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Margaret [11]
3 years ago
15

1/150 : 2 = 1/200: X

Mathematics
1 answer:
NeTakaya3 years ago
7 0

Answer:

The value of X is X=\frac{3}{2}

Step-by-step explanation:

Given : \frac{1}{150} : 2=\frac{1}{200} : X

To find : The value of X ?

Solution :

\frac{1}{150} : 2=\frac{1}{200} : X

Converting ratios into fraction,

\frac{\frac{1}{150}}{2}=\frac{\frac{1}{200}}{X}

\frac{1}{150\times 2}=\frac{1}{200\times X}

Cross multiply,

200X=300

X=\frac{300}{200}

X=\frac{3}{2}

Therefore, The value of X is X=\frac{3}{2}

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Please help with 11c!?
Contact [7]

Answer:

"To the nearest year, it would be about 9 years"

Step-by-step explanation:

11c)

This is compound growth problem. It goes by the formula:

F=P(1+r)^t

Where

F is the future amount

P is the present (initial) amount

r is the rate of growth, in decimal

t is the time in years

Given,

P = 20,000

r = 8% = 8/100 = 0.08

F = double of initial amount = 2 * 20,000 = 40,000

We need to find t:

F=P(1+r)^t\\40,000=20,000(1+0.08)^t\\2=(1.08)^t

To solve exponentials, we can take Natural Log (Ln) of both sides:

2=(1.08)^t\\Ln(2)=Ln((1.08)^t)

Using the rule shown below we can simplify and solve:

Ln(a^b)=bLn(a)

We can write:

Ln(2)=Ln((1.08)^t)\\Ln(2)=tLn(1.08)\\t=\frac{Ln(2)}{Ln(1.08)}\\t=9.0064

To the nearest year, that would be about 9 years

5 0
3 years ago
james attached a diagonal brace across a rectangular frame that measures 6ft by 8ft what is the length of the diagonal brace
Bogdan [553]
To solve this you would use the pythagorean theorem since the brace is making the frame look like two right triangles. The theorem states that for a triangle with a right angle, A^2+B^2=C^2. A and B are the sides of the frame and C is the brace which is like the hypotenuse of the triangle. It doesn't matter which side is A or B so you can put 6 or 8 in place of either in the equation. 6^2+8^2=C^2. If you simplify this it equals 36+64=C^2, which then simplifies to 100=C^2. Then you take the square root of both sides (what number multiplied by itself = the number you are trying to get, in this case, 100). So then you get C=10 because 10x10=100. So the length of the diagonal brace is 10ft.
4 0
3 years ago
A shop sells bagels for $5 per dozen. You can use the table to answer
Tomtit [17]

Answer:

$2.5

120 bagels

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
2) Eight is 5 less than<br> twice the number R.
posledela

Answer:

8-5 times R

Step-by-step explanation:

you subtract 8-5 to get that answer and then you do less than twice the number r i think this is correct hope it helps :)

7 0
3 years ago
Find the inverse of f(x)=4x+3
zhuklara [117]

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2 years ago
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