Which situation could be represented by 5x > 15? Jakiera makes $5 per hour working at her father's repair shop. She needs to make more than $15 to buy the calendar that she wants for next year. How many hours can she work to achieve this goal? Thomas brought 5 cans for the campus food drive. How many more cans does he need to have at least 15 cans for the food drive? Clarice collects comic books. Her brother, Samuel, has 15 comic books. How many comic books does Clarice need to have more comics than Samuel? Elizabeth is five times older than her grandchild, who is 15. How old is Elizabeth?

Answers

Answer 1

Answer:

First situation

More than 3 hours

At least 10

15

75

Step-by-step explanation:

Let x be the number of hours

The equation will be

[tex]5x>15\\\Rightarrow x>\dfrac{15}{5}\\\Rightarrow x>3[/tex]

So, she needs to work more than 3 hours in order to make more than $15.

The situation that represents [tex]5x>15[/tex] is the first one.

Let x be the additional number of cans

The inequality will be

[tex]x+5\geq15\\\Rightarrow x\geq 15-5\\\Rightarrow x\geq 10[/tex]

So, the additional number of cans to be bought is at least 10.

Let x be the number of comic books Clarice has.

[tex]x>15[/tex]

So, Clarice needs to have more than 15 comic books.

Let x be age of Elizabeth

The equation will be

[tex]x=5\times 15\\\Rightarrow x=75[/tex]

So, Elizabeth is 75 years old.


Related Questions

Am I correct? Why am I wrong?

Answers

According to the information the correct match would be: 3 1/2 - This is a rational number, but not an integer, 0.56 - This is a rational number, but not an integer, 5 - This is an integer, Square root of 11 - This is an irrational number, -3 1/2 - This is a rational number, but not an integer.

How to determine the type of number?

To determine the type of number, we need to understand the properties of each number.

3 1/2 can be expressed as the fraction 7/2, which is a rational number (a number that can be expressed as a fraction), but not an integer (a whole number without a fractional or decimal part).

0.56 is a rational number as it can be expressed as the fraction 28/50, but it is not an integer as it has a decimal part.

5 is an integer because it is a whole number without any fractional or decimal part.

The square root of 11 is an irrational number since it cannot be expressed as a fraction or a terminating or repeating decimal.

-3 1/2 can be expressed as the fraction -7/2, which is a rational number (a number that can be expressed as a fraction), but it is not an integer (a whole number without a fractional or decimal part).

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Help plsss I don’t get it

Answers

Answer:

y > 3x - 3

Step-by-step explanation:

First off, to write a linear equation or linear inequality, we use the slope-intercept form: y = mx + b, where m represents the slope of a line, and b represents the y-intercept.

The slope of the line is found using rise/run. The rise, in this case, is 3, and the run is 1. 3/1 is 3. So, we can replace the m in the equation with 3 to get:

y = 3x + b

To find b, simply look for where the line crosses the y-axis (vertical line). In this case, it's -3.

The equation you have now is y = 3x + (-3), which is y = 3x - 3.

You're not done yet. A dotted line like here means a point ON the line is not a solution to the equation, so you have to replace the = with < or >. In this case, the shaded region is everything GREATER THAN -3, meaning you use the > (greater than) symbol.

Your final answer is y > 3x - 3.

Hope this helped!

Answer:

Step-by-step explanation:

The other answer should get the Brainliest. Don't neglect awarding it. They are very good to get.

I'm only going to add a graph for you to see. All it does is point out what < and > mean.

As the other responder said, when the boundary is dotted,  it is not included in the shaded part.

Also he pointed the difference between < and >. That is what I wanted to address. It is easy to tell.

< is less than  the boundary and it is blue.

> is greater than, and it is green.

if the line is solid, then ≤ or ≥ is used.

Solve for c.

2(c +1) = 10

Answers

Answer:

c = 4

Step-by-step explanation:

[tex]2(c+1) = 10[/tex]

Lets divide both the sides by 2.

[tex]=> \frac{2 (c+1)}{2} = \frac{10}{2}[/tex]

[tex]=> c + 1 = 5[/tex]

Now , lets substract 1 on both the sides.

[tex]=> c + 1 - 1 = 5 - 1[/tex]

[tex]=> c = 4[/tex]

The solution to the equation 2(c + 1) = 10 is c = 4.

We have,

To solve for c in equation 2(c + 1) = 10, we will apply the distributive property and simplify the equation step by step.

Let's solve it:

Distribute the 2 to the terms inside the parentheses:

2c + 2 = 10

Move the constant term (2) to the right side by subtracting 2 from both sides of the equation:

2c + 2 - 2 = 10 - 2

Simplifying further:

2c = 8

Divide both sides of the equation by 2 to solve for c:

(2c) / 2 = 8 / 2

Simplifying further:

c = 4

Therefore,

The solution to the equation 2(c + 1) = 10 is c = 4.

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What is the total number of possible 4-letter arrangements of the letters m-a-t-h if each letter is used exactly once in each arrangement?

Answers

9514 1404 393

Answer:

  24

Step-by-step explanation:

The number of permutations of 4 items is 4! = 24.

  math, maht, mtah, mtha, mhat, mhta,

  amth, amht, atmh, athm, ahmt, ahtm,

  tmah, tmha, tamh, tahm, thma, tham,

  hmat, hmta, hamt, hatm, htma, htam

Mark made 23 out of 45 free throws. What is his average number of free throws made? Express your answer as a decimal using bar notation if necessary.

Answers

Answer:

0.51

Step-by-step explanation:

Total free throws taken = 45

Number of successful free throws = 23

Average number of free throws made (x) :

Successful free throws / Numbe rod free throws taken

23 / 45 = 0.511

x = 0.51

Miya flips a coin and rolls a 6-sided number cube labled 1-6 and records tge outcome. About how many times is she likely to flip heads and roll a 3 out of 48 trials

Answers

Answer:

4 times

Step-by-step explanation:

Sample space :

6 sided cube = (1, 2, 3, 4, 5, 6)

Coin = (H, T)

Probability = required outcome / Total possible outcomes

Probability of head (H) = P(H) = 1 /2 = 0.5

Probability of 3 = P(3) = 1 /6 = 0.166666

Probability of heads and 3 on a single try = p(H) * p(3) = 0.5 * 0.166666 = 0.083333

Hence, expected number of times this is likely to occur in 48 tries :

0.083333 * 48 = 4

Four times a number plus five times the number is the same as ten more than eight
times the number. Find the number

Answers

Answer:

The number is 10.

Step-by-step explanation:

Given that:

Four times a number plus five times the number is the same as ten more than eight  times the number.

Let,

x represent the number.

According to given statement,

4 times the number + 5 times the number = 10 + eight times the number

4x+5x=10+8x

Solving the equation,

9x=10+8x

Subtracting 8x from both sides

9x-8x=10+8x-8x

x=10

Hence,

The number is 10.

Find the slope of the graph​

Answers

Answer:Pick two points on the line and determine their coordinates.

Determine the difference in y-coordinates of these two points (rise).

Determine the difference in x-coordinates for these two points (run).

Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

Step-by-step explanation:

WAIT i think we’re doing the same assignment

please answer/ HELP ME I am using ALL of my points to ask this !!! Write the equation for the quadratic function in the graph.

Answers

Answer:

C matches the graph the best

Step-by-step explanation:

Hello just need help with the last question!

Will mark brainliest :)

Answers

9m^2 + 12m + 12m + 16
(collect like terms)

9m^2 + 24m = 16

Please look at the picture I’m timed !!

Answers

Answer:

[tex]k = 2.5[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

[tex]\frac{7.6}{2} = \frac{9.5}{k}[/tex]

Step 2: Solve for k

Cross-multiply:                    [tex]7.6k = 2(9.5)[/tex]Multiply:                               [tex]7.6k = 19[/tex]Isolate k:                              [tex]k = 2.5[/tex]

Answer:

The answer is K+2.5

Step-by-step explanation:

I need help. I can't figure this question out.

Answers

-30a5b+12a4b3+16a3b2-4a2b4-2ab3

What is the value of x?

Answers

Answer:

120

Step-by-step explanation:

gl!!

I need help with the area and perimeter

Answers

Answer:

Area would be 122.

Perimeter would be 45.

This equation shows how the total amount of paper Scott's office has recycled depends on the number of weeks since they started the new recycling plan. p = 12w The variable w represents the number of weeks the office has been on the new recycling plan, and the variable p represents the total kilograms of paper recycled. How many weeks will it take Scott's office to recycle a total of 12 kilograms of paper?

Answers

Answer:

1 week

Step-by-step explanation:

Given:

p = 12w

Where,

w = number of weeks the office has been on the new recycling plan

p = total kilograms of paper recycled.

How many weeks will it take Scott's office to recycle a total of 12 kilograms of paper?

Find w when p = 12

p = 12w

12 = 12w

Divide both sides by 12

w = 12/12

= 1

w = 1 week

Mariana plans to visit an amusement park where she must pay for admission and purchase tickets to go on the rides. Mariana wants to find the total cost for a day at the amusement park. She wrote the equation c = 1.50x + 12 to predict c, the total cost for a day at the amusement park. What could the number 12 represent in Mariana's equation?

Answers

Answer: The number 12 represents admission charge in Mariana's equation.

Step-by-step explanation:

As per given ,

Total cost = ( Charge per ticket) (Number of tickets) +  (Admission fees)  (i)

For x = Number of tickets, the total cost (c) for a day at the amusement park is given as

[tex]c = 1.50x + 12[/tex]                                       (ii)

Here, 12 = Admission fees                 [Comparing (i) and (ii)]

Hence, the number 12 represents admission charge in Mariana's equation.

where do they go and explain why you decided to put it there

Answers

Answer:

0=3/8

1=1 5/8

2= 4/2

i think?

Step-by-step explanation:

3/8 is less than a whole so it is 0

1 5/8 and  4/2 is 2 if simplified and 1 5/8 is less than 2 so 1 5/8 is 1 and 4/2 is 2

3 multiplied by what gives you 0.375

Answers

Answer:

0.125

Step-by-step explanation:

3xp=0.375

p=0.125

Answers
Of this picture that I just uploaded

Answers

Answer:

D

Step-by-step explanation:

Fill in the unknown part 2 kg 1 kg how many grams

Answers

Answer:

1kg=1000g

2kg=2×1000g

= 2000

find the slope and y-intercept of the line in the equation 2y+x=-6 Show all work!


Slope=____ y-intercept=____

Answers

Make it y = mx + b
Subtract x
2y = -x - 6
Divide by 2
Y = -1/2x - 3
Format: y = mx + b
m = slope, b = y intercept
Solution: slope: -1/2
y intercept: -3

Which graph represents the inequality? 2x+y>4

Answers

m=-2

b=4

Slope=-2x+4

y<-2x+4

PLEASE HELP ITS URGENT
What are the domain and the range of this graph?

The domain is {x∈ℝ∣∣x≤0} and the range is {y∈ℝ∣∣y≤0}.

The domain is {x∈ℝ∣∣x≤0} and the range is {y∈ℝ∣∣y≥0}.

The domain is {x∣∣x∈ℝ} and the range is {y∈ℝ∣∣y≤0}.

The domain is {x∣∣x∈ℝ} and the range is {y∈ℝ∣∣y≥0}.

Answers

Answer:

The domain is {x∣∣x∈ℝ} and the range is {y∈ℝ∣∣y≥0}.

Step-by-step explanation:

Is it possible for a triangle to have the side lengths 15, 9, 11? Explain
your reasoning

Answers

Answer:

ANSWER: No; 11. SOLUTION: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

11 is more than 6 and less than 24

9 is more than 4 and less than 26

15 is more than 2 and less than 20


To go bowling, it costs $2 to rent shoes and then $3.25 for each game bowled. Which of the following functions gives the total cost to bowl g games?

Answers

Answer:

2+3.25x

Step-by-step explanation:

A function is represented by the graph. Complete the statement by selecting from the drop-down menu. The y-intercept of the function​ ​y=3x+2​ ​​is Choose... the y-intercept of the function represented in the graph. A graph with a line through point (0, 2) and point (2, 6)

Answers

Answer:

less than

Step-by-step explanation:

Answer:

A graph with a line through point (0, 2) and point (2, 6)

Create an algebraic equation for the word problem below.

Canadian Tire is selling coffee mugs. A coffee mug costs $5 and each day the price increases by $2.

Answers

Answer:

p = 5 + 2d

Step-by-step explanation:

Let the day number be d and the price after d days be p, then required equation is:

p = 5 + 2d

please help me i have a c i need help desperately lol

Answers

Answer:

positive and find the distance..

Step-by-step explanation:

Answer:

1. Find the distance from the number to 0 on the number line

2. positive

Step-by-step explanation:

What is the difference between the let statements of consecutive even integers and consecutive odd integers

Answers

Answer and Step-by-step explanation:

The word, "Consecutive" means, "Back-to-back" or "One after the other." Therefore, consider these integers:

1, 2, 3, 4, 5, 6, 7, 8, . . .

If we write down these integers in such a way that only even integers follow back-to-back, we have:

2, 4, 6, 8, . . .

If we write down these integers in such a way that only odd integers follow back-to-back, we have:

1, 3, 5, 7, . . .

Since 2, 4, 6, 8, . . . Are all even integers that follow back-to-back, then this is known of consecutive even integers.

Since 1, 3, 5, 7, . . . Are all odd integers that follow back-to-back, then this is known of consecutive odd integers.

The perimeter of a rectangle is equal to 280 meters.
The ratio of its length to its width is 5:2. Find the area
of the rectangle.

Answers

Answer: the area of the rectangle is 4000 meter square.

Step-by-step explanation:

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