The length of a small rectangular room is "6 more than the width" and the area of the room is 27 square units. Which of the following represents the dimensions of the room?
Step-by-step explanation:
sL=6+W
A=27square
A=L×W
=(6+w) ×W
Solve: 3w + 2 = 20 Write a real world problem that this equation represents.
Step-by-step explanation:
3w + 2 = 20
-2 -2
------------------
3w = 18
---- ----
3 3
w = 6
You and your 2 friends have 20 fruits in total and your friend's mother gave you and your friends two more.
Hope this helped.
Equation – 3w + 2 = 20
Solution :3w + 2 = 20Transpose 2 to the right hand side of the given equation
3w = 20 - 2Now, simplify the right hand side
3w = 18Cross multiply
w = 18/3 w = 6Hence, the solution of the equation is 6
ef is the median of trapezoid abcd (please explain the answer im so confused lol)
Step-by-step explanation:
Okay, so...
The Median of a trapezoid is directly in the middle. For some weird mathimatical reason you won't ever need to know unless it's on an exam or you become a math major, its midsegment is the average of the top length and the bottom length.
In other words,
EF = ( BC + AD ) / 2
So for part 1, we can use that equation to find x.
[tex]EF = ( BC + AD ) / 2[/tex]
Insert known equations.[tex]4x-18=[(x+12)+(3x-4)]/2[/tex]
Simplify within parentheses.[tex]4x-18=[x+12+3x-4]/2[/tex]
[tex]4x-18=[x+3x+12-4]/2[/tex]
Add.[tex]4x-18=[4x+8]/2[/tex]
Divide.[tex]4x-18=2x+4[/tex]
Simplify.[tex](4x-2x) +(-18+18)=(2x-2x)+(4+18)[/tex]
[tex]2x=22[/tex]
Divide both sides by 2.[tex]x=11[/tex]
Part 2 is a lot easier now. All we have to do is plug in 11 for x.
[tex]BC =x+12[/tex]
[tex]BC = 11+12[/tex]
[tex]BC = 23[/tex]
-
[tex]AD = 4x-18[/tex]
[tex]AD = 4(11)-18[/tex]
[tex]AD = 44-18[/tex]
[tex]AD = 26[/tex]
-
[tex]EF = 3x-4[/tex]
[tex]EF = 3(11)-4[/tex]
[tex]EF = 33-4[/tex]
[tex]EF = 29[/tex]
Answer:
Part I: x = 11
Part II:
BC = 23AD = 26EF = 29Find the measure of one interior angle for the following regular polygon
Tickets for the school dance are $5. At that price, 300 students go to the dance. A survey of the students shows that if the ticket price goes up by $0.50, the number of students going to the dance decreases by 30. What is the optimum ticket price?
Answer:
The optimal price should be $10 which will result in maximum revenue.
Step-by-step explanation:
y = [5+ 0.5x] [ 300 - 30x]
y = 1500 - 150x + 150x - 15x^2
y = 1500 - 15x^2
x^2 = 1500 /15
x = [tex]\sqrt{100}[/tex]
x = 10
What is the domain of the function graphed below?
Answer:
(-2,4] and [7,α)
Step-by-step explanation:
the domain is open at -2 but closed at 4 and also closed at 7 but open till infinity..
The domain of the given function is (-2,4] U [7, ∞), which is the correct option (B).
What is a piecewise function?A piecewise-defined function (also known as a piecewise function or a hybrid function) is a function defined by multiple sub-functions, each of which applies to a different interval of the main function's domain (a sub-domain).
The graph is given in the question, as shown
f(x) = x²+1 if (-2,0]
This the sub-function define between the interval (-2,0].
f(x) = -1 if (0, 4]
This the sub-function define between the interval (0, 4].
f(x) = -(x-7)² if [7, ∞)
This the sub-function define between the interval [7, ∞).
Thus, the domain of the given function is (-2,4] U [7, ∞).
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Solve for F. Round to the nearest tenth, if necessary.
19
1389
х
Answer: =
Submit Answer
attempt 1 out of 2
PLS HELP
Answer:
24.3
Step-by-step explanation:
tan(theta) = P/B
tan(38) = 19/x
x=19/tan(38)=24.3
Two friends go to a Mexican restaurant for lunch. One friend orders 1 soft taco and
3 burritos and his bill was $8.75. The other friend's bill was $10.00 and he ordered 4
soft tacos and 2 burritos. What is the cost of a taco and what is the cost of a
burrito?
The cost of a taco is:
The cost of a burrito is:
Answer:
cost of a taco: $1.25
cost of a burrito: $2.50
Step-by-step explanation:
Let the cost of a taco be $t and the cost of a burrito be $b.
t +3b= 8.75 -----(1)
4t +2b= 10
Divide both sides by 2:
2t +b= 5
Making b the subject of formula:
b= 5 -2t -----(2)
Substitute (2) into (1):
t +3(5 -2t)= 8.75
Expand:
t +3(5) +3(-2t)= 8.75
t +15 -6t= 8.75
t -6t= 8.75 -15
-5t= -6.25
t= -6.25 ÷(-5)
t= 1.25
Substitute t= 1.25 into (2):
b= 5 -2(1.25)
b= 5 -2.5
b= 2.50
Thus, the cost of a taco is $1.25 and the cost of a burrito is $2.50.
The sum of 2 consecutive integers 117 what are the integers
Answer:
58,59
Step-by-step explanation:
Let x be the first integer
x+1 be the next consecutive integer
x + x+1 = 117
2x+1 = 117
2x +1-1 =117-1
2x = 116
2x/2 = 116/2
x = 58
x+1 = 59
what is a fraction between 1/31 and 1/22?
__________
Step-by-step explanation:
Q = { 1/31 < x < 1/22 }
Q = { 1/30, 1/29, 1/28, 1/27, 1/26, 1/25, 1/24, 1/23 }
#mathisfun
What is the measure of
Answer:
try D
Step-by-step explanation:
Find the perimeter of the following figure.
Answer:
10 meters
Step-by-step explanation:
Perimeter= 3+3+2+2
=10
Have a nice day:)
what function equation is represented by the graph?
Answer:
maybe f(x)= -2/3 x + 1 since it goes down two times or up two times and three times to the left or right depending where you wanna go i don't know how to explain but maybe this might help
PLZZZZZZ HELPPPPPP!!!!!!!!!
Answer:
1 3/8 ft. tall.
Step-by-step explanation:
First, we need to find a common denominator between the two fractions.
8 is already a common denominator of 2, so convert 1/2 into 4/8.
Then add 7/8 and 4/8 to get 1 3/8 ft. tall.
Hope this helps.
If there is something wrong, just let me know.
Find the value of x in the figure.
X= _
Answer:
x=35
Step-by-step explanation:
For a polygon with n sides, the sum of its interior angles is equal to
(n-2) * 180
Here, there are 6 sides, so the sum of this polygon's interior angles is equal to (6-2)* 180 = 720
Therefore, the sum of the interior angles is 720. We can add them up to get
(4x-5) + 117 + (3x-3) + (3x+6) + 118 + 4x-3
= 14x +230 = 720
subtract 230 from both sides to isolate the x and its coefficint
14x = 490
divide both sides by 14 to get x
x=35
Step 1: Subtract 3 from both sides of the inequality. Step 2: __________ Step 3: Divide both sides of the inequality by the coefficient of x.
Answer:
Hence the correct answer is Add 8x to both sides of the inequality.
Step-by-step explanation:
Step 1: Subtract 3 from both sides of the inequality.
Step 2: Add 8x to both sides of the inequality.
Step 3: Divide both sides of the inequality by the coefficient of x.
The inequality
5 - 8x < 2x + 3.
Can someone help me with this plz plz pls
56/11=5.09090909090.......
50/9=5.5555........
7/9=0.777777.......
Which statement is true about the given function?
Answer:
it's the 3rd option
Step-by-step explanation:
f(x) 0 over the intervals (–∞ –3)
Hope it's right
What is the midpoint of the segment shown below?
10
O A. (-1,-1)
(-11, 0)
O B. (-2, -3)
O C. (-1, -3)
- 10
10
(9,-1)
- 10
D. (-2, -1)
Answer:
(-1,-0.5)
Step-by-step explanation:
Find the solution to this problem by using the midpoint formula which is (x1+x2/2,y1+y2/2) plug in the values of y and x to get -11+9/2+0-1/2. simplify to get the solution of (-1,-0.5)
If d= the number of dogs ,which variable expression represents the phase below? The sun of the number of dogs and the 6 cats
Answer:
d + 6
Step-by-step explanation:
Given that :
Number of dogs = d
The sum of the number of the number of dogs and 6 cats is :
This is a straightforward question :
We take the sum of d and 6
Hence, we have
d + 6
find the quantity whose 15% in 220
Answer:
Step-by-step explanation:
[tex]\frac{15}{100}*220=\frac{15}{10}*22=3*11 = 33[/tex]
A stereo has a cash price of $850. It can be bought for a deposit of $200 and 12 monthly installments of $70. calculate the hire purchase price
Step-by-step explanation:
Marie has decided to start saving for a down payment on her home. If she puts $1,000 every quarter for five years into a GIC earning 6% compounded monthly she will have $20,979.12. She will make her first deposit three months from now.
Laroquette Holdings needs a new $10 million warehouse. Starting today the company will put aside $139,239.72 every month for five years into an annuity earning 7% compounded semi-annually.
Brenda will lease a $25,000 car at 3.9%
The required amount that is paid on hire price is $190.
Given that,
A stereo has a cash price of $850. It can be bought for a deposit of $200 and 12 monthly installments of $70.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Total price = $850
Total paid = 200 + 70×12
Total paid = $1040
Total extra pay = 1040 - 850 = $190.
Thus, the required amount that is paid on hire price is $190.
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If MN = 5, NO = 13, then LM = (Blank 1). (Round your answer to one decimal place, as necessary.)
Answer:
8.1 = LM
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
13 * 5 = LM^2
65 = LM^2
sqrt(65) = LM
8.06225 = LM
To one decimal place
8.1 = LM
pls help i need to finish this !!
Answer:
a
Step-by-step explanation:
it's non-linear
Step-by-step explanation:
the functions linear because as x increases by 4, y is increasing by 12 at a constant rate
5. Find the measure of x and and the angle measure.
(3x - 15)
(2x + 7)
Answer:
here's the answer to your question
to use the Pythagorean theorem, we need
a. right triangle with 2 known angles and 1 side
b. right triangle with 2 known angles
c. right triangle with 1 known side and 1 known angle
d. right triangle with 2 known sides
Answer:
sfygyisfislsiyitiyjhjs hjgks6skyk
Step-by-step explanation:
jzsisfyisyistoisisoootsCan u help solve this
Answer:
Sure:)! the answer is-487.5
Step-by-step explanation:
1.3x3xr^31.3x3=3.93.9r^3r=55x5x5=1253.9x125=487.5As said in the problem pie=3 as determined in the problem. Hence, the answer is 487.5
Hope this helps :)!
Step-by-step explanation:
[tex]volume = \frac{4}{3} \pi \: {r}^{3} \\ = here\pi = 3 \\ then \: v = \frac{4}{3} \times 3 \times {5}^{3} \\ = 4 \times 125 \\ = 500 {in}^{3} \\ thank \: you[/tex]
sin(2x-pi/2)=sin pi/3
2. Given the function f : x -> |x+8|, find the possible values of x when the image is 3.
Answer:
f (x)=11
Step-by-step explanation:
f (x)= x + 8
f (3)= (3 +8)
=f(x) =11
**replace the x with a variable which is 3
A transformation of AKLM results in AK'L'M'.
Which transformation maps the pre-image to the image?
O dilation
O translation
O reflection
O rotation
K
K
M
M
The transformation that maps the pre-image to the image is given as follows:
Dilation.
How to identify the transformation?The four types of transformation listed in this problem cause these following changes:
Translation: only the position of the figure changes, the orientation, the inclination and the side lengths remain constant.Reflection: The orientation of the figure changes.Rotation: The inclination of the figure changes.Dilation: The side lengths of the figure change, while the angle measures remain constant.From the image, we get that the side lengths were doubled, while the angle measures remained constant, meaning that the transformation is a dilation and the first option is the correct option.
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Answer:
dilation
Step-by-step explanation:
took the test
