How do I factor polynomials by its gcf.

Akio found 18 cents in his pocket. He found 6 more coins in his pocket. Altogether he has 73 cents. What were the 6 coins he fou

Dafna1 [17]

Answer:

1 quarter, 1 dime, and 4 nickels

Step-by-step explanation:

First you subtract the 18 cents that were found in the pocket from the total amount of 73 cents to get the total amount of the 6 other coins:

73-18=55.

So the total amount of the 6 coins equals 55 cents.

The quarter = 25 cents

The dime = 10 cents

The 4 nickels = 5 + 5 + 5 + 5 = 20

1 quarter, 1 dime, and 4 nickels add up to the necessary total of 6 coins and when you add up the total cents of the quarter, dime, and nickels, 25 + 10 + 20 it comes to the sum of 55, which is how much the 6 coins are worth in total.

So therefore, the answer is 1 quarter, 1 dime, and 4 nickels.

8 0

3 years ago

Find the value of x then tell whether the side lengths form a Pythagorean triple 6 , 10 , x

masya89 [10]

Answer:

Explanation:

Use the Pythagorean theorem (

a

2

+

b

2

=

c

2

)

Lets label the right triangle such that:

a

=

12

b

=

16

c

=

x

Thus,

12

2

+

16

2

=

x

2

144

+

256

=

x

2

400

=

x

2

√

400

=

x

20

=

x

So our missing side,

c

is

20

We can now say that the sides of our triangle are

12

,

16

,

20

I've included a link that lists a couple of Pythagorean triples (a couple because they are infinitely many).

Step-by-step explanation:

Hope it helpful

3 0

2 years ago

Read 2 more answers

Rosita can wax her car in 2 hours or 120 minutes. When she works together with Helga, they can wax the car in 45 minutes. How lo

Mashcka [7]

<h2>Time taken by Helga to wax the car is 72 minutes</h2>

Step-by-step explanation:

Let w be the work of waxing.

Rosita can wax her car in 2 hours or 120 minutes.

Time taken by Rosita = 120 minutes

$\texttt{Rate of Rosita = }\frac{W}{120}$

Let time taken by Helga be t,

$\texttt{Rate of Helga = }\frac{W}{t}$

When she works together with Helga, they can wax the car in 45 minutes.

We have

$\frac{W}{\frac{W}{120}+\frac{W}{t}}=45\\\\120t=45(120+t)\\\\120t=5400+45t\\\\t=72minutes$

Time taken by Helga to wax the car is 72 minutes

6 0

3 years ago

Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question.

Alja [10]

The value that could replace variable x in the table is (15 - m)8

<h3 /><h3>How to the value of x in an expression ?</h3>

The students are given 3 minutes to complete each multiple choice question on a test and 8 minutes for each free response question.

From the table, the time to answer the whole multiple choice question is as follows:

total time = 3m

From the table, the total time taken to answer the free response question is as follows:

total time = (15 - m)8

learn more on variable here: brainly.com/question/12798965

#SPJ1

5 0

2 years ago

A force of $20$ newtons will stretch a spring $5$ centimeters. What is the total number of centimeters that a force of $60$ newt

Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

Hooke's Law applies here, which is a linear relationship. It would be easier to solve this using proportions with N of force on the top and the amount of stretch in cm on the bottom. Set up with our unknown, the number of cm:

$\frac{N}{cm}:\frac{20}{5}=\frac{60}{x}$ and cross multiply:

20x = 300 so

x = 15 cm

6 0

2 years ago