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Damm [24]
3 years ago
9

When he was measuring herbs on his balance scale, Neville placed a 1/2 gram weight, then a 1/5 gram weight, and finally a 1/8 gr

am weight before the scale balanced. How much did his herbs weigh?
Mathematics
1 answer:
Delvig [45]3 years ago
8 0

Answer:  \dfrac{33}{40}\ gm

Step-by-step explanation:

Given

Neville place three weights in the sequence

\dfrac{1}{2}\ gm,\dfrac{1}{5}\ gm,\dfrac{1}{8}\ gm

The total weight of the three weights is

\Rightarrow \dfrac{1}{2}+\dfrac{1}{5}+\dfrac{1}{8}=\dfrac{20+8+5}{40}\\\\\Rightarrow \dfrac{33}{40}\ gm

Thus, herbs weigh  \frac{33}{40}\ gm

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Erwan accelerates his car at 3 km/h per second while overtake a lorry. If he drives with a speed of 90 km/h, calculate his speed
Luba_88 [7]

3 km / h every second for 10 seconds = 30 km / hr

90 + 30 = 120 km / hr

8 0
3 years ago
The marginal cost of drilling an oil well depends on the depth at which you are drilling; drilling becomes more expensive, per m
sukhopar [10]

Answer:

4,250,000 riyals

Step-by-step explanation:

The total cost of drilling a 500-meter well is the sum of fixed costs (1,000,000 riyals) and variable costs.

By integrating the marginal cost function we get the variable costs function. Evaluating the variable costs function from 0 to 500 meters, gives us the total variable cost.

C(x) =\int\limits^{500}_0 {C(x')} \, dx  =\int\limits^{500}_0 {(4000 + 10x)} \, dx \\C(x)=4000x +5x^2 +c|^{500}_0\\C(500) - C(0) = (4000*500 +5*500^2 +c) - (4000*0 +5*0^2 +c)\\C(500) - C(0) = 3,250,000

Total cost of drilling is:

TC = 3,250,000 + 1,000,000\\TC = 4,250,000\ riyals

4 0
3 years ago
How do I find miles per hour from 2 fractions? For Example: If I ran for 1/2 miles when It lasted 1/3 of an hour. Would It be 1/
ale4655 [162]

Answer:

3/2 miles per hour

Step-by-step explanation:

How do I find miles per hour from 2 fractions? For Example: If I ran for 1/2 miles when It lasted 1/3 of an hour. Would It be 1/6?

Given data

distance= 1/2 miles

time= 1/3 hour

Speed= distance/time

Substitute

Speed= 1/2/1/3

Speed= 1/2*3/1

Speed= 3/2 miles per hour

3 0
3 years ago
Need help ASAP please
KiRa [710]

Answer:

6 minutes

Step-by-step explanation:

6.77-1.25=5.52

5.52/.92= 6

6 0
3 years ago
Read 2 more answers
How is a corollary related to a theorem.
Serjik [45]
A statement that follows with little or no proof required from an already proven statement. For example, it is a theorem<span> in geometry that the angles opposite two congruent sides of a triangle are also congruent. A </span>corollary<span> to that statement is that an equilateral triangle is also equiangular</span>
6 0
3 years ago
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