All categories

2 years ago

Just over 3 quarters of Canadians live within a short distance of the USA border. Write this fraction as a decimal.

Mathematics

1 answer:

ohaa [14]2 years ago

3 0

QUESTION 1

Given that just over 3 quarters of Canadians live within a short distance of the USA border.

To write the fraction, 3 quarters as a decimal.

1 quarter = 1/4

3 quarters = 3 (1/4)

= 3/4

= 0.75

Therefore, just over 0.75 of Canadians live within a short distance of the USA border.

QUESTION 2

Given,

Amersham station is at 482 ft above sea level

Waterloo station is at 70 ft below sea level

Let the seal level be point 0

Position of Amersham station is at +482ft

Position of Waterloo station is at -70 ft

Height difference = +482 – (-70)

Since minus times minus equals plus

Height difference = 482 + 70

Height difference = 552ft

You might be interested in

S part of a statistic project, a math class weighed all the children who were willing to participate as shown below.

katovenus [111]

Answer:

18 children weighed less than 50 pounds.

Step-by-step explanation:

Ok, adding into the explanation what the heck this kind of a table is. The "stem" column is the tens place of each of the children's weights. The "leaf" is the ones digit of each of the children's weights. So in the row where the stem is 2, there were 2 kids weighing 23 and 25 pounds.

For your question, we have to add up how many students have a weight with a "stem" less than 5, because that's where 50 pounds starts.

8 + 2 + 5 + 3 = 18 children weighed less than 50 pounds.

6 0

2 years ago

Identify the polygon with vertices A(5,0), B(2,4), C(−2,1), and D(1,−3), and then find the perimeter and area of the polygon. HE

inn [45]

Answer:

Part 1) The polygon is a square

Part 2) The perimeter is equal to $20\ units$

Part 3) The area is equal to $25\ units^{2}$

Step-by-step explanation:

we have

$A(5,0), B(2,4), C(-2,1),D(1,-3)$

Plot the points

see the attached figure

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance AB

$A(5,0),B(2,4)$

substitute in the formula

$d=\sqrt{(4-0)^{2}+(2-5)^{2}}$

$d=\sqrt{(4)^{2}+(-3)^{2}}$

$d=\sqrt{25}$

$AB=5\ units$

Find the distance BC

$B(2,4), C(-2,1)$

substitute in the formula

$d=\sqrt{(1-4)^{2}+(-2-2)^{2}}$

$d=\sqrt{(-3)^{2}+(-4)^{2}}$

$d=\sqrt{25}$

$BC=5\ units$

Find the distance CD

$C(-2,1),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-1)^{2}+(1+2)^{2}}$

$d=\sqrt{(-4)^{2}+(3)^{2}}$

$d=\sqrt{25}$

$CD=5\ units$

Find the distance AD

$A(5,0),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-0)^{2}+(1-5)^{2}}$

$d=\sqrt{(-3)^{2}+(-4)^{2}}$

$d=\sqrt{25}$

$AD=5\ units$

we have that

AB=BC=CD=AD

Find the distance BD (diagonal)

$B(2,4),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-4)^{2}+(1-2)^{2}}$

$d=\sqrt{(-7)^{2}+(-1)^{2}}$

$BD=\sqrt{50}\ units$

Verify if the polygon is a square

If the triangle BDA is a right triangle, then the polygon is a square

Applying the Pythagoras theorem

$BD^{2}=AD^{2}+AB^{2}$

substitute

$(\sqrt{50})^{2}=5^{2}+5^{2}$

$50=50$ -----> is true

The triangle BDA is a right triangle

therefore

The polygon is a square

Find the Area of the polygon

The area of a square is equal to

$A=b^{2}$

we have

$b=5\ units$

$A=5^{2}=25\ units^{2}$

Find the perimeter of the polygon

The perimeter of a square is equal to

$P=4b$

we have

$b=5\ units$

$P=4(5)=20\ units$

6 0

2 years ago

In this investigation, you will be solving and interpreting several rate problems. Be sure to show your calculations.

tankabanditka [31]

1. 12 mph, 24 miles

2. m=4, y=22

3.15/1, $1500

4. x=30 y=60, k cheaper, j cheaper

7 0

2 years ago

Read 2 more answers

suppose you have a bag that hold 27 pieces of candy: 1 cream soda, 14 apple, and 12 root beer. you reach into the bag to pull ou

Alex787 [66]

I order to solve this you have to find out how how much root beer there is to the total amount of candy. 12/27. Then you find out what the percentage of root beer there is by dividing 12 by 27. It’ll give you a decimal point. Percentage has a maximum of 100%. And you’ll find out what percent based on this decimal. Factor it out of 1. The percentage you get is .44. By factoring out of 1 you can find out that the percentage is 44%. So the probability of finding a root beer out of all the candy is roughly 44%

7 0

2 years ago

What is the solution of the inequality below? y-1≥0

irinina [24]

Answer:

y≥1

Step-by-step explanation:

hello :

y-1≥0

y-1+1≥0+1

y≥1

3 0

2 years ago