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loris [4]
3 years ago
10

Given the expression -15 (10 2/3) A. Rewrite the expression using distributive property B. Evaluate the expression in show all y

our work.
Mathematics
1 answer:
Ainat [17]3 years ago
8 0

9514 1404 393

Answer:

  -160

Step-by-step explanation:

  -15(10 2/3) = -15(10) +(-15)(2/3) = -150 -30/3 = -150 -10 = -160

The mixed number can be written as the sum of an integer and a fraction. The multiplier then multiplies the integer and the fraction separately, and the two products are added.

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MATH DETECTIVE:
sergeinik [125]

Answer:

- 5

Step-by-step explanation:

"I am a negative integer greater than -6."

This eliminates any number that is less than -6, as well as any positive number.

0 > x > -6

"I am less than -2."

This narrows down the possible numbers to:

-5, -4, -3.

"I am not equal to -2 + (-1)"

-2 + - 1

-2 - 1

- 3

The number is not '-3'.

"I am not equal to 2 - 6."

2 - 6

- 4

The number is not -4.

Your number should be -5.

Hope this helps.

6 0
2 years ago
Which products have the same sign as (Negative 2 and StartFraction 3 over 7 EndFraction) (Negative StartFraction 6 over 11 EndFr
avanturin [10]
Answer : A

Hope this helps
5 0
3 years ago
A standardized​ exam's scores are normally distributed. In a recent​ year, the mean test score was 14901490 and the standard dev
kicyunya [14]
<h2>Answer with explanation:</h2>

Given : A standardized​ exam's scores are normally distributed.

Mean test score : \mu=1490

Standard deviation : \sigma=320

Let x be the random variable that represents the scores of students .

z-score : z=\dfrac{x-\mu}{\sigma}

We know that generally , z-scores lower than -1.96 or higher than 1.96 are considered unusual .

For x= 1900

z=\dfrac{1900-1490}{320}\approx1.28

Since it lies between -1.96 and 1.96 , thus it is not unusual.

For x= 1240

z=\dfrac{1240-1490}{320}\approx-0.78

Since it lies between -1.96 and 1.96 , thus it is not unusual.

For x= 2190

z=\dfrac{2190-1490}{320}\approx2.19

Since it is greater than 1.96 , thus it is unusual.

For x= 1240

z=\dfrac{1370-1490}{320}\approx-0.38

Since it lies between -1.96 and 1.96 , thus it is not unusual.

5 0
3 years ago
Segment AB has endpoints at A(-7,2) and b(9,-6). Point P lies on AB such that AP:BP=3:1
bekas [8.4K]

The coordinates of the point P which divides the line segment AB made by the points A(-7,2) and B(9,-6) is  (x,y) = (5,-4)

<h3>What is the coordinate of the point which divides a line segment in a specified ratio?</h3>

Suppose that there is a line segment \overline{AB}such that a point P(x,y) lying on that line segment \overline{AB} divides the line segment  \overline{AB} in m:n, then, the coordinates of the point P is given by:

(x,y) = \left( \dfrac{mx_2 + nx_1}{m+n} , \dfrac{my_2 + ny_1}{m+n} \right)

where we have:

  • the coordinate of A is (x_1, y_1)
  • and the coordinate of B is (x_2, y_2)

We're given that:

  • Coordinate of A is (x_1, y_1) = (-7,2)
  • Coordinate of B is (x_2, y_2) = (9.-6)
  • The point P lies on AB such that AP:BP=3:1 (so m = 3, and n = 1)

Let the coordinate of P be (x,y), then we get the values of x and y as:

(x,y) = \left( \dfrac{mx_2 + nx_1}{m+n} , \dfrac{my_2 + ny_1}{m+n} \right)\\\\(x,y) = \left( \dfrac{3(9) + 1(-7)}{3+1} , \dfrac{3(-6) + 1(2)}{3+1} \right)\\\\(x,y) = \left( \dfrac{20}{4} , \dfrac{-16}{4} \right) = (5,-4)

Thus, the coordinates of the point P which divides the line segment AB made by the points A(-7,2) and B(9,-6) is  (x,y) = (5,-4)

Learn more about a point dividing a line segment in a ratio here:

brainly.com/question/14186383

#SPJ1

4 0
2 years ago
How many solutions does 4x + 5 = 6(x + 3) - 20 - 2x have? Show your work. SOLUTION ​
liq [111]

Answer:

There are no solutions.

Step-by-step explanation:

4x+5=6x+18-20-2x (Distributive Property)

4x+2x-6x=18-20+5 (Combine Like Terms)

0=3 (Simplify)

That doesn't make any sense, so there are no solutions.

7 0
3 years ago
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