What is the slope of the line passing through the points (–3, 4) and (2, –1)?A.

3/5

B.

–1

C.
1

D.

-5/3

Answers

Answer 1

Answer: to find the slope, we find that by (y₁-y₂)/(x₁-x₂) so
(4-(-1))/(-3-2)=5/-5 and dividing a negative by a positive=a negative so the slope is -1
the answer is B

Answer 2

Answer: Slope of the line using the two points (-3,4), (2,-1) given.
x1 = -3, y1 = 4, x2 = 2, y2 =-1

m = (y2 - y1) / (x2 - x1).

m = (-1 - 4)/(2 - - 3).

m = -5/ (2 + 3) = - 5/5.

m = -1
Therefore slope, m = -1. So it is option B.

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How can you use base ten blocks to find 2.16 divided by 3

Answers

For this question, let's move the decimal number 2 spaces to the right. 2.16-->216You need 21 ten rods and 6 cubes. Why: I wouldn't do 2 hundred flats because 2 isn't divisible by 3.Put the ten rods into 3 equal group, then do the same with the cubes.You should end up with 7 in each group since 21 divided by 3 is 7.You should also end up with 2 cubes in each group.So in one group you have 72. Now move the decimal back to where it came from, 2 spaces to the left. Now you have 0.72.

Final answer:

Using base ten blocks to divide 2.16 by 3 involves representing 2.16 with the blocks, then dividing them into three equal groups. The result is 0.72.

Explanation:

To use base ten blocks to find 2.16 divided by 3, we first represent the number 2.16 using base ten blocks. This can include two 1-blocks, one 1/10-block (which represents 0.1), and six 1/100-blocks (which represent 0.1 each). Then we divide these blocks evenly among three groups, as we're dividing by 3.

Each group would end up with 0.72, as we would distribute the 1-blocks, the 1/10-block, and the 1/100-blocks evenly among the 3 groups. Therefore, 2.16 divided by 3 is 0.72 when using base ten blocks.

Learn more about Division using base ten blocks here:

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What is 2.54 as a mixed number?
What is 3.750 as a mixed number?

Answers

$2.54=2+0.54=2+(54)/(100)=2(54:2)/(100:2)=\boxed{2(27)/(50)}\n\n3.750=3.75=3+0.75=3+(75)/(100)=3(75:25)/(100:25)=\boxed{3(3)/(4)}$

2.54 is pronounced two and fifty four hundredths so u would write it exactly as u hear it. 2, and 52 over 100. So, 2.54 is 2 and 54/100. This can be simplified to 2 and 27/50. 3.750 is the same as 3.75 so it is pronounced three and seventy five hundredths. Same as the other example, this is 3 and 75/100. This can be simplified to 3 and 3/4 because both 75 and 100 can be divided by 25.

What is the answer to -4/5 + 3/20 =

Answers

$- (4)/(5) + (3)/(20)$

First, find the LCD of the two denominators.
Multiples of 5: 5, 10, 15, 20
Multiples of 20: 20
The LCD is 20.
Second, make the denominators the same as the LCD. / Your problem should look like: $-(4x4)/(5x4) + (3)/(20)$
Third, simplify so that the denominators are the same. / Your problem should look like: $- (16)/(20) + (3)/(20)$
Fourth, combine the denominators. / Your problem should look like: $(-16+3)/(20)$
Fifth, simplify. / Your problem should look like: $-(13)/(20)$

Answer as fraction: $- (13)/(20)$
Answer as decimal: -0.65

The answer to your question is: -4/5 + 3/20 = -0.65

Alex bought a dirt bike for $2,500. What was Alex's total cost for the dirt bike if the sales tax was 7%?

Answers

$2,675
2,500+(2,500*0.07)

2675 (use calculator)

How do you write 4,350,762 in word form

Answers

four million, three hundred, fifty thousand, seven hundred, sixty-two

four million three hundred fifty ,seven hundred sixty two

NEED ANSWER FAST PLEASE!Sabina explains that the probability she will be late is greater than 0.5 but less than 0.6. Explain in your own words what this means.

Answers

Sabina is saying that there's almost an even chance that she will be late, but she has a slightly higher chance of being late than early. (Because 0.5 is half, but she said it's more than 0.5.)

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