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Likurg_2 [28]
3 years ago
11

Miss Chang ordered a pizza to share with some Grade 8 students. Miss Chang

Mathematics
1 answer:
Jlenok [28]3 years ago
8 0
Michael: x
Amy: 2x
Mr. Au: 3(2x+x)
x+2x+3(2x+x)=60
x+2x+3(3x)=60
x+2x+9x=60
12x=60
x=5
Michael: 5 slices
Amy: 2(x)
2(5)=10 slices
Mr. Au: 3(2x+x)
3(10+5)=45 slices
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Find the slope-intercept form of the equation of the line that passes through the point (5,1) and is perpendicular to the line 2
Vlad1618 [11]

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

Convert 2x + 5y = 10 to the slope0intercept form:

2x+5y=10        <em>subtract 2x from both sides</em>

5y=-2x+10       <em>divide both sides by 5</em>

y=-\dfrac{2}{5}x+2

Let k:y=m_1x+b_1 and l:y=m_2x+b_2

l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}

We have m_1=-\dfrac{2}{5}

Therefore

m_2=-\dfrac{-\frac{2}{5}}=\dfac{5}{2}

We have the equation of a line:

y=\dfrac{5}{2}x+b

Put the coordinates of the point (5, 1) to the equation of a line:

1=\dfrac{5}{2}(5)+b

1=\dfrac{25}{2}+b       <em>subtract \dfrac{25}{2} from both sides</em>

-\dfrac{23}{2}=b\to b=\dfrac{23}{2}

Answer: \boxed{y=\dfrac{5}{2}x+\dfrac{23}{2}}

4 0
3 years ago
Pls help fast<br><br> simply the complex fraction
Andrei [34K]

Answer:

10/11

Step-by-step explanation:

(8/11)/(4/5)

= (8/11) x (5/4)

= 40/44

= 10/11

8 0
3 years ago
Read 2 more answers
8. Shelley and Jim sold tickets to the basketball game. Good seats were $3 each and not so good seats cost
OverLord2011 [107]

Answer:

100 not so good seats

50 good seats

Step-by-step explanation:

Let x represent good seats and y represent not so good seats

[i] 3x + 2y = 350

[ii] x+y = 150

[iii] y = 150 - x

substitute this to equation [i]

3x + 2y = .350

3x + 2 (150-x ) = 350

3x + 300 - 2x = 350

3x-2x = 350 - 300

x = 50 good seats

now substitute what you got to equation [iii]

y = 150 - 50 = 100 not so good seats

when we check the answer by using equation [i] we find that it is correct:

3x + 2y = 350

3(50) + 2(100) = 350

150 + 200 = 350

350 = 350

3 0
3 years ago
The initial amount of people that are sick with the flu is 36 and growing at a rate of 8% every day.
Paraphin [41]
47 is the number of people that will be sick with the flu
5 0
3 years ago
Did do this right using PEMDAS <br><br> 8/2(2+2)<br> Solve: <br> 8/2(4)<br> 8/2*4<br> 8/8<br> =1
Arte-miy333 [17]

Answer:

nope its not. You should  count it like this  (8 / 2) * (2 + 2)

Step-by-step explanation:

(8 / 2) * (2 + 2)

4 * 4

16

8 0
4 years ago
Read 2 more answers
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