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krek1111 [17]
2 years ago
14

4/5=27/x using two different methods. Explain each method

Mathematics
1 answer:
Andrei [34K]2 years ago
7 0
Metathod 1
4/5=27/x
mutiply 4/5 by 27/27 and multily 27/x by 4/4
108/135=108/4x
therefor
108:135=108:4x
therefor
135=4x
divide by 4
33.75=x




metahod 2

4/5=27/x
multiply oht sides by x
4/5x=27
multiply both sides by 5/4 to clear fraction
x=135/4
x=33.75


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bacteria colonies can triple in size every 4 days. If you start with 150 bacteria microorganisms, how large with the colony be a
-Dominant- [34]
It triples in size every 4 days.  In 16 days it will be 3 * 3 * 3 * 3 times bigger.

3 * 3 * 3 * 3 = 81
Therefore, after 16 days, the colony will contain (81 * 150) or 12,150 microorganisms.


6 0
3 years ago
Can someone help me with this please
erastova [34]

Not positively sure but I believe it goes like this

Answer: 9x+26+5x=180

14x+26=180

180-26=14x

14x=154

X=15

8 0
2 years ago
The sum of two numbers is 56 the difference is 4 find the two numbers
belka [17]

Answer:

30 and 26

Step-by-step explanation:

30 plus 26 is 55

30 minus 26 is 4

6 0
3 years ago
how many bricks can my truck carry in a full load if each brick weighs 4 pounds 14 ounces and my truck can carry a 3/4 ton load​
aleksklad [387]

Answer:

The number of bricks a truck can carry in full load is 308 .

Step-by-step explanation:

Given as :

The weight of each brick = 4 pounds and 14 ounce

The total load a truck can carry = \dfrac{3}{4}  tons

Let The number of bricks truck can carry = n bricks

<u>Now, According to question</u>

∵ 1 ounce = 0.0625 pounds

∴ 14 ounce = 0.0625 × 14 = 0.875 pounds

So, Total weight of each brick = 4 pounds + 0.875 pounds = 4.875 pounds

<u>Again</u>

∵ 1 pound = 0.0005 tons

∴ 4.875 pounds =  0.0005 × 4.875 = 0.0024375 tons

<u>Now, Again</u>

The total load a truck can carry = \dfrac{3}{4} tons = 0.75 tons

And The weight of each brick = 0.0024375 tons

So, The number of bricks = \dfrac{\textrm total load a truck can carry}{\textrm Total weight of each brick}

I.e n = \dfrac{0.75}{0.0024375}

∴ n = 307.69 ≈ 308

So, The number of bricks can truck carry = n = 308

Hence, The number of bricks a truck can carry in full load is 308 . Answer

7 0
3 years ago
5(9-x)/3 +1 less than 11<br>find x​
Lunna [17]

Answer:

x > \frac{1}{5}

Step-by-step explanation:

\frac{5(9-x)}{3+1}

Add 3 and 1 to get 4.

\frac{5(9-x)}{4}

Use the distributive property to multiply 5 by 9−x.

\frac{45-5x}{4}

Subtract  45/5 from both sides.

-\frac{5}{4}x

Since 44/4 and 45/4 have the same denominator, subtract them by subtracting their numerators.

-\frac{5}{4} x

Multiply both sides by -4/5, the reciprocal of -5/4. Since -5/4 is negative, the inequality direction is changed.

x>-\frac{1}{4} (-\frac{4}{5} )

Multiply -1/4 times -4/5 by multiplying numerator times numerator and denominator times denominator.

x>\frac{-(-4)}{4 x 5}

x>\frac{1}{5}

5 0
2 years ago
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