Why Does Mathematics Use Letters?

Answer:

m= -12

Step-by-step explanation:

-15m-30=-12m+6

-3m=36

m=-12

Answer:

m = -12

Step-by-step explanation:

Simplify the Left Hand Side:

[tex]-5\left(3m+6\right) = -5\cdot \:3m+\left(-5\right)\cdot \:6[/tex]

[tex]=-15m-30[/tex]

Simplify the Right Hand Side:

[tex]-3\left(4m-2\right)=-3\cdot \:4m-\left(-3\right)\cdot \:2[/tex]

[tex]=-3\cdot \:4m+3\cdot \:2[/tex]

[tex]= -12m+6[/tex]

All together we have:

[tex]-15m-30=-12m+6[/tex]

Add 30 to both sides and simplify:

[tex]-15m-30+30=-12m+6+30[/tex]

[tex]-15m=-12m+36[/tex]

Add 12m to both sides and simplify:

[tex]-15m+12m=-12m+36+12m[/tex]

[tex]-3m=36[/tex]

Finally, we divide both sides by -3:

[tex]\frac{-3m}{-3}=\frac{36}{-3}[/tex]

And we get the answer

m = -12

Answer:c

Step-by-step explanation:

Answer: [tex]\dfrac89[/tex] cups of fertilizer is required for 3 bags of soil.

Step-by-step explanation:

Given: For every 9 bags of soil, the number of cups of fertilizers required = [tex]2\dfrac{2}{3}[/tex]

Quantity of fertilizer is proportional to the quantity of soil.

Let x be the number of cup of fertilizer required for 3 bags of soil, then

[tex]\dfrac{x}{3}=\dfrac{2\frac23}{9}\\\\\Rightarrow\ \dfrac{x}{3}=\dfrac{\dfrac83}{9}\\\\\Rightarrow\ x=\dfrac{8}{3\times9}\times3\\\\\Rightarrow\ x=\dfrac89[/tex]

Hence, [tex]\dfrac89[/tex] cups of fertilizer is required for 3 bags of soil.

Answer:

it should be -9 -5 hope this helpes i love this question its so easy to do but i dunno how to explain sorry if its wrong

Answer:

its 7/8

Step-by-step explanation:

Answer:

7/8

Step-by-step explanation:

Answer:

0. 33 por que los jamones sivieron a 15 pesos y mi mama se va asta otro lado para compralo

(x - 5)2 = 3

2x - 10 = 3

2x -10 + 10 = 3 + 10

2x = 13

2x/2 = 13/2

x = 6.5

Answer: x = 6.5

Hope this helps!!!

Answer:

x = 6.5

Step-by-step explanation:

6.5 - 5 = 1.5

1.5(2) = 3

Answer:

The point (4,3) is not the solution of y ≤ -2x -5

Step-by-step explanation:

We need to tell whether (4, 3) is a solution of y ≤ -2x -5

To check if (4,3) is solution of y ≤ -2x-5 we will put the values of x and y and check if the inequality hold true or not.

Now put x = 4 and y = 3

y ≤ -2x -5

3 ≤ -2(4) -5

3 ≤ -8-5

3 ≤ -13 (False)

As 3 is not less than -13 so, inequality doesn't hold true.

Therefore the point (4,3) is not the solution of y ≤ -2x -5

Answer:

ggg

Step-by-step explanation:

Answer: Everyone learns about Martin Luther King Jr. He is famous in history books, most especially for his “I Have a Dream” speech that inspired millions worldwide. He spoke to the entire nation about freedom, equality, and peace for all. He was participation in his community and doing what was right for him and all his community. Participating in service projects is a great idea to honor his dream and his memory. Even thought it’s not was comes first to mind when thinking about community service projects, it is an amazing way to honor an amazing man who changed the future for the better.

Step-by-step explanation:

Answer:

100 + 4 = 104%

40/100 X 104 = 41.6

total cost: $41.60

sales tax: $1.60

Answer:

Tax: $1.6

Total cost: $41.6

Step-by-step explanation:

40*0.04 = 1.6, 40 + 1.6 = 41.6

Answer:

[tex]4r^{2}-18r+3[/tex]

Step-by-step explanation:

Answer:

0.0875

Step-by-step explanation:

Multiply first then you would wanna add but you can't until you subtract 5-3 then add I got 12

Answer:7+2/

Step-by-step explanation:

Answer:

x= 14/15

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2x−13−3x4=562x+−13+−34x=56(2x+−34x)+(−13)=56

(Combine Like Terms)

54x+−13=5654x+−13=56

Step 2: Add 1/3 to both sides.

54x+−13+13=56+1354x=76

Step 3: Multiply both sides by 4/5.

(45)*(54X)=(45)*(76)x

=14/15

Answer:

Step-by-step explanation:

Corresponding angles of both the squares are congruent. (angles of a square measure 90°)

Ratio of the sides of the given squares = [tex]\frac{\text{Side length of small square}}{\text{Side length of the large square}}[/tex]

                                                                 = [tex]\frac{2}{5}[/tex]

This ratio of side lengths is constant for all corresponding sides.

Therefore, corresponding sides are proportional.

Since, all angles of both the squares are congruent and all the sides are proportional, both the squares will be similar.

Scale factor = [tex]\frac{\text{Side length of large square}}{\text{Side length of the smaller square}}[/tex]

                    = [tex]\frac{5}{2}[/tex]

                    = 2.5

This sequence of similarity transformations shows the figures are similar.

Answer:

All you need to do is find the smallest numbers and put the 2 letters together.  In did this in 4th grade

Step-by-step explanation:

Answer:

(m⁴-n⁴)

(m²+n²)(m²-n²)

(m²+n²)(m+n)(m-n)

Answer:

7

15

17

23

Step-by-step explanation:

Answer:

$3.10

Step-by-step explanation:

5.50 - 1.25 - 1.15 = 3.1

You would have 3 dollars and ten cents left over.

Answer:

2.6

Step-by-step explanation:

Answer:

28%

Step-by-step explanation:

In the function the .72 means that each unit of time 72% of the value is retained. This means that 28% percent of the value is lost or decays because 1-0.72=0.28 or 28 percent.

Answer:

480 yd^3

Step-by-step explanation:

I might be wrong but i think you just multiply them all

Answer:

D

Step-by-step explanation:

Angle 5 is equal to angle 8 because the two angles are an alternate interior angle. We already know that angle 7 and 8 are supplementary because it's adjacent to each other on a straight line. So, since angle 5 and 8 is equal to each other, angle 5 is also supplementary to angle 7.

Answer:

Step-by-step explanation:

Seven less than the product of a number n and 1/6 is no more than 94, translating:

Solving for n:

Answer:

y=-1+2

y=1

y=0+2

y=2

y=1+2

y=3

y=2+2

y=4

I hope this helps:

Answer: 10 m/s^2

the formula for acceleration is a = f/m

100/10 = 10