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malfutka [58]
4 years ago
7

Increase #500 in the ratio 16:10

Mathematics
1 answer:
Oxana [17]4 years ago
3 0

Answer:

Answer is <em>900</em>.

Step-by-step explanation:

To find:

Increase #500 in the ratio 16:10

Solution:

<em>New Number: Old Number = 16:10</em>

We are given the old number as 500.

Let the new number after increase = x

Now, using the above ratio:

<em />x<em>: </em>500<em> = </em>16:10

\dfrac{x}{500} = \dfrac{16}{10}\\\Rightarrow x = 500 \times \dfrac{16}{10}\\\Rightarrow x = 50 \times 16\\\Rightarrow x = 900

Therefore, the increased value of 500 in the ration 16:10 is <em>900</em>.

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In Dr. Mosley's waiting room, 4 magazines are scattered on the chairs. A patient named Tristan decides he probably has time to s
iragen [17]

Answer: Tristan can pick them out in 6 different ways

Step-by-step explanation: In the waiting room the four magazines all have an equal chance of being picked first and then others would be picked subsequently. If we are to pick magazine A first of all, then the others would be picked as B, C and D, or C, B and D, or D, B and C, and so on.

However, rather than spend so much time counting the different ways we can apply the mathematical method of permutation. Since choosing the first one means we can’t choose it again but others have to be chosen, and all four magazines each has an equal chance of being chosen first, then the number of all possible permutations is given as 4! (four factorial).

The question requires us to chose three out of the four magazines, so we shall apply 3!.

3! = 3 x 2 x 1

3! = 6

Therefore, there are 6 different ways to pick three out of the four magazines

6 0
3 years ago
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Translate and solve using proportions: What number is 30% of 60
balandron [24]

Answer: 18

Step-by-step explanation:

The question is asked to know 30% of 60, we get

60 x 30% = 60 x 0.3 = 18

3 0
3 years ago
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PLEASE HELP!
kirza4 [7]
Equations with absolute value:

|f(x)| = k

Where k is a positive number; if k is a negative number, the equation is impossible (absolute value is always positive).

How to solve:

|f(x) | = k
- f(x) = k \: \: or \: \: f(x) = k

Then:
1. |x+7|=12
x+7=12 V -x-7=12
x=5 V -x=19
x=5 V x=-19
{-19, 5}

2. |2x+4|=8
2x+4=8 V -2x-4=8
2x=4 V -2x=12
x=2 V x=-6

3. 3|3k|=27
3×3k=27 V 3×(-3k)=27
9k=27 V -9k=27
k=3 V k=-3
{-3, 3}

4. 5|b+8|=30
5×(b+8)=30 V 5×(-b-8)=30
5b+40=30 V -5b-40=30
5b=-10 V -5b=70
b=-2 V b=-14
{-14, -2}

5. |m+9|=5
m+9=5 V -m-9=5
m+9=5 V m+9=-5
4 0
3 years ago
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HELP HELP HELP KAISHSNA
Leokris [45]

Answer:

i think its just the last one

Step-by-step explanation:

because the first two are all real numbers and the thrid equals one

8 0
3 years ago
209 divided by 3 estimate
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Answer:

The quotient is estimated to be 69.

Other:

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