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3 years ago

Solve for x in this equation. 7^3x-17 = 49^x

Mathematics

2 answers:

love history [14]3 years ago

4 0

Answer: x=17

Write in exponential form: 7^3x-17 = 7^2x
3x-17=2x
-2x -2x
————-
X=17

vlada-n [284]3 years ago

3 0

Answer:

X = 17

Step-by-step explanation:

If you created equivalent expressions with equal bases that should be the answer.

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andriy [413]

That is definitely true.

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3 years ago

When the members of a family discussed where their annual reunion should take place, they found that out of all the family mem

Doss [256]

Answer:

The total number of family members is 21.

Step-by-step explanation:

To solve this problem, we must build the Venn's Diagram of these sets.

I am going to say that:

-The set A represents those that would not go to a park.

-The set B represents those who would not go to a beach.

-The set C represents those who would not go to the family cottage.

The value d represents those who would go to all three places.

We have that:

$A = a + (A \cap B) + (A \cap C) + (A \cap B \cap C)$

In which a are those that would only not go to a park, $A \cap B$ are those who would not got to a park or to the beach, $A \cap C$ are those who would not go to a park or to the famili cottage. And $A \cap B \cap C$ are those that would not go to any of these places.

By the same logic, we have:

$B = b + (B \cap C) + (A \cap B) + (A \cap B \cap C)$

$C = c + (A \cap C) + (B \cap C) + (A \cap B \cap C)$

This diagram has the following values:

$a,b,c,d,(A \cap B), (A \cap C), (B \cap C), (A \cap B \cap C)$

The total number of family members is the sum of all these values:

$T = a + b + c + d + (A \cap B) + (A \cap C) + (B \cap C) + (A \cap B \cap C)$

We start finding the values from the intersection of the three sets

5 would not go to a park or a beach or to the family cottage.

This means that $A \cap B \cap C = 5$

1 would go to all three places. This means that $d = 1$ .

8 would go to neither a park nor the family cottage

This means that:

$A \cap C + (A \cap B \cap C) = 8$

$A \cap C = 3$

8 would go to neither a beach nor the family cottage

$B \cap C + (A \cap B \cap C) = 8$

$B \cap C = 3$

7 would go to neither a park nor a beach

$A \cap B + (A \cap B \cap C) = 7$

$A \cap B = 2$

15 would not go to the family cottage

$C = 15$

$C = c + (A \cap C) + (B \cap C) + (A \cap B \cap C)$

$15 = c + 3 + 3 + 5$

$c = 4$

12 would not go to a beach

$B = 12$

$B = b + (B \cap C) + (A \cap B) + (A \cap B \cap C)$

$12 = b + 3 + 2 + 5$

$b = 2$

11 would not go to a park

$A = 11$

$A = a + (A \cap B) + (A \cap C) + (A \cap B \cap C)$

$11 = a + 2 + 3 + 5$

$a = 1$

Now, we can find the total number of family members.

$T = a + b + c + d + (A \cap B) + (A \cap C) + (B \cap C) + (A \cap B \cap C)$

$T = 1 + 2 + 4 + 1 + 2 + 3 + 3 + 5$

$T = 21$

The total number of family members is 21.

5 0

3 years ago

For his son's birthday party, Mr. Mori bought four equally-priced pizzas and a $3 bag of potato chips. If he spent $39, find the

trasher [3.6K]

Answer:

the pizza cost $49 dollars

4 0

3 years ago

Read 2 more answers

What is the slope of the line that passes through the points (-8, -3)(−8,−3) and (-12, -3) ?(−12,−3)? Write your answer in simpl

Darya [45]

Answer:

$\\ \frac{y2 - y1}{x2 - x1} = \frac{ - 3 - ( - 3)}{ - 12 - ( - 8)} = \frac{ - 3 + 3}{ - 12 + 8} = 0 \div ( - 4) = 0$

6 0

3 years ago

Figure f is a scaled copy of Figure e.

Mekhanik [1.2K]

The correct equation of the scaled figure is given by 6/3 = 4/a

<h3>Scaling</h3>

Scaling is the process of either increasing or decreasing the size of a figure by a factor.

From the diagram attached, Figure f is a scaled copy of Figure e. Figure e is decreased to produce figure f, hence:

AB/XY = CD / WZ
6/4 = 3 / a
6/3 = 4/a

The correct equation of the scaled figure is given by 6/3 = 4/a

Find out more on scaling at: brainly.com/question/10253650

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2 years ago