Answer:
Step-by-step explanation:
3/5*(n+25)-(10+2/5*n)=0
Step by step solution :
STEP
1
:
2
Simplify —
5
Equation at the end of step
1
:
3 2
(— • (n + 25)) - (10 + (— • n)) = 0
5 5
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Adding a fraction to a whole
Rewrite the whole as a fraction using 5 as the denominator :
10 10 • 5
10 = —— = ——————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
10 • 5 + 2n 2n + 50
——————————— = ———————
5 5
Equation at the end of step
2
:
3 (2n + 50)
(— • (n + 25)) - ————————— = 0
5 5
STEP
3
:
3
Simplify —
5
Equation at the end of step
3
:
3 (2n + 50)
(— • (n + 25)) - ————————— = 0
5 5
STEP
4
:
Equation at the end of step
4
:
3 • (n + 25) (2n + 50)
———————————— - ————————— = 0
5 5
STEP
5
:
STEP
6
:
Pulling out like terms :
6.1 Pull out like factors :
2n + 50 = 2 • (n + 25)
Adding fractions which have a common denominator :
6.2 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
3 • (n+25) - (2 • (n+25)) n + 25
————————————————————————— = ——————
5 5
Equation at the end of step
6
:
n + 25
—————— = 0
5
STEP
7
:
When a fraction equals zero :
7.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
n+25
———— • 5 = 0 • 5
5
Now, on the left hand side, the 5 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
n+25 = 0
Solving a Single Variable Equation:
7.2 Solve : n+25 = 0
Subtract 25 from both sides of the equation :
n = -25
One solution was found :
n = -25
Answer:
n=-25
Step-by-step explanation:
3/5n+15=10+2/5n
1/5n=-5
n=-25
A line has an x-intercept of 2 and a y-intercept of 5. What is the equation of the line?
Answer:
y = -2.5x + 5
Step-by-step explanation:
Here, given the x and y intercept, we want to write the equation of the line
The general equation form is;
y = mx + b
where m is the slope and b is the y-intercept
Using the given points, we have that;
(2,0) and (0,5)
b is 5
so we have;
y = mx + 5
to get m, set (2,0); x = 2 and y = 0
0 = 2m + 5
2m = -5
m = -5/2 = -2.5
So the equation is;
y = -2.5x + 5
Allan needs 3 quarts of water to fill a pot for soup.How many times of he need to fill an 8-ounce measuring cup to fill the pot
Answer:
12 times
Step-by-step explanation:
1 quart = 32 ounces
3 quart = x
x = 3 × 32 ounces
x = 96 ounces
The number of times of he need to fill an 8-ounce measuring cup to fill the pot is calculated as:
= 96 ounces/8 ounces measuring cup
= 12 times
Therefore, Alan needs to fill an 8 ounce measuring cup 12 times in order to fill the pot of soup.
Find the 8th term of the geometric sequence 10, -40, 160, ...
Answer:
hgfgbffvghgdv check g tunic
How should you divide by a fraction?
A Flip the first fraction and divide.
B Multiply by the reciprocal of the second fraction.
C Flip the first fraction and multiply.
D Divide by the reciprocal of the second fraction.
Answer:
i think your answer is B.
Answer:
ans b is right pls follow
Help, please.
Which table shows a proportional relationship between x and y?
x 3 5 7 8
y 1.5 2.5 3 4.5
x 1 2 3 6
y 1.5 3 6 9
x 1 3 4 5
y 50 150 200 250
x 2 4 5 6
y 6 12 18 21
Answer:
d
Step-by-step explanation:
if am not wrong I think the answer is d the last one
Answer:
c
Step-by-step explanation:
1x50=50 1x5=5
3x50=150 3x5=15
4x50=200 4x5=20
5x50x250 5x5=25
A comic book collector buys a comic book for $120 and sells it for $250. Find the percent change. type your answer...
Michael cleans 90 cars in 5 days. How many cars does Michael clean per day?
A 20
B 15
C 16
D 18
Answer:
D
Step-by-step explanation:
Because 90/5=18
Answer:
18
Step-by-step explanation:
90 Divided by 5=18
Consider this system of equations. Which shows the first equation written in slope-intercept form? One-half (2 y + 10) = 7 x. y = 8.
Answer:
The first one
Step-by-step explanation:
y=mx+b is the formula
Answer:
it is answer c
Step-by-step explanation:
how to make y=-4+2 on a graph
Answer:
Step-by-step explanation:
whats the measure of P?
Answer: The measure of angle P = 29°
Step-by-step explanation:
We can find the interior supplementary angle at Q by subtracting
180- 56 = 124
The sum of the interior angles must be 180, so we can add ∠Q + ∠R
124 + 27 = 151
Then subtract that from 180:
P = 180 - 151
P = 29°
Answer:
Step-by-step explanation:
hiii back
Help is appreciated thank you very much!
Answer:
-3/5
Step-by-step explanation:
Slope is calculated with the formula m=(y_2 - y_1)/(x_2-x_2). The starting point I put as (0,0) and the finish is (5,-3). I used one city block is equal to one. Thus 3 blocks south(y-axis), is -3 and 5 east(x-axis) is 5. So plug into the equation with y_2 as -3 and x_2 as 5 then y_1 and x_1 both as zero. Thus slope=m= -3/5.
Rewrite in simplest terms: 8r – 4(7r – 5)
Answer:
-20(r-1)
o
-20r+ 20
Step-by-step explanation:
Find the slope of the line through each pair of points.
(-12, 10), (0, 20 )
Answer: M=5/6
Step-by-step explanation:
Use the slope formula to find the slope
Tanee claimed that if two adjacent angles form a right angle then they are supplementary. This statement is true. always sometimes never
Answer:
lkmjnhbvc xzsxfghj
Step-by-step explanation:
Answer:
never true
Step-by-step explanation:
Phillip is buying a car for $32,000. He will take out a loan for 3.2% simple interest per year. How much interest will he pay on his car loan after 3 years?
Answer:
$3,072
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 3.2%/100 = 0.032 per year,
then, solving our equation
I = 32000 × 0.032 × 3 = 3072
I = $ 3,072.00
The simple interest accumulated
on a principal of $ 32,000.00
at a rate of 3.2% per year
for 3 years is $ 3,072.00.
"Twelve less than a number is greater than that same number divided by two?
Answer: UNSPECIFIC
Step-by-step explanation:
x-12>x/2 This is what the question says but I don't know what you are asking for
Tax" is an added amount when finding the grand total of a bill. True or false
Answer:
Step-by-step explanation:
True
Answer:
True.
Step-by-step explanation:
Can someone please help 4x + 2x + 1 = 2x - x + 21
Answer: Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*x+2*x+1-(2*x-x+21)=0
Step by step solution :
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
5x - 20 = 5 • (x - 4)
Equation at the end of step
1
:
STEP
2
:
Equations which are never true:
2.1 Solve : 5 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
2.2 Solve : x-4 = 0
Add 4 to both sides of the equation :
x = 4
One solution was found :
x = 4
After 2 1/2 days the johnsons had used 2 2/3 tanks of gas how many tanks of gas were they using per day
Answer:
See explanation
Step-by-step explanation:
According to the question, Johnson used 2 2/3 tanks of gas in 2 1/2 days Thus;
If 8/3 tanks of gas were used in 5/2 days,
Then in 1 day , 5/2 × 3/8 = 15/16 or 0.9 tanks were used per day
Divide 2(x^4 +9) by x(x^2 +1)
1. We need to perform a division by multiplying the dividend with the reciprocal of the divisor. We can apply this rule:
[tex](\frac{A}{B})/(\frac{C}{D} )=(\frac{A}{B}) (\frac{C}{D})[/tex]In the problem... [tex]2(x^4 +9)/x(x^2 +1)[/tex]
A = [tex]2(x^4+9)[/tex]B = 1C =[tex]x(x^2+1)[/tex]D = 1[tex]2(x^4 +9)/x(x^2 +1)[/tex] changes to [tex](2(x^4+9))(\frac{1}{x(x^2+1)}[/tex]
2. We need to get rid of all the parenthesis in this term. [tex](2(x^4+9))(\frac{1}{x(x^2+1)}[/tex]
All negative factors will change the sign.In the problem [tex](2(x^4+9))(\frac{1}{x(x^2+1)}[/tex] there isn't any negative factors. So the sign will not change.[tex](2(x^4+9))(\frac{1}{x(x^2+1)}[/tex] is now [tex]2(x^4+9)(\frac{1}{x(x^2+1)}[/tex]
3. Lastly, we need to perform a multiplication.
We can use this rule: [tex]\frac{A}{B} C=\frac{AC}{B}[/tex]In the problem [tex]2(x^4+9)(\frac{1}{x(x^2+1)}[/tex] the new factors on the numerator are: [tex]2, (x^4+9), 1[/tex]Notice that all non-fraction factors are placed in the numerator.The new factors in the denominator are: [tex]x, (x^2+1),[/tex]Therefore, the answer is: [tex]\frac{2(x^4+9)}{x(x^2+1)}[/tex]
When 9 times a number is increased by 30 the answer is the same when 140 is decreased by the number find the number
Answer:
The unknown number = 11
Step-by-step explanation:
Let
The unknown number = x
9 times a number is increased by 30
= 9x + 30
140 is decreased by the number
= 140 - x
9x + 30 = 140 - x
Collect like terms
9x + x = 140 - 30
10x = 110
x = 110 / 10
x = 11
Check:
9x + 30
9(11) + 30
= 99 + 30
= 129
140 - x
= 140 - 11
= 129
54:19 To eliminate the terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? First equation: 9x + 3y = -18 Second equation: 8x + 7y = 10 The first equation should be multiplied by 3 and the second equation by 7. The first equation should be multiplied by -3 and the second equation by -7. The first equation should be multiplied by - 7 and the second equation by 3 . The first equation should be multiplied by -7 and the second equation by -3.
Answer:
The first equation should be multiplied by - 7 and the second equation by 3
Step-by-step explanation:
Given
[tex]9x + 3y = -18[/tex] -- (1)
[tex]8x + 7y = 10[/tex] -- (2)
Required
How to eliminate y
In (1), the coefficient of y = 3
In (2), the coefficient of y = 7
Multiply the first equation by -7
[tex]-7(9x + 3y = -18)[/tex]
[tex]-63x -21y = 126[/tex] --- (3)
Multiply the second by 3
[tex]3(8x + 7y = 10)[/tex]
[tex]24x + 21y = 30[/tex] -- (4)
Add the results together:
[tex]-63x -21y = 126[/tex]
[tex]24x + 21y = 30[/tex]
[tex]-------------------------[/tex]
[tex]-63x + 24x -21y +21y = 126+30[/tex]
[tex]-63x + 24x = 126+30[/tex]
See that y is eliminated
pleaseeee help me i have very little time
Answer:
212 feet
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Please I would really appreciate It
Answer:
32
Step-by-step explanation:
So since you can see that two of the sides are equal, that means the 2 angles at the bottom of the triangle are both equal to 25. Since the interior angles in a triangle always add up to 180, so it would be:
25 + 25 + 4x + 2 = 180
Solving,
52 + 4x = 180
subtract 52 from both sides
[tex]4x = 128[/tex]
divide both sides by 4
[tex]x = 32[/tex]°
hope that makes sense!
Answer:
x = 32
Step-by-step explanation:
the tic marks on the two sides of the triangle indicate they are congruent; therefore the two base angles are congruent also - each is 25°.
so, we can set up this equation to solve for 'x': 25 + 25 + 4x + 2 = 180
52 + 4x = 180
4x = 128
x = 32
The area of a regular nonagon is 150 square cm. What is the area of a regular nonagon with sides three times the sides of the smaller nonagon?
Answer:
1,350 square cm
Step-by-step explanation:
As we all know, we have to square a dimension of length to get the dimension of an area
So in this case, since the dimension of the length is increasing by a factor of 3, the dimension of the area will be increasing by a factor which is square the factor by which the dimension of the side is increasing
Thus, we have the area dimension increase by a factor of 3^2 = 9 times the area of the smaller
nonagon
So the area of the bigger nonagon will be :
150 * 9 = 1,350 square cm
1. Carter sold 9 of his video games online. The next day, he sold
27 video games. He collected a total of $900. If he charged the
same amount for each video game, how much did he sell each
game for?
Answer:
$25
Step-by-step explanation:
total of 36 games sold, gained a total of $900. To find the cost of each game, divide 900 by 36, which is 25. So each game costs $25.
The half-life of uranium-238 is 4.5 x 10*9 years. the half-life uranium-238 is 2.5 x 10*5 years. How many times greater is the half-life uranium-238 than that of uranium-234?
Answer:
Step-by-step explanation:
Note: If the 9 and 5 are exponents, they should be indicated with a ^, not *.
(4.5*10^9)/(2.5*10^5) = (4.5/2.5)*10^(9-5) = 1.8*10^4 = 18000
The half-life of uranium 238 is 18000 times the half-life of uranium 234.
A taxi charges $1.75 plus a fee of $0.75 for each mile traveled. The total cost of a ride, without a tip, is $4.75. How many miles is the trip?
Answer:
The trip contains 4 miles.
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the rate of change or slopeb is the y-interceptGiven that A taxi charges $1.75, meaning the initial condition of the trip is to charge $1.75.
Thus, y-intercept b = 1.75
Also, the taxi charges a fee of $0.75 for each mile traveled.
Thus, rate of change or slope m = 0.75
Let 'y' be the total cost
Let 'x' be the number of miles
Given that the total cost of a ride, without a tip, is $4.75.
so substitute y = 4.75, rate of change or slope m = 0.75, and the y-intercept b = 1.75 in the slope-intercept form of the line equation
y = mx + b
4.75 = 0.75(x) + 1.75
switch sides
0.75(x) + 1.75 = 4.75
subtract 1.75 from both sides
0.75x + 1.75 - 1.75 = 4.75 - 1.75
0.75x = 3
divide both sides by 0.75
0.75x/0.75 = 3/0.75
x = 4 miles
Therefore, the trip contains 4 miles.
On a standardized aptitude test, scores are normally distributed with a mean of 100 and a standard deviation of 10. Find the percent of scores that are: a) Between 90 and 100
Answer:
34.134%
Step-by-step explanation:
Given :
Normal distribution ;
Mean, m = 100 ; Standard deviation, s = 10
Percentage score between 90 and 100
P(90 ≤ x ≤ 100)
Recall : Zscore = (x - m) / s
P[(90 - 100) / 10 ; (100 - 100) / 10]
P[(10/10 ; 0 / 10)]
P(Z ≤ 1) - P(Z≤0) (Using Z probability calculator)
0.84134 - 0.5
= 0.34134
= 0.34134 * 100%
= 34.134%
13x = 130 Solve for x
Answer:
x = 10
Step-by-step explanation:
You need to isolate x, so divide by 13. 130/13 = 10.
Simplified, x = 10.
The solution to the given equation is 10.
The given equation is 13x = 130.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Here, transpose 13 to the other side of the equation, we get
13x = 130
x=130/13
x=10
Therefore, the solution to the given equation is 10.
To learn more about an equation visit:
brainly.com/question/14686792.
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