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Tasya [4]
2 years ago
13

explain how you can use multiplication to find the quotient 3/5 divided by 3/15. then evaluate the expression

Mathematics
2 answers:
Mariana [72]2 years ago
8 0

we  know that

Dividing is the opposite of multiplying. Therefore, dividing by a fraction can be accomplished by multiplying by its reciprocal

so

\frac{\frac{a}{b}}{\frac{c}{d}} =\frac{a}{b}*\frac{d}{c}

in this problem we have

\frac{a}{b}=\frac{3}{5}\\ \\\frac{c}{d}=\frac{3}{15}

substitute in the formula above

\frac{\frac{3}{5}}{\frac{3}{15}} =\frac{3}{5}*\frac{15}{3}=3

therefore

<u>the answer is </u>

3

Vaselesa [24]2 years ago
7 0
\frac{3}{5} ÷ \frac{3}{15}

⇒\frac{3}{5} × \frac{15}{3} =  \frac{45}{15} = 3
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Jessie has a total of 36 coins of dimes and nickels. Total value is $2.35. How many of each kind of coins does he have?
Viktor [21]

There are 2 dollars so that would equal 20 dimes.

Proof:

10 cents = a dime

20 x 10 = 200 = 2 dollars

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There are 35 cents to that would equal 3 dimes and 1 nickel.

Proof:

10 cents = a dime

5 cents = a nickel

3 x 10 = 30

1 x 5 = 5

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So the final answer would be 23 dimes and 1 nickel.

7 0
3 years ago
QUESTION 2
Mekhanik [1.2K]

Answer:

3/30 =1/10

Step-by-step explanation:

add up the number of balls and then

number of black balls divided by the total number of balls.

5 0
3 years ago
What is the answer to 8x - 6x = -18
SashulF [63]
8X - 6X = -18

2X = -18

X = -9.

Hope this helps!
5 0
3 years ago
Read 2 more answers
WHICH IS A TRUE STATEMENT BASED ON THE DOT PLOTS BELOW 10 POINTS
Nata [24]

Answer:

C. Set B has the greater range.

Step-by-step explanation:

We can start out with listing out each set of data in a way that makes it easier to work with.

Set A:

20,20,30,30,40,40,40,40,40,50,50,60,60,60

Set B:

10,10,20,20,20,30,30,30,30,40,50,50,60

We can start by trying to eliminate answer options; starting with D.

To get the mean of a set of data, we need to add all numbers in the data set and then divide by the number of dots on the plot.

For Set B: 10+10+20+20+20+20+30+30+30+30+40+50+50+60=420 then divide by number of dots (14) 420/14=30 The mean of Set B is equal to 30.

Solve the mean for Set A to compare. The mean is 41. D is not true so we can eliminate this answer choice.

We can look at the median of both sets so that we can eliminate answer choice B. The median is the middle most point in the set of data.

Set A median: 40

Set B median: 30

We can eliminate B because it does not have the greater median.

On to option C: range.

To find the range of each data set, we subtract the smallest number from the biggest number.

Set A: 60-20=40

Set B: 60-10= 50

Set B does in fact have a greater range than Set A. Answer choice C is the correct option.

6 0
3 years ago
If jobs arrive every 15 seconds on average, what is the probability of waiting more than 30 seconds?
Aleksandr [31]

Answer: 0.14

Step-by-step explanation:

Given: Mean : \lambda=15\text{ per seconds}

In minutes , Mean : \lambda=4\text{ per minute}

The exponential distribution function with parameter \lambda  is given by :-

f(t)=\lambda e^{-\lambda t}, \text{ for }x\geq0

The probability of waiting more than 30 seconds i.e. 0.5 minutes is given by the exponential function :-

P(X\geq0.5)=1-P(X\leq0.5)\\\\=1-\int^{0.5}_{0}4e^{-4t}dt\\\\=1-[-e^{-4t}]^{0.5}_{0}\\\\=1-(1-e^{-2})=1-0.86=0.14

Hence, the probability of waiting more than 30 seconds = 0.14

5 0
3 years ago
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