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Fofino [41]
3 years ago
8

school X and school Y play each other in a competition. School X has eight more points that school Y . School X has three times

as many points as school Y. How many points does each school have?
Mathematics
2 answers:
murzikaleks [220]3 years ago
7 0
<span>-----------------------------------
Define x and y :
</span>-----------------------------------
<span>Let x be the points school x scored.
Let y be the points school y scored.

</span>-----------------------------------
<span>Construct equations :
</span>-----------------------------------<span>
School X has eight more points that school Y
x = y + 8

</span><span>School X has three times as many points as school Y.
x = 3y

</span>-----------------------------------
Solve for x and y :
-----------------------------------
x = y + 8 ------------------ (1)
x = 3y     ------------------ (2)
<span>
Sub (2) into (1)

3y = y + 8
2y = 8
y = 4

</span>-----------------------------------
<span>Find school x and y :
</span>-----------------------------------<span>
School y has 4 points.
School x has 4x3= 12 points

</span>---------------------------------------------------------------------------------------------------------
Answer: School x has 12 points and school y has 4 points.
---------------------------------------------------------------------------------------------------------
Alja [10]3 years ago
5 0
Y = 4
x = 12
Why: 4 x 3 = 12
4 + 8 = 12
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Nadya [2.5K]

Answer:

O.186 or 18.6%

Step-by-step explanation:

Let s = event of schizophrenia

B = brain atrophy

From our question we have:

P(s) = probability of those suffering from schizophrenia = 1.5% = 0.015

P(B|S) = probability of brain atrophy = 30% = 0.30

P(S') = 1 - 0.015 = 0.985

P(B|S') = 2% = 0.02

Probability Hinckley suffered from schizophrenia

= P(S|B) = P(B|S)P(S)/P(B|S)P(S)+P(B|S')P(S')

= (0.30x0.015)/(0.30)*(0.015)+(0.02)(0.985)

= 0.0045/0.0045+0.0197

= 0.0045/0.0242

= 0.185950

This is approximately 0.186 or 18.6%

4 0
3 years ago
What is 8 5/18 - 3 3/18
tatiyna
It is 5 1/9 after being simplified
5 0
2 years ago
Read 2 more answers
Estimate the integral ∫6,0 x^2dx by the midpoint estimate, n = 6
Anettt [7]
Splitting up the interval [0, 6] into 6 subintervals means we have

[0,1]\cup[1,2]\cup[2,3]\cup\cdots\cup[5,6]

and the respective midpoints are \dfrac12,\dfrac32,\dfrac52,\ldots,\dfrac{11}2. We can write these sequentially as {x_i}^*=\dfrac{2i+1}2 where 0\le i\le5.

So the integral is approximately

\displaystyle\int_0^6x^2\,\mathrm dx\approx\sum_{i=0}^5({x_i}^*)^2\Delta x_i=\frac{6-0}6\sum_{i=0}^5({x_i}^*)^2=\sum_{i=0}^5\left(\frac{2i+1}2\right)^2

Recall that

\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6
\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2
\displaystyle\sum_{i=1}^n1=n

so our sum becomes

\displaystyle\sum_{i=0}^5\left(\frac{2i+1}2\right)^2=\sum_{i=0}^5\left(i^2+i+\frac14\right)
=\displaystyle\frac{5(6)(11)}6+\frac{5(6)}2+\frac54=\frac{143}2

8 0
2 years ago
Denis let go of a penny at the top of a well and the penny fell straight down to the bottom of the well the top of the well was
Furkat [3]

Answer:

The distance between the top of the well and the bottom of the well was 12 1/2

Step-by-step explanation:

(a.k.a B) i did it and got it right :)

8 0
2 years ago
Andrew must spend less than 53$ on meals during the weekend. he has already spent 21$ on meals costing 8$ average. how many addi
Shkiper50 [21]

Andrew can buy maximum 3 meals this weekend.

From given question,

Andrew must spend less than 53$ on meals during the weekend.

He has already spent 21$ on meals costing 8$ average.

Let x, the number of meals

So, we get an inequality,

8x + 21 < 53

We need to find the number of meals he can buy this weekend.

From above inequality,

⇒ 8x + 21 < 53

⇒ 8x < 53 - 21

⇒ 8x < 32

⇒ x < 4

This means, from 1 to 3 meals.

Therefore, Andrew can buy maximum 3 meals this weekend.

Learn more about an inequality here:

brainly.com/question/19003099

#SPJ4

3 0
1 year ago
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