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Viefleur [7K]
3 years ago
11

At an airport restaurant, 2 sodas and 4 hamburgers cost $12.00. An order of 4 sodas and 2 hamburgers costs $9.00. How much does

one hamburger cost?
Mathematics
2 answers:
Charra [1.4K]3 years ago
4 0
Let the cost of soda be s.
Let the cost of hamburgers = h

\begin{cases} &2s + 4h = 12 ----- (1) \\&4s + 2h = 9 ----- (2)\end{cases}

Multiply Equation (1) by 2 :
\begin{cases} &4s + 8h = 24 ----- (1)\\&4s + 2h = 9 ----- (2)\end{cases}

Equation (1) - (2):
\begin{aligned} &6h = 15 \\&h = 2.5 \end{aligned}

Answer: 1 hamburger costs $2.50
zhenek [66]3 years ago
3 0
Let's say the sodas are each $1. If you have purchased 4 sodas it will cost $4. You still have $5 left on your bill. If you have 2 hamburgers left on your bill the amount of each hamburger is $2.50.
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There are 9 teachers and 5 aides at the Hills Elementary School. What is the ratio of teachers to all adults?​
nexus9112 [7]

Answer:

C. \frac{9}{14} , 9:14 , or 9 to 14

Step-by-step explanation:

With there being 9 teachers and 5 aides, the total number of adults is 14, leaving a fraction of \frac{9}{14} , 9 teachers and 14 adults. Checking to simplify, there are no shared values by 9 and 14, so it is in it's simplest form.

7 0
3 years ago
Find the missing side of each triangle. i need help!!!
Nezavi [6.7K]

Answer:

√161 yd

Step-by-step explanation:

Hi there!

We're given a right triangle (notice the right angle), the measure of one of the legs (one of the sides that make up the right angle) as 8 yd, and the hypotenuse (the side opposite to the right angle) as 15 yd.

We need to find x, which is the other leg in the triangle

If we are given 2 sides and need to find a third, we can use Pythagorean Theorem, which states that a²+b²=c² if a and b are legs and c is the hypotenuse

In this case, a=8, b=x, and c=15

So let's substitute those values into the formula

(8)²+x²=(15)²

raise everything to the second power

64+x²=225

subtract 64 from both sides

x²=161

take the square root of both x and 161

x=√161, x=-√161

-√161 cannot work in this case, as distance cannot be negative.

The question asks for the answer to be in simplified radical form, but √161 cannot be simplified down further

so the answer is <u>√161 yd</u>

Hope this helps! :)

3 0
3 years ago
Please I need a quick reply​
Rom4ik [11]

Answer:

B

Step-by-step explanation:

It sounds most likely to the right answer

¯\_(ツ)_/¯

4 0
2 years ago
Read 2 more answers
What is 40 1/3 divided by 50
solong [7]
121/150 or 0.0806. The 6 is repeating itself.
8 0
3 years ago
Read 2 more answers
Please include work
OLga [1]

Answer:

9.     6k + 5 and 2k - 1.

10.    5√2 .

Step-by-step explanation:

9.    Area = 12k^2 + 4k - 5

Factoring:

12k^2 - 6k + 10k - 5

= 6k(2k - 1) + 5(2k - 1)

= (6k + 5)(2k - 1)

So the required lengths are 6k + 5 and 2k - 1.

10.  The ratio of a leg to the hypotenuse is  1: √2 so if the hypotenus = 10 the length of a leg is 10 / √2  

= 10 √2  / 2

= 5√2 .

7 0
3 years ago
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