Answer: x = 2/5 in fraction form
In decimal form, the answer is x = 0.4
====================================================
Work Shown:
2/3 = two thirds
2/3 + (1/3)x = 2x is the equation you're given
Multiply every term by 3 so that we clear out the fractions
3*(2/3) + 3*(1/3)x = 3*2x
2 + x = 6x
From here, we solve for x
2 + x = 6x
2+x-x = 6x-x .... subtract x from both sides
2 = 5x
5x = 2
5x/5 = 2/5 ... divide both sides by 5
x = 2/5
x = 0.4
The solution of the expression is,
⇒ x = 0.4
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
''Two thirds plus one third times x equals two times x.''
Now, We can simplify as;
⇒ 2/3 + 1/3x = 2x
Solve for x as;
⇒ 2/3 = 2x - 1/3x
⇒ 2/3 = 5x/3
⇒ 2 = 5x
⇒ x = 2/5
⇒ x = 0.4
Thus, The solution of the expression is,
⇒ x = 0.4
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Please solve, 1-2x= -1+8+8x-8x
Answer: [tex]x=-3[/tex]
Simplify both sides of the equation
[tex]1+-2x=-1+8+8x+-8x[/tex]
[tex]-2x+1=(8x+-8x)+(-1+8)[/tex] (Combine Like Terms)
[tex]-2x+1=7[/tex]
Subtract 1 from both sides
[tex]-2x+1-1=7-1\\-2x=6[/tex]
Divide both sides by -2
[tex]-2x/-2=6/-2\\x=-3[/tex]
Answer:
[tex]\Huge \boxed{x=-3}[/tex]
Step-by-step explanation:
[tex]1-2x= -1+8+8x-8x[/tex]
Combining like terms.
[tex]1-2x= 7[/tex]
Subtracting 1 from both sides.
[tex]-2x= 7-1[/tex]
[tex]-2x=6[/tex]
Dividing both sides by -2.
[tex]x=-3[/tex]
Evaluate the logarithmic expression [logsubscript5(25) + logsubscript5(125) - logsubscript5(625)] / logsubscript5(100)
The value of the expression, rounded to the nearest hundredth, is {blank}
Step-by-step explanation:
[tex] \frac{ log_{5}(25) + log_{5}(125) - log_{5}(625)}{ log_{5}(100) } [/tex]
[tex] \frac{ log_{5}( \frac{25 \times 125}{625} ) }{ log_{5}(25 \times 4) } [/tex]
[tex] \frac{ log_{5}(5) }{ log_{5}(25) + log_{5}(4) } [/tex]
[tex] \frac{1}{2 + 2 log_{5}(2) } [/tex]
[tex]0.3495 = 0.35[/tex]
number added to the difference between triple the number and thirteen Translate into a variable expression. (Use x for your variable. Do not simplify.)
Answer:
[tex]4x - 13[/tex]
Step-by-step explanation:
Given
Represent the number with x
Required
Translate the statements to expression
First, we need to get triple of x:
[tex]Triple\ of\ x= 3 * x[/tex]
[tex]Triple\ of\ x= 3 x[/tex]
Next is to get the difference between 3x and 13
This is represented as [tex]3x - 13[/tex]
Lastly, Add x to the above:
[tex]x + 3x - 13[/tex]
[tex]4x - 13[/tex]
Hence, the variable expression is 4x - 13
Find the number which when added to 10 times itself gives 264
Answer: 24
Step-by-step explanation:
Let x=the number
x+10x=264
11x=264
x=24
Hope this helps!! :)
A car manufacturer claims that their car can get 32 miles per gallon minus the speed
factor. This can be modeled by the linear equation f(x) = 32 -0.15x where f(x)
represents the miles per gallon and x is the mph. What would be the predicted miles
per gallon for a car going 60 mph using this equation?
Type your answer.
Answer:
23 mpg
Step-by-step explanation:
We simply need to evaluate the given function at the speed requested (60 mph):
[tex]f(x)=32-0.15\,x\\f(60)=32-0.15\,(60)\\f(60)=23\,\,mpg[/tex]
what is the greatest common factor of 61 and 77
Their GCF is 1. They don’t have any others that are the same
answer as soon as possible, please! !algebra! 2¹⁵ x 8¹⁹ x 2⁴ x 8¹⁰ a. 2¹⁹ x 8²⁹ b. 4⁶⁰ x 64¹⁹⁰ c. 2⁶⁰ x 8¹⁹⁰ d. 4¹⁹ x 16²⁹ and the x's are multiplication not variables
Answer:
The measure of angle B would be 100°
Step-by-step explanation:
Supplementary means two angles add up to 180 degrees. Let's say A+B=180. Since we know what A is, we can substitute that in, B+80=180. Now solve. B=100
Step-by-step explanation:
The two triangles are similar. What is the value of x?
Answer:
x=5
Step-by-step explanation:
We can write ratios to help us solve
4x 12 +3
---------- = ------------
3x+1 12
Using cross products
4x*12 = (3x+1) * (15)
48x = 45x +15
Subtract 45x from each side
3x =15
Divide by 3
3x/3 =15/3
x=5
draw a circle whose radius is 3 and centered at (1,2)
First graph the center at (1,2). Then use your given radius to graph four points around the center. One vertical point above and one below the center, and one horizontal point to the right and one to the left of the center. Those points should be:
• (1,5)
• (1,-1)
• (-2,2)
• (4,2)
Then, to the best of your ability, draw a circle connecting those points.
I hope this makes sense. Please let me know if you have any further questions!
The equation of the circle that has a center at (1, 2) and a radius of 3 units will be (x - 1)² + (y - 2)² = 9. The circle is drawn below.
What is the equation of a circle?Let r be the radius of the circle and the location of the center of the circle be (h, k).
Then the equation of the circle is given as,
(x - h)² + (y - k)² = r²
The center of the circle is (1, 2) and the radius of the circle is 3 units. Then the equation of the circle is given as,
(x - 1)² + (y - 2)² = 3²
(x - 1)² + (y - 2)² = 9
The equation of the circle that has a center at (1, 2) and a radius of 3 units will be (x - 1)² + (y - 2)² = 9. The circle is drawn below.
More about the equation of the circle link is given below.
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) I went from my house to a playground, 300
metres away in 10 minutes. I ran back and
reached in 2 minutes. What was my average
speed? give answer fast!
Answer:
v = 0.834 m/s or 3 km/h
Step-by-step explanation:
Given that,
Distance between house and playground is 300 meters
If you went 300 metres away in 10 minutes and ran back and reached in 2 minutes, it means total distance covered by you during whole journey is 300 m + 300 m = 600 m
Total time, t = 10 min + 2 min = 12 min = 720 seconds
Total distance covered divided by total time gives average speed. So,
[tex]v=\dfrac{600\ m}{720\ s}\\\\v=0.834\ m/s[/tex]
or
v = 3 km/h
So, the average speed is 0.834 m/s or 3 km/h.
Pick out three equivalent fractions from the group 1/2 , 1/3, 3/4,3/6,2/4,4/10
Answer:
1/2, 3/6 and 2/4 are equivalent fractions.
Step-by-step explanation:
To know if the fractions are equivalent, their simplest form should be the same.
So we must simplify all the fractions to their simplest form.
To find the simplest form of a fraction, we must divide the numerator and denominator with their GCF (Greatest Common Factor)
So:
1/2 = 1/2
1/3 = 1/3
3/4 = 3/4
3/6 = 1/2 ( The GCF for 3 and 6 is 3)
2/4 = 1/2 ( The GCF for 2 and 4 is 2)
4/10 = 2/5 ( The GCF for 4 and 10 is 2)
Because 1/2, 3/6 and 2/4 has the same simplest form, they are equivalent fractions.
I hope this helps! I'm sorry if it's wrong or too complicated.
Does the function model exponential growth or decay f(x)=3*(7/4)^x
Answer:
Exponential functions are patterns that get continuously multiplied by some number. It's exponential growth when the base of our exponential is bigger than 1, which means those numbers get bigger. It's exponential decay when the base of our exponential is in between 1 and 0 and those numbers get smaller.
Answer:
It models exponential growth.
Step-by-step explanation:
7/4 > 1, so f(x) grows at an exponential rate as x increases.
A graph of f(x) is attached below, showing the exponential growth.
Write an algebraic expression to represents the verbal expression: the difference between the product of 4 and a number and the square of the number
Answer:
[tex]4n-n^2[/tex]
Step-by-step explanation:
I use 'n' as the unknown value, but you can use any letter you want as the variable.
The product of four and a number would be represented by '4 * n'. The ideal way to write this would be '4n', even though '4 * n' is also correct in value.
The square of the number would be n². Squaring a number is multiplying a number by itself.
The phrase 'difference between...' means subtraction.
Putting it together:
"The difference between the product of 4 and a number and the square of the number" would be:
[tex]4n-n^2[/tex]
Hope this helps.
Round 4.028 to the nearest tenth.
Answer:
4.0
Step-by-step explanation:
Look at the decimal place next to the tenths place. It has a 2 in its place. The rule for rounding is that any number 4 or lower is rounded down. Any number 5 or above is rounded up. The number is 2, which is below 4, so we round down. The tenths place would stay the same because it can't get any smaller. Therefore, 4.028 is rounded down to 4.0
How does mass affect friction?
Plz help
An object of large mass is pulled down into the surface with a greater force than an object of low mass and as a consequence , there is greater friction between the surface of heavy objects than between the surface and the light object
The average third grade student can read
80 words in 5 minutes. What is the average
reading rate per minute?
write an expression to represent the problem.
Answer:
16x
Step-by-step explanation:
80 divided by 5 is 16, so the student can read 16 words per minute. X is the number of minutes.
The average reading rate per minute is 16 words/ min.
and its expression will be [tex]16x[/tex]
where, [tex]x[/tex] represents the minutes
What is proportion ?
A proportion is an equation based on the equality of two ratios.
It is given that the average third grade student can read 80 words in 5 minutes and it is to calculate the average words read by the student per minute :
[tex]\begin{aligned}5 \text{\:min}&\rightarrow 80 \text{\:words}\\1 \text{\:min}&\rightarrow \frac{80}{5}\text{\:words} \\&\rightarrow 16 \text{\:words}\end{aligned}[/tex]
Therefore, the average reading rate per minute is 16 words/ min.
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Five boys A, B, C, D,E
are sitting in a park in a circle. A is facing South-West, D is facing
South-East, B and E are right opposite A and D respectively and C is equidistant between
D and B. Which direction is C facing?
Answer:
C is facing North
Step-by-step explanation:
Given f(x) = x2 − 4x + 5, find each value. a. f(2) b. f(−6)
Answer:
This problem requires you to plug in the values to get an answer.
f(2)=1
f(-6)= 65
Step-by-step explanation:
You need to plug in each value in the equation.
[tex]f(2) = 2^{2} - 4(2) + 5[/tex]
[tex]f(2) = 4 - 8 + 5[/tex]
[tex]f(2) = - 4 + 5[/tex]
[tex]f(2) = 1[/tex]
For f(-6):
[tex]f( - 6) = ( - 6)^{2} - 4( - 6) + 5[/tex]
[tex]f( - 6) = 36 + 24 + 5[/tex]
[tex]f( - 6) = 65[/tex]
Which of the following is equivalent to 18 - square root of -25?
Answer:
90i
Step-by-step explanation:
18 * sqrt(-25) = 90i
a stockbroker sold 70 shares of stock $14.52 each. what was the total amount of the sale?
Answer:
$1016.4 - if this is just a simple multiplication question
The number of Liters remaining in a 100 Liter tank that is draining at a rate of 4 Liters per minute for m
minutes.
Answer:
Big fella
Step-by-step explanation:
100-4 x m
Which numbers are rational.
3
1.8989
را با
0.5
2.0
Answer:
All of those numbers are rational
You received $112 in all selling paintings. You sold one painting for $27
and the rest for $17 each. Solve the equation below to find x, the number
of $17 paintings you sold.
17x + 27 = 112
Answer:
5
Step-by-step explanation:
17x = 85
17x/17 = 85/17
x = 5
Increase #500 in the ratio 16:10
Answer:
Answer is 900.
Step-by-step explanation:
To find:
Increase #500 in the ratio 16:10
Solution:
New Number: Old Number = 16:10
We are given the old number as 500.
Let the new number after increase = [tex]x[/tex]
Now, using the above ratio:
[tex]x[/tex]: 500 = 16:10
[tex]\dfrac{x}{500} = \dfrac{16}{10}\\\Rightarrow x = 500 \times \dfrac{16}{10}\\\Rightarrow x = 50 \times 16\\\Rightarrow x = 900[/tex]
Therefore, the increased value of 500 in the ration 16:10 is 900.
What is the definition of Plagiarism? What is the policy about blank assignments, essays, or short answer questions? Why do you think we do not allow you to take a zero on any assignment?
Answer:
definition of plagiarism
Step-by-step explanation:
Plagiarism is presenting someone else's work or ideas as your own, with or without their consent, by incorporating it into your work without full acknowledgement. All published and unpublished material, whether in manuscript, printed or electronic form, is covered under this definition.
What concepts do you think belong in this branch of mathematics?
10-15 kinda hard for me
10 is 90 degrees as all angles on a straight line add up to 180
11 is 42 degrees as all angles on a straight line add up to 180
12 is 138 degrees as all angles on a straight line add up to 180
13 is 42 degrees as vertically opposite angles are the same
14 is 132 degrees as i added the other two angles
15 is 138 degrees as i added the other two angles
there you go hope this helped
15x^2-4x-4=15x
2
−4x−4=
Answer:
i think the answer u need is -2-4x
Jackson receives 4.63 as his change at the grocery store. He places it into a charity donation jar at the register.
Answer:
Jackson is charitable.
Step-by-step explanation:
f(x) = -x2 - 9x
Find f(-2)
Answer:
22
Step-by-step explanation:
replace -2 for every in the equation:
-(-2)x2-9x-2=22
Answer:
f(-2)=14
Step-by-step explanation:
[tex]f(x) = -x^2 - 9x\\\\f(-2) = -(-2)^2-9(-2)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:exponents}\:\left(-2\right)^2\::\quad 4\\=-4-9\left(-2\right)\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:9\left(-2\right)\::\quad -18\\\\=-4-\left(-18\right)\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:-4-\left(-18\right)\:\\f(-2):\quad 14[/tex]