Answer:
11r^2+10pr-9p i think
Step-by-step explanation:
On simplifying the expression we get 11r²+10pr-9p
What are like and unlike terms in an expression?In Algebra, the like terms are defined as the terms that contain the same variable which is raised to the same power. In algebraic like terms, only the numerical coefficients can vary. We can combine the like terms to simplify the algebraic expressions.
Given here, -r²+8pr-p-(-12r²-2pr+9p) = -r²+12r²+8pr+2pr-10p
=11r²+10pr-9p
Hence, On simplifying the expression we get 11r²+10pr-9p
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Jaleel mix 3/8 cup water with 1 5/6 cups of sugar. How many more cups of water than sugar did he use in his mixture
Answer:
1 11/24
Step-by-step explanation:
Lets convert the fractions into similars. x/8 and x/6 they have 24 in common so its 9/24 and 20/24. Now it is 1 20/24 - 9/24 The answer therefore is 1 11/24
Please give brainliest
how do I solve 2+1/6y=3x+4 for y
Answer:
Step-by-step explanation:Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2+(1)/(6)*y-(3*x+4)=0
STEP
1
:
1
Simplify —
6
Equation at the end of step
1
:
1
(2 + (— • y)) - (3x + 4) = 0
6
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Adding a fraction to a whole
Rewrite the whole as a fraction using 6 as the denominator :
2 2 • 6
2 = — = —————
1 6
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:
2 • 6 + y y + 12
————————— = ——————
6 6
Equation at the end of step
2
:
(y + 12)
———————— - (3x + 4) = 0
6
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 6 as the denominator :
3x + 4 (3x + 4) • 6
3x + 4 = —————— = ————————————
1 6
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
(y+12) - ((3x+4) • 6) y - 18x - 12
————————————————————— = ————————————
6 6
Equation at the end of step
3
:
y - 18x - 12
———————————— = 0
6
STEP
4
:
When a fraction equals zero
4.1 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:
y-18x-12
———————— • 6 = 0 • 6
6
Now, on the left hand side, the 6 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
y-18x-12 = 0
Equation of a Straight Line
4.2 Solve y-18x-12 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-18x-12 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 12/1 so this line "cuts" the y axis at y=12.00000
y-intercept = 12/1 = 12.00000
Calculate the X-Intercept :
When y = 0 the value of x is 2/-3 Our line therefore "cuts" the x axis at x=-0.66667
x-intercept = 12/-18 = 2/-3 = -0.66667
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 12.000 and for x=2.000, the value of y is 48.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 48.000 - 12.000 = 36.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 36.000/2.000 = 18.000
Geometric figure: Straight Line
Slope = 36.000/2.000 = 18.000
x-intercept = 12/-18 = 2/-3 = -0.66667
y-intercept = 12/1 = 12.00000
2 7/12 as a decimal
I forgottttttthelp
Answer:
[tex] \boxed{ \bold{ \huge{\boxed{ \sf{2.58}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{2 \frac{7}{12} }[/tex]
Convert the mixed fraction into improper fraction
⇒[tex] \sf{ \frac{2 \times 12 + 7}{12} }[/tex]
⇒[tex] \sf{ \frac{24 + 7}{12} }[/tex]
⇒[tex] \sf{ \frac{31}{12} }[/tex]
Calculate
⇒[tex] \sf{ 2.58}[/tex]
Hope I helped !
Best regards!
The mixed number [tex]2\frac{7}{12}[/tex] as a decimal is approximately 2.58333 as per th rule of simplification.
To simplify [tex]2\frac{7}{12}[/tex] as a decimal form, we need to convert the mixed number to an improper fraction and then perform the division.
First, multiply the whole number (2) by the denominator of the fraction (12), and add the numerator (7). This gives us 2 x 12 + 7 = 24 + 7 = 31.
Now, the numerator of the improper fraction is 31, and the denominator remains the same (12). Therefore, the improper fraction is 31/12.
To convert this improper fraction to decimal form, divide the numerator (31) by the denominator (12):
31 ÷ 12 = 2.58333 (rounded to five decimal places)
Hence, [tex]2\frac{7}{12}[/tex] as a decimal is approximately 2.58333.
It's important to note that the decimal form is an approximation because fractions can have repeating decimal representations. In this case, [tex]2\frac{7}{12}[/tex] can be expressed exactly as a fraction but has a repeating decimal approximation when converted to decimal form.
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The complete question:
Simplify 2 7/12 as a decimal form.
why isn’t the square root of 5 a rational number? answer asap please
-2p + 1 = -4p + 9
Cómo va esto?
HELP PLEASE I ONLY GOT TODAY I NEED HELP ON 41,42,43, and 44 PLEASE HELP ME I NEED THIS TO GET MY GRADE UP
Answer:
Step-by-step explanation:
41. -3
42. 3
43 y^19
Answer:
41 ) b²/b^8=b^-6 ( when divide subtract exponents)
42 ) x.x².x^6=x^9 ( when multiply add exponents)
43) y^25/y^19 = y^6
44 ) when you divide numbers you make it smaller, so subtract the exponent will make the value of the base smaller.
Jackson's kitten weighed 2 pounds 3 ounces.a Month later the kitten weighed 56 ounces. How many weight did the kitten gain in that month
Answer:
37 ounces
Step-by-step explanation:
1 pound =16 ounces
2 pounds =16*2=32 ounces
16+3=19 ounces
weight of the kitten 1 month later=56 ounces
56-19=37
2 QUESTIONS !! GEOMERTY !! NEED HELP ASAP!!!
Taylor's parents put $5,000 into college savings account that pays 5% simple interest. If the current balance is $8,500, about how many years has it been in the account?
Answer:
14 years
Step-by-step explanation:
To find the answer, you have to use the formula to calculate the time period:
t=(1/r)*(A/P-1), where:
t= time period
r= rate of interest=5%
A= accrued amount=$8,500
P= principal amount=$5,000
Now, you can replace the values in the formula:
t=(1/0.05)*(8,500/5,000-1)
t=20*0.7
t=14
According to this, the answer is that the money has been 14 years in the account.
Ms.Fox teaches 145 students, and if only 118 students complete the Google
Form; what percent of students completed the Google Form?
si -x+y+z=75, entonces -(x+3)+(y-5)+(z-6)=
Answer:
67
Step-by-step explanation:
● -(x + 3) + (y - 5) + (z - 6)
● -x - 3 + y - 5 + z - 6
● (-x + y + z) + (3 -5 -6)
● 75 + 3 - 11
● 78 - 11
● 67
Which two expressions are equivalent
Answer: The choice with the two equivalent expressions is B.
Step-by-step explanation:
Here's how I got my answer:
Do each equation carefully and be sure to pay attention to the order of the multiplication, subtraction, addition, parentheses and division signs. Since B. is just the Associative Property (it means that it has been grouped in a different way) then it is the same as the first equation.
A student is taking a science course in which there will be four test, each worth 100 point. The student has a score of 91, 93, and 95 on the first three test. The student must make a total of at least 360 in order to get an A. What scores on the test will give the student an A.
Answer: 81 is the answer but it says what scores so you might be able to put 81 and above for example 82 83 84 and so on.
Step-by-step explanation:
If you add 91 93 and 95 you should get 279 then subtract 279 from 360 which will get u the answer which is 81 simple right now please giva a thanks like and rating if you found this helpful.
Mickey has a bag of 30 containing nickels, dimes, and quarters. The total value of the 30 coins is $3.65. There are twice as many nickels as there are dimes. Find the numbers of quarters
Answer:
9.9 quarters or Approximately ≈ 10
Step-by-step explanation:
Let n = number of nickels
d =number of dimes
q = number of quarters
n + d + q = 30 coins....... Equation 1
1 nickel = $0.05
1 dime = $0.10
1 quarter = $0.25
0.05n + 0.10d + 0.25q =$ 3.65.......Equation 2
There are twice as many nickels as there are dimes.
Hence
n = 2d
n + d + q = 30 coins
2d + d + q = 30 coins
3d + q = 30 coins........Equation 3
3d = 30 - q
d= 30 - q/3
0.05n + 0.10d + 0.25q =$ 3.65
Since n = 2d
0.05(2d) + 0.10d + 0.25q = $3.65
0.10d + 0.10d + 0.25q = 3.65.........Equation 4
Substitute 30 - q/3 for d in Equation 4
0.10(30 - q/3) + 0.10(30 - q/3) + 0.25q = 3.65
= 3 - 0.10q/ 3 + 3 - 0.10q/3 + 0.25q
(3 - 0.10q) + (3 - 0.10q) + 3(0.25q)/ 3 = 3.65
Cross multiply
(3 - 0.10q) + (3 - 0.10q) + 3(0.25q) = 3 × 3.65
3- 0.10q+ 3 - 0.10q + 0.75q = 10.95
6 - 0.20q + 0.75q = 10.95
0.50q = 10.95 - 6
0.50q = 4.95
q = 4.95/0.50
q = 9.9 quarters
Therefore, the numbers of quarters is approximately ≈ 10 quarters
A group of students was asked, "How many hours did you watch television last week?" Here are their responses: 7, 5, 16, 20, 17, 9, 18, 15. Find the Mean Absolute Deviation (M.A.D.) for these students.
Answer:
4.78125
Step-by-step explanation:
Step 1
Find the mean
Mean = Sum of Terms/Number of Terms
Mean = 7+5+ 16+20+ 17+ 9+ 18+ 15/8
= 107/8
= 13.375
Step 2
Find the Mean Absolute Deviation
Mean Absolute Deviation formula = |x - Mean|/n
Mean Absolute Deviation =[ |7 - 13.375| +| 5 -13.375|+ |16 - 13.375| + |20 - 13.375| +| 17 - 13.375| + |9 - 13.375 | +| 18 -13.375|+|15 - 13.375|] /8
Mean Absolute Deviation = 4.78125
Therefore, the Mean Absolute Deviation (M.A.D.) for these students = 4.78125
Given f(x) = x − 7 and g(x) = x2 . Find f(g(4)). f(g(4))
Answer: 9
Step-by-step explanation:
f(g(4)) is the value of 4 in function g and then in function f
Step 1. Find g(4)
g(x)=x²
g(4)=4²
g(4)=16
Step 2. Find f(g(4))
f(x)=x-7
f(g(4))=g(4)-7
f(16)=16-7
f(16)=9
Answer:
9
Step-by-step explanation:
edg 2020
The yearly cost in dollars, y, for a member at a video game arcade based on total game tokens purchased, x, is y =y equals StartFraction 1 Over 10 EndFraction x plus 60.X + 60. A nonmember pays $0.20 per game token, but no yearly fee. Which equation represents the yearly cost for a nonmember at the same video game arcade based on the total number of game tokens purchased in a year?
Answer:
[tex]y = \frac{1}{5}x[/tex]
Step-by-step explanation:
Given
Yearly Cost for members; [tex]y = \frac{1}{10}x + 6[/tex]
Required
Determine the yearly cost for non members
From the question, we understand that:
A non member pays $0.20 for each game;
Yearly cost is then calculated as thus;
y = Amount * Number of Games
Where:
Amount = $0.2 and Number of Games = x
[tex]y = 0.20 * x[/tex]
Convert 0.2 to fraction
[tex]y = \frac{2}{10} * x[/tex]
Divide the numerator and the denominator by 2
[tex]y = \frac{1}{5} * x[/tex]
[tex]y = \frac{1}{5}x[/tex]
Hence, the yearly cost for non members is
[tex]y = \frac{1}{5}x[/tex]
Answer:
y = y equals 1 Over 5 x. x
Step-by-step explanation:
So c
please rate me brainliest i need 5!!!!!!
In the given figure, ABCD is a rectangle. Its diagonals meet at O. If OC = 3x – 4, OB = x + 4, then find OB, OC, OA, AC, BD and OD
Answer:
OB = 8
OC = 8
OA = 8
AC = 16
BD = 16
OD = 8
Step-by-step explanation:
Given, rectangle ABCD, with diagonals AC and BD, and OC = 3x – 4, OB = x + 4,
thus, since diagonals of a rectangle are equal, therefore, AC = BD.
Invariably, 2*OC = 2*OB
Thus, [tex] 2(3x - 4) = 2(x + 4) [/tex]
Solve for x
[tex] 6x - 8 = 2x + 8 [/tex]
Add 8 to both sides
[tex] 6x - 8 + 8 = 2x + 8 + 8 [/tex]
[tex] 6x = 2x + 16 [/tex]
Subtract 2x from both sides
[tex] 6x - 2x = 2x + 16 - 2x [/tex]
[tex] 4x = 16 [/tex]
Divide both sides by 4
[tex] \frac{4x}{4} = \frac{16}{4} [/tex]
[tex] x = 4 [/tex]
OB = x + 4 = 4 + 4 = 8
OC = 3x - 4 = 3(4) - 4 = 12 - 4 = 8
OA = OC = 8
AC = 2*OC = 2*8 = 16
BD = 2*OB = 2*8 = 16
OD = OB = 8
Kathy withdrew $40 from the bank each week for six weeks. what is the change in the balance of her account? write a multiplication problem and then find the answer.
I'm in highschool and I still don't know this
Answer:
-$240
Step-by-step explanation:
40 x 6 is 240 so it changed by -$240 since it was a withdrawal
Answer:
-40 * 6 = -240
Step-by-step explanation:
Withdrawing money creates a negative number. The weeks are a positive number. So, you get -40 * 6. A negative times a positive number gives you a negative number for an answer.
Find g (x)-f(x) g(x)=x^2+1 and f(x)=2x+5
Answer:
Step-by-step explanation:
x^2 + 1 - 2x - 5 = x^2 - 2x - 4
Which is 0.ModifyingAbove 54 with bar converted to a simplified fraction?
Answer:
B 6/11
Step-by-step explanation:
The answer for edge 2021 is.....c-6/11
Which of the following is equal to 393,500? 0.3935 × 10 -6 39.35 × 10 -4 3.935 × 10 -5 3.935 × 10 5
Answer:
No answer is equal to 393,500
Step-by-step explanation:
You can try to solve each question.
0.3935 × 10 -6 = -2.065
39.35 × 10 -4 = 389.5
3.935 × 10 -5 = 34.35
3.935 × 10 +5 = 44.35
None of these equal to 393,500
(Maybe I am getting things wrong I am not in a smart mood today)
I need help with this
Answer:
8x + 8 = 6x + 20/3
Step-by-step explanation:
The set notation of [-5,16) is?
Answer: [tex]\left\{x | x \in \mathbb{R}, \ -5 \le x < 16\right\}[/tex]
=======================================================
Explanation:
We have some number x such that x is a real number, so we write that as [tex]x \in \mathbb{R}[/tex] which is saying "x is in the real number set".
The portion [tex]-5 \le x < 16[/tex] is how x is restricted. This means x can be -5 or larger, but also must be smaller than 16.
This is from the interval notation [-5, 16). The square bracket means we include -5 as part of the interval, but we exclude 16 because of the curved parenthesis.
The curly braces surrounding everything indicates that we have a set of values.
-----------------
Side note:
If x is an integer, then we can get this roster set {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15} showing all of the integers between -5 and 16, including -5 but excluding 16.
Though chances are your teacher will want you to stick to real numbers rather than just integers.
The expression 25x2 - 81 can be rewritten as (5x - 9)(5x + 9). (5x - 9) is a ____ of 25x2 - 81. A) divisor B) factor C) multiple D) zero
Three points are colinear.
always
sometimes
never
pls help me i kinda for got how to do this
Answer:
24 is x=2
Step-by-step explanation:
Last year Sarah bought 26 bottles of coke for a birthday party at the price of $1.25 per bottle. This year she paid $35 for the same number of bottles of coke. What is the increase in total price of bottles of coke?
Roxanne's Cafe uses 5/6 of a bag of coffee every day. How many days will 5 5/6 bags of coffee last?
Answer:
7 days
Step-by-step explanation:
If you are using [tex]\frac{5}{6}[/tex] of a bag of coffee per day, and you have [tex]5 \frac{5}{6}[/tex] bags of coffee, you want to find how many times [tex]\frac{5}{6}[/tex] goes into [tex]5 \frac{5}{6}[/tex].
This can be found using division.
First let's convert [tex]5 \frac{5}{6}[/tex] into an improper fraction:
[tex]5 \frac{5}{6} = \frac{(6\cdot5) + 5}{6} = \frac{35}{6}[/tex]
Now we set up our division equation:
[tex]\frac{35}{6} \div \frac{5}{6}[/tex]
To divide, we multiply by the reciprocal, so:
[tex]\frac{35}{6} \div \frac{5}{6} = \frac{35}{6} \cdot \frac{6}{5} = \frac{210}{30}[/tex]
Dividing both the numerator and denominator of [tex]\frac{210}{30}[/tex] by 30 gets us [tex]\frac{7}{1}[/tex], which is just 7.
Hope this helped!
Answer:
7 days or 1 week
Step-by-step explanation:
First, know what the equation is. In this case, it's 5 5/6 divided by 5/6, since you need to divide the amount you have by how much you use every day to find out how many days it will last.
The equation is 5 5/6 ÷ 5/6, but since that is harder to solve, turn the 5 5/6 into an improper fraction: 35/6
Now, just solve 35/6 ÷ 5/6, so this means you have to flip your second number and multiply instead divide when dividing fractions, so the new equation is 35/6 ×6/5
That equals 210/30, and if you take out both the 0s (cancel them out), you get 21/3 and after simplifying that, you get 7/1, which is basically 7.
Roxanne's Cafe's coffee can last them 7 days or 1 week.
I NEED HELP PLEASE !!!! :(
Answer:
6
Step-by-step explanation:
(2)/((6)√(8))*√(2)-((18)/√81))-2)
(6)sqrt√8 = 6sqrt √2³= 2^3/6=2^1/2= √2
(2√2)/√2 -(-18/√9²)-2)
2-(-18/9 -2)
2-(-2-2)=2+4=6