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algol [13]
4 years ago
8

In the diagram below, find the value of y....

Mathematics
1 answer:
Sholpan [36]4 years ago
8 0

Answer:

y = 130

Step-by-step explanation:

(4x+8) + (3x-19) + (x+7) = 180

4x + 8 + 3x - 19 + x + 7 = 180

(4x + 3x + x) + (8 -19 + 7) = 180

8x - 4 = 180

8x -4 +4 = 180 +4

8x = 184

8x/8 = 184/8

x = 23

3(23) - 19 = 50

50 + y = 180

180 - 50 = y

y = 130

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If y varies directly as z and inversely as x and y = –18 and z = 3 when x = 6, find y when x = 5 and z = –5.
JulijaS [17]

Answer:

y = 36

Step-by-step explanation:

Given y varies directly as z and inversely as x then the equation relating them is

y = \frac{kz}{x} ← k is the constant of variation

To find k use the condition y = - 18, z = 3 when x = 6 , then

- 18 = \frac{3k}{6} ( multiply both sides by 6 )

- 108 = 3k ( divide both sides by 3 )

- 36 = k

y = \frac{-36z}{x} ← equation of variation

When x = 5 and z = - 5, then

y = \frac{-36(-5)}{5} = \frac{180}{5} = 36

6 0
3 years ago
In 10 years, a bank account with a 5.25% annual interest rate earned $18,375 as simple interest. What was the principal amount?
sdas [7]

Answer:

The principal amont was $35,000

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

In this problem, we have that:

E = 18375, t = 10, I = 0.0525

We want to find P. So

E = P*I*t

18375 = P*0.0525*10

0.525P = 18375

P = \frac{18375}{0.525}

P = 35000

The principal amont was $35,000

5 0
3 years ago
Please follow me on twitch: tiger1961
MatroZZZ [7]

Answer:

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4 0
3 years ago
PLS HELP FAST WILL GIVE BRAINLIEST
amid [387]

Answer:

The values are calculated with the help of table.

Step-by-step explanation:

We are given the following information in the question:

A table is shown showing trees on two different plots of land which are tested for disease.

    Tree:        1           2           3           4          5           6          7        

     Plot:         A          A           B           B         B           A          B

Disease:        Y          N           Y           Y          Y          N         N

We have to find:

Calculating from the table, we can fill the values as:

                                             Plot A                Plot B

Disease Present                        1                          3

Disease not Present                2                          1

6 0
3 years ago
If there are 15 students who don’t wear glasses, how many students are in the class?
mixer [17]
Ummmm still 15???????
4 0
3 years ago
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