A wooden board 100 centimeters long is cut into two pieces. One piece is 16 centimeters longer than the other. What are the lengths of the two pieces?

Answers

Answer 1
Answer:

x = the length of one piece

y = the length of the other piece


the total length is 100 cm this means 


x + y = 100


one piece is 16 inches longer than the other


first we need to convert inches to cm: 


1 in = 2.54 cm

16 in = 2.54*16 = 40.64


now we can write


x = y + 40.64


by solving the system of equations


x + y = 100

x = y + 40.64


we find


x = 70.32 cm


y = 29.68 cm


the lengths of the two pieces are 70.32 cm and 29.68 cm.


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Find an equation of a line that pass through (4,3) and parallel to y=-4x+1

Answers

Answer:

y = -4x + 19

Step-by-step explanation:

The line parallel to y = -4x + 1 would have the same slope of -4. The coefficient of x will be -4. We can put this into the equation y = -4x + a where a is the y-intercept and a ≠ 1. Now solve for a.

y = -4x + a

plug in 4 for x and 3 for y

3 = -4(4) + a

simplify

3 = -16 + a

+16 both sides

19 = a

a = 19

y = -4x + 19

nate runs 8 miles each week write an expression for the number of miles he runs in ‘n’ weeks find the number of miles neutrons in five weeks

Answers

Answer:

0ne week= 8 miles

W=5n

1.The population of the world is approximately 6200 million people. It is increasing by approximately 93 million people each year.Use this information to calculate the percentage increase in the population over a year.2. Mike says, ‘An increase of 93 million people each year is more than 170 people each minute’.Show that he is correct.

Answers

The fraction can simplify down to (93)/(6200) convert it to a fraction and the yearly increase is 1.5%

2. Well on average there are 365 days in a year. Dividing 93 million by 365 will get your increase per day. 
There are 24 hours in a day, so that figure is further divided by 24.
There are also 60 minutes in an hour therefore furthermore divided by 60.
= 176 therefore true

What is the area of the polygon below A. 140 square units
B. 170 square units
C. 115 square units
D. 225 square units

Answers

The area of the polygon is,

⇒ 140 units²

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

A polygon is shown in figure.

Now, We get;

The polygon is made by two rectangles.

Hence, The area of the polygon is,

⇒ 17 x 5 + 11 x 5

⇒ 85 + 55

⇒ 140 units²

Thus, The area of the polygon is,

⇒ 140 units²

Learn more about the rectangle visit:

brainly.com/question/2607596

#SPJ5

Look at the picture.
Area of a larger rectangle
A_1=10\cdot17=170\ u^2

Area of a smaller rectangle
A_2=5\cdot6=30\ u^2

Area of the polygon
A=A_1-A_2\n\nA=170-30=140\ u^2
Answer: A. 140 square units

The population od  a small country  is 5,740,000. Express this number using scientific notation. Say steps to.

Answers

5,740,000( you have to make the number less than 10

5.740000 ( you put a decimal to make it less )

5.74e6 (you count how many times you skipped over to get at the decimal point , and that's your awnser .

How do you write a decimal as a percent

Answers


Take the decimal, and move the decimal point two places that way  ===> .

if u have .456 u move the decimal back two spaces so it becomes 45.6%