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ExtremeBDS [4]
3 years ago
5

Kate's swim coach informs her that she only has 35% of her workout left. Kate has swum 26 laps so far.

Mathematics
1 answer:
pentagon [3]3 years ago
7 0
Kate needs to swim 40 laps to come complete 66 laps
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Write an equation in slope intercept form for a line that passes through the origin with a slope of 3/2
mrs_skeptik [129]

Answer: y = (3/2)x

m = 3/2 is the slope

(x1,y1) = (0,0) is the point we want the line to go through, aka the origin

Use point slope form, plug in the given values, and convert to slope intercept form

y - y1 = m(x - x1) .... point slope form

y - 0 = (3/2)*(x - 0) .... substitution

y = (3/2)x .... final answer in slope intercept form

4 0
3 years ago
Which is not a common factor of 15, 45,and 90
Naddika [18.5K]

Answer:

6/90/45/30/18/9/2

Step-by-step explanation:

15: 3/5/15/1

45: 45/1/9/5/15/3/

90: 90/1/9/10/45/2/15/6/3/30/5/18

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3 years ago
Write equations for the vertical and horizontal lines passing through the point (-3,-8).​
Gelneren [198K]

Answer:

Horizontal: y=-8

Vertical: x=-3

Step-by-step explanation:

8 0
1 year ago
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Verify that the following equation is an identity. (1/sinx) - (1/cscx) = cscx - sinx
Anarel [89]
Manipulating the left side of the equation, we obtain:

\dfrac{1}{\sin x}-\dfrac{1}{\csc x}=\dfrac{\csc x-\sin x}{\sin x\cdot\csc x}

Using that \csc x=\dfrac{1}{\sin x}:

\dfrac{\csc x-\sin x}{\sin x\cdot\csc x}=\dfrac{\csc x-\sin x}{\sin x\cdot\dfrac{1}{\sin x}}=\dfrac{\csc x-\sin x}{1}=\csc x-\sin x\\\\\boxed{\dfrac{1}{\sin x}-\dfrac{1}{\csc x}=\csc x-\sin x}~~\blacksquare
6 0
3 years ago
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Answer: Robert ran faster than Jocab

Step-by-step explanation:

Convert the improper fraction to a proper fraction

Jocab = 5miles in 1 1/2 hours, therefore, 1 1/2 hours = 3/2 hours, to convert to minute will be 3/2 x 60 = 90 minutes

Robert = 3 miles in 3/4 hours = 45 minutes

If Robert runs 3 miles in 45 minutes, by the end of 90minutes, Robert would have covered 6miles, while Jocab covered 5miles in 90 minutes, therefore, Robert ran faster than Jocab.

3 0
3 years ago
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