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tatuchka [14]
3 years ago
13

Find the fraction and the ratio of No. Of prime numbers to the numbers up to 50

Mathematics
1 answer:
dangina [55]3 years ago
5 0

Answer:

3/ 10

Step-by-step explanation:

Count of numbers up to 50 = 50

Prime numbers up to 50 :

{2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47}

Count of prime numbers up to 50 = 15

Hence, ratio of prime numbers to all numbers ;

15 : 50

3 / 10

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Given f(x) = the quantity of 2x minus 2 divided by 4, solve for f−1(3).
spin [16.1K]
Given: f(x)=(2x-2)/4
find f^-1(3)?
we need to find the inverse of f(x), so
x=(2y-2)/4
2y-2=4x
y-1=2x
y=2x+1
so, then f^-1(x)=2x+1
f^-1(3)=2(3)+1
=6+1
=7
so, the answer is 7

6 0
3 years ago
A van and a truck both drove from Town A to Town B. The distance
Gala2k [10]
First we need to find out the time it took for the truck to reach town B.

Speed= \frac{Distance}{Time}

40= \frac{200}{T}
T=5hours

Now, because the van left 1.5 hours earlier and reached the destination 2.5 hours before, it took 1 hour less the the truck to arrive.

5hours-1hour=4hours which is the time it took for the van to arrive.

Now we use the speed equation again to work out speed.

Speed= \frac{200}{4}

Speed=50mph = speed of van

Hope this helped :)

4 0
3 years ago
Which of the following points is a solution of the system shown? x + y ≥ 6 x ≥ 4 a.(-1, 7) b.(4, -2) c.(4, 2)
Kobotan [32]
I know none of these are actually the answer but odysseyware gave me credit for
(4,2)
8 0
3 years ago
Read 2 more answers
Write y=2(x + 6)(x + 3) in standard form
Volgvan

Answer:

y = 2x² + 18x + 36

Step-by-step explanation:

Given

y = 2(x + 6)(x + 3) ← expand the factors using FOIL

y = 2(x² + 9x + 18) ← distribute parenthesis by 2

  = 2x² + 18x + 36 ← in standard form

6 0
3 years ago
Determine if y varies directly with x. Give the constant of variation, when appropriate. (picture below)
maxonik [38]

Based on the given variation, y does not vary directly with x and the constant of variation are 8, 3.2 and 1.25 respectively.

<h3>Variation</h3>

y = k × x

where,

k = constant of proportionality

y = -40

x = -5

y = k × x

-40 = k × -5

-40 = -5k

k = -40/-5

k = 8

when,

y = 8 and x = 2.5

y = k × x

8 = k × 2.5

8 = 2.5k

k = 8/2.5

k = 3.2

when,

y = 5 and x = 4

y = k × x

5 = k × 4

5 = 4k

k = 5/4

k = 1.25

Learn more about variation:

brainly.com/question/6499629

#SPJ1

5 0
2 years ago
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