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Aliun [14]
2 years ago
7

In a class, 45 students are taking the SAT exam.The number of boys is 9 more than the number of girls.How many girls and boys ar

e in the classroom?
Write a system of equations and solve using any method.
Mathematics
1 answer:
maxonik [38]2 years ago
7 0
The equation would be
g + (g + 9) = 45
2g + 9 = 45
- 9
2g = 36
÷ 2
g = 18
18 + 9 = 27
Girls: 18
Boys: 27
Hope this helps! Let me know if you have any questions :)
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What values of x and y satisfy x − 3y = 4 and 2x + y = 7 simultaneously?
Gnom [1K]
We have:

x - 3y = 4

Pass -3y to the second member of equation

x = 4 + 3y

Now replace on the other equation tge value of x

2x + y = 7

2.(4 + 3y) + y = 7

Do the diatributive

2 ×4 + 2×3y + y = 7

8 +6y+y = 7

8 + 7y = 7

7y = 7 - 8

7y = - 1

y = -1/7

Now replace y = -1/7 in any equation

x = 4 + 3y

x = 4 + 3 . -1/7

x = 4 -3/7

x = (4×7 -3)/7

x = 25/7
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3 years ago
What side is adjacent to angle Y?<br> XZ<br> ZY<br> YX<br> None of the above
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2 years ago
Find the value of x Using parallel cut by the transversal (show your work)
V125BC [204]

Answer:In the following diagram, two parallel lines are cut by a transversal. What is the value of x x? Solution: The two angles 3x −15 3 x − 15 and 2x +7 2 x + 7 are equivalent. That is: 3x −15 = 2x +7 3 x − 15 = 2 x + 7

In the following diagram, two parallel lines are cut by a transversal. What is the value of x x? Solution: The two angles 3x −15 3 x − 15 and 2x +7 2 x + 7 are equivalent. That is: 3x −15 = 2x +7 3 x − 15 = 2 x + 7

Step-by-step explanation: : 3

5 0
1 year ago
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lbvjy [14]

Answer:

y = -6x + 2

Step-by-step explanation:

To find the slope, you do rise/run. To get to one point from another, you move one unit to the right, and six units down.

Now to find the y-intercept, you need to identify the point that meets in the y-axis. That would be 2.

Hope this helps!

4 0
3 years ago
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A random sample of 121 students from the University of Oklahoma had a sample mean ACT score of 23.4 with a sample standard devia
Grace [21]

Answer:

(22.74,24.06) is the required 95% confidence interval for the population mean ACT score of University of Oklahoma students.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 121

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Sample standard deviation = 3.65

Level of significance = 0.05

Degree of freedom

= n - 1 = 120

95% Confidence interval:  

\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}  

Calculation of critical value:

t_{critical}\text{ at degree of freedom 120 and}~\alpha_{0.05} = \pm 1.9799  

Putting the values, we get,  

23.4\pm 1.9799(\dfrac{3.65}{\sqrt{121}} )\\\\ = 23.4 \pm 0.6569\\\\ = (22.7431 ,24.0569)\approx (22.74,24.06)  

(22.74,24.06) is the required 95% confidence interval for the population mean ACT score of University of Oklahoma students.

5 0
3 years ago
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