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3 years ago

7

Z + 6 over 3 = 2z over 4

1 answer:

Black_prince [1.1K]3 years ago

7 0

$\frac{z + 6}{3}$ = $\frac{2z}{4}$ Multiply both sides by 3
z + 6 = $\frac{(3)2z}{4}$ Multiply both sides by 4
(4)z + 6 = (3)2z Simplify
4z + 24 = 6z Subtract 4z from both sides
24 = 2z Divide both sides by 2
12 = z Flip the sides to make it easier to read
z = 12

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Jessica has four more hockey cards than one third the number of cards that David owns if Jessica has 12 hockey cards how many do

erica [24]

I believe the answer would be 24

work:

12-4=8 8x3=24

7 0

3 years ago

Read 2 more answers

Evaluate the following expression using the values given: Find −a2 − 3b3 + c2 + 2b3 − c2 if a = 3, b = 2, and c = −3. (1 point)

wariber [46]

The answer is -12
because you just have to simplyfy it and plug in the values

6 0

3 years ago

storchak [24]

Question:

Lisa walks at an average speed of 6 km/h for 15 hours.

Dan completes the same distance in an hour. Calculate Dan's average speed.

Answer:

$Speed = 90km/hr$

Step-by-step explanation:

Given

Lisa:

$Speed = 6km/hr$

$Time = 15\ hr$

First, we calculate the distance covered by Lisa:

$Distance = Speed * Time$

$Distance = 6km/hr * 15\ hr$

$Distance = 90km$

So, Dan distance can be represented as:

$Distance = 90km$ --- Dan completes the same distance as Lisa

$Time = 1\ hr$ -- Time to complete the distance

Dan's average speed is:

$Speed = \frac{Distance}{Time}$

$Speed = \frac{90km}{1\ hr}$

$Speed = 90km/hr$

<em>Hence, Dan's average speed is 90km/hr</em>

4 0

3 years ago

Solve the simultaneous equations

Contact [7]

Answer:

The solution for given system of equations is: x = 6 and y = 3

Or

(6,3)

Step-by-step explanation:

Given equations are:

$3x+4y=30\ \ \ Eqn\ 1\\3x-y=15\ \ \ \ Eqn\ 2$

There are three methods to solve simultaneous equations

Elimination
Substitution
Co-efficient method

We will use the elimination method as the coefficients of x in both equations are already same

Subtracting equation 2 from equation 1

$3x+4y - (3x-y) = 30-15\\3x+4y-3x+y = 15\\5y = 15\\\frac{5y}{5} = \frac{15}{5}\\y = 3$

Putting y = 3 in equation 2

$3x-3 = 15\\3x = 15+3\\3x = 18\\\frac{3x}{3} = \frac{18}{3}\\x = 6$

Hence,

The solution for given system of equations is: x = 6 and y = 3

Or

(6,3)

7 0

3 years ago

Write each fraction as the sum or difference of two terms.

Elden [556K]

Solution:

16.

Given: 3n+5/7

We can rewrite it as:

3n+5/7 = 3n/7 + 5/7

The sum of two terms is 3n/7 + 5/7.

17.

Given: 9p-6/3

We can rewrite it as:

9p-6/3 = 9p/3 - 6/3

= 3p - 2

The difference of two terms is 3n/7 + 5/7.

18.

Given: Length = -2n+17

Width = 24

Area = length * Width

= (-2n + 17) * 24

= -48n + 408

Hence, the simplest form is -48n + 408.

8 0

4 years ago