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SpyIntel [72]
3 years ago
13

One day you bike for 30 miles 10 cool down at a rate of 0.25 miles/minute. The total distance you bike is 35 miles. How many min

utes do you cool down
Mathematics
1 answer:
tatyana61 [14]3 years ago
8 0
To determine the length of time it would took for the biker to cool down, we need the rate that would relate the distance he traveled to cool down per units of time. For this problem, the rate is given as 0.25 miles per minute. So, we simply divide the total distance he traveled with this rate. We calculate as follows:

time to cool down = distance / rate
time to cool down = 35 miles / 0.25 miles / minute
time to cool down = 140 minutes or 2 hrs and 20 minutes

Therefore, the biker would need to cool down for about 2 hrs and 20 minutes if he traveled for 35 miles.
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What is the approximate value of x in the diagram below? (Hint: You will need
Delicious77 [7]

Answer:

B. 39.59

Step-by-step explanation:

So 43 degrees, you know the length of the opposite side (27) and the angle (43 degrees), the only unknown is the hypotenuse. So you're looking for a trigonometric ratio that uses the angle (all of them do, except technically the inverse don't), the opposite side, and the hypotenuse. Sine is defined as \frac{opposite}{hypotenuse}. So let's plug in known values:

sin(43) = \frac{27}{x}

Multiply both sides by x

sin(43) * x = 27

divide both sides by sin(43)

x=\frac{27}{sin(43)}

Normally I would use a calculator, but in this case I'll use the approximation given in the problem of 0.682

x=\frac{27}{0.682}

simplify the fraction

x\approx39.59

8 0
2 years ago
How would I graph this inequality?<br> <img src="https://tex.z-dn.net/?f=7x%2B3y%5C%20%20%5Ctextless%20%5C%206-5x" id="TexFormul
Anon25 [30]

Answer:

the graph in the attached figure

Step-by-step explanation:

we have

7x+3y

isolate the variable y

Subtract 7x both sides

3y

3y

Divide by 3 both sides

y

The solution of the inequality is the shaded area below the dashed line

The equation of the shaded line is y=-4x+2

The slope of the dashed line is negative m=-4

The y-intercept of the dashed line is the point (0,2)

The x-intercept of the dashed line is the point (0.5,0)

To graph the inequality plot the intercepts and shade the area below the dashed line

using a graphing tool

the graph in the attached figure

3 0
3 years ago
The number of computer games sold during the sale was 257. This is 162 more than the number sold the week before the sale. How m
Black_prince [1.1K]

Answer: 92

Step-by-step explanation: Subtract 257 & 162 to get your answer :)

5 0
3 years ago
Suppose a normal distribution has a mean of 222 and a standard deviation of 16. What is the probability that a data value is bet
valentina_108 [34]
Mean of the distribution = u = 222
Standard Deviation = s = 16

We have to find the probability that a value lies between 190 and 230.

First we need to convert these data values to z score.

z= \frac{x-u}{s}

For x = 190, 
z= \frac{190-222}{16}=-2

For x = 230
z= \frac{230-222}{16}=0.5

So, we have to find the percentage of values lying between z score of -2 and 0.5

P( -2 < z < 0.5) = P(0.5) - P(-2)

From standard z table, we can find and use these values.

P(-2 < x < 0.5 ) = 0.6915 - 0.0228 = 0.6687

Thus, there is 0.6887 probability that the data value will lie between 190 and 230 for the given distribution. 

5 0
3 years ago
Jessica made plans to weave a rectangular jute rug, but she needs to update the plans to change the dimensions of the rug. The o
loris [4]

Answer:

Length of rug in original design is 36 inches .

Width of rug in original design is  60 inches .

The problem says that the new design has length 3x inches longer  and x inches wider than the rug in the original plans .

New length of rug would be 3x inches longer than the original design  which is 36 inches .

Thus new length of rug is  ( 3x + 36  )  inches .

New width of rug is x inches wider than the rug in the original plans which is 60 inches in original plan .

Thus new width of rug is   ( x + 60   )   inches .

Area of rectangle is  Length * Width  

Area of new rug is   ( 3x + 36 ) * ( x + 60 )

We distribute the terms using FOIL method .

( 3x + 36 ) *( x + 60 )  = 3x ( x + 60 ) + 36 ( x + 60 )

                                    =  3x² +  3x * 60  + 36 x  + 36 * 60

                                    =   3x²  + 180 x + 36 x + 2160

    Combining like terms ,  3x² + 216 x + 2160

Thus the area of the rug with the new dimensions is

( 3x + 36) ( x + 60 )  = 3x² + 216 x + 2160 .

7 0
2 years ago
Read 2 more answers
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