise to power of 2 times 15 will gives us 60. The raise to power of 2 is the exponent.

Therefore the prime factorization of 60. Using exponents when appropriate and order the factors from least to greatest is: [tex]\sf 2^2\times3\times5[/tex].

Learn more about exponent here: brainly.com/question/11975096

istg some 1 help
A label is placed around a soup can during manufacturing. If the label is represented by the rectangle in the figure, how many square inches is the label? Answer in terms of π.
image of a net drawing of a cylinder is shown as two circles each with a radius labeled 4 inches and a rectangle with a height labeled 7.8 inches

94.4π square inches
32π square inches
30.1π square inches
62.4π square inches

Answers

Answer:

Step-by-step explanation:

c

[NEEDED ASAP] OPTIONS SHOWN IN IMAGE
Georgia Connections Academy is selling tickets to its Spring Fling. Adult tickets cost $4 and student tickets cost $2.50. The school makes $2,820. Write an equation that represents this situation to find the cost of all adult and student tickets sold. Use the variable s for student tickets and a for adult tickets sold.

Answers

Answer:

Step-by-step explanation:

We use a for Adult and s for Student.

Assuming this, you have to start by writing two equations from the information provided:

900 total tickets were sold    

       a+s=900                             ------(i)

they made $2,820 and  adult tickets cost $4 and kids tickets cost $2.50

      2820=4a+2.5s                    ------(ii)

lets solve for a in the first equation:

a=900-s                      

we can plug this into the second equation and solve for s

2820=4(900-s)+2.5s

2820=3600-4s+2.5s

2820=3600-1.5s

-780=-1.5s

s=520

we can plug this into the first equation and solve for a:

a+520=900

a=380

Total adult ticket sold : 380

Total student ticket sold = 520

Cost of adult tickets = 380 * 4 = $1520

Cost of student tickets = 520 * 2.5 = $1300

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(CORRECT ANSWER GETS BRAINLIEST) From the information in the graph, what is the mean number of books the boys read?A.3 B.4 C.5 D.6

Answers

B.4!
Explanation: Count how many books the boys read in total: 7, 2, 3, 5, 3
Add them up: 20
Divide by the number of days: 20/5
=4
On Monday 7 read
On Tuesday 2read
On Wednesday 3 read
On Thursday 5 read
On Friday 3read

Total read (7+2+3+5+3)
=20
Mean = Σf/n
Σf= sum of data(frequencies)point
n= total number of data(frequencies)
=20/5
=4
Man number of books the boys read is 4
Option B

QUICKLY I NEED HELP!!!!!! NO WRONG ANSWERS!!

Answers

Answer:

Step-by-step explanation:

What is the question????

What addition statement does this show?

Answers

B is the answer cs it starts at 0 and you add 5 to get to 5 then subtract 6 which is negative 6 to get to -1

The addition statement that this number line shows is B) 5 + (-6) = -1.

What is a number line?

A number line describes the use of a pictorial representation of numbers on a straight line.

The uses of a number line include:

To compare numbersTo teach number sequenceTo illustrate simple numerical operationsTo perform arithmetic operations on numbers.

According to this number line, 5 + (-6) = -1.

Thus, we can conclude that the true statement of the addition operation on this number line is Option B.

Learn more about number lines at https://brainly.com/question/24644930.

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Area
In this task, you will calculate the area of a complicated shape by splitting it into simpler shapes. Cut out shape C. Shape C is not a regular shape, so you cannot directly apply a formula to find its area. Split shape C into simpler shapes whose areas you can find by applying formulas.
Part A
List the simple shapes into which you divided shape C, and measure their sides. Write all the measurements in inches.
Part B
Calculate the areas of all the shapes you cut out from C. Show your calculations.
Part C
What is the area of shape C?
Part D
Ask three other students how they split shape C. Were their shapes the same as yours? Did they get the same area as you did?

Answers

Lol I tried hope it helps

Which relationships describe angles 1 and 2?

Select each correct answer.

Responses

1. supplementary angles
2. vertical angles
3. complementary angles
4. adjacent angles

Answers

supplementary because angle 1 and 2 equal 180
adjacent angles because they are next to each other and don’t overlap

At the 2022 Winter Olympics, one country won a total of 150 medals. A circle graph of the medals is shown.
How many silver and bronze medals were won?

40
80
100
120

Answers

Answer:

120 bronze and silver medals were won.

Step-by-step explanation

silver = 30% of the medals

30% of 150 is 45

bronze = 50%

50% of 150 is 75

45 + 75 = 120

D. 120 is the answer

help pls :)



a rhombus with a base of 20 centimeters and a height of 18.9 centimeters

What is the area of the rhombus?

378 cm2
189 cm2
126 cm2
77.8 cm2

Answers

Step-by-step explanation:

The area of a rhombus is given by the formula A = (1/2)bh, where b is the length of the base and h is the height.

In this case, the base is 20 centimeters and the height is 18.9 centimeters. So, the area of the rhombus is:

A = (1/2)(20)(18.9) = 189 square centimeters

Therefore, the answer is option B: 189 cm2.


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100 Points: Please answer all questions correctly.
Mathematics middle school algebra

Answers

Answer:

Hope this helps :)

Thanks for answering my questions :D

Step-by-step explanation:

Here you go hope this can help!

SOMEONE HELP PLEASE NO WRONG ANSWERS!! <3

Answers

the graph on the bottom left would be the correct answer :)
Graph 3 because the line of best fit covers most of the dots equally

Which expression is equivalent to 0.6 − 0.2?
A. 0.6 + 0.2
B. -0.6 + 0.2
C. 0.6 + (-0.2)
D. -0.6 +(-0.2)

aye sorry if i ask a bunch of questions tonight i'm currently running on 2 monsters and a cookie i found at the back of my fridge

Answers

Answer C; the minus symbol in the quantity of (-0.2) will cancel out the addition in the expression.

Answer:

C

Step-by-step explanation:

**** Very important note **********

"  Difference of two +ve numbers is nothing but sum of positive and negative number . "  For example : a - b = a  +  ( -b )

0.6 - 0.2

= 0.6 + ( -0.2 )

Find the area i need help

Answers

Answer:I'm thinking it's 26.

Step-by-step explanation:

7.2 + 6= 13.2

10+2.8= 12.6

12.6+13.2= 26.

57.6 because it is a trapezoid you imply the formula for the area of a trapezoid.

James buys 4 pens for $3. Which three points lie on the line that best represents the total cost, y, of x pens?
Which order pair is NOT on the line that best represents this relationship?
Responses (8,6) (4,3) (0,0) (6,8)

Answers

James buys 4 pens for $3, so each pen costs $3/4. The total cost of x pens is $3x/4.

The points (0,0), (4,3), and (8,6) all lie on the line y = $3x/4. The point (6,8) does not lie on this line.

Therefore, the answer is (6,8).

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