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lianna [129]
3 years ago
6

Solve for a. 2(a+4)+6a=48

Mathematics
2 answers:
andreev551 [17]3 years ago
3 0
2a+8+6a=48
8a=40
a=5Hope this answer helps!
Dafna1 [17]3 years ago
3 0
<span>2(a + 4) + 6a = 48

2a + 8 + 6a = 48

8a = 48 - 8

8a = 40

a = </span>\frac{40}{8}

a = 5
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At a competition with 7 runners, medals are awarded for first, second, and
il63 [147K]

Answer:

Option A - Permutation; number of ways = 210

Step-by-step explanation:

Given : At a competition with 7 runners, medals are awarded for first, second, and  third places. Each of the 3 medals is different.

To find : How many ways are there to  award the medals?        

Solution :

There are 7 runners but medals are three.

The first runner up got first medal as one is locked.

The second runner up got second medal as second is locked.

The third runner up got the third medal.

So, There is a permutation.

Number of ways to award the medals is ^7P_3

We know, ^nP_r=\frac{n!}{(n-r)!}

Substitute the values,

^7P_3=\frac{7!}{(7-3)!}

^7P_3=\frac{7\times 6\times 5\times 4!}{4!}

^7P_3=210

Therefore, Option A is correct.

Permutation; number of ways = 210

6 0
3 years ago
Write an equation of the line that passes through (2, -5) and is parallel to the line 2y = 3x + 10
Zarrin [17]

First you get "y" by itself. To do so you divide 2 on both sides.

y = 3/2x + 5

To write an equation of a line that is PARALLEL to this equation, the slopes have to be the SAME. So the slope is 3/2.

You then use the equation:

y = mx + b

SInce you know "m" you plug it in.

y = 3/2x + b

Now you need to find b. To do so you plug in the point (2, -5) into this equation.

-5 = 3/2(2) + b

-5 = 3 + b

-8 = b

Finally you plug in b and you get your new equation.

y = 3/2x - 8

8 0
3 years ago
Solve Ax − By = C for x.
maria [59]

Answer:

For this case we have the following equation:

Ax - By = C

From here, we must clear the value of x.

Adding By on both sides:

Ax = By + C

Then, dividing both sides by A we have:

x =By +C/A

Answer:

x = By+C/A

x equals the quantity B times and plus C all over A

6 0
2 years ago
Write an equation for the line, given that M=5/6 and why intercept is (0,12)
Fudgin [204]
The answer to the question

6 0
3 years ago
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The course grade in a statistics class is the average of the scores on five examinations. Suppose that a student's scores on the
nadya68 [22]

Answer:

84 is the highest possible course average

Step-by-step explanation:

Total number of examinations = 5

Average = sum of scores in each examination/total number of examinations

Let the score for the last examination be x.

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x = 5y -321

If y = 6, x = 5×6 -321 =-291.the student cannot score -291

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If If y = 84, x = 5×84 -321 =99.This would be the highest possible course average after the last examination.

If y= 100

The average cannot be 100 as student cannot score 179(maximum score is 100)

8 0
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