Answer:
3/8
Step-by-step explanation:
A ratio is expressed in lowest terms by removing common factors from numerator and denominator.
[tex]\dfrac{2.7\text{ hr}}{7.2\text{ hr}}=\dfrac{3\cdot0.9\text{ hr}}{8\cdot0.9\text{ hr}}=\boxed{\dfrac{3}{8}}[/tex]
What is the solution of 4 startroot 5 x 66 endroot = x 10? x = –10 x = 3 x = –10 or x = 3 no solution
Answer:
x=3
Step-by-step explanation:
....................
Answer:
x=3
Step-by-step explanation:
i did the edg test
It is currently ___ for me right now.
1:24 since this was asked a min ago
You are in a basketball 3-point contest. You have 1 regular ball, and 1 money ball left to shoot. If you make
both shots, you will get a total of 10 points. If you make just the money ball, you will get 3 points. Under
any other outcome, you will receive 0 points.
You approximate that the probability of you making the regular shot is 60% and the probability of you
making the money ball is 70%. You assume that each shot is independent.
What is the expected number of points you will score?
Answer:
10, if you make both shots;
3, if you make just the money ball
7, if you make just the regular ball
Step-by-step explanation:
Let x² + 15x = 49 . What values make an equivalent number sentence after completing the square? Enter your answers in the boxes.
x² + 15x + = [ ]
Answer:
Step-by-step explanation:
15/2 = 7.5 and (7.5)^2 = 56.25 so
x^2 + 15x + 56.25 = 49 + 56.25
x^2 + 15x + 56.25 = 105.25.
Answer:
[tex]x^2+15x+\boxed{\dfrac{225}{4}}=\boxed{\dfrac{421}{4}}[/tex]
[tex]x^2+15x+\boxed{56.25}=\boxed{105.25}[/tex]
Step-by-step explanation:
General form of a quadratic equation: [tex]ax^2+bx+c[/tex]
When completing the square, first add the number that is the square of half of [tex]b[/tex].
Given equation: [tex]x^2+15x=49[/tex]
Therefore, [tex]b=15[/tex]
[tex]\implies \left(\dfrac{b}{2}\right)^2=\left(\dfrac{15}{2}\right)^2=\dfrac{225}{4}[/tex]
So we need to add 225/4 to both sides of the equation:
[tex]\implies x^2+15x+\dfrac{225}{4}=49+\dfrac{225}{4}[/tex]
[tex]\implies x^2+15x+\boxed{\dfrac{225}{4}}=\boxed{\dfrac{421}{4}}[/tex]
In decimal form:
[tex]\implies x^2+15x+\boxed{56.25}=\boxed{105.25}[/tex]
To finish completing the square,
factor the left side of the equation:
[tex]\implies \left(x+\dfrac{15}{2}\right)^2=\dfrac{421}{4}[/tex]
Finally, subtract 421/4 from both sides:
[tex]\implies \left(x+\dfrac{15}{2}\right)^2-\dfrac{421}{4}=0[/tex]
In decimal form:
[tex]\implies (x+7.5)^2-105.25=0[/tex]
△JKL has vertices J(−3,5), K(−1,0) and L(8,−4). Which of the following represents the translation of △JKL along vector <−4, 7> and its reflection across the x-axis?
Answers:
J (−3, 5) → J ′(1, −2) → J ″(−1, −2);
K (−1, 0) → K ′(3, −7)→ K ″(−3, −7);
L (8, −4)→ L ′(12, −11)→ L ″(−12, −11)
J (−3, 5) → J ′(1, −2) → J ″(1, 2);
K (−1, 0) → K ′(3, −7)→ K ″(3, 7);
L (8, −4)→ L ′(12, −11)→ L ″(12, 11)
J (−3, 5) → J ′(−7, 12) → J ″(7, 12);
K (−1, 0) → K ′(−5, 7)→ K ″(5, 7);
L (8, −4)→ L ′(4, 3)→ L ″(−4, 3)
J (−3, 5) → J ′(−7, 12) → J ″(−7, −12);
K (−1, 0) → K ′(−5, 7)→ K ″(−5, −7);
L (8, −4)→ L ′(4, 3)→ L ″(4, −3)
Answer:
J (−3, 5) → J ′(−7, 12) → J ″(−7, −12);
K (−1, 0) → K ′(−5, 7)→ K ″(−5, −7);
L (8, −4)→ L ′(4, 3)→ L ″(4, −3)
Step-by-step explantion
Use the translation vector <−4, 7> to determine the rule for translation of the coordinates: (x,y)→(x+(−4),y+7).
Apply the rule to translate vertices J(−3,5), K(−1,0) and L(8,−4).
J(−3,5)→(−3+(−4),5+7)→J'(−7,12).
K(−1,0)→(−1+(−4),0+7)→K'(−5,7).
L(8,−4)→(8+(−4),−4+7)→L'(4,3).
To apply the reflection across x-axis use the rule for reflection: (x,y)→(x,−y).
Apply the reflection rule to the vertices of △J'K'L'.
J'(−7, 12)→J''(−7,−12).
K'(−5,7)→K''(−5,−7).
L'(4,3)→L''(4,−3).
Therefore,
J(−3,5)→J'(−7,12)→J''(−7,−12)K(−1,0)→K'(−5,7)→K''(−5,−7)
L(8,−4)→L'(4, 3)→L''(4,−3)
represents the translation of △JKL along vector <−4, 7> and its reflection across the x-axis.
7. If the diagonals of a square measure 24
meters, what is the length of a side of the
square?
Answer:
Step-by-step explanation:
the diagonal is the hypotenuse of a 45-45-right triangle
the two legs are the same measure so the Pythagoreant theorem
2x²=24 divide by 2
x² = 12 square root
[tex]x = \sqrt{12} \\ \sqrt{4x3} \\2\sqrt{3}[/tex]
Please help me
I dont understand this
Answer:
[tex]y=-5(x+2)-1[/tex]
[tex]y=-5(x+3)+4[/tex]
Step-by-step explanation:
Two points on the line are (-3, 4) and (-2, -1)
Therefore:
[tex]\textsf{let}\:(x_1,y_1)=(-3,4)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(-2,-1)[/tex]
[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-1-4}{-2-(-3)}=-5[/tex]
Point-slope form of linear equation: [tex]y-y_1=m(x-x_1)[/tex]
Substituting point (-3, 4) in the point-slope equation:
[tex]\implies y-4=-5(x-(-3))[/tex]
[tex]\implies y=-5(x+3)+4[/tex]
Substituting point (-2, -1) in the point-slope equation:
[tex]\implies y-(-1)=-5(x-(-2))[/tex]
[tex]\implies y=-5(x+2)-1[/tex]
Find the equation of the line that goes through the points (4, 4) and (8, 6).
y = 1/2 x + 2
y = 4x + 6
y = 1/2 x + 4
y = 2x - 4
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Identify the polygon below as regular or irregular.
Answer:
it is an regular polygon
- What Is the perimeter of the rectangle below?
Please Show How To Slove it with a formula
Thank You!
Answer:
18
Step-by-step explanation:
double both numbers and add them together and thats how you find the answer to a rectangle
What is the perimeter of the figure?
Answer:
the perimeter is the distance around a surface. so it's 4+4+8+5+1 = 22 m = C
Answer:
Option C, 22m
Step-by-step explanation:
Step 1: Determine the perimeter
Finding the perimeter means that we need to add up all of the sides into one number which will give us the total length of the entire item.
4m + 4m + 8m + 5m + 1m
22m
Answer: Option C, 22m
Can anyone solve this problem? I am wiling to award brainliest! Thanks so much guys!
Answer:
p = [tex]-\frac{15}{2}[/tex], p = [tex]\frac{17}{2}[/tex]
Step-by-step explanation:
1. Subtract 15 from both sides:
- |2p -1| = -16
2. Divide both sides by -1:
[tex]\frac{-|2p - 1|}{-1} = \frac{-16}{-1}[/tex]
|2p - 1| = 16
3. Apply the absolute value rule (If |u| = a, a > 0, then u = a, or u = -a)
2p - 1 = 16 or 2p - 1 = -16
4. Solve for the positive and negative intervals:
2p - 1+1 = 16+1
2p = 17
[tex]\frac{2p}{2} = \frac{17}{2}[/tex]
p = [tex]\frac{17}{2}[/tex]
2p - 1+1 = -16+1
2p = -15
[tex]\frac{2p}{2} = \frac{-15}{2}[/tex]
p = [tex]\frac{-15}{2}[/tex]
hope this helps!
Please help with this equation too. Show steps .
Step-by-step explanation:
[tex] \frac{2}{3} v + \frac{1}{6} = \frac{7}{9}v - \frac{5}{6} [/tex]
[tex] \frac{1}{6} + \frac{5}{6} = \frac{7}{9} v - \frac{2}{3} v[/tex]
[tex] \frac{6}{6} = ( \frac{7}{9} \times \frac{2}{3} )v[/tex]
[tex]1 = ( \frac{7}{9} - \frac{2 \times 3}{3 \times 3} )v[/tex]
[tex]1 = ( \frac{7}{9} - \frac{6}{9} )v[/tex]
[tex]1 = ( \frac{7 - 6}{9} )v[/tex]
[tex]1 = ( \frac{1}{9} )v[/tex]
[tex]v = 9[/tex]
I hope it helped you
Answer:
The correct answer is v=9
Step-by-step explanation:
The picture is attached.
Hope it helps you buddy!!!!!!
Please Mark me as Brainleast!!!!!!!!!
40 points :) Please help me
Answer:
Formula for arc length is;
[tex]\frac{\theta}{360}*2\pi r\\[/tex]
Step-by-step explanation:
[tex]\frac{\theta}{360}*2\pi r\\[/tex]
[tex]\frac{210}{360}*2\pi *11yd[/tex]
so arc length is;
[tex]\frac{77\pi }{6}yd[/tex]
What is the equation of the line that passes through the point (-4,2) and has a slope of -1?
The box plot shows the number of home runs hit by 43 players during a baseball season. Which statement best describes the data?
Which equation results from isolating a radical term and squaring both sides of the equation for the equation
c-2-Nc -5?
O c- 2-25+c
O c- 2-25-c
O c- 2 - 25+ c- 10/c
O c- 2 -25+c+10v/c
Hurry I need help
Answer:
4th option
Step-by-step explanation:
√(c - 2) - √c = 5Bring the negative radical on the left to the other side to make it positive.
√(c - 2) = 5 + √cSquare both sides.
[√(c - 2)]² = [5 + √c]²c - 2 = 25 + c + 2(5)√cc - 2 = 25 + c + 10√cx+7y=17 is my question.
Answer:
-1/7
Step-by-step explanation:
hope it helps:
PLEASE HELP ASAP NO LINKS. For four Fridays in January, Laurel earned $20.50, $30.75, $28.00, and $25.25 from babysitting.
In February, she earned $12 more for babysitting four Fridays than she did in January.
What is the increase in the mean for February compared to January?
Round the answer to the nearest penny.
Enter your answer in the box.
Answer:
the icreace is 9.88
Step-by-step explanation:
Bill ran 10 laps around the high school track in 12 minutes how many laps can be run in 45 minutes
Answer:
37.5 laps
Step-by-step explanation:
If we assume that Bill can run at the same speed for 45 minutes, the number of laps will be proportional to the time.
laps/time = 10 laps/(12 minutes) = n laps/(45 minutes)
n laps = (10 laps)(45/12) = 37.5 laps . . . . . multiply by 45 minutes
Bill can run 37.5 laps in 45 minutes.
Suppose you are given Circle B with Area of ΔAOB(purple) = Area of Sector BOC (pink). What is m
Complete your work, including any drawings, on a separate piece of paper to solve the problem. Upload a copy of your solution here.
Please answer asap!! 40 Points!!!
The measure of angle BOC is 28.65°.
What is Area?Area of a two dimensional shape is the total region which is bounded by the object's shape.
The area of a triangle is,
Area = 1/2 × base × height
We have radius of the circle is 12 inches since OA = 12 which is the radius.
So, OB = 12 inches.
Height of the triangle AOB to the base OA = 12 sin (30°) = 12/2 = 6 inches
Area of ΔAOB = 1/2 × 12 × 6 = 36 inches²
Area of sector = (x/360°) πr², where r is the radius and x is the central angle formed.
Here x is ∠BOC.
Since area of sector = area of triangle,
(x/360°) π(12)² = 36
x π = 90°
x = 28.65°
Hence the required measure is 28.65°.
Learn more about Area of Sectors here :
https://brainly.com/question/7512468
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saskia builds a wall using 1500 bricks. she can build at the rate of 40 bricks each hour. she works for 9 hours each day. saskia starts work on 6 july and works every fay until the wall is completed. find the date when she completes the wall.
answer with full working plss
Answer:
it would take about 4 days to complete
PLEASE HELP QUICK AHHHH <333
Answer:
=> ( -6,-10 )Step-by-step explanation:
Given :
x = -6
-7x + 6y = -18 ... i)
Putting the value of x in equation ...i)
=> -7 (-6) + 6y = -18
=> 42 + 6y = -18
=> 6y = -18 -42
=> 6y = - 60
=> y = -60/6
=> y = -10
The value of y = -10 and x = -6
Answer:
x= 4, y=6
Step-by-step explanation:
9x-9y = -18
9x=-18+9y
x=-2+y
-6(-2+y) + 9y = 6
-12-6y+9y=6
3y=18
y=6
9x -9(6)=-18
9x-54=-16
9x=36
x=4
What is the perimeter, in units of a polygon with vertices located at (-7, -3), (-7, 4) , (6, -3), and (6, 4)?
Answer:
40 units
Step-by-step explanation:
-7 to 6 is 13 units and -3 to 4 is 7 units, it asks for perimeter so 13 x 2 + 7 × 2
Start Time: 3:20 p.m. End Time: 6:00 p.m. Elapsed Time:
Your answer is 2 hours and 40 minutes
nine less than one forth of a number is 6
Answer:
[tex]x = 60[/tex]
Step-by-step explanation:
Step 1: Convert into an equation
Nine less than one forth of a number is 6
[tex]1/4x - 9 = 6[/tex]
Step 2: Add 9 to both sides
[tex]1/4x - 9 = 6[/tex]
[tex]1/4x - 9 + 9= 6+ 9[/tex]
[tex]1/4x = 15[/tex]
Step 3: Multiply both sides by 4
[tex]1/4x * 4 = 15 * 4[/tex]
[tex]x = 60[/tex]
Answer: [tex]x = 60[/tex]
PLEASE HELP ME I HAVE 11 MINUTES TO ANSWER!!!!
The Star Wars saga is one of the best science fiction stories of all time. How do you feel about
Disney taking over the franchise?
Answer:
Say your own opinion about your feelings on it
Answer: This is an opion question you could just say how you feel about disney but if you dont know what to say I will tell you in the explanation.
Step-by-step explanation: Im happy that disney is taking over the franchise it is now very succesfull and i'll tell you what I like about it.
5) It is an escape from reality.
4) It is growing up with us.
3) It makes us happy.
2) It brings us back to our childhood.
1) We can share it with our families/friends.
There is also many more but these are my main.
Is 6x^-3+3x monomial, binomial or trinomial?
Answer:
binomial
Step-by-step explanation:
There are 2 variables.
One is 6x⁻³ the other is 3x.
Pls help me
Pls help
Answer:
a) x-intercept is x=-4
Step-by-step explanation:
From y=log(x-h)+k, h is the value of transitioning between left or right.
Since x+4 makes it x-(-4) means x=-4
On Monday,221 students went on a trip to the zoo.all 4 buses were filled and 5 students had to travel in cars how many students were in each bus
Answer:
54
Step-by-step explanation:
If 5 students went in cars then 216 students were in the buses (221-5=216)
There were four buses so divide 216 by 5 which is 54.
So there were 54 students in each bus
Answer:
54
Step-by-step explanation:
If you have 221 students going to the zoo and 5 that went to the zoo in cars you only need to account for the 216 travelling by bus. So you subtract 5 from 221 and divide what you have left over (216) by 4 for the 4 buses you're using.
216/4= 54