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scoundrel [369]
3 years ago
11

-z=80 solve with steps

Mathematics
1 answer:
dalvyx [7]3 years ago
5 0
-z = 80

You cannot submit an equation with a negative letter ( -z ) so we have to cancel the negative.

To cancel negatives in the equation, we multiply both sides by -1.

-z * -1 = 80 * -1

z = -80

Answer: z = -80
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Caroline has 10 marbles. One half of them are blue. How many marbles are blue?
Viktor [21]
Answer: 5

One half of 10 is 10/2 or 1/2(10)
10/2 = 5
1/2(10) = 5
6 0
3 years ago
Read 2 more answers
-2x + y = 4<br> y = x + 2<br><br><br> Third question^ solve the system of equations
Leya [2.2K]

Answer:

x=-2 y=0

Step-by-step explanation:

put the second equation in to the first one

-2x+x+2=4

-x=2

x=-2

y=-2+2=0

x=-2 y=0

6 0
3 years ago
Mrs Tan bought 4 times as many pens as notebooks and each notebook cost $8.20 more than each pen. She spent $26 more on the book
lilavasa [31]
Let x be the cost of 1 pen
then cost of 1 notebook = x + 8.20

Let y be the number of pens Tan buys
then number of notebooks Tan buys = y/4

She spent $26 more on books than on pens which means

Cost of notebooks - Cost of pens = 26
(x + 8.20) * y/4 - xy = 26

Sinplifying it

(xy + 8.20y)/4 - xy = 26
(xy + 8.20y - 4xy)/4 = 26
8.20y - 3xy = 104

She spent $394 which means

Cost of notebooks + Cost of pens = 394
(x + 8.20) * y/4 + xy = 394

Simplifying it

(xy + 8.20y)/4 + xy = 394
(xy + 8.20y + 4xy)/4 = 394
8.20y + 5xy = 1576

Now, we have two equations,

(1) 8.20y - 3xy = 104
(2) 8.20y + 5xy = 1576

Now we need to find a third equation with either x or y as the subject of any of both the previous equations.

Let's make y the subject of (2) equation

8.20y + 5xy = 1576
y(8.20 + 5X) = 1576
(3) y = 1576/(8.20 + 5x)

Let's substitute the new value of y from (3) into (1) because we rearranged (2) to from (3)

8.20y - 3xy = 104
y(8.20 - 3x) = 104
y = 104/(8.20 - 3x)
1576/(8.20 + 5x) = 104/(8.20 - 3x)
1576 * (8.20 - 3x) = 104 * (8.20 + 5x)
12923.2 - 4728x = 852.8 + 520x
12923.2 - 852.8 = 4728x + 520x
12070.4 = 5248x
12070.4/5248 = x
x = 2.3

Now find the value of y by substituting the value of x in either equation, preferably (3)

y = 1576/(8.20 + 5x)
y = 1576/(8.20 + 5 * (2.3))
y = 80

Therefore cost of 1 notebook = x + 8.20 = 2.3 + 8.20 = $10.50

8 0
3 years ago
The exponential function f(x) has a horizontal asymptote at y=3 what is the end behaviour of f(x)?
tatuchka [14]

Answer:  C) as x → -∞, y → 3

                    as x→ ∞ , y → ∞

<u>Step-by-step explanation:</u>

see graph

Notice that as x approaches negative infinity (goes to the left), the y value approaches the asymptote of y = 3.

And as x approaches positive infinity (goes to the right), the y-value increases without bound so goes to infinity.

8 0
3 years ago
Evaluate 12 x (4^-2/4^-4)<br><br> A 1/4<br> B 3/4<br> C 16<br> D 192
MrMuchimi
12 ×4^4/4^2
=12×4^2
=12×16
=192
7 0
3 years ago
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