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2 years ago

5

Write the pair of fractions as a pair of fractions with a common denominator

1 answer:

Dmitriy789 [7]2 years ago

4 0

I'll do the first two problems to get you started

Problem 1

1/2 = 3/6

1/3 = 2/6

For the first fraction, I multiplied top and bottom by 3. Note how 3 is the denominator of the second fraction.

For the second fraction, I multiplied top and bottom by 2. Note how 2 is the denominator of the first fraction.

===============================================

Problem 2

1/2 = 5/10

3/5 = 6/10

Like with problem 1, I multiplied top and bottom of the first fraction by the value 5 which is the denominator of the second fraction. Likewise, I did the same for the second fraction using the first denominator. The steps are essentially the same, but the numbers are different.

Problem 3 will be handled the same way. I'll let you try it out.

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If the line t is a transversal of lines I and m, NAME THE SPECIAL ANGLE PAIR RELATIONSHIP of the given angle pairs.

Hunter-Best [27]

Answer:

a. <1 and <3

Step-by-step explanation:

8 0

2 years ago

A car has mass 1500 kg and is traveling at a speed of 35 miles/hour. what is its kinetic energy in joules? (Be sure to convert m

photoshop1234 [79]

Answer:

Factor by which kinetic energy increase = 4 times

Step-by-step explanation:

Given,

Mass of the car, v1 = 1500 kg

initial speed of car = 35 miles/h

$=\dfrac{35\times 1609.34}{3600}\ m/s$

= 15.64 m/s

Initial kinetic energy of the car is given by,

$k_1\ =\ \dfrac{1}{2}.m.v_1^2$

$=\ \dfrac{1}{2}\times 1500\times (15.64)^2\ joule$

= 183606.46 J

Final velocity of car v2 = 70 miles/hour

$=\dfrac{70\times 1609.34}{3600}$

= 31.29 m/s

So, final kinetic energy of car is given by

$k_2\ =\ \dfrac{1}{2}.m.v_2^2$

$=\ \dfrac{1}{2}\times 1500\times (31.29)^2$

= 734425.84 J

Now, the ratio of final to initial kinetic energy can be given by,

$\dfrac{k_2}{k_1}=\ \dfrac{734425.84}{183606.46}$

$=>\ k_2\ =\ 4k_1$

Hence, the kinetic energy will increase by 4 times.

7 0

2 years ago

In testing the lethal concentration of a chemical found in polluted water. it is found that a certain concentration will kill 20

sasho [114]

Answer:

a) 0.1091

b) 0.9994

c) 0.5886

Step-by-step explanation:

X = the number of fish out of 20 that die after 24 hours

x = 0, 1, 2, . . . , 20

X~ Binomial (n= 20, p =0.20)

P(14 survive) = P(X = 6)

= $nC_r p^r q^{n-r}= 20C_6 0.2^6\times0.8^{14}$ =0.1091

Similarly we can find out

P(at least 10 survive) = P( X <= 10 ) = (Using technology) = 0.9994

P(at most 16 will survive) = P(X <= 16) = (Using technology) = 0.5886

7 0

2 years ago

7a/3a+3-5/4a-4=3a/2a+2

jekas [21]

I guess i would be <span>a=2.790220576310317 or </span><span>−<span>1.2902205763103165</span></span>

4 0

2 years ago

Kevin can travel 22 1/2 miles in 1/3 hour. What is his average speed in miles per

finlep [7]

67.5 as distance = rate x time
So rate would equal distance / time
Rate = 22.5 miles / 1/3 hour
Rate = 67.5 mph

5 0

2 years ago