Answer:
There will be 10 students in each van, and only 8 in one van
Step-by-step explanation:
26 + 32 = 58
A parking lot has 117 spaces total. If 36 of the spaces have cars in them, what is the ratio of empty spaces to filled spaces?
Answer:
81:36
Step-by-step explanation:
117-36
= 81
Boom answer that's it
The ratio of empty spaces to filled spaces is 9 : 4.
What is proportion ?
A proportion is an equation based on the equality of two ratios.
Here it is given that :
A parking lot has total = 117 spaces
Spaces filled with cars = 36
spaces left = total spaces - space filled with cars
spaces left = 117 - 36
spaces left = 81
Now, the ratio of empty spaces to filled spaces will be :
81 : 36
cancelling common factor that is 9 :
9 : 4
Therefore, the ratio of empty spaces to filled spaces is 9 : 4.
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Terry and Jim have two car loans totaling $ 26,004.
One loan has an annual percentage rate (APR) of 3.1 % and the other has an APR of 7%.
If the total interest they paid after one year is $1,481.25, what is the amount owed on each car?
(1 = PRT. Note t = 1 year).
Answer needed right away!! With explanation
The annual percentage rate is the interest rate for payment for the car
loan.
The mount owed on the car with an APR of 3.1% is approximately $8,693.08.The mount owed on the car with an APR of 7% is approximately $17,310.92.The given parameters are;
The amount of loan Terry and Jim have = $26,004
The annual percentage rate (APR) on one loan = 3.1 %
The annual percentage rate (APR) on the other loan = 7 %
Total interest paid after one year = $1,481.25
Required:
The amount owed on each car
Solution:
Let X represent the loan, with 3.1% APR, we have;
The other loan with 7% APR = 26,004 - X
Therefore;
0.031·X + 0.07·(26,004 - X) = 1,481.25
0.031·X + 1,820.28 - 0.07·X = 1,481.25
1,820.28 - 1,481.25 = 0.07·X - 0.031·X = 0.039·X
339.03 = 0.039·X
[tex]X = \dfrac{339.03}{0.039} \approx 8693.08[/tex]Therefore;
The amount owed on the car with an APR of 3.1%, X ≈ $8,693.08Therefore;
The amount owed on the car with an APR of 7% ≈ 26,004 - 8693.08 =
17310.92.
The amount owed on the car with an APR of 7% ≈ $17,310.92Learn more here:
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find the radius of a circle with an area of 100 in^2
I will give brainliest and 25 points!
Answer:
The answer is the following:
r≈5.64in
Answer:
5.641
Step-by-step explanation:
If you think about it, the formula for getting the area of a circle is:
[tex]a = \pi r^2[/tex]
So to rearrange and make r the subject, divide both sides of the equation by pi:
[tex]\frac{a}{\pi} = \frac{\pi r^2}{\pi}[/tex]
[tex]\frac{a}{\pi} = r^2[/tex]
Now square root both sides to find r:
[tex]\sqrt{\frac{a}{\pi} } = \sqrt{r^{2} }\\\sqrt{\frac{a}{\pi} } = r[/tex]
Plug the known area value in:
[tex]\sqrt{\frac{100}{\pi} } = r[/tex]
= 5.641
Hope this helps!
If Brianna spent $65 on necklaces and bracelets at a crafts fair.
She spent $23 on bracelets and the rest on necklaces.
If the necklaces all cost the same and Brianna bought 3, how much did each necklace cost?
Hemp help help help help help math math math
Answer:
x=25
Step-by-step explanation:
5x-5+ 2x+10 =180
2x-5x = 10+5
3x= 15
x=5
5(5)-5+ 2(5) +10 =180
A pair of shoes is originally sold for $85. Currently, there is a 15% off sale. How much would the pair of shoes cost after the discount? Group of answer choices
Answer:
$72.75
Step-by-step explanation:
15% of $85 is $12.75
$85 - $12.75 = $72.25
ramin must calculate 8.42 divided by 3.6 longhand but can't remember what to do about decimal points
Answer:
He should change 3.6 to 36
and
he should change 8.42 to 84.2
He should also move the decimal up when dividing like in the picture I posted.
Step-by-step explanation:
I other words, he should shift the decimal points to the right one
I hope that I could help!
He should also move the decimal up when dividing in the picture that is posted.
How can we interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.
Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.
We need to find 8.42 divided by 3.6 longhand.
8.42 / 3.6
= 2.33
He should change 3.6 to 36 and he should change 8.42 to 84.2
He should also move the decimal up when dividing in the picture that is posted.
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Can someone plsss help me
Answer:
y = -5/3 x + 40
Step-by-step explanation:
The general form is y = ax + b, where a is the slope and b is the y intercept.
So immediately you can see that b must be 40, since the line crosses the y axis at 40.
The slope can be calculated by finding two "nice" points on the line that are also grid lines.
How about (0,40) and (6, 30).
Then, calculate the slope by dividing the y difference by the x difference:
(30-40)/(6-0) = -10/6 = -5/3
So C must be the answer.
Lucus had a balance of $21 in his checking account. Since then he made deposits of $187, $445 and $454 and wrote checks for $74, $137, $139, and $240. When all of the deposits are recorded and all of the checks clear, what balance will he have in his checking account?
Based on the opening balance, the amounts deposited, and the amounts for checks, the balance in the account should be $517.
The deposits into the account will increase the balance whilst the checks will do the opposite.
The balance is therefore:
= Opening balance + Deposits - Checks
= 21 + 187 + 445 + 454 - 74 - 137 - 139 - 240
= 21 + 1,086 - 590
= $517
In conclusion, the balance will be $517.
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An editor has a stack of k documents to review. The order in which the documents are reviewed is random with each ordering being equally likely. Of the k documents to review, two are named “Relaxation Through Mathematics” and “The Joy of Calculus.” Give an expression for each of the probabilities below as a function of k. Simplify your final expression as much as possible so that your answer does not include any expressions in the form a b . (a) What is the probability that “Relaxation Through Mathematics” is first to review?
Using the probability concept, it is found that there is a [tex]\mathbf{\frac{1}{k}}[/tex] probability that “Relaxation Through Mathematics” is first to review.
A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem:
There is a total of k documents to be reviewed, hence [tex]T = k[/tex].Of those documents, 1 is named “Relaxation Through Mathematics”, hence [tex]D = 1[/tex]The probability is:
[tex]p = \frac{D}{T} = \frac{1}{k}[/tex]
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What is the slope of the line through (-3, 3) and (-1,-1)?
2
(1-1)
O A. 2
O B.-2
O c.
OD. -
According to this diagram, what is sin 23°?
67°
13
5
23°
90°
The value of sin(23°) is equivalent to 0.39.
What are trigonometric functions?There are six major trigonometric functions as -
Sine(x)Cosine(x)Tangent(x)Cotangent(x)Secant(x)Cosecant(x)We can write the relation between them as -
Sine = 1/cosecantCosine = 1/secantTangent = 1/CotangentGiven is to find the value of sin 23°.
Now, we can write the value of sin(23°) as -
sin(23°) = sin(30° - 7°)
Expanding using the compound angle formula, we can write -
sin (x - y) = sin(x) cos(y) - cos(x) sin(y)
sin(30° - 7°) = sin(30°) cos(7°) - cos(30°) sin (7°)
sin(30° - 7°) = 1/2 x 0.99 - √3/2 x 0.121
sin(30° - 7°) = 1/2 x 0.99 - √3/2 x 0.121
sin(30° - 7°) = 0.495 - 0.105
sin(30° - 7°) = 0.495 - 0.105
sin(30° - 7°) = 0.39
Therefore, the value of sin(23°) is equivalent to 0.39.
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Need help with this quick plz??
Answer:10 or someones else’s answer this not my best
Step-by-step explanation:
a. 7 + 3 x 2 + 4 = 25
7+ 3x2+4 =25
Answer:
False
Step-by-step explanation:
The sides are not equal.
A weather forecaster has a 60% chance of predicting the weather correctly today. If she is correct, then the probability of being correct the next day is 80%. If she is wrong, the chance of predicting incorrectly the next day is increased by 25% that she was wrong the previous day. What is the probability that the forecaster will predict the weather correctly in exactly two of the next three days?
Answer:
According to the National Weather Service, if you see a 40 percent chance of rain, "there is a 40 percent chance that rain will occur at any given point in the area."
Step-by-step explanation:
The probability that the forecaster will predict the weather correctly in exactly two of the next three days is 0.48 or 48%.
What is the chain rule in probability?For two events A and B, by chain rule, we have:
[tex]P(A \cap B) = P(B)P(A|B) = P(A)P(B|A)[/tex]
where P(A|B) is the probability of occurrence of A given that B already occurred.
A weather forecaster has a 60% chance of predicting the weather correctly today.
If she is correct, then the probability of being correct the next day is 80%.
If she is wrong, the chance of predicting incorrectly the next day is increased by 25% that she was wrong the previous day.
Let the chance of predicting the weather correctly today be A.
Let the chance of predicting the weather correctly the next day be B.
Then the probability that the forecaster will predict the weather correctly in exactly two of the next three days will be
[tex]P(A \cap B) = P(A)P(B|A) = 0.6 \times 0.8 = 0.48[/tex]
More about the chain rule of probability link is given below.
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PLEASE NO LINKS DONT WASTE YOUR TIME IM NOT GONNA CLICK. What are the zeros of this function?
Answer: C. x = 4 and x = 6
Step-by-step explanation:
Zeros of a function would be the value of x when f(x) is 0.
Based on the given graph, the parabola has 2 locations where the y-value is 0 and the graph hits the x-axis.
The graph hits the x-axis at 4 and at 6.
Answer:
I dont but want to.
Hope this helps! :) ;-;
Step-by-step explanation:
Seedless watermelon costs $.99 per pound. Find the cost per kilogram
please help and show the solution and answer thank uou
Answer:
$2.20/kg
Step-by-step explanation:
First, we must convert pounds to kilograms.
1 lb = 0.45 kg
If 1 lb costs $.99
then 0.45 kg costs $.99
0.45 kg = $.99
dividing both sides by 0.45
1 kg = .99 ÷ 0.45
1 kg = $2.20
Please help me
The variables x and y are proportional. Use the values to find the constant of proportionality. Then write an equation that relates x and y. Write any fractions in the simplest form.
When y=45 , x=40 .
y=kx
20=k(12)
k= 20/12 = 5/3
y= (5/3)x
y = 5x/3 or
3y=5x
math help please :) thxx
Answer: 15 inches
Step-by-step explanation:
15 × 1 ÷ 12 = 1.25 ft
1.25 ft = 1.25 × 12 = 15 in
what as 9 squared? i need this
What is the slope of the function?
O-6
O 4
O 4
O 6
Answer:
12/2 = 6
Step-by-step explanation:
2 ways to do it, graph it, or do the slop finding formula y2-y1/x2-x1
answer:
Step-by-step explanation:
I hope she is correct answer
You supervise the feeding of dogs at a kennel you use an average of 10 1/2 pounds of dog food each day.at the rate how many pounds of dog food will you use In 7 days
Answer:
73.5 pounds of dog food in 7 days
Step-by-step explanation:
10 1/2 x 7
10x 7 =70
1/2 x 7 = 3.5
70 + 3.5 =73.5 pounds of dog food in 7 days
with a diameter of 9 cm
Use their work to answer
questions 1-2
A-3.14
A-254.34
1 Describe Ben's mistake in solving for the
area of the circle.
Ben forgot that finding the area is not using the diameter, but using the radius. The radius is 1/2 of the diameter, so r=4.5. Then you would use the formula [tex]\pi*r^{2}[/tex], which would be 3.14x4.5x4.5, which is 63.585 cm squared.
Please help me due on Friday
Answer:
Galaxies are moving closer together as time progresses
Step-by-step explanation:
Let me know if this helps!
Soraya earned $40 in October. She earned $50 in
November.
What is the percent increase or decrease in Soraya's monthly earnings?
A. 15% decrease
B. 30% increase
C. 25% increase
D. 20% decrease
25% increase.
Explanation: 25% of $40 is $10. You add $10 to $40 you get $50.
What are the coordinates of the x-intercept of the line -3x-5y=12?
well, x-intercept means for a graphed funciton where the x-axis gets touched/intercepted, Check the picture below, when that occurs, y = 0, so if we want to know what "x" is at that point we can simply set y = 0 and solve for "x".
[tex]-3x-5y=12\implies \stackrel{\textit{setting y = 0}}{-3x-5(0) =12}\implies -3x-0=12 \\\\\\ -3x=12\implies x=\cfrac{12}{-3}\implies x = -4 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{coordinates}}{(-4~~,~~0)}~\hfill[/tex]
A car travels a constant speed of 45 km/h
3.4.1 The distance travelled in 6 hours?
3.4.2 The time it takes to travel 495 km?
Answer:
1 hour
Step-by-step explanation:
because i divided
What’s 28,561 in expanded form
Step-by-step explanation:
2×10,000 + 8×1000 + 5×100+6×10+1
I am having trouble with this problem. I can’t figure it out. I have tried everything but can’t figure it out. After I figure out the problem I have to check it by writing out the problem and replacing the y with the number it equals. At the end it should equal 6
The picture is a different problem but this is what the check looks like
6=-y+42+-2y
Answer:
16 = y
Step-by-step explanation:
So you have the equation 6=-y+42+-2y
Find the y first
6=-y+42+-2y
add all y's together
6=-3y+42
subtract 42 on both sides
-48 = -13y
16 = y
------------------------------------------------
Now do the check:
Plug in 16 where ever it says y in the original equation
6= -(16) + 42 + -2(16)
open the brackets
6= -16+42-32
solve
6=26-32
6 = 6
Hope this helps
Amazon Inc. has been sued for following three alleged infringements of law: (1) Unauthorized use of a trademark; the claim is for $100 million (2) Nonpayment of end-of-service severance pay and gratuity to 5,000 employees who were terminated without Amazon Inc. giving any reason; the class action lawsuit is claiming $3 million (3) Unlawful environmental damage for dumping waste in the river near its factory; environmentalists are claiming unspecified damages as cleanup costs (4) Legal counsel is of the opinion that not all the legal cases are tenable in law and has communicated to Amazon Inc. this assessment of the three lawsuits: (5) Lawsuit 1: The chances of this lawsuit are remote. (6) Lawsuit 2: It is probable that Amazon Inc. would have to pay the displaced employees, but the best estimate of the amount that would be payable if the plaintiff succeeds against the entity is $2 million. (7) Lawsuit 3: There is no current law that would compel the entity to pay for such damages. There may be a case for constructive obligation, but the amount of damages cannot be estimated with any reliability. Required: What should be the provision that Amazon Inc. should recognize or the contingent liability that it should disclose in each of the lawsuits, based on the assessments of its legal counsel?
The International Financial Reporting Standards developed standards can
be implemented to ascertain the provisions and disclosures to be made.
The correct responses are;
According to the financial reporting standard, the contingent liability that
Amazon Inc. should disclose and the provision that Amazon Inc. should
recognize, based on the legal consent are;
Lawsuit 1: It is not required to make provision or disclosure because the
probability of the lawsuit progressing is remote and therefore, the
Company will not be required to payout money or lose economic benefits.
Lawsuit 2: The likelihood of the Company having pay the displaced
employees is high however, the amount payable is $2 million, and
therefore, a provision of $2 million is required in the financial reporting.
Lawsuit 3: The Company is not legally obliged to pay for or perform the
cleanup, but based on the relationship between the Company's waste
location, the river, and the community, there is a constructive obligation,
the amount of which cannot be determined with reliability.
Therefore, there is a requirement for disclosure as a contingent liability,
and not a provision as the claim cannot be classified as a provision.
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