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bogdanovich [222]
2 years ago
12

Solve for x or find x ​

Mathematics
1 answer:
Varvara68 [4.7K]2 years ago
3 0
X=9
Prove
9+27=36
4(9)=36
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Table show step by step how do you simplify the algebraic expression 3(x-5)+4x. <br>Justify step 4​
ale4655 [162]
<h3>Answer: Commutative Property (choice C)</h3>

===================================================

Explanation:

Here are all of the justifications for each step

  • Step 1. None needed. This is the original expression
  • Step 2. Distributive property
  • Step 3. Multiply  (the 3 and 5 multiply to 15)
  • Step 4. Commutative property. Specifically, this is the commutative property of addition which allows us to add any two numbers in any order we want. In this case, the  -15 and 4x terms swap places.
  • Step 5. Associative property. The parenthesis group the first two terms away from the third term.
  • Step 6. Combine like terms. Both 3x and 4x have an x only so they are like terms that combine to 7x. You can think of it as 3+4 = 7, then you just tack an x onto everything to get 3x+4x = 7x.
6 0
3 years ago
Over a three-day weekend, a rental car agency charges $65 to rent a car plus $0.30 for each mile traveled. If y represents the t
raketka [301]
I believe it would be y = $0.30x + $65
5 0
3 years ago
Read 2 more answers
Taylor baked a cake. Suppose she cut the cake into 8 equal size pieces and 6 people ate all the pieces. Explain how they could h
Karolina [17]
She could've cut the cake into 6 pieces so everyone could have an equal slice of cake or she could've cut it into 12 pieces and everyone could have 2 pieces each equally 

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5 0
3 years ago
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
Alekssandra [29.7K]

In the given figure we can determine the coordinate of point M from the graph, we get:

M=(\frac{d}{2},\frac{c}{2})

We can also determine the coordinates of point N as:

N=(\frac{a+b}{2},\frac{c}{2})

Now, to determine the length of segment MN, we need to subtract the x-coordinate of M from the coordinates of N, we get:

MN=\frac{a+b}{2}-\frac{d}{2}

Subtracting the fractions we get:

MN=\frac{a+b-d}{2}

Now, to obtain the length of AB we need to subtract the x-coordinate of A from the x-coordinate of B.

The coordinates of A are determined from the graph:

A=(0,0)

The coordinates of B are:

B=(a,0)

Therefore, the length of segment AB is:

AB=a

Now we do the same procedure to determine the segment of CD. The coordinates of C are:

C=(b,c)

The coordinates of D are:

D=(d,c)

Therefore, CD is:

CD=b-d

Now, we determine MN as half the sum of the bases. The bases are AB and CD, therefore:

MN=\frac{1}{2}(a+b-d)

Therefore, we have proven that the median of a trapezoid equals half the sum of its bases.

8 0
1 year ago
On a coordinate plane, a line is drawn from Rock to Tree. The x- and y-axes are labeled feet. Rock is at (3, 2) and Tree is at (
-Dominant- [34]

Answer:

The second choice (7.6,8.8)

Step-by-step explanation:

The missing image is attached

We use the section formula:

(x,y)=(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})

We substitute x_1=3,x_2=16,y_1=2,y_2=21 and m=5, n=9

(x,y)=(\frac{5*16+9*3}{5+9},\frac{5*21+5*2}{9+5})

We simplify to get:

(x,y)=(\frac{80+27}{14},\frac{105+10}{14})

This simplifies to:

(x,y)=(\frac{107}{14},\frac{125}{14})

In decimals we get:

(x,y)=(7.6,8.8)

6 0
2 years ago
Read 2 more answers
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