the solution for which of the following requires use of absolute value?
a: At a school fundraiser, students washed twenty cars for 5$ per vehicle. Each driver donated and additional $3-$5. How much money was raised.
b: A local merchant donates 10% of her sales on the first day of each month to a local cause. if her annual donations total $1500 what is her average daily sales?
c: If gas cost $3.50 per gallon, how much did Celia pay to fill her tank with 8.2 gallons?
d: Marissa ran a half marathon (about 13.1 miles) in 2 hours and 4 minutes. what was her speed?

Answers

Answer 1

Part a) At a school fundraiser, students washed twenty cars for 5$ per vehicle. Each driver donated and additional $3-$5. How much money was raised.

we know that

raised money=total vehicle*[$5+absolute value($3-$5)]
raised money=20*[$5+absolute value(-2)]
raised money=20*[$7]
raised money=$140
the answer Part a) is $140

Part b)A local merchant donates 10% of her sales on the first day of each month to a local cause. if her annual donations total $1500 what is her average daily sales?

step 1
divide $1500 by 12
1500/12=$125/month

if $125 is ------------> 10%
x------------------> 100%
x=100*125/10-----> x=$1250

the answer Part b) is $1250

Part c)If gas cost $3.50 per gallon, how much did Celia pay to fill her tank with 8.2 gallons?

multiply $3.50 by 8.2 gallons
3.5*8.2=$28.7

the answer Part c) is $28.7

Part d) Marissa ran a half marathon (about 13.1 miles) in 2 hours and 4 minutes. what was her speed?

we know that
speed=distance /time
distance=13.1 miles
time=2 hours and 4 minutes----> 2+(4/60)---> 2.07 hour
time=2 hours and 4 minutes----> 2*60+(4)---> 124 minutes
speed=13.1/2.07----> 6.33 miles/hour
speed=13.1/124----> 0.106 miles/minutes

the answer part d) is 6.33 miles/hour or 0.106 miles/minutes

The solution to problem a) requires the use of absolute value

Answer 2

Answers
a). Minimum =$160
Maximum =$200
b). $410.96
c). $28.7
d). 0.105645161 miles per minute.

Explanation a.
For the first statements (a) there would be no absolute value. It is a range.
There are 20 vehicles, each washed at $5.
$5×20=$100
If there are 20 vehicles then there are 20 drivers.
$3×20=$60 or $5×20=#100
Total amount of money raised
(60+100) to (100+100)
Minimum =$160
Maximum =$200

Explanation b
Let x be her daily sales. There are 365 days in one year.
Donation for one day = 10% of x = 0.01x
Donation for 1 year =0.01x×365=3.65x
3.65x=1500
x=410.96
Donation for 1 day = $410.96

Explanation c.
Cost of 1 gallon = $3.50
Cost of 8.2 gallon = $3.50×8.2=$28.7

Explanation d.
Marissa runs 13.1 miles in 2 hours and 4 minutes
That is to say that she runs 13.1 miles in ((2×60)+4) minutes.
((2×60)+4)=124 minutes.
speed=distance/(time taken)
speed=13.1/124=0.105645161 miles per minute.

Related Questions

a map is drawn with a centimeter representing 25 Miles. if the distance between two towns ia 3 centimeters on the map, what is the actual distance between the two towns?

Answers

25 miles * 3 cm= 75 miles

The answer is 75.
1cm=25miles
3cm=xmiles
Cross multiply to get x=75miles

PLEASE HELP ME PLSSSSSSSSSSSSS

The scatter plot below shows the number of pizzas sold during weeks when different numbers of coupons were issued. The equation represents the linear model for this data. y = 3.4x + 43

According to the model, what is the average number of pizzas sold in one night if no coupons are issued?

Question 5 options:

A 43

B 0

C 11

D 21

Answers

the answer wolud be 43 good luck

Answer:

option: A is correct.

Step-by-step explanation:

We are asked to find the average number of pizzas sold in one night if no coupons are issued.

i.e. we have to find the value of y such that x=0 i.e. no coupon was issued.

We are given a equation which represents the linear model for this data:

y = 3.4x + 43

where y denotes the average number of pizza sold and x denotes the number of coupons issued.

Hence when x=0 we have value of y from the above linear equation as:

y=3.4×0+43=0+43=43

i.e. y=43.

Hence, average number of pizzas sold in one night if no coupons are issued are 43.

Between which two consecutive integers does ???147 lie?

A.
146 and 148

B.
12 and 13

C.
11 and 12

D.
10 and 11

Answers

If those question marks are supposed to be a radical, then 12 and 13. The square root of 147= 12.12, which puts it between 12 and 13.

The consecutive numbers where the square root of 147 will lie are between 12 and 13.

Consecutive numbers simply mean the numbers that follow each other. Examples of consecutive numbers are 2,3, 4.

It should be noted that the square root of 147 is 12.12. Therefore, 12.12 can be found between 12 and 13. In conclusion, the numbers will be 12 and 13.

Answers

To solve this conversion factor problem we are going to multiply our original quantity 800hm by conversion factors (expressed as fractions) in order to cancel units until we get centimeters:
We know that 1 hectometer= 100 meters, so our first conversion factor expressed as a fraction is [tex] \frac{100m}{1hm} [/tex]
We also now that 1 meter = 100 centimeters, so our second one is [tex] \frac{100cm}{1m} [/tex]

Now that we have our fractions, lets multiply our original quantity by them to get our answer in the required units:
[tex]800hm( \frac{100m}{1hm} )( \frac{100cm}{1m})=8000000cm [/tex]

We can conclude that 800hm are 8,000,000cm

Answer:

Exactly what they said (the answer is i bold at the bottom)

Step-by-step explanation:

Need answers please:)

Answers

9a^3b^4 I think

Not sure...

Prove it is rational by writing it as a quotient of two integers. Please answer these problems, I need to check my answers. Ignore the blank ones, I was able to check them. Thank you!
1. 2.4

2. 74

3. 17.3333333…

4. π

5.

6. –18

7.

8. 87.125

9. –30

10. –8.3

11. 58.25

12. 121

13. 4.5

14.

Answers

1. 2.4 = 24/10

2. 74 = 74/1

3. 17.3333333… = 52/3

4. π - not rational

6. –18 = -18/1

8. 87.125 = 87125/1000

9. –30 = -30/1

10. –8.3 = -83/10

11. 58.25 = 5825/100

12. 121 = 121/1

13. 4.5 = 45/10

Most of the decimals can be reduced to lower terms by removing at least one factor of 2 or 5. If all you want is a ratio of integers, that is irrelevant.

in a first aid kit the ratio of large bandages to small bandages is 5 to 2. Based on this ratio, how many large bandages are in the kit if there are total of 60 bandages?

Answers

The best way to answer this question is to set up the first sentence as a ratio of large bandages to total bandages. You would write 5 large bandages to 7 total bandages to 7 total bandages. Then you would make this equivalent to x number of large bandages to 60 total. It would look like this 5:7 = x:60. You could use cross products to multiply 60 by 5 to get 300. 7 times x also should equal 300. Unfortunately, this example will not leave us with a whole number of bandages, but 300/7 is a repeating decimal or a mixed number (42 6/7 large bandages).

A bag contains 30 cookies: 6 vanilla, 12 chocolate, and 12 oatmeal. What is the probability that an oatmeal is randomly selected?
A) 1/4

B) 1/5

C) 1/6

D) 2/5

Answers

Option: (D). The Probability that an oatmeal is randomly selected is 2/5.

What is Probability?

Probability is Possibility. Probability deals with" an occurrence of an Random event. It values varies from 0 to 1".

According to the question,

Number of vanilla = 6

Number of chocolate = 12

Number of Oatmeal = 12

Formula for Probability of an event to occur P(E) = [tex]\frac{Number of favourable event}{Total Number of an event}[/tex]T.

Total number of an Outcomes = 30

P(E) = [tex]\frac{12}{30}[/tex]

=[tex]\frac{2}{5}[/tex]

Hence, The Probability that an oatmeal is randomly selected is 2/5.

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The probability of selecting an oatmeal cookie from a bag of 30 cookies (6 vanilla, 12 chocolate, and 12 oatmeal) is 2/5, which is answer choice D.

The student's question involves calculating the probability of selecting an oatmeal cookie from a bag containing multiple types of cookies. The total number of cookies is 30, comprising 6 vanilla, 12 chocolate, and 12 oatmeal cookies. To find the probability of selecting an oatmeal cookie, we use the formula:

Probability (selecting an oatmeal cookie) = Number of oatmeal cookies / Total number of cookies.

This gives us:

Probability (selecting an oatmeal cookie) = 12 / 30 = 2 / 5

So, the probability that an oatmeal cookie is randomly selected is 2/5, which corresponds to answer choice D.

Suppose the population of a town is 15,200 and is growing 2% each year. Write an equation to model the population growth. Predict the population after 10 years. y = 15,200 ∙ 2x; about 15,564,800 people y = 2 ∙ 15,200x; about 304,000 people y = 15,200 ∙ 1.02x; about 18,529 people y = 15,200 ∙ 2x; about 18,529 people

Answers

For this case, what you need to know is that to model this problem, you must use equations of the potential type:
y = A * (b) ^ t
Where:
A: initial population.
b: growth rate.
t: time.
Substituting values we have:
y = 15200 * (1.02) ^ t
After 10 years we have:
y = 15200 * (1.02) ^ 10
y = 18529
Answer:
An equation to model of the population growth is:
y = 15,200 ∙ 1.02 ^ x
the population after 10 years is:
about 18,529

HELP THIS IS URGENT HELLPP

Answers

Ok, so the key says 1cm=10mm. So you do 25x10=250cm, then do 250(the fish)-25(the guinea pig)= 225cm

I need help with my assignments on these two questions

Answers

a. Using properties of exponents, the value of the expression is 10⁰

b. The equation has no solution

What are properties of exponents?

a. Properties of exponents are mathematical rules that allow us to simplify and manipulate expressions involving exponents. These properties help us perform operations such as multiplication, division, and raising to a power more efficiently.

In the given problem, we have to solve and simplify using properties of exponents.

Given that; [tex]\frac{10^-^3}{10^-^3}[/tex];

we can apply quotient rule when dividing exponents here;

[tex]\frac{10^-^3}{10^-^3} = 10^-^3 ^+^3 = 10^0[/tex]

The answer is 10⁰

b. To simply the equation, we just need to use basic mathematical operation to find the value of x.

3x - 2x + 4 = 5x - 4x - 8

Simplify;

x + 4 = x - 8

Collect like terms

x - x = -8 - 4

0 = -12

No solution

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HELP WILL MARK BRAINLIEST!!!!!!!!!!!Cindy has to write an 18-page report. If she has written 1/3 of a report so far, how many pages has she written?
A. 4 pages
B. 6 pages
C. 8 pages
D. 9 pages

Answers

18

1/3 of 18 = 6

Cindy has written 6 pages of her report so far.

Also: This means she has 12 pages left.

18/3=6
6 x 1= 6

The answer is 6 pages, or B.

what is the mean median and mode

Answers

mean-the average of numbers
to calculate add all the numbers and divide by how many numbers there are
4,600,000+4,500,000+4,000,000+4,600,000+10,200,000 and since there are 5 numbers divide that by 5

median-find the middle number
put numbers in order from least to greater and find the number in the middle
4,000,000x 4,500,000x 4,600,000 4,600,000 10,200,000x so your answer should be 4,600,000

mode-if a number appears more than once
4,600,000

o decorate his bedroom, Mike spent $41.64 on new bedding, $36.84 on paint, and $72.49 on accessories. About how much did he spend to decorate his bedroom?

Answers

He spent 150.97 hope this helps :) have a good day

Answer:

Mike spent $150 on his decorations.

Step-by-step explanation:

In order to find the amount of money Mike spent on his decorations you must add all the costs together.

$41.64 + $36.84= $78.48

$78.48 + $72.49= $150.97

Then you round 150.97 to 151, which is also close to 150.

Hope this helps :)

find two consecutive odd integers such that 36 more than the lesser is three times the greater

Answers

Two consecutive odd integers means there's a difference of 2 between the numbers. More than the lesser is adding to the lower integer (x). The greater is the larger integer (x+2). "Is" means equals. Times means multiply.

x= first integer
x+2= second integer

x + 36= 3(x + 2)
multiply 3 by everything in parentheses
x + 36= 3x + 6
subtract x from both sides
36= 2x + 6
subtract 6 from both sides
30= 2x
divide both sides by 2
15= x

x= 15 first consecutive odd integer

x+2= second consecutive odd integer
15+2= 17

ANSWER: 15, 17

Hope this helps! :)

Final answer:

To find two consecutive odd integers such that 36 more than the lesser is three times the greater, set up an equation and solve for the variable x. The two consecutive odd integers are 15 and 17.

Explanation:

To find two consecutive odd integers such that 36 more than the lesser is three times the greater, we can set up an equation:

x + 36 = 3(x + 2)

Simplifying this equation, we get:

x + 36 = 3x + 6

Subtracting x from both sides, we get:

36 = 2x + 6

Subtracting 6 from both sides, we get:

30 = 2x

Dividing both sides by 2, we get:

15 = x

Therefore, the two consecutive odd integers are 15 and 17.

What value of k makes the equation true?

a.2
b.3
c.4
d.8

Answers

your answer would be c

Its C. 4

Correct on edge :D

Trent is fishing from a pier. ●The tip of his fishing rod is 53 ¾ feet above the surface of the water. ●The hook on the end of the fishing line is directly below the tip of the fishing rod 12 ⅔ feet below the surface of the water. Trent estimates that the distance between the tip of his fishing rod and the hook is less than 65 feet. Is Trent’s estimate reasonable? Explain your answer. HELP Please

Answers

I would say yes and no because estimations aren't exact, they're close to the correct value. Trent's estimation is correct since 53+12=65, if we were looking for the exact distance, Trent would be wrong because there are fractions too, so the exact value would be 66 (5/12) or 65 (17/12).

Hope this helped :)

Make a conjecture about the position, size and shape of a figure if a composition of transformation included a dilation

Answers

If a dilation is included, then there should be a different size in the image as well as a reasonable scale factor.

Write a real-world problem that can be represented by a rule and a table using division

Answers

A company makes different size square containers. How can you find the length of each side if you know the perimeter of each of the containers? Represent your answer in a table, and right and equation that shows the rule used. You would write the equation x/4=y. I would create an input/output table with the labels x and y. I would then write various lengths for the perimeters and use the rule of dividing by 4 to find the y values.

(80z) to the 3/4 power

Answers

[tex] 80z^{3/4} [/tex] is also equal to 80[tex] \sqrt[4]{z^{3}} [/tex] then simplify

NEED HELP ASAP 20 POINTS

A drama club is planning a bus trip to New York City to see a Broadway play. The table represents the cost per person for the bus rental compared to the number of people going on the trip. What function models the data, and how much per person will it cost if 12 students go on the trip?

TABLE BELOW
Number of Students (n) 3 6 9 16
Cost per Student (c) $24 $12 $8 $4.5

A) nc= 9, $10
B) nc= 72, $6
C) n/c= 72, $12
D)n/c= 9, $12

Answers

As we can see from the table there is a pattern to the whole data in the table. A closer look reveals that when we multiply the number of students, n by the cost per student, c we get a constant number, 72. Let us see what we mean here:

[tex]3\times24=72[/tex][tex]6\times 12=72[/tex][tex]9\times 8=72[/tex][tex]16\times 4.5=72[/tex]

Thus, the function which models the data is the [tex]nc=12[/tex].

Now, let us move on to the next part of the question:

If 12 students go on the trip then the cost per student as per this model will be:

[tex]\frac{72}{12}=6[/tex] dollars=$6

Therefore, out of the given options, the option the correct option is number B.

Answer:

nc=72,6$

Step-by-step explanation:

what is the circumference of a circle with a diameter of of 8.4 cm?

Answers

The answer would be 26.39 cm.

Hope this helps!

- Juju

C= d•pi(3.14).
3.14•8.4= 26.376. :)
C= 26.376

write y=(- 3/4)x+3 in standard form using intregers

Answers

y = (-3/4)x + 3
4y = 4 * [ (-3/4)x + 3 ] ... multiply both sides by 4
4y = 4*(-3/4)x + 4*3 ...... distribute
4y = -3x + 12
4y + 3x = -3x + 12 + 3x .... add 3x to both sides
3x + 4y = 12

Answer: 3x + 4y = 12

Expand the polynomial:
(5a+1/5 b)^2

Answers

Expand the following:
(5 a + b/5)^2

(5 a + b/5) (5 a + b/5) = (5 a) (5 a) + (5 a) (b/5) + (b/5) (5 a) + (b/5) (b/5):
5×5 a a + (5 a b)/5 + (5 b a)/5 + (b b)/(5×5)

(5 a b)/5 = 5/5×a b = a b:
5×5 a a + a b + (5 b a)/5 + (b b)/(5×5)

(b×5 a)/5 = 5/5×b a = b a:
5×5 a a + a b + b a + (b b)/(5×5)

Combine powers. (b b)/(5×5) = (b^(1 + 1))/(5×5):
5×5 a a + a b + b a + (b^(1 + 1))/(5×5)

1 + 1 = 2:
5×5 a a + a b + b a + (b^2/5)/5

5 a×5 a = 5×5 a^2:
5×5 a^2 + a b + b a + (b^2/5)/5

5×5 = 25:
Answer: 25 a^2 + a b + b a + (b^2/5)/5

Replaced A for X and B for Y

(25x^2)+(2xy)+(y^2/25)

What is the length of the diagonal of a 10cm by 15com rectangle

Answers

a2 + b2 = c2

102 + 152 = c2

100 + 225 = c2

√325 = c

5√13 = c

The diagonal measures 5√13 cm.

Which is the ratio for sin A, written as a fraction in simplest form?

Answers

When you have a right triangle (A triangle which has a angle of 90°), you can find the "Sine". This is one of the basi trigonometric ratios. By definition, the Sine is:

Sin(α)=Opposite leg/Hypotenuse

You want to find Sin(A), so the opposite leg will be 8√3 and the hypotenuse will be 16.

When you substitue these values, you have:

Sin(α)=Opposite leg/Hypotenuse
Sin(A)=8√3/16

When you simplify, you obtain:

Sin(A)=4√3/8
Sin(A)=2√3/4
Sin(A)=√3/2

Which is the ratio for Sin(A)?

The answer is: The ratio for Sin(A) is √3/2

Answer:

√3/2

Step-by-step explanation:

Draw lines to show how Mrs. Reed could cut one pan of lasagna into thirds,one into fourths,one into sixths,and one into eights

Answers

I hope this is what you meant

If the dimensions of a parallelogram are increased by a factor of two, how will the perimeter of the object be affected?
increase by a factor of four
decrease by a factor of one-fourth
increase by a factor of two
decrease by a factor of one-half

Answers

Let
x------------> length major side parallelogram
y------------> length minor side parallelogram
we know that
[perimeter]=(2x+2y)
Po=(2x+2y)

If the dimensions of a parallelogram are increased by a factor of two
then
x1=2x
y1=2y
P1=2x1+2y1----------> 2*[2x]+2*[2y]--------> P1=2*[2x+2y]
P1=2*Po

the answer is
the new perimeter increase by a factor of two

Answer:

increase by a factor of two

Step-by-step explanation:

Given that dimension of a parallelogram are increased by a factor of 2.

Let the sides of the parallelogram be l and w.

Then perimeter = 2(l+w)

When each side is increased by a scale factor of 2, we get new dimensions as

2l and 2w

Hence new perimeter = 2(2l+2w) = 4(l+w)

= twice as old perimeter

Hence increase by a factor of two

What is 3 1/3 +(-2 1/4) + 1 5/6 as a mixed fraction

Answers

The answer is 2 11/12 because you do 3 1/3 + -2 1/4 which gets you 1 1/2. Then you need to add 1 5/6 to the 1 5/6 to get your answer. So when you add up your answer you get 2 11/12. Hope this helps.

By separating between whole numbers and fractions, we will see that the sum is equal to 2 + 11/12.

How to add mixed numbers?

Here we want to perform the sum:

(3 + 1/3) + (-2 - 1/4) + (1 + 5/6)

We separate between whole and fractions, so we get:

(3 - 2 + 1) + (1/3 - 1/4 + 5/6)

The left part is easy: 3 - 2 + 1 = 2

The right part needs to find a common denominator, we will use 12.

1/3 - 1/4 + 5/6 = 4/12 - 3/12 + 10/12 = 11/12

Then the sum is:

(3 + 1/3) + (-2 - 1/4) + (1 + 5/6) = 2 + 11/12

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Think this belongs to math, I'm not sure though, anyway, what is the width and length of a wooden plank if the dimension is 12,5 x 8,5cm?

Answers

You can infer from this problem that the shape of the wooden plank is a rectangle based on the dimensions given. The length of a rectangle is usually the longest side of the rectangle so you can conclude that the length of the rectangle is 12.5 cm. Therefore, the width is 8.5 cm.

The length of a rectangle is usually the longest side of the rectangle so you can conclude that the length of the rectangle is 12.5 cm the width is 8.5 cm.

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