Type A car has the highest number of miles per gallon.
Given that the miles driven by a Type A car is 106 miles for 5 Gallons of Gasoline.
⇒ miles per gallon for a Type A car = 106/5 = 21.2 miles/gallon
Given that the miles driven by a Type B car are 204 miles for 10 Gallons of Gasoline.
⇒ miles per gallon for a Type B car = 204/10 = 20.4 miles/gallon
Given that the miles driven by a Type C car are 298 miles for 15 Gallons of Gasoline.
⇒ miles per gallon for a Type A car = 298/15 = 19.87 miles/gallon
(approximate to the two places of decimal value)
Given that the miles driven by Type D car are 392 miles for 20 Gallons of Gasoline.
⇒ miles per gallon for a Type D car = 392/20 = 19.6 miles/gallon
Therefore we have the following:
Type A - 21.2 miles/gallon
Type B - 20.4 miles/gallon
Type C - 19.87 miles/gallon
Type D - 19.6 miles/gallon
It is clear from the above data, that type A car has the highest number of miles per gallon.
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Please help its math...I will give brainliest!
For a holiday sale, all items at Marty’s Electronics are discounted by 25%. Paula bought a laptop that had an original list price of $1,700. If 8% tax was applied to the sale after the discount was taken off, how much did Paula pay for her new computer? SHOW YOUR WORK! Thank you
Answer:
$1,377
Step-by-step explanation:
the way that I did it-
100-25=75
1700x0.75=1275
8%=0.08, just add a 1 to the sales tax whenever you are calculating that.
1275x1.08=1377
therefore it is $1,377
brainliest would be appreciated :)
PLEASE HELP WITH MY MATH HOMEWORK
ill give brainliest
Answer:
The answer is that the ball was in the air for 0.56 seconds when it was 54 feet above the ground. This was determined by using the Quadratic Formula to solve the equation 54 = -16s^2 + 96s for the variable s.
Step-by-step explanation:
To solve this equation, we can use the Quadratic Formula, which states that for a quadratic equation in the form ax^2 + bx + c = 0, the solutions are given by:
x = (-b +/- sqrt(b^2 - 4ac)) / (2a)
In this case, a = -16, b = 96, and c = -54. Plugging these values into the Quadratic Formula, we get:
s = (-96 +/- sqrt(96^2 - 4 * -16 * -54)) / (2 * -16)
= (96 +/- sqrt(9216 + 4352)) / -32
= (96 +/- sqrt(13,568)) / -32
Since we want the time (in seconds) that the ball was in the air, we need to find the positive solution to this equation. Thus, we have:
s = (96 + sqrt(13,568)) / -32
= (96 + 120) / -32
= 0.5625 seconds
Rounding this value to the nearest hundredth of a second, we get 0.56 seconds. This means that the ball was in the air for 0.56 seconds when it was 54 feet above the ground.
To solve this equation, we used the Quadratic Formula. This method allowed us to find the time (in seconds) that the ball was in the air by solving for the value of the variable s in the given equation. This helped Vue answer his question by providing a numerical value for the amount of time that the ball was in the air when it was 54 feet above the ground.
Will give brainliest!!!
Four friends worked together to wash all of the cars that the Kumar family owns. They received $43.00 for doing the work and agreed to divide the earnings evenly. How much money will each friend earn? Show how you know.
each friend will get
$ 10.75 because 43.00 is 10.75 if u divide it by 4 u will get 10.75
Answer:
$10.75
Step-by-step explanation:
If there are 4 friends evenly dividing $43.00 then you divide
43 by 4 to get
$10.75
Adam is planning a pool party to celebrate the last day of school. He wants to give out beach towels to his guests as party favors. Adam ordered 14 beach towels from Sunshine Party Supply. Since this was a bulk order, Sunshine Party Supply reduced the price of each towel by $3.25. Adam paid $105 in all. How much does Sunshine Party Supply normally charge for a beach towel?
Answer:
10.75
Step-by-step explanation:
first step is to find how much adam paid for each towel
so, the equation used will be x/y=c
where x is total cost, y is number of products bought, and c equals individual cost (with discount)
we end up with 105/14= 7.5$ per towel.
and to close out, we add the given discount of 3.25 to the discounted price of 7.5
which brings the usual price per towel to 10.25
Answer:
Step-by-step explanation:
18 ft
14 ft
Find the area.
10 ft
Remember: A = πr²
A = [?] ft²
Round to the nearest
hundredth.
Use 3.14 for T.
The area of the given shape is 109.25 ft² .
What is Area?
Area is a measurement of the amount of space inside a two-dimensional figure or shape. It is the size of the surface of the shape, and it is measured in square units, such as square meters, square centimeters, or square inches.The area of a shape can be found by multiplying the length and width of a rectangle or the base and height of a triangle, or by using specific formulas for other shapes such as circles, trapezoids, or parallelograms
Given : height of triangle = diameter of semicircle = 10 ft
radius of semicircle = 5 ft
base of triangle = 14 ft
we know that, The area of given shape :
= area of given triangle + area of semi circle
= 1/2 × base × height + πr²/2
= 1/2 × 14 × 10 + (3.14 × 5²)/2
= 70 + 39.25
= 109.25 ft²
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How many different 4-digit PIN codes are there that only include the digits 3, 4, 6, 7, 9 and 2
if each of those digits is only allowed to be used once?
Answer:
840
Step-by-step explanation:
I got the answer from Hegarty
There are different 4-digit PIN codes are there that only include the digits 3, 4, 6, 7, 9 and 2.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Numbers to make 4 - digit PIN codes are,
⇒ 3, 4, 6, 7, 9 and 2.
Now,
Since, There are 6 number to choose to make 4 - digit PIN codes.
Hence, Number of different choices to make 4 - digit PIN codes is,
⇒ \(^6P_{4} }\)
⇒ 6! / (6-4)!
⇒ 6! / 2!
⇒ 6 × 5 × 4 × 3 × 2! / 2
⇒ 360
Thus, There are 360 choices to make 4 - digit PIN codes.
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You go shopping and buy a gift for a friend, but on the day before you're going to give it to him, you notice that he already has exactly what you bought him! You take the gift back to the mall, but you lost your receipt. The cashier says that you can only get back cash for the lowest amount that the item sold for. The item was originally $50 and sales tax in your area is 9.5%. It went on sale on four different occasions. Keep in mind that when an item goes on sale, it is taxed first and then the discount is taken. The first sale was 10% off. The second sale was no tax. The third sale was buy 3, get 1 half off. The last one was buy anything over $40 and get a $5 gift card. How much cash will you get back? Activate Windove Go to Settings to active
The total cashback you will get back is\($ 49.75}\)
The Given, original price \($=\$ 50$\) Sales fax\($=9.5 \%$\\\)
For first sale
\(\begin{aligned}\text { Price of item } & =\$ 50 \\\text { sales tax } & =+\$ 4.75 \\10 \% \text { discount } & =\frac{-\$ 5}{\$ 49.75}\end{aligned}\)
A sale is a transaction between two or more parties that involves the exchange of tangible or intangible goods, services, or assets for money. In some cases, assets other than cash are paid to a seller.
In the financial markets, a sale can also refer to an agreement that a buyer and seller make regarding a financial security, its price, and specific arrangements for its delivery.
Regardless of the context, a sale is essentially a contract between a seller of a particular good or service and a buyer who is willing to pay for that good or service.
for second Sale:-
There is no tax
So price\($=\$ 50$\)
For third sale: - Buy 3 and get 1 half of
\(\begin{aligned}\text { Price }=50 \times 3 & =\$ 150 \\\text { Sales tax }= & +\$ 14.25 \\\text { Discount } & =\frac{-\$ 25}{\$ 139.25}\end{aligned}\)
So, price of 1 piece \($=\$ 46.42$\)
for fourth Sale; - Buy anything over \(\$40\) and get \($\$ 5$\) gift card.
\(& \text { Price }=\$ 50 \\& \text { sales tax }=+\$ 4.75 \\& \text { Gift card }=\frac{-\$ 5}{\$ 49.75}\end{aligned}\)
Therefore, the cashback you will get back is \($ 49.75}\)
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You pick a card at random. Without putting the first card back, you pick a second card at
random.
123
What is the probability of picking a 2 and then picking a 1?
Write your answer as a fraction or whole number.
Answer:
1/6
Step-by-step explanation:
Firstly, Pr(e) = n(e)/Total outcome
Pr(2) = 1/3
Pr(1) = 1/2
Pr(1 and 2) = 1/3 * 1/2 = 1/6
Sonia and Layla are both running for class president. The senior class has 220 students. After 60% of
the students have voted, Sonia has received 25% of the casted votes, and Layla has received 75%. How
many more votes does Sonia need to receive 50% of the total votes?
Answer: 33 votes
Step-by-step explanation:
First, we have to calculate 60% of 220 to Kno.the number of people who voted. This will be:
= 60% × 220
= 0.6 × 220
= 132 students
Sonia has received 25% of the casted votes. The number of votes Sonia got will be:
= 25% × 132
= 0.25 × 132
= 33 votes
Layla has received 75%. Her votes will be:
= 75% × 132
= 0.75 × 132
= 99 votes.
50% of the total votes will be:
= 50% × 132
= 0.5 × 132
= 66 votes
The number of votes needed by Sonia to receive 50% of the total votes will be:
= 66 - 33
= 33 votes
There is a cell phone manufacturer whose cost to manufacture x number of phones is 2000x + 750000, and the revenue generated from manufacturing x number of cell phones is -0.09x squared + 700x
The profit function made by the cell phone manufacturer is given by -0.09x² -1300x - 750000
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.
The profit function is given as:
Profit = Revenue - Cost
Cost = 2000x + 750000, Revenue = -0.09x² + 700x, hence:
Profit = -0.09x² + 700x - (2000x + 750000) = -0.09x² -1300x - 750000
The profit function made by the cell phone manufacturer is given by -0.09x² -1300x - 750000
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Solve for m in the equation below. Then enter your answer below, round any decimals to
the nearest tenth.
2m = -m + 99
2m = -m + 99
2m + m = 99
3m = 99
m = 99/3
m = 33
Solve for x. X + 47 = -23
X=
Answer:
x=-70
Step-by-step explanation:
x+47=-23
-47 -47
_______________
x=-70
Hope this helps :D
Answer:
X=70
Step-by-step explanation:
Hi i have this class work of my cousing
but i need some help beacause i forgot this
the first question is 5_8
Answer:
5 < 8
-4 < 0
0 < 4
-5 < 5
-9 > -19
-5 > -8
Step-by-step explanation:
Remember, the "Alligator" or better known as the "Packman" symbol ( > < )
It will always want to "eat" the bigger number. so, 8 is bigger than five, so the "Packman" will want to go after the bigger number. 5 < 8
Simplify 10^–8.
1/-100000000
1/100000000
1/-80
1/80
Answer:
C
Step-by-step explanation:
Answer:
correct answer is B - 1/100,000,000
Step-by-step explanation:
edge 2020
Select the numeral form of this number written in scientific notation.
6.4 × 107
1/ 6,400,000
2/ .000000064
3/ 0.000000064
4/ 64,000,000
Answer:
If it was supposed to be 6.4 x 10^⁷ then answer 4 is correct.
The puppy needs to catch a train that is moving at 8 km/h. She is 100m away and running at 10 km/h. How far will the train have traveled before the puppy is able to jump on?
Answer:
400 meters
0 meters if the puppy can jump really really far ha ha ....
P = 10000x - 100
T = 8000x
10000x - 100 = 8000x
2000x = 100
x = 1/20 hr
60/20 = 3 minutes
Step-by-step explanation:
Somebody please help me out !! (Theres a photo attached)
Answer: many solutions
Ok done. Thank to me :>
GEOMETRY
Parallelogram PQRS is a square . The length of side PQ = 2x + 8 and the perimeter of ABCD = 96. What is the length of side PQ?
40
52
44
24
Answer:
24
Step-by-step explanation:
I think you meant PQRS not ABCD?
If so, perimeter is the sum of all four sides of a square. Since square has same side lengths,
Perimeter = 4(2x+8)
96=8x+32
64=8x
x=8
So plugging this back into expression,
2(8)+8= 24
how much more money will you make if you invest $740 at 5.1% interest compounded contiuously for 12 years than if he same amount was invested at 5.1% compounded daily for the same amount of time?
The amount of money we can make is $0.05.
We have,
P= $710
R= 5.1%
T= 12 year
Compounded Continuously:
A = P\(e^{rt\)
A = 710.00(2.71828\()^{(0.051)(12)\)
A = $1,309.32
Compounded Daily:
A = P(1 + r/n\()^{nt\)
A = 710.00(1 + 0.051/365\()^{(365)(12)\)
A = 710.00(1 + 0.00013972602739726\()^{(4380)\)
A = $1,309.27
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Can someone please explain this
Answer:
-1
Step-by-step explanation:
can you also hep me on something
Solve the inequality for y.
8y> 48
Simplify your answer as much as possible.
Answer:
y>6
Step-by-step explanation:
y>48/8
y>24/4
y>12/2
y>6
Answer:
6
Step-by-step explanation:
divide both side by 8 for y to stand alone then 8 will cancel 8 and 48 divided by 8 = 6
8y\8 > 48/8
y= 6
What's the slope of -1,0 and 3,-2
Answer:
-2/4
Step-by-step explanation:
What's the slope of -1,0 and 3,-2
Answer:
-0.5
Step-by-step explanation:
A point on a straight line has an x-coordinate of 3 and a y-coordinate of 6. Is the
relationship between x and y proportional?
Yes, because 3 is proportional to 6.
Yes, because 3 is proportional to 3 + 6.
It cannot be determined. At least one other point on the line is needed
to determine if x is proportional to y.
A
B
C
D It cannot be determined. At least two other points on the line are needed
to determine if x is proportional to y.
It cannot be determined. At least one other point on the line is needed to determine if x is proportional to y
Given data ,
A point on a straight line has an x-coordinate of 3 and a y-coordinate of 6
Now , A single point on a straight line does not define the connection between x and y. We must evaluate the connection between x and y for several places on the line in order to establish if x is proportional to y.
As a result, the relationship between x and y cannot be inferred only from the supplied location (3, 6). To establish the proportionality between x and y, at least one more point on the line is required
Hence , the equation of line is solved
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through a combination of fertility rate and decreased poverty levels, a population’s energy use is growing exponentially 1% per year. how many years until the energy use doubles?
For the energy use to double it will take approximately 69.66 years.
To find out how many years it will take for the energy use to double, we can use the formula for exponential growth:
P = P₀ * (1 + r)^t
where P is the final amount of energy use, P₀ is the initial amount of energy use, r is the growth rate (1% per year in this case), and t is the number of years.
Setting P = 2 * P₀ and solving for t, we get:
2 * P₀ = P₀ * (1 + r)^t
Dividing both sides by P₀:
2 = (1 + r)^t
Taking the natural logarithm of both sides:
ln(2) = t * ln(1 + r)
Dividing both sides by ln(1 + r):
t = ln(2) / ln(1 + r)
Plugging in the values for r = 0.01 and using the natural logarithm function, we get:
t = ln(2) / ln(1 + 0.01) = 69.66 years
So it will take approximately 69.66 years for the energy use to double.
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The table shows the relationship between the number of calories Darrell Burns while kayaking and the number of minutes he kayaks
How many calories will Darrell burn in 1 minute while kayaking? Please I need help :(
The number of calories that Darrell will burn in 1 minute while kayaking is given as follows:
4 calories.
How to obtain the number of calories?The number of calories that Darrell will burn in 1 minute while kayaking is obtained applying the proportions in the context of the problem.
For each input-output pair in the table, the constant of proportionality is of 4, hence the number of calories that Darrell will burn in 1 minute while kayaking is given as follows:
4 calories.
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question 9 of 10 explain how you can determine the sign of the sum of two integers if one integer is positive and the other integer is negative.
To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.
If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.
On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.
In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.
By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.
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James wants to buy a new cell phone package. There are three packages available, each offering a different deal.Package 1$160 for 4 monthsPackage 2$128 for 4 monthsPackage 3$60 for 2 monthsWhich package offers the best deal?A.Package 3B.Package 1C.Package 2D.Both Package 1 and Package 2
Answer:
to get which one is the best we have to bring them packages to the same terms
so to do that we have to find what each package offers per month by divided the amount by the number of months
so
160/4= 40
128/4=32
60/2=30
so the best package is
B. package 1
c. Is 247 a prime or composite number? Explain.
Answer:
247 is a composite number
Step-by-step explanation:
Prime numbers have only 2 factors, the number itself and 1.
247 can be divided by 13 and 19 as well, making it a composite number.
Hello there! ◉‿◉
247 is a composite number.
Keep in mind that prime numbers can only be divided by 1 and themselves.
247 is indeed divisible by 1 and itself; however, it's also divisible by 13, 19.
Therefore, 247 is composite.Hope this helps you!
~Just a felicitous girlie
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\(SilentNature :)\)
Here are two sums 12/15 + 1/3 and 6/7-1/3which of the two sums is closer in value to 1/2
Answer:
The second one
Step-by-step explanation:
Answer:
Simplify
58 /35
(Decimal: 1.657143)
Step-by-step explanation:
Can someone help me?