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MA_775_DIABLO [31]
2 years ago
12

5.   A druggist is preparing a medication. Each capsule requires 0.007 gram of aspirin. He has 14 grams of aspirin. How many cap

sules can he prepare? 
    A. 5,000B. 200C. 2,000D. 500
Mathematics
1 answer:
brilliants [131]2 years ago
8 0
If every capsule requires 0.007 grams of aspirin, and the druggist has 14 grams, the best way to determine how many capsules he has is to divide 14 grams by 0.007 \frac{14}{0.007}=2000. This means that he can make C. 2,000 capsules
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Gre4nikov [31]
It’s 4.08x10 to the 6 power. Which is answer A
6 0
3 years ago
Help me asap! I will give you marks
Law Incorporation [45]

Recall the binomial theorem.

(a+b)^n = \displaystyle \sum_{k=0}^n \binom nk a^{n-k} b^k

1. The binomial expansion of \left(1+\frac x3\right)^7 is

\left(1 + \dfrac x3\right)^7 = \displaystyle\sum_{k=0}^7 \binom 7k 1^{7-k} \left(\frac x3\right)^k = \sum_{k=0}^7 \binom 7k \frac{x^k}{3^k}

Observe that

k = 1 \implies \dbinom 71 \left(\dfrac x3\right)^1 = \dfrac73 x

k = 2 \implies \dbinom 72 \left(\dfrac x3\right)^2 = \dfrac73 x^2

When we multiply these by 8-9x,

• 8 and \frac73 x^2 combine to make \frac{56}3 x^2

• -9x and \frac73 x combine to make -\frac{63}3 x^2 = -21x^2

and the sum of these terms is

\dfrac{56}3 x^2 - 21x^2 = \boxed{-\dfrac73 x^2}

2. The binomial expansion is

\left(2a - \dfrac b2\right)^8 = \displaystyle \sum_{k=0}^8 \binom 8k (2a)^{8-k} \left(-\frac b2\right)^k = \sum_{k=0}^8 \binom 8k 2^{8-2k} a^{8-k} b^k

We get the a^6b^2 term when k=2 :

k=2 \implies \dbinom 82 2^{8-2\cdot2} a^{8-2} b^2 = 28 \cdot2^4 a^6 b^2 = \boxed{448} \, a^6b^2

6 0
1 year ago
Elijah made 14 quarts of punch for a party. How many gallons of punch did he make?
DochEvi [55]

Answer:

3.5 gallons of punch

Step-by-step explanation:

There are 4 quarts in 1 gallon.

Set up equation to convert 14 quarts to gallons: 14÷4 = 3.5.

Elijah made 3.5 gallons of punch.

8 0
1 year ago
What is - 1/6 + (-7/4) this is 7th gradr math
DedPeter [7]

Hello Bubbleshi !

The first step you need to do is get everything in like terms.

- 1/6 and - 7 /4

Look at the denominator (number on the bottom)

6 and 4 go into 12, so lets check that out.

-1/6 , how can we get 12 from the denominator? Multiply it by 2.

So you multiply both the numerator (number on the top) and the denominator.

-1/6 becomes -2/12.

With -7/4, you want to get the 4 as a 12 (like terms!) so once again you multiply it by 3, and multiply the numerator as well.


-7/4 becomes -21/12.

-2/12 + (-21/12) is your final form of the problem.

You add -2 and -21 in the numerator, which is -23.

So its -23/12 which is your final answer.

Let me know if you need any more help!

8 0
3 years ago
A server worked a shift where he served 13 entrees, 8 appetizers, and 6 desserts . What percentage of his servings were
ryzh [129]

Answer:

entrees 48% appetizers 30% desserts 22%

Step-by-step explanation:

18+8+6=27

13/27

8/27

6/27

6 0
3 years ago
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