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jek_recluse [69]
2 years ago
8

Find the unit rate. 5/8 mile in 1/4 hour

Mathematics
1 answer:
erik [133]2 years ago
5 0
Answer

The unit rate in miles per hour is 2.5 mph.

Step-by-step explanation:

1/4 x 4 = 1 hour
5/8 x 4 = miles that would have been covered in one hour
20/8 of a mile would have been covered in one hour
20/8 = 2.5
2.5 miles would have been covered in an hour, with which his speed was 2.5 mph.
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samuel needs to estimate the product of 24 x 395. Explain two different methods Samuel can use to estimate.
JulsSmile [24]

Samuel needs to estimate the product of 24 x 395.

First method

We round the number to nearest tens

24 can be rounded to 20 because we have 4 on ones place

395 can be rounded to 400 because we have 5 in ones place so we add 1  with 9 and it becomes 10 . so we add 1 with 3 and got 400

20 * 400 = 8000

Second method:

We round the number to nearest hundreds place

24 have no number in hundreds place so it remains 24

395 can be rounded to 400 because we have 9 in tens place.

24 * 400 = 9600


4 0
3 years ago
Find the radius of the circle whose equation is (x + 5)2 + (y + 8)2 = 16
Oxana [17]

The radius is 4.

Find the radius of the circle whose equation is (x + 5)2 + (y + 8)2 = 16

6 0
3 years ago
1.Arsenic-74 is used to locate brain tumors. It has a half-life of 17.5 days. 90 mg wereused in a procedure. Write an equation t
Sophie [7]

1)\text{   }N_t\text{ = 90\lparen}\frac{1}{2})^{\frac{t}{17.5}}

2) 5.625 mg will be left

Explanation:

1) Half-life = 17.5 days

initial amount of Arsenic-74 = 90 mg

To get the equation, we will use the equation of half-life:

\begin{gathered} N_t\text{ = N}_0(\frac{1}{2})^{\frac{t}{t_{\frac{1}{2}}}} \\ where\text{ N}_t\text{ = amount remaining} \\ N_0\text{ = initial amount} \\ t_{\frac{1}{2}\text{ }}\text{ = half-life} \end{gathered}N_t\text{ = 90\lparen}\frac{1}{2})^{\frac{t}{17.5}}

2) we need to find the remaining amount of Arsenic-74 after 70 days

t = 70

\begin{gathered} N_t=\text{ 90\lparen}\frac{1}{2})^{\frac{70}{17.5}} \\ N_t\text{ = 5.625 mg} \end{gathered}

So after 70 days, 5.625 mg will be left

4 0
1 year ago
Sam ran at 6km/h for two hours 20 minutes what distance did he run?
horrorfan [7]
He ran 14 km, multiply 6 by 2 and 1/3.
7 0
3 years ago
2. It costs Edgar $2.65 one way to ride the bus to work. He uses the bus to go to and from work four days per week. He buys a bo
Maurinko [17]
$27

2.65 x 2 (since he has to go both to and from work each day) = $5.30
Add the daily cost of the water bottle (1.45) to make his total cost for one day, which is 6.75
Multiply this number by 4 (because he goes 4 days a week) to get $27 for one week.
6 0
3 years ago
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