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Tanzania [10]
3 years ago
7

It took a sled dog team 8.5 hours to travel 161.5 Kilometers. What was the average speed of the sled dog team in Kilometers per

hour?
Mathematics
2 answers:
Crank3 years ago
8 0

Answer: 19

Step-by-step explanation:

BartSMP [9]3 years ago
6 0

Answer:

19

Step-by-step explanation:

because 161.5/8.5=19

This is because you divide the distance by the time

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one bus leaves a stop every 12 minutes. a second bus leaves the same stop every 18 minutes. if they both leave at 3:20 at what t
Murljashka [212]
3:56 is the time they will leave together again
8 0
3 years ago
A wire of length 240 inches is cut into 2 equals pieces. Each piece of wire is then bent into forming an equilateral triangle an
Tamiku [17]
240 inches cut into 2 equal pieces is just taking half of the wire.
Making the two pieces of wire 120 inches. 
If you bend one 120 inch wire into a square, that means that each side equals 30 inches. (A square has 4 sides. 120/4 = 30)
An area of a square is length times width, which the length equals 30 and width equal to thirty. 30 * 30 = 900. square inches. 
120 wire bent into a triangle makes each side equal to 40. 120/3=40. The area of an equilateral triangle is height times width. The width is just one of the sides (40 inches) but the height needs some geometry. To find the height you need to use either 30 times sin(60) or 30 times cos(30), both are equal. To be clear, I will leave the height as 30sin(60). The area will be equal to 40*30sin(60)
which can be simply written as 1200sin(60). 
So the sum of both areas is (1200sin(60)+900)
7 0
3 years ago
Find the equation for the line that passes through the point (5,-3), and that is perpendicular to the line with the equation y-1
8090 [49]

Answer:

y+3=-4(x-5)

Explanation:

Part A

Given the line:

y-1=\frac{1}{4}(x-2)

We want to find the equation of a perpendicular line that passes through the point (5,-3),

First, determine the slope of the perpendicular line.

Comparing the given line with the slope-point form:

\begin{gathered} y-y_1=m(x-x_1) \\ \implies\text{Slope},m=\frac{1}{4} \end{gathered}

By definition, two lines are perpendicular if the product of their slopes is -1.

Let the slope of the perpendicular line = n

\begin{gathered} \implies\frac{1}{4}n=-1 \\ n=-4 \end{gathered}

Thus, using a slope of -4 and a point (5,-3), we find the equation of the line.

\begin{gathered} y-y_1=m(x-x_1) \\ y-(-3)=-4(x-5) \\ y+3=-4(x-5) \end{gathered}

The equation of the perpendicular line in the slope-point form is:

y+3=-4(x-5)

Part B

In order to graph the line, first, find two points on the line.

When x=0

\begin{gathered} y+3=-4(0-5) \\ y+3=20 \\ y=20-3=17 \\ \implies(0,17) \end{gathered}

When y=1

\begin{gathered} 1+3=-4(x-5) \\ 4=-4(x-5) \\ \frac{4}{-4}=x-5 \\ -1=x-5 \\ x=5-1=4 \\ \implies(4,1) \end{gathered}

Join the points (0,17) and (4,1) as shown in the graph below:

3 0
1 year ago
There are 178 sixth and seventh graders. There are 12 more sixth graders than seventh graders. How many seventh graders are ther
kirill [66]
We have a total of 178 6th and 7th graders. And we are informed that there are 12 more 6th graders the 7th graders. Let x = the number of 7th graders

x + (x + 12) = 178
Subtract 12 from both sides

x + x = 166
Add like terms

2x = 166
x = 83

So, there are 83 7th graders. And add 12 to find the number of 6th graders.

12 + 83 = 95
5 0
3 years ago
Suppose you have the following oil prices: 59.29, 75.79, 84.40, 93.21, 96.54, 103.59, 105.79, 102.18. what is the sample mean? a
Tamiku [17]
Mean = (<span>59.29 + 75.79 + 84.40 + 93.21 + 96.54 + 103.59 + 105.79 + 102.18)/8


Mean = 720.79/8

Mean </span> = 90.09875

Mean ≈ 90.10  to 2 decimal places.
8 0
3 years ago
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