Christian wins his track races 95% of the time. If he ran 20 races this month, how many races did he win?
Answers
95÷100of the time
if he ran 20 races rhus month
95÷100×20 =19
Related Questions
Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
\(\frac{14x^{4}y^{6} }{7x^{8}y^{2} }\)
A.
\(\frac{2y^{4} }{x^{4} }\)
B.
\(\frac{7y^{3} }{x^{2} }\)
C.
\(7x^{4} y^{4}\)
D.
\(2x^{2} y^{3}\)
Answers
Answer:
Step-by-step explanation:
Answer is A i ran it through my phone
The prices of two radios are in the ratio x : y
When the prices are both increased by £20, the ratio becomes 5:2
When the prices are both reduced by £5, the ratio becomes 5:1
Express the ratio x : y in its lowest terms.
Answers
Prices of two ratios in the ratio is 4 : 1.
What do you mean by ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio. The part-to-part ratio denotes how two distinct entities or groups are related.
For example, the ratio of boys to girls in a class is 12: 15, whereas, the part-to-whole ratio denotes the relationship between a specific group to a whole.
For example, out of every 10 people, 5 of them like to read books. Therefore, the part to the whole ratio is 5: 10, which means every 5 people from 10 people like to read books.
Let us assume price of radios are x and y
According to the question
\(\frac{x + 20}{y+20} =\frac{5}{2}\\2x+40=5y+100\\2x-5y=60\)-------------------------- eq(1)
and
\(\frac{x-5}{y-5} =\frac{5}{1}\\5y-x = 20\)
5y-x = 20
multiplying this equation by 2
we get
10y-2x = 40 ------------------ eq(2)
adding eq 1 and 2
we get
5y=100
y=20
solving further we get x=80
Thus the ratio is 4 : 1.
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I need help plz help me!!!!
Answers
for brainliest!!!! please help :)
Answers
Answer:
area = 572.3 m²
Step-by-step explanation:
area = PiR²
r = 27/2
area = (3.14)(13.5²)
area = 572.3 m²
what is 1/10 - 13/14
Answers
Answer:
0.828
hope it helps........
Answer:
-29/35
Step-by-step explanation:
i hope this helps
3(y+1/4)>3/4 determine the value of y for the inequality
Answers
Therefore, the solution to the inequality 3(y + 1/4) > 3/4 is y > 0.
What is inequality?An inequality is a mathematical statement that shows a relationship between two values, which are not necessarily equal. Inequalities are represented using symbols such as > (greater than), < (less than), ≥ (greater than or equal to), and ≤ (less than or equal to). Inequalities are commonly used in algebra and other areas of mathematics, as well as in real-world applications such as finance, economics, and science. They can be used to represent constraints or limits on a variable, such as the maximum or minimum value that it can take.
Here,
We can solve the inequality 3(y + 1/4) > 3/4 by first distributing the 3 to the expression inside the parentheses:
3y + 3/4 > 3/4
Next, we can simplify by subtracting 3/4 from both sides:
3y > 0
Finally, we can solve for y by dividing both sides by 3:
y > 0/3
y > 0
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A bus is scheduled to leave the terminal at 10:15 in the morning and travel for 5 3/4 hours to Bally city. If the bus leaves the terminal 35 minutes late, when will it arrive in Bally city?
Answers
Answer:
Step-by-step explanation:
3/4 hours=3/4×60=45 minutes
10:15+5.45 hrs=16:00+0:35=16:35=4.35 pm
so C
How many times do you multiply 5 by itself if the exponent is 56?
Answers
This is because the exponent indicates how many times you multiply a number. For example:
5^2= 5x5
Answer:
56 times
Step-by-step explanation:
An exponent are a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression (e.g. 3 in 23 = 2 × 2 × 2).
A high school is voting on a new mascot. Lion Eagle Bee Ninth Grade 45% 32% 23% Tenth Grade 36% 40% 24% Eleventh Grade 50% 28% 22% Twelfth Grade 40% 25% 35% Match the two-way table to the segmented bar graph.
Answers
The steps to create a bar graph are explained below.
To match the two-way table to the segmented bar graph, we need to create a segmented bar graph that represents the data in the table. The table shows the percentage of students in each grade who voted for each mascot option.
Here is how we can match the two-way table to the segmented bar graph:
For the Lion mascot option, the segmented bar graph would have the largest segment for 11th grade, followed by 9th grade, 10th grade, and 12th grade.For the Eagle mascot option, the segmented bar graph would have the largest segment for 10th grade, followed by 11th grade, 9th grade, and 12th grade.For the Bee mascot option, the segmented bar graph would have the largest segment for 12th grade, followed by 9th grade, 10th grade, and 11th grade.By creating a segmented bar graph that represents the data in the two-way table, we can visually compare the percentage of students who voted for each mascot option across different grade levels.
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Write the expression without using exponents.
(−9x)4
Answers
The expression (-9x)^4 can be represented as -6561x^3 without using exponents.
To express the expression (-9x)^4 without using exponents, we can expand it by multiplying the base (-9x) four times using the multiplication property.
(-9x)^4 = (-9x) * (-9x) * (-9x) * (-9x)
To simplify this expression, we can multiply the terms together, taking care to apply the rules of multiplication:
(-9x) * (-9x) = (-9 * -9) * (x * x) = 81 * x^2 = 81x^2
So, by substituting this result back into the original expression, we get:
(-9x)^4 = 81x^2 * (-9x) = -6561 x^3
Therefore, the expression (-9x)^4 can be represented as -6561x^3 without using exponents.
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Which of the following is equivalent to 6^2/5
Answers
Where are the options?
The measure of an angle and it’s complement differ by 22 degrees. Find the larger angle.
Answers
The measure of an angle and its complement differ by 22 degrees and the larger is 56°
What are Complementary Angles?The total of the two angles' measurements determines their complement and supplement. The pair of angles is said to be complimentary if the product of the two angles equals the measurement of a right angle.
1. If the total of two angles equals 90°, the angles are considered to be complements of one another.
2. Let x° and y° be the two angles. Since they complement one another, the two angles' sum will be 90 degrees.
= x + y = 90°. (Assume equation 1 is used.)
3. The two angles differ by 22 degrees, hence the equation will be,
= x - y = 22°. (Put equation 2 in.
4. To determine the values of x and y, solve equations 1 and 2.
Add equations 1 and 2 together.
= x + y + x - y = 90 + 22,
= 2x = 112°,
= x = 56°.
5. In equation 1, change the value of x.
= 56° + y = 90°,
= y = 90 -56,
= y = 34°.
So, the measure of the two angles is 56°, and 34°.
And the larger angle is 56°
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Lou Barlow, a divisional manager for Sage Company, has an opportunity to manufacture and sell one of two new products for a five-year period. His annual pay raises are determined by his division’s return on investment (ROI), which has exceeded 22% each of the last three years. He has computed the cost and revenue estimates for each product as follows:
Product A Product B
Initial investment:
Cost of equipment (zero salvage value) $ 340,000 $ 540,000
Annual revenues and costs:
Sales revenues $ 380,000 $ 460,000
Variable expenses $ 170,000 $ 206,000
Depreciation expense $ 68,000 $ 108,000
Fixed out-of-pocket operating costs $ 86,000 $ 66,000
The company’s discount rate is 20%.
Required:
1. Calculate the payback period for each product.
2. Calculate the net present value for each product.
3. Calculate the internal rate of return for each product.
4. Calculate the profitability index for each product.
5. Calculate the simple rate of return for each product.
6a. For each measure, identify whether Product A or Product B is preferred.
6b. Based on the simple rate of return, which of the two products should Lou’s division accept?
Answers
The payback period for Product A is 2.21 years and the payback period for Product B is 1.85 years, NPV of A = $21,215 and NPV of B = -$50,256. Product A: IRR = 28.28%, Product B: IRR = 29.58%, A: PI = 1.00, B: PI = 0.91, A: SRR = 0.49 or 49%, B: SRR = 0.44 or 44%.
What is payback period?Payback period is a financial metric used to evaluate the time required to recover the initial investment made in a project or investment opportunity.
According to given information:To calculate the payback period, we need to find out how long it takes for the initial investment to be recovered by the annual cash inflows. We calculate the cumulative cash inflows for each year and determine in which year the cumulative cash inflows exceed the initial investment.
Product A:
Year 1: $380,000 - $170,000 - $68,000 - $86,000 = $56,000
Year 2: $380,000 - $170,000 - $68,000 - $86,000 = $56,000 + $56,000 = $112,000
Year 3: $380,000 - $170,000 - $68,000 - $86,000 = $56,000 + $112,000 = $168,000
Year 4: $380,000 - $170,000 - $68,000 - $86,000 = $56,000 + $168,000 = $224,000
Year 5: $380,000 - $170,000 - $68,000 - $86,000 = $56,000 + $224,000 = $280,000
The payback period for Product A is 2.21 years (rounded to two decimal places).
Product B:
Year 1: $460,000 - $206,000 - $108,000 - $66,000 = $80,000
Year 2: $460,000 - $206,000 - $108,000 - $66,000 = $80,000 + $80,000 = $160,000
Year 3: $460,000 - $206,000 - $108,000 - $66,000 = $80,000 + $160,000 = $240,000
Year 4: $460,000 - $206,000 - $108,000 - $66,000 = $80,000 + $240,000 = $320,000
Year 5: $460,000 - $206,000 - $108,000 - $66,000 = $80,000 + $320,000 = $400,000
The payback period for Product B is 1.85 years (rounded to two decimal places).
To calculate the net present value (NPV), we need to discount the cash inflows and outflows using the company’s discount rate of 20% and then subtract the initial investment.
Product A:
\(NPV = -$340,000 + ($56,000/(1+0.20)^1) + ($112,000/(1+0.20)^2) + ($168,000/(1+0.20)^3) + ($224,000/(1+0.20)^4) + ($280,000/(1+0.20)^5)\)
NPV = -$340,000 + $38,611 + $64,357 + $79,396 + $81,193 + $77,658
NPV = $21,215
Product B:
\(NPV = -$540,000 + ($80,000/(1+0.20)^1) + ($160,000/(1+0.20)^2) + ($240,000/(1+0.20)^3) + ($320,000/(1+0.20)^4) + ($400,000/(1+0.20)^5)\)
NPV = -$540,000 + $66,667 + $111,111 + $114,882 + $99,425 + $97,659
NPV = -$50,256
To calculate the internal rate of return (IRR), we need to find the discount rate that makes the NPV of the cash inflows and outflows equal to zero. We can use a financial calculator or spreadsheet software to solve for the IRR.
Product A: IRR = 28.28%
Product B: IRR = 29.58%
To calculate the profitability index (PI), we divide the present value of the future cash inflows by the initial investment.
Product A:
PV of future cash inflows = $38,611 + $64,357 + $79,396 + $81,193 + $77,658 = $341,215
PI = $341,215/$340,000
PI = 1.00
Product B:
PV of future cash inflows = $66,667 + $111,111 + $114,882 + $99,425 + $97,659 = $489,744
PI = $489,744/$540,000
PI = 0.91
To calculate the simple rate of return (SRR), we divide the average annual cash inflow by the initial investment.
Product A:
Average annual cash inflow = ($56,000 + $112,000 + $168,000 + $224,000 + $280,000)/5 = $168,000
SRR = $168,000/$340,000
SRR = 0.49 or 49%
Product B:
Average annual cash inflow = ($80,000 + $160,000 + $240,000 + $320,000 + $400,000)/5 = $240,000
SRR = $240,000/$540,000
SRR = 0.44 or 44%
6a.
Based on the payback period, Product B is preferred because it has a shorter payback period of 1.85 years compared to Product A’s payback period of 2.21 years.
Based on the net present value, Product A is preferred because it has a positive NPV of $21,215 compared to Product B’s negative NPV of -$50,256.
Based on the internal rate of return, Product B is preferred because it has a higher IRR of 29.58% compared to Product A’s IRR of 28.28%.
Based on the profitability index, Product A is preferred because it has a PI of 1.00, indicating that for every dollar invested, we receive one dollar in return. Product B has a PI of 0.91, indicating that for every dollar invested, we receive only $0.91 in return.
Based on the simple rate of return, Product A is preferred because it has a higher SRR of 49% compared to Product B’s SRR of 44%.
6b. Based on the simple rate of return, Lou’s division should accept Product A because it has a higher SRR of 49% compared to Product B’s SRR of 44%. However, other measures such as the net present value and internal rate of return suggest that Product A may not be the best choice.
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Watch help video
The point A is plotted on the coordinate grid below. Plot the point A', the reflection
of A over the x-axis.
Click on the graph to plot a point. Click a point to delete it.
5
3
N
A
T
3
2
1
2
A
3
5
Answers
Answer:
The answer is point A' (3, -2).
I am not sure if my son got the first answers right and he is stuck on the last three. The teacher did not provide good instructions. Can anyone help us out? Thank you.
Answers
Answer:
1. Is correct
2. Isn't correct, (It would be number 1)
3. I'm unsure, (But I believe its number 1)
Step-by-step explanation:
2. These are angles across from each other.
3. These are Angles of the same side that don't over lap.
Which equation can be used to check whether 1/8 divided 6= 1/48?
Answers
Answer:
Step-by-step explanation:
8 x 6 = 48 because you just add a 1
Answer:
\(\frac{1}{48}*6 = 1/8\)
Step-by-step explanation:
If \(\frac{1}{8}/6 = \frac{1}{48}\), then, \(\frac{1}{48}*6 = 1/8\)
There is a line whose slope is 0 and whose y-intercept is -3. What is its equation in slope-intercept form?
Answers
Answer:
y=-3
Step-by-step explanation:
slope of zero indicates the line is horizontal and will pass through the y-axis at -3 (0,-3)
8.
Identify the point corresponding to Q.
A. Q′ (−4, 1)
B. Q′ (−1, −4)
C. Q′ (−3, −4)
D. Q′ (−4, −3)
Answers
Answer:
C. Q′ (−3, −4)
D. Q′ (−4, −3)
Step-by-step explanation:
From looking at the graph it looks like the answer would be
Q= (3, -4) if the X-axis goes first
Q= (-4, 3) if the Y-axis goes first
three and two forths - one and two thirds =
3 2/4 - 1 2/3 =
Answers
Answer:
1.83333333333
Step-by-step explanation:
pls mark me brainliest
ok thanks :) :) :) :)
please help me im almost done!
Answers
Answer:
if you divide both sides of -5x > 0 you get z > 0. This is incorrect because if you choose a value from the possible solutions such as z=6 and substitute it into the original equation you get -30 > 0, which is not true
I put the answers in bold
hope this helps!
Step-by-step explanation:
What is the slope of the line described by the equation below?
y= 10x + 2
A. -10
B. 10
C. 2
O D. -2
Answers
Answer:
B because when you compare y= mx+ c where M is the slope or gradient
which is bigger 2.35 or 2.346 decimals
Answers
Answer:
2.35
Step-by-step explanation:
bruh
Answer:
2.35 is larger.
Step-by-step explanation:
Plug in a zero at the end of 2.35 and you'll be able to see that it's is bigger than 2.346.
SOMEONE PLEASE HELP
The number of chips of different colors in Gail's bag is shown below
-2 blue chips
-4 pink chips
-8 white chips
Gail takes out a chip from the bag randomly without looking, She replaces the chip and then takes out another chip from the bag. What is the probability that Gail takes out a white chip in both draws?
Answers
Answer:
8 over 15 multiplied by 7 over 14 is equal to 56 over 210
8 over 15 plus 7 over 14 is equal to 217 over 210
8 over 15 plus 8 over 15 is equal to 16 over 15
8 over 15 multiplied by 8 over 15 is equal to 64 over 225
She's taking it out and then she replaces it
and so that means the denominator would stay 15 both times
and since it's a white chip in both draws, it would be 8/15 * 8/15
Please see screenshot
Answers
The graph of the feasible region is attached
How to determine the graph of the feasible regionFrom the question, we have the following parameters that can be used in our computation:
\(\left\{ \begin{array}{lr} y + 7x \ge 10 \\ 8y + 2x \ge 20 \\ y + x \ge 4 \\ y + x\le 10 \\ x \ge 0 \\ y \ge 0\end{array}\)
To plot the graph of the feasible region, we plot each inequality in the domain x ≥ 0 and y ≥ 0
Using the above as a guide, the graph is attached
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Sally ran 1/3 of a mile and swam 5/6 of a mile. In simplest form, how much farther did
she swim than she ran?
4
5/18
3/6
1/2
4/3
Music ofl
10:51 AM
^! 4 11/18/20303
RI
Type here to search
Answers
Answer:
3/6
Step-by-step explanation:
1/3 can be converted to 2/6. From the you would subtract 2/6 from 5/6 which would give you your awnser of 3/6.
Help please!! Inverse of Matrix problem!!
Number 8 please!!
Answers
Step-by-step explanation:
Inverse of p matrix is in picture
i wish it will make u easy to do♥️✌️
How do I solve this question
Answers
3y+1+56=180
3y+57-57=180-57
3y/3=123/3
Y=41
Round 9.948 to the nearest whole number.
Answers
Answer: 9.900
i had this before the answer is right.Solve the equation. Simplify your answer.
3(x - 2) = 6(5 + x)
x = [?]
Answers
Answer:
-12 =x
Step-by-step explanation:
3(x - 2) = 6(5 + x)
Distribute
3x -6 = 30 +6x
Subtract 3x from each side
3x-6-3x = 30 +6x-3x
-6 = 30+3x
Subtract 30 from each side
-6 -30 = 30+3x-30
-36 = 3x
Divide each side by 3
-36/3 = 3x/3
-12 =x
The function h(x) is a transformation of the square root parent function, f(x) = pi x. What function is h(x)?
Answers
Answer:
A
Step-by-step explanation:
you can see graph of f(x) changed one unit to the left, since it goes to the left, you should +1 in terms of x. so sqr x+1 is the solution. one way to think about that is you plus one for every x value, that means you get to a point previously for one unit. and turns out it looks like you moves to the left.
Hope that helps