The original price of the classic car was $5,000
The student's question seeks to determine the original price of a classic car, given that the selling price is $16,000, which is $1,000 more than three times its original price. To find the original price, we can set up an equation: let the original price be represented by x. The equation based on the information provided would be:
3x + $1000 = $16000
Subtracting $1000 from both sides to isolate the terms with x gives us:
3x = $16000 - $1000
3x = $15000
Finally, dividing both sides by 3 to solve for x, we get:
x = $15000 / 3
x = $5000
Therefore, the original price of the car was $5000.
The original price of the car was $5000
Let the original price of the car be x.
According to the problem, the relationship between the original price and the selling price can be described by the following equation:
[tex]\[ 3x + 1000 = 16000 \][/tex]
To find x :
Isolate x on one side :
Subtract 1000 from both sides to remove the extra cost:
[tex]\[ 3x = 16000 - 1000 = 15000 \][/tex]
Solve for x :
Divide both sides by 3:
[tex]\[ x = \frac{15000}{3} = 5000[/tex]
Thus, the original price of the car was $5000.
Question :
The selling price for a classic car is $16000 which is. $1000 more than three times its original price. What was the original price of the car?
the table shows the low temperature in five cities on a winter day. which statement is true
A. it is warmer in Tacoma than in Roseville
B. it is colder in Roseville Than in Helena
C. It is warmer in Helena than in Fargo
D. it is colder in Tacoma than in Great Falls
Find the roc of the volume of a cube with respect to the length of its side s
The roc of the volume of a cube with respect to the length of its side s is 3s².
What is rate of change?
The rate of change of a function is the rate at which the output values change over the input value.
The rate of change of a function is one degree less than the actual function.
The volume of a cube is :
V = s³
The rate of change of volume V with respect to length a will be :
dV/ds = d(s³ )/ds
= 3s²
This means that, a cubic function will have a quadratic rate of change
Hence, The roc of the volume of a cube with respect to the length of its side s is 3s².
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What number is 49 less than 78
If there were a million cars in line, bumper to bumper, with a average length of 10.14 feet, how long would that line be in miles? (Round to the nearest mile)
Solve P=2D+2C for D
Answer: D = (P - 2C)/2
Step-by-step explanation:
We want to solve P= 2D + 2C for D
This means "isolate D in one side of the equation"
The first step is subtracting 2C in the both sides of the equation:
P - 2C = 2D + 2C - 2C = 2D
P - 2C = 2D
Now, we want to take of the multiplication that is acting on D, so we divide in both sides by 2:
(P - 2C)/2 = (2D)/2 = D
Now we have D isolated, and this is:
D = (P - 2C)/2
Suppose a and b are 3x3 matrices, with det(a) = 5 and det(b) = 3.
a. det(2a) = ? 4 pts
b. det((ab)-1) = ?
Harrison mows lawns and rakes leaves for his summer and fall weekend jobs. He gets $10 an hour to mow lawns and $8 an hour to rake leaves. If, during September, Harrison mows for m hours and rakes for 12 hours, which expression represents the amount of money he makes? Harrison mows lawns for 11 hours, so m = 11. How much money does he make in September?
Answer:
first one is 10m+8(12)
second one is 206
Step-by-step explanation:
i took it alrr..
The domain for f(x) and g(x) is the set of all real numbers. let f(x) = 3x + 5 and g(x) = x2. find g(x) − f(x). x2 − 3x − 5 3x3 − 5x2 3x2 − 5 x3 − 5
rachel's necklace cost 20% more than Tammy's shoes. Bryan' s video game cost 30% more than Rachel's necklace. If Tammy's shoes cost $30.00, what did Brian's video game cost?
Answer:
46.80
Step-by-step explanation:
Pls brainly I need it so bad I spent 10 minutes of my time to solve this.
A flea weighs 8 decigrams, and an ant weighs 3 milligrams. How much more does a flea weigh than an ant?
Answer:
797 milligrams
Step-by-step explanation:
Hope this helps!
Which equation has the same solution as 4-2(x-5)-x-19
The equation 3x - 4 = 2x + 7 has the same solution as 4 - 2(x - 5) = x - 19, with both solutions yielding x = 11.
Let's solve the equation step-by-step: 4 - 2(x - 5) = x - 19
First, expand the left side:Now, let's compare this solution to other given equations:
2(x + 5) = -8The equation with the same solution as 4 - 2(x - 5) = x - 19 is 3x - 4 = 2x + 7.
Complete question: Which equation has the same solution as 4 - 2(x - 5) = x - 19?
2(x + 5) = -83(x - 3) = 9x + 2 = 2x - 33x - 4 = 2x + 7Compare methods of solving linear equations and methods of solving linear inequalities. what do they have in common? what is different?
1.Find the coordinates of the midpoint of __ given that H (-1,3) and X (7,1).
HX
A.(3,1)
B (0,4)
C(-3,1)
D(-4,0)
2. Find the distance between the points R(0,5) and S(12,3). round the answer to the nearest tenth.
A 10.4
B 16
C 12.2
D 11.8
3. An airplane at T(80,20) needs to fly to both U(20,60) and V(110,85) what is the shortest possible distance for the trip?
A. 165 units
B. 170 units
C. 97 units
D. 169 units
Answer:
1. (3, 2)
2. Option C. 12.2
3. Option A. 165 units
Step-by-step explanation:
1. The midpoint of two coordinates (x₁, x₂) and (y₁, y₂) is calculate by,
[tex](x, y) = (\frac{x_{1} + x_{2}}{2},\frac{y_{1} + y_{2}}{2})[/tex]
⇒[tex](x, y) = (\frac{-1 + 7}{2},\frac{3 + 1}{2})[/tex]
Thus (x, y) = (3, 2)
Hence, none of given options are true.
2. The distance between two coordinates is calculate by,
[tex]Distance=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2[/tex]
⇒ Distance = 12.16 ≈ 12.2 unit
Hence, option (C) is correct.
3. The distance between T(80, 20) and V(110, 85) is comparatively smaller than T(80, 20) and U(20, 60).
Using the Distance formula,
[tex]Distance=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2[/tex]
Distance between T(80, 20) and V(110, 85) is 71.59 unit
and Distance between U(20, 60) and V(110, 85) is 93.41 unit
So, Airplane firstly go to point V from point T and then point U.
Total shortest distance = 71.60 + 93.40 = 165 unit.
Hence, option (A) is correct.
Tim bought a pen for $2.25, a pencil for $0.59, a notebook for $6.49, and a highlighter for $1.49. He used a coupon that gave him $5.25 off his entire purchase. How much did he spend in total?
an air traffic controller is tracking two planes. To start, playing a is at an altitude of 2814 ft and plan B is just taking off. Plan a is gaining altitude at 30.5 feet per second in playing day is gaining altitude at 80.75 feet per second. How many seconds will pass before the planes are on the same altitude
Answer:
56 seconds will pass.
Step-by-step explanation:
Because its right. :)
please give brainliest
Find the distance between points M(6,16) and Z(-1,14) to the nearest tenth.
What is "The sum of m and n"
is (3,13) a solution of the equation y=4x
The area of a square garden is 98 meters squared. How long is the diagonal
Consider the graph of f(x)=1/x. Which functions result in a vertical compression? Check all that apply.
a. g(x)=1/3x
b. g(x)=3/x
c. g(x)= - 3/x
d. g(x)= - 1/3x
Answer:
A & D
Step-by-step explanation:
jackson made 15 calls in 20 minutes. how many calls per minute did he make
Ken watches a marching band. He sees 2 rows of flute players. Six people are in each row. He sees 8 trombone players. How many flute or trombone players does Ken see
A miner descended 1500 feet into a mine. While in the mine, he then rose 1200 feet and then descended 850 feet. What was the miner's net gain or loss in altitude?
What's the range of 37000 and 45000
This number represents the number of times the base is used as a factor
kayla wrote a three-digit number.the value of the digit in the hundreds place is 6 hundreds. the digit in the tens place is 3 less than the digit in the hundreds place. sum of all three digital is 12.what is kayla number?
The mailman delivered a $22 check and 3 - $14 bills today. He also took back 1- $5 bill. What is the total in the mailbox?
If a production line produces 50 mouse traps every 30 minutes over the course of a 10-hour work day with a half hour break for lunch how many mouse traps are made in a day
Mary having her living room and bedroom painted. Interior Designs USA charges $60.00 to evaluate the space plus $35.00 per hour of labor. Splash of Color charges $55.00 per hour with no initial fee. Which of the following are true? Select all that apply.
If it takes 7 hours to paint the two rooms, Interior Designs USA will charge the least.
Splash of Color will always charge the least.
If it takes more than 5 hours to paint the rooms, Splash of Color will be more cost effective.
If it takes 10 hours to paint the rooms, Splash of Color will charge $200 more than Interior Designs USA.
If it takes 3 hours to paint the rooms, both companies will charge the same amount.
Answer:
The correct statements are 1, 3, and 5.
Explanation:
Let's calculate the total cost for each company based on the given information:
For Interior Designs USA:
- Evaluation fee: $60.00
- Labor cost per hour: $35.00
- Total labor cost for 7 hours: $35.00/hour × 7 hours = $245.00
- Total cost = Evaluation fee + Total labor cost = $60.00 + $245.00 = $305.00
For Splash of Color:
- Labor cost per hour: $55.00
- Total labor cost for 7 hours: $55.00/hour × 7 hours = $385.00
Now, let's analyze the statements:
1. If it takes 7 hours to paint the two rooms, Interior Designs USA will charge the least. - True. ($305.00 < $385.00)
2. Splash of Color will always charge the least. - False. In this case, Interior Designs USA charges less for 7 hours of work.
3. If it takes more than 5 hours to paint the rooms, Splash of Color will be more cost effective. - True. As we've seen, Splash of Color charges $55.00 per hour, while Interior Designs USA charges $35.00 per hour plus an initial fee.
4. If it takes 10 hours to paint the rooms, Splash of Color will charge $200 more than Interior Designs USA. - False. Let's calculate:
- Interior Designs USA: $60.00 (evaluation fee) + $35.00/hour × 10 hours = $60.00 + $350.00 = $410.00
- Splash of Color: $55.00/hour × 10 hours = $550.00
Splash of Color charges $550.00 - $410.00 = $140.00 more, not $200. Therefore, this statement is false.
5. If it takes 3 hours to paint the rooms, both companies will charge the same amount. - False. Let's calculate:
- Interior Designs USA: $60.00 (evaluation fee) + $35.00/hour × 3 hours = $60.00 + $105.00 = $165.00
- Splash of Color: $55.00/hour × 3 hours = $165.00
They both charge $165.00, so this statement is true.
So, the correct statements are 1, 3, and 5.
The relationship between the number of $4 lunches you buy with a $100 school lunch card and the money remaining on the card