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marusya05 [52]
3 years ago
6

For a charity event, Jean biked at a fixed speed from Pine Bluff to Newberry. The graph shows the distance she rode along the y-

axis and the amount of time it took along the x-axis. The proportionality constant (y to x) is.

Mathematics
1 answer:
tamaranim1 [39]3 years ago
7 0

Answer:

<u>The average speed or proportionality constant (y to x) of Jean biking from Pine Buff to Newberry to go to the charity event was 15 miles per hour</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Distance from Pine Bluff to Newberry (y axis) = 75 miles

Time it took Jean to rode her bicycle (x axis) = 5 hours

2. The proportionality constant (y to x) is?

We can calculate the answer this way:

Proportionality constant (y to x) = Distance from Pine Bluff to Newberry (y axis)/Time it took Jean to rode her bicycle (x axis)

Substituting with the real values, we have:

Proportionality constant (y to x) = 75/5

Proportionality constant (y to x) = 15 miles per hour

<u>The average speed or proportionality constant (y to x) of Jean biking from Pine Buff to Newberry to go to the charity event was 15 miles per hour</u>

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Evaluate the expression when a= 4, b= - 2, and c= 7 - -&gt; 5a - 9 (b - c)
ollegr [7]

Answer:

65

Step-by-step explanation:

Given the following question:

5a-9(b-c)
a = 4
b = 2
c = 7

In order to find the answer, we need to substitute the variables with the numbers given, and then solve using PEMDAS.

5\times4-9\times(2-7)
2-7=-5
5\times4-9\times-5
5\times4=20
20-9\times-5
9\times-5=-45
20--45
20+45=65
=65

Hope this helps.

8 0
2 years ago
Niles and Bob sailed at the same time for the same length of time. Niles' sailboat traveled 36 miles at a speed of 6 mph, while
kykrilka [37]

Answer:

Niles and Bob were traveling for 6 hours.

Step-by-step explanation:

The speed or rate at which an object is moving can be computed using the formula:

s=\frac{d}{t}

Here:

<em>s</em> = speed

<em>d</em> = distance traveled

<em>t</em> = time taken

It is provided that Niles and Bob sailed at the same time for the same length of time.

Speed of Niles sailboat is, <em>s</em>₁ = 6 mph.

Distance traveled by Niles' sailboat is, <em>d</em>₁ = 36 miles.

Speed of Bob's sailboat is, <em>s</em>₂ = 16 mph.

Distance traveled by Bob's sailboat is, <em>d</em>₂ = 96 miles.

It took both Niles and Bob the same time to travel the respective distance.

Compute the time it took Niles to travel 36 miles at 6 mph speed as follows:

t_{1}=\frac{d_{1}}{s_{1}}

   =\frac{36}{6}\\=6

It took Niles 6 hours to travel 36 miles at 6 mph speed.

Compute the time it took Bob to travel 96 miles at 16 mph speed as follows:

t_{2}=\frac{d_{2}}{s_{2}}

   =\frac{96}{16}\\=6

It took Bob 6 hours to travel 96 miles at 16 mph speed.

Thus, Niles and Bob were traveling for 6 hours.

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Answer:

65.52 square feet

Step-by-step explanation:

to find area of a rhombus with the diagonals multiply them together and divide by two.

10.4 x 12.6 = 131.04

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7 0
3 years ago
Solve the simultaneous equations y=3x+2 and y=x+6
kogti [31]

Answer:

x=2

Step-by-step explanation:

y=3x+2

y=x+6

Since you're stating that, they both equal because equation is equated to equation 2 because of the Y.

Therefore, substitute into both equations as shown:

3x+2=x+6

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x=2.

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2 years ago
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