3.How tall is the goal post?

Margaret [11]

 $\frac{10}{56}$ 

⇒numerator and denominator are divided (÷2)

= $\frac{5}{28}$ 

Good homework :)

5 0

3 years ago

Read 2 more answers

Nina and Jo both ran an 8 km race. Nina took 55 minutes to run the whole race. Jo started the race 3 minutes later than Nina but

grin007 [14]

Answer:

Step-by-step explanation:

First we figure out how fast Nina can run. If Nina can run 8 km in 55 minutes, then her rate is

$\frac{8km}{55min}=.145\frac{km}{min}$ and we can use that in a d = rt table:

d = r * t

Nina .145

Jo

Now we can fill in the distance which is 6 for both, since that is the distance where they met:

d = r * t

Nina 6 = .145

Jo 6 =

Now we go to the info given about the time. If Jo started the race 3 minutes after Nina, that means that Nina is running 3 minutes longer than Jo. Filling in the time info:

d = r * t

Nina 6 = .145 * t + 3

Jo 6 = r * t

As you can see, right now we have 2 unknowns in Jo's row. But we don't have to! We will go to Nina's row where the only unknown is time and solve for t. If d = rt, then

6 = .145(t + 3) and

6 = .145t + .435 and

5.55 = .145t so

t = 38.379 minutes. This means that Jo was running 38.379 minutes when she caught up to Nina (it took Nina 3 minutes longer than that to go 6 km since she was already running for 3 minutes when Jo started the race). If Jo's time is 38.379, we can use that in her row for t and solve for r. If d = rt, then

6 = r(38.379) and

r = .16 km/min

Let's check it without the rounding (rounding takes away from the accuracy). If 6 = .145(t + 3) and Nina's rate not rounded is .145454545 and t = 38.37931034, then, rewriting without rounding:

6 should equal .145454545( 38.37931034 + 3)

6 ?=? .145454545(41.37931034)

6 ?=? 6.0 so

Jo's rate is .16 km/min rounded

6 0

2 years ago

Dr. Jones is interested in expanding his practice by adding a piece of radiology equipment. The basic cost of the equipment woul

inysia [295]

Answer:

Dr. Jones' projected income is US$ 56.793, projected costs are US$ 61,935.48 and projected loss is US$ 5,142.48 for the 1st year of the radiology service.

Step-by-step explanation:

1. Dr. Jones Income per year:

Income = 1,100 * 51.63

Income = US$ 56,793

2. Dr. Jones Costs

Equipment = US$ 1,564.29 loan cost monthly

Radiology tech salary = US$ 39,600 (including taxes and fringe benefits)

Variable cost = US$ 3.24 * 1,100

Equipment = 1,564.29 * 12 = US$ 18,771.48

Radiology tech salary = US$ 39,600

Variable cost = US$ 3,564

Total costs = Equipment loan cost + Radiology tech salary + Variable cost

Total costs = 18,771.48 + 39,600 + 3,564

Total costs = US$ 61,935.48

3. Dr. Jones Profit or Loss

Profit or loss = Income - costs

Profit or loss = 56,793 - 61,935.48 (Costs are higher than income)

Loss = US$ 5,142.48

5 0

3 years ago

A volcanic eruption ejects about 43,600,000,000 cubic feet of volcanic rock. A smaller volcanic eruption ejects about 75% of thi

faltersainse [42]

Answer:

3 × 10^10

Step-by-step explanation:

43,600,000,000 × 75% = 0.75 × 43,600,000,000 = 32,700,000,000 =

= 3.27 × 10^10

Answer: 3 × 10^10

6 0

1 year ago

An isosceles triangle has an angle that measures 110°. Which other angles could be in that isosceles triangle? Choose all that a

Stolb23 [73]

The answer is ,
Only 35 degrees...
As the other option won’t make the sum of the interior angles 180..

8 0

2 years ago