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3 years ago

5(4n - 11) - 3n + 20 and 17n - 35 are equivalent expressions.(true or false)please exlplain with FULL SENTANCES

2 answers:

5 0

Yo has to distribute and add like terms
distributeiv propoerty
a(b+c)=ab+ac aka
a(b-c)=ab-ac

5(4n-11)-3n+20=17n-35
distribuet
5*4n=20n
5*11=55
20n-55-3n+20=17n-35
move like terms together
20n-3n+20-55=17n-35
20-3=17
20-55=35
17n-35=17n-35
true

kari74 [83]3 years ago

3 0

True. Because 5(4n-11)-3n+20 is 20n-55-3n+20 and when you add like terms together you get 17n-35 as your answer which is the same as 17n-35.

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Step-by-step explanation:

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2 years ago

What are the solutions to the system of equations? y=−x^2−5x−6 x+y=−3

Dmitriy789 [7]

Answer:

The solutions are the points (-3,0) and (-1,-2)

Step-by-step explanation:

we have

$y=-x^{2} -5x-6$ -----> equation A

$x+y=-3$ -----> equation B

Solve the system of equations by graphing

The solution of the system of equations are the intersection points both graphs

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see the attached figure

5 0

3 years ago

Does anyone know this?

weeeeeb [17]

Answer:

BC = 10.24

Step-by-step explanation:

You can use the Pythagoras theorem for this question

$a^{2}$ + $b^{2}$ = $c^{2}$

a = 8cm

b = ???

c = 13cm

We will solve for B (length BC)

$a^{2}$ + $b^{2}$ = $c^{2}$

$8^{2}$ + $b^{2}$ = $13^{2}$

Rearrange for b

$b^{2}$ = $13^{2}$ - $8^{2}$

$b^{2}$ = 105

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7 0

3 years ago

If a = 5 units , b = 8 C = 4 Units, and d = 3 units what is the volume of the composite figure?

Alexandra [31]

Answer:

$V = 208\,u^{3}$ (Option C)

Step-by-step explanation:

The volume of the composite figure is:

$V = \frac{1}{2}\cdot (3\,u)\cdot (4\,u)\cdot (8\,u) + (5\,u)\cdot (4\,u)\cdot (8\,u)$

$V = 208\,u^{3}$ (Option C)

4 0

3 years ago

Julio is paid 1.2 times his normal hourly rate for each hour he works over 31 hours in a week. Last week he worked 41 hours and

xxTIMURxx [149]

Let Julio's normal hour rate is $x .

So we have

$31x + (41-31)*1.2 x = 550.40
\\
31x +10*1.2x = 550.40
\\
31x+12x = 550.40
\\
43x= 550.40
\\
x = \frac{550.40}{43}=$12.80$

So Julio's hourly rate is $12.80.

And this is reasonable , since working 41 hours at a rate of $ 13 per hour is

$=41(10+3)=410+123=533$

is close to 550.40 .

5 0

3 years ago

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