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Leno4ka [110]
2 years ago
11

M/5=3(2m+1) verbal expression

Mathematics
1 answer:
nevsk [136]2 years ago
6 0

Answer:

m = -15/29

Step-by-step explanation:

1) Distribute

\frac{m}{5} =6m+3

2) Subtract 6m from both sides of the equation

\frac{m}{5} -6m=6m+3-6m

3) Simplify

a. Find common denominator

\frac{m}{5} +\frac{5(-6)m}{5} =6m+3-6m

b. Combine fractions with common denominator

\frac{m+5(-6)m}{5} =6m+3-6m

c. Multiply the numbers

\frac{m-30m}{5} =6m+3-6m

d. Combine like terms

\frac{-29m}{5} =6m+3-6m

e. Combine like terms

\frac{-29m}{5} =3

4) Multiply all terms by the same value to eliminate fraction denominators

5 *\frac{-29m}{5} =5*3

5) Cancel multiplied terms that are in the denominator

-29m=5*3

6) Multiply the numbers

-29m=15

7) Divide both sides of the equation by the same term

\frac{-29m}{29} =\frac{15}{-29}

8) Simplify

a. Cancel terms that are in both the numerator and denominator

m=\frac{15}{-29}

b. Divide the numbers

m=-\frac{15}{29}

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Consider a circle whose size can vary. Let r represent the radius of the circle (in cm) and let C represent the circumference of
Firdavs [7]

Answer:

g (15) represents the radius (in cm) of a circle whose circumference is 15 cm

if g (a) = 15, then a represents the circumference (in cm) of a circle whose radius is 15cm

Step-by-step explanation:

In a circle the following relationship can be posed:

C = 2 \pi r

Let g be a function that determines the radius of the circle from the value of its circumference, so, you have:

g (C) =\frac{C}{2\pi}

Thus, g (15) represents the radius (in cm) of a circle whose circumference is 15 cm. You have to g (15) =\frac{15}{2\pi}.

On the other hand, if g (a) = 15, then a represents the circumference (in cm) of a circle whose radius is 15cm. You have to a=2 \pi(15) = 30 \pi

4 0
3 years ago
Pls help is due for today pls
pentagon [3]

Answer:

Part A: The rate of change was greater in case of the graph.

Part B: The figure shows the graph of function A in Redline and Function B in blue line

Part C : Initial value of function B is greater than Function A.

Step-by-step explanation:

Here, Function A show graph of a line and Function show table show a set of value of x and y.

Part A). Which function show greater rate of change.

The slope of line is given by m = \frac{Y2-Y1}{X2-X1}

For function A:

Given graph passes through points (04) and (2,12)

The slope of line is m=\frac{12-4}{2-0}

                                   =\frac{8}{2}

                                   = 4

For function B:

Given the table has points (012) and (2,14)

The slope of line is m=\frac{14-12}{2-0}

                                   =\frac{2}{2}

                                   = 1

Therefore, The rate of change was greater in case of graph.

Part B). Plot the graph of a function B onto the graph of a function A

The figure shows the graph of function A in Redline and Function B in blueline

Line of function A is more tilted toward the y-axis than Line of function B.

Therefore, Rate of change of function A is greater than Function B.

Part C). Which function has greater initial value?

For function A:

From the graph of part B,

When x=0 y=4

For function B:

From the graph of part B,

When x=0 y=12

Therefore, Initial value of function B is greater than Function A.

5 0
3 years ago
11. Robert photographs a lush forest of sea fans after diving 40 feet in the Reefs of
hichkok12 [17]
Sea level is 0

robert dives 40 ft.....-40
he then rises 23 ft.....-40 + 23 = -17
he then dives 19 ft to meet Sam....-17 - 19 = -36
together they rise 31 ft...-36 + 31 = - 5

they are 5 ft below sea level <==
8 0
2 years ago
I need help I do not understand this it's due tomorrow
Goshia [24]
I'll help you out with 3 questions.
For #1, you kind of figured it out yourself
That 90 degree angle on paper means that m/1 and m/2 make up 90
If m1 is 50, then just subtract m1 (50) from 90, making it 40. m/2 is 40

If Angle M4 is 45 degrees then angle M3 is 180-45 since they both make up a 180 degree angle.

There are 180 degrees in a triangle
If m 8 = 78
and m 9 = 60 
m 10 is 180 - 78 - 60


8 0
2 years ago
Can someone help me pls
lora16 [44]

Answer:

No solution

Step-by-step explanation:

A solution for a system of equations entails that all variables are the same. In this case, it means that both x and y must be the same.

Looking at the graph, there is no spot where y=3x+3 and 3x-y=2 intersect

To confirm, we can look at the equations. If we make them both equal to y, we can set them equal to each other.

For y=3x+3, this is already set to y. For 3x-y=2, we can add y to both sides and subtract 2 from both sides to get

3x-2=y

3x+3=y

Since the x and y values must be the same, we can say that

3x-2=3x+3

subtract 3x from both sides

-2 = 3

Since -2 is not equal to 3, we can confirm that there are no solutions to this system of equations

6 0
2 years ago
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