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scZoUnD [109]
3 years ago
14

Solve for x, in terms of y: 2/3x + 1/5y = 2

Mathematics
1 answer:
lakkis [162]3 years ago
4 0

Answer:

x = 3 - 3/10y

Step-by-step explanation:

2/3x + 1/5y = 2

Subtract 1/5y from each side

2/3x + 1/5y -1/5 y= 2-1/5 y

2/3x = 2-1/5y

Multiply by 3/2 to isolate x

3/2 * 2/3x = 3/2 (2-1/5y)

x = 3/2 (2-1/5y)

Distribute the 3/2

x = 3 - 3/10y

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Tell whether (-1,2) is a solution of 8x+y>-6
harina [27]

Answer:

Not a solution.

Step-by-step explanation:

(x, y)

(-1, 2)

Substitute the x and y values in the expression with the point given.

8x + y > -6

8(-1) + 2 > -6

-8 + 2 > -6

-6 > -6

Since our final value has to be greater than -6 but is instead equal to -6, the solution is not true.

3 0
2 years ago
Daniel is printing out copies of a presentation. It takes 3 minutes to print a color copy and 1 minute to print a black-and-whit
Effectus [21]
Work the information to set inequalities that represent each condition or restriction.

2) Name the variables. 

c: number of color copies
b: number of black-and-white copies

3) Model each restriction:

i) <span>It takes 3 minutes to print a color copy and 1 minute to print a black-and-white copy.
</span><span>
</span><span>3c + b
</span><span>
</span><span>
</span><span>ii) He needs to print at least 6 copies ⇒ c + b ≥ 6
</span><span>
</span><span>
</span><span>iv) And must have the copies completed in no more than 12 minutes ⇒</span>

3c + b ≤ 12
<span />

4) Additional restrictions are c ≥ 0, and b ≥ 0 (i.e. only positive values for the number of each kind of copies are acceptable)

5) This is how you graph that:

i) 3c + b ≤ 12: draw the line 3c + b = 12 and shade the region up and to the right of the line.

ii) c + b ≥ 6: draw the line c + b = 6 and shade the region down and to the left of the line.

iii) since c ≥ 0 and b ≥ 0, the region is in the first quadrant.

iv) The final region is the intersection of the above mentioned shaded regions.

v) You can see such graph in the attached figure.

6 0
3 years ago
PLEASE HELP I will give you a brainliest
Fed [463]

Answer:

when x = -1,  y = -3

when x = -1,  y = -1

when x = -1,  y = 1

when x = -1,  y = 3

Step-by-step explanation:

x = -1;  plug in y = 2(-1) - 1 = -2 - 1 = -3

x = 0;  plug in y = 2(0) - 1 = 0 - 1 = -1

x = 1;  plug in y = 2(1) - 1 = 2 - 1 = 1

x = 2;  plug in y = 2(2) - 1 = 4 - 1 = 3

3 0
2 years ago
In the diagram, lines m and n are parallel. What is the measure of w?
Zepler [3.9K]

Answer:

35 degrees

Pleaase seek help u need to be smarter than this giv me brainilest

8 0
3 years ago
What is the coefficient of the y-term in the expression 4x+5xy–2y
maks197457 [2]
The y-term is -2y. We know this is the y-term because it is a multiple of the variable y and is not multiplied with any other variables.

A coefficient is a number that a variable is multiplied by. When there is a number followed by a variable, the number is the coefficient.

In this case, the coefficient of the y-term is -2. The coefficient is negative because 2y is being subtracted, meaning the 2 is negative rather than positive.

Hope this helps!
3 0
2 years ago
Read 2 more answers
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