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andriy [413]
3 years ago
5

As part of a school contest, Sarah and Luis are playing a math game. Sarah must pick a number between 1 and 50 and give Luis clu

es so he can write an equation to find her number. Sarah says, "If i subtract 5 from my number, multiply that quantity by 4, and then add 7 to the result, i get 35." What equation can Luis write based on Sarah's clues and what is Sarah;s clues and what is is Sarah's number?
Mathematics
2 answers:
RSB [31]3 years ago
8 0
Simple, writing an equation,

(x-5)*4+7=35

multiply the 4 in

4x-20+7=35

4x-13=35

add 13 to the other side

4x-13=35
     +13  +13
4x=48

x=12.

The number is 12. But to check it, substitute the 12 into the equation.

(12-5)*4+7=35

(7)*4+7=35

28+7=35

35=35.

Thus, your answer is , the number is 12.
iren [92.7K]3 years ago
3 0
11 is the number because I subtracted 7 and 35 it was 28 then divided 28 and 4 which is 6 then added 6 and 5
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Nookie1986 [14]

Answer:

\large\boxed{y=\dfrac{1}{4}x^2-x-4}

Step-by-step explanation:

The equation of a parabola in vertex form:

y=a(x-h)^2+k

<em>(h, k)</em><em> - vertex</em>

The focus is

\left(h,\ k+\dfrac{1}{4a}\right)

We have the vertex (2, -5) and the focus (2, -4).

Calculate the value of <em>a</em> using k+\dfrac{1}{4a}

<em>k = -5</em>

-5+\dfrac{1}{4a}=-4        <em>add 5 to both sides</em>

\dfrac{1}{4a}=1           <em>multiply both sides by 4</em>

4\!\!\!\!\diagup^1\cdot\dfrac{1}{4\!\!\!\!\diagup_1a}=4

\dfrac{1}{a}=4\to a=\dfrac{1}{4}

Substitute

a=\dfrac{1}{4},\ h=2,\ k=-5

to the vertex form of an equation of a parabola:

y=\dfrac{1}{4}(x-2)^2-5

The standard form:

y=ax^2+bx+c

Convert using

(a-b)^2=a^2-2ab+b^2

y=\dfrac{1}{4}(x^2-2(x)(2)+2^2)-5\\\\y=\dfrac{1}{4}(x^2-4x+4)-5

<em>use the distributive property: a(b+c)=ab+ac</em>

y=\left(\dfrac{1}{4}\right)(x^2)+\left(\dfrac{1}{4}\right)(-4x)+\left(\dfrac{1}{4}\right)(4)-5\\\\y=\dfrac{1}{4}x^2-x+1-5\\\\y=\dfrac{1}{4}x^2-x-4

3 0
4 years ago
Find the area of the parallelogram.
Zolol [24]

Answer:

14.4 km²

Step-by-step explanation:

A=b

h=4.8·3

≈14.4

3 0
3 years ago
John is selling tickets to an event. Attendees can either buy a general admission ticket, x,
Masteriza [31]

John sold 18 general admission tickets and 11 VIP tickets.

Step-by-step explanation:

Given,

Cost of each general admission = $50

Cost of each VIP ticket = $55

Total tickets sold = 29

Total revenue generated = $1505

Let,

x represent the number of general admission tickets sold

y represent the number of VIP tickets.

x+y=29     Eqn 1

50x+55y=1505   Eqn 2

Multiplying Eqn 1 by 50

50(x+y=29)\\50x+50y=1450\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(50x+55y)-(50x+50y)=1505-1450\\50x+55y-50x-50y=55\\5y=55

Dividing both sides by 5

\frac{5y}{5}=\frac{55}{5}\\y=11

Putting y=11 in Eqn 1

x+11=29\\x=19-11\\x=18

John sold 18 general admission tickets and 11 VIP tickets.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/1232765
  • brainly.com/question/1234767

#LearnwithBrainly

5 0
3 years ago
Hey:) can you please help me posted picture of question
Kryger [21]
To expand the given expression we proceed as follows:
(6x²-2x-6)(8x²+7x+8)
=6x²(8x²+7x+8)-2x(8x²+7x+8)-6(8x²+7x+8)
=48x⁴+42x³+48x²-16x³-14x²-16x-48x²-42x-48
putting like terms together:
48x⁴+(42x³-16x³)+(48x²-48x²)+(-16x-42x)-48
=48x⁴+26x³+0x²-58x-48
hence the answer is:
48x⁴+26x³-58x-48
6 0
4 years ago
What does x and y =??????
Kazeer [188]

Answer:

x=30. y=60

Step-by-step explanation:

DG is a straight segment so it sums to 180 degrees. ECG is a right angle so 90 degrees. The rest is described as 2x and x. So 3x=90 degrees. x=30. Eh is also a straight segment. since we know x, we know that ECD is 60 degrees. So y+y=120 degrees. 2y=120. y=60.

6 0
3 years ago
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