Step-by-step explanation:
[tex]a = \frac{ 5{x}^{2} }{2} = 360 \\ b = \frac{2 {x}^{2}( x - 5) }{10x} [/tex]
a =
[tex] \frac{5( {12}^{2} )}{2} = 360 = a \\ \frac{5(144)}{2} = 360 = a \\ 5(72) = 360 = a \\ a = 360[/tex]
b =
[tex]b = \frac{2 {x}^{2} (x - 5)}{10x} \\ b = \frac{x(x - 5)}{5 } \\ b = \frac{ {x}^{2} - 5x}{5} \\ b = \frac{ {12}^{2} - 5(12) }{5} \\ b = \frac{144 - 60}{5} \\ b = \frac{84}{5} \\ b = 16.8[/tex]
The required values are a = 360 and b = 16.8 when x = 12.
What is a numerical expression?A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
The numerical expressions are given as:
a = 5x²/ 2 = 360
b = 2x² × (x-5) / 10x
To find the value of a when x = 12, we can substitute 12 for x in the expression for a:
a = 5(12)² / 2 = 360
To find the value of b when x = 12, we can substitute 12 for x in the expression for b:
b = 2(12)² × (12-5) / 10(12)
= 2(144) × 7 / 120
= 288 × 7 / 120
= 2016 / 120
= 16.8
Therefore, when x = 12, a = 360 and b = 16.8.
To learn more about numerical expression click here :
https://brainly.com/question/6037813
#SPJ2
Factorise: 25x²-20x+4
(5x - 2)²
Step-by-step explanation:
25x² - 20 + 4
(5x - 2)(5x - 2)
(5x - 2)²
Answer: (5x-2)^2
Step-by-step explanation: I just thought of the answer
What is the y-intercept of the line 3x-4y=24
Answer:
(0,-6)
Step-by-step explanation:
3x-4y=24
To find the y intercept, let x =0 and solve for y
3(0) -4y =24
-4y =24
Divide by -4
-4y/-4 = 24/-4
y = -6
The y intercept is
(0,-6)
Five years ago, Enormous State University's campus publication, The Campus Inquirer, ran a total of 11 exposés dealing with alleged recruiting violations by the football team and with theft by the student treasurer of the film society. Each exposé dealing with recruiting violations resulted in a $3 million libel suit, and the treasurer of the film society sued the paper for $2 million as a result of each exposé about his alleged theft. Unfortunately for The Campus Inquirer, all the lawsuits were successful, and the paper wound up being ordered to pay $29 million in damages. (It closed down shortly thereafter.) How many of each type of exposé did the paper run? exposés on the football team exposés on the film society treasurer
How many solutions are there for this equation?
3(4x + 2) = 8x + 24 –2x
Answer:
one solution i believe
Step-by-step explanation:
x = 3
4. Bob spent $30 playing paintball which
included a $16 entry fee and $3.50 per hour of
play. How many hours did Bob play?
Answer: 4 hours
Step-by-step explanation:
First, set up an equation. We know that Bob spent $30 on playing paintball so we use that as our 'answer.' We need to find how many hours Bob played so we need to use x, a variable to find it. We also add 16 because we need to account for the entry fee.
3.50x + 16 = 30
Secondly, solve for x. Move 16 across the equal sign(=). Every time you move across the =, you're going to want to change the sign (if it's addition or subtraction). Since it was +16 and we're moving it, it's now -16.
3.50x = 30 - 16
Calculate 30 - 16 = 14.
Now we have
3.50 x = 14.
To calculate x, we're going to need to divide 3.50 from x. Since we multiplied by x we need to do the opposite across the =.
x = 14 / 3.50
x = 4
Bob spent 4 hours playing paintball.
You can plug it in to check answers as well
3.50 (4) +16 = 30
The constant of proportionality has the same value as the unit rate true or false?
Answer:
True they represent the same thing
can sum1 pls answer that and pls tell why u picked wtv answer u pick
Answer:
Lane 3 turtle.
Step-by-step explanation:
The slope for the lane 3 turtle is steeper than that of the lane 1 turtle. We know slope of a position vs time graph is velocity, so whichever turtle has the steeper/greater slope that turtle is fastest.
The shoe shop is having a sale on sneakers. The original price for a pair of high top sneakers was $135.00. The sale price for the sneakers was $93.50. What is the percent decrease in the price of sneakers?
what are some examples of a scalene triangle in the real world
Answer:
tortilla chips, sails on boats, and slices of pizza
Step-by-step explanation:
Answer:
Nacho chips
Sails (As in sails on a sailing boat)
Sanwiches
Rooves
dibdnqkqnamkakqnnanamamnanmamamamnamananananamam
The figure below is translated left 3 units. What are the coordinates of the image of
point A after this transformation?
Answer:
(-10, 2)
Step-by-step explanation:
Point A = (-7, 2)
Moving the point 3 units to the left is the same as subtracting 3 from the x coordinate:
(-7, 2) --> (-10,2)
-7 - 3 = -10
Tianna has $4200 in an account that pays her monthly rent of $600 while she is attending college for the school year. She occasionally reviews her account to determine the amount left in the account.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Blank 1 [tex]\rightarrow[/tex] 4200
Blank 2 [tex]\rightarrow[/tex] -600
Blank 3 [tex]\rightarrow[/tex]
[tex]y = - 600x + 4200[/tex]Give the domain and range
Pls tell me you guys understand that…
Answer:
The domain is -3 ≤ x ≤ 2. The range is -4 ≤ y ≤ -1
Step-by-step explanation:
The domain of a function is the set of possible x-values and the range is the resulting set of y-values
A cheetah traveling at 31 m/s chased its prey for 11 seconds. What distance did the cheetah travel during the chase?
Answer:
341
Step-by-step explanation:
multiply 31 by 11
Please help
80 POINTS plus BRAINLIEST, THANKS AND 5 STAR
Answer:
Steps and solution in the attached picture.
Step-by-step explanation:
Steps and solution in the attached picture.
can someone help me with this pls
Help I’m timed!!
Based in the table, which best predicts the end behavior of the graph of f(x)?
Answer:
option 3
Step-by-step explanation:
What is the tangent ratio of angle x?
Answer:
2nd option
Step-by-step explanation:
tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{MO}{MN}[/tex] = [tex]\frac{8}{15}[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Using Trigonometry,
[tex] \tan(x) = \dfrac{8}{15} [/tex]Lala spent 13 hours and 34 minutes on math
homework and 25 hours and 25 minutes on
social studies homework. How much time did
Lala spend on homework?
Answer:
38hours59minutes
Step-by-step explanation:
Answer:
38 hours and 59 minutes
Hope this helps! Good luck! :)
Estimate the quotient.
38) $2,764
Answer:
[tex]38 \sqrt{2764} \\ 76 \sqrt{691} \\ [/tex]
100 Points and brainliest for correct answer !!
Image attached may not be needed its just there in case.
Here's the question that I need it for. I need to know the theorems because I DONT KNOW
2. What other properties exist in your triangle? Discuss at least two theorems you learned about in this module that apply to your triangle. Make sure to show evidence by discussing your triangle's measurements.
- I learned that if two sides of my triangle are congruent then the angles opposite of them are congruent as well. The third angle is 90 degrees.
Same Question here answered by me correctly with proper explaination.
Visit the link below for your answer.
https://brainly.com/question/25015750?
subtracting decimals
subtract 10.04 from 11.678.
Answer:
The answer is 1.638
Step-by-step explantion:
11.678-10.04=1.638
So the answer is 1.638
Answer:
1.638
Step-by-step explanation:
11.678-10.04=1.638
11.678
-10.040
-------------
1.638
what is 8 times 67 can you find the answer
Answer:
eight times sixty seven is equal to five hundred thirty six
[tex]8 \times 67 = 536[/tex]
Answer:
536
Step-by-step explanation:
67
+67
-------
134
+67
-------
201
+67
-------
268
+67
-------
335
+67
-------
402
+67
-------
469
+67
-------
536 which is your answer. For multiplication all you have to do is add the number by its self how many ever times it says.
|3(x-2)|=12 Please explain too!
Answer:
x = 6
Step-by-step explanation:
To solve the value of x
3(x-2)=12
First solve the brackets
3x -6 = 12
Now Transpose
3x = 12 + 6
3x = 18
x = 18 ÷ 3
x = 6
The value of x will be 6
PLEASE HELPPP !!!!!!!!
Answer:
Step-by-step explanation:
We have to do an expression doing A - B
So we have to subtract A-B, let us see what we can do.
Distance between AB
= A - B
B = 0.5
A = -2.5
= 0.5 - (-2.5)
= 0.5 + 2.5
= 3
The additional inverse of the number a is the number that, when added to a , yields zero.
negation of each other
What is lenght of the arc of this sector plsss help and show working and answer
Answer:
ewan hahahahahahhhahaahahahah
Someone help me please
________
[tex] \: [/tex]
c² = a² + b²
c² = 1² + (√3)²
c² = 1 + 3
c² = 4
c = √4
c = 2
How much lighter is 345 g than 1,1 kg
Answer:
755 gram lighter
Step-by-step explanation:
Convert 1.1kg into gram by multiplying it with 1000
1.1 x 1000= 1100 and we take this amount and subtract it with 345g
1100-345= 755g
NEED HELP QUICK
What is slope, y-intercept and the equation of the line through the points (−3, −4) and (0, −1)?
Show your work and answer in the box below.
The slope is ... because ...
y-intercept is ... becuase ...
The slope-intercept form is...
Answer:
Step-by-step explanation:
slope= (y1-y2)/(x1-x2) = (-4--1)/(-3-0) = -3/-3 = 1
y-intercept = y1 = -4
y=mx+b = y=1x-4
hope this helps!
help (fraction) problem :(
Answer:
it's 8 4/6 because you have to make the denominator all 6 so you would have to mutiply the bottom and do the same for the top keep the whole number the same and then add it all up you'll get 8 4/6
3 1/6 that is your answer you're welcome.2 1/3=[(2*3)+1]/3=7/3
7/3+5/6=(7*2)/(3*2) + 5/6=(14+5)/6=19/6.You simplify and you get 3 1/6