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irinina [24]
2 years ago
9

a pharmacist mixes 5g of a powder with 45cm³ of water to make a prescription medicine. how much powder should she mix with 81cm²

of water to make a larger amount of the same medicine?​
Mathematics
1 answer:
den301095 [7]2 years ago
6 0

Answer:

She should mix 9 g of powder

Step-by-step explanation:

From the question, we can have a ratio for powder to water

we have 5 g of powder mixed with 45 cm^3 of water

So, for every 1 g, we have 5g/45 cm^3

we have 9 cm^3

So let’s relate this to the bigger water mix

Recall from above; we have the mixing as 1 g per 9 cm^2 of water

1g per 9 cm^2

x g per 81 cm^2

81 * 1 = x * 9

9x = 81

x = 81/9

x = 9g

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Q: Buy one, get the second half price!<br>Find the percentage reduction of this special offer.​
Oliga [24]

Answer:

get 1 … what? free? half-price? something else?

Let x= price of 1 item

Then 3x= price of 3 items

Buy 2 , get 1 free

Total cost =2x

Discount =3x−2x=x

Discount percentage =x/(3x)=0.333…=3313%

Buy 2 , get 1 half price

Total cost =2x+0.5x=2.5x

Discount =3x−2.5x=0.5x

Discount percentage =0.5x/(3x)=0.1666…=1623%

8 0
3 years ago
Which of the following expressions is equal to -x2 - 36?
Alenkinab [10]
A
when you break the equation down, you want to make sure it still will have the same signs. so, if you have a -2x then you r going to have one with a -x and one with a +x and to make the 36 negative you have to have one with a -6 and one with a +6
6 0
3 years ago
A fisherman yanks a fish vertically out of the water with an acceleration of 2.5! !! using very light fishing line that has a br
Artyom0805 [142]

Two forces act on the fish, and these are:


1) Its weight mg, downwards and 


2) pressure in the string, T, upwards which is 22 N when the string breaks. 
In the result of these two forces, the fish had an acceleration of 2.5 m/s^2 in the upward way. 


So, T - mg = m*2.5


=> m = T / (2.5 + g)


=> m > 22 / (2.5 + 9.8) ( when the string snaps ) 


=> m > 1.79 kg. 


As a result, the mass of the fish is more than 1.79 kg as the line has been broken.

6 0
3 years ago
What is 7P4<br><br><br><br> A: 28<br><br> B: 35<br><br> C: 210<br><br> D: 840
Semmy [17]

Answer:

D

Step-by-step explanation:

using the definition of nP_{r} = \frac{n!}{(n-r)!}

where n! = n(n- 1)(n - 2)......× 3 × 2 × 1

here n = 7 and r = 4, hence

7P_{4}

= \frac{7!}{3!}

= \frac{7(6)(5)(4)(3)(2)(1)}{3(2)(1)} ← cancel 3 × 2 × 1 leaving

7P_{4} = 7 × 6 × 5 × 4 = 840 → D


4 0
3 years ago
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A, they are vertical angels! they have the same measure!
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3 years ago
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