A number that is a factor of two or more numbers is a________________

Every day 10% of the liquid present in the morning in Kyle's open container will evaporate. At the end of three days, what perce

lozanna [386]

At the end of three days, $72.9$ % of the original amount of liquid remains in Kyle's container .

Step-by-step explanation:

Here we have , Every day 10% of the liquid present in the morning in Kyle's open container will evaporate. At the end of three days, We need to find what percent of the original amount of liquid remains in Kyle's container . Let's find out:

Let's suppose initially we have 100% of liquid present so ,

At day 1:

10% of the liquid present(100%) in the morning in Kyle's open container will evaporate , So left is :

⇒ $100- \frac{100(10)}{100}$

⇒ $100-10$

⇒ $90$ %

At day 2:

10% of the liquid present(90%) in the morning in Kyle's open container will evaporate , So left is :

⇒ $90- \frac{90(10)}{100}$

⇒ $90-9$

⇒ $81$ %

At day 3:

10% of the liquid present(81%) in the morning in Kyle's open container will evaporate , So left is :

⇒ $81- \frac{81(10)}{100}$

⇒ $81-8.1$

⇒ $72.9$ %

Therefore , At the end of three days, $72.9$ % of the original amount of liquid remains in Kyle's container .

8 0

3 years ago

Fourteen percent of the towns population is over the age of 65. If there are 320 residents over the age of 65, approximately wha

Alex777 [14]

320 times 0.14 = 44.8

So 45 people are over the age of 65

8 0

3 years ago

A circle has the circumference of 3.75 in. What is the diameter of the circle? (Use 3.14 for p. Round to the nearest tenth.) a.

HACTEHA [7]

Answer:

Step-by-step explanation:

The formula of a circumference:

$C=d\pi$

d - diameter

We have C = 3.75 in.

Substitute:

$d\pi=3.75\qquad\text{use}\ \pi\approx3.14\\\\3.14d=3.75\qquad\text{divide both sides by 3.14}\\\\d=\dfrac{3.75}{3.14}\\\\d=\dfrac{375}{314}\\\\d\approx1.2\ in$

7 0

3 years ago

The equation cos (35 degree)= a/25 can be used to find the length of Line segment B C. Triangle A B C is shown. Angle A C B is a

labwork [276]

Answer:

20.5 Inches

Step-by-step explanation:

I just took the review so this is a verified answer.

6 0

3 years ago

Read 2 more answers

Solve, then write, each equation in slope intercept form.

djyliett [7]

Answer:

1) (3,5)

2) (4,-7)

3) (6,4)

4) (-4,-3)

Step-by-step explanation:

1)

Subtract y from both sides of the equation.

x = 8 − y

x − y = −2

Replace all occurrences of x in x − y = −2 with 8 − y.

x = 8 − y

(8 − y) − y = −2

Subtract y from −y.

x = 8 − y

8 − 2y = −2

Solve for y in the second equation.

x = 8 − y

y = 5

Replace all occurrences of y in x = 8 − y with 5.

x = 8 −(5)

y = 5

Simplify 8 −(5).

x = 3

y = 5

Slope = (3,5)

2)

Multiply each term by 2 and simplify.

2x+y=12

y+6=−x−4

Move all terms containing variables to the left side of the equation.

2x+y=1x+2

y+6=−4

Move all terms not containing a variable to the right side of the equation.

2x+y=1x+2

y=−10

Multiply each equation by the value that makes the coefficients of x opposite.

2x+y=1(−2)⋅

(x+2y)=(−2)(−10)

Simplify.

2x+y=1−2x−4

y=20

Add the two equations together to eliminate x from the system.

2x+y=1+−2x−4

y=20−3

y=21

Divide each term by −3 and simplify.

y = −7

Substitute the value found for y into one of the original equations, then solve for x.

x = 4

slope (4,-7)

3)

Subtract y from both sides of the equation.

2x−y=8x−y=2

Multiply each equation by the value that makes the coefficients of y opposite

2x−y=8(−1)⋅

(x−y)=(−1)(2)

Simplify. 2x−y=8

−x+y=−2

Add the two equations together to eliminate y from the system.

2x−y=8 + −x+y=−2x=6

Substitute the value found for x into one of the original equations, then solve for y.

y=4

slope (6,4)

4)

Simplify 2(x+1).

y−3=2x+2

y=−3(x+5)

Simplify −3(x+5)

y−3=2x+2

y=−3x−15

Move all terms containing variables to the left side of the equation.

−2x+y−3=2

y=−3x−15

Add 3x to both sides of the equation.

−2x+y−3=2

y+3x=−15

Move all terms not containing a variable to the right side of the equation.

−2x+y=5

y+3x=−15

Reorder the polynomial.

−2x+y=5

3x + y=−15

Multiply each equation by the value that makes the coefficients of y opposite.

−2x+y=5(−1)⋅

(3x+y)=(−1)(−15)

Simplify.

−2x+y=5

−3x−y=15

Add the two equations together to eliminate y from the system.

−2x+y=5 + −3x−y=15−5x=20

Divide each term by −5 and simplify.

x=−4

Substitute the value found for x into one of the original equations, then solve for y.

y=−3

slope (-4,-3)

4 0

3 years ago

A number that is a factor of two or more numbers is a_________________.