MATHEMATICS HIGH SCHOOL

What is the ordered pair solution for;
x + 2y = 5

3x - y = 1

Answers

Answer 1
Answer: \left\{\begin{array}{ccc}x+2y=5\n3x-y=1&/\cdot2\end{array}\right\n+\left\{\begin{array}{ccc}x+2y=5\n6x-2y=2\end{array}\right\n-----------\n. \ \ \ \ \ \ \ 7x=7\ \ \ \ /:7\n.\ \ \ \ \ \ \ x=1\n\n\left\{\begin{array}{ccc}x=1\n3x-y=1\end{array}\right\n\left\{\begin{array}{ccc}x=1\n3\cdot1-y=1\end{array}\right\n\left\{\begin{array}{ccc}x=1\n3-y=1\end{array}\right\n\left\{\begin{array}{ccc}x=1\n-y=1-3\end{array}\n\left\{\begin{array}{ccc}x=1\n-y=-2\end{array}\right\n\right
\left\{\begin{array}{ccc}x=1\ny=2\end{array}\right\n

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Y = 3x + 10
y = -7x - 20

Answers

Answer:

x = -3

Step-by-step explanation:

3x + 10 = -7x -20

3x + 7x = -20 -10

10x = -30 /: (10)

x = -3

The sum of the measures of the interior angles of a polygon is 2880°. How many sides does the polygon have?14
16
18
20

Answers

Let

S------> The sum of the measures of the interior angles of a polygon

n-------> number of sides of a polygon

we know that

The formula to find the sum of the measures of the interior angles of a polygon is equal to

S=(n-2)*180°

in this problem

S=2880°

Solve for n

S=(n-2)*180\n \n n=(S)/(180)+2\n \n n=(2880)/(180)+2\n \n n=16+2\n \n n=18\ sides

therefore

the answer is

18\ sides
there are 18 sides.....

If triangle STU is similar to triangle VWX, which statement is true about the two triangles?A. Segment ST is congruent to segment VW, and angles U and X are proportional.

B. Segment TU is proportional to segment WX, and angles S and V are proportional

C. segment ST is congruent to segment VW, and angles U and X are congruent.

D. segment TU is proportional to segment WX, and angles S and V are congruent.

Answers

B. Segment TU is proportional to segment WX, and angles S and V are proportional

Answer:B. Segment TU is proportional to segment WX, and angles S and V are proportional

Step-by-step explanation:

Out of 32 students in a class, 5 said they ride their bikes to school. based on these results,how many of 800 students in the school ride threr bikes to school?

Answers

Do a proportion.
5/32= x/800
Cross multiply and divide
800 x 5= 4,000
4,000 divided by 32= 125
So answer is 125 students

The formula below gives D, the demand for concert tickets when the price of each ticket is P dollars. D(p)=2000-4p-p^2
What's the value if D(15)

Answers

D(15)=1715
D(15)=2000-4(15)-15^2
You do this because p=15 and you know this because 15 is inside the parentheses by d (D(p)) 

A student skipped a step when she tried to convert 18 hours into seconds, and she got the following incorrect result:18 hours (60 seconds/ 1 minute) = 1080 seconds

What conversion ratio did she skip in this multiple-step conversion?

A. 60 seconds/ 1 minute

B. 1 minute/ 60 seconds

C. 1 hour/ 60 minutes

D. 60 minutes/ 1 hour

Answers

Answer:

The conversion ratio that student skipped was:

D. (60 minutes/1 hour)

Step-by-step explanation:

We have to convert 18 hours into seconds

We know that there are 60 seconds in a minute and 60 minutes in an hour.

So, 1 hour= 60×60 seconds

 18 hour= 18×60×60 seconds

In the question student converted 1 minute into 60 seconds but forgot to convert 1 hour into 60 minutes

Hence, the conversion ratio that student skipped was:

D. (60 minutes/1 hour)

Answer: 60 minutes/1 hour

Step-by-step explanation: took the quiz
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