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ruslelena [56]
3 years ago
5

Assessment items What is the quotient? 1 5/8 ÷(−1 3/5 )

Mathematics
1 answer:
Solnce55 [7]3 years ago
4 0

We need convert the mixed numbers to improper fractions.

1\dfrac{5}{8}=\dfrac{1\cdot8+5}{8}=\dfrac{8+5}{8}=\dfrac{13}{8}\\\\1\dfrac{3}{5}=\dfrac{1\cdot5+3}{5}=\dfrac{5+3}{5}=\dfrac{8}{5}

Divide the number by a fraction, this is the same as multiply this number by the reciprocal of the fraction:

1\dfrac{5}{8}\div\left(-1\dfrac{3}{5}\right)=-\dfrac{13}{8}\div\dfrac{8}{5}=-\dfrac{13}{8}\cdot\dfrac{5}{8}=-\dfrac{(13)(5)}{(8)(8)}=-\dfrac{65}{64}\\\\\boxed{1\dfrac{5}{8}\div\left(-1\dfrac{3}{5}\right)=-1\dfrac{1}{64}}

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Peter drives his van a distance of 54 km. He leaves the depot at 10:55 and arrives back at 12:38. Calculate his average speed
OLga [1]

Answer:

31.46 km/hr to the nearest 100th

Step-by-step explanation:

10:55 to 11:00 is 5 min

11:00 to 12:00 is 60 min

12:00 to 12:38 is 38 min

That's 5 + 60 + 38 = 103 min = 103/60 hr. = t

d = rt

54 = 103/60(r)

r = 54(60)/103 =31.46 km/hr to the nearest 100th

5 0
3 years ago
Ellie takes her dog, Jack, for a 3 mile walk each day. On the first part of the walk, they go 2 mph. Then for the second part of
padilas [110]

Answer:

the entire walk is 9/7 hours i think

6 0
3 years ago
5-52: the first card selected from a standard 52-card deck is a king. a. if it is returned to the deck, what is the probability
Ksivusya [100]

Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability.

The probability of getting a king card is 1/13 or 0.077.

<h3>What is meant by probability?</h3>

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given: Total number of probability - 52

Now, the first selected card is king and it is returned to the deck.

So it contains no effect on the second selection card.

Then, we have to estimate probability to obtain a king

probability = favourable outcomes for a king / total possible outcomess

= 4 king cards / 52 cards in total

= 4 / 52 = 1 / 13

The probability of getting a king card is 1 / 13 or 0.077

Therefore, the correct answer is option B. 1/13, or 0.077.

The complete question is:

The first card selected from a standard 52-card deck was a king. It isreturned to the deck, what is the probability that a king will be drawn on the second selection?

A. 1/4 or 0.25

B. 1/13, or 0.077

C. 12/13, or 0.923

D. 1/3 or 0.33

E. None of the above​

To learn more about probability refer to:

brainly.com/question/13604758

#SPJ4

5 0
9 months ago
Solve the following problems. I REALLY NEED HELP 80 POINTS!
lisabon 2012 [21]

Answer:

a   10 yd   2ft  7 in

b 10 yd  1 ft  2 in

c  99 yd

d.  4840 sq  yd  7 sq ft  119 sq in  

Step-by-step explanation:

a.      2 ft. 5 in. +

9 yd. 3 ft. 2 in.

---------------------

9 yd   5ft   7 in

but 3 ft = 1yd

9 yd   5ft   7 in

+1yd   - 3ft

---------------------------

10 yd   2ft  7 in



b. 4 yd. 8 in

+ 6 yd. 6 in.

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10 yd       14 in

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10 yd  1 ft  2 in



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  55 yd. 1 ft. 10 in.

+ 13 yd. 1 ft. 3 in.  

--------------------------

97 yd   4 ft   24 in

12 in = 1ft

24 in = 2ft


97 yd   4 ft   24 in

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--------------------------------

97 yd   6ft

3 ft = 1yd

6f = 2yd


97 yd   6ft

+2yd   - 6ft

---------------------

99 yd


d. 4,839 sq. yd. 8 sq. ft. 139 sq. in.

                      + 7 sq. ft. 124 sq. in.

--------------------------------------------------

  4839  sq yd  15 sq ft   263 sq in

12*12 = 144 sq in = 1 sq ft

 4839  sq yd  15 sq ft   263 sq in

                       + 1 sq ft  - 144 sq in

--------------------------------------------------

4839  sq yd  16 sq ft  119 sq in

3ft * 3 ft = 9 sq ft = 1 sq yd

4839  sq yd  16 sq ft  119 sq in

      +1 sq yd  - 9 sq ft

----------------------------------------------

4840 sq  yd  7 sq ft  119 sq in              

8 0
2 years ago
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Elden [556K]

Answer:

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Step-by-step explanation:

3 0
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