Answer:Possible Answers: 13.2%. 5.7%. 15.0%.
Step-by-step explanation:
A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 70 pounds. The truck is transporting
50 large boxes and 70 small boxes. If the truck is carrying a total of 4100 pounds in boxes, how much does each type of box weigh?
Answers:
one small box = 30 pounds
one large box = 40 pounds
==========================================================
Work Shown:
S = weight of one small boxL = weight of one large boxS+L = 70 since the two boxes combine to 70 pounds.
70S = weight of 70 small boxes
50L = weight of 50 large boxes
70S+50L = weight of 70 small and 50 large
70S+50L = 4100
The system of equations is
[tex]\begin{cases}S+L = 70\\70S+50L = 4100\end{cases}[/tex]
There are a few ways to solve this system. I'll use substitution.
I'm going to isolate L in the first equation like so
S+L = 70
L = 70-S
Which I'll then plug into the other equation to solve for S
70S+50L = 4100
70S+50(70-S) = 4100
70S+3500-50S = 4100
20S+3500 = 4100
20S = 4100-3500
20S = 600
S = 600/20
S = 30
Each small box is 30 pounds.
Use this value of S to find L
L = 70-S
L = 70-30
L = 40
Each large box is 40 pounds.
Like we expect, each large box weighs more compared to any given small box.
------------------
Check:
S+L = 30+40 = 70 verifies the first equation70S+50L = 70*30+50*40 = 4100 verifies the second equationBoth equations are true for the ordered pair (S,L) = (30,40). Therefore, the answers have been confirmed.
What is the inverse of the function f(x)=-4x+2
Answer:
The inverse of f is [tex]f^{-1}[/tex] = (x -2)/4
Step-by-step explanation:
To find the inverse of f(x) = 4x + 2 , interchange the variables and solve for y.
Rewrite f(x) = 4x + 2 as x = 4y + 2 then solve for y
x -2 = 4y
(x - 2)/4 = y
The graph below shows the height through which an elevator travels, y, in x seconds:
What is the rate of change for the relationship represented in the graph?
1 over 15
1 over 14
14
15
can somebody please help me
10X10
yesssssssssssssssss
Answer:
100
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
154= -4(8 + 6x) + 24x
how do I solve this? 4-0,9+(-0,11)-(-1,3)
Answer:
Hope it will help a lot ask for more info
A 4-card poker hand is dealt at random from a standard 52-card deck. What is the total number of possible hands
Answer:
Step-by-step explanation:
The first choice is 1 out of 52
The second choice is 1 out of 51 because 1 card went with the first choice
The third is 1 out of 50
The fourth is 1 out of 49
Number of hands = 52*51*50*49
Number of hands = 6497400
x/-7 = -3 (equation)
Answer:
x=21
Step-by-step explanation:
x/-7=3
[tex]\frac{x}{-7}[/tex](-7) = -3(-7)
x=21
Answer:
21
Step-by-step explanation:
x/-7 = -3
x = -3 . -7
x = 21
1. Cheryl is planning to spend $15 on a Christmas gift for her father. He needs new socks and ties. A store has socks on sale for $3 and ties for $5. Write an equation in standard form that
represents this situation.
Answer:
4 dollars in total
Step-by-step explanation:
its 75 after the spend
One angle of an isosceles triangle measures 140°. Which other angles could be in that isosceles triangle? 80° 20° 50° 40° plzzzzzzzzz help me
Answer:
20°
Step-by-step explanation:
If it's an isosceles triangle, the two remaining angles should be equal. (Angles opposite to equal sides are equal)
∴ one remaining angle = (180° - 140°)/2
= 40° / 2
= 20°
Which of the following equations has the same solutions as the equation 3x+2y=-12? Check all that apply.
You used 5 cups of flour to bake 80 cookies. How many cups of flour do you need if you bake 144 cookies?
Answer:
9 cups
Step-by-step explanation:
We can write a ratio to solve
5 cups x cups
------------ = ----------------
80 cookies 144 cookies
Using cross products
5 * 144 = 80x
720 = 80x
Divide by 80
720/80 = 80x/80
9=x
Answer:
7 1/5 cups of flour to mae 144 cookies
Step-by-step explanation:
80/5 = 20 cookies per cup of flour
so 20x7 = 140 and then you still need four more so take the four and another cup of flour and divide the 20 by 4 then you get 5 thus you 7 and 1/5ths cups
3x + 2y= 16
2x - 3y= 2
Answer:
x=4 and y=2
Step-by-step explanation:
What is the surface area of a cuboid?
As the cuboid has six rectangular faces, the total surface area of the cuboid is calculated as follows: Assume that, l, w, h be the length, width, and height of the cuboid respectively. Therefore, the total surface area of the cuboid is 2 (lh + lw+ hw) square units.
Divide 320 into 8 equal groups
Answer:
320 divided by 8 is 40. 40 times 8 is 320, so it works backwards.
When dividing 320 into 8 equal groups, each group would contain 40.
We have to divide 320 into 8 equal groups.
Performing the division as
8 | 320 | 40
320
-_______
0
So, 320 ÷ 8 = 40
Therefore, when dividing 320 into 8 equal groups, each group would contain 40.
Learn more about Division here:
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PLEASE HELP ME OUT!!
Answer:
Hello!
Judging by the question you have provided I have come up with the correct solution:
y=25x+175
Step-by-step explanation:
The way I came up with the solution is by understanding how to write the correct equation using the correct variables in the correct places.
In the equation y=mx+b, the variable "b" will always be an independent variable.
The independent variable of Candace equation is "175 gallons". This is because this amount does not change throughout the entire equation.
Next, the variable "m" will always be a dependent variable.
The dependent variable of the Candace equation is "25 gallons". This is because this variable is effected by "x amount of hours".
So when you input these given variables in the correct places you get:
y=25x+175
helppppppppppppppppp meeeeeeeee
Answer:
WHEN THE BIRDS FLYING IN THE FIRE COZ THE MOON IS RECTANGLE I LIKE COLOR YELLOW COZ MY POP IS CIRCLE
Which rule explains why these scalene triangles are similar?
A. SSS
B. SAS
C. AA
D. None of the above; the triangles cannot be proven similar
Answer:
D. none of the above
Step-by-step explanation:
no side lengths given
no angles are the same in both triangles
Function or not a Function
Answer:
Function; Not a function
Step-by-step explanation:
Write the ordered pair in the first set (x, y): (1, 11), (2, 7) , (3, 2)
Write the ordered pair in the second set (x, y): (1, 3), (1, 4), (2, 4) , (3, 2)
The first set in a function because no ordered pair has the same x value.
The second set in not a function because the x value is the same in two of the ordered pairs.
Please help ... need help
Answer:
c maybe
Step-by-step explanation:
I tried to solve it but I still don't get it
Answer:
x^3 - 4x^2 - 6x + 3
Step-by-step explanation:
Divide using polynomial division.
IVE BEEN WORKING ON THIS ALL DAY
Two arithmetic sequences A and B both begin with 30. Sequence A has common difference 9 and sequence B has common difference 4. What is the difference between the 51st term of A and the 51st term of B?
The n-th term of an arithmetic sequence with first term a and common difference d is
a + (n - 1) d
So, the 51st term of A is
30 + 9 (51 - 1) = 480
while the 51st term of B is
30 + 4 (51 - 1) = 230
The difference between them 480 - 230 = 250.
Solve this equation for the indicated variable.5b + 12c=9 for b
Answer:
b = (9 - 12c)/5 OR b = 9/5 - 12c/5
Step-by-step explanation:
5b + 12c = 9
Subtract 12c from both sides.
5b = 9 - 12c
Divide both sides by 5.
b = (9 - 12c)/5.
plz help answer question
Answer:
the awnser is 14
Step-by-step explanation:
2.draw the following lines and then write an equation for each. a.slope is 0, y-intercept is 5. b. slope is 2, y-intercept is -1. c. slope is -2, y-intercept is 1.
Answer:
. bd s solicitarlo
Step-by-step explanation:
.
supuestamente
I know the answer to the question but what is 45292062 + 64829162629 + 123146 =
Answer:
64874577837
Step-by-step explanation:
you simply add the numbers
45292062 + 64829162629 + 123146 =
64874454691 +123146
64874577837No one i don't know use this
Answer:
Lol
Step-by-step explanation:
What is the area of a rectangle with vertices at (0, −4), (−1, −3) , (2, 0), and (3, −1)? Enter your answer in the box. units²
Answer:
12
Step-by-step explanation:
Answer:
Area of the rectangle is [tex]6u^{2}[/tex]
How to find area of rectangle if the vertices are given:
Let the vertices be or the given vertices:
A [0,-4]
B [-1,-3]
C [2,0]
D [3,-1]
Area of rectangle is twice the area of triangle, i.e. if the area of rectangle is ABCD and area of triangle is ABC.
Area of triangle is given by determinant:
Area of triangle = 1/2 [x1, y1]
1/2 [x2, y2]
1/2 [x3, y3]
1/2 [x4,y4]
Putting all the values in this format we will get :
Area of triangle = 1/2 [0×-4]
[-1×-3]
[2×0]
Because we have assume 0 as x1 and -4 as y2
-1 as x2 and -3 as y2
2 as x3 and 0 as y3
By solving that equation we will get:
1/2[ −4 0 1]
[−3,1,1]
[0,−2,1]
=1/2(−4⋅(1⋅1+1⋅2)−0+1⋅(6−0))
=1/2|-6|= [tex]3u^{2}[/tex]
= -3=[tex]3u^{2}[/tex]
= [tex]6u^{2}[/tex]
In a two-dimensional plane, a triangle's area is the space it encloses. Known for having three sides and three vertices, a triangle is a closed shape. The sum of the spaces occupied by a triangle's three sides is known as its area. Half of the product of a triangle's base and height is the usual formula for calculating its area.The area that is included within the perimeter of a flat object or figure is generally considered to be the definition of the word "area." The square units used for measuring are square meters as the standard unit (m2). There are already established formulas for calculating the area of squares, rectangles, circles, triangles, etc.
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What is 184.24 to 4 significant figures
