Final answer:
To find the mass of each box in this scenario, calculate the total mass of the cans first, then divide by the number of boxes. Each box weighs 10 grams.
Explanation:
A picture shows that 3 cans have the same mass as 9 identical boxes. Each can has a mass of 30 grams. What is the mass, in grams, of each box.
To find the mass of each box, we first calculate the total mass of the 3 cans: 3 cans * 30 grams/can = 90 grams. Since the 3 cans have the same mass as 9 identical boxes, each box's mass is: 90 grams / 9 boxes = 10 grams per box.
Tell what each of the residual plots below indicates about the appropriateness of the linear model
Residual plots can indicate the appropriateness of a linear model by examining patterns and deviations of the residuals.
Explanation:A residual plot is a graph that shows the difference between the observed and predicted values in a linear regression model. It helps to assess the appropriateness of the linear model by examining the patterns and deviations of the residuals. In the first graph, there seems to be a systematic pattern and non-randomness in the residuals, indicating that the linear model may not be appropriate. However, in the second graph, the residuals are randomly scattered around zero with no evident pattern, suggesting that the linear model is more appropriate.
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Solve the system of equations using the substitution method.
{y=−3x+7
x=−2y−16
Enter your answers in the boxes.
x=
y=
ANSWER
[tex]x = 6[/tex]
[tex]y = - 11[/tex]
EXPLANATION
The given system of equations is
[tex]y = - 3x + 7...(1)[/tex]
and
[tex]x = - 2y - 16...(2)[/tex]
We substitute equation (1) into equation (2) to get;
[tex]x = - 2( - 3x + 7) - 16[/tex]
[tex]x = 6x - 14- 16[/tex]
We group similar terms
[tex]x - 6x = - 14 - 16[/tex]
[tex] - 5x = - 30[/tex]
Divide both sides by -5.
[tex]x =6[/tex]
Put x=6 into equation (1).
[tex]y = - 3(6) + 7[/tex]
[tex]y = - 18 + 7[/tex]
[tex]y = - 11[/tex]
Answer:
x = 6 and y = -11
Step-by-step explanation:
Given : System of linear equation
y=−3x+7
x=−2y−16
We have to solve the system of equations using the substitution method.
In substitution method, we substitute the value of one variable in term of other and solve for it.
Consider the given system of linear equation
y = −3x + 7 ...(1)
x = −2y − 16 .....(2)
Substitute, (2) in (1), we get,
y = -3(-2y - 16) + 7
Simplify , we get,
y = 6y + 48 + 7
6y - y = - 55
5y = -55
y = -11
Substitute y = -11 in (2), we get,
x = −2(-11) − 16 = 22 - 16 = 6
thus, x = 6
Thus , x = 6 and y = -11
The human population doubles approximately every 50 years. If there were 2.5 million people in 1950, how many people are forecasted to populate the earth in 2050?
Can you please help me ?
Is the quotient of 5 and 1 / 2 greater than or less than 5? Explain your answer.
The quotient of 5 divided by 1/2 is greater than 5 because dividing by a number less than 1 results in a larger number. In this case, it is equivalent to multiplying 5 by 2, yielding 10.
To determine if the quotient of 5 and 1/2 is greater than or less than 5, we consider the operation of division. Dividing by a number less than 1 will result in a larger number, while dividing by a number greater than 1 will result in a smaller number. The number 1/2 is less than 1, so when 5 is divided by 1/2, the quotient is greater than 5. It is equivalent to multiplying 5 by 2 (since dividing by a fraction is the same as multiplying by its reciprocal), which is 10. Therefore, 5 divided by 1/2 equals 10, which is greater than 5.
The formula for the volume of a sphere is V=4/3 3.14r^3. What is the formula solved for r?
A cylindrical tank has a height of 12 feet and a diameter of 16 feet. Jane fills the tank with water at a rate of 6 cubic feet per minute. Calculate how long it would take Jane to fill the tank without overflowing it. Explain your reasoning. Round as needed.
On the map of a town, 1 cm represents 6 miles. Find the distance represented by 4.5 cm. A) 4.5 miles B) 6 miles C) 17 miles D) 27 miles
An employee has an annual salary of $51,300. They receive $2,830 in health insurance and $4,600 in paid time off per year. They drive their personal vehicle for work which costs them $600 per month, but the company reimburses them $0.54 per mile for the total work miles driven. If the employee drives 36,000 miles for work for the year, what will be their total employment compensation?
a.
$70,740
b.
$70,970
c.
$77,570
d.
$78,170
The total employment compensation of the employee is b. $70,970.
What are Arithmetic operations?Arithmetic operations are the basic part of mathematics which combines the basic operations like addition, subtraction, multiplication and division.
Given that,
Annual salary of the employee = $51,300
Health insurance per year = $2,830
Paid time off per year = $4,600
Monthly expense for personal vehicle = $600
Yearly expense = 12 × $600 = $7200
Reimbursement for the vehicle = $0.54 per work mile
Reimbursement for vehicle for 36,000 miles for work for the year = $0.54 × 36,000 miles = $19,440
Total employment compensation = ($51,300 + $2,830 + $4,600 + $19,440) - $7200
= $70,970
Hence the employment compensation is $70,970.
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When constructing an inscribed equilateral triangle, how many arcs will be drawn on the circle?
a. 3
b. 4
c. 5
d. 6
The radioactive isotope radium has a half-life of 1,600 years. The mass of a 100-gram sample of radium will be______ grams after 200 years.
£850 is invested for 2 years at 6% per annum compound interest. a) Work out the total interest earned over the first 2 years.
Answer:
6% annum for 850 would be 955
which of the following is important in a 2 column proof?
A list of all theorems
Staircase LOgic
Order
Detailed explanations for each step
Answer:
Order.Step-by-step explanation:
When we are proving a proposition, it's important to have order in our 2-column proof.
So, we must have a left colum for Statements and a right colum for Reasons, that's the order we need to have.
In the statements colum we write our deductions. In the reasons column, we write the justification or reason about our deduction.
Therefore, the right answer is the third choice: Order.
If the newspaper plans to select an ad at random each week to be published free, what is the probability that the ad for a specific week will be a help dash wanted help-wanted ad
Answer:Theres a article about that ont he internet
Step-by-step explanation:
One number is 33 more than another number. The quotient of the larger number and smaller number is 5 and the remainder is 1. Find the numbers.
Final answer:
The two numbers in question are 8 and 41.
Explanation:
Step-by-Step Solution to Find the Two Numbers
Let the smaller number be x. Thus, the larger number would be x + 33. According to the problem, the larger number divided by the smaller number gives a quotient of 5 and a remainder of 1. We can represent this information using the following equation:
(x + 33) = 5x + 1
This equation states that when the larger number is divided by the smaller number, we obtain a quotient of 5 and a remainder of 1.
Now, let's solve the equation for x:
Subtract 5x from both sides of the equation: (x + 33) - 5x = 1Simplify the equation: -4x + 33 = 1Subtract 33 from both sides: -4x = -32Divide both sides by -4: x = 8Since we have found the smaller number to be 8, the larger number is:
8 + 33 = 41
Therefore, the two numbers are 8 and 41.
The modulus operator would confirm our solution since 41 % 8 does indeed yield a remainder of 1, as stated in the problem.
write a real world example that could be solved by using the inequality 4x+8≥32.then solve the inequality
A real-world situation for the inequality 4x + 8 ≥ 32 could involve calculating the minimum hours required at a part-time job to earn $32. Subtracting 8 and dividing by 4, we find that at least 6 hours of work are needed.
Explanation:A real-world example that could be solved by using the inequality 4x + 8 ≥ 32 might involve a situation where you need to determine how many hours you must work at a part-time job to earn at least a certain amount of money. Suppose you earn $4 per hour and you have already earned $8. You want to know the minimum number of hours you must work to have at least $32 in total.
To solve the inequality 4x + 8 ≥ 32, you would first subtract 8 from both sides, which gives you 4x ≥ 24. Then, you would divide both sides by 4 to find the number of hours (x) you need to work. Therefore, x ≥ 6. This means you must work at least 6 hours to earn $32 or more.
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if the circumference of a circle measures 3π cm, what is the area of the circle in terms of π?
The area of the given circle, in terms of pi, is:
A = (9/4)pi cm^2
How to find the area of the circle?We know that for a circle of radius R, the circumference is:
C = 2*pi*R
And the area is:
A = pi*R^2
In this case, we know that:
C = 3pi cm = 2pi*R
Then we must have:
3cm = 2R
(3/2)cm = R
Now we can replace this on the area equation:
A = pi*((3/2)cm)^2 = pi*(9/4) cm^2
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7+11v=9v-9 how do you solve by steps
Which list of decimals is ordered from least to greatest? A) 0.11, 0.101, 0.21 B) 0.27, 0.35, 0.41 C) 0.35, 0.056, 4.2 D) 1.09, 0.91, 1.90. I need it quick
HELP ME PLEASEEEEEEEEEEEEEEEEEE
how do you solve x^2+4x-5=0
Actually the answer is (-1,5)
x^2 – 4x – 5 = 0
x^2 – 4x = 5
x^2 – 4x + 4 = 5 + 4
(x – 2)^2 = 9
x – 2 = ± 3
x = 2 + 3 and x = 2 – 3
x = 5 and x = –1
{–1, 5}
Find a ⋅ b.
a = 7i - 4j, b = 4i + 3j
A) <28, -12>
B) 16
C) -40
D) <11, -1>
Answer:
B) 16
Step-by-step explanation:
The dot product of a pair of vectors is the sum of the products of their corresponding parts. It is a scalar.
... a · b = (7i -4j) · (4i +3j) = 7·4 + (-4)·3
... = 28 -12 = 16
rebekah's baby brother wights 7.71 pounds. Her newborn kitten weights 0.24 pound. How much more does tebekah's baby brother weight that her kitten?
Measure the length of the top of your desk in centimeters.describe how you found the length
state whether the relationship between x and y in y=4x-5 is proportional or not
Alice has 1/5 as many miniature cars as Sylvester has Sylvester has 35 miniature cars how many miniature cars does alic have?
Final answer:
Alice has 1/5 as many miniature cars as Sylvester, who owns 35. By multiplying 35 cars by 1/5, we find that Alice has 7 miniature cars.
Explanation:
The student's question is about finding the number of miniature cars Alice has if she has 1/5 as many as Sylvester, who has 35 miniature cars. To solve this, we use the following mathematical operation:
Alice's miniature cars = 1/5 of Sylvester's miniature cars
Sylvester's miniature cars = 35 cars
To find out how many miniature cars Alice has, multiply the number of Sylvester's miniature cars by 1/5:
35 cars x 1/5 = 7 cars
Therefore, Alice has 7 miniature cars.
which set of three numbers could be the side lengths of a triangle A.5,5,14 B.3,3,2 C.3,3,8 D. 5,5,10
Answer:
B. 3, 3, 2
Step-by-step explanation:
The triangle inequality requires the sum of the lengths of the two shortest sides exceed the length of the longest side. That is the case only for the lengths of selection B:
2 + 3 > 3
it rained 3/8 of a inch each day for 3 days straight how much rain fell altogether
what is 5/10 + 25/100
a sheep breeding farm counted a total of 40 sheep on their grounds after one year the number of sheep doubled then in the next year the number of sheep doubled again if this trend continues which of the following options represents the number of sheep on the farm by then end of each year