Answers
27/8 • 13/3
9/8•13
=117/8
=14 5/8
To make this easier to solve, let's change the mixed numbers into improper fractions. This is done by multiplying the denominator (8) by the whole number (3) and then adding that to the numerator (3), keeping the denominator the same. Do the same thing with the second fraction.
27/8 × 13/3
Now you can multiply.
(27 × 13)/(8 × 3)
351/24
Now think of how many times 24 can go into 351. You can find this out by plugging it into a calculator. You should get 14.625. Since we need a whole number though, round down to 14.
14 × 24 = 336
This means that there will be 15 left over.
So far the fraction looks like this:
14 15/24
The last thing you need to do is simplify. A number that can go into both 15 and 24 is 3, so divide them by that.
14 5/8
The answer is
D. 14 5/8
Related Questions
Carly is 3 times older than her brother's age. The sum of their ages is no more than 24 years.
a. x+3x≤24
b. x+x+3≤24
c. x+3x<24
d. x+x+3<24
Using the inequality, find the oldest age Carly's brother can be
Answers
Which of the following statements best represents the relationship between a relation and a function.
1. A function is always a relation but a relation is not always a function.
2. A relation is always a function but a function is not always a relation.
3. A relation is never a function but a function is always a relation.
Answers
Answer:
1. A function is always a relation but a relation is not always a function.
Step-by-step explanation:
A function is a relation in which each element of the domain is mapped to one element of the range.
This means that every function is a relation, but not every relation is a function.
A cell phone service provider offers two plans. Plan A includes a fee of $25 per month and charges $0.25 for every call. Plan B includes a fee of $40 per month and offers unlimited calls. For what number of phone calls is the cost of plan B less than the cost of plan A?
Answers
The total cost of Plan A is mx+b, where b is the inital monthly cost of the plan and m is the rate charged per call. x is the number of phone calls received in the month. With this in mind, we know that the total cost of one month of Plan A is f(x)=.25x+25
The total cost of Plan B is simpler. It's just $40.
Now we need to figure out the number x that will make Plan B<Plan A.
40<.25x+25
x=60
Therefore, Plan B costs less than Plan A after 60 phone calls have been made.
There are 60 phone calls is the cost of plan B less than the cost of
plan A.
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
Plan A includes fee of $25 per month and charges $0.25 for every phone call.
And, Plan B includes a fee of $40 per month and offers unlimited calls.
Let number of phone calls for the cost of plan B less than the cost of
plan A = x
So, For plan A; we can formulate;
The total cost of the plan A ,
f (x) = 25 + 0.25x
And, For plan B;
The total cost of the plan B,
f (x) = 40
Now, To check the number of phone calls for the cost of plan B less than the cost of plan A, we can formulate;
40 < 25 + 0.25x
Solve for x, it gives the number of phone calls.
40 < 25 + 0.25x
Subtract 25 both side;
40 - 25 < 25 + 0.25x - 25
15 < 0.25x
Divide by 0.25;
60 < x
So, We can say that;
There are 60 phone calls is the cost of plan B less than the cost of
plan A.
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The football team lost 4 yards on 2 plays in a row. Which of the following could represent the change in field position?
Answers
On 2 plays that is times 2
So all together is -4×2
A negative times a positive is negative
-4×2= -8
Hope this helped you☺
The football team lost 4 yards on 2 plays in a row, resulting in a change in field position of -8 yards.
Explanation:The football team lost 4 yards on 2 plays in a row. To determine the change in field position, we need to subtract the total yardage lost from the starting field position. Assuming the starting field position was at the 50-yard line, the change in field position would be -4 yards x 2 plays = -8 yards. Since the team lost yardage, the change in field position would be a negative value.
Julian walks a total of 900 meters to work each day. How far does he walk in 10 days
Answers
D) 9
The problem says 900 "meters" not kilometers. So you would divide the final answer by 1000.
900 * 10 = 9000 meters
9000/1000 = 9 km
A square is 8 inches along each side. A rectangle is 6 inches wide and 10 inches long. Which shape has the greater perimeter? Explain.
Answers
Square- 8+8+8+8= 32
8x4= 32
Rectangle- 6+6+10+10= 32
is (-4, 10) a solution to the equation 10 - 5x=y
Answers
10+20=10
30 does not equal 10
The answer is no
10 - 5(-4) = 10
10 - (-20) = 10
10 + 20 = 10
30 = 10
so there isn't a solution.
hope that helps, God bless!
write an equation in slope -intercept form of the line through point p(6,-1) with slope 4
Answers
because when x=6 then y=-1.
1713 hours is the same as which of the following times a.7:13 a.m b.5:13 p.m c.7:13 p.m d.5:13 a.m. i pick d.5:13 a.m
Answers
Answer:
5:13 pm
Step-by-step explanation:
Since a day has 24 hours and if midnight is 000 hours and noon is 1200 hours you just have to count to 17 and think, or you could count on your fingers, what is the distance between 12 and 17, which is 5, and since it is after noon it is p.m, so 5 pm plus the 13 minutes it is 5:13 p.m.
−13π/5 find the reference angle
Answers
[tex] \frac{-13 \pi }{5} [/tex]×[tex] \frac{180}{ \pi } [/tex]
= -468
by adding 360 twice we get the coterminal angle 252
252 is in the 3rd quadrant so 180 is the closest angle on the x-axis
ref angle = 252 - 180 = 72
If necessary convert back to radians... [tex]72( \frac{ \pi }{180} )= \frac{2 \pi }{5} [/tex]
Solve the two-step equations.
1. k-3/4 = 10
2. z+5/7 = -3
3. 9+t/12 = -3
Answers
2. is (z =)16/7 or 2.285714...
3. is ( t =) -144
how can you decide if finding common multiples and common factors is helpful in solving a problem?explain.
Answers
Jasmine bought 7 yards of fabric. The total cost was $45.43. What was the average cost per yard of the fabric she bought?
Answers
Answer: $6.49
Step-by-step explanation:
$45.43 / 7=$6.49
Joesl's father is 45. He is 15 years older than twice joe's age. How old Is joe?
Answers
Jeanie sells M&Ms out of her giant bag at 4 for 5 cents. The machine at the store sells you 9 for 25 cents. Which is the better deal for you? Show your work. Justify your answers in the space below
Tom sells baseball cards at 10 for 35 cents. Is that a better deal than 12 for 40 cents? Prove your thinking.
The hardware store sells sparklers for the 4th of July. They charge 19 cents a piece. The fireworks stand charges 85 cents for four. Which is the better deal? How can you tell?
Frosted flakes has 11 grams of sugar in each 1 ounce serving. Raisin Bran has 13 grams of sugar in each 1.4 ounce serving. Which one has less sugar from an ounce of cereal? How can you tell for sure? Prove your answer.
Answers
So if you can get 4 bags for 5 cents so I multiplied 5 by 5 to get 25 cents and multiplied 4 by 5 and got 20 for 25 cents but the machine sells you 9 for 25 cents so if you get the m&ms from Jeanie you'll get more for your money if you get it from jeanie
Now problem 2
Now if tom sells 10 cards for 35 cents so theres a 5 cent difference for 2 more cards now 3 cents will be the most likley for the price for one of toms cards and toms price should have been 33 cents so your only being robbed of 2 cents not a big amount but we'll still look at the other guy 12 cards for 40 cents now if we look at how much toms cards will be if you bought 12 is only 39 cents 1 cent less than the other guy so in conclusion if you buy from Tom you get the better buy
Now problem 3
simple mutipily 19x4 and 76 cents the guys at the firework stands charge 85 for four so if you go to the hardware store and buy your fireworks there you get a better deal.
okay so im running out of time so someone else is gonna answer the last problem... sorry m8
Answer:
1.
Jeanie sells M&Ms out of her giant bag at 4 for 5 cents.
Each piece of M&Ms cost = [tex]\frac{5}{4}=1.25[/tex] cents
The machine at the store sells you 9 for 25 cents.
Each piece costs = [tex]\frac{25}{9}=2.78[/tex] cents
Hence, Janine is selling at a lower price. Hers is a better deal.
2.
Tom sells baseball cards at 10 for 35 cents.
Per card costs = [tex]\frac{35}{10}=3.5[/tex] cents
The second deal is 12 for 40 cents.
Per card costs = [tex]\frac{40}{12}=3.33[/tex] cents
Hence, 2 for 40 cents is a better deal.
3.
The hardware store sells sparklers for the 4th of July. They charge 19 cents a piece.
The fireworks stand charges 85 cents for four.
Per piece cost = [tex]\frac{85}{4}=21.25[/tex] cents cents
Hence, The hardware store's deal is a better deal.
4.
Frosted flakes has 11 grams of sugar in each 1 ounce serving.
Raisin Bran has 13 grams of sugar in each 1.4 ounce serving.
Per ounce sugar content in Raisin Bran= [tex]\frac{13}{1.4}=9.28[/tex] gram
Hence, Raisin Bran has less sugar from an ounce of cereal.
A _______________________ is a ratio that compares two quantities that are measured in different units.
Answers
A rate is a ratio that compares two quantities that are measured in different units.
What is Unit Rate?Unit rate is the amount of one quantity for a unit amount of the other quantity.
In other words it compares 1 unit of some quantity with different amount of another quantity.
Rate is the ratio between two quantities which are measured in different units.
Unit rate is also a rate but the difference is that it is the rate corresponds to single unit of one quantity.
Numerator will be mainly the dependent variable and the denominator will be the independent variable.
For example, speed is the rate which is the function of distance and time.
Slope is also a rate.
Hence the rate is a ratio that compares two quantities that are measured in different units.
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find an equivalent expression to 3 (4m-2)-2(m+5). write your answer as an expression with two terms
Answers
Answer:
10m - 16
Step-by-step explanation:
3 (4m-2) -2(m+5)
The equivalent expression can be simplified as an expression with two terms as follows:
3 (4m-2) -2(m+5)
Open each parenthesis by multiplying the outside value with the values in the parenthesis.
3 (4m-2) = 12m - 6
-2(m + 5) = -2m -10
Bring the value together
12m - 6 -2m - 10
collecting like terms
12m -2m - 6 - 10
10m - 16
Jan has 10 dolls. Kat has 7 dolls. choose yes or no to show if the equation can be used to find how many fewer dolls Kat has than Jan.
10-7=3 yes or no
3+7=10 yes or no
10+7=17 yes or no
7+3=10 yes or no
Answers
Karen
Each morning, Sleepwell Hotel offers its guests a free continental breakfast with pastries and orange juice. Last year, the hotel served a total of 660 gallons of orange juice to its guests. This year, the hotel served 1,133.2 gallons of orange juice. What is the percent of increase in the amount of orange juice served yearly? Round your answer to the nearest tenth of a percent.
Answers
Final answer:
The amount of orange juice served by Sleepwell Hotel increased approximately by 71.7% from last year.
Explanation:The subject of this question is Mathematics and it deals with the concept of percentage increase. To calculate the percent of increase in the amount of orange juice served yearly by Sleepwell Hotel, we need to keep in mind that the formula to calculate percentage increase is:
(New Amount - Original Amount)/Original Amount * 100
In the given problem, the original amount is 660 gallons (the amount of orange juice served last year) and the new amount is 1133.2 gallons (the amount served this year). Inserting these values into the formula gives us:
(1133.2 - 660) / 660 * 100
After performing the arithmetic, we find that the percent increase of orange juice served by Sleepwell Hotel is approximately 71.7%.
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Machine A produces 500 items per hour. Machine B produces 400 items per hour. Working together, the two machines produce 2250 items in t hours. Which equation can be used to find the value of t?
Answers
To find the value of t, set up a proportion using the rates of production for the machines. The equation is (500 + 400)t = 2250. Simplify the equation and solve for t to find that t = 2.5 hours.
Explanation:To find the value of t, we need to determine how long it takes for the two machines to produce 2250 items together. We can set up a proportion to solve for t using the rates of production for each machine. The proportion is:
(500 + 400)t = 2250
Simplifying the equation, we get:
900t = 2250
Dividing both sides by 900, we find that:
t = 2250/900 = 2.5 hours
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At one time, the Texas Junior College Teachers Association annual conference was held in Austin. At that time a taxi ride in Austin was $1.15 for the first 1/5 of a mile and $0.35 for each additional 1/5 of a mile. If the distance from one of the convention hotels to the airport is 8.5 miles, how much will it cost to take at taxi from that hotel to the airport? (Round your answer to the nearest cent.)
Answers
To calculate the taxi fare, we determine the cost for the first 1/5 mile at $1.15, and then add the cost for the remaining increments at $0.35 each. The total fare comes to $15.68 when rounded to the nearest cent.
To calculate the cost of a taxi ride in Austin from one of the convention hotels to the airport for an 8.5-mile distance, let's break it down step by step:
The initial fare covers the first 1/5 mile and costs $1.15.Since the total trip is 8.5 miles, we need to find out how much the remaining 8.3 miles (8.5 miles - 1/5 mile) will cost at $0.35 per each additional 1/5 mile.To find the number of 1/5 mile increments in 8.3 miles, we divide 8.3 by 1/5, which equals 41.5 increments.Now we multiply the number of increments (41.5) by the cost per increment ($0.35), which equals $14.525.Adding the initial fare of $1.15 to $14.525 gives us the total cost of the taxi ride, which is $15.675.Finally, we round $15.675 to the nearest cent to get $15.68 as the total cost of the ride.Therefore, the taxi fare from the hotel to the airport will be $15.68.
Brad wants to buy flowers for his friend with 45$. The daisies are 1$ each and the roses are 2$ each. He buys 3 more daisies than roses. How much did the roses cost?
Answers
There will be 14 roses, which is worth $28. 14($2)
And finally there will be 17 daisies, which is worth $17. 17($1)
$28+$17=$45
please vote my answer brainliest. thanks!
Dilation of 1.5 j (-1,-1 ) u(1,3) w(0,-2)
Answers
Evaluate 3x + y when x = 1/3 and y = -7/4
Write the answer in simplest form
Answers
3x + y
Substitute the variables for x = 1/3 and y = -7/4:
3 · 1/3 + -7/4
Multiply 3 by 1/3:
1 + -7/4
Add -7/4 to 1:
-3/4
The expression 3x + y simplifies to -3/4 when x equals 1/3 and y equals -7/4.
Explanation:To evaluate the expression 3x + y when x = 1/3 and y = -7/4, we simply substitute these values into the expression.
So 3x + y becomes 3*(1/3) - 7/4, which simplifies to 1 - 7/4.
To simplify this further, we convert 1 (which is the same as 4/4) and -7/4 to have the same denominator (which is 4). So, 4/4 - 7/4 equals -3/4.
So, the simplest form of 3x + y when x = 1/3 and y = -7/4 is -3/4.
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You deposit $200 in an account that earns 5% simple interest. How long will it be before the total amount is $400?
Answers
400=200*5%*t
400=10*t
-------------
10 10
40=t
Help with number 9 please!asap
Answers
For 4 * 25 * 27,
you can group it like this:
(4 * 25) * 27
= 100 * 27
= 2,700
06.01) Saturday morning there were 7 adults and 20 kids at Pump and Jump Land. The morning cash registers show $236 was collected. In the afternoon there were 21 adults and 50 kids for a total amount of $618. What is the cost for 1 adult?
Answers
The cost of 1 adult for the given games using the various parameters to create a simultaneous equation gives; $8
How to create simultaneous equations?
Let cost of adults be x and let cost of kids be y.
Now, there were 7 adults and 20 kids at Pump and Jump Land and the cash collected was $236. Thus, we can say that;
7x + 20y = 236 -----(1)
Similarly, there were 21 adults and 50 kids for a total amount of $618. Thus;
21x + 50y = 618 -----(2)
Solving both equations simultaneously gives;
x = $8 and y = $9
Thus, cost of 1 adult = $8
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solve for c
2 ( 2c + 9 ) = c
c = ??
Answers
and take 4 and divide it by 18 and that’s your answer
4c+18=c
4c-c= -18
3c= -18
c= -18/3
c= -6
Ciara brought $240 to spend on gifts for her family. She found 8 identical statues at a gift shop. She had $72 leftover. How much did each statue cost?
Answers
What is 10.49 seconds rounded to the nearest second
Answers
Given 10.49 seconds to be rounded to the nearest second, we would round down 10.49 seconds to have: 10 seconds.
Recall:
When rounding a number, if the number that comes before it is 5, 6 and up to 9, you round the number up. i.e. 57 to the nearest ten would be rounded up to 60.
When rounding a number, if the number that comes before it is from 4 below, you round the number down. i.e. 54 to the nearest ten is 50.
Thus:
Given 10.49 seconds, we want to round the number to the nearest second.
We need to round it down.
Therefore:10.49 to nearest seconds = 10 secs.
In summary, given 10.49 seconds to be rounded to the nearest second, we would round down 10.49 seconds to have: 10 seconds.
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