2 years ago

Sarah was solving an equation for her Algebra

Mathematics

1 answer:

Allisa [31]2 years ago

8 0

Dropped off my car

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Question 12<br> With steps please

34kurt

$Answer:\ \boxed{5^2}$

$\sqrt[n]{a}=a^\frac{1}{n}\\\\\text{therefore}\\\\\sqrt5=5^\frac{1}{2}\\----------------\\25=5^2\\----------------\\78,125=5^7\\----------------\\\text{use}\\\\a^n\cdot a^m=a^{n+m}\\\\\dfrac{a^n}{a^m}=a^{n-m}\\----------------\\\\\dfrac{\sqrt5\times78,125}{25\times5^{\frac{7}{2}}}=\dfrac{5^\frac{1}{2}\times5^7}{5^2\times5^\frac{7}{2}}=\dfrac{5^{\frac{1}{2}+7}}{5^{2+3\frac{1}{2}}}=\dfrac{5^{7\frac{1}{2}}}{5^{5\frac{1}{2}}}=5^{7\frac{1}{2}-5\frac{1}{2}}=\boxed{5^2}$

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3 years ago

Which term best describes the system of equations?

Oduvanchick [21]

Answer:

coincident

Step-by-step explanation:

The first equation is 3 times the second equation, so describes exactly the same line. The lines are "coincident".

7 0

3 years ago

What is X? <br> 1x + 1 + 4x = 11 + 12x - 3<br> Please show work

Salsk061 [2.6K]

X=-1 is pretty sure

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3 years ago

Find the unit rate.<br><br> 3.75 pints out of every 5 gallons

Veronika [31]

Answer:

1 pints out of every 1.2 gallons.

Step-by-step explanation:

3.75/3.75 = 1

5/3.75 = 1.33 repeating

1 pints out of every 1.2 gallons.

7 0

3 years ago

There are 408 students at a school. The cafeteria holds up to 90 students at a time. Are 4 lunch periods enough to allow every s

BartSMP [9]

because during 4 lunch periods the cafeteria can hold up only:

4 · 90 = 360 students

and 360 < 408

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3 years ago