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Ket [755]
3 years ago
12

Solve each equation for y. 3x + 2 =6y

Mathematics
1 answer:
Strike441 [17]3 years ago
6 0

Answer:

1/2x + 1/3 = y

Step-by-step explanation:

3x + 2 =6y

Divide each side by 6

3x/6 + 2/6 = 6y/6

Simplify

1/2x + 1/3 = y

You might be interested in
The diameter of a circle if five times the length of a recatngle. The length of a rectangle is three times the width of the rect
Leno4ka [110]

Answer:

706.5 ft²

Step-by-step explanation:

A. Width of the rectangle

The formula for the area of a rectangle is

A = lw

But, l = 3w, so,

A = (3w)w

= 3w² = 12

      w² = 4         Divided each side by 3

      w   = 2 ft     Took the square root of each side

B. Length of rectangle

l = 3w = 6 ft

C. Diameter of circle

d = 5l = 5 × 6 = 30 ft

D. Radius of circle

d = 2r

r = d/2     Divided each side by 2

r = 30/2 = 15 ft

E. Area of circle

A = πr² = 3.14 × 15² = 3.14 × 225 = 706.5 ft²

The area of the circle is 706.5 ft².

8 0
4 years ago
Need help on this math question!!!
gavmur [86]

Answer:

s = 10w

Step-by-step explanation:

We can find the equation in <u>slope-intercept form</u> which is y = mx + b. The variables mean:

"b" - for the y-intercept (where the graph hits the y-axis)

"m" - for the slope (how steep the line is)

"x" and "y" - coordinates that satisfy the equation (points on the line)

From the graph, we can see that the y-intercept is 0. b = 0, therefore we do not need to write it in the equation.

To find the slope, "m", use the equation  m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}. To use it, substitute the coordinates for two points. Using the diagram, choose a point 1 and a point 2.

Point 1 (0, 0)      x₁ = 0   y₁ = 0

Point 2 (1, 10)     x₂ = 1   y₂ = 10

m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}          Substitute values

m = \frac{10-0}{1-0}          Subtract to simplify

m = \frac{10}{1}          Simplify the fraction

m = 10            Slope of the line

Since we know "m" and "b", we can write the equation:

y = mx + b

y = 10x + 0

y = 10x

We are not using "x" and "y" in this case. Change them according to the question.

x => w

y => s

y = 10x   =>   s = 10w

5 0
3 years ago
The total distance jim traveled on his bicycle during a 5 hour period is shown in the graph below.
spayn [35]

Answer:

100 miles

follow the line up from 5

3 0
3 years ago
What is the value of x in 15x-10= 20
Brut [27]
15x-10=20
+10 +10
15x=30
\15 /15
x=2

you add 10 to both -10 (they cancek eachother out) and 20 (equals 30)
Then you divide 30 by 15 (equals 2) and 15 by 15 (they cancel eachother out)
Then you get x=2
4 0
3 years ago
Read 2 more answers
The function g(x) = p sin x +q, where p&gt;0, has a maximum value of 10 and a minimum value of -4. Find the value of p and of q.
tester [92]

Answer: p=7, q=3

Step-by-step explanation:

The midline of the function is

\frac{10-4}{2}=3 \implies q=3

This means that to obtain a maximum of 10, when \sin x reaches it's maximum, 1, g(x)=p+q=10 \implies p=7

7 0
2 years ago
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