Juanita has $25, and she makes $11 per hour. She needs at least $58 to buy new shoes. Write and solve an inequality to determine how many hours Juanita must work to be able to buy new shoes. Then interpret the solution.

Answers

Answer 1
Hello there! :)I'm happy to be helping you!

Answer:

Juanita must work 3 hours and above to be able to buy new shoes.

Step-by-step explanation:

Initially, Juanita has $25 and make $11 per hour

meaning, Juanita's new cash in hand after t hours is;

[tex]\tt C=25+11t[/tex]

Juanita needs at least $58 to buy new shoes;

meaning, the minimum cash Juanita should have should be $58 and above.

Simply put,

[tex]\tt C\geq 58[/tex]

[tex]---> \tt 25+11t\geq 58[/tex]

[tex]\tt --->11t\geq 58-25[/tex]

[tex]---> \tt 11t\geq 33[/tex]

[tex]----> \tt t\geq \frac{33}{11}[/tex]

[tex]---> \tt t>3[/tex]

The solution reveals that Juanita must work 3 hours and above to be able to buy new shoes.

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Related Questions

what is the property of 3m x 1 =3m

Answers

Answer:

Assuming this is for a Conic Section. There is no property as it does not match a conic section.

solve for x please!!!!

Answers

Answer:

13.86

Step-by-step explanation:

Note m∠ADB = m∠ABC, and m∠A = m∠A, so

ΔABD ~ ΔABC

AD : x = x : AC

AD : x = x : (AD + DC)

12 : x = x : 16

x^2 = 12 * 16 = 192

[tex]x=\sqrt{192} = 13.86[/tex]

There are 15 students on the debate team. Of these, 3 are boys. Give the ratio of boys to girls on the debate team in simplest form.

Answers

Answer:

1:4

Step-by-step explanation:

15 - 3 = 12

3:12 = 1:4

Answer:

1:5

Step-by-step explanation:

hope this helps

Saleh rented a truck for one day. There was a base fee of 16.95, and there was an additional charge of 79 cents for each kilometer driven. Saleh had to pay 234.99 when he returned the truck. For how many kilometers did he drive the truck?

Answers

276 kilometers

x=kilometers
16.95+0.79x=234.99
0.79x=218.04
x=276

A camel can drink 15 gallons of water in 10 minutes. At this rate, how much water can the camel drink in 6 minutes?

Answers

10:15

15/10

15/10*6/1=9 gallons

We take the ratio times the minutes to get the answer!

Hope this is helpful!

Answer:

9 gallons of water

Step-by-step explanation:

Given,

A camel drinks water in 10 minutes = 15 gallons

So,

Water drank by the camel in 1 minute = [tex]\frac{15}{10} gallon[/tex]

So, Water drank by the camel in 6 minutes

= ( [tex]\frac{15}{10}[/tex] × 6) gallons

[On Simplifying]

= 1.5 × 6 gallons

[On multiplying]

= 9 gallons

Hence,

Amount of water drank by the camel in 6 minutes is 9 gallons of water. (Ans)

Emma read 3/12 of her book on Saturday and 5/12 of her book on Sunday. She read 2/12 of her book on Monday. How much more of the book did Emma read over
the weekend than on Monday? Draw bar diagrams and write and solve equations.

Answers

i think she read 5/12 more on the weekend tham she did on monday (sorry i cant do a diagram)

If you make a yearly income of $76,923.54 and are taxed 23% of your income, how much do you owe in taxes?

Answers

Hey there! Your answer is:

17692.4142

Hope this helps! :D

Jake buys a car for $1500 and sells it for $1800. What is Jake’s percentage profit?

Answers

step by step explanation:

Jake brought a car = 1500rs

Jake sell the car = 1800

profit = sp-cp

so profit = 1800-1500 = 300

profit percent = gain/cp×100

profit percent = 300/1500×100

profit percent = 20% (double zero are cancel and 300 divided by 15)

What is the equation of a line with a slope of -1 and a y-intercept of -5?

Answers

The answer is y=-x-5

[tex]\huge\boxed{\boxed{Hello\:there!}}[/tex]

We are given the slope of the line and its y-intercept, so we can easily determine its equation.

Since we have the slope and the y-intercept, we can write the equation in slope-intercept form.

Slope-Intercept form looks like so:

y=mx+b

Where m is the slope and b is the y-intercept.

Slope: -1

Y-intercept: -5

Equation: y=-1x-5

y=-x-5 (Answer)

Hope it helps! Enjoy your day!

Please feel free to ask if you have any doubts.

-Sparkles-

rachel has a toy shaped like a triangular pyramid in which the base and the lateral faces are congruent equilateral triangles.

Answers

Answer:

21 in. squared

Step-by-step explanation:

16. 75 feet per second to feet per minute

Answers

Answer:

75 feet per second to feet per minute is 4500

Step-by-step explanation:

75 feet per second to 16. feet per minute

What is the total area of the figure below?

Answers

Answer:

total area: 141 in²

Step-by-step explanation:

area of the figure: area of two triangles together + area of trapezium

area of the figure: 1/2 * base * height + 1/2 * ( a + b ) * height

area of the figure: 1/2 * 6 * 8 + 1/2 * ( 10 + 16 ) * 9

area of the figure: 24 + 117

area of the figure: 141 in²

Calculate the median of the data set below.
15, 19, 24, 12, 9, 24, 19, 16, 21, 12

Answers

Answer:

17.5

Step-by-step explanation:

9, 12, 12, 15, 16, 19, 19, 21, 24, 24

16 + 19 = 35 divided by 2 = 17.5

At what point does the graph of y=9x(x is exponent) cross the y-axis?
A. (0,9)
B. (9,0)
C. (0,1)
D. (1,0)

Answers

Answer:

-The graph crosses the y-axis at the point (0,0)

None of the given options is correct

A graph crosses the y-axis at the point (0,y).This means that the graph will cross the y-axis when x-=0

To find the point where the graph crosses the y-axis,substitute x=0 into the given equation y-9x

substitute x=0 into the equation y-9x to find the corresponding value of y

That is,

y=9(0)

y=0

therefore the graph crosses the y-axis at the point (0,0)

Step-by-step explanation:

hope it hlps

y
3+
2+
1
т
-4 -3
-2
1
1
3
N
-3
-4
What is the slope of the line?

Answers

Up 1 over 2 you’re welcome



Reasoning is bc it is what it is
Up over two is the correct answer

Simplify 6 to the fifth power over 7 cubed all raised to the second power.

Answers

Answer:

513.954016

Step-by-step explanation:

If what you mean was (6^5/7^3)^2 than:

(6^5/7^3)^2 is equal around 513.954016

mr dlamini transport people between butterworth and east london using a bus which has a capacity of 100 people. the transport charge starts with a minimum charge of r8 and end of dig king muscle contr thereafter it was increased by r2 for each kilometre. peces eces and urine fo ine (ur. where small inte on a particular day the bus was full with passengers from butterworth. in each and every kilometre there was a passenger getting off while no new passenger entered in the bus. mr dlamini was calculating total money in his hand after each passenger was getting out. the total amount he has after each stop can be written as a series as follows: sn=8+10+12+14+...​

Answers

From the computation regarding the series, it can be deduced that the sum of the first two terms will be 18.

How to calculate the series

From the information given, it was stated that the transport charge starts with a minimum charge of R8, and thereafter it was increased by R2 for each kilometer.

The series is also given as S. = 8 + 10 + 12 + 14 +... Therefore, the sum of the first two terms will be:

= 8 + 10

= 18

Also, expressing T2 in terms of S, and S2 will be T2 = S + S2.

Learn more about arithmetic series on:

brainly.com/question/24295771

A boat costs $92,000.00 and depreciates in value by 15% per year. How much will the boat be worth after 10 years?

Answers

Answer:

$18,112.45 (nearest cent)

Step-by-step explanation:

Let y = value of the boat

Let x = the number of years

If the boat depreciates in value by 15% each year, then each year that goes by, it is worth 85% of the previous year's value (since 100 - 15 = 85)

85% = 85/100 = 0.85

Therefore, the equation is:  [tex]y = 92000 \times 0.85^x[/tex]

So, when x = 10:

[tex]\implies y = 92000 \times 0.85^{10}=18112.45[/tex]

what is the range for 37, 40, 33, 45, 32, 34

Answers

Answer:

13

Step-by-step explanation:

The biggest number minus the smallest number.

Answer:

13

Step-by-step explanation:

the highest value is 45

the lowest value is 32

subtract them from each other and you get 13

Rob is saving to buy a new MP3 player. For every $14 he earns babysitting, he saves $5. On Saturday, Rob earned $56 babysitting. How much money did he save?

Answers

Answer:

ok so from looking at this if he earns 14 dollars he saves 5 so he saves

5/14 so lets just multiply this by the 56

56*5/14=20

so he saves 20

20

Hope This Helps!!!

19. MP Find the Error A student simplified the
expression (6x - 2) - (-x + 5) to 7x + 3.
Find the student's error and correct it.
Copyright © McGraw-Hill Education

Answers

The expression, (6x - 2) - (-x + 5), is simplified as 7x - 7. The student's error was wrong calculation in the final steps where he subtracted 2 from 5.

What is a Simplified Expression?

A simplified expression is an expression that is evaluated to its simplest form, that is, it cannot be simplified further.

Given:

(6x - 2) - (-x + 5)

Open the bracket by multiplying each of the terms in (-x + 5) by the negative sign (-):

6x - 2 + x - 5

Combine like terms

7x - 7

Thus, the expression, (6x - 2) - (-x + 5), is simplified as 7x - 7. The student's error was wrong calculation in the final steps where he subtracted 2 from 5.

Learn more about simplified expressions on:

https://brainly.com/question/25802006

Evaluate The Following Expression


136
-----
-10-7

Answers

Answer:

-8

Step-by-step explanation:

136/-17 when simplified because -10-7=-17 then plug into a calculator and you get -8

Hope this helps! :)

Answer:

Step-by-step explanation:

I have tried it for multiple times but it still doesn’t work TvT! Please help me eight this question

Answers

Answer:

  a) x = -2

  b) 8 integer values

Step-by-step explanation:

Matthew's solution is correct as far as it goes. However, he failed to take into account the possibility of negative square roots.

His solution might rightly look like ...

  3 < 3x² ≤ 75

  1 < x² ≤ 25 . . . . . divide by 3

  1 < ±x ≤ 5 . . . . . . take the square root

Separating the results:

  1 < x ≤ 5

  -1 > x ≥ -5 . . . . . . multiply by -1

a)

The value x=-2 shows Matthew's solution is incorrect:

  3 < 3(-2)² ≤ 25   ⇒   3 < 12 ≤ 25 . . . true

__

b)

x can have the integer values {-5, -4, -3, -2, 2, 3, 4, 5}, a total of 8 values.

__

In the attached, the white space (and dashed line) are the solution set. The shaded areas (and solid line) are excluded from the solution set.

_____

Additional comment

It can be helpful to remember that ...

  [tex]\sqrt{x^2}=|\,x|\ne x[/tex]

That is, values of x may be negative, but the positive square root will only show you a positive value.

Solve for y.
x+y=7
x=5
Simplify your answer as much as possible.

Answers

Answer:

y = 2

Step-by-step explanation:

Given equations:

x+y=7

x = 5 .........given that x is 5

--------------------------------------------------------------------

5 + y = 7  ...............replace x as 5 here.

y = 7 - 5

y = 2

-2 2/5 multiplied by 4 3/8

Answers

Answer:

-10 1/2

Step-by-step explanation:

-2 2/5 times 4 3/8

Turn fractions into mixed numbers: -12/5 and 35/8

Cross multiply: -12/5 times 35/8= 21/2

Turn fraction back into proper fraction: -10 1/2

please help this is for my son

Answers

Answer:

8 cookies left to be baked

Step-by-step explanation:

Len

Len bakes 1/3 of 30 cookies

To find 1/3 of 30, divide 30 by 3 then multiply by 1:

[tex]\implies \frac{30}{3} \times1=10 \times 1=10[/tex]

Therefore, Len bakes 10 cookies

Sallesh

Sallesh bakes 2/5 of 30 cookies

To find 2/5 of 30, divide 30 by 5 then multiply by 2:

[tex]\implies \frac{30}{5} \times2=6 \times 2=12[/tex]

Therefore, Sallesh  bakes 12 cookies

Cookies left to bake

To calculate how many cookies are left to bake, subtract the found number of cookies Len and Sallesh have baked from 30:

30 - 10 - 12 = 8

So there are 8 cookies left to be baked.

Total cookies both baked

[tex]\\ \tt\longmapsto \dfrac{1}{3}+\dfrac{2}{5}[/tex]

[tex]\\ \tt\longmapsto \dfrac{5+6}{15}=\dfrac{11}{15}[/tex]

Cookies left:-

[tex]\\ \tt\longmapsto 30-11/15(30)=30-22=8[/tex]

HELP PLEASE!! a class must have fewer than 18 students due to the number of desks that can be placed in the classroom. write an inequality that represents this situation. use the variable n to represent the number of students​

Answers

Answer:

n ≤ 18

Step-by-step explanation:

The students can be 18 but they can't be greater than 18 so the inequality must be n ≤ 18.

Solution (Part-A)

Note that:

Given clue: A class must have fewer than 18 students

Let's reread the clue carefully.

{A class} must have {fewer} than {18 students}

     ↥                              ↥                        ↥

     n                             <                        18

The inequality formed: n < 18

This means that the solution of the inequality can be anything except 18 or above 18.

Solution (Part-B)

Note that:

Given clue: The class must have at least 15 students

Let's reread the clue carefully.

{The class} must have {at least} {15 students}

      n                                  ≥                15

The inequality formed: n ≥ 15

This means that the solution of the inequality can be 15 or less than 15.

Solution (Part-C)

The value of n that can be a solution of both inequalities can be 15, 16, and 17.

Hoped this helped!

100 points
help asap

Answers

Step-by-step explanation:

cars= 8, 24

trucks= 20

total ($)=

pounds=5

calories=

Answers and Step-by-step explanations:

(Answers are all bold-ed and underlined.)

For these problems, they are asking you to fill in the blanks by noticing and by trying to find a pattern. In order to determine what the values are, this will require multiplication and division.

Table 1:

For the cars side, we can notice that that side of the table is going by 4's. Because 4, 12 and 16 are all multiples of 4. So, let's fill in this side.

Cars:

4

8

12

16

20

And, if we look at the trucks side, we can also notice a pattern of 5's. The numbers 5, 10, 15, and 25 are all multiples of 5. Now we can fill in the trucks side.

Trucks:

5

10

15

20

25

We can notice a pattern that both sides of the equation are being multiplied by 1, 2, 3, and so on (4x1=4, 4x2=8, 4x3=12...).

Table 2:

This table requires a little bit more work. We are going to need to do division for this problem. First, let's pick a value on the "Total ($)" side. From there, we can then take the "Pounds" side and use that to find the rest of the answers. Because 1.50 is the number below the first column, it will be the easiest to use to find what goes in that first column. And because we are using this column, we also have to use the "Pounds" side as well. So our equation will look something like this:

1.50 ÷ 2 = 0.75

So we can now place this in the first column. We can now use this to fill out the rest of the table. Because 0.75 x 2 = 1.50, then we can conclude that those pounds represent what we are multiplying the 0.75 by.

Total ($):

0.75

1.50

2.25

3.00

6.00

For the pounds side all we have to do is divide the Total ($) sides by the 0.75 to get our answer.

Pounds:

1

2

3

4

8

Table 3:

This table shouldn't be very hard since it already gives us the first value. All we do is just multiply the cookies by the calories to get our answers for the Calories side.

Second column: 35 x 2 = 70, and so onto the rest of the columns.

Calories:

35

70

140

280

350

____________________________________

I hope that this helps.

gena sprinted 12 yard. alicia sprinted 10 yards and 4 feet. lyona sprinted 4 yards and 7 feet less than gena how many total feet did the three girls sprint

Answers

Answer:

100 ft

Step-by-step explanation:

1 yd = 3 ft

Gena: 12 yd= 36 ft

Alicia: 10 yd and 4 ft= 34 ft

Lyona: about 10 yd= 30 ft

36 + 34 + 30 = 100

express 56;84;104 each as a product of their prime factors​

Answers

Answer:

2x2x2x7 is 56, 2^2x3x7 is 84, and 2x2x2x13 is 104.

Step-by-step explanation:

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