PLS HELP ITS A MAJOR GRADE AND DUE TOMORROW
A rental car company charges $55 plus $0.50 per mile to rent a car. Mt. Judd does not want to spend more than
%150 for his rental car. Write and solve an inequality to find how many miles he can drive and not spend more
than $150. Interpret/explain the solution.
Incorrect work/Solution
Identify and Explain Error
m = miles
0.5m < 150
0.5 0.5
m< 30
Mr. Judd can drive at least 50 miles.
Correct Work/ Solution
Share Strategy
Answers
Answer:
*See below*
Step-by-step explanation:
Identify and Explain Error
The method shown is using fractions to compare costs. This strategy does not work due to the fact that they have not factored in the $55 he pays for the car before hand. Also, 150 divided by 0.5 does not equal 30, it equals 300 so, even if he did not pay $55 beforehand, the equation is still incorrect.
Correct Work/Solution
$55 to rent
$0.50 per mile
Let's start by removing $55 from $150 to see how many dollars is left over for gas.
150 - 55 = 95
Then, divide 95 by 0.5
95 ÷ 0.5 = 190
He can drive at least 190 miles.
Share Strategy
Since he starts off paying $55 dollars out of $150, we need to subtract $55 by $150 to see how much cash he has left over for mileage. $150 minus $55 equals $95 so, he has $95 left over for mileage. $95 will then be divided by $0.50 to find out how many miles he can drive. We are dividing by $0.50 because that's the cost per mile. $95 divided by $0.50 equals 190 so he can drive at least 190 miles.
Note:
Hope this helps :)
Have a great day!
Related Questions
A group of friends is sharing 25 pounds of berries. Type the answer to each question in the boxes below. If each friend received of a pound of berries, how many friends are shar berries? 2 friends If 5 friends are sharing the berries, how many pounds of berries does each receive? pound(s)
Answers
72 is 45% of what number?
Answers
Answer:
160
Step-by-step explanation:
we have, 45%×x = 72
or, 45÷100×x = 72
multiplying both side by 100 and diving both side by 45,
we have x= 72×100÷45
x= 160 ANSWERPLEASEEEE HELP!DUE IN 1 HOUR! A housing contractor has subdivided a farm into 100 building lots. She has designed two types of homes for these lots: colonial and ranch style. A colonial requires $30,000 of capital and produces a profit of $3000 when sold. A ranch-style house requires $40,000 of capital and provides an $7000 profit. If the contractor has $3.8 million of capital on hand, how many houses of each type should she build for maximum profit?
Answers
Answer:
Step-by-step explanation:
A housing contractor has subdivided a farm into 100 building lots. She has designed two types of homes for these lots: colonial and ranch style. A colonial requires $30,000 of capital and produces a profit of $2000 when sold. A ranch-style house requires $40,000 of capital and provides an $8000 profit. If the contractor has $3.2 million of capital on hand, how many houses of each type should she build for maximum profit?
? colonials
? ranches
For maximum profit, the contractor should build 80 colonial houses and 20 ranch-style houses. The maximum profit achievable is $740,000.
Let x be the number of colonial houses built.
Let y be the number of ranch-style houses built.
Now, we can set up the objective function, which represents the total profit:
Total Profit (P) = 3000x + 7000y
The total cost of the houses built cannot exceed the available capital, which is $3.8 million (or $3,800,000):
30,000x + 40,000y ≤ 3,800,000
The number of building lots used cannot exceed the total number of lots available, which is 100:
x + y ≤ 100
Also, we need to consider that the number of houses (x and y) must be non-negative:
x ≥ 0
y ≥ 0
Now, we have the linear programming model with the objective function and constraints.
We need to find the values of x and y that maximize the total profit (P).
Graph the feasible region determined by the constraints (x + y ≤ 100, x ≥ 0, y ≥ 0, 30,000x + 40,000y ≤ 3,800,000), and then evaluate the objective function (P = 3000x + 7000y) at each corner point of the feasible region to find the maximum profit.
The feasible region is a polygon with vertices at the following points:
(0, 0)
(0, 95) (Intersection of x = 0 and y = 95)
(80, 20) (Intersection of x = 80 and y = 20)
(100, 0) (Intersection of x = 100 and y = 0)
Now, evaluate the objective function (P) at each corner point:
(0, 0): P = 0
(0, 95): P = 665,000
(80, 20): P = 740,000
(100, 0): P = 300,000
The maximum profit of $740,000 occurs when the contractor builds 80 colonial houses and 20 ranch-style houses
Hence, for maximum profit, the contractor should build 80 colonial houses and 20 ranch-style houses.
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Which statement below is TRUE about |-2| and |-5|?
|-5| is greater than |-2|
|-2| is greater than the |-5|
Neither statement is true
Answers
Answer:
|-5| is greater than |-2|
Step-by-step explanation:
the absolute value of -5, is 5, which is greater than the absolute value of -2, which is 2. Have a wonderful rest of your day! I hope this helps!
X- y = -7 slope intercept form
Answers
Answer:
[tex]y=x+7[/tex]
Step-by-step explanation:
Let's simply rearrange bringing y to the RHS, -7 to the LHS and reading right to left:
[tex]x+7=y \rightarrow y=x+7[/tex]
a room that needs to be tiled is 12 1/2 feet wide by 14 feet long. tiles that mesure 2x2 are $0.79 per tile. Tiles that measure 3x3 are 1.25 per tile. which size tile should be used for this project to save the most money? How many tiles would be needed? How much would you spend on them? HELP PLEASE!
Answers
Answer:
Step-by-step explanation:
Area of the room is 12.5(14) = 175 ft²
2x2 tiles are 4 ft²
175 /4 = 43.75 tiles so 44 will be needed
44($0.79) = $34.76
3x3 tiles are 9ft²
175/9 = 19.4444... so 20 will be needed
20($1.25) = $25.00
the larger tiles will cost $9.24 less than the smaller tiles.
Obviously some of the tiles will need to be cut to fit as the length and width of the room are not always a uniform number of tiles for either side.
From a hot-air balloon, Grayson measures a 29^{\circ} ∘ angle of depression to a landmark that’s 1004 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest hundredth of a foot if necessary.
Answers
The balloon’s vertical distance above the ground is 556 feet
The set up will form a right triangle.
Given the following parameters
Angle of depression = 29 degreesHorizontal distance = 1004 feetTo get the height above the ground, we will use the SOH CAH TOA identity as shown;
Opposite = h
Adjacent = 1004 feet
Tan theta = h/1004
Tan 29 = h/1004
h = 1004 tan 29
h = 1004(0.5543)
h = 556.52 feet
Hence the balloon’s vertical distance above the ground is 556 feet
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Convert 8 fluid ounces into milliliters. Round your answer to the nearest whole number.
Answers
Answer:
236.588 milliliters so the answer is 240
Step-by-step explanation:
for an approximate result, multiply the volume value by 29.574
Graph the line that passes through the points (2,−3) and (4, "-3)and" determine the equation of the line.
Answers
Answer:
y=-3x+3
Step-by-step explanation:
You plant 9 rows of different bulbs in a garden. For each row, you use the rule, “onion, onion, garlic, flower.” How many garlic and flower bulbs do you plant altogether? How many bulbs do you use in all?
Answers
Answer:
18; 36
Step-by-step explanation:
If there's 9 rows of "onion, onion, garlic, flower", then you repeat this cycle 9 times.
onion, onion, garlic, flower(1)
onion, onion, garlic, flower(2)
onion, onion, garlic, flower(3)
onion, onion, garlic, flower(4)
onion, onion, garlic, flower(5)
onion, onion, garlic, flower(6)
onion, onion, garlic, flower(7)
onion, onion, garlic, flower(8)
onion, onion, garlic, flower(9)
Add up the garlic and flower bulbs, which equals 18. Then add up all of the bulbs, which is 36.
-hope it helps
Victor buys5/8 kg of prawns each week. How many kilograms of prawns does he buy in 4 weeks?
Answers
Answer:
37/8
Step-by-step explanation:
5/8+32/8
5+32/8
37/8
Which of the following trinomials can be factored using the square of the difference?
NO LINKS!!
Answers
Answer:
d) 16x² -56x +49
Step-by-step explanation:
The square of a binomial difference will have the form ...
(ax -b)² = a²x² -2abx +b²
__
The sign of the linear term will be negative, which eliminates choices A and C.
The linear term will be double the product of the roots of the other two terms.
In choice B, the linear term has a factor of 5 that appears nowhere else, so that cannot be a perfect square.
Choice D factors as ...
16x² -56x +49 = (4x -7)² . . . . the square of a difference
A credit card company charges an annual simple interest rate of 24%. in august, your purchases totaled $956. How much will you pay for interest, if you pay off that debt in 2 years 3 months?
Answers
Answer:
83
I know because I did this problem a few years ago
Given f(x) = 21 - 1, complete the missing values in the table
Answers
Answer:
first one is f(x)=-5
second one is f(x)=7
third one is x=-3
4th one is x=0
5th one is f(x)=1
6th one is x=-4
Step-by-step explanation:
first one. plug in x as -2:
f(x)=2*-2-1=-4-1=-5
second one is the same way:
f(x)=4*2-1=8-1=7
third one is a different one:
2x-1=-7
2x=-6
x=-3
4th one is the same way:
2x-1=-1
2x=0
x=0
5th way is the same thing as previous:
f(x)=2*1-1=2-1=1
Finally, the 6th one is the same thing as the 4th one:
2x-1=-9
2x=-8
x=-4
Done!
There are 40 students in your class of which 23 are boys. What fraction of the students are girls?
Answers
Answer:17/23
Step-by-step explanation:
Answer: 17/40 of the students are girls.
Step-by-step explanation:
First, to find the number of girls in the class, we can subtract the number of boys (23) from the total number of students (40) to get:
40 - 23 = 17
There are 17 girls in the class.
Finally, to get the fraction of the girl students of the class, we can divide the number of girls (17) by the total number of students (40) to get:
17 ÷ 40 = [tex]\frac{17}{40}[/tex]
Since the fraction [tex]\frac{17}{40}[/tex] is already simplified, the final answer comes out to be [tex]\frac{17}{40}[/tex].
Kendall tracked the amount of water his windowsill plant needed each week over ten weeks. Her data is shown below.
Which of the following is true?
A.
There is a negative association between the number of weeks and the ounces of water the plant needed.
B.
There is a positive association between the number of weeks and the ounces of water the plant needed.
C.
There is no association between the number of weeks and the ounces of water the plant needed.
D.
There is both a positive and negative association between the number of weeks and the ounces of water the plant needed.
Answers
Answer:
Perfort the indicated operation Show your solution in
the gevin below
clothing store sells t shirt in only three colors red blue green the colors are in the ratio of 3:4:5 if the store has a total of 60 how many blue t shirt
Answers
Answer:
Step-by-step explanation:
red/blue = 3/4 and you get blue/green = 4/5
= 60/4 = 15
you have 15 red shirts, 20 blue shirts, and 25 green shirts.
15/20 = 3/4
20/25 = 4/5
if you simplify 15/20, you will see that it is equivalent to 3/4
if you simplify 20/25, you will see that it is equivalent to 4/5.
Suppose there is a 1.4 drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 52.8, what will be the temperature when the plane reaches an altitude of 11,000?
Answers
Answer:
37.4
Step-by-step explanation:
1.4 times 11 and subtract that from 52.8
An auditorium has 72 rows of seats. The first row contains 70 seats. As you move to the rear of the auditorium, each row has 2 more seats than the previous row. How many seats are in the 24 th row
Answers
The number of seats on the 24th row is 3220.
The number of chairs in the 24th row is a function of the rate at which the chairs increase and the number of rows. The formula that can be used to determine the number of seats on the 24th row is:
P x [r x (n - 1)]
Where:
P = number of seats on the first row = 72r = rate of growth of the seats = 2n = number of the row = 2470 x [2x (24 - 1)]
70 x (2 x 23)
= 70 x 46
= 3220
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Consider the equation of a circle x^{2} -2x + y^{2} - 4y - 4 = 0 if the line 2x - y + a = 0 is its diameter. then find the value of a?
Answers
Answer:
Step-by-step explanation:
Find the centre first by reoriganisation it into the form (x - cx)^2 + (y -cy)^2 = r^2
x^2 + y^2 + 6x -6y +5 = 0
(x + 3)^2 - 9 + (y - 3)^2 - 9 + 5 = 0
(x + 3)^2 + (y - 3)^2 = 13
The radius does not matter the centre is ( -3, +3)
The diameter must pass through the center so substituting into the equation for the line
2x-y+a = 0
-6 -3 + a = 0 so a = 9
The value of 'a' is 0 and this can be determined by using the standard form of the equation of a circle.
Given :
Equation of a Circle -- [tex]x^2-2x+y^2-4y-4=0[/tex]
Equation of a Line -- 2x - y + a = 0
The following steps can be used in order to determine the value of 'a':
Step 1 - First make the equation of a circle in standard form.
[tex]x^2-2x+y^2-4y-4=0[/tex]
[tex](x-1)^2-1+(y-2)^2-4-4=0[/tex]
[tex](x-1)^2+(y-2)^2 = 3^2[/tex]
Step 2 - From the above step, it can be concluded that the center of the circle is (1,2).
Step 3 - If (1,2) is the center of the circle then it also satisfies the equation of diameter (2x - y + a = 0).
2x - y + a = 0
2(1) - 2 + a = 0
a = 0
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1) Solve 3x 8-6. Graph the solution.
A)
B)
C)
D)
Answers
Answer: negative 2 arrow to the left
Step-by-step explanation:
I need help asap! Pls :)
Answers
Answer:
x = 18
Step-by-step explanation:
Find the quotient. If possible, rename the quotient as a mixed number or a whole number. Write your answer in the simplest form
3/4 divided by 3
Answers
Step-by-step explanation:
3/4 ÷ 3
recall that the inverse of division is multiplication
=3/4 x 1/3
=1/4
Pls help I’m failing do it on paper and put it in the answer box
Answers
Step-by-step explanation:
there is no mathematical problem to solve.
just follow the instructions as given.
this is an exercise for you to get a feeling about what is what. it is imperative that you do it.
there is really nothing to solve.
remember, that a positive slope means the line goes up (from left to right), and a negative slope means the line goes down (again from left to right).
and I am sure you know what vertical and horizontal means.
An M&Ms factory produces 109,500,000 M&M’s every day. About 1/5 of its M&Ms are yellow. Find the number of yellow M&M’s produced at this factory
Answers
Answer:
It's not possible to answer precisely. About 1/5 of 109,500,000 is equal to about 109,500,000*.2 which is about 21,900,000.
Step-by-step explanation:
The first thing to note is that the amount of yellow M&Ms isn't precisely 1/5th. It's about 1/5th.
So, applying the math, 109,500,000 times 1 and divided by 5 = 21,900,000, but that's not the answer, because of the uncertainty.
The answer has to be "about 21,900,000."
2/8 and 1/2 write < or >
Answers
Answer:
0.5 > 0.25
Step-by-step explanation:
2/8 = 1/4 = 0.25
1/2 = 0.5
Answer:
<
Step-by-step explanation:
1/2 equals more than 2/8.
Because if u simplify 2/8 it would equal 1/4 which is less than 1/2.
Volume of the pedestal box
Answers
Answer:
112 in.³
Step-by-step explanation:
This box is a combination of two rectangular prisms:
bottom - 9 in. by 2 in. by 4 in.
top - 5 in. by 2 in. by 4 in.
total volume = 9 in. × 2 in. × 4 in. + 5 in. × 2 in. × 4 in.
total volume = 112 in.³
Answer:
its 112
Step-by-step explanation:
first see how it looks like 2 boxes on top of each other, break it into major parts then multiply depth by wighth by highth
What’s the answer to the equation
Answers
Answer:
To solve an equation is to determine the values of the variable that make the equation a true statement. Any number that makes the equation true is called a solution of the equation. It is the answer to the puzzle!
what is y=2x+3 y=−3x+3
Answers
Step-by-step explanation:
equate the two equations
A city's population is increasing at a rate of 2% per year.
If this rate of growth remains the same and the population is 2 million in the year 2014, approximately how many people will there be after 20 years?
a.)
2.02 million
b.)
2.88 million
c.)
2.14 million
d.)
2.97 million
Answers
Based on the information the number of people that will there after 20 years is: d.) 2.97 million.
Using this formula
P(t) = Population ×(1+ rate)^t
Where:
Population=2 million
rate=2%
time=20 years
Let plug in the formula
P(t) = 2×(1+.02)^20
P(t) = 2×(1.02)^20
P(t) = 2×1.485947
P(t) = 2.97 million
Inconclusion the number of people that will there after 20 years is: d.) 2.97 million.
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