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Daniel [21]
3 years ago
10

Solve a system of equations using substitution: word problems

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
4 0
Restaurant 1 : y = 7k + 39
restaurant 2 : y = 2k + 44

7k + 39 = 2k + 44
7k - 2k = 44 - 39
5k = 5
k = 5/5
k = 1

y = 2k + 44
y = 2(1) + 44
y = 2 + 44
y = 46

Dinner would cost $ 46 at either restaurant if Lina's lobster weighed 1 kilogram.
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A sphere and a right cylinder have the same radius and volume. The cylinder has a height of 6 centimeters. What is the radius?
zysi [14]
You are going to solve this in such a quick, slick way
that you will blink and not believe it.  Fasten your seat belt.

Here are the tools you'll need:

--  Volume of a cylinder  =  (pi) (radius)² (height)

--  Volume of a sphere  =  (4/3) (pi) (radius)³

Now ... the question says that your cylinder and your sphere
have the same volume.  Fine !  So you can immediately write
an equation saying that their volumes are equal.

                               (pi) (radius)² (height)  =  (4/3) (pi) (radius)³

Divide each side by pi:    (radius)² (height)  =  (4/3)       (radius)³

Divide each side by (radius)²        (height)  =  (4/3)        (radius)

Fill in the given height:                  (6 cm)    =  (4/3)      (radius)

Multiply each side by  3/4 :    (6 cm) x (3/4)  =             radius

I'm pretty sure that you can take over now and find the radius.
4 0
3 years ago
Please help and don’t mind the one I clicked i don’t know if it’s right
ololo11 [35]

Answer:

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Step-by-step explanation:

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PLEASE ANSWER ASAP. How are direct democracy and representative democracy similar?
HACTEHA [7]
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5 0
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After 56 cans of soup were sold, a clerk moved the remaining cans to a display case. The display case had shelves that could eac
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6 0
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Read 2 more answers
Which expression represents the area of a square with sides of length 3xy??
monitta

Answer:

9x^2y^2

Step-by-step explanation:

Ok so to find the area of a square we have to square the side length. So 3xy*3xy = 9x^2y^2 because 3*3=9, x*x=x^2, and y*y=y^2.

4 0
2 years ago
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