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3 years ago

2-3*(z-5)+11=4 what is the value of z

Mathematics

1 answer:

wel3 years ago

6 0

2-3(z-5)+11=4

Distribute

2-3z+15+11=4

Move the constants to gether but make sure they keep thei signs

2+15+11-3z=4

Simplify

28-3z=4

Start to Isolate the variable by subtracting 28 from both sides of the equation

-3z=-24

Completely isolate the variable by deviding the whole equation by -3

z=8

If you would like anything explained, just ask

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Scott bought a pen and received change of $4.75 in 25 coins, all dimes and quarters. How many of each kind did he receive?

dangina [55]

Answer:

He received 10 dimes and 15 quarters.

Step-by-step explanation:

Dimes = $0.10

Quarters = $0.25

Variable x = dimes

Variable y = quarters

Create a pair of linear equations:

0.10x + 0.25y = 4.75

x + y = 25

Isolate any variable, using an equation of your choice:

x + y = 25

x = 25 - y

Plug in this new value of x into the other equation:

0.10(25 - y) + 0.25y = 4.75

Use the distributive property:

2.5 - 0.10y + 0.25y = 4.75

Combine like terms:

2.5 + 0.15y = 4.75

Isolate variable y:

0.15y = 2.25

y = 15

Plug in the value of y into any equation:

x + y = 25

x + 15 = 25

Isolate variable x:

x = 10

7 0

2 years ago

What is the value of s in the equation 3 r equals 10 plus 5 s, when r equals 10? 4 8 100 200

alisha [4.7K]

Answer

Step-by-step explanation:

Given,

r = 10

Let's create an equation,

$3r = 10 + 5s$

plugging the value of r

$3 \times 10 = 10 + 5s$

Multiply the numbers

$30 = 10 + 5s$

Move 5s to L.H.S and change its sign

Similarly, Move 30 to R.H.S and change its sign.

$- 5s = 10 - 30$

Calculate

$- 5s = - 20$

The difference sign ( - ) should be cancelled on both sides

$5s = 20$

Divide both sides of the equation by 5

$\frac{5s}{2} = \frac{20}{5}$

Calculate

$s = 4$

The value of s is 4.

Hope this helps..

Best regards!!

6 0

3 years ago

Read 2 more answers

3 What is the difference of 21 ? 4

PilotLPTM [1.2K]

Answer:

The difference is 4–3. If you want the difference between 3 and -4, then the difference is 7.

Step-by-step explanation:

6 0

3 years ago

List 3 values that would make this inequality true. 65<15x

Romashka-Z-Leto [24]

Anything 5 and up, because when you multiply the by 15, they equal more than 65, making the inequality true.

5 0

3 years ago

Question 3

Elan Coil [88]

Answer:

Domain: $-3\leq x\leq 1$

Range: $-4\leq y\leq 0$

Step-by-step explanation:

If you find the coordinate of the graph you can get the domain and range

(-3,0), (-2,-4), (-1,-2), (0,0), (1, -4)

Now that we have that find the domain and range

Domain - x coordinate

Range - y coordinate

Domain: (-3, -2, -1, 0, 1)

Range: (-4, -2, 0)

Since the domain ranges from -3 to 1 you can use the inequality $-3\leq x\leq 1$ to represent the domain and $-4\leq y\leq 0$ for the range

7 0

3 years ago