MATHEMATICS MIDDLE SCHOOL

20 points please help!At a high school football game Jamie buys 6 hot dogs and 4 soft drinks for $13. Amy buys 3 hot dogs and 4 soft drinks for $8.50. What is the price of a hot dog?












A)
$0.75



B)
$1.00



C)
$1.25



D)
$1.50

Answers

Answer 1
Answer: Lets label hot dogs as 'h' and soft drinks as 's'

6h + 4s = 13 (Equation 1)
3h + 4s = 8.50 (Equation 2)

We can solve by process of elimination.

Subtract equation 1 from equation 2.

We get:

3h = 4.5
h = 1.5

So that means that the hot dog costs $1.50 which is answer choice D.
Answer 2
Answer: Lets label hot dogs as 'h' and soft drinks as 'd'

6h + 4d = 13
3h + 4d = 8.50

We can solve by process of elimination.

Subtract the first equation from the second one.

We get:

3h = 4.5

Solve for h

h = 1.5

That means that the hot dog costs $1.50 which is answer choice D.

Hope that helps :)

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Answers

I believe your answer is C). because 5% of 60,000 is 3,000, then 3,000 x 15 = 45,000.

Solve the equation using inverse operations. Show your work. 5+ x^2= 2x^2 +13

Answers

In this equation firstly you have got two like terms those are 5 and 13 both have got the positive sign with them that simply means to add them up then you've got other like terms those are x^2 and 2x^2 add them up again that would be 3x^4
so the ans is 18+3x^4

Can u plz tell me the percent for each degrees?? Thnxxx.

Answers

25% for 90deg
15% for 54deg
10% for 36deg

All I did was put the degree number over 360 and moved the decimal place to the right twice :)
25%,15%,10% You just need to do this : (90/360)*100

One positive number is 5 less than twice a second number, and their product is 117. Find the two numbers.

Answers

x,y - the numbers

one positive number is 5 less than twice a second number

(1)    x - 5 = 2y

their product is 117

(2)    xy = 117

(1)     x - 5 = 2y     add 5 to both sides

x = 2y + 5   substitute it to (2)

(2y + 5)y = 117     use distributive property

(2y)(y) + (5)(y) = 117

2y² + 5y = 117      subtract 117 from both sides

2y² + 5y - 117 = 0

2y² + 18y - 13y - 117 = 0

2y(y + 9) - 13(y + 9) = 0

(y + 9)(2y - 13) = 0 ↔ y + 9 = 0 ∨ 2y - 13 = 0

y + 9 = 0    subtract 9 from both sides

y = -9

2y - 13 = 0     add 13 to both sides

2y = 13     divide both sides by 2

y = 6.5

substitute the values of y to (1)

x = 2(-9) + 5 = -18 + 5 = -13 < 0

x = 2(6.5) + 5 = 13 + 5 = 18

Answer: x = 18 and y = 6.5

Which expression is eqivalent to 6× + 10×

Answers

16x

Both of these expressions are similar expressions, therefore you can simply add the number in front of the 'x'

6 + 10 = 16

Therefore, 6x + 10x = 16x
since they're like terms...simply just add them;
6x + 10x = 16x
So your final answer is: 16x 
Hoope that helps :D

If each of the 8 sides of an octagon is 25 centimeters long, then the perimeter of the octagon is how many meters?

Answers

total number of sides of a octagon =8
measure of 1 side= 25 cm
perimeter=8 x 25=200 cm
200 because 25 x 8 = 200 because perimeter is the outside it =)
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