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puteri [66]
2 years ago
15

Simplify 3k - (2m + 5K) - m

Mathematics
2 answers:
Bingel [31]2 years ago
4 0

Answer:

-3m-2k

Step-by-step explanation:

<em>Given to simplify : 3k - (2m + 5K) - m</em>

<em>Solution :</em>

<em />\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a+b\right)=-a-b

-\left(2m+5k\right)=-2m-5k

=3k-2m-5k-m

\mathrm{Group\;like\;terms}

=-2m-m+3k-5k

\mathrm{Group\;like\;terms}

=-3m+3k-5k

\mathrm{Group\;like\;terms}

=-3m-2k

[RevyBreeze]

Luda [366]2 years ago
3 0
<h3>hello!</h3>

Use the distributive property:-

-(2m+5k) = -2m-5k \checkmark

\rule{270}{1}

Let's simplify this expression by combining like terms:-

\bigstar The like terms are:-

3k, -5k

and

-2m, -m

\bigstar{ Combine Like terms:-

3k-5k=-2k

-2m-m=-3m

Hence, we have:-

\bigstar{\boxed{\pmb{-2k-3m}}

<h3>note:-</h3>

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

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Will give brainliest.
In-s [12.5K]

Answer:

y = 3x -8

Step-by-step explanation:

I find it convenient to start with a version of the point-slope form of the equation for a line. That is, for point (h, k) and slope m, ...

y = m(x -h) +k

For your m=3 and (h, k) = (3, 1), this equation becomes ...

y = 3(x -3) +1

Eliminating parentheses puts this in the form you desire:

y = 3x -8

6 0
2 years ago
In a study of the effect of college student employment on academic performance, the following summary statistics for GPA were re
11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μemployed(μ1) be the sample mean of students who are employed and μnot employed(μ2) be the sample mean of students who are not employed

The random variable is μ1 - μ2 = difference in the mean of the employed and unemployed students.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 < μ2 H1 : μ1 - μ2 < 0

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(μ1 - μ2)/√(s1²/n1 + s2²/n2)

From the information given,

μ1 = 3.22

μ2 = 3.33

s1 = 0.475

s2 = 0.524

n1 = 172

n2 = 116

t = (3.22 - 3.33)/√(0.475²/172 + 0.524²/116)

t = - 1.81

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [0.475²/172 + 0.524²/116]²/[(1/172 - 1)(0.475²/172)² + (1/116 - 1)(0.524²/116)²] = 0.00001353363/0.00000005878

df = 230

We would determine the probability value from the t test calculator. It becomes

p value = 0.036

Since alpha, 0.05 > than the p value, 0.036, then we would reject the null hypothesis.

Therefore, at a 5% significant level, this information support the hypothesis that for students at this university, those who are not employed have a higher mean GPA than those who are employed

3 0
3 years ago
You can use an arithmetic operator to return the modulus of a calculation, which is the ____ when you divide one number by anoth
balandron [24]

Answer:

<u>Residue</u>

Step-by-step explanation:

Let a and b be integers. We define a mod b to be the residue of dividing a by b. For example, if a evenly divides b, then a mod b=0, 20 mod 6= 2. The modulus operator is widely used in programming, and it is convenient when a and b are large numbers.

a mod b is always a nonnegative integer. In fact, 0≤ a mod b≤ |b-1| by the division algorithm. a and b can also be negative integers. Since 8=-(-5)+3 then 8 mod -5= 3.

As a final example, some known properties can be rewritten in terms of mod. a mod 2=0 if and only if a is even. a mod 2=1 if and only if a is odd.

7 0
2 years ago
Ribbon A is 1/3 meters long. It is 2/5 meters shorter than ribbon b. What's the total length of 2 ribbons?
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1/3+2/5=5/15+10/15
answer is 1
4 0
3 years ago
Graph the set of points. which model is most appropriate for the set? (-6, -1)(-3, 2)(-1,4)(2,7)
lianna [129]
For this case, the first thing to do is to graph the following ordered pairs:
 (-6, -1)
 (-3, 2)
 (-1,4)
 (2,7)
 We observe that the graph is a linear function with the following equation:
 y = x + 5
 Note: see attached image.
 Answer:
 
The function that best represents the ordered pairs is:
 
y = x + 5

5 0
3 years ago
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