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Daniel [21]
3 years ago
15

F is directly proportional to a.If F = 42 when a 7 finda when F = 18​

Mathematics
2 answers:
horrorfan [7]3 years ago
7 0

Answer:

a=3

Step-by-step explanation:

The formula for direct proportion is

f = ka

Let f= 42 and a = 7

42 = k*7

Divide each side by 7

42/7 = k7/7

6 =k

f = 6a

Let f = 18

18 = 6a

Divide each side by 6

18/6 = 6a/6

3 =a

crimeas [40]3 years ago
4 0

Answer:

a = 3

Step-by-step explanation:

Given that F is directly proportional to a, then the equation relating them is

F = ka ← k is the constant of proportion

To find k use the condition F = 42 when a = 7, thus

42 = 7k ( divide both sides by 7 )

6 = k

F = 6a ← equation of proportion

When F = 18, then

18 = 6a ( divide both sides by 6 )

3 = a

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What is slope-intercept form of a line that passes through points (2,11) and (4,17)?​
kramer

Answer:

y = 3x + 5

Step-by-step explanation:

Okay, so first we do the equation for rise over run which is y2 - y1/ x2 - x1

so plug the numbers 11 - 17/ 4 - 2 getting the slope -3, now since we found the slope we need to find the intercept form, what you have to do now is plug in a coordinate from the x value and y value one of the pairs essentially so,

y = 3x + b, I chose your first pair

11 = 3 x 2 + b

equals to,

11 = 6 + b

now we want b, by itself.

5 = b

so the total intercept form answer is

y = 3x + 5

I will check over it,

11 = 3 x 2 + 5

11 = 11

I hope this helped!

6 0
3 years ago
If 35 gms of pure drug are contained in 150 mls, how many grams are contained in 75 mls?
Leviafan [203]

Answer:

17.5

Step-by-step explanation:

The ratio of "pure drug" to liquid is 35:150

Therefore to evaluate for 75 mls we get the ratio 75/2150 or simply 1/2

we can then multiply 35 by the ratio 1/2

35/2=17.5

State the answer

In 75 mls there are 17.5 grams of pure drug

8 0
3 years ago
What is 1 1/4 × 4 3/4 =
Luden [163]
First, we need to turn this into an improper fraction. Therefore we have: 1 1/4 = 5/4 and 4 3/4 = 19/4
Now we multiply across and eliminate as needed.
5/4 * 19/4 = 95/16
Finally, we reduce and convert to a mixed fraction.
16 goes into 95, 5 times with a remainder of 15. Therefore, we can conclude that our answer is: 5 15/16.
4 0
3 years ago
Use the properties of operations to write an<br> expression equivalent to:<br> 4x + 1/2 + 2x - 3
NikAS [45]

Answer:

6x * 1/2 - 3 (* means multiplying)

Step-by-step explanation:

In this problem, you are using communitive property and so you are just changing the problem to an equal situation.

4 0
2 years ago
Read 2 more answers
Please solve the problem below.
Liono4ka [1.6K]

Answer:

?=14

Step-by-step explanation:

12+5=17

8+8=16

8+4х8=40

4+6х4=28

9-5=4

9-12+5+8+4=14

5 0
3 years ago
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