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vfiekz [6]
3 years ago
10

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 2 large boxes and 5 small boxes has a t

otal weight of 67 kilograms. A delivery of 8 large boxes and 3 small boxes has a total weight of 166 kilograms. How much does each type of box weigh?
Mathematics
1 answer:
gulaghasi [49]3 years ago
7 0
If a large box weighs x kgs and a small box weighs y kgs, we get 
2x+5y=67
8x+3y=166

Multiplying the first equation by -4 and adding it to the second, we get
-17y=-102. Dividing both sides by -17, we get y=6. Plugging it into the first equation , we get 2x+30=67 and 2x=37. Dividing by 2, x=18.5
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a parallelogram is being painted on the wall of a playroom the parallelogram measures 7.3 meters in length and has a height of 5
Katena32 [7]

Answer:

36.5

Step-by-step explanation:

7 0
3 years ago
At a picnic there were 3 times as many adults as children and twice as many women as men. If there was a total of x men, women,
Dennis_Churaev [7]

Answer:

\dfrac{x}{4}

C is correct.

Step-by-step explanation:

At a picnic,

Number of adults is 3 times as number of children.

Number of women is twice as number of men.

Total number of men, women and children at the picnic be x

Let number of children be c

Let number of men be m

Let number of women be w

# Number of women is twice as number of men, w = 2m

# Number of adults is 3 times as number of children, w + m = 3c

      2m + m = 3c     (∴  w=2m )

                c = m

Total number of men, women and children at the picnic be x

∵       c + m + w = x

     m + m + 2m = x

                    4m = x

Number of men, m=\dfrac{x}{4}

Hence, The total number of men will be  \dfrac{x}{4}

5 0
2 years ago
Simplify the following inequality 3x + 12 ≥2(4x + 3) −21<br><br> Help I need the answer ASAP
Vlada [557]

Answer:

x ≤ 27/5

Step-by-step explanation:

3 0
3 years ago
NEED HELP SOON!!!!<br> for any numbers a, b, and c, a(b + c)=ab+ac
navik [9.2K]

The property displayed here is the distributive property.

If you have a variable or unknown number inside or outside of parentheses, you can distribute it to each term and add the terms together, and it will remain true.

Example:

4(x + 5)

After distributing, it'll look like this:

4x + 20


6 0
3 years ago
Determine the volume of the rectangular prism.<br>​
Flauer [41]

Answer:

<h2><u>50 ft³</u></h2>

Step-by-step explanation:

We know the formula for a rectangular prism is length × width × height

We also know all the sides so we can rewrite the formula replacing variables.

The length is 8, the width is 2\frac{1}{2} and the height is 2\frac{1}{2}

8 × 2\frac{1}{2} × 2\frac{1}{2}

Multiply which ever way is easy for you. I am just multiplying from left to right.

8 × 2\frac{1}{2} = 20

20 × 2\frac{1}{2} = 50

Now we get 50. Before we put our answer as 50, there are two more steps.

First we need to add the measurement unit which is feet or ft

We also need to add ³ since it is volume

<u>50 ft³ is our final answer</u>

7 0
3 years ago
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