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3 years ago

Heather was out for a leisurely walk at a rate of 3 miles per hour . What was her sped in yards per minute

1 answer:

6 0

3 mi/1 hr x 60 mins/1 hr x (how many yards are in a mile)/1 mile put it in fraction form. as i did. and cancel out hrs. and miles. and your left with your yards and mins. multiply across. and you get a huge fraction. divide the bottom number by the top one and you get your answer (: P.S. its really not about the numbers at all. its more about canceling out the conversions to find the answers(:

You might be interested in

What percent of 130 is 45.5?

docker41 [41]

Step-by-step explanation:

45.5 percent *130 =

(45.5:100)*130 =

(45.5*130):100 =

5915:100 = 59.15

Now we have: 45.5 percent of 130 = 59.15

5 0

3 years ago

What is the slope of a line perpendicular to the line whose equation is 3x + 6y = –72. Fully reduced

VARVARA [1.3K]

The slope of the line is 2 for the equation that is perpendicular.

Slope of the line:

Slope of the line refers the change in y coordinate with respect to the change in x coordinate.

Given,

Here we have the equation 3x + 6y = - 72 that is perpendicular to the line.

Now, we need to find the slope of the line from it.

First we have to convert the given equation of line into standard form,

Then we get,

3x + 6y + 72 = 0

Now we know that the slope of the line for this type of equation is,

m = -a/b

Whlie we compare the equation with the standard form ax + by + c = 0,

Then we get the value of a = 3 and b = 6

Therefore, the slope of the line is

m1 = -3/6

m1 =-1/2

Here we need to find the slope of a line which is perpendicular to the given line.

Through the definition we know that product of two perpendicular line is -1.

So,

m1 x m2 = -1

(-1/2) x m2 = -1

m2 = 2

Therefore, the slope of perpendicular line is 2

To know more about Slope of the line here.

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5 0

1 year ago

Natalia sold 3 out of 15 boxes of candy for her soccer team. What percent of the candy did Natalia sell?

jolli1 [7]

Answer:

20%

Step-by-step explanation:

3 out of 15 is the same as 3/15 = 1/5. 1/5 is the same as 20%

3 0

3 years ago

The graph of a linear equation contains the points (3,11) and (-2,11). Which point also lies on the graph?(YOU MUST SHOW WORK)

dexar [7]

Y= ax+b

when x=3, y=11 and when x= -2, y=11
3a+b=11
-2a+b=11 | * -1
3a+b=11
2a-b=-11
------------
5a=0, a=0:5, a=0
⇒ b=11
y=11 for every x
So ( 1,11) or (2,11) are also points on the graph

3 0

3 years ago

Here is a triangular pyramid and its net.

galben [10]

Answer:

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. $\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\$