MATHEMATICS HIGH SCHOOL

A group of 18 people ordered soup and sandwiches for lunch. Each person in the group had either one soup or one sandwich. The sandwiches 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. 7
B. 8
C. 9
D. 10

Answers

Answer 1
Answer: Let a be the number of soups ordered and b be the number of sandwiches ordered. We know that, a + b = 18, so a = 18 - b. Now we form an equation for the total cost, which is: 4.5a + 7.75b = 113.5. Now, we substitute the value of a into the cost equation to form a single equation in terms of b, number of sandwiches, only. 4.5(18 - b) + 7.75b = 113.5. Solving for b, we get b = 10. Therefore, the answer is D.

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Answer:

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hope this helps!!:)

Step-by-step explanation:

A landscaper is designing a flower garden in the shape of a trapezoid. She wants the length of the shorter base to be 3 yards greater

Answers

A landscaper is designing a flower garden in the shape of a trapezoid. She wants the length of the shorter base to be 3 yards greater than the height, and the length of the longer base to be 5 yards greater than the height. For what height will the garden have an area of 360 square yards? Round to the nearest tenth of a yard.

17.1 is your answer

Solve the given equation. State the number and type of roots.
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Answers

I hope this helps you

If x2 = 10, what is the value of x?±square root of 10
±square root of 20
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Answers

Answer:

x = ±√10

Step-by-step explanation:

Don't you mean x^2 = 10 or x² = 10?  

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N ∈ lNWe set A= n(n²+11)
Show that A is divisible by 3
( n is natural number )
please try to help me in this i need it tomorrow plz...

Answers

@Konrad509's answer was fantastic. 

What you first need to know is this. 3 consecutive natural numbers multiplied by each other, for instance: (1*2*3) or (2*3*4) or (3*4*5) or (4*5*(2*3)) can be described using the abstract expression:

(n-1)n(n+1)

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

Now:

A=n(n²+11),

and:

n(n²+11)

=n(n²-1+12)

=n³-n+12n

=n(n²-1)+12n

=n(n+1)(n-1)+12n

=(n-1)n(n+1)+(4*3)n

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

So:

A=(n-1)n(n+1)+(4*3)n

Therefore, A is divisible by 3.
n(n^2+11)=\nn(n^2-1+12)=\nn(n^2-1)+12n=\n(n-1)n(n+1)+12n

(n-1)n(n+1) is the product of 3 consecutive natural numbers, so it has be to divisible by 3.

12n is also divisible by 3 because 12 is divisible by 3.

If both elements of the sum are divisible by 3 so the sum itself is divisible by 3 as well.

If Michelle walked 5 meters, how many inches did she walk?A. .127 inches
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Answers

 To convert from meters to feet ( m to f ) is a simple conversion. You can use 1 m = 3.28 ft or 1 m = 39.37 inches and just multiply. But this converter is designed to convert an entry in meters into both feet and inches. So the answer is D.: 196.85 inches.

1 mt= 39.37 inches, 5 meter= 5*39.37=196.85 inches. If Michelle walked 5 meters, she walked 196.85 inches.
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