Algebraic Expression: 5x + 3y ÷ 2 = z
Word Phrase: 5 times x plus 3 times y divided by 2 equals z
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Solution (part 1-original): a=8 cm^2, b=3 cm^2, c=15 cm^2
Step by step solution:
The way you find area of a parallelogram is base times height so in A it would be 2x4 so 8 cm^2. You need to add the unit and have it squared to show that it’s representing a 2d space instead of a length
Solution (part 2-enlarged): a=32 cm^2, b=16 cm^2, c=60cm^2
Step by step solution (part 2):
It’s basically the same as before except that you multiply the side lengths by 2 BEFORE multiplying the height and base. So a would be (2x4)x(2x2) or 8x4=32.
Answer:
$4
Step-by-step explanation:
Given that
total cost of 8 identical pens and 2 identical files is $32
And, the The total cost of 3 such files would be the same as the total cost of 4 such pens
We need to find out the cost of each file
So let us assume the following things
Pens be x
File be y
Now
8x + 2y = $32 ....(1)
3y = 4x.........(2)
y = 4x÷ 3
Now put the value of y in equation 1
8x + 1.33x = 32
x = $3.55
x = $4
Answer:
20kg of rice in each bag
Step-by-step explanation:
we have 60kg of rice and 3 bags. we know that we need to have an eqal amount of rice in each bag so we can divide the 60kgs of rice by 3.
60÷3=20
Checking our Answer:
we can check our work by doing the opposite of division which is multiplication. to check our work we'd have to multiply the dividend (in our case 3) and our quotient (in our case 20) to see if we get the larger dividend (in our case 60) as our answer.
3×20=60
Answer:
gift 1:
424 cm^2
570 cm^3
gift 2:
1420.5 cm^2
3622.5 cm^3
Step-by-step explanation:
We have to calculate the surface area of these gifts in order to know the amount of wrapping paper.
The formula for the surface area is:
A = 2*ab + 2*ac + 2*bc
Gift 1:
A = 2*6*10 + 2*6*9.5 + 2*10*9.5
A = 424 cm^2
That means that gift 1 needs 424 cm^2 of wrapping paper
Gift 2:
A = 2*14*17.25 + 2*14*15 + 2*17.25*15
A = 1420.5 cm^2
That means that gift 2 needs 1420.5 cm^2 of wrapping paper
Now, to calculate the cubic centimeters of packaging peanuts, we calculate the volume, the volume has as formula:
V = a*b*c
Gift 1:
V = 6*10*9.5
V = 570 cm^3
This means that gift 1 needs 570 cm^3 of packaging peanuts
Gift 2:
V = 14*17.25*15
V = 3622.5 cm^3
That means that gift 2 needs 3622.5 cm^3 of packaging peanuts