A turtle is crawling up a hill that rises 6 feet for every horizontal change of 36 feet. Write the slope of the hill as a
fraction in simplest form.
9514 1404 393
Answer:
1/6
Step-by-step explanation:
The slope is the ratio of rise to run.
slope = rise/run = (6 ft)/(36 ft) = 6/36 = 1/6
The slope of the hill is 1/6.
The total cost C for a manufacturer during a given time period is a function of the number N of items produced during that period. To determine a formula for the total cost, we need to know the manufacturer's fixed costs (covering things such as plant maintenance and insurance), as well as the cost for each unit produced, which is called the variable cost. To find the total cost, we multiply the variable cost by the number of items produced during that period and then add the fixed costs.
a. Use a formula to express the total cost C of this manufacturer in a month as a function of the number of widgets produced in a month. Be sure to state the units you use.
b. Express using functional notation the total cost if there are 250 widgets produced in a month, and then calculate that value.
Answer:
(a) C = 9000 + 15N
(b) Cost of 250 widgets is $12750
Step-by-step explanation:
The question has missing details. See attachment for complete question
Solving (a): An expression for total cost.
The expression is generated using:
[tex]Total\ Cost = Fixed\ Cost + Variable\ Cost * Number\ of\ Items[/tex]
From the given parameters:
[tex]Fixed\ Cost = 9000[/tex]
[tex]Variable\ Cost = 15[/tex]
[tex]Number\ of\ Items = N[/tex]
So, the expression becomes:
[tex]C = 9000 + 15 * N[/tex]
[tex]C = 9000 + 15 N[/tex]
Solving (b): Cost of 250 widgets
In this case:
[tex]N =250[/tex]
Substitute 250 for N in [tex]C = 9000 + 15 N[/tex]
[tex]C = 9000 + 15 * 250[/tex]
[tex]C = 9000 + 3750[/tex]
[tex]C = 12750[/tex]
If y varies inversely with x, and y = 48 when x = 6, find y when x = 18.
Answer:
y = 16
Step-by-step explanation:
Given that,
y varies inversely with x i.e.
[tex]y=\dfrac{k}{x}[/tex]
Where
k is a constant of proportionality
Put y = 48 and x = 6 in the above equation to find k.
So,
[tex]k=48\times 6\\\\k=288[/tex]
Now put k = 288 and x = 18 in the above equation to find y.
[tex]y=\dfrac{288}{18}\\\\y=16[/tex]
So, the value of y is equal to 16 when x = 18.
Answer:
16
Step-by-step explanation:
On a recent utility bill, the water/sewer/garbage portion of the bill was $91.22. This consisted of 74%
of the total bill. To the nearest cent, what was the total amount of the utility bill?
The total amount of the utility bill is $
Answer:
74%->91.22
100%-> 123.27(estimated)
The total amount of the utility bill will be $123.2.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that on a recent utility bill, the water/sewer/garbage portion of the bill was $91.22. This consisted of 74% of the total bill.
The total amount will be calculated as below:-
74% ⇒ $91.22
1% ⇒ 91.22 / 74
100% ⇒ ( 91.22 x 100 ) / 74
100% ⇒ $123.27
Therefore, the total amount of the utility bill will be $123.2.
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HELP PLEASE!!!
See the image!
Answer:
Step-by-step explanation:
Remark
I don't think the net helps you that much. The yellow diagram shows where the dimensions are.
Givens
L = 5w = 5h = 12Formula
Surface Area = 2*L*w + 2*L*h + 2 * w * h
Solution
Surface Area = 2*5*5 + 2*5*12 + 2*5*12Surface Area = 50 + 120 + 120Surface Area = 290 in^2A restaurant wants to study how well its salads sell. If 10 of the salads sold were salads, how many total salads did the restaurant sell?
Answer:
Um... is this a joke it’s 10
Step-by-step explanation:
Pat said that the amount of money he has in his pocket is greater than or equal to $5.75 but less than $13.00. Which number line shows the amount of money Pat might have?
Missy read 1/12 of a book by Monday 1/4 of the book by Tuesday and 5/12 of the book by Wed. if the pattern continues how much of the book will she have read by Fri. draw a chart or explain
Answer:
part A:
1/12 on day 1
1/4 or 3/12 on day 2
5/12 on day 3
Missy read 2/12 or 1/6 every day
Part B:
if day 1 is 1/12 and Friday is day 5 and she reads 2/12 per day
2/12 * 4 = 8/12
so 1/12 + 8/12 = 9/12 or 3/4 by Friday
Answer:
Monday: 1/12
Tuesday: 3/12
Wednesday: 5/12
Step-by-step explanation:
3 Write the statement "10 is 7 less than the product of 5 and a" as a
mathematical equation.
a baseball team wins 45% what fraction of the games do they win
Answer:
= 9/20
Step-by-step explanation:
45% = 45/100
= 0.45
= 0.45/1 × 100/100
= 45/100
= 9/20
81^3x÷3^4x=729 solve for x
Answer:
Step-by-step explanation:
x=45816 , 1.89552335
Answer:
Answer:
x=0.333333,−0.333333
Step-by-step explanation:
(813)(x) /3^4
x=729
Simplifies to:
6561x2=729
Let's solve your equation step-by-step.
6561x2=729
Step 1: Divide both sides by 6561.
6561x^2 /6561 = 729 /6561
x2= 1 /9
Step 2: Take square root.
x=±√ 1 /9
x=0.333333,−0.333333
Find the slope of the line passing through the points (-7, 5) and (2,5).
Answer:
slope = 0
Step-by-step explanation:
Use formula to find the slope: m = (y2 - y1) / (x2 - x1)
Set (x1, y1) = (-7, 5)
Set (x2, y2) = (2, 5)
m = (5 - 5) / (2 - (-7))
m = (5 - 5) / (2 + 7) FYI, negative * negative = positive
m = 0 / 9
If you plot the coordinates, they'll lie on a horizontal line. Therefore, the slope of the line is 0.
A company that advertises on websites uses the formula below to estimate the number of people who will click on one of its advertisements, where c is the number of clicks on that advertisement, t is the length of time the advertisement is displayed (in days), and d is the distance from the top of the website to the advertisement (in inches).
c = 152t - 44d
How many clicks would the company estimate to receive from its advertisement that is displayed 7 inches from the top of the website for 18 days? A. 272 B. 2,692 C. 2,428 D. 2,729
Answer:
C. 2428
Step-by-step explanation:
c=152t-44d
Its given that,
t=18, d=7
substituting
c=152(18)-44(7)=2428
Please rate brainliest
Look at pic plz help
Answer:
Mochi is growing quicker.
Step-by-step explanation:
At 3 weeks Mochi was 13 pounds but Kappa was only at 11. Hope this helps! I'd really appreciate brainliest.
Answer:
Mochi
Step-by-step explanation:
by 2 weeks Mochi was at weight 9 while Kappa was at 8 in weight the same time.
x² + 4 = 55
What is x
Answer:
7.1414284285
answer...
How do you write 246% as a fraction or mixed number?
Answer:
246/100 as a fraction, and 2 46/100 as a mixed number..
Step-by-step explanation:
Answer: Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
2 and 23/50
or as a simplified fraction 123/50
Step-by-step explanation:
The height of a standard coffee cup
would be about
7 meters
B
7 kilometers
7 centimeters
D
7 millimeters
Answer:
7 centimeters
Step-by-step explanation:
Standard size of a coffee cup is 7 centimeters
7 meters is too big
7 kilometers is bigger than 7 meter
7 millimeters is too small
How Many Equal Parts Are In 4/5
Answer:
4
Step-by-step explanation:
Image result for how many equal parts are in 4/5
Each equal part is called one-fourth or a quarter of the whole sheet. So, any whole can be divided into four equal parts and each part is one-fourth or a quarter of the whole.
Extend the pattern below by four terms write an observation about the pattern pattern 76, 70, 64,58,52
Answer:
46, 30, 24, 18, 12
Step-by-step explanation:
Alison rolls two number cubes 90 times. How many times is he going to get a sum of 3?
15
Step-by-step explanation:
Answer:
I think 30 im so sure
Step-by-step explanation:
uhm i think its 90 divided by 3 cuz i looked it up and got 30 so yea bye
Never was given anything to help solve they just assume you know it
Answer: 0.4575
Step-by-step explanation:
.915/2
NEED THIS ASAP
Find QA.
A.4
b.-4
c.16
d.28
Answer:
d. 28
Step-by-step explanation:
7x = 3x + 16
subtract 3x from both sides: 4x = 16
divide both sides by 4: x = 4
plug in four to find length of QA: 3 x (4) + 16 = 12 + 16 = 28
Solve the inequality below:
-3x +5-16
ALGEBRA
please help
Answer:
The answer is -14x
Step-by-step explanation:
5 - 16 = -11
-3 + -11 = -14
(all we have left is the x)
-14 + x = -14x
Answer:a
Step-by-step explanation:
♂️♂️♂️help me plz I dont no 1+1
Answer:
The answer is 2
Step-by-step explanation:
Since the number 1 plus 1 is 2
I don't understand how to do this
Answer:
x = 86
Step-by-step explanation:
The top right and bottom left angles are part of the reflective property, in turn, the bottom left angle is also 94 degrees; to find the opposite relfective angle set, it would be, in this problem, the top left and bottom right angles; the two top angles make up 180 degrees, so it would be (180-94 = 86) 86 degrees for both the top left and the bottom right angles.
Hope this helps :)
Jason had 141 dollars to spend on 8 books. After buying them he had 13 dollars. How much did each book cost ?
Answer:
Each book cost $16
Step-by-step explanation:
Step 1: Subtract $13 from 141 to get 128
Step 2: Divide 8 by 128 to get 16
Each book cost $16
Hope this helps
pls mark brainliest!
Mary Chapman had been working at First Savings for 18 years when she
became permanently disabled and could not continue to work. She was 50 years
old and had planned to retire in 12 years. Her final average salary was $34,500.
First Savings' rate of benefits is 2%. What is Chapman's monthly disability
benefit?
Answer:
17250
Step-by-step explanation:
Campsite fees
(per day)
Tent ...... .. $15.00
Caravan ....... $25.00
The sign shows the fees charged at a campsite.
Today there are 54 tents and 18 caravans on the site.
Calculate the fees charged today.
Answer:
1260
Step-by-step explanation:
Tents: 15×54=810
Caravans: 25×18=450
450+810=1260
Answer:
$1260
Step-by-step explanation:
Campsite Fees:
Tent - $15 (per day)
Caravan - $25 (per day)
No. of Tents and Caravans today:
Tents - 54
Caravan - 18
Total fees for Tent = 15 x 54
= $810.
Total fees for Caravan = 25 x 18
= $450.
Fees altogether for Today = Total fees for Tent + Total fees for Caravan
= $810 + $450
= $1260
In 2016, 5,200 parking permits were issued in a city. The number of parking permits increases by 5% every year. Let y represent the number of parking permits issued x years since 2016.
Which type of sequence does the situation represent?
A.
The situation represents an arithmetic sequence because the successive y-values have a common difference of 1.5.
B.
The situation represents an arithmetic sequence because the successive y-values have a common difference of 1.05.
C.
The situation represents a geometric sequence because the successive y-values have a common ratio of 1.5.
D.
The situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.
The situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.
What is geometric series?A geometric series is a series in which the division of any consecutive two terms will be the same.
here, we have,
to determine the situation:
The given parameters are:
Initial = 5200
Rate = 5%
Because the population by 5% every year, then the situation is a geometric sequence.
The common ratio is then calculated as:
Ratio = 1 + Rate
This gives
Ratio = 1 + 5%
Evaluate
Ratio = 1.05
Hence, the situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.
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1.
Write the equation, then find the value of x.
2.
What is the measure of
Answer:
1.
32+36+2x=180
2.
56
hope this helps