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sineoko [7]
3 years ago
10

At a clothing store, Ted bought 4 shirts and 2 ties for a total price of $95. At the same store, Steph bought 3 shirts and 3 tie

s for a total price of $84. How much would it cost to buy 1 shirt and 2 ties?

Mathematics
1 answer:
sashaice [31]3 years ago
5 0

Answer:

The cost to buy 1 shirt and 2 ties is equal to $36.5

Step-by-step explanation:

Let

x-----> the cost of one shirt

y---> the cost of one tie

we know that

4x+2y=95 -----> equation A

3x+3y=84 -----> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graphs

using a graphing tool

The solution is the point (19.5,8.5)

see the attached figure

therefore

The cost of one shirt is $19.5

The cost of one tie is $8.5

The cost to buy 1 shirt and 2 ties is equal to

x+2y=19.5+2(8.5)=$36.5

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A paper company needs to ship paper to a large printing business. The a paper will be
eimsori [14]

Given :

A paper company needs to ship paper to a large printing business.

The paper will be shipped in small boxes and large boxes.

Each small box of paper weighs 50 pounds and each large box of paper weighs 80 pounds. A total of 19 boxes of paper were shipped weighing 1280 pounds altogether.

Find :

Determine the number of small boxes shipped and the number of large boxes shipped.

Calculations :

Let "S" be small boxes and "L" be large boxes.

Small box + Large box = 19

50S + 80L = 1280

→ 5S + 8L = 128

→ 5 (19 - L) + 8L = 128

→ 3L = 128 - 95

→ L = 33/3

→ L = 11ㅤㅤ

Finding the small box:

→ S = 19 - L

→ S = 19 - 11

→ S = 8

Therefore ,

Large boxes = 11.

Small boxes = 8.

orrrrrr

The number of small boxes is 8 and that of the large boxes is 11.

Step-by-step explanation:

Each small box of paper weighs 50 pounds and each large box of paper

weighs 80 pounds. A total of 19 boxes of paper were shipped weighing 1280 pounds altogether.

Let there are x small boxes and y large boxes.

Then,

x + y = 19 ............ (1) and

50x + 80y = 1280

⇒ 5x + 8y = 128 ............... (2)

Now, solving equations (1) and (2) we get,

5( 19 - y) + 8y = 128

⇒ 3y = 128 - 95 = 33

⇒ y = 11

Now, from equation (1) we get, x = 19 - y = 19 - 11 = 8

Therefore, the number of small boxes is 8 and that of the large boxes is 11. (Answer)

8 0
2 years ago
Write the fraction as a decimal. Round your answer to the nearest hundredth. 18 --- 97
zubka84 [21]
18/97 to the nearest hundreth is 0.18
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Answer:

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Step-by-step explanation:

Given

The attached image

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Is AB a tangent to the circle

From the attached circle, we can see that AP is the radius of the circle P.

And by definition, a tangent touches the circle at only one point.

Since AB touches the circle at only point A, then AB is a tangent.

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alukav5142 [94]

Answer:

x \leq 15

Step-by-step explanation:

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A group contains n men and n women. how many ways are there to arrange these people in a row if the men and women alternate?
Kobotan [32]

A group contains n men and n women. 2n! number of ways are there to arrange these people in a row if the men and women alternate. Arrangement is known as permutation.

A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order. The act or procedure of altering the linear order of an ordered set is referred to as a "permutation."

When the order of the arrangements counts, a permutation is a mathematical technique that establishes the total number of alternative arrangements in a collection. Choosing only a few items from a collection of options in a specific sequence is a common task in arithmetic problems.

Learn more about permutation here

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