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Volgvan
3 years ago
10

The product of six and the sum of a number x and nine equals two times x subtracted from four.

Mathematics
1 answer:
Marina86 [1]3 years ago
3 0

Answer:

x=-15.5

Step-by-step explanation:

Write down what the problem is saying;

6(x+9)=2(x-4)

Distribute;

6(x+9)=2(x-4)\\\\(6)(x)+(9)(6)=(2)(x)+(2)(-4)\\

Simplify,

6x + 54 = 2x - 8

Inverse operations,

6x + 54 = 2x - 8\\-2x\\\\4x + 54 = -8\\-54\\\\4x = - 62\\/4\\\\x =-15.5

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In one school, a half of all students who like math like science as well. Also, in that school, a third of all students who like
Marizza181 [45]

Answer: 2/3

Step-by-step explanation:

N is the total number of students

M is the number of students thta like math

S is the number of students that like science.

We know that half of the elements in M also are elements from S

And a third of the elements of S also are elements of M

And because those elements are common elements for both sets, we should have that:

M/2 = S/3

then we have that:

M = (2/3)*S

The ratio is 2/3

this means that the number of students that like math is 2/3 times the number of students that like science.

6 0
3 years ago
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7x + 4x <br><br> I need help plz
Firlakuza [10]

Answer:

11x

Step-by-step explanation:

They have the same variable so just add the two numbers

6 0
3 years ago
Help gai I need help its a math
dem82 [27]

Answer:

B

Step-by-step explanation:

Rewriting in slope-intercept form.

x - 2y = 0

Add -x on both sides.

- 2y = 0 - x

Divide both sides by -2.

y = 0/-2 - x/-2

y = 0 - - 1/2x

y = 0 + 1/2x

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6 0
3 years ago
Your teacher gives you a number cube with numbers 1-6 on its faces. You are asked to state a theoretical probability model for r
butalik [34]

The missing part of the question is show in bold format.

Your teacher gives you a number cube with numbers 1-6 on its faces. You are asked to state a theoretical probability model for rolling it

once. Your probability model shows a probable outcome of 1/6 for each of the numbers on the cube, 1 chance for all any of the 6 numbers.

You roll it 500 times and get the following data:

Outcome 1 2 3 4 5 6

Frequency 77 92 75 90 76 90

Exercises 1–2

1. If the equality model was correct, about how many of each outcome

would you expect to see if the cube is rolled 500 times

2. Based on the data from the 500 rolls, how often were odd numbers observed? How often were even numbers observed?

Answer:

Step-by-step explanation:

1.

If the equally likely model was correct,  about how many of each outcome

would you expect to see if the cube is rolled 500 times.

The probability of rolling any of the numbers from 1 to 6 is  p(1/6)

The number of each of the outcomes expected to be seen in 500 rolls of the number cube is np

= 500 * \frac{1}{6}  \\ \\ = \frac{500}{6} \\ \\  = 83.333 \\ \\ \approx 83

2.  From the given data in the roll;

The odd numbers 1, 3 and 5, were obtained at  77, 75 and 76 times respectively.

Thus, the total number of times odd number were rolled = 77 + 75 + 76 = 228

Probability of an odd number turning up = \frac{ number \ of  \ required  \ outcome}{ total \  number  \ of  \ possible \ outcome}

= \frac{228}{500}

= 0.456

= 45.6%

The even numbers, 2, 4 and 6, were obtained 92, 90 and 90 times respectively.

The total number of times even number were rolled = 92 + 90 + 90 = 272

Probability of an even number turning up  = \frac{ number \ of  \ required  \ outcome}{ total \  number  \ of  \ possible \ outcome}

= \frac{272}{500}

= 0.544

= 54.4%

4 0
3 years ago
Find the distance between (-4,2) and (10,2).
satela [25.4K]

Answer:

14

Step-by-step explanation:

1) To find the distance between two points you'll need to use the distance formula:

d=\sqrt{(x1 - x2)^{2} + (y1 - y2)^{2} }

2) Figure out which points you'll want to set:

(x1,y1) = (-4,2) (x2,y2) = (10,2)

3) Substitute your values into the formula:

= \sqrt{(-4 - 10)^{2} + (2-2)^{2} }\\= \sqrt{(-14)^{2} + (0)^{2} }\\= \sqrt{196 }\\= 14

8 0
3 years ago
Read 2 more answers
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