1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
aksik [14]
3 years ago
7

Solve the equation with a variable term on both sides: 5.1y+21.3=-0.3y-24.6.

Mathematics
2 answers:
zlopas [31]3 years ago
6 0

<u>Answer</u>

\boxed {y= -8.5}


<u>Solution & detailed explanation </u>

In this problem we are solving for y.


First, add 0.3 on both sides.

5.1 + 0.3= 5.4


Now you would need to subtract, 21.3 on both sides.

5.4y + 21.3= -24.6


-24.6 - 21.3= -45.9


Divide 5.4 on both sides.

5.4y = -45.9


Therefore, the answer would be \boxed {y= -8.5}







ivann1987 [24]3 years ago
3 0

To solve this equation, we will need to isolate y, the variable. These are the steps that follow:


1. Add 0.3y to each side.

2. Subtract 21.3 from each side.

3. Divide both sides by 5.4y.

Try and figure it out yourself! If you have trouble...


The answer is y = -8.5

You might be interested in
If you put $1,060 as a non-refundable deposit on an apartment, and pay $1,137 each month in rent, what is your total cost if you
N76 [4]

Answer:

$110,212

Step-by-step explanation:

$1,137*12=13,644. Multiply by 12 for 12 months in a year

13,644*8=109,152. Rent for 8 years excluding deposit.

109,152+1060=110,212. Total Cost for 8 Years

7 0
3 years ago
Three out of every five students wore green on St. Patricks day. What percent of the students wore green?
Paha777 [63]
60% of the students wore green
6 0
3 years ago
Read 2 more answers
Solve the following and explain your steps. Leave your answer in base-exponent form. (3^-2*4^-5*5^0)^-3*(4^-4/3^3)*3^3 please st
Naily [24]

Answer:

\boxed{2^{\frac{802}{27}} \cdot 3^9}

Step-by-step explanation:

<u>I will try to give as many details as possible. </u>

First of all, I just would like to say:

\text{Use } \LaTeX !

Texting in Latex is much more clear and depending on the question, just writing down without it may be confusing or ambiguous. Be together with Latex! (*^U^)人(≧V≦*)/

$(3^{-2} \cdot 4^{-5} \cdot 5^0)^{-3} \cdot (4^{-\frac{4}{3^3} })\cdot 3^3$

Note that

\boxed{a^{-b} = \dfrac{1}{a^b}, a\neq 0 }

The denominator can't be 0 because it would be undefined.

So, we can solve the expression inside both parentheses.

\left(\dfrac{1}{3^2}  \cdot \dfrac{1}{4^5}  \cdot 5^0 \right)^{-3} \cdot \left(\dfrac{1}{4^{\frac{4}{3^3} } }\right)\cdot 3^3

Also,

\boxed{a^{0} = 1, a\neq 0 }

\left(\dfrac{1}{9}  \cdot \dfrac{1}{1024}  \cdot 1 \right)^{-3} \cdot \left(\dfrac{1}{4^{\frac{4}{27} } }\right)\cdot 27

Note

\boxed{\dfrac{1}{a} \cdot \dfrac{1}{b}= \frac{1}{ab} , a, b \neq  0}

\left(\dfrac{1}{9216}   \right)^{-3} \cdot \left(\dfrac{1}{4^{\frac{4}{27} } }\right)\cdot 27

\left(\dfrac{1}{9216}   \right)^{-3} \cdot \left(\dfrac{27}{4^{\frac{4}{27} } }\right)

\left( \dfrac{1}{\left(\dfrac{1}{9216}\right)^3} \right)\cdot \left(\dfrac{27}{4^{\frac{4}{9} } }\right)

\left( \dfrac{1}{\left(\dfrac{1}{9216}\right)^3} \right)\cdot \left(\dfrac{27}{4^{\frac{4}{27} } }\right)

Note

\boxed{\dfrac{1}{\dfrac{1}{a} }  = a}

9216^3\cdot \left(\dfrac{27}{4^{\frac{4}{9} } }\right)

\left(\dfrac{ 9216^3\cdot 27}{4^{\frac{4}{27} } }\right)

Once

9216=2^{10}\cdot 3^2 \implies  9216^3=2^{30}\cdot 3^6

\boxed{(a \cdot b)^n=a^n \cdot b^n}

And

$4^{\frac{4}{27}} = 2^{\frac{8}{27} $

We have

\left(\dfrac{ 2^{30} \cdot 3^6\cdot 27}{2^{\frac{8}{27} } }\right)

Also, once

\boxed{\dfrac{c^a}{c^b}=c^{a-b}}

2^{30-\frac{8}{27}} \cdot 3^6\cdot 27

As

30-\dfrac{8}{27} = \dfrac{30 \cdot 27}{27}-\dfrac{8}{27}  =\dfrac{802}{27}

2^{30-\frac{8}{27}} \cdot 3^6\cdot 27 = 2^{\frac{802}{27}} \cdot 3^6 \cdot 3^3

2^{\frac{802}{27}} \cdot 3^9

4 0
3 years ago
A cyclist travels 20 miles in the same amount of time it takes a hiker to walk 6 miles. The rate of the cyclist is 7 mph faster
Anna11 [10]

Answer:

The speed of the cyclist is 10 miles per hour .

Step-by-step explanation:

Given as :

The distance cover by cyclist = D_1= 20 miles

The distance cover by biker =  D_2 = 6 miles

The speed of biker = S_2 = s  mph

The speed of cyclist = S_1= 7 + s  mph

The time taken by both cyclist and biker =  t hour

Now. Distance = Speed × Time

So,  D_1 =   S_1 × t

Or, 20 = s × t

Or, t = \frac{20}{7+s}             .....1

And ,

D_2 =   S_2 × t

or, 6 = s t              

Or,  t = \frac{6}{s}  ....2

From Eq  1 and 2

I.e \frac{20}{7+s} = \frac{6}{s}

Or, 20 s = 6 ( 7 + s )

Or, 20 s - 6 s = 42

Or, 14 s = 42

∴   s = \frac{42}{14}

I,e s = 3 miles per hour

So, The speed of biker = S_2 = s = 3 miles per hour

And The speed of cyclist = S_1= 7 + s = 7 + 3= 10 miles per hour

Hence The speed of the cyclist is 10 miles per hour . Answer

4 0
3 years ago
A television screen, length is 16 1/2 inches, width is w inches, and area is 462 square inches. Select all THREE equations that
tatiyna

Answer:

it's B, C, and D

Step-by-step explanation:

A. w ⋅ 462 = 16 1/2

not A

w * a ≠ l

B. 16 1/2 ⋅ w = 462

is B

l * w = a

C. 462 ÷ 16 1/2 = w

is C

a / l = w

D. 462 ÷ w = 16 1/2

is D

a / w = l

E. 16 1/2 ⋅ 462 = w

not E

l * a ≠ w

3 0
2 years ago
Other questions:
  • Express 5√72 in simplest radical form
    12·1 answer
  • Pls help?? A 3D shape has the net shown below.
    13·1 answer
  • How many days are in 84 weeks
    8·2 answers
  • 10-(3x-1)/2=(6x+3)/11<br> If someone could help that would be great thank you!
    6·1 answer
  • Please answer it now in two minutes
    15·1 answer
  • Please help me! Thank you!
    15·1 answer
  • convert given per cents to decimal fraction and also to fractions to simplest form: 25 per cent PLZZ HELP​
    12·1 answer
  • The population of a city decreases by 0.6% per year. What should we multiply the current population by to find next year's popul
    5·1 answer
  • Helppp and explain plsssssssssssssss!!!!!!!!!!!!!!!!
    12·1 answer
  • -2x - 8 + 5x = -8 - x + 12 <br> a: x =6<br> b: x = 3 <br> c: x = 5<br> d: x = 4
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!