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lord [1]
2 years ago
13

#5: Solve the following equation 60=5r-4r+14 (Show Work Here)

Mathematics
1 answer:
BigorU [14]2 years ago
6 0

Answer:

r = 46  

Step-by-step explanation:

To solve the equation, solve for r by isolating the variable. Whatever you do to one side, do to the other.  

1) First, simplify the right side by combining like terms. Subtract the coefficients of the terms with the same variables. Subtract 5r by 4r.

60 = 5r-4r + 14\\60 = r + 14

2) Now, finally isolate r by subtracting both sides by 14.

60 = r + 14\\46 = r

So, r = 46.

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What is the perimeter of the triangle?
Dennis_Churaev [7]
Answer:

The perimeter will be 30

Step-by-step explanation:

Perimeter = all side lengths added

Step 1. Determine the length of the triangle

Answer: 5

Step 2. Determine the width of the triangle

Answer: 12

Step 3. Determine the diagonal line across the triangle

Answer + explanation:

For it to figure it out, we must use this method called Pythagorean Theorem

Pythagorean Theorem: a^2 + b^2 = c^2

Where a = 12 b = 5 and c = the diagonal line

12^2 + 5^2 = c^2

144 + 25 = c^2

c^2 = 169

c = 13

The diagonal line measures 13 units

Step 4. Add all of the dimensions we just reviewed

Answer:

Length = 5

Width = 12

Diagonal line = 13

5 + 12 + 13 = perimeter

perimeter = 30

Therefore, the perimeter is 30


5 0
2 years ago
Let W (a) = a^3- a^2 Find W (2)
grin007 [14]

Answer:

4

Step-by-step explanation:

plug in 2 for the a variables and you get 4 as the answer.

8 0
3 years ago
3/4 W + 8 = 1/3 w – 7
Montano1993 [528]

Answer:

<h2>W = -36</h2>

Step-by-step explanation:

\dfrac{3}{4}W+8=\dfrac{1}{3}W-7\qquad\text{subtract 8 from both sides}\\\\\dfrac{3}{4}W+8-8=\dfrac{1}{3}W-7-8\\\\\dfrac{3}{4}W=\dfrac{1}{3}W-15\qquad\text{multiply both sides by}\ LCM(4,\ 3)=12\\\\12\!\!\!\!\!\diagup^3\cdot\dfrac{3}{4\!\!\!\!\diagup_1}W=12\!\!\!\!\!\diagup^4\cdot\dfrac{1}{3\!\!\!\!\diagup_1}W-(12)(15)\\\\(3)(3W)=(4)(1W)-180\\\\9W=4W-180\qquad\text{subtract}\ 4W\ \text{from both sides}\\\\9W-4W=4W-4W-180\\\\5W=-180\qquad\text{divide both sides by 5}\\\\\dfrac{5W}{5}=\dfrac{-180}{5}\\\\W=-36

7 0
3 years ago
The perimeter of a rectangle is 54 meters. One side is three meters less than four times the length of the other side. Find the
Elenna [48]

Answer:

6 and 21 meters long

Step-by-step explanation:

You make an equation from what you got (there are 2 widths and 2 lengths)

2(4w-3)+2w=54---->10w-6=54---> 10w=60 ----> w=6 ---> plug in the rest and you get 21 as the length.

or... make W+L=28 and guess and check!!! takes longer but works!

7 0
3 years ago
Which statement is best supported by the dot plot? Choose ONE and explain your
natima [27]

Answer:

The first statement.

Step-by-step explanation:

Because when you look at the July graph you can see that the highest number of miles is 15 and the lowest number of miles is 1 so the range is 15 - 1 = 14.

When you look at the August graph you can see that the highest number of miles is 13 and the lowest number of miles is 5 so the range is 13 - 5 = 8

So the range of the July month is greater than the range of the August month

4 0
2 years ago
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