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4 years ago

Simplify the expression. | 10 - (-7) | *

Mathematics

1 answer:

Trava [24]4 years ago

8 0

Answer:

The answer is 17 because whenever you subtract a negative from a positive, just change both the negative and subtraction sign into a addition sign.

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Solve linear equations <br><br> Solve for x <br><br> -2(4x + 3) = 3(x + 1)

inna [77]

Answer:

x = - $\frac{9}{11}$

Step-by-step explanation:

Given

- 2(4x + 3) = 3(x + 1) ← distribute parenthesis on both sides

- 8x - 6 = 3x + 3 ( subtract 3x from both sides )

- 11x - 6 = 3 ( add 6 to both sides )

- 11x = 9 ( divide both sides by - 11 )

x = - $\frac{9}{11}$

7 0

3 years ago

Read 2 more answers

2. What is the surface area of the triangular prism below?

grandymaker [24]

2 x Area of the triangular ends.
= 2 x ( 1/2 bh)
= 2 x (1/2 x 6.8 x 5.1)

2 x Area of rectangular sides
= 2 x lw
2 x (6.1 x 13)

Area of bottom
= lw
= 6.8 x 13

Now add all three results together for the surface area.

6 0

3 years ago

Drew writes down a number between 1 and 1000. Mary must determine that number by asking "yes/no" questions of Drew. Mary knows t

frozen [14]

Answer: 10 questions.

Step-by-step explanation:

The optimal aproach would be divide the total range in half, for example, she can ask:

Is the number equal or greater than 500?

if he answers no, now she knows that the numer is in the range 1 to 499

if he says yes, she can know that the number is in the range 500 to 1000.

Now, suppose that the answer is yes.

Now she can ask if the number is equal or greater than 750.

Now we have two possible sets. (500, 749) and (750 , 1000).

Now we can divide those sets again, depending on the answer.

suppose we got the set of (750, 1000)

we can divide it into two sets and so on.

So, we have 999 options and we want to divide it by 2 until we reach to 1., the number of divisions by 2 is the number of times that she asked a question.

999/2^n ≤ 1.

we must find the smaller n that keeps the above inequality true.

999 ≤ 2^n

knowing that 2^10 = 1024.

999/1024 = 1024

So in the worst case, she should ask 10 questions.

4 0

4 years ago

(1 point)

kodGreya [7K]

*the box plots are shown in the attachment below.

Answer:

The median hours spent in the weight room for school 1 is less than the median for school 2 and the interquartile ranges for both.

Step-by-step explanation:

Median on a box plot is depicted by the vertical line that divides the rectangular box into 2.

The median hours for school 1 = 8

The median hours for school = 9

Interquartile range on a box plot is the range of the rectangular box.

Interquartile range for school 1 = 10 - 4 = 6

Interquartile range for school 2 = 12 - 6 = 6

Therefore, it is true that the median hours spent by school 1 (8 hrs) is less than the median hours spent by school 2 (9 hours).

It is also true that the jnterquartile range for school 1 and school tok are also equal (6).

3 0

4 years ago

Li rolls a number cube labeled 1 to 6 a total of 24 times. How many times can she expect to roll a 1

scoundrel [369]

Li can expect to roll a one 4 times.

Since there are six possibilities (1, 2, 3, 4, 5 & 6), you divide 24 and 6 to get 4.

8 0

3 years ago

Read 2 more answers