Solve: 493x = 3432x + 1. a. x = –3 b. x = 1 c. x = 3 d. no solution

Answers

Answer 1

Answer:

On solving the mentioned equation, the correct answer for value of x will be d. no solution.

We will begin with converting the base to same numbers. As per the fact, 49 is the square of 7 and 323 is the cube of 7. So, the equation will be -

${7²}^(3x) = {7³}^((2x + 1))$

Now, performing the multiplication of both exponents on both sides of the equation

${7}^(6x) = {7}^((6x + 3))$

As the bases are equal, hence will be the exponents.

6x = 6x + 3

6x is common on both sides and hence x will not exist. Thus, no solution is possible.

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The correct question is -

Solve: ${49}^(3x) = {343}^((2x + 1))$ . a. x = –3 b. x = 1 c. x = 3 d. no solution

Answer 2

Answer:

Answer:

It's D, No solution.

Step-by-step explanation:

I did the assignment.

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A coin is biased such that it results in 2 heads out of every 3 coin flips,on average.Which statement is true?A.)The theoretical probability of getting heads from an unbiased coin is about 66%.B.)The sequence HTHTTHTTT is valid for the biased coinC.)The biased coin has about a 33% probability of displaying tails.D.)The sequence HTTHTHTHT is valid for the biased coin.

Answers

The answer is C becuase the biased coin has a probability of 66% of landing on heads so it has a 33% probability to land on tails

My cookbook says that a salad sauce should be made of 1/3 lemon juice and 2/3 oil.I put in 50 ml oil but my hand slipped when adding the lemon juice and the total volume is now 90 ml.
How much oil must I add to have the correct proportions?

A 10 ml B 30 ml C 40 ml D 80 ml

Answers

Answer:

We know that you put (90-50), or 40 ml of lemon juice. If 40 ml of lemon juice is 1/3 of the total sauce, then 80 ml of it should be oil.

So you should add 30 ml more oil to make it proportional.

Let me know if this helps!

What number replaces the Δ? 3 = 3
1 + 3 = Δ + 3

A.
1

B.
3

C.
4

D.
7

Answers

1 + 3 = Δ + 3

By comparing

Δ = 1.

Option A.

The Wilsons have triplets and another child who is fifteen years old. The sum of the ages of their children is 36. How old are the triplets?

Answers

the answer is 37-10=27/3=9

Answer:

Step-by-step explanation:

The Wilsons have triplets and another child who is 15. Since their ages all add up to 36, we can first start off with subtracting 15 from 36.

36 - 15 = 21

Now we can divide the amount we have from the rest amount of kids, since they are triplets, they are 3:

21 / 3 =

if a scale map is 1 cm: 15 Km. find the actual distance corresponding to the scale map. 13) 2.5 cm 14) 0.2 cm 15) 15 cm 16) 4.6 cm

Answers

All you gotta do is multiply the cm by 15,
For 13) you'd do $2.5*15$
14) $0.2*15$
15) $15*15$
then for 16) $4.6*15$

Let

x-------> distance in the map in cm

y-------> actual distance in Km

we know that

$Scale\ Map=(x)/(y) \n \n Scale\ Map=(1)/(15)(cm)/(Km)$

$(x)/(y)=(1)/(15)$

$y=15x$ --------> equation $1$

Part 13) find the actual distance corresponding to the scale map $2.5\ cm$

In this problem we have

$x=2.5\ cm$

Substitute the value of x in the equation $1$ to find the actual distance

$y=15*2.5=37.5\ Km$

therefore

the answer part 13) is

the actual distance is $37.5\ Km$

Part 14) find the actual distance corresponding to the scale map $0.2\ cm$

In this problem we have

$x=0.2\ cm$

Substitute the value of x in the equation $1$ to find the actual distance

$y=15*0.2=3\ Km$

therefore

the answer part 14) is

the actual distance is $3\ Km$

Part 15) find the actual distance corresponding to the scale map $15\ cm$

In this problem we have

$x=15\ cm$

Substitute the value of x in the equation $1$ to find the actual distance

$y=15*15=225\ Km$

therefore

the answer part 15) is

the actual distance is $225\ Km$

Part 16) find the actual distance corresponding to the scale map $4.6\ cm$

In this problem we have

$x=4.6\ cm$

Substitute the value of x in the equation $1$ to find the actual distance

$y=15*4.6=69\ Km$

therefore

the answer part 16

the actual distance is $69\ Km$

6 Rearrange the linear equation so that it is in slope interceptform. Identify the slope (m) and the intercept (b). You must show your work for full creditX-4=2(y - 3)