Answer:
4 cookies will be eaten, 2 by each friend, and 1 will be left over, unless they cut it in half.
The cost of a car, in dollars, t years after its purchase is $20,000 - $3,000t.
Which statement is correct?
A.
The cost of the car depreciates every year by $3,000.
B.
The cost of the car depreciates every year by $20,000.
C.
The cost of the car increases every year by $3,000.
D.
The cost of the car increases every year by $20,000.
The correct statement is that the cost of the car depreciates every year by $3,000. This is determined by analyzing the provided depreciation formula, $20,000 - $3,000t, where t is the number of years after purchase.
Explanation:The cost of a car, in dollars, t years after its purchase is described by the equation $20,000 - $3,000t. This equation indicates that the value of the car is decreasing by a fixed amount each year. Taking a closer look at the formula given, we can see that the t variable, which represents time in years, is multiplied by $3,000. This $3,000 is then subtracted from the initial value of the car, $20,000. Therefore, each year, the value of the car decreases by this amount of $3,000.
Given the options:
A. The cost of the car depreciates every year by $3,000.B. The cost of the car depreciates every year by $20,000.C. The cost of the car increases every year by $3,000.D. The cost of the car increases every year by $20,000.The correct answer is:
A. The cost of the car depreciates every year by $3,000.
The correct statement is A. The cost of the car depreciates every year by $3,000, which can be deduced from the depreciation equation of the car's value over time.
Explanation:The cost of a car, in dollars, t years after its purchase is given by the equation $20,000 - $3,000t. This equation represents a linear function where the initial value of the car is $20,000 and it decreases by $3,000 for each year t that passes. Therefore, the correct statement is:
A. The cost of the car depreciates every year by $3,000.
Each year that passes, the term $3,000t increases by $3,000 since t increments by 1, thus reducing the overall value of the car by another $3,000.
Which table shows a proportional relationship? x 1 2 3 4 5 y 9 10 11 12 13 b 1 4 5 7 11 c 3 12 15 21 33 p 1 3 5 7 9 q 0 2 4 6 8 r 3 6 10 12 15 s 2 4 6 8 10
Proportional relationships are relationships between two variables where their ratios are equivalent. b and c represents Proportional relationships.
What is proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent
The first table is
x 1 2 3 4 5
y 9 10 11 12 13
The ratios are not same
1/9, 2/10=1/5, 3/11, 4/12=1/3, 5/13
So it is not a proportional relationship.
b 1 4 5 7 11
c 3 12 15 21 33
The ratios are same .
1/3, 4/12=1/3, 5/15=1/3, 7/21=1/3, 11/33 =1/3.
Hence b and c table shows proportional relationship.
p 1 3 5 7 9
q 0 2 4 6 8
The ratios are not same it does not show proportional relationship.
r 3 6 10 12 15
s 2 4 6 8 10
The ratios are not same it does not show proportional relationship.
Hence the table b and C shows proportional relationship.
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PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE Please help please
1.)The system of equations is graphed on the coordinate plane.
y=x−1y
−2x− 4
Enter the coordinates of the solution to the system of equations in the boxes.
(__,__)
Answer:
Step-by-step explanation:
The correct answer is: (-1, -2)
this is how i got my answer: by examining the point of intersection of the lines of the 2 graphs show in the we can see that the point of intersection is at (-1, 2) Answer: x = -1, y = 2 ∀∈
What is the distance between -7.5 and -15.3 on a number line
The distance between points -7.5 and -15.3 on a number line is 7.8.
What is Number system?
A system of writing to express the number is called number system.
Given that;
The numbers on number line are -7.5 and -15.3.
Now, Distance between -7.5 and -15.3 can be calculated as;
= - 7.5 - (-15.3)
= - 7.5 + 15.3
= 7.8
Thus, The distance between points -7.5 and -15.3 on a number line is 7.8.
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the recommended heart rate for weight management exercise and improving cardio fitness, i beats per minute, depends on a person's age and can be represented by the expression 0.7(220-a)
PLEASE ANSWER! Giving away 15 points if someone answers!!!
Venetta buys 2 pounds of pistachios and 3 pounds of almonds. The pistachios cost $4 more per pound than the almonds. She pays a total of $48. Which of the following are true? Select all that apply. A. One pound of pistachios plus 1 pound of almonds cost $20. B. The pistachios cost twice as much per pound as the almonds. C. Reducing the number of pounds of almonds by one results in a total cost of $40. D. The cost a, in dollars, of 1 pound of almonds is modeled by 2(a – 4) + 3a = 48. E. The cost p, in dollars, of 1 pound of pistachios is modeled by 2p + 3(p – 4) = 48.
Answer:
Option A and C.
Step-by-step explanation:
Venetta buys 2 pounds of pistachios and 3 pounds of almonds for $48.
The cost of pistachios $4 more per pound than the almonds.
Let the cost of almonds be a
Therefore, cost of pistachios p = 4 + a ------(1)
Venetta bought 2 pound of pistachios and 3 pounds of almonds for $48, so the equation will be
2p + 3a = 48 -----------(2) [we will substitute equation 1]
2(4+a) + 3a = 48 --------------(3)
(2 × 4) + (2 × a) + 3a = 48
2a + 3a + 8 = 48
5a + 8 = 48
5a = 48 - 8
5a = 40
a = 40/5
a = 8
hence the cost of almonds are $8 per pound.
the cost of pistachios is 4 + 8 = $12 per pound.
Option A and C is the correct answer.
Jodys older brother is only three years less than twice Jodys age. If the sum of their ages is 30, then which of the following is the age of jodys brother? A)7 B)11 C)19 D)23
Jody's older brother's age can be found using the equation x + 2x - 3 = 30 and solving for x. The answer is C) 19.
Explanation:To solve this problem, we can set up an equation using Jody's age and Jody's older brother's age. Let's let Jody's age be x. According to the problem, Jody's older brother is three years less than twice Jody's age, so his age is 2x - 3. The problem also tells us that the sum of their ages is 30, so we can write an equation: x + (2x - 3) = 30. Solving this equation will give us the age of Jody's older brother.
Combining like terms and solving the equation, we get 3x - 3 = 30. Adding 3 to both sides, we get 3x = 33. Dividing both sides by 3, we find that x = 11. Therefore, Jody's older brother's age is 2x - 3 = 2(11) - 3 = 22 - 3 = 19.
So, the correct answer is C) 19.
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Which equation correctly applies the distributive property?
−1.5⋅(6⋅1.25)=(−1.5⋅6)⋅1.25
−2.5⋅0.6⋅5.8=−2.5⋅5.8⋅0.6
(0.7⋅0.7)+(0.7⋅0.9)+(0.7⋅0.2)=0.7⋅(0.7+0.9+0.2)
70+2.028=(70⋅2)+(70⋅0.02)+(70⋅0.008)
An online retailer charges $6.99 plus $0.55 per pound to ship electronics purchases.Write an equation to find how many pounds is a DVD player for which the shipping charge is $11.94?
You know the measures of two interior angles of a triangle. How can you find the measure of the third interior angle?
graph the solutions all real numbers that are greater than -8 and less than 8
Ali's dog weighs 8 times as much as her cat.together,the two pets weigh 54 pounds. How much does Ali's dog weigh?
“I am thinking of a number such that 6 less than the product of 7 and this number is 85.” Which number is she thinking of?
A. 11
B. 13
C. 84
D. 637
100!!!!!!! POINTS PLEZ SHOW WORK
let x = the number
7x - 6 =85
add 6 to each side
7x =91
divide each side by 7
x = 91 /7 = 13
Answer is B 13
Answer:
I agree with Music lover
Step-by-step explanation:
If Sam invested $3,000 and he earned $300 over six months, the principal is _____.
Beth read 10 pages in a book stopping at the top of page a on what pages did she begin
Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.
k = ______
(No answer choices) Please explain well!
Answer:
3
Step-by-step explanation:
Solve the equation 1/8x=5
The value of x in the equation is 40.
How to solve equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
In other words, an equation is a mathematical formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Therefore, let's solve for the variable x in the equation as follows;
1 / 8 x = 5
cross multiply
x = 8 × 5
x = 40
The value of x is 40.
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need help with #12 please
Divide. Use partial quotients. 1056÷48
To which place value is the number rounded? 8.293 to 8.29?
The area of a rectangle is 117 square meters the width is 9 meters what is the length of the rectangle
Plz Helppppp and can u explain why ?
What are the coefficents
in 5a + 6b- 7c
A shoe store marks up its merch by 8%. What was the selling price of a pair of shoes whose wholesale price is $24.50?
PLEASE HELP!! Which expression is equivalent to the given expression? 6y−12
6y−12
A)6y−12y−126y−12y−12
B)3y+3y−12
C)6y+6y−126y+6y−12
D)12y−6−6
3y+3y−12 is the right option
Step-by-step explanation:According to addition rules of algebra, only those terms can be added whose powers are same. Same terms while adding and subtracting at the same time cancel each other. As we can see that the second option 3y + 3y will give us -6y and then -12 is with it so it results 6y - 12 and that is the required function.
1/4 0f 15? What is the answer
In the following problem, how many people are in business together? Enter your answer as a number.
Maurice and three of his friends have a lemonade stand. They want to make enough money so that, after splitting the earnings evenly, each person earns $12.
Answer:
Will Give Brainliest
Final answer:
Maurice and his three friends are in business together, making a total of 4 people involved in the lemonade stand business.
Explanation:
The question asks about the number of people who are in business together at a lemonade stand. To find the answer, you consider Maurice and his three friends who are part of the business.
Therefore, the total number of people in business together is:
Maurice + three friends
So the total number of people in the business is:
1 (Maurice) + 3 (friends) = 4 people.
Nick has fraction 1 over 2 cup of syrup. He uses fraction 1 over 6 cup of syrup to make a bowl of granola. Part A: How many bowls of granola can Nick make with fraction 1 over 2 cup of syrup? Part B: On your own paper, draw a fraction model that shows the total number of bowls of granola that Nick can make with fraction 1 over 2 cup of syrup. Make sure to label the model. Below, explain your model in detail to describe how this model visually shows the solution for Part A.
Answer: There are 3 bowls of granola that Nick can make.
Step-by-step explanation:
Since we have given that
Part of syrup used by Nick = [tex]\dfrac{1}{2}[/tex]
Part of syrup used by Nick to make a bowl of granola = [tex]\dfrac{1}{6}[/tex]
So, Number of bowls would be
[tex]\dfrac{\dfrac{1}{2}}{\dfrac{1}{6}}\\\\=\dfrac{6}{2}\\\\=3[/tex]
Hence, there are 3 bowls of granola that Nick can make.
5(x – 2) = 30 Help her follow these steps to finish solving for x.
5(x-2) = 30
distribute the 5 by multiplying it with what is inside the parenthesis
5x-10 = 30
add 10 to both sides:
5x = 40
divide both sides by 5
x = 40/5
x = 8
The radius of a circle is 9. Using π, which equation expresses the ratio of the circumference of the circle to the circle's diameter? A) C /9 = π B) C /18 = π C) C = 9π/r D) C = r /18π
Answer:
The answer is C.
Step-by-step explanation:
option B
diameter = 2 × radius = 2 × 9 = 18
circumference = pi × 18 = 18pi
18pi/18
on simplifying this, we get pi.