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sweet [91]
3 years ago
7

I NEED HELP SOOOO MUCH IM SOOO LOST I WILL GIVE A BRAINLIEST TO THE PERSON WHO INCLUDES ALL WORK, CORRECT ANSWER,AND EVERYTHING

MAKES SENSE.
(Variables on both sides of an equation)
Solve: 5(a-1)-15=3(a+2)+4
Mathematics
2 answers:
Svetradugi [14.3K]3 years ago
6 0
We start by using the distributive property to expand the terms 5(a-1) and 3(a+2). When we do, we obtain 5a-5 and 3a+6.

Putting those back into our equation, we have:

5a-5-15=3a+6+4

Next, we combine all of the constants on either side:

5a-20=3a+10

Finally, we want to get the variable a by itself on one side of the equation, so we perform the following steps to isolate it:

5a=3a+30 (Add 20 to both sides)
2a=30 (Subtract 3a from both sides)
a=30/2=15 (Divide both sides by 2 to isolate a)

So, we obtain our answer of a=15.
alexandr402 [8]3 years ago
5 0
5(a-1) - 15 = 3(a+2) + 4
Open all parenthesis and distribute
5a - 5 - 15 = 3a + 6 + 4
Simplify
5a - 20 = 3a + 10
Add both sides by 20 and subtract both sides by 3a
2a = 30
a = 15
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kondor19780726 [428]
You can find this answer multiple ways.

One way is to represent it as an equation and solve for x, The total number of vehicles.

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Or write a proportion using the fraction for 40%.

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3 years ago
For g (2) = 3x – 2 find the value of x<br> -<br> for which g(x) = 10
hram777 [196]

Answer:

For g (2) = 3x -2 find the value of x

The value of x is 2

for which g(x) = 10?

10 = 3x -2

10 +2 = 3x

12 = 3x

x = 12/3

x = 4

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3 years ago
A car travels a distance of 50 km in 30 minutes. what is the average speed​
maks197457 [2]

Answer:

100 km/hour, or 16.67 km/minute

Step-by-step explanation:

7 0
3 years ago
see i don't mind giving my points away..Can anyone help me solve this though for a brainlest and extra points?​
victus00 [196]

Answer:

a=17\sqrt{2}

Step-by-step explanation:

As we have 2 of the angles, we can find the third. The measure of the third angle is 45 degrees.

As this is the same measure as the other, that means that the side length will be the same.

Now was have two side lengths of 17 in a right triangle, so we can use the Pythagorean theorem to find a.

Recall that the pythagorean theorem states: a^2+b^2=c^2

In this case, a is 17, b is 17, and c is a

Knowing this, we can input our value into this formula and solve for a.

17^2+17^2=a^2\\\\289+289=a^2\\\\a=\sqrt{578} \\\\a=17\sqrt{2}

6 0
3 years ago
Read 2 more answers
Bob and James are finishing the roof of a house. Working alone, Bob can shingle the roof in 14 hours. James can shingle the same
Snowcat [4.5K]

we know that Bob can do the whole job in 14 hours, how much of the work has he done in 1 hour only?  well since he can do the whole lot in 14 hours in 1 hour he has only done 1/14 th of the job.

we know that James can do it in 18 hours, a bit slower, so in 1 hour he has done only 1/18 th of the job.

let's say it takes both of them working together say "t" hours, so in 1 hour Bob has done (1/14) of the work whilst James has done (1/18) of the work, the whole work being t/t or 1 whole, so for just one hour that'd 1/t done by both Bob and James.

\bf \stackrel{Bob}{\cfrac{1}{14}}~~+~~\stackrel{James}{\cfrac{1}{18}}~~=~~\stackrel{total~for~1~hour}{\cfrac{1}{t}} \\\\\\ \stackrel{\textit{using an LCD of 126}}{\cfrac{9+7}{126}=\cfrac{1}{t}}\implies \cfrac{16}{126}=\cfrac{1}{t}\implies 16t=126\implies t=\cfrac{126}{16} \\\\\\ \stackrel{\textit{7 hrs, 52 minutes and 30 seconds}}{t=\cfrac{63}{8}\implies t=7\frac{7}{8}}\implies \stackrel{\textit{rounded up}}{t=7.88}

7 0
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