What is the product of 5 and 1/2 times 1/8? I Want see if I’m right.
8 kg of potatoes and 5 kg of carrots cost $28 whereas 2 kg of potatoes and 3 kg of carrots cost $11.20.what is the cost of 1 kg of each item?
Final answer:
To find the costs, we set up two equations based on the given data. Using elimination, we first determine the cost of 1 kg of carrots and then the cost of 1 kg of potatoes. The final costs are $2 per kg for potatoes and $2.40 per kg for carrots.
Explanation:
The student's question involves solving a system of linear equations to determine the cost of potatoes and carrots per kilogram. We can set up two equations from the given information:
8 kg of potatoes (8P) + 5 kg of carrots (5C) = $28
2 kg of potatoes (2P) + 3 kg of carrots (3C) = $11.20
These equations can be solved using either substitution or elimination methods to find the price per kilogram (P and C) for potatoes and carrots, respectively.
Let's use the elimination method:
Multiply the second equation by 4 to align the potato coefficient with the first equation:
8 kg of potatoes (8P) + 5 kg of carrots (5C) = $28
8 kg of potatoes (8P) + 12 kg of carrots (12C) = $44.80
Now subtract the first equation from the modified second equation:
(8P + 12C) - (8P + 5C) = $44.80 - $28
7C = $16.80
Divide by 7 to find the price per kilogram of carrots:
C = $2.40
Substitute the value of C into the first equation and solve for P:
8P + 5($2.40) = $28
8P + $12 = $28
8P = $16
P = $2
The cost of 1 kg of potatoes is $2 and the cost of 1 kg of carrots is $2.40.
The outdoor temperature yesterday reached a low of -4.5 degrees Farenheit. Between what two intergers was the temperature?
Find (18 × 106) + (5 × 104). A) 1.8005 × 106 B) 1.8005 × 107 C) 1.805 × 106 D) 1.805 × 107
its d! hope i helped :)
14/x+3-1=5/x+1 solve for x
do more kids say they want to see into the future or become invisible? invisible is 9/50 future is 1/5 what is more?
How many 3/4 cup servings of macaroni are in 2/3 of a cup of macaroni?
Answer:
The answer is D
Step-by-step explanation:
Diane uses 2 feet of ribbon to decorate each gift she is wrapping. She wraps 7 gifts. How much ribbon does she need?
Final answer:
To calculate the total amount of ribbon Diane needs, we multiply the number of gifts (7) by the amount of ribbon per gift (2 feet). Diane will need a total of 14 feet of ribbon to decorate 7 gifts.
Explanation:
The question asks how much ribbon Diane needs to decorate 7 gifts if she uses 2 feet of ribbon per gift. To find the total amount of ribbon, we multiply the number of gifts by the amount of ribbon used for each gift. The equation for this calculation is:
Total ribbon needed = Number of gifts times Ribbon per gift
Let's plug in the values:
Total ribbon needed = 7 gifts times 2 feet/gift
Total ribbon needed = 14 feet
Therefore, Diane needs 14 feet of ribbon to decorate her 7 gifts.
What is the equation of the graphed line?
A graph with a line running through coordinates (-6, -3) and coordinates (6, -7)
Enter your answer in slope-intercept form in the box.
Help me please what would be the next step
Line ℓ has equation
y
=
x
+
5
.
Find the distance between ℓ and the point
C
(
4
,
-
3
Ivan likes ice-cream cones. At the ice-cream parlor,a single-scoop cone costs 75 cents .
Each additional scoop of ice cream costs 50 cents . Ivan earns 25 cents each time he takes out the trash. How many times does Ivan have to take out the trash to buy a
double-scoop cone?
Ivan needs to take out the trash at least 5 times to earn enough money to buy a double-scoop ice cream cone.
Explanation:To buy a double-scoop ice cream cone, Ivan needs to earn enough money to cover the cost of the double-scoop cone, which is 75 cents for the first scoop and an additional 50 cents for the second scoop. Since Ivan earns 25 cents each time he takes out the trash, we can calculate how many times he needs to take out the trash to earn enough money.
Let's assume Ivan needs to take out the trash 'x' number of times. Each time he takes out the trash, he earns 25 cents, so the total amount he earns will be 25 cents multiplied by 'x'.
Setting up an equation, 25x >= 75 + 50. Simplifying, we have 25x >= 125. Dividing both sides of the inequality by 25, we get x >= 5. Therefore, Ivan needs to take out the trash at least 5 times to earn enough money to buy a double-scoop ice cream cone.
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what is .000747 in scientific notation
I've got a math question for 30 points!! What is the point-slope form of the line with slope -1/8 that passes through the point (-2,1)?
Thanks for the help!!
:)
I really need help... please?
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Two towns have accumulated different amounts of snow. In Town 1, the snow depth is increasing by 3 1/2 inches every hour. In Town 2, the snow depth is increasing by 2 1/4 inches every hour. In how many hours will the snowfalls of the towns be equal? Show your work.
A submarine dives below the surface, heading downward in three moves. If each move downward was 220 feet, where is the submarine after it is finished diving?
How many square inches does and 11x13 area encompasses
The area of an 11x13 rectangle is 143 square inches.
The area of an 11x13 rectangle can be calculated by multiplying the length and the width.
Area = Length x Width
Area = 11 inches x 13 inches
Area = 143 square inches
Therefore, an 11x13 area encompasses 143 square inches.
What’s the area of 36 square meters perimeter of 30 meters what’s the width and length of those?
To find the width and length of a rectangle given an area of 36 square meters and a perimeter of 30 meters, a system of equations can be set up and solved, showing the rectangle could have dimensions 9m x 4m or 4m x 9m.
To find the width and length of a rectangle with a known area and perimeter, we can use the following formulas: Area = length x width and Perimeter = 2(length + width). We know the area is 36 square meters and the perimeter is 30 meters. Let's denote the length as L and the width as W. Therefore, our system of equations will be:
L x W = 36
2(L + W) = 30
Dividing the perimeter equation by 2 gives us L + W = 15. We can express the width in terms of the length using this equation: W = 15 - L. Now we can substitute this expression for W into the area equation: L x (15 - L) = 36. Expanding this gives us a quadratic equation: [tex]L^2[/tex] - 15L + 36 = 0. We can solve this equation for L to find possible values for the length.
To find the length L, we look for factors of 36 that add up to 15. It turns out that 9 and 4 are such factors, so our lengths are 9 meters and 4 meters. We then use the expressions for W to find that W is 4 meters if L is 9 meters, and W is 9 meters if L is 4 meters. Hence, the rectangle could have dimensions 9m x 4m or 4m x 9m.
Jim is running on a trail that is 5/4 of a mile long. So far he has run 2/3 of the trail. How many miles has he run so far? SHOW YOUR WORK PLZZ!!!! Only answer if you know.
The transportation division is building a cone-shaped container to store salt and sand. The container will have a diameter of 50 feet and is 60 feet high. What is the maximum amount of sand and salt the container can hold? (Approximate pi with 3.14.)
Read the questions in the table below then track a description of the situation at a table to represent each equation indicate whether each of the relationship is proportional or nonproportional
Answer:
its 3 and the dollar one is non-portianal and the table to the left the second row is porpianal and the table to the right
Step-by-step explanation:
Dropping less than two inches per mile after emerging from the mountains, a river drains into the ocean. One day's discharge at its mouth, 9.6 trillion gallons, could supply all of country A's households for six months. Based on this statement, determine how much water an average household uses each month. Assume that there are 200 million households in country A.
We are given the following data:
total discharge = 9.6 trillion gallons
number of household = 200 million
number of months = 6 months
So the average use of each household per month is:
average use = (9.6 trillion gallons) / (200 million households * 6 months)
average use = 8,000 gallons / household / month
So each household uses 8,000 gallons per month
An animal shelter spends $3.00 per day to care for each bird and $8.50 per day to care for each cat. Kayla noticed that the shelter spent $123.00 caring for birds and cats on Tuesday. Kayla found a record showing that there were a total of 30 birds and cats on Tuesday. How many birds were at the shelter on Tuesday?
what is the rate of 2.50/10.50
and 1.99/2.50
Answer: The rate of both are 0.23 and 0.796 respectively.
Step-by-step explanation:
Since we have given that
Rate of 2.50/10.50
We need to find the rate which is given by
[tex]\dfrac{2.50}{10.50}\\\\=0.23[/tex]
Similarly,
Rate of 1.99/2.50
We need to find the rate which is given by
[tex]\dfrac{1.99}{2.50}=0.796[/tex]
Hence, the rate of both are 0.23 and 0.796 respectively.
Explain how graphs of the same function can look different?
Graphs of the same function can look different based on the time frames, horizontal and vertical scalling, data grouping, and the chosen type of graph. However, it's crucial to remember that despite visual differences, the underlying mathematical function remains unchanged.
Explanation:In the subject of mathematics, graphs depict the relationship between variables. The graphs of the same function can technically appear different based on numerous factors such as the range of data used, horizontal and vertical scaling, and the division of data groups. When the value of y is changing as a function of x, meaning different values of x correspond to different values of y, we can plot a graph using specific (x,y) data pairs.
This graph can appear different based on the frame of reference chosen; for example, certain timeframes might yield a linear graph, while another range could portray a curve. Similarly, the relative size of the vertical and horizontal axes can greatly impact the perception of the graph, and therefore, different scales of measurement can provide different visual perspectives of the same function.
Moreover, the type of graph used (e.g. line, bar, pie graph) also impacts visual understanding. Line graph shows the relationship between two variables, whereas a pie graph could make it easy to understand division of a whole into parts, and a bar graph can depict comparisons among different groups.
Be aware that despite these visual differences, the underlying mathematical function remains the same.Learn more about Graphs of Functions here:
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Hey Guys I need as much help as I can get Please Help This is the question that gets me stuck on all test every bit of help is appreciated
The table below shows the cubes of different numbers:
Number (x)
3
−3
5
−5
Cube of the number (y)
27
−27
125
−125
The table below shows the cubes of different numbers:
Number (x)
3
−3
5
−5
Cube of the number (y)
27
−27
125
−125
Part A: Does the table represent y as a function of x? Justify your answer. (5 points)
Part B: The total cost f(x), in dollars, for renting a car for x days is shown below:
f(x) = 27x + 18
What is the value of f(6) and what does f(6) represent? (5 points)
81/27x6-2 (/=dividedby)
There are 12 chairs at each table for the annual parents’ night dinner. Thirty-two tables are set up. How many people can be seated at these tables?
What is the value of this expression?
(−4) to the fourth power
Jessica wants to record her favorite songs to one cd. The function c=80-3.22n represents the recording time c available after n songs are recorded. Find the zero of this function. Describe what this value means in this context.
The zero of the function c=80-3.22n is approximately 25, which means that Jessica's CD would be completely filled after recording approximately 25 songs.
Explanation:To find the zero of the function c=80-3.22n, we need to set the function to zero and solve for n. 0 = 80 - 3.22n. Solving this gives n = 24.84 (roughly).
In the context of this problem, this zero of the function means that after approximately 25 songs (as we can't have a fraction of a song), Jessica's CD would be completely filled with no remaining recording time.
It's important to note that the actual number of songs Jessica can record depends on the precise length of each song, since this equation assumes each song is the same length, which is unlikely to be strictly true in reality.
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