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2 years ago

What is the product in the expression 30m= n+58?

Mathematics

2 answers:

kolezko [41]2 years ago

5 0

Answer:

if solving for m it is m= n+58/30

if solving for n it is n= 30m-58

Step-by-step explanation:

for m- divide both sides by 30 but keep it in fraction form for n+58

for n- subtract 58 from both sides to make it n=30m-58

insens350 [35]2 years ago

3 0

Answer: m=1/30n+29/15

Step-by-step explanation:

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The sum of two positive integers, x and y, is not more than 40. The difference of the two integers is at least 20. Chaneece choo

Butoxors [25]

Answer:

The value of x lies between 20 and 40 and value of y lies between -20 and 10

Step-by-step explanation:

We are given that

$y\leq 40-x$ ....(1)

$y\leq x-20$ ...(2)

First we convert inequality equation into equality equation to find the solution of the given system of inequality equation.

Therefore, we can write as

$y=-x+40$ ...(3)

$y=x-20$ ...(4)

Adding equation (3) and (4) we get

$2y=20$

$y=10$

Substitute y=10 in equation (3) we get

$10=40-x$

$x=40-10=30$

(30,10) is the intersect point of two equation.

Put x=0 in equation (3)

$y=40$

Substitute y=0 in equation (3)

$x=40$

Substitute x=0 in equation (4)

$y=-20$

Substitute y=0 in equation (4)

$x=20$

Substitute x=0 and y=40 and in equation (1)

$40\leq 40$

Hence, the equation is true.Therefore, the shaded region below the line.

Substitute x=0 and y=-20 in equation (2)

$-20\leq -20$

The equation is true. Hence, the shaded region is below the line.

Hence, the value of x lies between 20 and 40 and value of y lies between -20 and 10.

5 0

2 years ago

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Round to the nearest whole number: 123.45

koban [17]

Answer:

123

Step-by-step explanation:

because if its lower than 50 you round down, if its 50 or above you round up

8 0

2 years ago

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A new building in the shape of a square pyramid is to be constructed. The slant height will be five times the side length of the

Temka [501]

The area of the square pyramid building is the amount of space on it

The maximum base length of the building is 67.42 cm

<h3>How to determine the maximum side length?</h3>

The given parameters are:

Base = b

Slant height (l) = 5b

The lateral surface area is calculated using:

L = 2bl

So, we have:

L = 2 * b * 5b

Evaluate the product

L = 10b^2

The total surface area is calculated using:

T = L + b^2

So, we have:

T = 10b^2 + b^2

Evaluate the sum

T = 11b^2

The maximum surface area is 50,000 square feet

So, we have:

11b^2 = 50000

Divide both sides by 11

b^2 = 50000/11

Take the square root of both sides

b = 67.42

Hence, the maximum base length of the building is 67.42 cm