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Tatiana [17]
3 years ago
12

Question 3solve the problem.a moving firm charges a flat fee of $45 plus $40 per hour. Let y be the cost in dollars of using the

moving firm for x hours. Find the slope-intercept form of the equation. ay = 40x + 45 by = 40x - 45 cy = 45x - 40 dy = 45x + 40
Mathematics
1 answer:
MaRussiya [10]3 years ago
5 0

slope (m) = rate.    $40 per hour is the rate, so m = 45

y-intercept (b) = one time fee.   $45 is the flat rate which is the one time fee, so b = 45

y = mx + b

y = 40x + 45

Answer: A


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The time, t, required to travel a fixed distance varies inversely as the
Lemur [1.5K]

You must travel at 42 mph for 4 hours

<em><u>Solution:</u></em>

Time varies inversely as rate of motion

Let "t" be the time required

Let "r" be the rate of motion

Then, we get

t \propto \frac{1}{r}\\\\t = k \times \frac{1}{r}\\\\t = \frac{k}{r} -------- eqn 1

Where, "k" is the constant of proportionality

<em><u>You travel 3 hours at a rate of 56 mph</u></em>

Substitute t = 3 and r = 56 in eqn 1

3 = \frac{k}{56}\\\\k = 3 \times 56\\\\k = 168

<em><u>Find the  rate you must travel for 4 hours</u></em>

r = ? and t = 4

Substitute t = 4 and k = 168 in eqn 1

4 = \frac{168}{r}\\\\r = \frac{168}{4}\\\\r = 42

Thus you must travel at 42 mph for 4 hours

4 0
3 years ago
Solve for x in the triangle. Round your answer to the nearest tenth.
Finger [1]

Answer:

9.7 units

Step-by-step explanation:

\sin \: 48 \degree =  \frac{x}{13}  \\  \\ 0.7431448255 =  \frac{x}{13}  \\ x = 0.7431448255 \times 13 \\ x = 9.66088273 \\ x \approx9.7 \: units \\

4 0
2 years ago
A box contains a collection of triangular and square tiles. There are 25 tiles in the box, containing 84 edges total. How many s
Alexandra [31]
There are 25 tiles total - triangles or squares - 84 edges
 
triangle (<em>t</em>) = 3 sides
square (<em>s</em>) = 4 sides

<em>t</em>+<em>s</em>= total tiles 
<em><u>t</u></em><u>+</u><em><u>s</u></em><u> = 25 </u>← solve
3<em>t</em> + 4<em>s</em> = total sides
<u>3</u><em><u>t </u></em><u>+ 4</u><em><u>s</u></em><u> = 84</u> ← solve
<em>
</em><em>t </em>= 16   <em>s</em> = 9

Check

16 + 9 = 25

3(16) + 4(9) = 84
48 + 36 = 84

<u>There are 9 square tiles in the box</u>



4 0
3 years ago
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