Answer:
Part A: [tex].50x+120 = .70x+80[/tex]
Part B: [tex]200[/tex] miles
Step-by-step explanation:
So to start, we need to put this information into slope-intercept form. Slope intercept form is [tex]y=mx+b[/tex] where [tex]m[/tex] represents the slope of a line and [tex]b[/tex] represents the y-intercept. In this question [tex]y[/tex] represents the total cost of the rental, [tex]x[/tex] represents the number of miles driven, [tex]m[/tex] represents the price per mile, and [tex]b[/tex] represents the base price of the rental. Now that we know the variables, we need to plug in the information we have.
Since we know that company A charges $125 a day and $0.50 per mile we would have [tex]y=.50x+120[/tex]
Since we know that company B charges $80 a day and $0.70 per mile we would have [tex]y=.70x+80[/tex]
Now that we have two equations we can move onto the next step. We're looking to know the number of miles ([tex]x[/tex]) that would make the total cost ([tex]y[/tex]) equal. To do this we can make the equations equal each other since we know that [tex]y[/tex] will be the same.
Written out, the equation will look like this: [tex].50x+120 = .70x+80[/tex]
Now, we are trying to find [tex]x[/tex] so we need to isolate the variable.
To start we need to put [tex]x[/tex] on the same side so we'll subtract [tex].70x[/tex] from both sides to get [tex]-.20x+120=80[/tex]
Next, we'll subtract [tex]120[/tex] from both sides of the equation to get [tex]-.20x=-40[/tex]
Finally, we'll divide both sides by [tex]-.20[/tex] to get [tex]x=200[/tex]
This means that at [tex]200[/tex] miles, both companies will cost the same amount.
HELP PLEASE math isn’t really my thing at it’s due an hour
solve the following equasion -9 = r/4
a. r = 36
b. r = 13
c. r = 9/4
b. r = -36
Answer:
r=-36
Step-by-step explanation:
41= 5x+17-3x need please
Answer:
[tex]{\huge{\pink{\underline{\underline{Solution}}}}}[/tex]
41=5x+17-3x
41=5x-3x+17
41=2x+17
41-21=2x
2x=20
[tex]x= \frac{20}{2} [/tex]
Hence,value of x=10
Hope it will help you ☺☺✌✌
HELP PLEASE! I WILL MAKE BRAINLIST
Answer:
true
Step-by-step explanation:
Answer:
Step-by-step explanation:
the answear is true because it is strait line and also it equales (y=x+2)
Please help I’ll mark brainliest
8 waffle makers cost $200. If the waffle makers all cost the same amount, how much does each waffle maker cost?
Answer:
$25
Step-by-step explanation:
divide 200 by 8 to get the unit rate, or what a single waffle maker costs.
Answer:
Each waffle maker is $25.
Step-by-step explanation:
First set up an equation here mine would be:
200=8c (c being cost)
Next get c alone, so divide each side by 8. That gives you:
c=200/8
Simplify.
c=25
So the cost of each waffle maker is $25.
please help!! will mark as brainliest!
Presley has to clean her 40-gallon fish tank. Her first step is to drain the tank. Using a hose and a
siphon, she finds that she can drain 16 gallons of water per hour.
Presley writes the equation 40 - 16x = 0, where x is the number of hours, to determine how many
hours it will take to drain the tank.
The next step Presley wrote to solve the equation is shown here:
40 = 16x
Which property did she use to get to this step?
a.) addition property of equality
b.) multiplication property of equality
c.) distributive property of equality
d.) combining like terms
Answer: The answer is A.addition property of equality
Hope I helped
Pkease mark me as brainliest!
A Boy Scout troop is selling Christmas trees at a local tree lot in the morning they sold 11 Douglas fir trees and nine noble fir trees turning a total of $1006 in the afternoon they sold 14 Douglas fir trees and nine noble fir trees turning a total of $1111 how much do the Douglasfir trees cost
Answer:
$35
Step-by-step explanation:
Let x represent the price of Douglas fir trees and y represent the noble fir trees
11x + 9y= 1006........equation 1
14x + 9y= 1111.........equation 2
Multiply equation 1 by 14 and equation 2 by 11
154x + 126y= 14,084
-
154x + 99 y= 12,221
27y= 1863
Divide both sides by the coefficient of y which is 27
27y/27 = 1863/27
y= 69
Substitute 69 for y in equation 1
11x + 9y= 1006
11x + 9(69) = 1006
11x + 621= 1006
11x = 1006 -621
11x = 385
x = 385/11
x = 35
Hence the Douglas fir free costs $35
Founder's Park is planning to add a slide. The scaled model gives the reduced measures. A slide has a width of 3.5 inches and height of 3 inches. The park has space for the base of the slide to be 7-feet wide. To keep the slide proportional to the model, what will the height of the slide be? The slide will have a height of feet.
Answer: The slide will have a height of 6 feet.
Step-by-step explanation:
Given: A slide has a width of 3.5 inches and height of 3 inches.
For required slide , width = 7 feet]
To keep the slide proportional to the model,
[tex]\dfrac{\text{height of the required slide}}{\text{height of the slide }}=\dfrac{\text{width of required slide}}{\text{width of slide}}[/tex]
[tex]\Rightarrow\ \dfrac{\text{height of the required slide}}{3}=\dfrac{7}{3.5}\\\\\Rightarrow\ \dfrac{\text{height of the required slide}}{3}=2\\\\\Rightarrow\ \text{height of the required slide}=3\times2 =6\ \text{feet}[/tex]
hence, the slide will have a height of 6 feet.
Answer:
The slide will have a height of 6 feet.
Step-by-step explanation:
i got it right
The solution to 9(x + 2) = 5 - 2(x - 1) is
Answer:
x = -1
Step-by-step explanation:
9(x + 2) = 5 - 2(x - 1)
9x + 18 = 5 -2x + 2
9x + 18 = -2x + 7
Add 2x and 9x. Subtract 18 from 7.
11x = -11
x = -1
Please mark me the brainliest!?!
Pleaseee helpppppp
————————————————-
Answer:
i'm pretty sure s the second one. that answer just makes the most sense to me
Step-by-step explanation:
Ming works at a travel agency. Her base monthly salary is $1,750 plus 8% commission on her total sales for the year. Last year Ming sold $478,500 of travel. How much did ming earn, including commission, last year?
Answer:
59,280
Step-by-step explanation:
$1750x12months=$21,000 base sal.
478,500x.08=38,280 commiss.
21,000+38,280=59280
The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers.
Ming earn, including commission, last year exists 59280.
What is meant by mathematical operation?Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers. In mathematics, addition, subtraction, multiplication, division, and modular forms are the five basic operations.
Calculations in mathematics are done using arithmetic operators. A property or variable can be given a value using assignment operators. Text, dates, systems, times, and numeric assignment operators are all possible.
Given: Her annual sales commission is 8% of her base monthly salary, which is $1,750. Ming made $478,500 in travel sales last year.
From the given information, we get
$21,000 base salary = $1750 × 12 months.
478,500 × 0.08 = 38,280 commissions.
simplifying the above equation, we get
21,000 + 38,280 = 59280
Therefore, Ming earn, including commission, last year exists 59280.
To learn more about commission refer to:
brainly.com/question/957886
#SPJ2
Steve is paid overtime for all time worked past 40 hours in a week. His regular-time pay rate is $12 an hour, and his overtime pay rate is $18 an hour. Last week Steve worked 47.3 hours. 1. How many regular-time hours did Steve work? 2. How many overtime hours did he work last week? 3. What was Steve's regular-time pay last week? 4. What was Steve's gross or total pay last week?
Answer:1. 40 hours 2).7.3 hours, 3).$480 4).$611.4
Step-by-step explanation:
STEP 1
stating all requirements
regular hour = 40 hours at $12 an hour
overtime = beyond 40 hours at $18 an hour
Step 2--- Solving out
1. Steve worked 40 regular time hours
2. Over time hours =Total 47.3 hours - 40 regular time hours = 7.3 hours
3. Regular time pay = Regular tmes hours x regular time pay rate
= 40 x $12 =$480
4) Steve gross pay = Regular time pay + overtime pay
= $480 + ( 7.3 hours x $18)
=$480+$131.4
=$611.4
Carly jogged 1/2 mile in 1/10 of an hour. At this rate, how long does she jog in one mile?
Answer:
2/10 of an hour for 1 mile
Step-by-step explanation:
1/2 for 1/10 since its half all you have to do is multiply by 2 then you got 2/2 and 2/10
Hope this helped!
Please help me out!
Answer:
x = 2/3
Step-by-step explanation:
Lets solve your equation step-by-step.
x−10=−2(x+4)
Step 1: Simplify both sides of the equation.
x−10=−2(x+4)
x+−10=(−2)(x)+(−2)(4)(Distribute)
x+−10=−2x+−8
x−10=−2x−8
Step 2: Add 2x to both sides.
x−10+2x=−2x−8+2x
3x−10=−8
Step 3: Add 10 to both sides.
3x−10+10=−8+10
3x=2
Step 4: Divide both sides by 3.
3x / 3 = 2/3
x=2/3
What type of graph is best to use to compare two sets of data over time?
Answer:
Line graphs.
Step-by-step explanation:
If you have two sets of data, the easiest graph to use would be a line graph. You can insert information and tell which line represents each category. Line graphs are also specifically used to compare data that changes over time.
I hope this helped you out!! Have a nice day :3
Answer:
line graphs
Step-by-step explanation:
i got 100
What is 1/2n to the three place value
A. 1.571
B. 1.570
C. 6.284
Answer:
b
Step-by-step explanation:
Please help me out with this..
Answer:
y=-3x+3
Step-by-step explanation:
The equation you want to use is y=mx+b. First you want to find m, the slope, but since the slope of 3 is given in all of the answers, you just want to determine if the line is negative or positive. This line is going negative because it approaches the x axis, and crosses it in the negative direction. Now we know the slope is -3x all that's left to do is to find the y intercept represented in the equation y=mx+b as +b. The point where the line crosses the y axis is positive 3, so the final equation is y=-3x+3.
What is the range of the given function?
{(-2, 0), 6-4, -3), (2, -9), (0, 5), (-5, 7)}
SOMEONE HELP ME PLSSSSSS
Answer:
1. B) 2. D)
Step-by-step explanation:
Yuh
An engineer is designing a runway for an airport. Several planes will use the runway and the engineer must design it so that it is long enough for the largest planes to become airborne before the runway ends. If the largest place accelerates at 3.30 m/s^2 and has a takeoff speed of 88.0 m/s then what is the minimum allowed length for the runway?
Answer:
d=117.33 m
Step-by-step explanation:
Initial velocity of planes, u = 0 (because they are at rest)
Acceleration, a = 3.3 m/s²
Final take off speed, v = 88 m/s
We need to find the minimum allowed length for the runway. Let it is d. d will be the distance. It can be calculated using third equation of motion as follows :
[tex]v^2-u^2=2ad\\\\d=\dfrac{v^2-u^2}{2a}[/tex]
Putting all the values, we get :
[tex]d=\dfrac{88^2-0^2}{2\times 33}\\\\d=117.34\ m[/tex]
Hence, the minimum allowed length for the runway is 117.33 m.
complete the multiplication problem to find the answer 36.1 times 1.1
Answer:
39.71
Step-by-step explanation
1 x 36.1 = 36.1, 3.61 + 36.1 = 39.71.
36.1 times 1.1 = 39.71
hope this helps!! <3
Which relation is a function?
Answer:
b
Step-by-step explanation:
The table shows what time the sunrise and
sunset occurred on dates in October. Based
on the data, what is the total number of
minutes of daylight recorded across these
dates?
Answer:
There are 2,802 minutes of daylight recorded across these dates.
Step-by-step explanation:
Elapsed Time
Elapsed time is the amount of time that passes from the start of an event to its finish.
We have to recall 1 hour has 60 minutes. Another useful fact is that from a specific time AM to the same time PM there are 12 hours or 720 minutes.
Let's find the minutes of daylight recorded day by day.
Oct, 4th:
From 7:26 am to 7:26 pm there are 720 minutes. Since the sunset time is 13 minutes less, the minutes of daylight are 720 - 13 = 707 minutes.
Oct, 6th:
From 7:27 am to 7:27 pm there are 720 minutes. Since the sunset time is 18 minutes less, the minutes of daylight are 720 - 18 = 702 minutes.
Oct, 8th:
From 7:28 am to 7:28 pm there are 720 minutes. Since the sunset time is 21 minutes less, the minutes of daylight are 720 - 21 = 699 minutes.
Oct, 10th:
From 7:30 am to 7:30 pm there are 720 minutes. Since the sunset time is 26 minutes less, the minutes of daylight are 720 - 26 = 694 minutes.
The total minutes of daylight is 707 + 702 + 699 + 694 = 2,802 minutes
There are 2,802 minutes of daylight recorded across these dates.
Which point results when the point (−100, −100) is rotated 180° around the point (100, 100)? A) (200, 200) B) (300, 300) C) (−200, −200) D) (−300, −300) E) None of these.
Answer:
answer: A
Step-by-step explanation:
-100 -100, rotated by 180 would be the opposite, 100 100
Answer:
A
Step-by-step explanation:
Find the 22nd term of the arithmetic sequence whose common difference is d=2 and first term is a1 = -25
Answer:
17
Step-by-step explanation:
an=a1+(n-1)d
a22=-25+21(2)
a22=17
Answer:
Hello
a=-25
d=2
a22=a+(n-1)d
=-25+(22-1)2
=-25+(21)2
=-25+42
=17
Step-by-step explanation:
Find the length of the unknown side. Round your answer to the nearest whole number.
Image of a right triangle with legs labeled 5 inches each and hypotenuse unknown.
Group of answer choices
A. 7 inches
B. 10 inches
C. 25 inches
D. 50 inches
Answer:
A. 7
Step-by-step explanation:
5^2+5^2=c62
25+25=c^2
50=c^2
7=c
Answer:
A
Step-by-step explanation:
c=√a²+b²=√5²+5²≈7.07107
3.
Ms. Bringas went to staples to buy hand sanitizer. They were $1 each. She
purchased 24 bottles. She got a teacher discount of 10% what was her final price?
Original Cost:
Discount:
New Price:
F(x) = x^2 and g(x) = 2x-3 What is the value of g(4) + f(-3)?
Answer: 66
Step-by-step explanation:see attachment.
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Give an example of a balance that has a greater integer value than a balance of -$12, but represents a debt of less than $5.
Answer:
An example of a balance that has a greater integer value than a balance of -$12, but represents a debt of less than $5 is any integer belongs to [-6,-11]
Step-by-step explanation:
Let x be the balance that has a greater integer value than a balance of -$12, but represents a debt of less than $5.
We are given that a balance that has a greater integer value than a balance of -$12
So, x>-12
We are given that balance represents a debt of less than $5.
Debt = -5
So, x< -5
So, -5>x>-12
So, x∈[-6,-11]
Hence an example of a balance that has a greater integer value than a balance of -$12, but represents a debt of less than $5 is any integer belongs to [-6,-11]