Evaluate 3x + y when x = 1/3 and y = -7/4
Write the answer in simplest form
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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A _______________________ is a ratio that compares two quantities that are measured in different units.
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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is (-4, 10) a solution to the equation 10 - 5x=y
−13π/5 find the reference angle
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
The football team lost 4 yards on 2 plays in a row. Which of the following could represent the change in field position?
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.
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?
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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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.
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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for a class gardening project 1/3 of mrs gordon's students planted marigolds and 1/2 planted tulips what fraction of the class planted either marigolds or tulips
Consider the graph of the linear function h(x) = –2/3x + 5. Which could you change to move the graph down 3 units?
the value of b to –3
the value of m to –3
the value of b to 2
the value of m to 2
C. The value of b to 2
Explanation: The change from 5-2 is 3.
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?
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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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.
You deposit $200 in an account that earns 5% simple interest. How long will it be before the total amount is $400?
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.)
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.
Jasmine bought 7 yards of fabric. The total cost was $45.43. What was the average cost per yard of the fabric she bought?
Answer: $6.49
Step-by-step explanation:
$45.43 / 7=$6.49
solve for c
2 ( 2c + 9 ) = c
c = ??
Ciara brought $240 to spend on gifts for her family. She found 8 identical statues at a gift shop. She had $72 leftover. How much did each statue cost?
Carly is 3 times older than her brother's age. The sum of their ages is no more than 24 years.
a. x+3x≤24
b. x+x+3≤24
c. x+3x<24
d. x+x+3<24
Using the inequality, find the oldest age Carly's brother can be
find an equivalent expression to 3 (4m-2)-2(m+5). write your answer as an expression with two terms
Answer:
10m - 16
Step-by-step explanation:
3 (4m-2) -2(m+5)
The equivalent expression can be simplified as an expression with two terms as follows:
3 (4m-2) -2(m+5)
Open each parenthesis by multiplying the outside value with the values in the parenthesis.
3 (4m-2) = 12m - 6
-2(m + 5) = -2m -10
Bring the value together
12m - 6 -2m - 10
collecting like terms
12m -2m - 6 - 10
10m - 16
write an equation in slope -intercept form of the line through point p(6,-1) with slope 4
Solve the two-step equations.
1. k-3/4 = 10
2. z+5/7 = -3
3. 9+t/12 = -3
Anita recorded the daily high and low temperatures as 13°F and-3°F,respectively wrote the difference in temperature,in °F, as a subtraction equation. Then write the difference in temperatures as an addition equation
how can you decide if finding common multiples and common factors is helpful in solving a problem?explain.
Joesl's father is 45. He is 15 years older than twice joe's age. How old Is joe?
A graphic designer charges an hourly rate. In July, the only expense is for advertising. The function graphed models the designer's net income, y, for July for x hours of work.
Select True or False to describe each statement.
I guessed on this question, but I'm not 100% sure. Please help!
Actually you have the answers correct I took the test.
Dilation of 1.5 j (-1,-1 ) u(1,3) w(0,-2)
Brad wants to buy flowers for his friend with 45$. The daisies are 1$ each and the roses are 2$ each. He buys 3 more daisies than roses. How much did the roses cost?
Toni can carry up to 13 lb in her backpack. Her lunch weighs 1 lb, her gym clothes weigh 2 lb, and her books (b) weigh 2 lb each. How many books can she carry in her backpack?
What is 10.49 seconds rounded to the nearest second
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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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
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.