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3 years ago

(1) 9/8 + 5/6=

Mathematics

2 answers:

Rufina [12.5K]3 years ago

5 0

Hey there here are your answers:

(1) 1 23/2

(2) 3 7/12

(3) 7 1/3

Explanation 1:

With unlike denominators find the Least Common Denominator (LCD):

LCD = 24

Multiplying numerators and denominators to get the LCD in all fraction denominators:

9/8 x 3/3 and 5/6 x 4/4

Then rewrite the equation with the equivalent fractions:

27/24 and 20/24

With like denominators we can operate on just the numerators:

27/24 + 20/24 (Don't add the denominators, keep them as 24)

Now simplify the answer:

47/24 = 1 23/24

Explanation 2:

With unlike denominators find the Least Common Denominator (LCD):

LCD = 12

Multiplying numerators and denominators to get the LCD in all fraction denominators:

5/2 x 6/6 and 13/12

With like denominators we can operate on just the numerators:

30/12 + 13/12 (Don't add the denominators, keep them as 12)

Simplifying the answer:

43/12 = 3 7/12

Explanation 3:

The two fractions have like denominators so you can add the numerators:

17/3 + 5/3 = 22/3 (Don't add the denominators, keep them as 3)

Now convert to mixed number:

7 1/3 is the final answer!

<h2>I hope this helps and have an amazing day!</h2>

vitfil [10]3 years ago

4 0

Answer:

Here you go with you answers

Step-by-step explanation:

47/24
43/12
22/3

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Which equation represents the relationship shown in the graph below?

fomenos

I believe the answer is B
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3 years ago

The population, P(t), of China, in billions, can be approximated by1 P(t)=1.394(1.006)t, where t is the number of years since th

vitfil [10]

Answer:

At the start of 2014, the population was growing at 8.34 million people per year.

At the start of 2015, the population was growing at 8.39 million people per year.

Step-by-step explanation:

To find how fast was the population growing at the start of 2014 and at the start of 2015 we need to take the derivative of the function with respect to t.

The derivative shows by how much the function (the population, in this case) is changing when the variable you're deriving with respect to (time) increases one unit (one year).

We know that the population, P(t), of China, in billions, can be approximated by $P(t)=1.394(1.006)^t$

To find the derivative you need to:

$\frac{d}{dt}\left(1.394\cdot \:1.006^t\right)=\\\\\mathrm{Take\:the\:constant\:out}:\quad \left(a\cdot f\right)'=a\cdot f\:'\\\\1.394\frac{d}{dt}\left(1.006^t\right)\\\\\mathrm{Apply\:the\:derivative\:exponent\:rule}:\quad \frac{d}{dx}\left(a^x\right)=a^x\ln \left(a\right)\\\\1.394\cdot \:1.006^t\ln \left(1.006\right)\\\\\frac{d}{dt}\left(1.394\cdot \:1.006^t\right)=(1.394\cdot \ln \left(1.006\right))\cdot 1.006^t$

To find the population growing at the start of 2014 we say t = 0

$P(t)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^t\\P(0)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^0\\P(0)' = 0.00833901 \:Billion/year$

To find the population growing at the start of 2015 we say t = 1

$P(t)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^t\\P(1)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^1\\P(1)' = 0.00838904 \:Billion/year$

To convert billion to million you multiple by 1000

$P(0)' = 0.00833901 \:Billion/year \cdot 1000 = 8.34 \:Million/year \\P(1)' = 0.00838904 \:Billion/year \cdot 1000 = 8.39 \:Million/year$

6 0

3 years ago

Find the slope of the line that passes through (3, 5) and (1, 14).

Advocard [28]

Answer:

- 9/2

Step-by-step explanation:

slope m = (y2 - y1) /(x2 - x1) = (14 - 5)/(1 - 3)= 9/(-2)= - 9/2

4 0

3 years ago

Alonso is buying a new phone for $ 870

Lubov Fominskaja [6]

Answer:

Step-by-step explanation:

1. Get 15% of 870:

First, get 10 percent of 870, which is 87, then half that, which is 43.5

Get the 87 and add the 43.5 on it, to get the full 15%, you end up with $130.5, which is the monthly payment.

(Only problem is that im pretty sure you put an extra 0, because if you just wrote 87 dollar's then you would've got 13.05, the actual answer, but if you add an extra 0 then you end up with 130$, just to let you know.)

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2 years ago

Simplify 18/27??? Plz help

Rus_ich [418]

2/3 is the simplified form of 18/27

6 0

3 years ago

Read 2 more answers