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jenyasd209 [6]
3 years ago
14

What is the value of x in the equation -2/3 x +9= 4/3x -3?

Mathematics
1 answer:
HACTEHA [7]3 years ago
5 0

-2/3x+9=4/3x-3 original problem add 2/3x to both sides

9=6/3x-3 simplify 6/3 to 2 and add 3 to both sides

12=2x  divide both sides by 2

x=6

hope that helps



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One metre of ribbon costs $0.45. If Tabitha buys 225 metres of ribbon, how much will she have to pay? (Please help me! I have to
tatuchka [14]

Answer: $101.25

Step-by-step explanation:

Since we are given the information that one metre of ribbon costs $0.45 and that Tabitha buys 225 metres of ribbon, the amount that she will have to pay will be gotten by multiplying the cost of one meter of ribbon by the total meters that she bought. This will be:

= $0.45 × 225

= $101.25

Therefore, the cost is $101.25

6 0
3 years ago
Which equation represents a line that has a slope of 1/3 and passed through point (-2,1)?
umka2103 [35]

Answer:

y=1/3x+5/3

Step-by-step explanation:

use the equation y=mx+b plug in slope for m, -2 for x and 1 for y

7 0
3 years ago
What is the answer of 1/2 x 2 1/3 =
OlgaM077 [116]

Answer:

7/6 or 1 1/6

Step-by-step explanation:

First convert 2 1/3 into just a normal fraction

2 1/3 = 7/3

Next set up the equation and multiply from left to right on both the top and bottom.

1/2 x 7/3 = 7/6

1 x 7 = 7

2 x 3 = 6

Answer: 7/6 or 1 1/6

7 0
3 years ago
Read 2 more answers
A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 5/4 .
Andrei [34K]
The volume of the original prism is calculated by multiplying the area of the base by the height,
                               volume = (8 cm²)(6 cm) = 48 cm³
By the word dilated we mean to say that the dimensions of the new prism is 5/4 times that of the original solid. If we let x be the volume of the new solid,
                           x / 48 cm³ = (5/4)³
The value of x from the equation above is equal to 93.75 cm³. 
8 0
3 years ago
Read 2 more answers
The number of views on an interesting video after it's uploaded is represented by the following table:
defon

Answer:

The model for V(t) ,the number of views, t ,months after it's uploaded, best fits the data is ,V(t)=50(6.25)^t

Step-by-step explanation:

Time (months)         Views

0                                  50

2                                  313

4                                  1950

6                                  12,210

8                                  76,300

10                                 476,800

(x_1,y_1)=(0,50)\\(x_2,y_2)=(2,313)\\(x_3,y_3)=(4,1950)

Slope = \frac{y_2-y_1}{x_2-x_1}

Slope = \frac{313-50}{2-0}

Slope =131.5

Slope = \frac{y_3-y_2}{x_3-x_2}

Slope = \frac{1950-313}{4-2}

Slope =818.5

Since the slope is not same . So, it is not a linear relationship

\frac{y_2}{y_1}=\frac{313}{50}=6.25\\\frac{y_3}{y_2}=\frac{1950}{313}=6.25

Since the ratio between the consecutive outputs is same so, it is exponential relationship.

Formula : y=ab^t

Where a is the initial value = 50

b = rate of change = 6.25

The model for V(t) ,the number of views, t ,months after it's uploaded, best fits the data

So,V(t)=50(6.25)^t

5 0
3 years ago
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