All categories

3 years ago

The cost of 6 sandwiches and 4 drink is $53. The cost of 4 sandwiches and 6 drinks is $47. How much does one sandwich cost?

Mathematics

1 answer:

Dmitry [639]3 years ago

8 0

Answer:

sandwich = 6.50

Step-by-step explanation:

Let s = sandwich price

d = drink price

6s + 4d = 53

4s + 6d = 47

Multiply the first equation by 3

18s + 12d = 159

Multiply the second equation by -2

-4s - 12d = -94

Add these equations together

18s + 12d = 159

-8s - 12d = -94

--------------------------

10s = 65

Divide by 10

s = 65/10

s =6.5

You might be interested in

A card is selected at random from a standard deck of 52 playing cards. What is the probability that it is NOT a face card?

rusak2 [61]

Answer:

4/13

Step-by-step explanation:

5 0

3 years ago

21) Jim and his uncle went to the circus. Together they spent

SCORPION-xisa [38]

3/30 or 1/10 or $3
There all the same answer just different ways
The first one is unsimplified The second one is simplified The last one is in money form

3 0

2 years ago

Given: ⅓ (18x + 27) = 81 Prove: x = 12

sasho [114]

Answer:

Firstly, rewrite the equation:

⅓ (18 + 27) = 81

Substitute x for the given number of it's supposed equivalent.

In this case x = 12.

⅓ (18(12) + 27) = 81

Solve using PEMDAS and simplify what is in the parenthesis first. Then, multiply.

(18 x 12) + 27 = 243

Now, solving using PEMDAS, multiply the total of what you got that was originally in the parenthesis by ⅓ .

⅓ (243) = 81

When you multiple these number they are equivalent to 81.

81 = 81

Since the equation given, when substituted x for 12, is equivalent to 81, this proves that substituting x for 12 makes this equation true.

4 0

3 years ago

An isosceles triangle ABC has legs of length 24 and a vertex angle that measures 36º . Determine the length of its base, BC , to

iris [78.8K]

Answer: $BC=14.8$

Step-by-step explanation:

By definition, an Isosceles triangle has two equal sides and its opposite angles are congruent.

Observe the figure attached, where the isosceles triangle is divided into two equal right triangles.

So, in this case you need to use the following Trigonometric Identity:

$sin\alpha =\frac{opposite}{hypotenuse}$

In this case, you can identify that:

$\alpha =\angle BAD=\angle CAD=18\°\\\\opposite=BD=CD=x\\\\hypotenuse=AB=AC=24$

Substituting values, and solving for "x", you get:

$sin(18\°)=\frac{x}{24}\\\\24*sin(18\°)=x\\\\x=7.416$

Therefore, the length of BC rounded to nearest tenth, is:

$BC=2(7.416)=14.8$

6 0

3 years ago

A guy wire is a cable used to restrain objects from moving. They are used to support towers or poles. A guy wire is attached to

Tanya [424]

Answer:

Step-by-step explanation:

8 0

3 years ago