It costs a homeowner $6.00 to rent a set of hand tools, plus an additional $2.00 per hour for the rental. The function that models the cost, c, of renting tools for h hours is c = 2h + 6. Identify the solution that has the correct graph and the correct slope.
Answers
Answer:
y = 2x + 6
Step-by-step explanation:
The equation c = 2h + 6 represents the cost of renting tools for a given number of hours. The slope of this line is the rate at which the cost of renting the tools increases as the number of hours increases. Since the cost increases by $2.00 for each hour that the tools are rented, the slope of the line is 2.
A graph of this line would be a straight line with a slope of 2 and a y-intercept of 6. This means that the graph would pass through the point (0, 6), which represents the cost of renting the tools for 0 hours. The correct solution is therefore the graph of the equation y = 2x + 6.
Related Questions
Roger is a 38 year old man who lives with his father. He wants to move out but needs to figure out how much he needs to save a month to be able to move in. He has found the apartment he wants but needs to come up with the Deposit which is first and last month’s rent. Currently he makes $2000 a month at his job. His current expenditures living with his father is $800 a month. He figures he can comfortably afford this apartment which costs $1200 a month. How long in his current situation will it take Roger to save for his Deposit and finally move out?
Answers
It will take Roger 2 months to save for his Deposit and finally move out.
In his current situation, Roger needs to save $2,400 to be able to move in, and he needs to pay the deposit for the apartment he wants which is the first and last month’s rent. Currently, Roger makes $2000 and his current expenses are $800 a month.
So, the money he can save per month is $2000 - $800 = $1200.
To find out how long in his current situation it will take Roger to save for his Deposit and finally move out, divide the total amount he needs to save by the money he can save per month:
$2,400 ÷ $1,200 = 2
Therefore, it will take Roger 2 months to save for his Deposit and finally move out.
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suppose that {sn} and {tn} are sequences of positive numbers, that limn→[infinity] sn tn = α and that sn → [infinity]. what can you conclude?
Answers
We may get the conclusion that if Sn and Tn are positive number sequences, lim as n→infinity of Sn/Tn equals n, and Sn is limited, then Sn must increase without bound as n.
The sequence "Sn" being bounded, Sn ≤ M for all n exists for some positive number.
We know that once n grows sufficiently high, Sn/Tn will be greater than whatever positive integer we select because lim as n tends to infinity of Sn/Tn = infinity.
We may create the following inequality with this data:
M × (Tn/Sn) > Sn
The reciprocal, Sn/Tn, is more than 1 since Tn/Sn is a fraction smaller than 1. Hence, in the inequality above, Sn/Tn may be changed to infinity:
M × infinite > Sn
This demonstrates that the Sn sequence increases without bounds as n grows sufficiently large.
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If I have 7/10 and 645/1000 how many would I need to get to 10/10 and 1000/1000
Answers
Answer:
3/10 and 355/1000
Step-by-step explanation:
Multiply.
2.5(-4)
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Answers
Answer:
x = 5/8 = 0.625
Step-by-step explanation:
the shopkeeper sold a camera for 2570 and made a loss of rs180 at what price did he/she purchasr the camera
Answers
purchase they sold it for: $2570
loss= $180
They purchased it for= loss + selling cost
=2570+180
=$2750
1. Operating expenses are known as overhead expenses. C True { }^{C} False 1 2. The basic retailing equation states that the cost of an item is equal to the selling price plus the markup. C True
Answers
The statement "Operating expenses are known as overhead expenses" is False. Operating expenses and overhead expenses are not synonymous.
1. Operating expenses refer to the regular expenses incurred in the day-to-day operations of a business, such as salaries, rent, utilities, marketing expenses, and supplies. These expenses are necessary for running the business and generating revenue.
2. On the other hand, overhead expenses specifically refer to the indirect costs of operating a business that are not directly tied to the production of goods or services. Examples of overhead expenses include administrative salaries, rent for office space, insurance premiums, and depreciation of assets. These expenses are necessary for the overall functioning of the business but do not directly contribute to the production process or the creation of products or services.
3. Operating expenses and overhead expenses are related but not interchangeable. Operating expenses encompass a broader range of costs associated with day-to-day business operations, while overhead expenses specifically refer to indirect costs that support the business's overall functioning.
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supply of houses is determined by two variables (I and R) in the following way: h(1,R) = a log1 + b R + CR log1, where a, b, and c are all constants. How does housing supply respond to changes in I (a) and R (OR)? an an Select one: an a. ar an a+cR an I and an = b + clog1 2 an ī and a b+cR log1 = b + cR log1 O b. a1 an a+cR an C. ai and an an d. ar an + CR log 1 and aR = b + c log1
Answers
The housing supply function is given by h(I,R) = a log1 + bR + cR log1. The housing supply responds to changes in I with a rate of a, and to changes in R with a rate of b + c log1.
Based on the given equation, the housing supply (h) is determined by two variables: I and R. The equation shows that h is a function of R, with a log-linear relationship. The variable I only appears as a constant (a) in the equation, so changes in I do not directly affect the supply of houses.
On the other hand, changes in R (or OR, which is the same variable) do affect the supply of houses. Specifically, an increase in R leads to an increase in the supply of houses. The magnitude of this increase depends on the values of b and c in the equation.
To see this, we can take the partial derivative of h with respect to R:
dh/dR = b + cR/(ln(10))
This equation tells us how much the housing supply changes in response to a change in R. The derivative is positive (i.e. the supply increases) as long as c is positive. The larger c is, the greater the increase in supply for a given increase in R.
Therefore, the correct answer is:
b + cR/(ln(10))
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Decrease 140g by 12.5%
Answers
Answer:
122.5g
Step-by-step explanation:
You would multiply 140 by 12.5% to get 17.5, and then you subtract 140-17.5 to get your answer of 122.5g.
2a²-2ab-3b²+9 when a=3 and b=2
Answers
\(\\ \sf\longmapsto 2a^2-2ab-3b^2-9\)
\(\\ \sf\longmapsto 2(3)^2-2(3)(2)-3(2)^2-9\)
\(\\ \sf\longmapsto 2(9)-12-3(4)-9\)
\(\\ \sf\longmapsto 18-12-12-9\)
\(\\ \sf\longmapsto 6-18\)
\(\\ \sf\longmapsto -12\)
Answer:
3
Step-by-step explanation:
2(3)^2 - 2(3)(2) - 3(2)^2 + 9
2(9) - 12 - 3(4) + 9
18 - 12 - 12 + 9
= 3
Answer from Gauth math
A poll of 250 students found they studied an average of 48 minutes each evening with a standard deviation of 8.4 minutes. Using a 90% confidence interval, what is the maximum error of estimate for the time spent studying?
Answers
Answer:
hope this helps
Step-by-step explanation:
Before deciding whether to fly or drive, the family decided to estimate a budget of $1,400 for airfare. One airline has
several different airfares and charges $25 round-trip for each bag that is checked. Since there are 4 members of the
family and each person would check 1 bag, Luis wrote the equation 4(t + 25) = 1,400 to find the maximum cost
per ticket, t, that will fit their budget.
What is the maximum cost per ticket that will be in their budget?
Answers
325
I hope that helps
Which one is correct
Answers
Answer:
i believe its false good Sir
Answer:
It is False
Step-by-step explanation:
The line of this graph isn’t linear so it isn’t proportional
Which inequality is represented by this graph?
-5 -4 -3 -2 -1 0 1 2 3 4 5
0 0 > X
O x > 0
Plz hurry this is timed
Answers
Which relationship in the triangle must be true?
A
c
b
C
B
а
sin(B) = sin(A)
sin(B) = cos(90 - B)
COS(B) = sin(180 - B)
cos(B) = (A)
Answers
Answer:
sin(B) = cos(90 - B).
Step-by-step explanation:
To answer this question, you must understand SOH CAH TOA.
SOH = Sine; Opposite divided by Hypotenuse
CAH = Cosine; Adjacent divided by Hypotenuse
TOA = Tangent; Opposite divided by Adjacent
I roughly drew a triangle for reference. Let's say we have a 3-4-5 triangle.
As you can see, sin(b) does not equal sin(a). To get the sine of an angle, you would do opposite over hypotenuse. For angle B, that would be 3/5, while for angle A, that would be 4/5.
As stated above, sin(B) is 3/5. Now, if you did cos(90 - B), it would be the same thing as cos(A). This is because the triangle is a right triangle. Since a triangle has 180 degrees, and one angle is a right triangle, the other two angles will add up to be 90 degrees. So, 90 - B = A. cos(A) is the same thing as adjacent over hypotenuse, which is 3/5. So, sin(B) = cos(90 - B) must be true.
Let's just check the others to make sure they are false.
cos(B) = 4/5.
sin(180 - B) is basically the same thing as sin(A + C), which is definitely NOT 4/5.
cos(B) = 4/5, which is NOT the same as A.
So, your answer is sin(B) = cos(90 - B).
Hope this helps!
What is the scale factor of Xyz to UVW?
Answers
Answer & Step-by-step explanation:
In order to solve this problem, we are going to have to divide. Since the triangles are similar, then that means that we are going to have to find the ratio between the sides which will also be our scale factor.
We can divide 75 by 15 since they are corresponding sides. Once we find the ratio between the sides, then we can conclude that the scale factor would be that number.
75 / 15 = 5
So, the scale factor of XYZ to UVW is 5.
The scale factor of \(Xyz\) to \(UVW\) is 5.
What is scale factor?The ratio that we get when you divide corresponding side lengths of similar figures is called the scale factor.
According to the given question.
We have a two triangles Xyz and UVW. And both the triangles are similar to each other.
In triangle Xyz we have
\(Xy = 60\)
\(yz = 75\)
and
\(zX = 90\)
Also, in triangle UVW we have
\(UV = 12\)
\(VW = 15\)
and, \(WU = 18\)
Therefore, the scale factor of Xyz to UVW is given by
\(\frac{Xy}{UV} =\frac{yz}{VW} =\frac{zX}{WU}\)
⇒ \(\frac{60}{12} =\frac{75}{15} =\frac{90}{18} =5\)
Hence, the scale factor of \(Xyz\) to \(UVW\) is 5.
Thus option B is correct.
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What is the missing value in the table below?
Number of Books
3. $10.00
9. $30.00
18. $60.00
$80.00
Answers
Answer:
24 books
Step-by-step explanation:
Books are valued at $10/3 books. 18 books would have a value of (18books)*($10/3books) = $60, and so on.
X books would have a value of X($10/3)=$80
X = ($80)*(3/$10)
X = 24 books
.
A school with a population of 2,500 students experiences a flu outbreak. It is found that the number of healthy students at the school is decreasing at a rate of 15% each day. Which function can be used to find the number of healthy students at the school d days after the outbreak begins?
Answers
Answer:
y=2500(0.85)^d
Step-by-step explanation:
Seeing as there are no option choices, I shall digress.
Because of a decrease of 15% each day, it means exponential decay. Using the formula y=a(1-r)^x, we have y=2500(1-0.15)^d -> y=2500(0.85)^d
Your function would thus be y=2500(0.85)^d
Answer:
The function that can be used is x = (2500 × 0.15)(number of days, or d)
Step-by-step explanation:
First we can create an equation to find this easier. We can say that x, or the number of infected students, is equal to (2500 × 0.15), since percentages are easily changed into decimals, and multiply that by the number of days or d.
A lab orders 100 rats a week for each of the 52 weeks in the year for experiments that the lab conducts. Prices for 100 rats follow the following distribution: Price: $10.00 $12.50 $15.00 Probability: 0.35 0.40 0.25 How much should the lab budget for next year's rat orders be, assuming this distribution does not change
Answers
The lab should budget for the next year's rat orders be $63,700.00.
The lab orders 100 rats a week for each of the 52 weeks in the year for experiments that the lab conducts.
The prices for 100 rats follow the given distribution:
Price ($): 10.00, 12.50 , 15.00
Probability: 0.35 0.40 0.25
Mean price per 100 rats can be calculated using the expected value formula,
μx = ∑ [ xi × P(xi) ]
where
μx = mean value,
xi = price,
P(xi) = probability of xi
Mean price per 100 rats:
μx = (10.00 × 0.35) + (12.50 × 0.40) + (15.00 × 0.25)
μx = 3.50 + 5.00 + 3.75
μx = $12.25
The mean price per 100 rats is $12.25.
Hence, the cost of 100 rats is $12.25.
Therefore, the lab should budget for the next year's rat orders:
$12.25 × 100 × 52
= $63,700.00
The lab should budget for the next year's rat orders be $63,700.00.
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find the value of x in the circle
Answers
Step-by-step explanation:
Angles EXTERNAL to a circle are equal to 1/2 the difference of the intercepted arcs
arcs are 17x and 360 - 17x
75 = 1/2(17x - ( 360-17x)
75 = 1/2 ( 17x - 360 + 17x)
150 = 34x-360
510 = 17x
x =30
GUYS I NEED HELP ASAP IF YOU HELP I WILL GIVE 15 POINTS
Shelley invested some money in an account that will mature in one year. If Shelley withdraws the money after the maturity date, she will receive her initial investment plus 15%, but if she withdraws her money now, she will only be able to withdraw 80% of what she put into the account.
Shelley put $317 into the account initially. How much of her initial investment will she lose if she withdraws her money now?
Answers
Answer: $63.40
Step-by-step explanation:
She starts out with $317 but she will only get 80% which means she will lose 20%
100%-80%=20%
take 20% of 317
.2 x 317 convert 20% to decimal by moving decimal twice and multiply
=63.4
She will lose $63.40
Reason:
If she withdraws early, she can only withdraw 80% of what she put in. She takes a 20% penalty.
20% of 317 = 0.20*317 = 63.40 dollars is how much she loses.
Put another way:
She is able to withdraw 0.80*317 = 253.60 dollars if doing so early. She lost 317-253.60 = 63.40 dollars
pls help! will mark brainliest if correct
Answers
Answer:
\(x = -2, y = 6\)
Step-by-step explanation:
\(-x + 4 = -4x-2\)
\(x = -2\)
Plug back into either one of the equations to get y = 6
Please do Equations A-D!!! Find the discriminant, numbers of roots, and type of roots and tell me which method you used to solve. Thank you in advance!! I will mark BRAINLIEST!!!
Answers
Discriminant for A-3, (2 imaginary solution)
Discriminant for B-1152 (2 real solutions)
Discriminant for C-400 (2 real solutions)
Discriminant for D-96 (2 real solutions)
I hope I was able to help some of it!
Johnny wants to order t-shirts for the university which consists of about 5,000 students. He takes a random sample to figure out how many sizes to order of each kind. If he randomly surveyed 100 students and 24 of them wanted smalls. How many small t-shirts should he order?
Answers
Based on the sample of 100 students, 24 of them wanted small t-shirts. Therefore, Johnny can estimate that approximately 24% of the 5,000 students at the university will want small t-shirts.
To determine the exact number of small t-shirts he should order, Johnny would need to multiply the estimated percentage by the total number of t-shirts he plans to order.
To calculate the estimated number of small t-shirts needed, Johnny would first multiply the percentage of students who want small t-shirts (24%) by the total number of students (5,000).
This would give him an estimate of 1,200 small t-shirts needed. However, he may also want to consider ordering some extra t-shirts of each size to account for unexpected demand or errors in his estimation process.
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Use the quadratic formula to find both solutions to the quadratic equation
given below.
4x2 + 3x -1 = 0
Answers
Answer:
do u mean 4x²........i need to make sure it
Use the following table to determine P(X≤3).
Answers
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\(P(x \leqslant 3) = P(1) + P(2) + P(3) \\ \)
\(P(x \leqslant 3) = 0.25 + 0.32 + 0.17 \\ \)
\(P(x \leqslant 3) = 0.74\)
Thus the correct answer is
the last option .
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the number line shows point m at 15,490 rounded to the nearest thousand?
Answers
Answer:
I can't see the number line, but I'll say 15,000
The solution is, 15000 when 15,490 rounded to the nearest thousand.
What is round off?Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.
here, we have,
given that, 15,490
now, we have to rounded to the nearest thousand.
we get, 490 < 500
so, it is 15000
Hence, The solution is, 15000 when 15,490 rounded to the nearest thousand.
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A triangle has height of 15 in. And area 120^2 . What is the length of its base
Answers
Answer:
16 inches
Step-by-step explanation:
Multiply 120 by 2 to start reversing the triangle area equation.
120*2 = 240.
Now divide by 15
240/15=
16
The length is 16 inches
What is the solution to this equation?
−6(x+7)=−30
Enter your answer in the box.
x =
Answers
Answer:
x=-2
Step-by-step explanation:
\(-6(x+7)=-30\\\frac{-6(x+7)}{-6}=\frac{-30}{-6}\\x+7=5\\x+7-7=5-7\\x=-2\)
Answer:x=-2
Step-by-step explanation:
distribute -6(x+7)=-30
-6x-42=-30
add 42 to both sides
-6x-42+42=30+42
simplify
-6x=12
solution x=-2
What is the value of x?
Answers
Answer:
74.5°
Step-by-step explanation:
45+(2x-5)=180 ( co-interior angles )
45+2x-5=189
2x=189-40
2x=149
x=74.5°
What is the equation of the line that passes through the point (-5,-3)and has a slope of -3/5 ?
Answers
Answer: y = -3/5x - 6
Step-by-step explanation:
There are a few equations that can be used for this, but the simplest one would be y = mx + b
We are given:
y = -3
m = -3/5 (slope)
x = -5
b = ?
Our equation is this, we are solving for b
==> -3 = -3/5 ( -5) + b
==> -3 = -3/5 ( -5) + b ( multiply the brackets)
==> -3 = 3 + b ( subtract 3 to both sides)
==> -6 = b
Now we can make the desired equation in slope intercept form;
y = -3/5x - 6
Hope this helped! Have a great day :D