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yKpoI14uk [10]
2 years ago
6

If 3^2x+1=3^x+5 what is the value of x?

Mathematics
2 answers:
atroni [7]2 years ago
6 0
Did you mean this?    <span>3^2x+1=3^x+5  =>  3^(2x+1) = 3^(x+5)?  If so, then 2x+1 is necessarily equal to x+5, so that 2x+1=x+5.  Thus, x = 4 (answer).

Those parentheses are not optional; they must be part of your problem statement and solution.</span>
lara [203]2 years ago
6 0

Answer:

4

Step-by-step explanation:

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A granola bite contains 27 calories. Most of the calories come from grams of carbohydrates. The rest come from other ingredients
GuDViN [60]

Step-by-step explanation:

Given the expression that modeled the relationship between these quantities (calories from grams of carbohydrate and the rest of the ingredients) as

4c+5 = 27

From the equation, the constant value of 5 represents the calories in grams of  the rest of the ingredients present in the bite.

Let us calculate the value of c from the equation

4c+5 = 27

4c + 5- 5 = 27-5

4c = 22

c = 22/4

c = 5.5

This means that the total calories of carbohydrate the granola bite contains is 4(5.5) i.e 21 calories of carbohydrate

<em>Note that 8 cannot be the solution to the equation because for us to eliminate 5 from both sides of the equation, we need to subtract it from both sides not add. If 5 was added to both sides, the value of c would have been (32/4 i.e 8) which would have been wrong.</em>

7 0
2 years ago
A local hamburger shop sold a combined total of 813 hamburgers and cheeseburgers on Saturday. There were 63 more cheeseburger so
Naya [18.7K]

9514 1404 393

Answer:

  375 hamburgers

Step-by-step explanation:

Let h represent the number of hamburgers. Then h+63 is the number of cheeseburgers, and the combined total is ...

  h +(h +63) = 813

  2h = 813 -63 = 750

  h = 750/2 = 375

375 hamburgers were sold on Saturday.

_____

<em>Additional comment</em>

In a "sum and difference" problem like this, the smaller number is half the difference between the sum and the difference. h = (813 -63)/2 = 375. This generic solution applies to all "sum and difference" problems.

8 0
2 years ago
How many gallons each of 20​% alcohol and 10​% alcohol should be mixed to obtain 10gal of 11​% ​alcohol?
Scilla [17]

Answer:

20​% alcohol = 1 gal

10​% alcohol = 9 gal

Step-by-step explanation:

Let

x = 20​% alcohol

y = 10​% alcohol

x + y = 10 (1)

0.20x + 0.10y = 10*0.11

0.20x + 0.10y = 1.1 (2)

From (1)

x = 10 - y

Substitute x = 10 - y into (2)

0.20x + 0.10y = 1.1

0.20(10 - y) + 0.10y = 1.1

2 - 0.20y + 0.10y = 1.1

- 0.20y + 0.10y = 1.1 - 2

-0.10y = -0.9

y = -0.9/-0.10

y = 9 gal

substitute y = 9 into (1)

x + y = 10

x + 9 = 10

x = 10 - 9

x = 1 gal

20​% alcohol = 1 gal

10​% alcohol = 9 gal

6 0
3 years ago
Plz help geometry will mark brainliest
stellarik [79]
15+16+10 =41
BH= 41
Bd=15
Df=16
Fh=10

Plz mark me brainalist answer
3 0
2 years ago
Y= 4x - 3<br> How do I graph this equation?
nevsk [136]

Answer:

y intercept is -3, go up 4 over 1

Step-by-step explanation:

7 0
3 years ago
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