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natita [175]
3 years ago
8

In the following proportion, what does z equal? 3/7 = 15/z

Mathematics
2 answers:
lions [1.4K]3 years ago
8 0

Answer:

yes Z= 35

Step-by-step explanation:

3  = 15

7   =  z

Cross multiply:

3 * z = 7 * 15

Simplifying

3 * z = 7 * 15

Multiply 7 * 15

3z = 105

Solving

3z = 105

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Divide each side by '3'.

z = 35

Simplifying

z = 35

NARA [144]3 years ago
7 0

3/7 = 15/z

using cross products

3z = 7*15

3z = 105

divide by 3

z = 35

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The width and length of a rectangle are (x+2) and (2x+5). Find the expression that can be used to represent the perimeter and ar
Aliun [14]
To find the area of this rectangle you multiply the length by the width, like so (x+2) x (2x+5) .

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3 0
3 years ago
Suppose James has a credit card with a balance of 4289 . Each month the credit card company charges 5% interest. If James pays o
topjm [15]

Answer:

<h2>4076.56</h2>

Step-by-step explanation:

First we need to calculate the James monthly charges on his balance of 4289.

Using the simple interest formula;

Simple Interest = Principal * Rate * Time/100

Principal = 4289

Rate = 5%

Time = 1 month = 1/12 year

Simple interest = 4289*5*1/12*100

Simple interest = 21,445/1200

Simple interest = 17.87

<u>If monthly charge is 17.87, yearly charge will be 12 * 17.87 = </u><u>214.44</u>

The balance on his credit card one year from now = Principal - Interest

= 4289 - 214.44

= 4076.56

The balance on his credit card one year from now will be 4076.56

5 0
4 years ago
I need answers to this
ololo11 [35]

Answer:

x = -5, and y = -6

Step-by-step explanation:

Suppose that we have two equations:

A = B

and

C = D

combining the equations means that we will do:

First we multiply both whole equations by constants:

k*(A = B) ---> k*A = k*B

j*(C = D) ----> j*C = j*D

And then we "add" them:

k*A + j*C = k*B + j*D

Now we have the equations:

-x  - y = 11

4*x - 5*y = 10

We want to add them in a given form that one of the variables cancels, so we can solve it for the other variable.

Then we can take the first equation:

-x  - y = 11

and multiply both sides by 4.

4*(-x - y = 11)

Then we get:

4*(-x - y) = 4*11

-4*x - 4*y = 44

Now we have the two equations:

-4*x - 4*y = 44

4*x - 5*y = 10

(here we can think that we multiplied the second equation by 1, then we have k = 4, and j = 1)

If we add them, we get:

(-4*x - 4*y) + (4*x - 5*y) = 10 + 44

-4*x - 4*y + 4*x - 5*y = 54

-9*y = 54

So we combined the equations and now ended with an equation that is really easy to solve for y.

y = 54/-9 = -6

Now that we know the value of y, we can simply replace it in one of the two equations to get the value of x.

-x - y = 11

-x - (-6) = 11

-x + 6 = 11

-x = 11 -6 = 5

-x = 5

x = -5

Then:

x = -5, and y = -6

5 0
3 years ago
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