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Ilya [14]
3 years ago
10

How many solutions does -2z+2+4z=16/5+2z-6/5

Mathematics
1 answer:
kipiarov [429]3 years ago
6 0

Answer:

Infinite. Please Mark Brainliest, this took a lot of effort.

Step-by-step explanation:

After going through the process of solving, you get 0=0, meaning true for all z

-2z+2+4z=16/5+2z-6/5

Group Like Terms

-2z+4z+2=16/5+2z-6/5

Add similar terms

2z+2=16/5+2z-6/5

Group Like Terms

2z+2=2z-6/5+16/5

<em>Combine the Fractions</em>

Apply the rule a/c plus or minus b over c equals a plus or minus b over c

=(-6+16)/5

Add/Subtract the numbers

=10/5

Divide the numbers

=2

2z+2=2z+2

Subtract 2 from each side

2z+2-2=2z+2-2

Simplify

2z=2z

Subtract 2z from each side

2z-2z=2z-2z

Simplify

0=0

Both sides are equal, true for all z

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Fidn the points of intersection
Sedbober [7]

EQ. 1: x + y = 8

EQ. 2: 4x-y = 7

Rewrite EQ. 1 as EQ. 3: x = 8-y

Replace x in EQ.2 with EQ. 3:

4(8-y) - y = 7

Use the distributive property:

32 - 4y - y = 7

Combine like terms:

32 - 5y = 7

Subtract 32 from each side:

-5y = -25

Divide both sides by -5

y = -25 / -5

y = 5


Now replace y with 5 in EQ. 3 to solve for X:


x = 8-5

x = 3


The point of intersection is X = 3, Y = 5, which is written as (3,5)

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Answer:

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2. There were 35 children and 10 adults at a cookout.
qwelly [4]

Answer:

a.2:7

b.7:9

c.4:5

hope it helps

Explanation -

a. as original ratio is 10/35 , we reduce it to 2:7.

b. as original ratio is 35/45 , we reduce it to 7:9

c. as original ratio is 40:50 , we reduce it to 4:5

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3 years ago
Nachelle goes out to lunch. The bill, before tax and tip, was $8.10. A sales tax of 4% was added on. Nachelle tipped 17% on the
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Step-by-step explanation:

Nachelle goes out to lunch. The bill, before tax and tip, was $8.10. A sales tax of 4% was added on. Nachelle tipped 17% on the amount after the sales tax was added. How much was the sales tax? Round to the nearest cent.

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The painting shown at the right has an area of 220. What is the value of x?
tangare [24]

Answer:

9.76

Step-by-step explanation:

area of a rectangle = length * breadth

length = (2x + 3)

breadth = x

given area is 220 sq. inches.

thus,

220 = x * (2x+3)

220 = 2x² +3x

2x² + 3x -220 = 0

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