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2 years ago

Which number line correctly shows 4.5 – 2.5?

Mathematics

2 answers:

Kitty [74]2 years ago

8 0

Answer: First option is correct.

Step-by-step explanation:

Since we have given that

$4.5-2.5$

According to the number line,

First we go 4.5 units towards the positive axis of x from the origin.

And then back by 2.5 units from there towards the negative axis of x to show the subtraction.

So, it will interpretate the subtraction of 2.5 from 4.5.

Numerically, it is expressed as

4.5-2.5=2

So, It should reach at 2 in the positive axis of x.

Hence, First option is correct.

worty [1.4K]2 years ago

6 0

I say the third one because the end-points start where they are supposed to start/ end.

You might be interested in

Write 2/3 as a decimal rounded to 3 sighificant figures

jasenka [17]

Answer:

$0.667$

Step-by-step explanation:

2/3= 0.66666

Dividing the given value to obtain the decimal value gives:

$\frac{2}{3} =0.6666666666666667$

The last number is 7 which is greater than 5 this will increment the previous number by 1.

As,the previous values are also '6', so this step will continue till three significant figures.

$0.666666666666667\\0.66666666666667\\0.6666666666667\\0.666666666667\\0.66666666667\\0.6666666667\\0.666666667\\0.66666667\\0.6666667\\0.666667\\0.66667\\0.6667\\0.667$

So the value rounded up to 3 significant is $0.667$

8 0

3 years ago

Nicole works 50 hours a week and earns $25 per hour. Her company pays overtime of one and half times for all hours worked over 4

ankoles [38]

Her gross weekly pay would be $1375.

25 * 40 = $1000

time and a half means she would make $37.50 for the 10 hours overtime she works. 10 * 37.5 = 375

375 + 1000 = $1375

4 0

3 years ago

Is 12/42=10/35 a true proportion

olya-2409 [2.1K]

Yes, they both are 2/7

Proof: Left-hand side

Simplify the following:
12/42

The gcd of 12 and 42 is 6, so 12/42 = (6×2)/(6×7) = 6/6×2/7 = 2/7:
Answer: 2/7
Right-hand side:

Simplify the following:
10/35
The gcd of 10 and 35 is 5, so 10/35 = (5×2)/(5×7) = 5/5×2/7 = 2/7:
Answer: 2/7

3 0

3 years ago

What is the equation of the line shown in the graph? (-3,1) (2,-4)

ki77a [65]

Answer:

x + y = -2

Step-by-step explanation:

The two primary equations to remember when dealing with graphing 2-variable equations are: ax + by = c (a & b are the x & y coefficients, respectively), and the other is y = mx + c (m = slope, x & y represent themselves). There is another equation to find the slope. If not already known, it's: ∆y/∆x {∆(aka Delta) = difference}. So, since that's all been established, we can proceed to calculate your question:

1) Find your slope: 1 - (-4) = 5 for your y-variable. And -3 - 2 = -5 for your x-variable. So your slope = 5/-5 = -1

2) Use the y = mx + c equation together with either set of (x,y) coordinates to get the equation 1 = (-1)(-3) + c. Which gives you c = -2

3) So, going back to the main equation to remember, the ax + by = c, use a one of your given sets of x,y coordinates and input your known values for x, y, & c to get: a(-3) + b(1) = (-2) and do the same with other set (these are just double-checks, coefficients are all equal to 1 anyways). So, you should arrive to the equation: x + y = -2

4 0

2 years ago

Find the mean, the median, and all modes for the data in the given frequency distribution. (Round your answers to one decimal pl

kvasek [131]

Answer: Mean = 7.8

Median = 9

Mode = 2,9

Step-by-step explanation: Mean is the average value of a data set. Mean from a frequency table is calculated as:

$E(X)=\frac{2(10)+3(9)+9(10)+11(7)+12(3)+15(4)+16(3)}{10+9+10+7+3+4+3}$

E(X) = 7.8

Mean for the given frequency distribtuion is 7.8.

Median is the central term of a set of numbers. Median in a frequency table is calculated as:

1) Find total number, n:

n = 10 + 9 + 10 + 7 + 3 + 4 + 3 = 46

2) Find position, using: $\frac{n+1}{2}$

$\frac{n+1}{2}=\frac{47}{2}$ = 23.5

Median is in the 23.5th position.

3) Find the position by adding frequencies: for this frequency distribution, 23.5th position is 9

Median for this frequency distribution is 9.

Mode is the number or value associated with the highest frequency.

In this frequency distribution, 2 and 9 points happen 10 times. So, mode is 2 and 9.

Mode for this distribution is 2 and 9.

7 0

3 years ago