Leah would like to earn at least $120 per month. She babysits for $5 an hour and works at an ice cream shop for $10 per hour. Let x represent the hours she number of hours she babysits and y represent the hours she works at the ice cream shop.
This question is incomplete
Complete Question
Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream shop for $10 per hour. Leah cannot work more than a total of 20 hours per month. Let x represent the number of hours Leah babysits and let y
represent the number of hours Leah works at the ice cream shop.
Answer:
The inequalities to solve this question is given as:
x + y ≤ 20
5x + 10y ≥ 120
Leah must spend: 16 hours babysitting and 4 hours working at the ice cream shop to earn at least $120
Step-by-step explanation:
Let x represent the hours she number of hours she babysits and y represent the hours she works at the ice cream shop. Leah cannot work more than a total of 20 hours per month.
Hence:
x + y ≤ 20 ...... Equation 1
Leah would like to earn at least $120 per month.
She babysits for $5 an hour and works at an ice cream shop for $10 per hour.
Hence, out Equation is given as:
x × $5 + y × $10 = $120
5x + 10y ≥ 120..... Equation 2
The inequalities to solve this question is given as:
x + y ≤ 20
5x + 10y ≥ 120
To find x and y:
x + y = 20
x = 20 - y
5x + 10y = 120
Substitute: 20 - y for x
5(20 - y) + 10y = 120
100 - 5y + 10y = 120
Collect like terms
- 5y + 10y = 120 - 100
5y = 20
y = 20/5
y = 4 hours
Note:
x = 20 - y
x = 20 - 4
x = 16 hours
Hence:
Leah must spend: 16 hours babysitting and 4 hours working at the ice cream shop to earn at least $120
Devin has 48 gingerbread cookies and 60 candy canes that he will put in gift bags for his friends and family. What is the greatest number of gift bags he can make if each bag will have the same number of cookies and the same number of candy canes? Also, identify the number of cookies and candy canes each bag will have.
Answer:
12 is the largest one number of gift bags he can make. Each will have 4 gingerbread cookies and 5 candy canes
Step-by-step explanation:
Plzzzzz helpppppp which equation represents a line which is parallel to the y- axis A. y=x B.y=7 C.x=-8 D.x=1/2y
Answer:
C.) x=-8
Step-by-step explanation:
The y-axis is a line going up and down. You can think of it as x=0. Parallel means the two line never intersects so x=-8 is the answers because it will never intersects with x=0.
What is the measure of the indicated angle ?
Answer:
The measure of the indicated angle is 72°
Step-by-step explanation:
If two parallel lines intersected by a transversal, then
There are pairs of corresponding angles equal in measuresThere are pairs of alternate interior angles equal in measuresThere are pairs of alternate exterior angles equal in measuresThere are pairs of adjacent interior angles that are supplementaryIn the given figure
∵ There are two parallel lines intersected by a transversal
∵ The angle of measure 108° and the indicated angle are adjacent
interior angles
∴ They are supplementary
∵ The sum of the measures of supplementary angles is 180°
∴ 108 + indicated angle = 180
→ Subtract 108 from both sides
∴ The measure of the indicated angle = 72°
A basket contains six apples and five peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit.
The first piece of fruit is an apple and the second piece is a peach. What’s the probability?
Answer:
6/11 * 5/10
3/11 or 0.27 repeating
Step-by-step explanation:
If F(x) = 9x, which of the following is the inverse of F(x)?
O A. F'(x) = x-9
OB. F'(x) =
C. F'(x) = x + 9
D. F1(x) = 9
Answer:
Should be x/9
Step-by-step explanation:
The inverse of the function is F' ( x ) = x/9
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as F ( x )
Now , the value of F ( x ) is
F ( x ) = 9x be equation (1)
Now , let the inverse of the function be represented as F' ( x )
where , the values of y are interchanged with x
So , the equation is
y = 9x
when x in interchanged ,
x = 9y
On solving for y , we get
Divide by 9 on both sides , we get
y = x / 9
So , the inverse of the function is F' ( x ) = x/9
Hence , the inverse of the function is F' ( x ) = x/9
To learn more about function rule click :
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HELP! Which is a solution to the inequality y>2x-5?
a
(5,-5)
b
(0,0)
c
(0,-5)
d
(10,0)
Answer:
5, -5
Step-by-step explanation:
What postulate would you use to solve this triangle
congruence?
SAS
AAS
ASA
SSS
Which is the best summary of this part of the passage?
A. Catherine patented an invention that lets patients track their own heartbeats
B. Catherine patented an invention that lets patients talk to doctors on a cell phone
C. Catherine patented an invention that lets doctors operate on a patient's heart and lungs
D. Catherine patented an invention that lets doctors hear a patient's heart and lungs
Answer: d
hahehebbsjdhdbrbsndjjd
Step-by-step explanation:
people show me your holiday spirit
Answer:
im the grinch
Step-by-step explanation:
Answer:
we wish you a merry Christmas and a happy new year (◠‿◕)
Please help! Thank you if you do!
Answer:
8/50
5/50
10/50
38/50
45/50
Step-by-step explanation:
Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = −8t + 92.
Here is the complete question I was able to find:
Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = -8t + 92.
How many minutes would it take the printer to use all 92 sheets of paper?
Answer:
The printer needs 11.5 minutes to use all 92 sheets of paper.
Step-by-step explanation:
Given the function
p(t) = −8t + 92
We need to determine how many minutes would it take the printer to use all 92 sheets of paper?We know that putting p(t) = 0 means we will be able to determine the time when all the 92 sheets of paper will have been printed.
Because, putting p(t)=0 means there won't be any sheet left.Thus, plug in p(t) = 0 in the function and calculate the time 't'
p(t) = −8t + 92
0 = −8t + 92
adding 8t to both sides
8t = −8t + 92 + 8t
8t = 92
dividing both sides by 8
8t/8 = 92/8
t = 11.5 minutes.
Thus, the printer needs 11.5 minutes to use all 92 sheets of paper.
Select all that apply.
A boat travels 429 miles in 13 hours (with a constant
speed). How far can it travel in 6 hours (with the same
speed)?
Set up a proportion with your given rate, and what
you're solving for
Answer:
198 Miles in 6 hours.
(It travels 33 miles every hour)
Step-by-step explanation:
(Mark me Brainliest plz)
Find the slope and the y-intercept of the graph of y=−45x−2.
Answer:
Slope: -45
Y-intercept: -2
Step-by-step explanation:
The expression is written in slope-intercept form or y=mx+b.
mx is the slope and b is the slope intercept
what time is 55 minutes before 7:15 am
Answer:
6:20 AM
Step-by-step explanation:
Answer: 6:20
Step-by-step explanation:
Hailey's hair grows at a rate of 1/2 inch per month. How many months will it take her hair to grow a total of 8 inches?
Answer:
16 months for it to grow 8 inches
Answer:
16
Step-by-step explanation:
growth in 1 month = 1/2 inches
growth in x months = x*1/2 inches
total growth = 8 inches
thus,
8 = x*1/2
x = 8 / (1/2)
= 16
PLZ HELP ONLY DO NUMBER 6
Two lines that have the same slope and different y intercepts do not intersect at any points.
True
False
Answer:
True
Step-by-step explanation:
what is the solution to the following system of equations?
4x + 2y = 18
x − y = 3
Answer:
the top one
Step-by-step explanation:
The skateboard rita would like to buy a car $6 less than three times the amount you had sick she has saved the skateboard cost $69 how much money does rita have saved
Answer:
$25
Step-by-step explanation:
Let the total amount saved by Rita be represented by x.
Since the amount is x, and her savings is in such away that 6 is less than three times of it.
i.e 3x-6........ 1
Then the above will be equal to 69
3x-6 = 69
3x = 69+6
3x = 75
x = 75/3
X = 25
Definitely, she has saved $25
(see image for question)
Answer:
Hans has done a mistake in the second step.
The correct answer is:
5x^2+13x-6=0
5x^2+15x-2x-6x=0 - 5. -6=-30 -30=15. -2
5x(1+3x)-2x(1+3x)=0
(5x-2x)(1+3x)=0
5-2x=0 1+3x=0
x=5/2 x=-1/3
please solve this equation and show work 4y−70=12y+2
Answer:
Step-by-step explanation:
Simplifying 4y + -70 = 12y + 2
Add -12y to each side of the equation. -70 + 4y + -12y = 2 + 12y + -12y
Add 70 to each side of the equation. -70 + 70 + -8y = 2 + 70
Divide each side by -8.
So y = -9 is your answer.
Hope I Helped!!!
Jackson is at colletibles fair. He has exactly $8 and will purchase a collectibles card from a vendor for $5. What percentage will jackson spend on the purchase?
A. 0.625%
B. 3%
C. 40%
D. 62.5%
Please help me out or explain how do i do it, but if you give me the answer ill give you brainliest!
Determine the domain of the graph
Will give brainliest answer to first person who answers correctly!!
Answer:
The answer is B
Step-by-step explanation:
Graph goes positive infinitily,
but is inclusive of -4 and up.
L.B. Johnson Middle School held a track and field event during the school year. The chess club sold various drink and snack items for the participants and the audience. Altogether, they sold 486 items that totaled $2673. If the chess club sold each item at the same price, calculate the price of each item. Do not include units ($) in your answer.
Answer:
Price of each item = 5.50
Step-by-step explanation:
Total items sold = 486
Total price of items sold = $2,673
If the chess club sold each item at the same price,
Price of each item = Total price of items sold / Total items sold
= $2,673 / 486
= $5.50
Price of each item = $5.50
Excluding the units ($) in the answer
Price of each item = 5.50
Which two triangles are congruent ? Complete the congruence statement . Please don’t be wrong I’ll
Give Brian list
Answer:
ΔHFG≅ΔSUT
Step-by-step explanation:
You just have to match up the sides and the angle.It's easier to color code them.
For example:
Segment SU would be congruent with HF. (both would be blue, just example color)
Angle U is congruent to angle F (red)
UT congruent to FG (green)
Find the 52nd term for the following sequence. 16,6,-4,-14....
A -412
B -503
C -514
D -494
Jessica rented a truck to move into another apartment. The rental charge is $140 per day plus $0.35 per mile. Write an equation to determine x, the number of miles she can drive the truck if the cost is y.
Answer:
y=0.35x+140Step-by-step explanation:
Step one:
given data
The rental charge is $140 per day
additional charges per mile driven = $0.35 per mile
Step two:
Required
The expression for the total charges
let the number of miles be x, and the total charges be y
the expression for the total charges is
y=0.35x+140
What is the quotient?
(6x10^8) divided by (1.5x10^-4)
A.4x10^-32
B.4x10^-2
C.4x10^4
D.4x10^12
Answer:
D. 4x10^12
Step-by-step explanation:
Answer would be D