Answers
Answer:
Y equals -1/5
Answer:
y = -0.2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
[tex]\frac{3.6}{0.2(6y + 1)} =\frac{9}{0.5y}[/tex]
Step 2: Solve for y
Distribute 0.2: [tex]\frac{3.6}{1.2y + 0.2} =\frac{9}{0.5y}[/tex]Cross-multiply: [tex]9(1.2y + 0.2) =3.6(0.5y)}[/tex]Distribute: [tex]10.8y + 1.8 =1.8y[/tex]Subtract 1.8y on both sides: [tex]9y + 1.8 =0[/tex]Subtract 1.8 on both sides: [tex]9y = -1.8[/tex]Divide both sides by 9: [tex]y = -0.2[/tex]Step 3: Check
Plug in y to verify it's a solution.
Substitute: [tex]\frac{3.6}{0.2(6(-0.2) + 1)} =\frac{9}{0.5(-0.2)}[/tex]Multiply: [tex]\frac{3.6}{0.2(-1.2 + 1)} =\frac{9}{-0.1}[/tex]Add: [tex]\frac{3.6}{0.2(-0.2)} =\frac{9}{-0.1}[/tex]Multiply: [tex]\frac{3.6}{-0.04} =\frac{9}{-0.1}[/tex]Divide: [tex]-90=-90[/tex]Here we see that -90 does indeed equal -90. ∴ y = -0.2 is indeed a solution of the equation.
Related Questions
The Statue of Liberty is about 300 feet tall and about 30 feet wide. The town of Unionville is building a smaller model for their Fourth of July celebration. Unionville's statue will be 3 feet wide. How tall should Unionville's statue be?
Answers
A restaurant offered cooking classes on 24 of the 30 days in November. What decimal is equivalent to the fraction of the days in November that classes were offered at the restaurant?
Answers
Answer:
0.8% or 80%
Step-by-step explanation:
24/30 is equivalent to 80/100
80/100 as a decimal is 80%
hope this helps :3
if it did pls mark brainliest
What is five million four thousand three hundred in standard form
Answers
Answer:
5004300
Step-by-step explanation:
5.004300 this is the answer because it just is
Athena is playing a game with bianca silver chip are worth 4 point and gold chip are worth 7 point she has 4 gold and 7 silver chip how many point the athena have
Answers
Answer:
56 points
Step-by-step explanation:
Given that:
Worth of sliver chip = 4 points
Worth of gold chip = 7 points
If Athena has 4 gold and 7 silver chips ;
Number of points will be ;
(Number of gold * worth of gold Chip) + (number of silver * worth of silver chip)
(4 * 7) + (7 * 4)
28 + 28 = 56 points
Hence, Athena will have 56 points.
please help asap!!! i’ll mark you brainlest
Answers
Answer:
False
Step-by-step explanation:
First, simplify 6/12, which then equals 1/2
1/6 is not equal to 1/2
So, the answer is false
I don’t know how to write this the way it’s supposed to be written but I hope U understand it Y^5/y^2
Answers
Answer:
is 14 sorry if i am wrong
Step-by-step explanation:
PLEASE HELP ME !! The data set (8,4,3,4,2,5,8,10,6,3) represents the number of points scored by a player in a game,
which class interval will be the highest in a frequency histogram?
A.6-8
B.0-2
C.9-11
2.3-5
Answers
An airplane 40,000 feet above the ground begins descending at a rate of 1,500 feet per minute. Write an equation to model the situtation.
Answers
Answer:
h(t) = 40,000 - 1,500t
Step-by-step explanation:
Let h(t) be the height of the airplane after t minutes.
h(t) = 40,000 - 1,500t
Yolanda is planning to put a pool in her backyard. The scaled model below gives the reduced measures for diameter and depth. The diameter of a pool is 18 centimeters and the depth is 4 centimeters. Not drawn to scale The yard space is large enough to have a pool that has a diameter of 27 feet. If Yolanda wants to keep the pool in proportion to the model, what will be the depth of the pool?
Answers
Answer: 6 feet
Step-by-step explanation:
You can use the ratio of the depth to the diameter of the pool in the scale to find out the depth in the yard given the diameter in the yard.
The ratio of the depth to the diameter is;
= 4/18
Given a diameter of 27 feet in the yard, the depth in the yard will be;
= 4/18 * 27
= 6 feet
Answer:
6ft
Step-by-step explanation:
When solving the problem 4 + 36 / 2 - 3^2, Kerry got the answer 13 and Katie got the
answer 11, Which student got the correct answer? What did the student who got the
incorrect answer do wrong?
Answers
What is that y intercept? Can someone please explain to me how to do this and how you got the answer.
Answers
what is y=3x+6 y=4x i need some help on it
Answers
Answer:
I don't fully understand, but if it is a true or false question it is false
Step-by-step explanation:
If y=4x 3x+6=9
4<9
So, in all it would be false.
Need Help Fast plsss
Answers
Answer:
The answer should be B.) 2yw+y-1
Step-by-step explanation:
For this equation you:
multiply both sides by y Add -2 by both sides.Divide both sides by 2.A ball is dropped from the top of the Washington Monument which is 555 feet high.
a) How long will it take for the ball to hit the ground?
b) Find the ball's speed at impact.
this is calculus terms, not physics.
Answers
Answer:
Time taken t = 5.88 sec (Approx)
Final velocity v = 188.46 ft/s (Approx)
Step-by-step explanation:
Given:
Height h = 555 ft
Initial velocity u = 0 ft/s
Gravitational acceleration g = 32 ft/s²
Computation:
h = ut + 1/2(gt²)
555 = 1/2(30)(t²)
Time taken t = 5.88 sec (Approx)
Final velocity v = u + at
Final velocity v = (32)(5.88)
Final velocity v = 188.46 ft/s (Approx)
Can y’all help me for this test I don’t get it
Answers
Answer:
$2.25 per ganola Bar
Step-by-step explanation:
Cost of 4 Bars = $ 9
Cost of 1 Bar = 9/4=2.25
Answer:
The constant of proportionally is 2.25$
Step-by-step explanation:
All you have to do is 9/4=2.25$
Hope this helps!!
A. 3 (x + 2) = 18
B. x + 2 = 6
1) How can we get Equation B from Equation A?
Choose 1 answer:
(Choice A) Add/subtract the same quantity to/from both sides
(Choice B) Add/subtract a quantity to/from only one side
(Choice C) Multiply/divide both sides by the same non-zero constant
(Choice D) Multiply/divide only one side by a non-zero constant
Answers
Answer:
c
Step-by-step explanation:
Can -8 8/15 be simplified? (Answer with yes or no) if it can what number would it be simplified?
Answers
Answer:
no
Step-by-step explanation:
it stays the same ok
Decimal form - 8.5353...
Mixed number form - 8 8/15
I highly recommend u Math-way
A cuboid hos dimensions of 2 m x 90 cm x 140 cm.
It has a density of 0.8kg/m2
Find the mass of the cuboid.
Answers
2.52 * 0.8 = 2.016kg
Therefore the mass is 2.016kg
A 16 oz. latte costs $3.75. If they are sold at the same rate, how much would a 24 oz. latte cost? Round to the nearest tenth.
Answers
Answer:5.62
Step-by-step explanation:
You have 110 inches of yellow ribbon. The diameter of the old Oak tree is 38 inches. Do you have enough yellow ribbon to wrap around the old oak tree? Explain why. (20 points best answer gets 40)
Answers
Answer:
I believe that you will not have enough ribbon to wrap the entire tree.
Step-by-step explanation:
You will not have enough ribbon because the circumference of the tree is 119.38, more than the ribbon’s length. Therefore, it is impossible to wrap the entire tree in the ribbon.
#learnwithbrainly
Find the solution to the following quadratic
8x^2 + 7x - 2 = 10x – 4 + x2
Answers
Answer x=3± i√ 47/14
Step-by-step explanation:
use math away its helpful
Which pair of expressions are equivalent?
3v + 5 - 9v + 2 and negative 6v + 6
Negative 6n + 3 - 2n + 2 and negative 8 n + 6
Negative 4n + 8 + 9n - 2 and 5n + 6
10n - 5 - 2n + 3 and 5n - 2
whoever answers this gets 50pts pls hurry!!!!!!!!
Answers
please help!!???????
Answers
Answer:
a)
table:
[tex]\begin{array}{ccccc}&2&3&4\\0&2&3&4\\1&3&4&5\\2&4&5&6\\3&5&6&7\end{array}[/tex]
b) Count the number of occurrances:
i: There are 3 fours in the table of 12 outcomes, so the probability is 3/12 = 1/4
ii: There are 9 outcomes less than six in the table of 12 outcomes, so the probability is 9/12 = 3/4
iii: There are 3 outcomes of 6 or more in the table of 12 outcomes, so the probability is 3/12 = 1/4
Jose unlocks his cellphone by placing his right thumb on a square of 1 centimeter by 1 centimeter at the center of the screen. Upon recognizing his thumbprint, the square expands outward. The cellphone unlocks when the perimeter reaches 32 centimeters, taking a total of 2.5 seconds. What is the perimeter of the square after 1.5 seconds? 16.8 centimeters 19.2 centimeters 20.8 centimeters 29.2 centimeters
Answers
Answer:
Step-by-step explanation:
We can solve this question using proportion
Perimeter of the square/Time is takes to unlock
We are told in the question that:
The cellphone unlocks when the perimeter reaches 32 centimeters, taking a total of 2.5 seconds.
Hence, the perimeter of the square after 1.5 seconds is:.x = unknown
32/2.5 = x/1.5
Cross Multiply
2.5x = 32 × 1.5
x = 32 × 1.5/2.5
x = 19.2 centimeters
what does 3x^2+8x-10 equal?
Answers
Answer:
0.927
Step-by-step explanation:
just plug it in to a algebraric calculator!
0.927
Hi. I need help with these questions.
See image for question.
Answer 20 and 21
Answers
Answer:
20. The vertex is (2/3, 14/3) | p = 3, q = -2/3 and r = 14/321. 20x² + 2x - 3 = 0Step-by-step explanation:
20.
Giveny = 3x² - 4x + 6To findThe least value of the y and the corresponding value of xConstants p, q and r such that 3x² - 4x + 6 = p(x + q)² + rSolutionThe given is the parabola with positive a coefficient, so it opens up and the minimum point its vertex.
The vertex has x = -b/2a and corresponding y- coordinate is found below:
x = - (- 4)/2*3 = 2/3, and y = 3(2/3)² - 4(2/3) + 6 = 4/3 - 8/3 + 6 = 14/3So the vertex is (2/3, 14/3)The vertex form of the line has the equation:
y = a(x - h)² + k, where (h, k) is the vertexPlugging in the values:
y = 3(x - 2/3)² + 14/3Comparing with p(x + q)² + r, to find out that:
p = 3, q = -2/3 and r = 14/3=====================================
21.
(i) α and β are the roots of: ax² + bx + c = 0
Show that:
α + β = -b/a and αβ = c/aSolutionKnowing the roots, put the equation as:
(x - α)(x - β) = 0x² - αx - βx + αβ = 0x² - (α+β)x + αβ = 0Comparing this with the standard form:
ax² + bx + c = 0Divide by a to make the constants of x² same:
x² + b/ax + c/a = 0Now comparing the constants:
- (α+β) = b/a ⇒ α+β = - b/aαβ = c/a--------------------------------------------
(ii)
Givenα and β are the roots of: 3x² - x - 5 = 0To Find The equation with roots 1/2α and 1/2βSolutionThe sum and the product of the roots:
α + β = -b/a = 1/3αβ = c/a = -5/3The equation is:
(x - 1/2α)(x - 1/2β) = 0x² - (1/2α + 1/2β)x + 1/(2α)(2β) = 0x² - (α + β)/(2αβ)x + 1/4αβ = 0x² - (1/3)/(2(-5/3))x + 1/(4(-5/3)) = 0x² + 1/10x - 3/20 = 020x² + 2x - 3 = 0Write the quadratic equation in standard form: x^2+x=-4x^2+16
Answers
Answer
-3[tex]x^{2}[/tex] +[tex]x[/tex]+16=0
Step-by-step explanation:
What is the missing term in the trinomial expression below?
(2x+2)(7x+8)=14x2+_______+16
A. 14x
B. 30x
C. 9x
D. 5x
Answers
Answer:
14 i hope this leads you into the good
given an=-6n+5 find term 17 in the arthimetic sequence
Answers
Answer:
107
Step-by-step explanation:
In a city in Ohio, the sales tax rate is 5.75%. If the price of a book is $7, what is the total cost of the book including tax?
Answers
Answer:
Step-by-step explanation: