Answer: Reduce the expression, if possible, by cancelling the common factors
25223.52941176
Hoped this helped :)
A rental car company charges $36.39 per day to rent a car and $0.09 for every mile
driven. Miguel wants to rent a car, knowing that:
He plans to drive 225 miles.
• He has at most $480 to spend.
Which inequality can be used to determine x, the maximum number of days Miguel
can afford to rent for while staying within his budget?
Answer:
12 days
Explanation:
480 >/= 36.39x + 20.25
The inequality to determine x, the maximum number of days Miguel
can afford to rent while staying within his budget is
202.5 + 36.39x ≤ 480
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
Charges per day = $36.39
Charges per mile = $0.90
Total miles = 225
Total charges for 225 miles.
= 225 x 0.90
= $202.5
The maximum amount to spend = $480
The inequality for the maximum number of x days.
202.5 + 36.39x ≤ 480
Thus,
The inequality to determine x, the maximum number of days is
202.5 + 36.39x ≤ 480
Learn more about inequalities here:
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When 3 + 3x − 5 − 8x is simplified, the result is:
-5x − 2.
-5x − 8.
-11x − 15.
6x − 13x.
Answer: -5x - 2
Step-by-step explanation:
Combine like terms: (3x - 8x) + (3 - 5) → -5x - 2 :)
A circular pond has a diameter of 12 meters. The radius of the pond is ____ meters.
Answer:
6 meters
Step-by-step explanation:
radius is half of diameter
Lena got a prepaid debit card with $30 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 19 cents per yard. If after that purchase there was $27.15 left on the card, how many yards if ribbon did lena buy?
Step-by-step explanation:
To find out how much she spent:
30 - 27.15 = 2.85
Change it to cents:
2.85 x 100 = 285 cents
Calculate how many yards of ribbon she bought:
285 / 19 = 15
Therefore, she bought 15 yard of ribbon.
-59 from -100 please help
Answer:
I think the answer will be - 159
Because the number with similar sign are always added
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
i don't understand this at alllll :(
Answer:
300
Step-by-step explanation:
volume of rectangle formula:
HEIGHT*WIDTH*LENGHT*
12*10(1/2)*20(1/4= 300
Answer:
2551.5in³
Step-by-step explanation:
this is easy if you know the formula.
volume = l*w*h
= 20.25*10.5*12= 2551.5in³
Please Help! If the triangle above is reflected over the y-axis, what is the correct coordinate for A'?
Answer:
A'(2,5)
Step-by-step explanation:
The position of point A is at (-2,5), and when you reflect it over the y-axis, you just have to switch the signs of the x-coordinate value.
Answer:
A'(2, 5)
Step-by-step explanation:
If the triangle is reflected over y-axis, the y-axis will be a symmetry line then the distance between A and y will remain the same but opposite sign which is 2 units ( -2 become 2 )
1. Suppose that a theater charges a school group $4.50 per student to show a special film. Suppose that the theater's operating expenses include $130 for the staff and a film rental fee of $1.25 per student.
a. What equation relates the number of students x to the theater's income I?
b. What equation relates the theater's operating expenses E to the number of students x?
c. Copy and complete the table below.
Theater Income and Expenses
Number of Students, x 0 10 20 30 40 50 60 70
Income, I ($) box box box box box box box box
Expenses, E ($) box box box box box box box box
d. On the same set of axes, graph the theater's income and operating expenses for any number of students from 0 to 100.
e. Describe the patterns by which income and operating expenses increase as the number of students in a group increases.
f. Write and solve an equation that you can use to answer the question “How many students need to attend the movie so that the theater's income will equal its operating expenses?”
g. Write an equation that represents the theater's profit. Compare your equation to those your classmates wrote.
h. Find the number of students that make each of the following inequality statements true.
i. E < 255
ii. I > 675
The functions I(x) and E(x) of the theatre's income and expenses are illustrations of linear functions.
The equation of the theatre's incomeThe theatre charges $4.50 per student.
Assume the number of students is x, the equation of the theatre's income would be:
I(x) = 4.5x
The equation of the theatre's expensesThe theatre expense per student is $1.25, and the operating cost on the staff is $130
The equation of the theatre's expenses would be:
E(x) = 1.25x + 130
Complete the tableUsing the formulas I(x) = 4.5x and E(x) = 1.25x + 130, the complete table is:
Students, x 0 10 20 30 40 50 60 70
Income, I 0 45 90 135 180 225 270 315
Expenses, E 130 142.5 155 167.5 180 192.5 205 217.5
The graph of the theatre's income and expensesSee attachment
The pattern by which theatre's income and expenses increaseThe functions I(x) and E(x) are linear functions.
So, the pattern with which the functions increase is a linear pattern.
The number of students when the theatre's income and expenses are equal
This means that:
I(x) = E(x)
So, we have:
4.5x = 1.25x + 130
Subtract 1.25 from both sides
3.25x = 130
Divide both sides by 3.25
x = 40
Hence, the number of students is 40
The theatre profitThis is the difference between the theatre expenses and their income.
So, we have:
P(x) = E(x) - I(x)
This gives
P(x) = 1.25x + 130 - 4.5x
Simplify
P(x) = 130 - 3.25x
Solution to the inequalitiesWe have:
E(x) < 255
This gives
1.25x + 130 < 255
Subtract 130 from both sides and divide by 1.25
x < 100 students
Also, we have:
I(x) > 675
This gives
4.5x > 657
Solve for x
x > 146 students
Hence, the number of students for the inequalities are less than 100 and greater than 146
Read more about linear equations and inequalities at:
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please show steps to solve the problem thank you
Answer:
65 total number of boys
Step-by-step explanation:
In the boys row there are 45 "Blue" boys and 20 "Orange" boys.
You can add these numbers up together to find the answer to this problem.
45 + 20 = 65
65 total number of boys
After reviewing her driving record for the past 3 years, Cindy’s insurance company offers her a good driver discount of 4. 5%. Her original policy was based on the premiums listed below. What is her new annual premium including the discount? Cindy's Auto Insurance Policy Type of Insurance Coverage Coverage Limits Annual Premiums Bodily Injury $50/100,000 $31. 75 Property Damage $25,000 $120. 50 Collision $500 deductible $275. 75 Comprehensive $100 deductible $100. 00 a. $504. 24 b. $523. 50 c. $528. 00 d. $551. 76.
Cindy's new annual premium including the discount would be given by: Option A: $504.24
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
The table given is:
Type of Insurance Coverage Coverage Limits Annual Premiums
Bodily Injury $50/100,000 $31. 75
Property Damage $25,000 $120. 50
Collision $500 deductible $275. 75
Comprehensive $100 deductible $100. 00
Her total annual premium = 31.75 + 120.50 + 275.75 + 100 = $528
Discount offered to her = 4.5% of $528 = [tex]\dfrac{528}{100} \times 4.5 = 23.76[/tex] (in dollars)
The new premium that she needs to pay after discount = Old premium - discount = $528 - $23.76 = $504.24
Thus, Cindy's new annual premium including the discount would be given by: Option A: $504.24
Learn more about percent here:
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Answer:
its a
Step-by-step explanation:
If 6 books costs $48, then the cost of 8 books will be
10 people each wants 3 slices but a box has 8 slices
Answer:
you need 30 slices
a minimum of 4 boxes of pizza
Step-by-step explanation:
Rewrite without absolute value for the given condition: y=|x−3|+|x+2|−|x−5|, if 3 < x < 5
Answer:
x>3 but x<5 so x=4
4-3=1
+
4+2=6
-
4-5=-1
but |-1|=1
so
1+6-1=6
Can someone explain this to me?
What is the area of rhombus ABCD? (Assume the diagonals of rhombus ABCD are equal).
Step-by-step explanation:
area of rhombus =1/2(d1×d2)
=1/2(4.25×4.25)
=1/2×18.0625
=9.03cm^2
Help me solve this please
There are 372 children, I hope my answer will be of use to you.
Helen wrote and solved the equation.
x minus 17 = 56. x minus 17 + 17 = 56 minus 17. x = 39.
What was Helen’s error?
Helen only needed to add 17 to the left side of the equation.
Helen should have added 17 to both sides of the equation.
Helen’s work is correct.
Helen made a subtraction error when subtracting 17 from 56.
Answer:
x-17=56
x-17+17=56+17
x=56+17
x=73
Step-by-step explanation:
Do mark BRAINLIEST
Answer:
d
Step-by-step explanation:
Ashley predicts that 92% of the people she invites to her party will come. If she wants to have at least 23 guests, how many people should she invite to her party?
Answer:
25 people
Step-by-step explanation:
So, you're trying to find how many she needs to invite since only 92% show up. With this problem, you need to figure out 92% of what number is 23. An equation for this is:
92/100 = 23/x
1. Cross multiply to get 92x=2300
2. Divide both sides to get x by itself. You should get x= 25
3. So, she should invite 25 people
FOR THE INVERSE VARIATION P- , FIND V>
WHEN P= 1/2
I am doing a coordinate plane activity and i need help my teacher said it was going to be easy but to me it isn’t.
Tom knows that in his school 10 out of every 85 students are left-handed.
There are 391 students in Tom's school.
how many students in Tom's school are left handed?
Answer:
46 are left handed
Step-by-step explanation:
divide 10 by 85 and you get 0.11764705882352941176470588235294 then multiply that by 391 and you get 46
Pam has ridden her new bike 7.2 miles. Dale has ridden his new bike 12.5 times as far as Pam.
How far has Dale ridden his bike? Enter your answer in the box.
Answer:
He has ridden 90 miles
Step-by-step explanation:
7.2 X 12.5 = 90
the following shape has 1 pair of parallel sides 2, 7, 3, 8
Answer:
I think it's 8
Step-by-step explanation:
because if you think of an octagon it has eight sides and the only parallel sides is pn the top of the octagon and the bottom of the octagon
What is the value of x?
Answer:
I would say 30
Reasoning:
Because that thing your looking at is 180% degree angle and the other side is 90%. x is small it seems to be acute and I think 2x is about 60%.
If im incorrect im terribly sorry but at least my answer wasnt bad like the 1st guys
The temperature in the freezer is -15°C. The temperature outside the freezer is 10°C. Find the difference between these two temperatures.
Is the answer 25? Just checking :)
Answer:
Yes it is 25
Step-by-step explanation:
10 - 25 = -15
-15 + 25 = 10
Find the value of x. X=?
Volume = 1500
Answer:
[tex]x=20[/tex]
Step-by-step explanation:
Solve the following equation for x:
[tex]1500=1/3(15)^{2} x[/tex]
My party started at 1:30 p.m.
It lasted 2 hours, 45 minutes.
What time did the party end?
Answer:
4:15
Step-by-step explanation:
add 2 hours that is 3:30
3:30 +30=4:00
and there oly 15 min left so
its 4:15
Triangle ABC has side lengths AB=25 units, BC=24 units, and AC=7 units. Triangle ABC is mapped to triangle A′B′C′ by a reflection across a horizontal line and translated left 12 units. What is the length of segment B′C′?
Answer:
C
Step-by-step explanation:
because yes so the 25 unit down 12 units up
A, B, C, D and E lie on the circle.
AB is extended to F.
Angle AED = 140° and angle CBF = 95º.
Find the values of w, x and y.
Step-by-step explanation:
it may hint for you by this you can go easily it change for me sorry
Question Find the cube root. -125 divided by 3
Answer:
First of all multiply 5 in three times