MATHEMATICS HIGH SCHOOL

Make w the subject of the formula!!!!! HELP!!!!

y=3w-a

Answers

Answer 1
Answer: y = 3w - a
We need to isolate w here
so, we do these steps:
1 - add a
y = 3w - a
+a      + a
y + a = 3w

Divide by 3 to isolate w
(y+a)/(3) = (3w)/(3)
3 and 3 cancels out

Final answer:
(y+a)/(3) = w

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Multiplying a number by 2 and then adding 5 gives the same number as subtracting a number from 23. What is the number?

Answers

2 * x + 5 = 23 - x <=> 3 * x = 18 <=.> x = 6;

Sally and Joan were able to dust the house in 3 hours together. It takes Joan 10 hours to finish the same job alone. Without help, how long would it take Sally to finish the same job ?

Answers

Answer:

4.3 hours

Step-by-step explanation:

Let the number of hours Sally does a job = x

Let the number did hours Joan does a job be equal to y

Sally and Joan were able to dust the house in 3 hours together.

1/x + 1/y = 1/3

It takes Joan 10 hours to finish the same job alone.

Hence,

1/x + 1/10 = 1/3

1/x = 1/3 - 1/10

Least common dey = 30

1/x = 10 - 3/30

1/x = 7/30

Cross Multiply

x × 7 = 30

7x = 30

x = 30/7

x = 4.2857142857 hours

Approximately = 4.3 hours

Without help, it would take Sally 4.3 hours to finish the same job.

Choose the correct simplification of the expression (x2y)2. x4y3
x6y6
x4y2
xy4

Answers

Answer:  The correct option is (C) x^4y^2.

Step-by-step explanation:  We are given to select the correct expression that is equivalent to the expression below:

E=(x^2y)^2.

We will be using the following properties of exponents:

(i)~(a^b)^c=a^(b* c),\n\n(ii)~(ab)^c=a^cb^c.

We have

E=(x^2y)^2=(x^2)^2y^2=x^(2* 2)y^2=x^4y^2.

Therefore, the required equivalent expression is x^4y^2.

Thus, (C) is the correct option.

The correct simplification of the expression(x^2y)^2 is x^4y^2.

Option C. is correct.

Here, we have,

To simplify the expression, we apply the power of a power rule,

which states that (a^m)^n = a^{m*n.

In this case, x^2y raised to the power of 2 can be simplified as follows:

(x^2y)^2 = x^{2^(2) * y^(2)

=x^4y^2

Therefore, the correct simplification of  (x^2y)^2 is x^4y^2.

Option C. is correct.

To learn more on Expression click:

brainly.com/question/14083225

#SPJ6

Which equation represents a line which is parallel to the line 4y-3x=-8

Answers

Answer:

y=3/4x

Step-by-step explanation:

Answer:

-8y+6x=-8

Step-by-step explanation:

Can't promise this is 100% correct, but I tried.

3. If the legs of an isosceles right triangle are 10 inches long, approximate the length ofthe hypotenuse to the nearest whole number​

Answers

Answer:

Using the Pythagorean theorem for isosceles right triangle, the length of  the hypotenuse is sqrt( 2 x 10^2) = ~14.1 in

Hope this helps!

:)

ABCD is a rectangle. C has coordinates (5, 3) and D has coordinates (-3, -1).AB has equation x- 2y + 6 = 0 work out the coordinates of points A and B.

Answers