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3 years ago

How many oil changes can they complete in 2 hours

Mathematics

1 answer:

algol133 years ago

6 0

Answer:

Step-by-step explanation:

there are 120 minutes it to hours so I just divided 120 by how long it takes each of them then I added the numbers together

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Solve this algebra...

Mumz [18]

Step-by-step explanation:

$\text{Use}\ \dfrac{a^n}{a^m}=a^{n-m}\ \text{and}\ (a^n)^m=a^{nm}\\\\\left(\dfrac{a^x}{a^y}\right)^{x-y}=\left(a^{x-y}\right)^{x-y}=a^{(x-y)(x-y)}=a^{(x-y)^2}\\\\\left(\dfrac{a^y}{a^z}\right)^{y-z}=\left(a^{y-z}\right)^{y-z}=a^{(y-z)(y-z)}=a^{(y-z)^2}\\\\\left(\dfrac{a^z}{a^x}\right)^{z-x}=\left(a^{z-x}\right)^{z-x}=a^{(z-x)(z-x)}=a^{(z-x)^2}\\\\\text{Use}\ a^n\cdot a^m=a^{n+m}\\\\a^{(x-y)^2}\cdot a^{(y-z)^2}\cdot a^{(z-x)^2}=a^{(x-y)^2+(y-z)^2+(z-x)^2}$

$\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-y)^2=x^2-2xy+y^2\\(y-z)^2=y^2-2yz+z^2\\(z-x)^2=z^2-2zx+x^2\\\\=a^{x^2-2xy+y^2+y^2-2yz+z^2+z^2-2zx+x^2}\\\\\text{combine like terms}\\\\=a^{(x^2+x^2)+(y^2+y^2)+(z^2+z^2)-2xy-2yz-2zx}\\\\=a^{2x^2+2y^2+2z^2-2xy-2yz-2zx}\qquad\text{distributive}\\\\=a^{2(x^2+y^2+z^2)-2(xy-yz-zx)}\\\\\text{From the equastion we know:}\ x^2+y^2+z^2=xy+yx+zx.\\\text{Therefore}\\\\=a^{2(x^2+y^2+z^2)-2(x^2+y^2+z^2)}=a^0=1$

6 0

4 years ago

Lines l and m are parallel lines cut by the transversal line t. Which angle is congruent to ∠7?

pav-90 [236]

Answer:

<3, <2 or <6

Step-by-step explanation:

6 0

3 years ago

#1 : 4x-18=3x+2? #2 : 5y-7+4x-18?

slava [35]

Step-by-step explanation:

4x-18=3x+2

4x-3x=12+18

x=12+18

x=30

5y-7+4x-18

5y-25+4x

5 0

3 years ago

The life expectancy (in hours) of a fluorescent tube is normally distributed with a mean 8000 and a standard deviation 1000. fin

Bad White [126]

Given that the ,mean is 8000 and the standard deviation is 1000, thus the probability that tube lasts for more than 11000 hours. will be given by:
P(x>11000)
the z-score is:
z=(x-μ)/σ
x=11000
μ=8000
σ=1000
hence:
z=(11000-8000)/1000
z=3
thus
P(x>11000)=1-P(x<11000)
But
P(x<11000)=P(z<3)=0.9987
hence
P(x>11000)=1-0.9987=0.0013

4 0

4 years ago

Read 2 more answers

How do “near facts” help you solve division problems?

Brrunno [24]

Answer:

Offering food is another good way to get an indication if a cat may be lost – if. In some areas, particularly in East London, there is a huge stray and feral cat population. KIDNEY / RENAL PROBLEMS: Cats with kidney disease drink more and. they may require a litter tray each and if you have one cat that won't use a tray.

please mark as brainliest

6 0

3 years ago