an auto transport truck holds 12 cars. A car dealer plans to bring in 1006 new cars in June and July. if an auto transport truck is filled for each delivery, except for the last one, how many full truckloads are needed and how many cars will be in the last truck?
divide 1006 by 12
1006 / 12 = 83.833
so 83 full trucks
83 *12 = 996
1006-996 = 10 cars will be on the last truck
To transport 1006 cars, 84 full truckloads are needed, with 10 cars in the last truck.
Explanation:To calculate the number of full truckloads needed, we divide the total number of cars (1006) by the number of cars a truck can hold (12).
1006 / 12 = 83.83...
Since we can't have a fraction of a truckload, we round up to the nearest whole number.
Therefore, we need 84 full truckloads.
To find the number of cars in the last truck, we subtract the number of cars in the full truckloads from the total number of cars.
1006 - (83 * 12) = 1006 - 996 = 10
So, the last truck will have 10 cars.
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Solve the system of equations by substitution.
x + y =
x + 7y = 8
Describe how to transform the quantity of the fifth root of x to the seventh power, to the third powerinto an expression with a rational exponent. Make sure you respond with complete sentences.
Answer:
21/x5
Step-by-step explanation:
alecu a imprumutat de la un prieten romanul lui james verne ,,Ocolul Pamintului" in 80 de zile. Daca ar citi zilnic 14 pagini, ar terminar cartea in 12 zile. Deoarece sunt si alti doritori de a citi aceasta carte captivanta, prietenul l-a rugat sa-i inapoieze cartea intr-o saptamina. Cite pagini trebuie sa citeasca zilnic Alecu pentru a indeplini rugamintea prietenului?
slope is 0 and (0,5) is on the line
What is standard form please!
f(x)=2x+3 find x=9 explain how you got the answer please help me I need the answer today
You are a member of darts team and they have won £1750 prize money in a competition. £70 is to be saved for a celebration party; the remainder is to be divided equally between the 14 team members. How much will you get ?
7,231 divided by 24 is?
Write 70 in prime factor form
I need help with these three questions (please help me turn them into algebraic form) Thanks!
1.the quotient of five and the difference of a number and three
2.the product of a number and twenty decreased by eleven
3.the difference of thirty and a number, multiplied by two
How do you turn 8/10 as a percent
I WILL GIVE BRAINLIEST to who answers this question right
Triangle A’B’C’ is a dilation of triangle ABC about point P.
A. enlargement
B. reduction
Which fraction is bigger 5/6 or 8/9?
HELP YOU ONLY HAVE TO ANSWER 1 BUT YOU CAN DO ALL IF YOU WANT
1. Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 36. How old is each sister?
(a) Write an equation that represents the situation. Explain any variable used.
(b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence.
2. Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions, and identify each equation as an identity, a contradiction, or neither.
(a) 6x + 4x - 6 = 24 + 9x
(b) 25 - 4x = 15 - 3x + 10 - x
(c) 4x + 8 = 2x + 7 + 2x - 20
3. At a bargain store, Tanya bought 3 items that each cost the same amount. Tony bought 4 items that each cost the same amount, but each was $2.25 less than the items that Tanya bought. Both Tanya and Tony paid the same amount of money. What was the individual cost of each person's items?
(a) Write an equation. Let x represent the cost of one of Tanya's items.
(b) Solve the equation. Show your work.
(c) Check your solution. Show your work.
(d) State the solution in complete sentences.
1. Do you agree with Alex's choice of jobs? Why or why not? (1 point)
Item 9
Evaluate
(3−1)
3
+7(6)−
5
2
(3−1)3+7(6)−52
.
To evaluate the expression (3-1)³ + 7(6) - 5/2, simplify the components individually and then substitute the values back into the expression to find the final result of 47.5.
Evaluate the expression:
(3-1)³ + 7(6) - 5/2
First, we simplify the expression:
(3-1)³ = 2³ = 8
7(6) = 42
5/2 = 2.5
Substitute these values back into the expression: 8 + 42 - 2.5 = 47.5
An ostrich egg has about the same volume as a sphere with a diameter of 5 inches. If the eggshell is 1/12 inch thick, find the volume of just the shell, NOT including the interior of the egg. Round to the nearest tenth
Do those two problems have the same answer?
15 points!
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box.
Answer:
[tex]y=2x+2[/tex]
Step-by-step explanation:
step 1
Find the slope
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
[tex]A(-4,-6)\ B(2,6)[/tex]
Substitute the values
[tex]m=\frac{6+6}{2+4}[/tex]
[tex]m=\frac{12}{6}=2[/tex]
step 2
we know that
The equation of the line into slope intercept form is equal to
[tex]y=mx+b[/tex]
we have
[tex]m=2[/tex]
[tex]B(2,6)[/tex]
substitute and solve for b
[tex]y=mx+b[/tex] ------> [tex]6=(2*2)+b[/tex]
[tex]6=4+b[/tex]
[tex]b=2[/tex]
The equation of the line is equal to
[tex]y=2x+2[/tex]
The diameter of a circle is the same length as the side of a square . The perimeter of the square is 16 cm . Find the diameter of the circle . Then find the circumference of the circle in terms pie?
And help on this one too.
THANKYOU!
Which improper fraction is equal to the mixed number 4 7/9
The equation below shows the total volume (V),in cubic units, of 2 identical boxes with each side equal to s units:
V = 2s3
If s = 3.5 units, what is the value of V?
A: 21.0 cubic units
B: 24.5 cubic units
C: 36.75 cubic units
D: 85.75 cubic units
when [tex]$s = 3.5$[/tex] units, the total volume V of the two identical boxes is 85.75 cubic units. So option (d) is correct.
To find the total volume V of two identical boxes, we use the formula $V [tex]= 2s^3$[/tex], where s represents the length of a side of the box.
Given that s = 3.5 units, we substitute this value into the equation:
[tex]$$V = 2 \times (3.5)^3$$[/tex]
First, calculate the cube of 3.5:
[tex]$$(3.5)^3 = 3.5 \times 3.5 \times 3.5 = 42.875$$[/tex]
Now, multiply the result by 2 to find V:
[tex]$$V = 2 \times 42.875 = 85.75$$[/tex]
So, when [tex]$s = 3.5$[/tex] units, the total volume V of the two identical boxes is 85.75 cubic units.
Identify the solutions of the inequality 11 ≤ p + 5.
all real numbers greater than 6
all real numbers less than or equal to 6
all real numbers greater than or equal to 6
all real numbers less than 6
The formula d = rt gives the distance traveled in time t at rate r. A delivery truck drives for 1.5 hours and travels 76 miles.
What was the average speed of the truck?
a.38 miles per hour
b.50.7 miles per hour
c.74.5 miles per hour
d.114 miles per hour
a bag contains 5 blue, 8 red, and 7 green marbles. a marble is selected at random. Write each answer as a fraction, percent, and a decimal
Answer:
Look at the explanation!
Step-by-step explanation:
Blue: 5/20 or 1/4, .25, 25%
Red: 8/20 or 2/5, .40, 40%
Green: 7/20, .35, 35%
Which quotient results in a terminating decimal? A.)5/6 divided by 1/3 B.)50 divided by 6/5 C.)1/2 divided by 3/5 D.)100 divided by 3:4
Which graph shows y=1/2⌈x⌉ ?
Answer:
Your answer is B
Step-by-step explanation:
The graph that shows y=1/2⌈x⌉ is Graph B
How to determine the graphThe function y=1/2⌈x⌉ represents the graph of y in terms of x where [x] denotes the ceiling function that rounds x up to the nearest integer.
The graph of y=1/2⌈x⌉ consists of a series of horizontal line segments with a slope of 1/2 at integer values of x, jumping to the next integer value as x increases .
Visually, this graph would show horizontal line segments positioned at integer value of x, with each segment having a slope of 1/2 and stepping up or down to the next integer value of y
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Mr. Collins’s bowling league has 48 members. If the league splits into teams of 12 members each, how many equally sized teams will there be?