a fruit company delivers its fruit in two types of boxes : large and small. a delivery of 6 large boxes and 5 small boxes has a total weight of 145 kilograms. A delivery of 2 large boxes and 3 small boxes has a total weight of 57 kilograms. how much does each type of box weigh?
Answers
Answer:
Weight of large box = 18.75 kg
Weight of small box = 6.5 kg
Step-by-step explanation:
a fruit company delivers its fruit in two types of boxes : large and small. a delivery of 6 large boxes and 5 small boxes has a total weight of 145 kilograms. A delivery of 2 large boxes and 3 small boxes has a total weight of 57 kilograms. how much does each type of box weigh?
Let
Weight of large box = x
Weight of small box = y
6x + 5y = 145 (1)
2x + 3y = 57 (2)
Multiply (2) by 3
6x + 9y = 171 (3)
6x + 5y = 145 (1)
Subtract (1) from (3)
9y - 5y = 171 - 145
4y = 26
y = 6.5 kg
Substitute y = 6.5 kg into (2)
2x + 3y = 57
2x + 3(6.5) = 57
2x + 19.5 = 57
2x = 57 - 19.5
2x = 37.5
x = 37.5/2
x = 18.75 kg
Weight of large box = 18.75 kg
Weight of small box = 6.5 kg
Related Questions
A parabola can be drawn given a focus of (8, 6) and a directrix of x=4. Write the equation of the parabola
Answers
Answer:
The equation of the Parabola
(y - 6 )² = 8 (x -6)
Step-by-step explanation:
Step(i):-
Given directrix x = 4
we know that x = h - a = 4
h -a = 4 ...(i)
Given Focus = ( 8,6)
we know that the Focus of the Parabola
( h + a , k ) = ( 8,6)
comparing h + a = 8 ...(ii)
k = 6
solving (i) and (ii) and adding
h - a + h+ a = 8 +4
2 h = 12
h =6
Put h = 6 in equation (i)
⇒ h - a =4
⇒ 6 - 4 = a
⇒ a = 2
Step(ii):-
The equation of the Parabola ( h,k) = (6 , 6)
( y - k )² = 4 a ( x - h )
(y - 6 )² = 4 (2) (x -6)
(y - 6 )² = 8 (x -6)
Graph the line.
Y+4=1/5(x-1)
Answers
Answer:
graph the point (0, -5) and from that point go up 1 unit and to the right 5 units (5, -4) and plot that point; connect the two points
Step-by-step explanation:
noel can wash 20 cars in 1.6 hours. How many cars can she wash in 4 hours?
Answers
A family went out to eat. The bill is $65.82. The family wants to leave a 20% tip. How much tip will be added on to the cost of dinner?
Answers
Answer:
$13.16
Step-by-step explanation:
Wade Boggs played professional baseball for three different teams in 18 years. The table shows his total number of hits for each team. Table showing the Red Sox had 2,098 hits, Yankees had 702 hits, and Devil Rays had 210 hits. Suppose he made the same number of hits each of the 18 years. If t = total number of hits and a = number of hits per year, which two equations can be used to determine the number of hits he made each year? Drag these equations into the box. t = 2,098 – 702 – 210. t = 2,098 + 702 + 210. t = 2,098 ÷ (702 + 210).a = 18 × t. a = 18 ÷ t a = t ÷ 18
Answers
Answer:
answer 2
Step-by-step explanation:
none
Answer:
2
Step-by-step explanation:
none
HURRY I NEED THIS IN 20 mins please help me
Write an equation for the function g whose graph is the graph off
f(x) = -100(1.05)
translated to the right 5 units and up 50 units.
Answers
Answer:
f(x) = -100(1.05)^(x+5) + 50
Step-by-step explanation:
Here, we want to write an equation that represents the transformation
5 units right means 5 units on the positive x-axis
50 units up means we add this to the total y value
So the resulting equation will be;
f(x) = -100(1.05)^(x+5) + 50
What's 9 in index form
Answers
Answer:
3²
Step-by-step explanation:
Pls help i dont understand
Answers
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Answers
Answer:
113
Step-by-step explanation:
I have no idea Imao
What is 70*3/4 explain how you got your answer
Answers
When you multiply a whole number by a fraction, multiply the whole number by the numerator, then divide that by the denominator.
70 x 3/4 = (70 x 3) /4 = 210/4 = 52.5
Answer:
105/2 simplified - 52 1/2
Step-by-step explanation:
I got this answer by turning 70 into a fraction - 70/1 and using cross multiplication.
What makes a linear pair with 84°?
Answers
Answer:
as per linear pair axiom it will be X + 84= 180
this answer is 106 degrees
I need help with the quadratic formula questions.
Answers
Answer:
hope the answer in the picture helps you.
solve the system of equations
−4x−3y=-21
x=y
Answers
Answer: x and y = 3
Step-by-step explanation:
what is the absolute vaule of the number you wrote as an answer to number 1
Answers
Answer:
Just remove the Negative from the number you got for question #1
Example:
|19| = 19
|-19| = 19
|8.2| = 8.2
|-7.8| = 7.8
best buys sells laptops for $422. If the sales tax is 5.5% what is the sales tax of the laptop?
**Write the decimal (this is money, so to the hundredths place
Answers
Answer:
$445.21
Step-by-step explanation:
Multiply 422 by .55. Add the answer of 422 times .55 to 422.
1.
We want to solve the following system of equations using the substitution method.
Equation 1
y = 4x + 17
Equation 2
y = 2x + 7
1a
First solve for x.
Enter your next step here
Skip step
Atilla Tektas - Unit...pdf
Answers
Answer:
2x + 7= 4x + 17
7=2x+17
-10=2x
-10/2=2x/2
x=−5
Nayeli brought Jamba Juice smoothies for herself and Evelyn after school one day the smoothies cost 4.95 each plus 8.5% tax how much charge did she receive from a $20 bill
Answers
Answer: $9.26
Step-by-step explanation:
The total cost for each of their smoothies was:
= 4.95 * 2
= $9.90
Including taxes it will rise to:
= 9.90 * (1 + tax)
= 9.90 * (1 + 8.5%)
= $10.74
Change she will receive is:
= 20 - 10.74
= $9.26
Please help-
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Answers
Answer:
the answer is SAS
side angle side
A full glass of water can hold a bottle.
How many glasses of water can be filled with 3 and 1/2 bottles of water?
Answers
These three points are collinear. (3, 6), (-2, -9), (0, -4)
True False
Answers
Answer:
False
Step-by-step explanation:
to determine if the points are collinear, determine the rate of change(slope) between (-2, -9) and (0, -4) and then the rate of change between (0, -4) and (3,6) and rate of change between (-2, -9) and (3, 6). if the rates are equivalent then the points are all collinear
between (-2, -9) and (0, -4):
m=(y2-y1)/(x2-x1)
=(-4-(-9))/(0-(-2))
=5/2
between (0, -4) and (3,6):
m=(y2-y1)/(x2-x1)
=(6-(-4))/(3-0)
=10/3
because 5/2 does not equal 10/3 the rates of change are not equal and the points are not collinear, do not need to consider slope between (-2, -9) and (3, 6)
9 + 2y = 2 - 3y
3 - 11x = 9 + 5x
4 - 7m = 12 - 3m
12 - (-9v) = 8 - 4v
Answers
Answer:
Multiple answers (image of work & answers below)
Step-by-step explanation:
What is the sum of (8a+2b-4)
Answers
Answer:
2(4a+b-2)
Step-by-step explanation:
All you need to do is factor out 2 from the expression. (sorry if this is wrong)
helpppppppppppp???????????????????????????????????????????????\\
Answers
B. B, C, F
C. A
D. if you can type two letters in AC, If only one try A
The function (n) = nr can be used to find the volume of air inside a basketball given its radius. What does V(r)
represent?
O the radius of the basketball when the volume is V
O the volume of the basketball when the radius is r
O the volume of the basketball when the radius is V
the radius of the basketball when the volume is r
Answers
Answer:
I believe it represents the volume of the basketball when the radius is r?
what is the area of DEF
Answers
Answer:
yo you know you can use the brainly scan &solve
Answer:
240 cm^2
find the scale factor of the length
k=20/6=3.33...
multiply the area of triangle ABC by the scale factor so 72 x 3.333..=240
Kayla and totsakan each improved their yards by planting hostas and shrubs. They bought their supplies from the same store. Kayla spent $80 on 8 hostas and 5 shrubs. Totsakan spent $85 on 9 hostas and 5 shrubs, find the cost of one hosta and the cost of obe shrub.
Answers
Answer: one hosta = $5
One shrub = $8.
Step-by-step explanation:
Let the cost of one hosta be h
Let the cost of one shrub be s
Kayla spent $80 on 8 hostas and 5 shrubs. This can be written as:
8h + 5s = 80 ..... i
Totsakan spent $85 on 9 hostas and 5 shrubs. This can be written as:
9h + 5s = 85 ..... ii
8h + 5s = 80 ..... i
9h + 5s = 85 ..... ii
Subtract i from ii.
h = 5
The cost of one hosta is $5
Since 8h + 5s = 80
8(5) + 5s = 80
40 + 5s = 80
5s = 80 - 40
5s = 40
s = 40/5 = 8
One shrub cost $8.
How does hiphop use energy as a element of dance PLEASE ANSWER
Answers
Answer:
Energy can happen with movement. Dance requires a bunch of movement.
dancing is the use of force, tension, and weight.
Explain how to recognize when a system of equations has no solution.
Answers
Answer:
A system of linear equations has no solution when the graphs are parallel. Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.
Step-by-step explanation:
Answer:
Compare the slopes and y-intercepts of the two equations by putting them in slope-intercept form. If the slopes are equal, but the y-intercepts are different, then the lines are parallel and have no solution because they do not intersect at any point.
Step-by-step explanation:
Thats the sample answer on edge :)
Two cylindrical soup cans have a volume of 40 cubic inches. Can their surface areas be unequal?
Answers
Michael earns $900 per month, plus 5% commission on all his sales over $750. what is the minimum amount of sales Michael must have to earn at least $3500 in a month?
Answers
Answer:
The minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000
Explanation: The minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000
Solution:
The expression to Michael earnings is:
Where,
b is the base salary, which is $ 900 in this sum
c is the commission rate
Given that commission rate is 5%
Michael must have to earn at least $2500 in a month
Here, at least means, "greater than or equal to" 2500
The inequality is framed as:
base salary + 5 % on sales 2500
Solve the inequality
Therefore minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000