The cost C (in dollars) to participate in a ski club is given by the literal equation C=85x+60, where X=C/85-12/17 is the number of ski trips you take.How many ski trips do you take if you spend a total of $315? How about $485?
Answers
Given:
The cost C (in dollars) to participate in a ski club is given by,
\(\begin{gathered} C=85x+60 \\ (or) \\ x=\frac{C}{85}-\frac{12}{17} \end{gathered}\)Where x is the number of ski trips we take.
To find:
The number of ski trips when a total cost of $315 and $485 is spent.
Explanation:
Substituting C = 315 in the given equation we get,
\(\begin{gathered} x=\frac{315}{85}-\frac{12}{17} \\ x=\frac{315-60}{85} \\ x=\frac{255}{85} \\ x=3\text{ ski trips} \end{gathered}\)Substituting C = 485 in the given equation we get,
\(\begin{gathered} x=\frac{485}{85}-\frac{12}{17} \\ x=\frac{485-60}{85} \\ x=\frac{425}{85} \\ x=5\text{ ski trips} \end{gathered}\)Thus,
If we spend a total cost of $315, we can take 3 ski trips.
If we spend a total cost of $485, we can take 5 ski trips.
Final answer:
• If we spend a total cost of $315, we can take 3 ski trips.
,• If we spend a total cost of $485, we can take 5 ski trips.
Related Questions
Find the lateral surface area of this
cylinder. Round to the nearest tenth.
12cm
3 cm
[?] cm2
Answers
Answer:226.2
Step-by-step explanation
Lateral= 2πrh
H=12
R=3
2*π*3*12=226.19
Round to nearest 10th is 226.2
PLEASE HELP Find the value of x.
X
15
12
Answers
Answer: x = 9
Step-by-Step Solution:
Hypotenuse = 15 units
Base = 12 units
Altitude = x units
Using Pythagoras Theorem,
=> Hypotenuse^2 = Base^2 + Altitude^2
(15)^2 = (12)^2 + x^2
225 = 144 + x^2
225 - 144 = x^2
81 = x^2
x^2 = 81
x = √81
=> x = 9
Therefore, Altitude = 9 units
Is (x + 6) a factor of f(x) = x3 − 3x2 + 2x − 8? Show how to use either the remainder theorem or the factor theorem to explain your reasoning.
Answers
Answer:
x + 6 is not a factor of f ( x ) = x³ - 3x² + 2x - 8 because when -6 is substituted into the function, the answer is not 0.
Step-by-step explanation:
→ Substitute x = -6 into f ( x )
( 6 )³ - 3 × ( 6 )² + ( 2 × 6) - 8
→ Simplify
216 - 108 + 12 - 8
→ Simplify further
112
Give a sentence with the word
decimal in it.
Answers
Answer:
All numbers that are in the decimal places are significant.
Step-by-step explanation:
A decimal is a digit after the decimal dot.
E.g. 1 in 2.31 is a decimal. 1 in 2.13 is also a decimal.
what fraction is the same as 42%
Answers
hmu for extra math help
Cast Iron Grills, Incorporated, manufactures premium gas barbecue grills. The
company reports inventory and cost of goods sold based on calculations from a LIFO
periodic inventory system. Cast Iron's December 31, 2024, fiscal year-end inventory
consisted of the following (listed in chronological order of acquisition):
Units. Unit cost
6,800. 600
4,900. 700
7,800. 800
The replacement cost of the grills throughout 2025 was $900. Cast Iron sold 36,000
grills during 2025. The company's selling price is set at 200% of the current
replacement cost.
Required:
1. & 2. Compute the gross profit (sales minus cost of goods sold) and the gross profit
ratio for 2025 under two different assumptions. First, that Cast Iron purchased 37,000
units and, second, that Cast Iron purchased 19,500 units during the year.
4. Compute the gross profit (sales minus cost of goods sold) and the gross profit ratio
for 2025 assuming that Cast Iron purchased 37,000 units (as per the first assumption)
and 19,500 units (as per the second assumption) during the year and uses the FIFO
inventory cost method rather than the LIFO method.
Answers
Answer:
a) ending inventory: 11,850,000
cost of goods sold: 25,200,000
gross profit 25,200,000
b)
ending inventory: 1,800,000
cost of goods sold: 23,100,000
gross profit 50,400,000 - 23,100,000 = 27,300,000
5,200 at $600
4,100 at $700
6,200 at $800
purchase 29,000 at $900
-sold 28,000 grills
As we use LIFO we sale from the last purchase thus, 29,000 - 28,000 = 1,000 of this units are added as another layer for the inventory account
ending inventory
5,200 at $ 600
4,100 at $ 700
6,200 at $ 800
1,000 at $ 900
Total $ 11,850,000
cost of good sold:
28,000 x $900 = $25,200,000
sales revenue
28,000 x 900 x 200% = $50,400,000
gross profit sales revenue less COGS
b) 5,200 at $600
4,100 at $700
6,200 at $800
purchase 15,500 at $900
-sold 28,000 grills
we check how many layer deep we go:
28,000 - 15,500 at 900= 12,500
12,500 - 6,200 at 800= 6,300
6,300 - 4,100 at 700 = 2,200 at 600
Ending Inventory
3,000 at $600 = $ 1,800,000
COGS:
15,500 x 900 + 6,200 x 800 + 4,100 x 700 + 2,200 x 600 = 23,100,000
Step-by-step explanation:
What is the domain of the function shown in the graph below,?
NO LINKS!!
Answers
Answer:
see explanation
Step-by-step explanation:
There is a discontinuity in the graph at x = - 6 , possibly a vertical asymptote.
The domain is therefore all real values of x except x = - 6
domain is x : (- ∞, - 6 ) u (- 6, + ∞ )
how many 5 seater taxis do you need for78 people
Answers
Step-by-step explanation:
Answer: 78 /5 = 15.6 = 16 taxis. Step-by-step explanation: I HOPE THIS WILL HELP YOU AND MARK IT AS BRAINLIEST ANSWER PLEASE.
please help answer ASAP will mark brainlyest
Answers
ANSWER 92°
REMEMBER! angles in a triangle add up to 180°
this means that:
(x) + (3x + 13) + (x - 8) = 180
5x + 5 = 180
5x = 175
therefore x = 35
now that we know x, we can apply this to work out the angle mentioned, the angle a:
A = 3(35) - 13
= 92°
16/k + 7h for k=8 and h=2
Answers
Answer:
16
Step-by-step explanation:
16/k +7h k=8 h=2
16/8+7(2)
= 2 + 14
= 16
Hope this helps :)
8x - 2
f(x) = 3x3 + 4x2
g(x) = 3x - 5
Find (f – g)(30)
Answers
Answer
P= 2L+2W
P=2(12) +2(7) =38
Step-by-step explanation:
The width of a rectangle is 5 meters less than its length. The area is 84 square meters. Find the dimensions of the rectangle and the perimeter of the rectangle.
First it helps to draw a picture so draw a rectangle
Remember that area of a rectangle =Length times width and the perimeter is P= 2 times the length plus 2 times the width
So A=LW and P=2L+2W
84= area
L=length
W= length -5
L(L-5)=84 distribute the L and you have L2 -5L=84 now subtract 84 from both sides and get L2 �5L-84 next factor to get (L+7)(L-12) next set both to =0 (L+7)=0 (L+12)=0 solve for L
L=-7 and L=12 you can�t have a negative length so -7 is out. So L=12 now plug in to the original area equation
84=LW 84= 12w now divide both sides by 12 to isolate W, this gives you W=7
L=12 and W= 7
For perimeter use 12 for the length and 7 for width Remember that P= 2L+2W
P=2(12) +2(7) =38
The United States has one of the lowest rates of cell phone usage in the industrialized world, at 85 cell phones per 100 people. (By contrast, Hong Kong has around 140 cell phones per 100 people.) If the U.S. population is about 302 million, what is the order of magnitude of cell phone use in the United States?Group of answer choices10^610^810^710^5
Answers
Answer:
\(10^8\)Step-by-step explanation:
An order of magnitude is an exponential change of plus or minus 1 in the value of a quantity or unit. The term is generally used in conjunction with power-of-10 scientific notation.
Therefore, if for 100 people 85 of them have cell phones, for 302 million:
\(\begin{gathered} \frac{85}{100}=\frac{x}{302000000} \\ x=\frac{302000000*85}{100} \\ x=256,700,000 \end{gathered}\)The number written in scientific notation is:
\(x=2.567\times10^8\)So its order of magnitude 8.
Cindy was asked by her teacher to subtract 3 from a certain number and then divide the result by 9. Instead, she subtracted 9 and then divided the result by 3, giving an answer of 43. What would her answer have been if she had worked the problem correctly?
Answers
Using mathematical operations, Cindy's answer would have been 15 if she had worked the problem correctly by following her teacher's instructions.
How is the correct value determined?The correct value can be determined by reversing Cindy's calculations to find the certain number as follows:
(x - 9) ÷ 3 = 43
x = 43 x 3 + 9
x = 138
With the certain number, x = 138, the correct mathematical operations can be performed as follows:
Correction Operation:(138 - 3) ÷ 9
135 ÷ 9
= 15
Thus, Cindy's correct answer would have been 15 if she had performed the correct mathematical operations, according to her teacher's instructions.
Learn more about mathematical operations at https://brainly.com/question/4721701.
#SPJ1
Liz created this table to show the ratio of red pencils to green pencils in her box. Identify the ratios that are equivalent to the ratio of red pencils to green pencils in Liz’s table.
Red Pencils Green Pencils
2 6
4 12
6 18
8 24
Answers
Help pleaseee!! I will give brainlist
Answers
The length FE in the circle is 6 units
The arc AE has a measure of 64 degrees
Calculating the length FEFrom the question, we have the following parameters that can be used in our computation:
The circle
Given that the lengths from the center to either chords are equal
This means that
FE = 6 units
Calculating the measure of arc AEFor the other circle, we have
BC = 58 degrees
AB = ED
The arc AE is calculated as
AE = 180 - BC - ED
Where
AB = ED = BC = 58 degrees
So, we have
AE = 180 - 58 - 58
Evaluate
AE = 64
Hence, the arc AE is 64 degrees
Read more about circles at
https://brainly.com/question/25871159
#SPJ1
Use the sum and difference identities to rewrite the following expression as a trigonometric function of a single number.cos(15") cos(15) – sin(15") sin(15)
Answers
Solution:
From the sum and difference identities expressed as
\(\begin{gathered} \sin (A+B)=\sin A\cos B+\sin B\cos A\text{ ---- equation 1} \\ \sin (A-B)=\sin A\cos B-\sin B\cos A\text{ ----- equation 2} \\ \text{cos}(A+B)=\cos A\cos B-\sin A\sin B\text{ ------ equation 3} \\ \text{cos}(A-B)=\cos A\cos B+\sin A\sin B\text{ ------ equation }4 \end{gathered}\)Given:
\(\cos (15)\cos (15)-\sin (15)\sin (15)\)The above expression satisfies equation 3, where
\(\begin{gathered} A=15, \\ B=15 \end{gathered}\)Thus,
\(\begin{gathered} \cos (15)\cos (15)-\sin (15)\sin (15)=\cos (15+15) \\ =\cos (30) \end{gathered}\)Hence, the expression is simplified to be
\(\cos (30)\)The reflector of a flashlight is in the shape of a paraboloid of revolution. Its diameter is 8 centimeters and its depth is 4 centimeters. How far from the vertex should the light bulb be placed so that the rays will be reflected parallel to the axis?
Answers
Answe: The distance of light bulb can be calculated using equation of parabola. The parabola is a plane curve which is U-shaped.
Step-by-step explanation:
HELP PLZ PLZ HEEEEEEEEEEEEEEEEELP
Answers
Since there is 8 parts in between 1 and 2 on the number line the denominator is 8.
The most frequent measurement is right in the middle, which if you count to that line you can see it goes up to 4 parts.
And because it’s already past the whole number 1 it would be 1 4/8 or 1 ½
I hope this helps and is understandable!
PLEASE ANSWER FAST!!!
An object is launched vertically at a velocity of 160 feet per second from the top of a building 100 feet above the ground. Use the model h=-16t^2+vt+c where h is the height of the object at any time t, c is the initial height, in feet, of the object, t is the time in seconds and v is the velocity of the object.
How long will it take the object to reach the maximum height, and what is the maximum height?(Round to the nearest whole number)
Answers
Answer:
The question let's us set up the equation
Hope it helps!
Step-by-step explanation:
160= 16t^2+96t+16 and we just solve for t to get t= 3(sqrt 2 - 1) and -3(sqrt 2 - 1).
Hope it helps!
50 Points!!!!!! Triangle ABC is given.
Angle A is labeled two x degrees. Angle B is labeled forty degrees. Angle C is labeled three x degrees.
What is the measure, in degrees, of ∠A?
Enter your answer in the box.
Answers
All 3 angles add up to 180 degrees.
so 40 + 2x + 3x = 180
40 + 5x = 180
5x = 140
x = 28
So angle A = 2x = 2(28) = 56 degrees.
Answer: 56°
Step-by-step explanation:
We know that a triangle's angles add up to 180 degrees. We will create an equation to help us solve for x using this information.
Given:
2x + 3x + 40 = 180
Combine like terms:
5x + 40 = 180
Subtract 40 from both sides of the equation:
5x = 140
Divide both sides of the equation by 5:
x = 28
Next, we will substitute this value of x into the expression for ∠A.
∠A = 2x = 2(28) = 56°
Ajar contains four blue marbles and two red marbles. Suppose you choose a marble at random, and do not replace it. Then you choose a second marble.
K Find the probability of the following event.
Both of the selected marbles are red.
The probability that both of the selected marbles are red is
(Round to three decimal places as needed.)
Answers
Answer:
1/15 or 0.0667
Step-by-step explanation:
brainly.in/question/40960504
bardai
chatgpt
red marble on the first draw is 2/6, or 1/3
red marble on the second draw, given that the first marble was red, is 1/5
(1/3) * (1/5) = 1/15
Which diagram is a dilation of the triangle shown below using a scale factor of 23?
Answers
The new lengths triangle that is formed after the given dilation is; Height = 4 and base = 2
How to carry out dilation transformation?Dilation is defined as a transformation that is used to resize an object. This means that dilation is used to make the objects larger or smaller. When the objects get larger, it is called an enlargement but when the object becomes smaller, it is called a reduction.
Now, we want to dilate the given triangle by the scale factor 2/3. Since the factor of dilation is less than 1, then we can call it a reduction of shape.
Thus, we multiply each side of the given triangle by 2/3 to get;
Height = 6 * 2/3 = 4
Base = 2/3 * 3 = 2
Read more about Dilation Transformation at; https://brainly.com/question/3457976
#SPJ1
11. The area of a circle is πr2 where r is the length of the radius. Thus, one could take the measure of the central angle in degrees and ____________ _________. Then, multiply that result by πr2.
Answers
The measure of the central angle θ in degrees and then multiply by 1/(2π). Then that result by πr²
What is the area of the sector?We will use the following points to find the area of the sector;
First of all, the angle that is formed in a full rotation is 2π.
The area of a circle is given by the formula; A = πr²
The central angle is given by the angle symbol θ. Thus, we have to multiply the area of the circle by a factor θ/2π
Thus, the area of a sector is given by the formula;
A = (θ/2π) * πr²
Read more area of sector at; https://brainly.com/question/15050805
#SPJ1
The following question has two parts. First, answer part A. Then, answer part B.
Answers
Answer:
Step-by-step explanation:
Step-by-step explanation:
area of rectangle= l*b
2and 2/3 * 7 and 3/4
8/3 * 31/4
62/3 sq . feet
20 and 2/3 feet
Plz help it about surface area of a rectangular prism
Answers
Answer:
60 but im to surw
Step-by-step explanation:
All i remember is that you have to do A=lwh so it would have to be 4x2x7.5=60
How many commutes are exactly 68 minutes
Answers
Answer:
three
Step-by-step explanation:
stem. is the tens place and the leaf is the. ones place
so you want to find 68 so you look in the stem column and look for six
in the row there are 6 numbers which mean:
60, 61, 67, 68, 68, 68
as you can see there is three 68 there for the answer ths 3
HURRY HELP ME ILL GIVE BRILLLLLLINT
What is the distance from (−6, 8) to (−6, −12)?
Answers
Answer:
I think 20
Step-by-step explanation:
Answer:(0, 20)
Step-by-step explanation:
-6 stays the same so you keep it as 0.And you add 8 and -12 to get 20 so the distance is (0, 20)
Determine whether each function is even, odd, or neither.
F(x)=√x^2 -9
g(x) = |x-3|
F(x)=x/x^2 -1
g(x) = x + x²
Answers
Answer: even, neither, odd, neither
Step-by-step explanation:
a hockey goalie scores 82% of shots at the goal, about how many shots can the goalie predict he will block in 735 tries
Answers
Answer:600
Step-by-step explanation:
A cereal box that is 12 inches tall measures 2.5 inches by 7 inches at its base. the company is considering changing the base dimensions to 3 inches by 6 inches with no change to its height. how much more or less cardboard is needed to construct the new cereal box
Answers
The new cereal box requires 11 square inches less cardboard to construct than the original cereal box.
The amount of cardboard required to build a cereal box is determined by its surface area, which includes all six sides of the box.
The original cereal box's surface area can be calculated as follows:
2 * 2.5 * 12 = 60 square inches for the front and back faces
2 * 7 * 12 = 168 square inches on the side faces
2 * 2.5 * 7 = 35 square inches for the top and bottom faces
Surface area total: 60 + 168 + 35 = 263 square inches
Using the new base dimensions, the surface area of the new cereal box can be calculated in the same way:
2 * 3 * 12 = 72 square inches for the front and back faces
2 * 6 * 12 = 144 square inches on the side faces
2 * 3 * 6 = 36 square inches for the top and bottom faces
Surface area total: 72 + 144 + 36 = 252 square inches
To calculate the difference in cardboard required to construct the two cereal boxes, subtract the new box's surface area from the original box's surface area:
263 - 252 = 11
As a result, the new cereal box uses 11 square inches less cardboard than the original cereal box.
To know more about Square Inches visit:
https://brainly.com/question/12297594
#SPJ1