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Korvikt [17]
3 years ago
14

1/2x+4=2/3x solve for x

Mathematics
1 answer:
natita [175]3 years ago
5 0

Answer:

24=x

Step-by-step explanation:

1/2x+4=2/3x

Subtract 1/2 x from each side

1/2x-1/2x+4=2/3x-1/2x

4 = 2/3x-1/2x

We need to get a common denominator of 6 on the right

4 = 2/3x *2/2 = 1/2x *3/3

4 = 4/6 x - 3/6 x

4 = 1/6 x

Multiply each side by 6 to isolate x

4*6 = 1/6x *6

24 =x

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You and your best friend go out to dinner. The server was so good that you want to leave a 20% tip. Your food bill was $25.50. W
lys-0071 [83]

Answer:

$5.10

Step-by-step explanation:

We need to find 20% of 25.50

Multiply 20% * 25.50

Change to a decimal

.20 *25.50

5.10

6 0
2 years ago
The coordinates of A, B,and C in the diagram are A(p,4), B(6,1), C(9,q). What equation correctly relates p and q?
murzikaleks [220]
I don't see any diagram. So, I'll just wing it.

Value of q:
p, 6, 9 ⇒ there is a difference of 3. The sequence increases by 3. So, it can be assumed that the p is equal to 3. A(p,4) ⇒ A(3,4)

Value of q:
4, 1, q ⇒ there is a difference of 3. The sequence decreases by 3. So, it can be assumed that q is equal to -2. C(9,-2)
 
        p        q
A     3        4     ⇒ 3 + 4 = 7
B     6        1     ⇒ 6 + 1 = 7
C     9       -2    ⇒ 9 + (-2) = 7

Notice that the sequence has an equation of p + q = 7.


7 0
2 years ago
Read 2 more answers
He following set of coordinates represents which figure? (1, 1), (5, 3), (7, 7), (3, 5)
Musya8 [376]

There are 4 vertexes, so you know it's a polygon. When you graph these points it looks like the picture I linked below. It's a parallelogram because it has 2 pairs of parallel lines.

4 0
3 years ago
Read 2 more answers
1)2{18-(5+3^2)÷7] <br>2) 1+(-2-5)^2+-3*4<br>PEMDAS<br>​
stira [4]

Answer:

I think these are the right answers. The answer to one is 32. The answer to two is 38.

1: 2[18-(5+3^2)/7]

2[18-(5+9)/7]

2[18-14/7]

2[18-2]

2 times 16 = 32

2: I used a calculator for this one.

3 0
2 years ago
With bases V1, V2 , V3 andw1, w2 , W3, suppose T(v1) = w2 and T(v2) = T(v3) = w1 + w3 . T is a linear transformation. Find the m
Roman55 [17]

Answer:

See picture and explanation below.

Step-by-step explanation:

With this information, the matrix A that you can find is the transformation matrix of T. The matrix A is useful because T(x)=Av for all v in the domain of T.

A is defined as T=([T(v_1)] [T(v_2] [T(v_3)])\text{ where }[T(v_i)] denotes the vector of coordinates of T(v_i) respect to the basis (we can apply this definition because forms a basis for the domain of T).

The vector of coordinates can be computed in the following way: if T(v_i)=a_1w_1+a_2w_2+a_3w_3 then [T(v_i)]=(a_1,a_2,a_3)^t.

Note that we have all the required information: T(v_1)=0w_1+1\cdot w_2+0w_3 then [T(v_1)]=(0,1,0)^t

T(v_2)=T(v_3)=1\cdot w_1+0w_2+0w_3 hence [T(v_2)]=[T(v_3)]=(1,0,0)^t

The matrix A is on the picture attached, with the multiplication A(1,1,1).

Finally, to obtain the output required at the end, use the properties of a linear transformation and the outputs given:

T(v_1+v_2+v_3)=T(v_1)+T(v_2)+T(v_3)=w_2+w_1+w_1=w_2+2w_1  

In this last case, we can either use the linearity of T or multiply by A.

4 0
3 years ago
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