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3 years ago

(2a-5)/6 = 5/12 what is the answer?

Mathematics

1 answer:

USPshnik [31]3 years ago

3 0

Answer:

a = 15/4.

Step-by-step explanation:

(2a-5)/6 = 5/12

Cross multiply:

12(2a - 5) = 5*6

24a - 60 = 30

24a = 90

a = 90/24

a = 15/4.

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Determine if the sequence below is arithmetic or geometric and determine the common difference/ratio in simplest form.

Nana76 [90]

Step-by-step explanation:

this is clearly not a linear sequence (the terms don't have the same difference).

so, it has to be a geometric sequence.

the common ratio is r.

s2 = s1 × r

16 = 64 × r

r = 16/64 = 1/4

control :

s3 = s2×r

4 = 16 × 1/4 = 4

correct.

6 0

2 years ago

Two groups of students were asked how far they lived from their school. The table below shows the distances in miles:

pychu [463]

Answer:

C. The value for Group A is double the value for Group B

Step-by-step explanation:

First, you add all the numbers from each group.

A: The distance in total is 39.06

B: The distance in total is 19.53

To find the mean, which is another way of saying the average, you divide the sum with how many numbers there are. (hope this makes sense, I suck at wording)

A: There are 9 numbers in total, hence, 39.06/9 = 4.34

B: There are 9 numbers in total, hence, 19.53/9 = 2.17

Those are the mean distance for the two groups.

2.17 * 2 = 4.34

Hence, C (third statement)

3 0

2 years ago

Read 2 more answers

Which expression would be easier to simplify if you used the associative property to change the grouping? O A. (170 + 30) – 41 O

jekas [21]

Answer:

A.(170+30)-41

Step-by-step explanation:

(170+30)-41=170+(30-41)

200-41=170+(-11)

159=170-11

159=159

3 0

2 years ago

What is the area of a triangle with vertices (1,0) (5,0) (3,4)

Aleksandr-060686 [28]

Answer:

The area of the triangle is of 8 units of area.

Step-by-step explanation:

Answer:

The area of the triangle is of 21 units of area.

Step-by-step explanation:

The area of a triangle with three vertices $(x_1,y_1),(x_2,y_2),(x_3,y_3)$ is given by the determinant of the following matrix:

$A = \pm 0.5 \left|\begin{array}{ccc}x_1&y_1&1\\x_2&y_2&1\\1_3&y_3&1\end{array}\right|$

In this question:

Vertices (1,0) (5,0) (3,4). So

$A = \pm 0.5 \left|\begin{array}{ccc}1&0&1\\5&0&1\\3&4&1\end{array}\right|$

$A = \pm 0.5(1*0*1+0*1*3+1*5*4-1*0*3-0*5*1-1*1*4)$

$A = \pm 0.5*(20-4)$

$A = \pm 0.5*16 = 8$

The area of the triangle is of 8 units of area.

3 0

3 years ago

1. Kane earns an annual salary of $42,500.

Katarina [22]

Answer:

$1753.13

Step-by-step explanation:

Kane's Annual Salary = $42,500

Gross Pay = $42,500

Net Pay = Gross Pay - 1% of Gross Pay

=42500 - (0.01 X 42500)

=$42,075

Since he is paid twice a month with paychecks being of equal amounts.

Number of Payments in a Year =12 X 2= 24

Therefore, Kane's Take Home pay after Medicare taxes

$= \$42075 \div 24\\=\$1753.13$ (to the nearest cent)$

5 0

2 years ago