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3 years ago

A package of 6 pairs of insulated gloves costs $35.94. What is the unit price of the pairs of gloves?

Mathematics

2 answers:

KiRa [710]3 years ago

6 0

Answer:

6.57

Step-by-step explanation:

maks197457 [2]3 years ago

5 0

Answer:$5.99

Step-by-step explanation:

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11B. Long Beach Towing Company charges $40 plus $5 per mile to

gavmur [86]

Answer:

The charges will be the same after 10 miles.

Step-by-step explanation:

Long Beach Towing Company:

Charges $40 plus $5 per mile. So after x miles, the charge will be of:

$L(x) = 40 + 5x$

Five-Star Towing Company:

Chargers of $70 plus $2 per mile. So after x miles, the charge will be of:

$F(x) = 70 + 2x$

After how many miles the charges for the two companied will be the same?

This is x for which:

$L(x) = F(x)$

$40 + 5x = 70 + 2x$

$5x - 2x = 70 - 40$

$3x = 30$

$x = \frac{30}{3}$

$x = 10$

The charges will be the same after 10 miles.

5 0

3 years ago

Use the ruler to find 1 / 1/10 and 4 1/10

Korvikt [17]

Answer:

the first answer is 10 and the second is 40

Step-by-step explanation:

there actually asking how many meters would make 1 centimeter

On the ruler 1 whole centimeter is 10 meter. (The longer line behind the number is the 10th meter )

Dividing fractions

1 ÷ 1/10

Steps

Change the whole number which is 1 into a fraction.

1/1 ÷1/10

Flip the second fraction in the equation.

1/1 ÷ 10/1

Then change the division sign to a multiplication sign. So were multiply instead.

1/1 × 10/1

Multiply the fractions and your answer should be 10/1 .

This fraction is also changed to a whole number.

10/1 = 10

6 0

3 years ago

2x^2+5x+3/x^2-3x-4 divided by 4x^2+2x-6/x^2-8x+16

Masja [62]

Answer: $\frac{x-4}{2x-2}$

Step-by-step explanation:

$\frac{2x^2+5x+3}{x^2-3x-4}$ divided by $\frac{4x^2+2x-6}{x^2-8x+16}$ is the same thing as multiplying $\frac{2x^2+5x+3}{x^2-3x-4}$ by $\frac{x^2-8x+16}{4x^2+2x-6}$ .

The equation we get is:

$\frac{2x^2+5x+3}{x^2-3x-4}*\frac{x^2-8x+16}{4x^2+2x-6}$

With this equation, we can factor each equation:

$\frac{(x+1)(2x+3)}{(x+1)(x-4)} *\frac{(x-4)(x-4)}{2(x-1)(2x+3)}$

We can cancel out like terms since they would be dividing each other:

$\frac{x-4}{2x-2}$

8 0

3 years ago

Cos (90-theta) • cosec90-theta) =tano. How?

denis-greek [22]

Answer:

______________________________________________________

TRIGONOMETRY IDENTITIES TO BE USED IN THE QUESTION :-

For any right angled triangle with one angle α ,

$\cos (90 - \alpha ) = \sin \alpha$ or $\sin(90 - \alpha ) = \cos\alpha$

$cosec \: (90 - \alpha ) = \sec\alpha$ or $\sec(90 - \alpha ) = cosec\:\alpha$

SOME GENERAL TRIGNOMETRIC FORMULAS :-

$\sin \alpha = \frac{1}{cosec \: \alpha }$ or $cosec \: \alpha = \frac{1}{\sin \alpha }$

$\cos \alpha = \frac{1}{\sec \alpha }$ or $\sec \alpha = \frac{1}{\cos \alpha }$

______________________________________________________

Now , lets come to the question.

In a right angled triangle , let one angle be α (in place of theta) .

So , lets solve L.H.S.

$\cos (90 - \alpha ) \times cosec(90 - \alpha )$

$=> sin\alpha \times \sec\alpha$

$=> \sin\alpha \times \frac{1}{\cos\alpha }$

$=> \frac{\sin\alpha }{\cos\alpha }$

$=> \tan\alpha$ = R.H.S.

∴ L.H.S. = R.H.S. (Proved)

3 0

3 years ago

at the zoom,the ratio of monkeys to gorrillas is 5:2 if there were 20 monkeys how many gorrilas would there be?

Umnica [9.8K]

8 gorrilas

Explanation:

The ratio of monkeys to gorrila = 5:2

This means there are 5 monkeys for every 2 gorrilas

when there are 20 monkeys,

let the number of gorrilas = x

5 monkeys = 2 gorrilas

20 monkeys = x

cross multiply:

5(x) = 20(2)

5x = 40

divide both sides by 5:

5x/5 = 40/5

x = 8

Hence, if there were 20 monkeys, we would have 8 gorrilas.

5 0

1 year ago