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joja [24]
3 years ago
12

7x-5=8(x+3) solve for x​

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
6 0

Answer:

The value of x is -29.

Step-by-step explanation:

We are given an algebraic equation and have one goal: solve for x. We can use simplifying techniques as well as addition and subtraction to solve this equation.

\text{7x - 5 = 8(x + 3) \ \ \ Distribute the 8 throughout the parentheses.}\\\text{7x - 5 = 8x + 24 \ \ \ \ Subtract 7x from both sides.}\\\text{-5 = x + 24 \ \ \ \ \ \ \ \ \ \ Flip the equation.}\\\text{x + 24 = -5 \ \ \ \ \ \ \ \ \ \ Subtract 24 from both sides.}\\\small\boxed{\bold{{x = -29}}}

Now that we have solved for x, we can plug in -29 to see if we get a true statement.

\text{7(-29) - 5 = 8(-29 + 3)}\\\text{-203 - 5 = -232 + 24}\\\text{-208 = -208} \ \checkmark

Because we ended up with a true statement, we have determined that the value of x is -29.

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Select the correct answer.
Maurinko [17]

Answer:

  D.  $432.84

Step-by-step explanation:

The average daily balance is the weighted sum of the balances. The weight in each case is the number of days the account had that balance.

  adb = (7×745.00 +10×585.15 +7×245.20 +7×90.75)/(7+10+7+7)

  = 13,418.15/31

  = 432.84

Nia's average daily balance was $432.84.

7 0
3 years ago
Pizza is served in the school cafeteria every fourth school day. Tacos are served every third school day. Both Pisa and tacos we
Oliga [24]

<u>Answer: </u>

Tacos and Pizza both will be served on 12th day of school

<u>Explanation:</u>

Given, pizza is served in the school cafeteria every fourth school day.

And, on every 3rd school day Tacos are being served.

If both are served today then we have to find the number of days after which both will be served on the same day again.

Taking LCM  of 4 and 3 to solve the question,

LCM of 4 and 3 = 4×3 = 12

Therefore, after 12 days both will be served on the same day.

5 0
3 years ago
I really need help can someone please help me I posted this before but no one answers pls help me quick don't be like other fool
solmaris [256]
P = 4ft

Explanation:
take 5 and 3, add them together = 8. "straight down to double its distance" so that would mean to do either 8 divided by 2 or 4 x 2. 4 x 2 - 3 = 5 (5 = final position). p = 4ft
8 0
2 years ago
If these two shapes are similar what is the measure of the missing lenghts
Pachacha [2.7K]

Answer:

S is equal to 3

Step-by-step explanation:

if you divide 12 by 4 then you get three and then you have to times it by the other number 1 so the shapes are equal

4 0
3 years ago
The hypotenuse and one of the legs of a right triangle form an angle that has a cosine of 2 2 . what is the measure of the angle
creativ13 [48]
The correct question is
The hypotenuse and one of the legs of a right triangle form an angle that has a cosine of √<span>2/2 . 
What is the measure of the angle? 

Let
</span>∅--------> the angle
cos ∅=√2/2<span>
cos </span>∅=[distance of one of the leg/hypotenuse]
[distance of one of the leg/hypotenuse]=√2/2

<span>I could say that
</span>distance of one of the leg=√2
and 
hypotenuse=2
so
<span>applying the Pythagorean theorem
</span>c=hypotenuse=2
a=√2
b=?
c²=a²+b²-------> b²=c²-a²------> b²=2²-(√2)²-----> b²=2-----> b=√2

therefore
if a=b
then 
the angle ∅=45°

the answer is the option
<span>b.45 degrees</span>
7 0
3 years ago
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