It takes a biker 1/2 hours to ride 8/3 miles. What is the biker's rate,in miles per hour?

Answers

Answer 1
Answer:

Answer:

The biker is traveling at 5(1)/(3) miles per hour.

Step-by-step explanation:

To find the rate, in miles per hour, you must use the formula r = d/t.

(r = rate)

(d = distance)

(t = time)

(8)/(3) ÷ (1)/(2) = 5(1)/(3)


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A principal of $4900 is invested at 8.5% interest, compounded annually. how much will the investment be worth after 7 years? Round to the nearest dollar
What is the slope of the line represented by the equation 4x+3y=12
Juanita begins to factor an expression as shown.x2 + 3x – 18 = (x + )(x – ) The numbers that should be placed in the boxes, from left to right, are .
What value of x makes the equation true? 3x+21=8x-4
Luke takes a sheet of paper and cuts from one corner to the opposite corner, making two triangles. If the piece of paper is 16 inches long and 12 inches wide, how long is the dagonal cut that Luke made? Make sure to show your work and explain ypur answer.

Use double angle formulas to find the exact value of sin2x,cos2x, and tan2xsinx=12/13, 0<x<pi/2

Answers

sin2x = 2sinxcosx;
cos2x = (cosx)^2 - (sinx)^2;
tan2x = (sin2x)/(cos2x);

 cosx = 5/13 from formula (sinx)^2 + (cosx)^2 = 1;

=> sin2x = 120/169; 
.................................

Manuel's job pays $11.50 per hour for a 40-hour work week.If Manuel worls over forty hours,he earns 1.5 times his hourly pay for each extra hour worked.How much is Manuel paid by his employer if he works 46 hours each week?

Answers

Hopes you understand my work

Final answer:

Manuel gets paid $460 for the first 40 hours of work, and an additional $103.50 for the 6 hours of overtime, making his total weekly pay $563.50 if he works 46 hours per week.

Explanation:

To calculate Manuel's weekly wage based on his hourly rate, we first need to consider his regular work hours and his overtime hours separately.

For his regular work hours, which are the first 40 hours, Manuel is paid at his regular hourly rate of $11.50. Therefore, his earnings for the 40 hours are: 40 hours * $11.50/hour = $460.

If he works more than 40 hours in a week, the additional hours are considered overtime.

For these extra hours, he is paid 1.5 times his regular pay. In this case, Manuel worked 46 hours, so he had 6 hours of overtime. His overtime earnings are: 6 hours * 1.5 * $11.50/hour = $103.50.

Adding these together, in a 46-hour week, Manuel's total earnings would be $460 + $103.50 = $563.50.

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Share 56 pound in the ratio 1:3:4

Answers

(56)/(1+3+4)\n(56)/(8)\n7\n\n7*1=7\n7*3=21\n7*4=28\n7:21:28

7 : 21 : 28

Suppose a varies directly as b, and a=7 when b=2 find b when a =21

Answers

because α varies directley to β
\alpha = k \beta
(k = constant)

α=7 when β=2
7= 2k
k= (7)/(2)

so when α=21
21= (7)/(2) b
b= 6

Final answer:

To solve for 'b' when 'a' = 21 in a direct variation relationship where 'a' = 7 when 'b' = 2, first determine the constant of proportionality. Then, insert 'a' into the formula and solve for 'b'. The solution of 'b' would be 6.

Explanation:

In this scenario, we are given that a varies directly as b, which means we can state this relationship as a = kb, where k is a constant of proportionality. Initially, we're given that a = 7 when b = 2. From this, we can find that k = a / b, so k = 7 / 2 = 3.5. Therefore, our direct variation equation is a = 3.5b.

When a = 21, we can substitute this into the direct variation equation and solve for b. Thus, 21 = 3.5b, and by dividing both sides by 3.5, we can find that b = 6.

Learn more about Direct Variation here:

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Were these answers right? It not explain why please xx it's meant to be in12 hour clock

Answers

The answers are both correct, but perhaps incomplete.

I see 'X's marked next to the two answers.  If those mean that
your answers were marked 'wrong', then I think the problem is this:

-- The top one should have been "10:00 AM".

-- The bottom one should have been "10:39 PM".

A company sells its printers to customers in order to make a profit of 25% calculate the price a customer posts for a printer which the company bought $1700

Answers

increase 25%
25%=1/4

1/4 of 1700=425

increase 25%
1700+425=2125

sold at $2125