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OLga [1]
3 years ago
12

10 points!

Mathematics
1 answer:
Goryan [66]3 years ago
4 0

Answer:

30 feet

Step-by-step explanation:

A ratio of 4:3 means that if one part can be represented by x, the original height is equal to 4 * x and the mural height is equal to 3 * x. This is because the ratio of original : mural is 4 : 3, so if one part = x, we have 4 * x : 3 * x. Therefore,

original mast height = 40 feet

4 * x = original mast height = 40 feet

divide both sides by 4 to get x

x = 10 feet

3 * x = mural mast height = 3 * 10 feet = 30 feet

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The mean, median, and unique mode of the positive integers 3, 4, 5, 6, 6, 7, and xare all equal. What is the value of x
prisoha [69]

Given :

Positive integers 3, 4, 5, 6, 6, 7, and x are all equal.

To Find :

The mean, median, and unique mode are all equal , find x.

Solution :

mean = \dfrac{3+4+5+6+6+7+x}{7}

Median is the middle number in sorted list.

So, median = 6

Also, mode is the number with highest frequency.

mode = 6

So,

mean = mode = median

\dfrac{31+x}{7}=6=6\\\\x = 11

Hence, this is the required solution.

5 0
2 years ago
Dr. W Sweet Rides Car Rental charges a flat fee of $24 and an additional $0.35 for every mile the car is driven. Which function
murzikaleks [220]

Answer:

c = 0.35 x + 24

Step-by-step explanation:

First, let's go over the information we have. We know that no matter what, Dr. W Sweet will charge a base fee of $24, and that for each additional mile, he will charge 35¢. Now let's make an equation reflecting this information:

cost = 35¢ (number of miles) + $24 (starting fee)

We can also write this like this:

c = 0.35x + 24

If you want to test this equation, put in a value for the x variable, like so:

Value: 25 miles

c = 0.35(25) + 24 \\ c = 8.75 + 24 \\ c = 32.75

For this situation, the cost will be $32.75. I hope this helps! If you have questions, comment on this response, I should write back reasonably quickly.

4 0
3 years ago
(3 + 4i) + (5 − 2i) (2 points) −2 + 6i 2 − 2i 7 + 3i 8 + 2i
k0ka [10]

Answer:

8+2i

Step-by-step explanation:

Combine like terms

3+5=8

4i-2i=2i

6 0
3 years ago
HELP!!!! Graduation depends on you guys today
Nonamiya [84]
There are the combinations that result in a total less than 7 and at least one die showing a 3:

[3, 3] [3,2] [2,1] [1,3] [2,3]
The probability of each of these is 1/6 * 1/6 = 1/36

There is a little ambiguity here about whether or not we should count [3,3] as the problem says "and one die shows a 3." Does this mean that only one die shows a 3 or at least one die shows a 3? Assuming the latter, the total probability is the sum of the individual probabilities:

1/36 + 1/36 + 1/36 + 1/36 + 1/36 = 5/36

Therefore, the required probability is: 5/36
3 0
3 years ago
Solve the system using substitution. -2x+5y=19<br> 3x-4=y
omeli [17]

Answer:

answer is x=3 and y=5.... so it is (3,5)

Step-by-step explanation:

you want to combine them so y=3x-4 so subsitute y

-2x+5(3x-4)=19

-2x+15x-20=19

            +20   +20

13x=39

---    ---

13     13

x=3

now subsitute 3 into x into any problem...

3(3)-4=y

9-4=y

and 9-4 is 5 so it is...

(3,5)

pls give me brainliest

4 0
3 years ago
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