Mary babysits for $4 per hour. She also works as a tutor for $7 per hour. She wants to make at least $65 dollars. She is only allowed to work 13 hours per week. Write and graph a system of inequalities to represent this situation.

Answers

Answer 1

Convert the task into an equation so that you can graph the situation:
According to the given information :

x+y≤13
7x+4y≥65
Here is the graph based on the equation
As you can see, to achieve set goal Mary can work 6 or 7 hours.

Mary Babysits For $4 Per Hour. She Also Works As A Tutor For $7 Per Hour. She Wants To Make At Least

Answer 2

Answer:

inequalities are x + y ≤ 13 and 4x + 7y ≥ 65

Step-by-step explanation:

Given: Mary babysits for $4 per hour. She also works as a tutor for $7 per hour. She wants to make at least $65 dollars. She is only allowed to work 13 hours per week.

We have to write and graph the system of inequalities to represent this situation.

Let she babysits for x hours per week

and she works as a tutor for y hours per week

Then given she is allowed to work for 13 hours per week.

this inequality is stated as x + y ≤ 13

Mary babysits for $4 per hour if she babysits for x hours then she get 4x

She also works as a tutor for $7 per hour if she teach for y hours then she get 7y

also, she wants to make at least $65 dollars.

Then, this inequality is represented as 4x + 7y ≥ 65

Plotting of this two inequality is represented as graph shown below.

Related Questions

Tali started a pool cleaning business. She purchased cleaning supplies and charged the same amount for each pool cleaned. The expression −243+24x represents the profit Tali has earned from cleaning pools.

Which expression represents the total amount Tali earns from pool cleaning?

24x

24

−243

x

Answers

Answer:

24x

Step-by-step explanation:

The variable x is used to represent the independent variable in a situation. In this situation, the independent variable would be the number of pools cleaned; this means that x represents the number of pools cleaned.

24x would then indicate that Tali charges $24 per pool cleaned; this makes 24x her total earnings from cleaning pools.

Answer:

A. [tex]24x[/tex]

Step-by-step explanation:

We have been given an expression [tex]-243+24x[/tex], which represents he profit Tali has earned from cleaning pools. We are also told that Tali purchased cleaning supplies and charged the same amount for each pool cleaned.

Upon looking at our expression we can see that [tex]-243[/tex] is constant term and it is negative, so it will represent the amount spent by Tali on supplies.

The term [tex]24x[/tex] contains independent variable [tex]x[/tex], which represents the number of pools cleaned and 24 represents Tali's earning from each pool.

Since Tali cleaned [tex]x[/tex] pools, so total amount of Tali's earning from cleaning [tex]x[/tex] pools will be [tex]24x[/tex] and option A is the correct choice.

Joseph’s garden is 9 feet wide and 12 feet long. Alana’s garden is 7 feet wide and 25 feet long.

How much greater is the area of Alana’s garden than Joseph’s garden?
Please help!! Will give 15 points!

Answers

area of Josephs garden = 9*12 = 108 square feet

area for Alana's garden = 7 *25 = 175 square feet

175/108 = 1.62

Alan's garden is 1.62 times larger

You went shopping and found a pair of shoes that were $45.00 on sale for $27.50. what was the percent of decrease of the shoes? your answer should go 1 decimal place)

Answers

percent decrease = (original number - new number) / original number....* 100
= (45 - 27.5) / 45.....* 100
= 17.5 / 45....* 100
= 0.3888 * 100
= 38.9 % decrease <== thats rounded

i'm working at a distribution place and need help i'm supposed to be averaging 1000 units every hours if i do 4800 in a shift i'm 48 minutes behind schedule how many units per a hour am i averaging

Answers

Expected throughput is
1000 units/h

Therefore the expected time for 4800 units is
(4800 units)/(1000 units/h) = 4.8 hours = 288 minutes

Because the worker is 48 minutes behind schedule, the actual time is
288 + 48 = 336 minutes = 5.6 hours

The actual average throughput is
(4800 units)/(5. h) = 857 units per hour.

Answer: 857 units per hour.

PLEASE ANSWER FAST!
Which statement best describes why the sale price is a function of the original price?
A:As the original price increases, the sale price also increases.
B:The sale price is always less than the original price.
C:For every original price, there is exactly one sale price.
D:The sales price is never less than zero.

Answers

Answer:

I think B,not sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

Got it right

1. what are some different types of numbers that you have herd of before?

2. why do you think it is important to classify (sort) different types of numbers

Answers

natural, whole

you need the different classifications that way it is easier to tell someone what you are talking about.

1. Some types of numbers I've heard about are: whole numbers, fractions, negative numbers, infinite numbers, irrational numbers, rational numbers, improper fractions, imaginative numbers, radical numbers, unknown numbers, etc.

2. I think it important to group or separate numbers out in order to apply them to the categories they apply to.

What is 39ft/min to yd/s?
Please explain using dimensional analysis.

Answers

Dimensional analysis simply means to arrange the units in the problem in a such a way that they cancel each other out and you're left with the units you need in the answer. We do this by using conversion ratios arranged like fractions, then multiplying across left to right.

In your problem, we're given ft/min and need to convert to yd/s. Start with feet and convert to yards for the numerator, then convert minutes to seconds for the denominator: (pretend the parentheses encompass the entire fractions - limitations of the answer box)
39 feet x ( 1 yard ) x (1 min)
1 min 3 feet 60 sec

Notice that feet cancel, and minutes cancel. We're left with yards in the numerator and seconds in the denominator.
Multiplying the numbers, we get 39/180, which simplifies to 0.217.
The final answer is ~0.22 yd/sec.

The length of the base of a triangle is twice its height. if the area of the triangle is 100 square kilometers, find the height.

Answers

10km

a=1/2b·h

If h=x
b=2x

a=1/2(2x)·x
a=x²
100=x²
x=10
h=x=10

Help me solve this please...in detail.

Answers

n+6 = 2*7
n+6 = 14
n= 14-6
n=8

I really need help on this problem can i get help on how to solve the problem please

Answers

you cannot assume that the angles are equal. there is no angle measure and nothing to say the lines are parellel.

48 out of 120 equals what percent

Answers

48/120 = 40%

48 * 2,5 = 120

np ;)

The answer i got was 40 because you multiply 100 to 48 and then divide by 120.

Critical thinking write a recursive rule for a sequence where every term is the same.

Answers

To do this, let f(1) = 5 and f(n) = f(n-1) for n greater than 1. This is recursive rule and each term is the same because it eventually becomes f(1), which is 5.

Please help! Create a set of five positive numbers (repeats allowed) that have a median of 10 and a mean of 14. What thought process did you use to create your numbers?

Answers

Alright, since there are 5 numbers, and the mean (or average) is (sum)/(amount of numbers), we have (sum)/5=14. Multiplying both sides by 5, we have the sum being 80. The median of 10 means that in a, b, c, d, e, 10 has to be c and the numbers have to be in ascending order. A and b must be 10 or lower, while d and e must be 10 or higher. Putting some random numbers in, we can have 1, 1, 10, 15, and e. We left e there because the sum needs to be 80, and since 1+1+10+15=27, 80-27=53=e. This, however, would not work if e was less than 10 and we therefore would have needed to make some numbers lower to compensate for this. Our answer is therefore 1, 1, 10, 15, 53

Work out the value of 3x + 2y when x=4 and y=-5

Answers

3x + 2y =

3*4 + 2*-5=

12 + -10 = 2

Just substitute the equation with the given

The given are
x = 4 and y = -5
the equation is
3x + 2y
3 (4) + 2 (-5) = 12 - 10 = 2

Is it possible for a composite number to have more than one prime factorization?

Answers

no The prime factorization of a composite number is the process of finding all the prime numbers that when multiplied together result in the composite number. Just rearranging the order of the prime numbers doesn't change the factorization. The Commutative Property of multiplication allows us to multiply the prime factors together in any order at all.

Algebra Vocabulary Crossword help ?!

1. a relation described in word format? (17 letter)

9. a way to name a function identifying its input?
(16 letter)

Answers

1. a relation described in word format (17 letter) is "is direct variation"

9. a way to name a function identifying its input (16 letter) is "f of x equals x square"

Final answer:

The student is looking for the terms 'Verbal Description' and 'Function Notation' for their Algebra Vocabulary Crossword. These refer to a relation described in word format and a way to name a function identifying its input respectively.

Explanation:

Based on the number of letters you've indicated, it looks like you're looking for two vocabulary items in the field of Algebra.

First, a relation described in a word format is typically called a Verbal Description, which has 17 letters.

Second, a way to name a function identifying its input is called Function Notation, which has 16 letters.

In Algebra, Verbal Description is when you describe a mathematical relationship using words. For example, 'the sum of a number and three is seven.' This could be translated to the equation x+3=7.

Function Notation, on the other hand, is a way to name a function that is dependent on one or more inputs. For example, f(x) = x^2 is function notation, since the output 'f(x)' is dependent on the input 'x'.

Learn more about Algebra Vocabulary here:

https://brainly.com/question/17547766

#SPJ11

The LCD for the fraction 1/3 , 3/4 , 5/32 , and 8/9 Is?

A. 288
B. 24
C. 3,072
D. 64

Answers

the answer would be a. 288. hope that helped

2 is the biggest number, so to find the LCD check to see if it is divisible by 3, no, 4, yes, 9, no. Next number: 32x2=64. None of the numbers were divisible. Eventually, you'll find that the LCD is 288

whats 10 minutes plus 7minutes plus 48minutes plus 1 hour and 29 minutes equal?

Answers

2 hours and 34 minutes

Answer: 2 hours and 34 minutes

Step-by-step explanation:

10 minutes plus 7 minutes plus 48 minutes plus 60 minutes plus 29 minutes equals 154 minutes. 154 minutes equals 2 hours and 34 minutes.

Name the property the equation illustrated
8 + 3.4 = 3.4 +8

Answers

8 + 3.4 = 3.4 +8
commutative property of addition

I'm sure it would only just be 0 so either 0 or no solution

(−2+2i)⋅(5+5i)
Can you help me simplify

Answers

(−2+2i)⋅(5+5i)
FOIL
-10-10i+10i+10i²=-10+10i² this is the simplify answer
If you want the complete answer is
-10+10(-1)=-10-10=-20

what is the square root of 49

Answers

7 is the square root of 49.
7^2 = 49

The answer is 7. Hope this helps!

Based on research by barsh and colleagues (2000), _____ genes appear to be related to body weight regulation.

Answers

The answer is more than 40 genes. According to their research, these genes are transcripted into the DNA during the translation.One of these genes is called CYP19. Having more than one strand of this gene can possibly be the reason why people are slightly larger than the others.

Need help ASAP real quick ????????????

Answers

The answer is 54. (36+72=108. 108/2 = 54)

The height of one square pyramid is 12 m. A similar pyramid has a height of 6 m. The volume of the larger pyramid is 400 m3. Determine each of the following, showing all your work and reasoning.

Scale factor of the smaller pyramid to the larger pyramid in simplest form

Ratio of the areas of the bases of the smaller pyramid to the larger pyramid

Ratio of the volume of the smaller pyramid to the larger

Volume of the smaller pyramid

Answers

[tex]\bf \qquad \qquad \textit{ratio relations} \\\\ \begin{array}{ccccllll} &Sides&Area&Volume\\ &-----&-----&-----\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array} \\\\ -----------------------------\\\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\ -------------------------------\\\\ [/tex]

[tex]\bf \cfrac{smaller}{larger}\qquad \cfrac{\stackrel{height}{6}}{\stackrel{height}{12}}\implies \cfrac{1}{2}\impliedby \textit{scale factor of the pyramids}\\\\ -------------------------------\\\\ \cfrac{smaller}{larger}\qquad \cfrac{h}{h}=\cfrac{\sqrt{base}}{\sqrt{base}}\implies \cfrac{1}{2}=\sqrt{\cfrac{base}{base}}\implies \left( \cfrac{1}{2} \right)^2=\cfrac{base}{base} \\\\\\ \cfrac{1^2}{2^2}=\cfrac{base}{base}\implies \cfrac{1}{4}=\cfrac{base}{base}\\\\ -------------------------------\\\\[/tex]

[tex]\bf \cfrac{smaller}{larger}\qquad \cfrac{h}{h}=\cfrac{\sqrt[3]{volume}}{\sqrt[3]{volume}}\implies \cfrac{1}{2}=\sqrt[3]{\cfrac{volume}{volume}} \\\\\\ \left( \cfrac{1}{2} \right)^3=\cfrac{volume}{volume} \implies \cfrac{1^3}{2^3}=\cfrac{volume}{volume}\implies \cfrac{1}{8}=\cfrac{volume}{volume}\\\\ -------------------------------\\\\ \cfrac{smaller}{larger}\qquad \cfrac{1}{8}=\cfrac{\stackrel{volume}{v}}{\stackrel{volume}{400}}\implies \cfrac{1\cdot 400}{8}=v[/tex]

If the ratio between the radii of the two spheres is 3 5 what is the ratio of their volumes

Answers

3^3 / 5^3 = 27 / 125

Answer:

The answer is 27:125

Cho welcome

Which equation below represents a vertical line? y = x + 0, y = x – 0, y = 4, x = 4

Answers

a vertical line is represented by x = a number
so ur vertical line is : x = 4 <==

** and just so u know, a horizontal line is represented by y = a number.

[tex]x=4[/tex] is the answer
hope this has helped you

Simplify 5(a - b) + 6(a + b) - 7(a - 2b)

Answers

The answer is 4a + 15b

the simplified answer is 4a+15b

If f(x) = + 8, what is f(x) when x = 10?

Answers

f(x) = (x/2) + 8
f(10) = (10/2) + 8 ... replace every x with 10; now use PEMDAS
f(10) = 5 + 8
f(10) = 13

We plugged in x = 10 as the input to get the output of f(x) = 13

Answer: 13

Answer:

Step-by-step explanation:

it correct

Given the literal equation for the area formula of a trapezoid: A =12h(b1 + b2) solve for b1. Must show your work to receive full credit.

Answers

[tex]$ b_1 = \frac{A}{12h} - b_2 $[/tex] is the formula to solve for [tex]$ b_1 $[/tex] in the trapezoid area equation.

To solve for [tex]$ b_1 $ in the equation $ A = 12h(b_1 + b_2) $, where $ A $[/tex] is the area of the trapezoid, [tex]$ h $ is the height, $ b_1 $[/tex]is one of the bases, and [tex]$ b_2 $[/tex] is the other base, you can follow these steps:

1. Divide both sides of the equation by [tex]$ 12h $ to isolate $ (b_1 + b_2) $:[/tex]

[tex]\[ \frac{A}{12h} = b_1 + b_2 \][/tex]

2. Subtract [tex]$ b_2 $[/tex] from both sides of the equation:

[tex]\[ \frac{A}{12h} - b_2 = b_1 \][/tex]

So, the equation for [tex]$ b_1 $ in terms of $ A $, $ h $, and $ b_2 $[/tex] is:

[tex]\[ b_1 = \frac{A}{12h} - b_2 \][/tex]

60 POINTS!!

What are the missing parts that correctly complete the proof?

Answers

2. definition of bisector
3.definition of perpendicular
4.∠AXP=~∠AXQ
6.SAS congruence postulate
7.Corresponding parts of congruent triangles are congruent

the guy below/above is correct

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