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3 years ago

Solve the following proble 1. 3a + 1 = a +9

Mathematics

1 answer:

Sav [38]3 years ago

3 0

Answer:

a=4

Step-by-step explanation:

3a+1=a+9

subtract a from both sides

2a+1=9

subtract 1 from both sides

2a=8

divide both sides by 2

a=4

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Select all the points that are on the graph of the line 2x + 4y=20 a.)(0.5) b. (0,10) c. (1,2) d.) (1,4) e.) (5,0) f. (10,0)

zmey [24]

Answer:

(0,5) and (10,0)

Step-by-step explanation:

The equation of the straight line is given by 2x + 4y = 20 .......... (1)

Now, point (0,5) satisfies the equation (1) as putting x = 0, we will get y = 5.

Now, point (0,10) does not satisfy the equation (1) as putiing x = 0, we get y = 5 ≠ 10

Again, point (1,2) does not satisfy the equation (1) as putiing x = 1, we get y = 4.5 ≠ 2

Now, point (1,4) does not satisfy the equation (1) as putiing x = 1, we get y = 4.5 ≠ 4

Again, point (5,0) does not satisfy the equation (1) as putiing y = 0, we get x = 10 ≠ 5

Finally, point (10,0) satisfies the equation (1) as putiing y = 0, we get x = 10 .

Therefore, only points (0,5) and (10,0) are on the graph of the line 2x + 4y = 20 (Answer)

8 0

3 years ago

What is the percent equation for 46% of 127?

Brut [27]

Answer:

46% of 127 is 58.42

Step-by-step explanation:

46/100 = x/127

Cross multiply

46 × 127 = 100 × x

5,842 = 100x

Divide both sides by 100

58.42 = x

3 0

3 years ago

There are two formulae you can use to calculate the number of apple trees and the number of conifer

Leno4ka [110]

9514 1404 393

Answer:

n = 8

Step-by-step explanation:

"By inspection" is an appropriate method.

We are asked to compare the expressions

n·n

8·n

and find the value(s) of n that makes them equal. <em>By inspection</em>, we see that n=8 will make these expressions equal. We also know that both expressions will be zero when n=0.

More formally, we could write ...

n^2 = 8n . . . . the two formulas give the same value

n^2 -8n = 0 . . . . rearrange to standard form

n(n -8) = 0 . . . . . factor

Using the zero product rule, we know the solutions will be the values of n that make the factors zero. Those values are ...

n = 0 . . . . . makes the factor n = 0

n = 8 . . . . . makes the factor (n-8) = 0

Generally, we're not interested in "trivial" solutions (n=0), so the only value of n that is of interest is n = 8.

A lot of times, I find a graphing calculator to be a quick and easy way to find function argument values that make expressions equal.

5 0

3 years ago

The difference between the amount of money spent on furniture and electrical appliances is 820. they spent a total of $12498 on

mariarad [96]

They spent 5839 on electrical appliances and 6659 on furniture

6 0

3 years ago

7(5x - 13) = 14

vfiekz [6]

Answer:

Part A, one solution

Part B, x=3

Step-by-step explanation:

divide both sides of the equation by 7 (5x-13=2)

move the constant to the right hand side and change its sign (5x=2+13)

add numbers (5x=15)

divide both sides of the equation by 5 (x=3)

hope this helps, have a good day

5 0

3 years ago