Answer:
[tex]38.4\ \text{units of fuel/mile}[/tex]
10
Step-by-step explanation:
Let [tex]N[/tex] represent the number of rail cars on the train
Each rail car adds 2.2 units of fuel per mile.
Fixed fuel consumption is 12 units of fuel per mile
The function of fuel consumption per mile is
[tex]f(N)=12+2.2 N[/tex]
when
[tex]N=12[/tex]
[tex]f(12)=12+2.2\times 12\\\Rightarrow f(12)=38.4\ \text{units/mile}[/tex]
[tex]\boldsymbol{f(12)=38.4\ \text{units/mile}}[/tex]
[tex]f(N)=34\\\Rightarrow 12+2.2N=34\\\Rightarrow N=\dfrac{34-12}{2.2}\\\Rightarrow N=10[/tex]
So, the number of rail cars when [tex]f(N)=34[/tex] is 10.
on a baseball diamond, Tom, Jerry,and Mark are each standing at different corners. The distance be tween tom and Jerry is 30 feet. If we assume that the angle at Jerry is a right angle,what is the distance from tom to mark
9514 1404 393
Answer:
30√2 feet ≈ 42.4 feet
Step-by-step explanation:
If the right angle is at Jerry, then Jerry is at a base location between Tom and Mark. That is, Tom and Mark are at opposite corners of the diamond. The distance from Tom to Jerry is the length of one side of the square. Its diagonal is √2 times the side length, so ...
the distance from Tom to Mark is 30√2 feet ≈ 42.4 feet
HELPPPPPPP ASAPPPPP PLSSSSSA
Which assignment is that??
Please help I am doing a timed test I will choose brainliest
Write the standard form of the equation of a line with a slope of 3 passing through the point (-1, -5).
Select one:
a. -x + 3y + 14 = 0
b. x - 3y - 14 = 0
c. 3x - y - 2 = 0
d. -3x + y + 2 = 0
Step 1: We start by writing the equation of the line in slope-intercept form by solving for b.
[tex]-5 = 3(-1) + b\\\\-5 = -3 + b\\\\-2 = b\\[/tex]
Step 2: Now we set up the equation of the line in slope-intercept form.
[tex]y = 3x - 2[/tex]
Step 3: We can now convert the above equation from slope-intercept form to standard form.
[tex]y = 3x - 2\\\\-3x + y = -2\\\\-3x + y + 2 = 0[/tex]
The equation of the line in standard form is: D: -3x + y + 2 = 0.
What is the system of equations represented by the table of values for continuous
linear functions, f(x) and g(x), shown below?
Answer:
A
Step-by-step explanation:
Answer: A
Step-by-step explanation:
Given that x=8 and y= 12, calculate the value of x3 + y/4
Answer:
72
Step-by-step explanation:
8 times 3 = 24
12 divided by 4 = 3
24 times 3 = 72
Can somebody plz answer all of them correctly! (Only if u done this before) THANKS!
will mark brainliest
Answer: 31: -12, -2
32: -6, 3
33: 4, -4
34: 1, 8
35: 2, -6
36: 2, -3
37: -5, -6
38: -8, 9
39: 7, 0
Step-by-step explanation:
Hope this helps!
Answer:
31. -12, -2
32. 6, -3
33. -4, 4
34. 8, 1
35. -6, 2
36. -3, 2
37. -6, -5
38. 8, -9
39. 7, 0
Step-by-step explanation:
31. -12 + -2 = ‐14 and -12 x -2 = 24
32. 6 + -3 = 3 and 6 x -3 = -18
33. -4 + 4 = 0 and -4 × 4 = -16
34. 8 + 1 = 9 and 8 x 1 =8
35. -6 + 2 = -4 and -6 x 2 = -12
36. -3 + 2 = -1 and -3 x 2 = -6
37. -6 + -5 = -11 and -6 x -5 = 30
38. 8 + -9 = -1 and 8 x -9 = -72
39. 7 + 0 = 7 and 7 x 0 = 0
Brainiest to the first CORRECT answer
Step-by-step explanation:
(9.16 * -30)= -27.48
(5.5 x 160)° 880
During an 8-hour shift, Sophia can make
24 sweaters.
Answer:
so what can we do for Sophia???
LOL
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words. What value of x makes this equation true? -2x + 3 = -15
What does x =
Answer:x=9
Step-by-step explanation:
-2x+3=-15
Subtract 3 on both sides:
-2x+3-3=-15-3
-2x=-18
Divide -2 on both sides:
-2x/-2=-18/-2
x=9
If the expression (- 2x + 3) is equivalent to (- 15), then [x] is equivalent to 9.
What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is the equation as follows -
- 2x + 3 = - 15
The given equation is -
- 2x + 3 = - 15
Solving, we get -
- 2x = - 15 - 3
- 2x = - 18
2x = 18
x = 9
Therefore, if the expression (- 2x + 3) is equivalent to (- 15), then [x] is equivalent to 9.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ2
a lawnmower that regularly sells for %150 was discounted by 25% off.
Questions:
Markup?
Sale price?
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Solve by factoring.
x^2 + 6x = -9. Hint: This is a double root.
Answer:
x=-3
Step-by-step explanation:
my work is in the picture. lmk if you need me to explain more
In response to very high demand, a new bike has been marked up by 25% and is now selling for $210.00. How much was the bike before the mark-up?
Answer:
210.00 divided by 4 = 52.5 then you would subtract 210 by 52.5 and you would get 157.5.
Step-by-step explanation:
PLS HELP ILL GIVE BRAILIST
Answer:
14 hrs
Step-by-step explanation:
just keep adding up the miles till u get to 804 then u find out what half of 268 is which it is 134 then u add 804 plus 134 to get 938 then u find out how many hours that is which half 4 hours is and 2hrs
Harriet needs to ship a small vase. The box she will use has a volume of 216 cubic inches. If the side lengths are all the same, what is the length of each side of the box?
Answer:
1080
Step-by-step explanation:
What would the equation be if my coordinates were, (-4,3) (2,6) ?
Answer:
y=1/2x+4
Step-by-step explanation:
change of x=2-(-4)=6
change of y=6-3=3
slope=3/6 or 1/2
y intercept=5
y=1/2x+5
A high school coach needs to buy new athletic shorts for 15 members of the basketball team. The coach must spend less than $200 and needs to determine how much he can spend per pair of shorts.
Answer:
Well i dont know the answers but it is 13.33
Step-by-step explanation:
He can spend 13 dollars per pair of shorts
Help pls! A room is 12 feet long and 10.5 feet wide. A scale model of the room is 3.5 feet wide. What is the area of the scale model?
A. 10.3 square feet
B. 14 square feet
C. 122.5 square feet
3 divided by 2/5
A. 7
B. 7 1/5
C. 7 1/2
D. 8
The answeris (71/5)..
Answer:
C
Step-by-step explanation:
3 divided by 2/5 will become 3 times 5/2
multiply the numerator so 15
and the denominator is 2
15/2 is 7.5
so 7 and 1/2
so your answer is C
-6x+3y=-7 x-intercept
Answer:
X=-6 y=3
Step-by-step explanation:
Answer:
7/6
Step-by-step explanation:
-6x+3y=-7
-6x=-3y-7
x=1/2y+7/6
x-int= 7/6
The pizza shop sells artwork by local artists. For each piece it sells, the shop receives a 15 percent commission. The most expensive piece it ever sold was priced at $225. Which expressions represent how much the shop received? Check all that apply.
Answer:
The 15 percent commission is what the shop received.
Step-by-step explanation:
It said that the most expensive piece it ever sold was 225
not that the most money they made is 225
a and b
Step-by-step explanation:
I need 5 lines that have a positive slope
Answer:
y=5x+3
y=2x-6
y=(2/3)x+8
y=100x-15
y=10x-2990
Step-by-step explanation:
The equation of a line is y=mx+b, where m is the slope and b is the intercept. As long as m is positive and you plug something in for b, it can be used to answer your question.
1. A recipe for a pan of brownies requires 1.50
cups of milk, 0.675 cups of sugar, and 1.05
cups of oil. How many cups of ingredients
will there be in the mixing bowl?
Answer:
3.225 cups
Step-by-step explanation:
1.50 cups + 0.675 cups + 1.05 cups = 3.225 cups
1.50 cups
1.05 cups
0.675 cups
3.225 cups
A bus company uses a grid to locate bus stops. The bus station is at (3, 4). The point (7, 6) represents the first bus stop. The location of each stop after that is determined using the same relationships as those between the coordinates of the bus station and the first bus stop.
Which point represents the fourth bus stop?
A.
(11, 8)
B.
(13, 12)
C.
(15, 10)
D.
(19, 12)
Answer:
Y then X
Step-by-step explanation:
cause I know
Answer: C bc i think
Plz help I’ll mark brainliest
Answer:
J
Step-by-step explanation:
I did it in my head so?? ya
gl
LOOK AT THE PICTURE
Determine whether the graph represents a proportional relationship.
Yes, it is a proportional relationship because the graph goes through the origin
Yes, it is a proportional relationship because the graph is a straight line
No, it is not a proportional relationship because the graph is not a straight line
No, it is not a proportional relationship because the graph does not go through the origin
Answer:
No, it is not a proportional relationship because the graph does not go through the origin
Step-by-step explanation:
Has to be in the origin in order to be proportional
Answer:
the anser is C
Step-by-step explanation:
i took the test
Insert brackets to make this calculation correct.
4 - 1 x 2 = 6
Answer:
(4-1)x2=6
Step-by-step explanation:
(4-1)x2=6
(3)X2=6
6=6
Answer:
[4 - 1] x 2 = 6
Step-by-step explanation:
Test out each possible solution.
Problem: 4 - 1 x 2 = 6
#1: [4 - 1] x 2 = 6
4 - 1 is 3.
3 x 2 is 6.
6 = 6 ✅
#2: 4 [-1 x 2] = 6
-1 x 2 is -2.
-2 [tex]\neq[/tex] 6 ❎
Therefore, #1 is correct.
Find the slope and the y-intercept of the line.
y = 8x-1
Answer:
Slope: 8 Y-intercept: -1
Step-by-step explanation:
This equation follows the format of y = mx + b. M would be the slope, b would be the y-intercept.
What is the place value of the 3 in the number 40,328,960
LSA of a cube is 1600cm2, then its edge is:
Answer:
20 cm
Step-by-step explanation:
A cube has 6 faces. Two of the faces are bases. The other four faces are lateral faces.
Let the area of 1 face = x
4x = 1600 cm^2
x = 400 cm^2
Since the area of 1 face is 400 cm^2, then the side length is sqrt(400 cm^2) = 20 cm
Answer: 20 cm
What is the slope of the line that passes through the points (-4, 4)(−4,4) and (-6, 6) ?(−6,6)? Write your answer in simplest form.