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3 years ago

What are prime numbers

2 answers:

7 0

A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number.

Svet_ta [14]3 years ago

3 0

Any number that has factors of only one and itself. Such as 3,5,7,11 etc.

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Given that 3x+2y=5a+b and 4x-3y=a+7b, solve for y-x in terms of a and b.

Eduardwww [97]

Answer:

y - x = - 2 b

Step-by-step explanation:

Given-

3 x + 2 y = 5 a + b...................(i)

4 x - 3 y = a + 7 b.....................(ii)

Multiply by 3 and 2 in equation (i) & (ii) respectively-

Add equation (iii) & (iv)-

9 x + 6 y = 15 a + 3 a...................(iii)

8 x - 6 y = 2 a + 14 b ...................(iv)

17 x = 17 a + 17 b

x = a + b

Put x = a + b in equation (i)-

2 y = 5 a + b - 3 a - 3 b

2 y = 2 a - 2 b

y = a - b

∴ y - x = a - b - ( a + b )

y - x = a - b - a - b

y - x = - 2 b

3 0

3 years ago

A motor vehicle has a maximum efficiency of 39 mpg at a cruising speed of 40 mph. The efficiency drops at a rate of 0.1 mpg/mph

svp [43]

Answer:

38 mpg

Step-by-step explanation:

Initial efficiency = 39 mpg

Initial speed = 40 mph

Final speed = 50 mph

The efficiency drop between 40 mph and 50 mph is given by:

$E_d = 0.1 \frac{mpg}{mph}*\Delta V$

The total efficiency drop from 40 to 50 mph is:

$E_d = 0.1 \frac{mpg}{mph}*(50-40)mph\\E_d = 1\ mpg$

Therefore, the efficiency at 50 mph is:

$E_{50} = E_{40} -E_d\\E_{50} = 39 -1\\E_{50} = 38\ mpg$

5 0

3 years ago

Solve the proportion for n. 36/8 = n/4

fomenos

Answer:

N = 18

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What is the answer to this math question?

Dvinal [7]

The correct answer is:

C) 40°

4 0

3 years ago

Complete the equation of the graphed linear function in point-slope form.

vazorg [7]

The point-slope form:
$y-y_1=m(x-x_1)$
m - slope
x₁, y₁ - the coordinates of a point

It passes through the points (1,-2) and (2,2).
$(1,-2) \\
x_1=1 \\ y_1=-2 \\ \\
(2,2) \\
x_2=2 \\ y_2=2 \\ \\
m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-(-2)}{2-1}=\frac{2+2}{1}=4$

$\boxed{y-(-2)=4(x-1)}$

3 0

3 years ago