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Triss [41]
2 years ago
6

What equivalent fractions could you write to add 1/2 and 2/3 ? EXPLAIN.

Mathematics
1 answer:
Anna11 [10]2 years ago
5 0

Answer: 3/6 + 4/6

Step-by-step explanation:

So the key to this is you can only add fractions with the same denominator. As you can see from this question these denominators (2 and 3) are not the same so we need to change that. We can usually find a common denominator between the numbers but to save time the smallest number that both 2 and 3 go into is 6. so 1/2 becomes 3/6 because 1/2=3/6. And 2/3 becomes 4/6 because 4/6=2/3. Since that's true we can add both 3/6 and 4/6. So when adding fractions remember only add NUMERATORS do not add DENOMINATORS. so 3/6 and 4/6 = 7/6 NOT \neq 7/12.

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Write the equation of the line in slope-intercept form using y=mx+b​
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Answer:

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8 0
3 years ago
A cyclist travels 56 miles in 4 hours. What is the cyclist speed in feet per second
Step2247 [10]

Answer:

21.09 ft/s

Step-by-step explanation:

The first step is to create the ratio of speed/time.

\frac{56 miles}{4 hours}

Next we must simplify

\frac{14 miles}{1 hour}

Next we must convert 14 miles in to feet. There are 5280 feet in a mile.

14 * 5280ft = <u>75,920 feet</u>

Now for hours into seconds.

1 hour = 60 min, 60 min = 3600 seconds

Our new ratio is \frac{75920ft}{3600sec}

simplify.

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3 0
3 years ago
Help me please and thank you
Scorpion4ik [409]

Answer:

x = 20

y = 10

m∡8 = 110°

Step-by-step explanation:

m∡1 + m∡2 = 180

5x + y + 3x + y = 180

8x + 2y = 180

m∡1 = m∡8    (they are alternate-exterior angles and are congruent)

5x + y = 3x + 5y

2x = 4y

x = 2y

Substitute '2y' for 'x' in 8x + 2y = 180

8(2y) + 2y = 180

18y = 180

y = 10

x = 2(10)

x = 20

m∡8 = 3(20) + 5(10) = 110°

8 0
3 years ago
Find the solution to each problem. Show all of your work.
Katen [24]

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2. (Same convertion)

5 hours and 10 minutes = 5 x 60 + 10 = 310 (minutes)

So, the last day rained longer than the day before it.

3. 1 day = 24 hours.

We convert 3 days to hours : 3 x 24 = 72 (hours)

Since 72 > 68, Wendy's family lost their power longer than their neighbors.

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Convert 2 minutes and 2 seconds to seconds : 2 x 60 + 2 = 122 (seconds)

Since 122 > 121, it means Paul took longer to finish his race, which mean Jeff finished first (Rip Paul)

5.

Question : Bob bought 2 pizzas for him and his friend, Kevin. They both ate 1 pizza. Bob finished his pizza in 6 minutes and 45 seconds. Kevin finished his pizza in 400 seconds. Who finished first?

Solution : Convert 6 minutes and 45 seconds to seconds : 6 x 60 + 45 = 405 (seconds)

Since 405 > 400, Bob took longer to finish his pizza -> Kevin finished first.

6 0
2 years ago
Use the quadratic formula to solve for x.
AlexFokin [52]
You didn’t put the picture of your problem
5 0
2 years ago
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