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3 years ago

Caleb and Jeremiah go to the movie theater and purchase refreshments for their

Mathematics

1 answer:

Mashutka [201]3 years ago

6 0

Answer:

price of each bags of popcorn = $9.75

price of each drinks = $5

Step-by-step explanation:

Let

price of each bags of popcorn = a

price of each drinks = b

Caleb total cost

7a + 2b = 78.25.......(i)

Jeremiah total cost

a + 10b = 59.75.......(ii)

7a + 2b = 78.25

a + 10b = 59.75

a = 59.75 - 10b

insert the value of a in equation (i)

7a + 2b = 78.25

7( 59.75 - 10b) + 2b = 78.25

418.25 - 70b + 2b = 78.25

418.25 - 68b = 78.25

418.25 - 78.25 = 68b

340 = 68b

b = 340/68

b = 5

Insert the value of b in equation (ii)

a + 10b = 59.75.......(ii)

a + 10 × 5 = 59.75

a = 59.75 - 50

a = 9.75

price of each bags of popcorn = $9.75

price of each drinks = $5

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Read 2 more answers

timur paid $4.50 to enter the fair. he then bought a pretzel for $1.50 and played a game $1. last he rode a roller coaster for $

Soloha48 [4]

X-(4.5+1.5+1+3)= 8
x-10=8
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He took $18 to the fair. You take his original amount and subtract the things he paid for/bought to get what he came home with. I hope it helps!

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2 years ago

a rectangular sheet is 62cm long and 42cm wide from each of its corners a square of side 6cm is cut out and an open box is made

Alla [95]

Answer:

The volume of rectangular box is 9,000 cubic centimeters

Step-by-step explanation:

Given as :

The length of the rectangular sheet = L = 62 cm

The width of the rectangular sheet = B = 42 cm

Let The volume of rectangular box = v cubic centimeters

From each corner of sheet a square of 6 cm is cut out and an open box made

So, The length of box = L' = (L - 6 - 6)

i.e L' = (62 - 6 - 6)

Or, L' = 50 cm

Or, Length of the box = 50 cm

And The width of the box = B' = (B - 6 - 6)

i.e B' = (42 - 6 - 6)

Or, B' = 30 cm

Or width of the box = 30 cm

And,

The height of the box = H = 6 cm

∴ volume of rectangular box = Length of box × Breadth of box × Height of box

i.e v = L' × B' × H

Or, v = 50 cm × 30 cm × 6 cm

Or, v = 9,000 cm³

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4 0

3 years ago

Continuation of the other six questions find the value of eggs and tangent

n200080 [17]

Answer:

Step-by-step explanation:

1) ?

I can't see what that one given angle is .. but it's that mystery angle subtracted from 180 give the angle BOA then you know that's an isosceles triangle again that the BOA is part of... so then just subtract BOA from 180 to find the two other angle of that triangle... they are the small so just divide your answer of 180-BOA /2 is the angle of each.. then since you know those to smaller angles subtract one from 90 to find the angle BAX

2) ( as we would read normally)

You're making this really tough on me.. I can just barely read the equations

I think it's 1+6x and 7x-3 . b/c they are the same length sides you can set those equal

1+6x = 7x -3

4+6x = 7x

4 = x

that worked out well :

for the tangent.. it's Tan(Ф)= Opp/ Adj

but I don't know which side they want to solve for.. I think you may have left off some of the instructions???? :/

ohh I think they really mean.. what's the length of the tangent lines .. that was confusing to me.. :/ just plug in 4 into x for either eq.

1+6(4) = 25

7(4)-3=25

tangent is 25

x-2 = 2x-10

x+8 = 2x

8 = x

again they made it work out easy :)

Then plug 8 into either equation to find the length of the tangent lines

8-2=10

tangent is 10

4) = 2) ??? they are the same question maybe you meant to put something else?

5 0

3 years ago