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
OverLord2011 [107]
3 years ago
7

How do you solve this question? With a step by step explanation please!

Mathematics
1 answer:
aliina [53]3 years ago
8 0

\frac{1}{4}x + 2 = -3 + \frac{1}{2} x

First, we will take \frac{1}{4}x to the right hand side of the equation, and -3 to the left hand side. In doing so, their signs will change (that is, they will be subtracted from the side that they are moved to).

2 -(-3) = \frac{1}{2} x - \frac{1}{4} x

2 + 3 = \frac{1}{4}x

\frac{1}{4} x = 5

Now, we will multiply both sides by 4, so as to find x.

\frac{1}{4} x x 4 = 5 x 4

x = 20

Therefore, x = 20.

You might be interested in
A box contains 8 yellow, 3 orange and 5 purple candies. A tray contains 7 red, 4 blue and 9 orange drinks. If Asia chooses one c
gayaneshka [121]
Okay so we have to first find the total.
8+3+5= 16 candies
7+4+9= 20 drinks
Since she wants to get a yellow candy and any drink but orange, put that information as a fraction.
8/16= 50% or 1/2
11/20= 55% (By the way you get 11 because of the 7 red and 4 blue).
And that's your answer!
Hope this helped and good luck! ^=^
7 0
4 years ago
The sides of a triangle are x , x +1 , 2 x -1 and its area is x root of 10 .Find the value of x.
VARVARA [1.3K]


Ok, I'm going to start off saying there is probably an easier way of doing this that's right in front of my face, but I can't see it so I'm going to use Heron's formula, which is A=√[s(s-a)(s-b)(s-c)] where A is the area, s is the semiperimeter (half of the perimeter), and a, b, and c are the side lengths.

Substitute the known values into the formula:

x√10=√{[(x+x+1+2x-1)/2][({x+x+1+2x-1}/2)-x][({x+x+1+2x-1}/2)-(x+1)][({x+x+1+2x-1}/2)-(2x-1)]}

Simplify:

<span>x√10=√{[4x/2][(4x/2)-x][(4x/2)-(x+1)][(4x/2)-(2x-1)]}</span>

<span>x√10=√[2x(2x-x)(2x-x-1)(2x-2x+1)]</span>

<span>x√10=√[2x(x)(x-1)(1)]</span>

<span>x√10=√[2x²(x-1)]</span>

<span>x√10=√(2x³-2x²)</span>

<span>10x²=2x³-2x²</span>

<span>2x³-12x²=0</span>

<span>2x²(x-6)=0</span>

<span>2x²=0 or x-6=0</span>

<span>x=0 or x=6</span>

<span>Therefore, x=6 (you can't have a length of 0).</span>

6 0
3 years ago
Please help I’m stuck on this question!
iVinArrow [24]
<h3>✽ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ✽</h3>

➷ The nth term would be x3

<h3><u>✽</u></h3>

➶ Hope This Helps You

➶ Good Luck

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

4 0
4 years ago
Read 2 more answers
A hot cocoa canister (can) is a cylinder with a height of 24.5 cm and a radius of
Masteriza [31]
Its 159.25 because u just times 24.5 x 6.5
8 0
3 years ago
48 is 60% of what number?
Naddik [55]
Your answer:
Divide 48 by 0.6 for the answer. 
The answer is 80.
5 0
3 years ago
Read 2 more answers
Other questions:
  • it took yuki 1.6 of an hour to water her flowers and 4.6 of an hour to weed her garden. what fraction of an hour did yuki work i
    13·2 answers
  • Another one please help
    7·1 answer
  • 1. Review the lesson above and use the guided notes to help you understand.
    13·1 answer
  • write the equation of a line in slope intercept form that has a slope of -2 and passes through the point (-1,8).
    7·2 answers
  • What is the value of 3 out of 315
    15·2 answers
  • A store charges 7% sales tax. Which expression can be used to find the total cost of an item with a price of p?
    15·2 answers
  • Write y = 2x2 – 10 in vertex form
    7·1 answer
  • What is the slope of a line perpendicular to 5y + 3x = 15
    7·1 answer
  • Leonard made some muffins. He gave 5/8 of them to his grandmother and 10 muffins to his aunt. He then had 11 muffins left. How m
    14·2 answers
  • Sum of 2 numbers is 42, and their difference is 8. What are the numbers?​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!