Solve the rational equation by combining expressions and isolating the variable
Exact Form:
[tex]x=\frac{(121\sqrt{3}-12\sqrt{15})(4\sqrt{15}+\sqrt{3}+1)}{27842}[/tex]Decimal Form:
[tex]x=0.10675865[/tex]Solve the equation 3x-2y =7, x+2y= -3
Answer:
x=1y= -2Step-by-step explanation:
3x-2y =7x+2y= -34x=4x=4/4x=13x-2y=73(1)-2y=73-2y=7-2y=7-3-2y=42y=-4y=-4/2y= -2Verify solutionx+2y= -31+2y= -32y=-3-12y= -4y= -4/2y= -2Answer:
x = 1
y = -2
Step-by-step explanation:
adding both quation we get
3x -2y + x + 2y =7 + -3
4x = 4
x = 1
substituting this equation in the earlier equation we get
3 * 1 -2y = 7
3 - 2y = 7
-2y = 4
y = -2
This weekend, Paul earned $42 selling
handmade drawings. He sold some
posters for $9 each and a drawing for
$15. Which equation represents this
situation?
A 42 = (9 + p) - 15
B 42 = (9+ p) + 15
c 42 = (9 x p) + 15
D 42 = (9 x p) - 15
Answer:
C
Step-by-step explanation:
lol
Give a pair of alternate interior angles, a pair of alternate exterior angles, and a pair of corresponding angles.
WILL MARK BRAINLIEST IF RIGHT!! Help
Answer:
Alternate Interior
∠3 and ∠6
Alternate Exterior
∠2 and ∠7
Corresponding
∠1 and ∠5
I hoped this helped :)
a rope 33cm long has a mass of 561 g. what is the mass of 13 cm of this rope.? can some one please help
Step-by-step explanation:
[tex]33cm = 561g[/tex]
[tex]13cm = x[/tex]
[tex] \frac{13}{33} \times 561[/tex]
[tex]221g[/tex]
Answer: 221
Step-by-step explanation:
33cm = 561g
1cm = 561/33 = 17
13cm = 17 × 13
a rectangle has an area of 72 square inches and a width of 9 inches what is its perimeter?
Answer:
34 inches.
Step-by-step explanation:
In order to ger perimeter you need to find the value of all sides. We know one side is 9 inches. To find the other side length you divide the area by the side length (72/9=8). This is because the formula for area is length times width. To find permiter you add all the side lengths together. A rectangle has 4 sides, so you would do 9+9+8+8
Find the equation of the line shown (first one to do it gets brainlist)
Answer:
y = 1/4x + 2
Step-by-step explanation:
We do y = mx + b
slope = rise over run = 1/4
Y-intercept = 2
Equation is y = 1/4x + 2
Answer:
y = -0.25x + 2
Step-by-step explanation:
When x=0, y = 2
When y=0, x = 8
X = 0 – 4 = -4
Y = 2 – 1 = 1
[tex]Slope\:(m)=\frac{y}{x} =\frac{1}{-4} =-0.25[/tex]
Sharon packed 36 eggs into a carton with 4 rows. How many columns are in the cartons?
3
9
36
12
Answer:
The Answer would be 9
Step-by-step explanation:
I got it right on my test!
h.e.l.p. m.e. p.l.s.
The answer: 3.15 ✅
Since the middle line between a farction is also division in some cases, divide forty-one by thirteen.
[tex]\frac{41}{13} = 3.15[/tex]
Answer:
3.15
Step-by-step explanation:
First you setup the problem for long division.
Like this: 41/--13 (cant really draw the thing)
After that you you solve it and get 3.15384+ which you round to 3.15 because it is the hundreth.
Find the equation of the line shown (first one to do it gets brainlist)
Answer:
y = 2x – 1
Step-by-step explanation:
When x=0, y = -1
When y=0, x = 0.5
A TV has a listed price of 515.95 before tax. If the sales tax rate is 9.75%, find the total cost of the TV with sales tax included.
Answer:
566.25
Step-by-step explanation:
515.95×9.75%=50.30
515.95+50.30=566.25
When graphing the equation y=-3x+2, a student plotted the y-intercept at 2, then moved down three units and to the left 2 units because the slope is negative, so both rise and run are negative. Find this error and correct it.
Answer:
The error is founded in the slope, specifically in the run.
When seen a negative slope, that only applies to the rise but not the run.
Instead, the student should run 1(not 2) units to the right.
The slope had not mentioned any 2 in the run.
So it would sound like down 3, over 1, starting from 2.
The y intercept at 2 is correct. This is the location (0,2)
The slope is -3 or -3/1, meaning that we move down 3 and to the right 1 unit. Doing so has us go from (0,2) to (1,-1). Plot these two points together on the same xy grid and draw a straight line through the two points.
See below.
whats is the answer too the equation 90000x604982?
Help
What is the change in the breaking weight of the pennies, for each increase in one unit of the length of the bridge?
Using linear function concepts, it is found that the change in the breaking weight of the pennies was of -6 units of weight.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, the function is:
y = -6x + 136.
The slope is of m = -6, hence the change in the breaking weight of the pennies was of -6 units of weight.
More can be learned about linear function concepts at https://brainly.com/question/24808124
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Find the area of the rhombus?
Answer: 84.5cm^2
Step-by-step explanation:
to find the area you need to use d1d2/2. So you plug in the numbers and get 13*13\2 and get 84.5
create a line plot for the given
ages.
43, 40, 46, 40, 48, 50, 44, 44,
42, 41, 45, 42, 46, 44, 40
Answer:
here you go
Step-by-step explanation:
40, 40, 40, 41, 42, 42, 43, 44, 44, 44, 45, 46, 46, 48, 50
before his shopping spree, Elmer owned 52 scooters. Then he bought 82 more scooters. what is the ratio of scooters purchased to the resulting total number of scooters.
Answer:
Step-by-step explanation:
82 / (52+82)
82 / 134
41 / 67
The perimeter of a rectangular parking lot is 368 m.
If the width of the parking lot is 86 m, what is its length?
Answer:
98
Step-by-step explanation:86+86=172
368-172=196
196/2=98
help me pleaseeeeeeeeee
Answer:
82.799...°
Step-by-step explanation:
First, we have to identify how many votes equals 1°
Therfore we divide 4700 by 360° because there are a total of 4700 votes and there are 360° in a circle.
(4700/360) = 13.055...
1° = approximately 13 votes
Secondly, let's look at how many votes Watkins received.
1081 votes
Lastly, since 1° equals 13.055... votes,
then if we divide the number of total votes Watkins got by 13.055 we will find the value of the central angle for the Watkins slice.
1081 ÷ 13.055... = 82.7999..
Sammy makes $2,362/month as a baseball coach. he is making a budget, and has created the following chart in order to divide his monthly paycheck into his various accounts: expense type frequency account monthly amount items essential (fixed) monthly checking $1,292 rent, car, insurance essential (variable) monthly checking $420 basic groceries, telephone, electricity, cable tv, batting practice non-essential monthly cash $260 snack items, restaurants, gifts, movies other (predictable) annual savings $130 health exams, clothing, food, baseball coach magazine other (unpredictable) annual emergency savings $210 non-insured healthcare, repairs, and income replacement other (long-term) 5 years vacation savings $50 vacation total $2,362 sammy makes monthly deposits from each paycheck into the various accounts, and then spends from those accounts only for their defined purposes. he knows that it is not a perfect system, but thinks that it will help to assure coverage for future expenses. using his essential expenses as a guideline, how much will sammy need to save if he wants to have 3 times the amount of his living expenses in the bank as part of his emergency savings. how long will it take him to achieve his goal? a. $1,712; approximately 8 months b. $5,136; approximately 24 months c. $6,486; approximately 30 months d. $2,162; approximately 6 months
The amount of time it would will it take him to achieve his goal is B. $5,136; approximately 24 months.
What are Savings?This refers to the emergency funds that are set aside for situations that were not initially budgeted for.
Hence, because Sammy makes about $2,362/month
Rent, car insurance $1,292
Basic groceries, telephone $420
Snack items $260
Annual Savings $130
Annual emergency savings $210
5 years of vacation savings $50
Total= $2,362
Using Sammy's method of putting these budgets into separate checking accounts, the amount which Sammy needs to save to have x3 of his living expenses and the length of time it would take is $5,136; approximately 24 months.
Read more about savings here:
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Doug has a bag full of crayons. There are 6 red crayons, 7 blue ones, and 4 green crayons. Doug wants to color a blue sky. What is the probability that Doug will pull out a red crayon, put it back in the bag, and then get a blue crayon? Write your answer as a simplified fraction
Answer:
[tex]\sf \dfrac{7}{17}[/tex]
Step-by-step explanation:
Given information:
6 red crayons7 blue crayons4 green crayons⇒ total number of crayons = 6 + 7 + 4 = 17
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
[tex]\implies \sf P(red\:crayon) =\dfrac{\textsf{Number of red crayons}}{\textsf{Total number of crayons}}=\dfrac{6}{17}[/tex]
If the red crayon is put back in the bag, the drawing of the red crayon prior to drawing the blue crayon will not affect the probability of drawing a blue crayon.
[tex]\implies \sf P(blue\:crayon)=\dfrac{\textsf{Number of blue crayons}}{\textsf{Total number of crayons}}=\dfrac{7}{17}[/tex]
Omar rented a truck for one day. There was a base fee of $14.99, and there was an additional charge of 80 cents for each kilometer driven. Omar had to pay
S111.79 when he returned the truck. For how many kilometers did he drive the truck?
Answer: 121 kilometers
Step-by-step explanation:
14.99 + .80x (-14.99) = 111.79 (-14.99)
.80x (/.80) = 96.8 (/.80)
x = 121
Which phrase describes the shape of the temperature data? symmetrical left-skewed right-skewed normal
In this distribution, the shape that describes the temperature data is left-skewed distribution.
What is left-skewed distribution?left-skewed distribution serves as a type of more values on the right side (tail) of the distribution graph .
Therefore, From the graph, majority of the data is to the right of the graph which is a left-skewed distribution.
Learn more about left-skewed distribution at;
https://brainly.com/question/24309209
Answer:
B) left-skewed
Step-by-step explanation:
What is the correct answer NEED ANSWER ASAP
Answer:
Your answer is
x-int: (3 , 0) , (-3/2 , 0)
y-int: (0 , -9)
Step-by-step explanation:
Evaluate the expression for A=3
32-4a
Hi ! Dude
Answer:
20 is the correct answer
Step-by-step explanation:
Given :a = 3 and ,An expression = 32 - 4aWhat we have to do :After reading question we can understand that we have to find the value of expression by plugin the value of a .
Solution Starts :[tex] \qquad \: \rightarrow 32 - 4a [/tex]
Plugin value of a ,
[tex] \qquad \:\rightarrow \: 32 - 4(3)[/tex]
[tex]\qquad \: \rightarrow \: 32 - 12[/tex]
[tex]\qquad \: \rightarrow \: \underline{ \underline{20}}[/tex]
Hence , 20 is the answer .
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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
Evaluate the expression for a=3
32-4a
[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]
Provided Information:-
a=3The expression [tex]\bold{32-4a}[/tex]
To Find:-
Simplify the expression 32-4a
In order to do that, we should
Substitute 3 in lieu of a:-[tex]\tt{32-4(3)}[/tex]
Multiply:-
[tex]\tt{32-12}[/tex]
Subtract:-
[tex]\dashrightarrow\bigstar\boxed{\boxed{\underline{\bold{20}}}}\dashleftarrow[/tex]
So our final solution is 20.
Good luck.- - -- - - - - - - - - - - - - - - - - -- - - - - - - - - - -- -- - - - - -- - - - - - - - - - - - -
Stu takes a job with a starting salary of $65,000 for the first year. he earns a 2% increase each year. to the nearest dollar, how much does stu make over the first five years? $325,000 $331,500 $338,263 $358,826
Answer:
$338,263
Step-by-step explanation:
first year stays the same, then multiply the years salary x 1.02 for the following years
year 1 = $65000
year 2 = 66300
year 3 = 67626
year 4 = 68978.52
year 5 = 70358.09
total for 5 years = $338262.61
rounded to 338,263.
x^2-2x-15>0; use -5,0 and 7 to help find the solution
I don't know what is given when I 8th May but if you can please send the answers
the least common multiple [l.c.m] of16,30and36
Answer:
720
Step-by-step explanation:
16=2^4
30=5*3*2
36=(2^2)*(3^2)
so
(2^4)*5*(3^2)=720
Evaluate: -216 + (-6)
Answer:
-222
Step-by-step explanation:
Answer:
-222 cause a negative plus another negative gets you a positive
Step-by-step explanation:
Please hurry!! Love ya
Answer:
the answer is c
Step-by-step explanation:
If p p and q q vary inversely and p is 17 when q is 4, determine q when p p is equal to 2.
Answer:
[tex]q = 34[/tex] when [tex]p = 2[/tex].
Step-by-step explanation:
Variables [tex]p[/tex] and [tex]q[/tex] ([tex]p \ne 0[/tex], [tex]q \ne 0[/tex]) are inversely proportional to one another if one variable- for example, [tex]p[/tex]- is proportional to the reciprocoal of the other variable- [tex](1/q)[/tex].
In other words, if [tex]p[/tex] and [tex]q[/tex] ([tex]p \ne 0[/tex], [tex]q \ne 0[/tex]) are inversely proportional to one another, there would exist a constant [tex]k[/tex] ([tex]k \ne 0[/tex]) such that:
[tex]\displaystyle p = k\times \left(\frac{1}{q}\right)[/tex].
The value of [tex]k[/tex] is constant and is independent of [tex]p[/tex] and [tex]q[/tex]. Given that [tex]p = 17[/tex] when [tex]q = 4[/tex], rearrange the equation above to find the value of [tex]k\![/tex]:
[tex]k = p\, q = 68[/tex].
Rewrite the equation again to find [tex]q[/tex] in terms of [tex]k[/tex] (which doesn't change) and [tex]p[/tex] (which might change):
[tex]\begin{aligned}q &= \frac{k}{p}\end{aligned}[/tex].
Since [tex]k = 68[/tex], given that [tex]p = 2[/tex], the value of [tex]q[/tex] would be:
[tex]\begin{aligned}q &= \frac{k}{p} \\ &= \frac{68}{2} = 34\end{aligned}[/tex].