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 population of foxville was about 12 times 10 to the third power of people which is another way to write this number
kelly is knitting a scarf for her brother. it took her 1/3 hour to knit 3/8 foot of the scarf. How fast is Kelly's knitting speed, in feet per hour?
Answer:
[tex]\frac{9}{8}[/tex] feet per hour fast is Kelly's knitting speed
Step-by-step explanation:
Unit rate defined as the rates are expressed as a quantity 1 such as 4 meter per seconds or 4 miles per hour.
As per the statement:
Kelly is knitting a scarf for her brother. it took her 1/3 hour to knit 3/8 foot of the scarf.
She took /3 hour to knit 3/8 foot of the scarf.
Then by definition of unit rate we have;
[tex]\text{Unit rate per hour} = \frac{\frac{3}{8} }{\frac{1}{3} } =\frac{3}{8} \cdot 3 = \frac{9}{8}[/tex] feet
Therefore, [tex]\frac{9}{8}[/tex] feet per hour fast is Kelly's knitting speed.
Joseph says that in the number 9,999,999,all the digits have the same value?Is Joseph correct? explain
Joseph is not correct.
What is place value?- Any number formed from some digits, each digit has a place value.
- For example : 1,234 this number formed from 4 digits
The place value of 4 is ones ⇒ 5
The place value of 3 is tens ⇒ 40
The place value of 2 is hundreds ⇒ 300
The place value of 1 is thousands ⇒ 2,000
1,234= 1,000 + 200 + 30 + 4
Now the given number is 9,999,999
Now the place value of each digit is given as,
∵ The number formed from 7 digits
- The place value of the leftmost digit is millions
- The place value of the digit before the million is hundred thousands
- The place value of the digit before the hundred thousands is
ten thousands
- The place value of the digit before the ten thousands is thousands
- The place value of the digit before thousands is hundreds
- The place value of the digit before hundreds is tens
- The place value of the digit before tens is ones
∴ 9,999,999 = 9,000,000 + 900,000 + 90,000 + 9,000 + 900
+ 90 + 9
∴ Each digit from the leftmost digit is ten times the digit before it
Hence, Joseph is not correct.
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Evaluate the expression, using the given value of the variable. z ÷ 2 – 4z + 3(z – 3) when z = 8 A. –17 B. –13 C. –7 D. –1
the sum of two numbers is 55 and the difference is 9. what are the numbers?
Helppppppp me please if your good at math let me know willl be greatful
What process do you use to find the percent change of a quantity?
Answer:
You used multiplication.
Step-by-step explanation:
A submarine is at 89 feet below the surface of the ocean. If it descends another 42 feet, what will be it’s position in relation to the surface?
add the 2 numbers:
89 + 42 = 131 feet below the surface,
which can also be written as -131 feet
a group of hikers climbed from salt flats (elevation-55.03 ft) to talon bluff (elevation 620.75 ft). what is the difference between talon bluff and salt flats?
To calculate the elevation difference between Talon Bluff and Salt Flats, you subtract the elevation of Salt Flats from the elevation of Talon Bluff, resulting in a total ascent of 675.78 feet
The question asks about the elevation difference between two points, Salt Flats and Talon Bluff. To find the difference in elevation, you simply subtract the elevation of Salt Flats from the elevation of Talon Bluff. Therefore, the difference is
Elevation of Talon Bluff - Elevation of Salt Flats = 620.75 ft - (-55.03 ft) = 675.78 ft.
This means that the hikers ascended a total of 675.78 feet in elevation from the Salt Flats to Talon Bluff
-4(3 - 2x) + 2x = 2x - 8
Please Help!
4,024 ÷68 with remainder
The probability of an outcome that lies within 68% of the mean is a good indicator that it lies in which standard deviation? A. There is a probability that the outcome is within 3 standard deviations of the mean. B. Standard deviations are not reliable, so the probability cannot be determined. C. There is a probability that the outcome is within 2 standard deviations of the mean. D. There is a probability that the outcome is within 1 standard deviation of the mean.
Answer:
D. There is a probability that the outcome is within 1 standard deviation of the mean.
Step-by-step explanation:
The correct answer is an option (D) There is a probability that the outcome is within 1 standard deviation of the mean.
What is standard deviation?"It is a measure of the amount of variation of a set of values from is mean."
What is mean?"It is the average of all the set of values."
What is empirical rule?"It is a statistical rule which states that - For a normal distribution, the observed data will fall within three standard deviations of the mean.""This rule predicts that 68% of observations falls within the first standard deviation.""95% of observations falls within the first two standard deviations.""99.7% of observations falls within the first three standard deviations."For given question,
According to empirical rule,
The probability of an outcome that lies within 68% of the mean is a good indicator that it lies in the first standard deviation.
Therefore, the correct answer is an option (D) There is a probability that the outcome is within 1 standard deviation of the mean.
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Factorise x^(2) + 8x +7
Landon and Keira are preparing refreshments for a party. To make fruit punch, they will mix 2 gallons of grape juice with 1 cup of lemonade and 6 ounces of pineapple juice. How many ounces of punch will they make?
Rhosanda is downloading a file from the Internet. The size of the file is 7.45 MB. The file is downloading at the rate of 0.095 MB per second. How many seconds will it take to download the entire file? Round your answer to the nearest second.
Answer/Step-by-step explanation:
7.45/0.095 = 78 seconds
Describe how to model -3x + 7= 28 with algebra tiles
If f(x) = −5x + 11 and f(n) = 21, what is the value of n?
Andrei has a glass tank. First, he wants to put in some marbles, each of which has a volume of 0.4 liters. Then, he wants to fill the tank with water until it's completely full. If he uses 50 marbles, he will have to add 33 liters of water.
What is the volume of the tank?
Andrei has exactly 20 liters of water. How many marbles does he need so the tank is full?
The volume of Andrei's tank is 53 liters. To fill the tank with 20 liters of water, Andrei needs 82 marbles, as marbles and water together must reach the tank's total volume.
Explanation:To find the volume of the glass tank that Andrei has, we need to calculate the total volume of marbles and water that fills the tank. Since each marble has a volume of 0.4 liters and he uses 50 marbles, the total volume of the marbles is:
0.4 liters/marble × 50 marbles = 20 litersWith 33 liters of water needed to fill the tank after the marbles are added, the total volume of the tank is:
20 liters (marbles) + 33 liters (water) = 53 litersTo determine how many marbles Andrei can add if he has exactly 20 liters of water, we set up the equation with the unknown number of marbles (represented by 'x'):
0.4 liters/marble × x marbles + 20 liters (water) = 53 liters (total volume)From the equation, we solve for x:
0.4x + 20 = 530.4x = 33x = 33 / 0.4x = 82.5 marblesSince Andrei cannot use a fraction of a marble, he'll need to use 82 marbles to fill the tank with 20 liters of water.
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Basher collected 4 1/3 basket of peaches and Orchard if each basket holds 21
peaches how many peache did he collect in all
Find 3 consecutive integers such that the sum of the 2 largest integers is equal to 14 more than the smallest
geometry homework please help
On a certain day 1 US dollar is equivalent in value to 90 Japanese yen. Lucy is going on a trip to Japan. She has $900 to spend. How many yen is this?
Is that correct? Algebra 2
a triangle with angles X(-6,1), Y(4,0), Z(1,3) is translated left 9 and up 12 . What are the new coordinates of the triangle
How can 36/6 be expressed as a decimal?
Help please
Match each point with one of the following fractions
3/4,1/4,7/16,5/8
A=5/8,B=1/4,C=3/4,D=7/16
A=1/4,B=5/8,C=7/16,D=3/4
A=3/4,B=1/4,C=5/8,D=7/16
A=1/4,B=7/16,C=5/8,D=3/4
A fraction is a way to describe a part of a whole. The correct option is D.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
To arrange the given fraction simply the given fraction as shown below.
3/4 = 0.75
1/4 = 0.25
7/16 = 0.4375
5/8 = 0.625
Since it can be seen that the points are arranged on the number line, therefore, the first point will have the least value, while the last point will have the maximum value.
Therefore, each point can be written in the fraction form as,
A = 0.25 = 1/4
B = 0.4375 = 7/16
C = 0.625 = 5/8
D = 0.75 = 3/4
Hence, A=1/4,B=7/16,C=5/8,D=3/4.
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Which expression shows the distance on the number line between −7 and 16?
a) |−16−(−7)|
b) |−7+16|
c) |7−16|
d) |−7−16|
Final answer:
The correct expression to find the distance on the number line between -7 and 16 is |16 - (-7)|, which equals 23 units. The distance is always a positive number.
Explanation:
The expression that shows the distance on the number line between −7 and 16 is |16 - (-7)|.
To find the distance between two points on a number line, subtract one point from another and take the absolute value of the result. This ensures the distance is positive, as distance cannot be negative. Hence, the correct expression is:
|16 - (-7)| = |16 + 7| = |23| = 23
So, the distance between the points is 23 units.
The ratio of number of cars to the number of vans is 5:1. The ratio of number of vans to number of motorcycle in the same car park is 3:2 if there are 30 cars in the park how many motorcycle are there
Due to fire laws, no more than 720 people may attend a performance at Metro Auditorium. The balcony holds 120 people. There are 32 rows on the ground floor, each with the same number of seats. Write an inequality to find the number of people that can sit in a ground floor row if the balcony is full. Identify what your variable represents.
Will give brainliest for correct answer! easy algebra