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2 years ago

The sum of two numbers is 40. The second number is 5 less than twice the first number. Let x represent the first number

Mathematics

2 answers:

Katen [24]2 years ago

8 0

Answer:

Step-by-step explanation:

Double 15 x 2 = 30 -5 =25 +original 15 would be 40 answer is 15

GuDViN [60]2 years ago

7 0

The answer would be 25 because your trying to find less of the number

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What's the answer for this question? (The numbers after the letters are indexes btw) 27a9 x 18b5 x 4c2 Over 18a4 x 12b2 x 2c

zysi [14]

Answer:

$\frac{27a^9 * 18b^5 * 4c^2 }{18a^4 * 12b^2 * 2c} = \frac{9}{2}a^5b^3c$

Step-by-step explanation:

Given

$\frac{27a^9 * 18b^5 * 4c^2 }{18a^4 * 12b^2 * 2c}$

Required

Simplify

$\frac{27a^9 * 18b^5 * 4c^2 }{18a^4 * 12b^2 * 2c}$

Cancel out 18

$\frac{27a^9 * b^5 * 4c^2 }{a^4 * 12b^2 * 2c}$

Divide 4 and 2

$\frac{27a^9 * b^5 * 2c^2 }{a^4 * 12b^2 *c}$

Divide 27 and 12 by 3

$\frac{9a^9 * b^5 * 2c^2 }{a^4 * 4b^2 *c}$

Apply law of indices

$\frac{9a^{9-4} * b^{5-2} * 2c^{2-1} }{4}$

$\frac{9a^5 * b^3 * 2c }{4}$

Divide 2 and 4

$\frac{9a^5 * b^3 * c}{2}$

$\frac{9a^5b^3c}{2}$

Rewrite as:

$\frac{9}{2}a^5b^3c$

Hence:

$\frac{27a^9 * 18b^5 * 4c^2 }{18a^4 * 12b^2 * 2c} = \frac{9}{2}a^5b^3c$

4 0

2 years ago

What does it mean when no metric prefix is used on a measurement

dolphi86 [110]

Answer: The measurement is not multiplied by a power of 10

i hope this helped <3

5 0

3 years ago

How many balls can Michael predict to hit if he is pitched 20 balls?

Vinvika [58]

If Michael is pitched 20 balls he will at least hit ten of them!

7 0

3 years ago

we want a ratio of orange seashells and pink seashells to be 3:7. we should use 40 seashells.how many orange shells should we pa

dybincka [34]

Add the ratios together: 3+7=10. The ratio means that there are 3/10×40=12 orange seashells and 7/10×40=28 pink seashells.

7 0

3 years ago

ack has a collection of 10 pairs of gloves in his wardrobe. Before a business trip, he has to pack his luggage, and he selects 8

Leto [7]

Answer:

$\frac{{10 \choose 8}2^8}{{20 \choose 8}}\approx 0.091$

Step-by-step explanation:

We can think of the 10 pairs of gloves as simply being gloves of different colors. Picking no matching pair is the same as picking no 2 gloves of the same color. To compute the probability of doing so, we can compute the number of ways to select 8 gloves from different colors, and divide that by the total number of ways to select 8 random gloves out of the 20 gloves.

To compute the number of ways in which we can select 8 gloves from different colors, we can think of the choosing procedure as follows:

1st step- We choose from which 8 colors are we going to pick gloves from. So we have to pick 8 out of 10 colors. This can be done in ${10 \choose 8}$ ways.

2nd step - We now have to choose which glove are we going to pick from each of the chosen colors. Either the left one or the right one. For the first chosen color we have 2 choices, for the second chosen color we have 2 choices, for the third chosen color we have 2 choices, and so on. Therefore the number of ways in which we could choose gloves from the chosen colors is $2^8$

And so the total number of ways in which we could choose 8 gloves from different colors is

${10 \choose 8 }2^8$

Now, the total numer of ways in which we could choose 8 gloves out of the 20 gloves is simply ${20 \choose 8}$

So the probability of picking no mathing pair is

$\frac{{10 \choose 8}2^8}{{20 \choose 8}}\approx 0.091$

4 0

2 years ago