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Ludmilka [50]
3 years ago
15

A group of 18 people ordered soup and sandwiches for lunch. Each person in the group had either one soup or one sandwich. The sa

ndwiches cost $7.75 each and the soups cost $4.50 each. If the total cost of all 18 lunches was $113.50, how many sandwiches were ordered?
a. 7B. 8C. 9D. 10
Mathematics
2 answers:
Black_prince [1.1K]3 years ago
6 0
X - the number of sandwiches
y - the number of soups

x+y=18 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \  |\times (-4.5) \\
7.75x+4.5y=113.5 \\ \\
-4.5x-4.5y=-81 \\
\underline{7.75x+4.5y=113.5} \\
7.75x-4.5x=113.5-81 \\
3.25x=32.5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \  |\div 3.25 \\
x=10

10 sandwiches were ordered. The answer is D.
Julli [10]3 years ago
3 0

Answer:

D

Step-by-step explanation:

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Find the 76th term of the arithmetic sequence 17, 19, 21, ...
Dominik [7]

Answer: 167

Step-by-step explanation: To find the 76th term of this arithmetic sequence, we will be using our explicit formula which is shown below.

^{a}n = ^{a}1 (n - 1)d

Since we want to determine the 76th term, we are going

to substitute 76 in for <em>n</em> in our explicit formula.

Then, ^{a}1 will be our first term in our sequence which is 17.

Lastly, <em>d</em> is our common difference or the difference between each of the terms in our arithmetic sequence which is 2.

So we have ^{a} 76 = 17 + (76 - 1)(2).

Now we have all the information we need. Just simplify from here.

Make sure to apply order of operations because this is where many

students make mistakes. Inside the parentheses first!

(76 - 1) is going to be 75.

So we have ^{a} 76 = 17 + (75)(2).

Then, we have to make sure we multiply before we add.

So (75)(2) is going to give us 150.

So we have ^{a} 76 = 17 + 150.

Now just add to find that ^{a} 76 = 167.

So the 76th term is 167.

5 0
3 years ago
Find the equation of the line that is parallel to the line y=-3/2 x+4 and passes through the point (4,0)
guajiro [1.7K]
The answer is y=(-3/2)x+6

3 0
3 years ago
Please help!
Paul [167]

Answer:

We can check this two ways: distributing the -0.5, and plugging in a number for x.

First, we can check this by distributing the -0.5.  Our equation becomes:

-1.5x -2.5 = -1.5x + 2.5

Clearly, this is not true.  We can show this one more time by plugging in a number for x.  I will use 2.

Now, we evaluate both sides and see if they are equal.

-3 - 2.5 = -3 + 2.5

-5.5 = 0.5

Clearly, this is not true.  These expressions are not equivalent.

Step-by-step explanation:

7 0
3 years ago
I don’t understand this if you could help I would appreciate it
Semenov [28]

Answer:

i cannot see the picture

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
3. (2, 4), (-2, 2), (2, ο)<br> Is this set of numbers a function or not a function?
WINSTONCH [101]

Answer:

not a function

Step-by-step explanation:

This is not a function

The input 2 goes to two different outputs

2 goes to the output of 4 and the output of 0

This makes it a relation and not a function

6 0
3 years ago
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