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2 years ago

Substitution method- r = -3s r= 10 - 4s

Mathematics

1 answer:

Tcecarenko [31]2 years ago

5 0

$r=-3s\\r=10-4s\\\\-3s=10-4s\ \ \ \ |add\ 4s\\-3s+4s=10\\s=10\\\\r=-3\cdot10=-30$

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A 24 inch board is cut into 3 pieces so that the second piece is twice as long as the first and the third is 3 times as long as

Lady_Fox [76]

Answer:

The answer to your question is: first piece = 4 in, second piece = 8 in, third piece = 12 in

Step-by-step explanation:

Data

total length = 24 inches

first piece = x in

second piece = 2x

third piece = 3x

Equation

x + 2x + 3x = 24

6x = 24

x = 24/6

x = 4 length of the first piece

second piece = 2(4) = 8 inches

third piece = 3(4) = 12 inches

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2 years ago

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What is 2/5 times -10

maxonik [38]

Answer:

-4

Step-by-step explanation:

2/5 times -10 = -4

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2 years ago

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Lerok [7]

In a function, the range is the y value or axis. Most points on this graph have a y value of zero, but one has a value of 1.

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2 years ago

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The pharmacist uses 67mg, 100g and 0.6 kg of drug to compound 3 separate precription. how much total drug did the pharmacist use

FromTheMoon [43]

Answer: 700.067 g

Step-by-step explanation:

Given : The pharmacist uses 67mg, 100g and 0.6 kg of drug to compound 3 separate prescription.

We know that 1 gram= 1000 milligram

and 1 kilogram = 1000 grams

Then, By UNITARY METHOD, $\text{1 mg}=\dfrac{1}{1000}\text{ gram}$

Now, We convert each amount of drug into grams as ,

$67\ mg=67\times\dfrac{1}{1000}\ g\\\\=0.067\text{ g}$

AND

$0.6\ kg=0.6\times100=60\text{ g}$

Now, the total drug used by Pharmacist (in grams) = $0.067+100+600=700.067\ g$

Hence, Pharmacist used 700.067 g of total drug.

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2 years ago

Please Help ASAP with Math

vampirchik [111]

Answer:

5.33

Step-by-step explanation:

move the 4 out of the summation because just a constant multiplier

4 *sum from 1 to 10 for (1/4)^(n-1) [sorry i don't know how to write sums using latex)

The formula for the geometric sum is :

First term*(1-multiplier^n)/(1-multiplier), formally $\frac{a_1(1-r^n)}{1-r}$

Here multiplier is 1/4

First term is (1/4)^(1-1) = 1

Thus the value of sum is $1*(1-(1/4)^1^0)/(1-1/4)$ which equals $(1- (1/4)^1^0)*4/3$

We factored out 4 so its $4*(1-(1/4)^1^0)*4/3$ which is $16/3 * (1- (1/4)^1^0)$

This equals 5.333328247 which is 5.33 to the nearest hundredth

5 0

1 year ago