We are given with an equation in variable y and we need to solve for y . So , now let's start !!!
We are given with ;
[tex]{:\implies \quad \sf \dfrac{33}{2}+\dfrac{3y}{5}=\dfrac{7y}{10}+15}[/tex]
Take LCM on both sides :
[tex]{:\implies \quad \sf \dfrac{165+6y}{10}=\dfrac{7y+150}{10}}[/tex]
Multiplying both sides by 10 ;
[tex]{:\implies \quad \sf \cancel{10}\times \dfrac{165+6y}{\cancel{10}}=\cancel{10}\times \dfrac{7y+150}{\cancel{10}}}[/tex]
[tex]{:\implies \quad \sf 165+6y=7y+150}[/tex]
Can be further written as ;
[tex]{:\implies \quad \sf 7y+150=165+6y}[/tex]
Transposing 6y to LHS and 150 to RHS
[tex]{:\implies \quad \sf 7y-6y=165-150}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{y=15}}}[/tex]
Lynn was shopping and found a purse that was marked with a discount of [tex]\frac{1}{3}[/tex]off.” If the original cost of the purse was $80 , how much will Lynn pay?
Answer:
[tex] \frac{160}{3} [/tex]
Step-by-step explanation:
Step 1: A discount of
[tex] \frac{1}{3} [/tex]
means that the current price is two thirds of the original cost.
Step 2: The total cost is
[tex]80 \times \frac{2}{3} = \frac{160}{3} [/tex]
and the answer follows.
Solution:
Note that:
80 x (3/3 - 1/3) = Discounted costSimplify the expression.
80 x (3/3 - 1/3)=> 80 x (2/3)=> 160/3 = $53.33 = Discounted costLynn will pay $53.33.
tell me how to decompose 792
Answer:
break it down to prime factorization
so the ans will be 2^3 * 3^2 *11
Find the product.
a 413 a 22a + 1)
3 a
-2 a
+1a
Answer:
[tex]=13a^{437}+12a[/tex]
Step-by-step explanation:
[tex]\left(a^{413}a^{22}a+1\right)\cdot \:13a-2a+1\cdot \:a[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:-2a+1\cdot \:a=-a[/tex]
[tex]=\left(a^{413}a^{22}a+1\right)\cdot \:13a-a[/tex]
[tex]=\left(a^{436}+1\right)\cdot \:13a-a[/tex]
[tex]=13a\left(a^{436}+1\right)-a[/tex]
[tex]=13a^{437}+13a-a[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:13a-a=12a[/tex]
[tex]=13a^{437}+12a[/tex]
Cesser had $60. He spent $36.90 on a pair of shoes and the rest on a shirt. A) what percent of his money did he spend on his shoes? B) what percent of his money did he spend on the shirt?
36.9 / 60 = 61.5% on shoes and 38.5% on the shirt
Which of the following is an example of a rational function?
Answer:
the second one is an example of a rational function
Hurry please!
y = 3x +2
y = 3x - 3
These lines are..
A.Perpendicular
B.Neither
C.The same line
D.Parallel
Answer:
Neither
Step-by-step explanation:
To determine if two lines are parallel or perpendicular, you have to look at the slopes. For the line y=kx+b, k is the slope.
For two lines y=k1x+b1 and y=k2X+b2 ,When K1=K2, two lines are parallel; when K1=-1/k2, two lines are perpendicular. It doesn't matter whatever b1, b2 are. Hence to save time, you only need to calculate k1 and k2.
To calculate the slope k of any line, you have to change the equation to y=kx+b
For -y=3x-2, k=3/(-1)=-3 (you divide -1 on each side of =, but you don't need to calculate -2/(-1))
For -6X+2y=6, K=6/2=3 (you first move the -6x to right side, it becomes 6x, then divide by 2)
Now you can get the answer: The two lines neither parallel nor perpendicular
Answer:
D. Parallel
Step-by-step explanation:
When Graphed, These two equations bring up lines that are parallel to each other
what is the answer to 35r−21<−35r+19
Answer:
r < 4/7
Step-by-step explanation:
35r−21<−35r+19
35r + 35r < 19 + 21
70r < 40
r < 40/70 or r < 4/7
Find the volume of a pyramid with a square base, where the area of the base is 12. 4\text{ ft}^212. 4 ft 2 and the height of the pyramid is 5\text{ ft}5 ft.
Check the picture below.
[tex]\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3}~~ \begin{cases} B=\stackrel{base}{area}\\ h=height\\[-0.5em] \hrulefill\\ B=12.4\\ h=5 \end{cases}\implies V=\cfrac{(12.4)(5)}{3}\implies V=20.\overline{6}~ft^3[/tex]
please hellllllp i need to get these done
Answer:
56
Step-by-step explanation:
180 = Triangle total angle amount
180 - 68 = 112
112/2= 56
Have an amazing day!!
PLEASE RATE AND MARK BRAINLIEST!!!
I NEED HELP! I WILL GIVE BRAINLIEST
Answer:
As time increases, grams decrease
To describe the relationship between the two quantities, we first have to identify what those two quantities are.
Well, it says it right on the graph.
Our two quantities are time (the x value) and grams (the y value)
So, what is the relationship between the two quantities?
Well, let's first look at what each one is doing.
Well, time is increasing
Grams, however, are decreasing
So, the relationship is as follows:
As time increases, grams decrease
What is the value of v?
Answer: 43
Step-by-step explanation:
Calculate the area and perimeter of 4 cm and 6 cm
Answer:
Area: 24 Perimeter: 20
Step-by-step explanation:
Area (multiply side 1 by side 2):
4×6=24
Perimeter (add all of the sides together):
4+4=8
6+6=12
8+12=20
Help tysm SKjdnbhfredjnkasdnebh
Answer:
9 + 15 = 2424 × 3 = 72= 72Step-by-step explanation:
I'am a filipino/koreanBrainliestAnswer:
72 is the answer.Step-by-step explanation:
#BrainliestBunchIf a line goes through points (-2, 9) and (0, 3), what is its slope?
a. -1/3
b. -3
c. 3
d. 6
Answer:
b. -3
Step-by-step explanation:
slope = y2 - y1 / x2 - x1
= 3 - 9 / 0 + 2
= -6 / 2
= -3
Answer:
b
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 9 ) and (x₂, y₂ ) = (0, 3 )
m = [tex]\frac{3-9}{0-(-2)}[/tex] = [tex]\frac{-6}{0+2}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3
what is (−8.7)⋅(−10)?
Help………dndjrjrjrjrjrrhrhd
Aron flips a penny 9 times. Which expression represents the probability of getting exactly 3 heads?.
Answer:
1/3
Step-by-step explanation:
3/9 = 1/3
Find the measure of each angle
m∠A =
m∠B =
m∠BCA =
Before we solve for each angle, let's find the bottom left angle of the triangle.
We know that:
Straight line = 106 + xStraight line = 180This means that:
⇒ 106 + x = 180Step-by step calculations:
⇒ 106 + x = 180
⇒ 106 - 106 + x = 180 - 106
⇒ x = ∠BCA = 74°
Solving for y:We know that:
⇒ Sum of the interior angles of the triangle: 180°
This means that:
⇒ (74) + (3y + 22) + (4y) = 180
Step-by step calculations:
⇒ (74) + (3y + 22) + (4y) = 180
⇒ 96 + 7y = 180
⇒ 96 - 96 + 7y = 180 - 96
⇒ 7y = 84
⇒ 7y/7 = 84/7
⇒ y = 12
Finding the measure of each angle:Step-by step calculations:
⇒ ∠B = 3y + 22
⇒ ∠B = 3(12) + 22
⇒ ∠B = 36 + 22
⇒ ∠B = 58°
-------------------------------------
⇒ ∠A = 4y
⇒ ∠A = 4(12)
⇒ ∠A = 48°
hello can you help me with this question? 15 points
Which expression is equivalent to StartRoot 120 x EndRoot?.
Here for 120, the expression for the start root and end root is given
[tex]\sqrt{120} =2\sqrt{30}[/tex]
What will be the expression for start root and enroot of 120?Here we need to find [tex]\sqrt{120}[/tex]
By simplifying the given expression, we get:
[tex]120=2\times2\times2\times3\times5[/tex]
[tex]120=(2^{2} )\times3\times5[/tex]
by taking square roots on both sides we get
[tex]\sqrt{120} =2\sqrt{30}[/tex]
Thus for 120, the expression for the start root and end root is given [tex]\sqrt{120} =2\sqrt{30}[/tex]
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Answer:
2 square root 30x
Step-by-step explanation:
A on Edge
1. List all the ways that the graph of the parent function y = x^2 would be transformed to create the graph of the new function y = -(x – 1)^2 – 5
A. Translated right 1 and down 5 only
B. Translated right 1 and down 5, vertically stretched (thinner shape)
C. Translated right 1 and down 5, vertically shrunk (wider shape)
D. Translated right 1 and down 5, reflected (opens down)
To determine how the graph of the parent function [tex]y = x^2[/tex] is transformed to create the graph of the new function [tex]y = -(x – 1)^2 – 5[/tex], we need to analyze the individual transformations one by one Therefore the correct option is A.
1. Translation: (x – 1) This term inside the function represents a horizontal translation of the graph. When we subtract 1 from x, the entire graph is shifted to the right by 1 unit. Hence, this function is translated right 1 unit. 2. Reflection: (-) The negative sign outside the function reflects the graph across the x-axis. Thus, the graph opens downward.
3. Vertical Transformation: -5 The term -5 outside the function causes a vertical shift of the graph downward by 5 units. In summary, the graph of the new function [tex]y = -(x – 1)^2 – 5[/tex] undergoes the following transformations: - Translated right 1 unit due to (x – 1) - Reflected (opens downward) due to the negative sign - Translated down 5 units due to -5 Therefore, the correct answer is A. Translated right 1 and down 5 only
Hence the correct option is A
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A trapezoid has an area of 234.06 square feet. One base is 19.2 feet long. The other base is
9 feet long. What is the height?
Answer: Height = 16.6 ft
Step-by-step explanation:
The area of a trapezoid is (b1+b2)*h/2, where b1 and b2 are the bases and h is the height.
We can plug in the values given:
234.06 ft^2 = (19.2 ft + 9 ft)*h/2
We can multiply both sides by 2 and combine like terms:
468.12 ft^2 = 28.2 ft*h
Divide both sides by 28.2 ft:
Height = 16.6 ft
Simplify the expression, if possible. If the expression is already in simplified form, enter the given expression7x^3-x^2/2x^3
it depends on the original question. here are 2 ways to solve depends on the question
7x³ - x²/2x³
7x³ - 1/2x
but if the problem is
(7x³-x²)/(2x³)
[x²(7x-1)]/(2x³)
(7x-1) / (2x)
combine like terms 4(p+3)-8 i need the answer quick
Answer:
4p + 4
Step-by-step explanation:
Original expression:
4(p + 3) - 8
Apply the distributive law: a(b + c) = ab + ac
⇒ 4p + 12 - 8
Subtract 8 from 12:
⇒ 4p + 4
The coordinates of one endpoint of a line segment are (4, -12). The length of the segment is 5 units. Determine four coordinates that could serve as the other
endpoint of the given line segment
Answer:
Four coordinate pairs that could serve as the other endpoint of the given line segment are given by:
(9,-12)(-1,-12)(4,-7)(4,-17)Step-by-step explanation:
One endpoint of (4,-12), length of 5 units.
Four possible pairs:
Add 5 to x, keep y: (4+5,-12) = (9,-12).Subtract 5 from x, keep y: (4-5,-12) = (-1,-12).Keep x, add 5 to y: (4,-12+5) = (4,-7)Keep x, subtract 5 from y: (4,-12-5) = (4,-17)Four coordinate pairs that could serve as the other endpoint of the given line segment are given by: (9,-12), (-1,-12), (4,-7), (4,-17).Instructions: Find the length of the missing sides.
I WILL GIVE A BRAINIST !!
please explain how to do this
Answer:
y = 8sqr3,
x = 4sqr3
Step-by-step explanation:
Use SOH CAH TOA, to solve this.
Here I know the opposite, so I could use either SOH either TOA or both to find the 2 unknowns.
To find y, I would use SOH, which is Sin(angle) = opposite/hypotenuse.
When I rearrange it, I get opposite/Sin(angle) = hypotenuse.
Now let's fill in with the values to give:
12/sin(60) = 8sqr3
And then to find x, let's use TOA, which is Tan(angle) = opposite/adjacent.
Rearrange it to get opposite/Tan(angle) = adjacent. This gives us a side x with a value of:
12/tan(60) = 4sqr3
A radio station is giving away a total of Rs 124,000 in August on promotion. If they increase the amount given away each day by Rs 100.
(i) How much should they give away the first day?
(ii) How much have they give away on the 15th day ?
On the first day the company is giving Rs124, 000.
On the fifteenth day the company will give Rs 125400
The amount they wanted to give in august for promotion is Rs 124,000. They increased the amount each day by Rs 100.
Therefore, the sequence will be as follows;
124,000, 124,100, 124,200 .......
i.
The amount they will give on the first day is Rs124, 000
Arithmetic progression formulaaₙ = a + (n - 1)dii
The sequence is increasing by 100. Therefore,
common difference = 100
first term = 124, 000
Therefore,
a₁₅ = 124000 + (15 - 1)100
a₁₅ = 124000 + 1400
a₁₅ = 125400
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The New Horizons is an interplanetary space probe that approached the dwart planet Pluto in 2015. How many arc degrees of Pluto are visible to the New Horizons space probe while approaching the dwarf planet?
The value of angle x which is substended in the circle will be D. 342.6°.
How to calculate the circle?From the information given, it has been depicted that the value of the angle that's facing x is 17.4°.
Therefore, the value of x which is inscribed in the circle will be:
= 360° - 17.4°
= 342.6°
In conclusion, the correct option is 342.6°.
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the area of a square and square feet is represented by 4z^2 - 36z + 81. Find an expression for the perimeter of the square. Then find the perimeter when z=10 ft
Lin bought 1 pretzel from a snack cart for $4.80. There’s a 5% sales tax rate.
How much did Lin pay for the pretzel?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{5\% of 4.80}}{\left( \cfrac{5}{100} \right)4.80}\implies 0.24~\hfill \underset{\textit{price including tax}}{\stackrel{4.80~~ + ~~0.24}{5.04}}[/tex]