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Effectus [21]
4 years ago
8

-3+3w=-18 I need help please

Mathematics
2 answers:
Rzqust [24]4 years ago
7 0

Answer:

w=-5

Step-by-step explanation:

3w=-18+3

3w=-15

w=-5

qaws [65]4 years ago
5 0
W = -5

Work:
-3+3w=-18 add 3 on both sides to cancel out -3 which is also the first step to isolating w
3w=-15 divide both sides by 3 to isolate w.
W=-5 a negative divided by a positive is a negative.

Hope this helped
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Find dy/dx by implicit differentiation. x2 − 4xy + y2 = 4
alekssr [168]
2x -4xydy/dx+ 2ydy/dx= 0
(2y-4xy) dy/dx = -2x
dy/dx = -2x / 2y-4xy
4 0
4 years ago
In a grid of a backyard, the vertices of the floor of a shed are (20, 80), (50, 60), (50, 20), and (20, 20). The coordinates are
sdas [7]

Answer:

The area of the floor of the shed is <u>1500 square feet.</u>

Step-by-step explanation:

Given:

The vertices of the floor of a shed are: (20,80), (50,60), (50,20) and (20,20)

Let us plot the given vertices on a graph.

From the graph, it is clear that the given figure is a trapezium with opposite parallel sides being parallel to the y axis. The height of the trapezium is the side that is parallel to x axis.

The area of the trapezium ABCD is given as:

A=\frac{1}{2}(AB+CD)\times AD

From the graph, AB = 60 ft, CD = 40 ft, AD = 30 ft

Therefore, the area is given as:

A=\frac{1}{2}(60+40)\times 30\\A=\frac{1}{2}\times 100\times 30=1500\ ft^2

Therefore, the area of the floor of the shed is 1500 square feet.

4 0
4 years ago
Suppose that you take $350 in currency out of your pocket and deposit it in your checking account. If the required reserve ratio
nika2105 [10]

Answer:

= $3,888.89

Step-by-step explanation:

First, calculate the money multiplier(MM); which is the amount of money that is generated by the banks for each dollar of reserve. In this case, it describes how a deposited amount increases the total supply of money.

Money Multiplier = 1 / reserve ratio

Reserve ratio = 9% or 0.09

Therefore, money multiplier = 1/0.09 = 11.1111

Next, use the reserve ratio to calculate the amount of increase in money supply;

= 11.1111 * $350

= $3,888.89

5 0
4 years ago
Mrs Leon bought 6 rolls of toilet paper and 5 bottles of hand sanitizer for $32. Ms Ramirez bought 4 rolls of toilet paper and 1
zlopas [31]

Answer:

The cost of a roll of toilet paper is <u>$2</u> and the cost of a bottle of hand sanitizer is <u>$4</u>.

Step-by-step explanation:

Given:

Mrs Leon bought 6 rolls of toilet paper and 5 bottles of hand sanitizer for $32.

Ms Ramirez bought 4 rolls of toilet paper and 1 bottle of hand sanitizer for $12.

Now, to find the cost for each item sold.

Let the cost of a roll of toilet paper be x.

And the cost of a bottle of hand sanitizer be y.

So, the cost of 4 rolls of toilet paper and 1 bottle of hand sanitizer:

4x+y=12\\\\y=12-4x\ \ \ \ .....(1)

Now, the cost of 6 rolls of toilet paper and 5 bottles of hand sanitizer:

6x+5y=32

Substituting the value of y from equation (1):

6x+5(12-4x)=32

6x+60-20x=32

60-14x=32

<em>Subtracting both sides by 60 we get:</em>

<em />-14x=-28<em />

<em>Dividing both sides by -14 we get:</em>

x=2.

<u>The cost of a roll of toilet paper = $2.</u>

Now, substituting the value of x in equation (1):

y=12-4x\\\\y=12-4\times 2\\\\y=12-8\\\\y=4.

<u>The cost of a bottle of hand sanitizer = $4.</u>

Therefore, the cost of a roll of toilet paper is $2 and the cost of a bottle of hand sanitizer is $4.

7 0
3 years ago
A soccer team made 24 penalty shots out of 100. Which ratio represents
Misha Larkins [42]

Answer:

Step-by-step explanation:

4 0
3 years ago
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