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MArishka [77]
3 years ago
6

A contracter purchased 7dozen pairs of work gloves for $103.32. He incorrectly calculated the unit price at $14.76 per pair for

his expense report correct his work and explain the error
Mathematics
1 answer:
Setler79 [48]3 years ago
3 0
A contractor purchased 7 dozen pairs of work gloves for 103.32 dollars. He incorrectly calculated the unit price at 14.76 per pair for his expense report. Let’s correct his work. Solutions. => 7 pairs for gloves for 103.32 dollars. Let’s find the cost of each pair of gloves. => 103.32 / 7 = 14.76 dollars. according to our solution, he has a correct answer. The only problem in his work is the Unit rate representation. => 14.76 dollars/pair
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One warehouse had 185 tons of coal, another one had 237 tons. The first warehouse delivered 15 tons of coal to its clients daily
sdas [7]

Given

 One warehouse had 185 tons of coal, another one had 237 tons

The first warehouse delivered 15 tons of coal to its clients daily, the second one delivered 18 tons of coal to its clients daily.

Find out in how many days will the second warehouse have 1.5 times more coal than the first one.

To proof

Let us assume that the number of days of delivered the coal = x

Take two cases

First case

As given in the question

One warehouse had  coal = 185 tons

The first warehouse delivered 15 tons of coal to its clients daily

(As first warehouse delivered 15 tons of coal to its clients daily than the total amount of coal decrease daily as days increase)

Than the equation becomes for first warehouse

= ( 185 - 15x)

( this equation represent the amount of coal left after x days)

Second case

second warehouse had  coal = 237 tons

the second one delivered 18 tons of coal to its clients daily.

(As first warehouse delivered 18 tons of coal to its clients daily than the total amount of coal decrease daily as days increase)

Than the equation becomes for the second warehouse

= ( 237 - 18x)

( this equation represent the amount of coal left after x days)

As given in the question

the second warehouse have 1.5 times more coal than the first one

Thus

( 237 -18x ) = 1.5× ( 185 - 15x)

237 - 18x = 277.5 - 22.5x

22.5x - 18x = 277.5 - 237

4.5x = 40.5

x = 9

Therefore  the second warehouse have 1.5 times more coal than the first one in 9 days.

Hence proved

7 0
3 years ago
Y = 3(x - 2)2 + 3<br> y = 6x – 12
Effectus [21]

Answer:

25

Hope this help

5 0
3 years ago
What is the square root of 5?
shutvik [7]
5 x 5 = 25

answer: 25.
7 0
3 years ago
Read 2 more answers
For each statement, write what would be assumed and what would be proven in a proof by contrapositive of the statement. Then wri
Anna007 [38]

Answer:

a)

Given Statement - If x and y are a pair of consecutive integers, then x and y have opposite parity.

Proof by Contrapositive:

Assumed statement: Suppose that integers x and y do not have opposite parity.

Proven Statement: x and y are not a pair of consecutive integers.

Proof -

x = 2u₁ , y = 2u₂

Then

(x, x+1) = (2u₁ , 2u₁ + 1) = (Even, odd)

If y = 2u₁ + 1

Not possible

⇒x and y are not a pair of consecutive integers.

Hence proved.

Proof by Contradiction:

Assumed statement: Suppose x and y are not a pair of consecutive integers.

Proven Statement: Suppose x and y do not have opposite parity.

Proof -

If x and y are not a pair of consecutive integers.

⇒ either x and y are odd or even

If x and y are odd

⇒x and y have same parity

Contradiction

If x and y are even

⇒x and y have same parity

Contradiction

(b)

Proof by Contrapositive:

Assumed statement: Let n be an integer such that n is not odd (i.e. n is an even integer)

Proven Statement: n² is not odd (i.e n² is even)

Proof -

Let n is even

⇒n = 2m

⇒n² = (2m)² = 4m²

⇒n² is even

Hence proved.

Proof by Contradiction:

Assumed statement: Let n be an integer such that n² be odd.

Proven Statement:  suppose that n is not odd (i.e n is even)

Proof -

Let n² is odd

⇒n² is even

⇒n² = 2m

⇒2 | n²

⇒2 | n

⇒n = 2x

⇒ n is even

Contradiction

8 0
3 years ago
Need help badly<br><br> #15 Find the area of each sector.
Ber [7]

The highlighted sector is exactly 3/4 of the circle area, because \frac{3\pi}{2} is 3/4 of 2\pi which is a complete rotation.

Since you are given the radius, you can compute the area as

A = \pi r^2 = 16\pi

So, 3/4 of this area would be 12\pi squared cm.

The remaining sector, of course, is 4\pi squared cm.

6 0
3 years ago
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