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vredina [299]
2 years ago
12

-90 divided by -31 help​

Mathematics
2 answers:
Nikolay [14]2 years ago
5 0

The answer is 2.90322581

Andrej [43]2 years ago
5 0

Answer:

2.903225

Step-by-step explanation:

if you divide 2negativezs, you get a positive. -90/-31 =2.903225

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Adam started to run at a rate of 6 mph from city A towards city B, which is 18 miles away. Ten minutes later, Benjamin started t
amm1812

Answer:

<u>Benjamin's rate in mph was 6.44</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

  • Rate or speed of Adam = 6 mph
  • Ten minutes later, Benjamin started to run from city B towards city A
  • Simultaneously, Caroline started to bicycle at a rate of 11 mph from city A towards city B

2. If Caroline caught up to Benjamin 50 minutes after passing Adam, what was Benjamin's rate in mph?

A. Let's calculate when Caroline caught up Adam:

Adam's rate = 6 mph

Caroline's rate = 11 mph

10 minutes = 1/6 of an hour

Distance covered by Adam when Caroline started to bike = 6 * 1/6 = 1 mile

t = Time it took Caroline to catch up to Adam

Therefore, we can solve for t, this way:

11t = 6t + 1

11t - 6t = 1

5t = 1

t = 1/5 of an hour

t = 12 minutes

Caroline passed Adam after biking 12 minutes, therefore she caught up to Benjamin 50 minutes later, or after 62 minutes.

B. Let's calculate the distance she covered after 62 minutes, this way:

62 minutes = 1 hour and 2 minutes or 1 2/60 or 1.03

Distance covered by Caroline = Time * rate

Replacing with the values we have:

Distance covered by Caroline = 1 2/60 * 11

Distance covered by Caroline = 11 11/30 or 11.37 miles

Let's recall the distance from city A to city B is 18 miles, therefore Benjamin covered 6.63 miles (18 - 11.37) when Caroline caught up to him

C. Finally let's calculate Benjamin's rate, this way:

Rate = Distance/Time

Replacing with the values we know:

Rate = 6.63/1.03

<u>Rate = 6.44 mph (rounding to the next hundredth)</u>

5 0
3 years ago
How is a rational number converted to its decimal form?
luda_lava [24]

Answer:

Answer to first question is:

You can convert all fractions to decimals. The decimal forms of rational numbers either end or repeat a pattern. If the fraction is a mixed number, change it to an improper fraction. Divide the numerator by the denominator. If the division doesn't come out evenly, round the decimal off.

Answer to second question is: 0.222222

Answer to third question is: Yes

Step-by-step explanation:

Well the way I think of it is:

3/9 as a fraction is 1/3... so 1 divided by 3 equals 0.333333 repeating. You can even write it as:

   _

0.3 with the fraction bar over it because it keeps repeating.

This goes for 2/9. All you have to do is do 2 divided by 9 and you get 0.222222 repeating. You can even write it as:

<h3>   _</h3>

0.2 with the fraction bar over it because it keeps repeating.

Hope this helps, have a good day. c;


3 0
3 years ago
Priya says no matter which way you slice this rectangular prism, the cross section will be a rectangle. Mai says i'm not so sure
almond37 [142]

Mai is right not to be sure.  If you slice across a corner the cross section is a triangle.

8 0
3 years ago
4. Write the equation in slope-intercept form. Slope = -3/4, point (0, 4)
jeyben [28]
Y=mx+b
m = slope
y = -3x/4 +b
4 = -3*0/4 + b
4 = b
y -3x/4 + 4
4 0
3 years ago
(3+8i) (3+8i) multiply
Serga [27]

Answer:-55+48i

Step-by-step explanation:

8 0
2 years ago
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