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bezimeni [28]
3 years ago
11

The sum of three integers is 92. The second number is three times the first number. The third number is ten less than twice the

first number. Find the integers.
Mathematics
2 answers:
daser333 [38]3 years ago
4 0
X+y+z=92

y=3x

z=2x-10
subsitute
x+3x+2x-10=92
6x-10=92
add 10 to both sdies
6x=102
divide by 6
x=17
subsitute

y=3x
y=3(17)
y=51

z=2x-10
z=2(17)-10
z=34-10
z=24



x=17
y=51
z=24

the numbers are 17,51,24
ozzi3 years ago
4 0
Always let x equal the number you don't know anything about in this case it's the first number. x= first 3x= second 2x-10= third add and equal to 92 6x-10=92 6x=102 x=17. first substitute 17 for x in the original expressions 51= second 24=third
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dimulka [17.4K]

Answer:

90, B

Step-by-step explanation:

3 x 3 = 9

3 x 3 = 9

6 x 3 = 18

6 x 3 = 18

6 x 3 = 18

6 x 3 = 18

9 + 9 + 18 + 18 + 18 + 18 = 90

7 0
2 years ago
Pls help i really need it
BabaBlast [244]

<u><em>Answer: </em></u>

Median : 23

Mode: 11 and 24

Range: 28

<u><em> </em></u>

<u><em>Step-by-step explanation: </em></u>

A stem-and- leaf plot is a very special table where each " value" is split into a stem.

Basically the stem is the foirst value of the number and the leaves are the last digits.    

Example: A stem of 1 and a leaf of 1 has a value of 11.

              A stem of 1 and a leaf of 2 has a value of 12.

In this case the numbers in the plot are:

11, 11, 12, 13, 14, 15, 22, 23, 24, 24, 27, 32, 35, 37, 39

The questions are :

<u><em> </em></u>

<u><em>1. What is the median? </em></u>

<u><em>2. What is the mode ? </em></u>

<u><em>3. What is the range ? </em></u>

To answer the first question, you need to list them in order.

Then find the center of those numbers. Cross out one number from the left and the right and keep doing it until there is only one ot two numbers.

One number- that is the median

two numbers left - find the mean of the two numbers and that is the median

So in this case the median is 23 crossing out seven numbers on each side.

To answer the second question, you need to find the number that comes up the most. In this case, 11 and 24.

To answer the third and last question, you need to find the mininum value and the maximum and find the difference.

In this case, 11 and 39, the difference is 28.

3 0
2 years ago
I don’t know how to do this.
Ronch [10]

Answer:

(2,-3)

Step-by-step explanation:

When you reflect over the x-axis, you leave the x-axis the same and the y-axis is the opposite of that number. It is the same thing with the y-axis, but the x-axis is the opposite of that number.

5 0
3 years ago
PLZ HURRY IT'S URGENT!!!!!
Salsk061 [2.6K]

Answer:

The correct answer is D) 13%

Step-by-step explanation:

To turn a decimal into a percentage, we simply multiply by 100.

0.13 * 100 = 13%

6 0
3 years ago
A baseball player has a batting average of 0.25. What is the probability that he has exactly 2 hits in his next 7 at bats
marissa [1.9K]

Answer:

The probability that he has exactly 2 hits in his next 7 at-bats is 0.3115.

Step-by-step explanation:

We are given that a baseball player has a batting average of 0.25 and we have to find the probability that he has exactly 2 hits in his next 7 at-bats.

Let X = <u><em>Number of hits made by a baseball player</em></u>

The above situation can be represented through binomial distribution;

P(X = r) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r}; x = 0,1,2,......

where, n = number of trials (samples) taken = 7 at-bats

            r = number of success = exactly 2 hits

            p = probability of success which in our question is batting average

                   of a baseball player, i.e; p = 0.25

SO, X ~ Binom(n = 7, p = 0.25)

Now, the probability that he has exactly 2 hits in his next 7 at-bats is given by = P(X = 2)

          P(X = 2) =  \binom{7}{2}\times 0.25^{2} \times (1-0.25)^{7-2}

                        =  21 \times 0.25^{2} \times 0.75^{5}

                        =  <u>0.3115</u>

5 0
3 years ago
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