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alex41 [277]
3 years ago
14

Solve this 6r+7=13+7r

Mathematics
2 answers:
Arisa [49]3 years ago
6 0
  6r + 7 = 13 + 7r
<u>- 6r                - 6r</u>
         7 = 13 + r
    <u>- 13  - 13       </u>
       -6 = r
alex41 [277]3 years ago
3 0
Let's move all to one side:

6r+7-13-7r=0

and re-arrange  to have similar terms together:
6r-7r +7-13=0

let's add up what we can:

-1r-6=0
we can move the -6 to the other side and multiply both sides by -1 and we get:
r=-6 This is the<em> solution.  </em>


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If frank runs 55 feet on 10 seconds, at this rate how many feet will he run in 25 seconds
adoni [48]

Answer:

He can run 137.5 ft

Step-by-step explanation:

We can use a proportion to solve

55 ft               x ft

--------------- = -----------------

10 seconds        25 seconds

55 *25 = x*10

1375 = 10x

Divide each side by 10

1375/10 = 10x/10

137.5 = x

He can run 137.5 ft

7 0
3 years ago
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HELPP asap I give BRAINLEST asap HELPPP RN J NEED THIS IN 5 minutes
jarptica [38.1K]

Answer:

4:7

scored=12

attempt=21

12:21=4:7

8 0
2 years ago
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NEED HELP
Zina [86]

Answer:

\displaystyle \frac{1}{2}(x^3-2x^2-5x+6)

Step-by-step explanation:

<u>Polynomials </u>

a)

The polynomial whose graph is shown is of third degree because it has three real roots. The roots of a polynomial are the values of x that make the expression equal to zero. We can see it happens three times in the graph provided. The roots or zeros are  

x=-2, x=1, x=3

b)

The factored form of a polynomial whose roots x_1, x_2, x_3 are known is

a(x-x_1)(x-x_2)(x-x_3)

We know the value of the roots, thus the polynomial is written as

a(x+2)(x-1)(x-3)

We need to find the value of a. We do that by replacing the value of x=0 and finding a that makes f(0)=3 (as seen in the graph). Thus

a(0+2)(0-1)(0-3)=3

a(2)(-1)(-3)=3

a(6)=3

\displaystyle a=\frac{3}{6}

\displaystyle a=\frac{1}{2}

Thus the factored form of the polynomial is

\displaystyle \frac{1}{2}(x+2)(x-1)(x-3)

c)

Let's multiply all the factors

\displaystyle \frac{1}{2}(x+2)(x-1)(x-3)

\displaystyle \frac{1}{2}(x^2+2x-x-2)(x-3)

\displaystyle \frac{1}{2}(x^2+x-2)(x-3)

\displaystyle \frac{1}{2}(x^3-3x^2+x^2-3x-2x+6)

\boxed{ \displaystyle \frac{1}{2}(x^3-2x^2-5x+6)}

7 0
4 years ago
A rectangular parking lot at the megamall is 7/10 mile long and 1/4 mile wide. How much fencing is needed to enclose the lot?
iris [78.8K]
Greetings!

"<span>A rectangular parking lot at the mega-mall is 7/10 mile long and 1/4 mile wide. How much fencing is needed to enclose the lot?"...

This question is essentially asking to solve for the perimeter. The formula for the perimeter of a rectangle is: 
</span>2(l+w)

Input the information we already know:
2(7/10+1/4)
Find A common denominator.
2(14/20+5/20)
Simplify.
2(19/20)
2/1(19/20)
38/20
Reduce to Lowest Terms.
=19/10
or
=1 9/10

1 9/10 miles of fencing will be required to enclose the entire lot.

Hope this helps.
-Benjamin
5 0
4 years ago
What is the mean of the data set<br><br> 4,10,2,6,8,9,1,6
rusak2 [61]

Answer: 5.75

<u>Order the numbers</u>

Before: 4,10,2,6,8,9,1,6

After: 1, 2, 4, 6, 6, 8, 9, 10

<u>Add</u>

1+2+4+6+6+8+9+10=46

<u>Divide</u>

46÷8=5.75

8 0
3 years ago
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