Solve the system:
2x-5y=7
3x-2y=-17

Answers

Answer 1

Answer: $\begin{cases}2x-5y=7 \ \ /*3 \n 3x-2y=-17\ \ / *(-2) \end{cases}\n \n\begin{cases}6x-15y=21 \n -6x+4y= 34 \end{cases}\n+ \ ------- \n-11y=55 \ \ / :(-11)\n \ny=-(55)/(11)$

$y=-5 \n \n 2x-5y=7\n \n2x-5*(-5)=7\n \n2x+25=7\n \n2x=7-25$

$2x=-18\ \ /:2 \n \n x=-(18)/(2) \n \nx=-9 \n \n\begin{cases} x=-9 \n y=-5 \end{cases}$

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Mrs. Quotient asked her students to simplify each of the expressions below. Which of the numbered choices represents the expressions which simplified to the same result? A 71 B 72 C 73

Answers

Answer:

A and B

Step-by-step explanation:

Mrs. Quotient asked her students to simplify each of the expressions below. Which of the numbered choices represents the expressions which simplified to the same result? A 126/2 B 23 × 3 C 3 × 21

When simplifying an algebraic expression, the following steps are needed to be taken.

Firstly, remove parenthesis by multiplying the constant with the term in the parenthesis or remove parenthesis using exponent rules for parenthesis in exponent form.

Secondly Combine terms by adding coefficients of terms with the same order and lastly sum all constant.

A) 126/2

Applying the division rule give:

126/2 = 63

B) 23 × 3

Applying multiplication rule gives:

23 × 3 = 69

C) 3 × 21

Applying multiplication rule gives:

3 × 21 = 63

Both the results of expression A and expression B are simplified to the same result

Cheryl went on a 3-hour train ride. The train traveled at an average speed of 75 miles per hour. What was the total distance in miles that Cheryl traveled?A)225
B)215
C)25
D)72

Answers

Hello,

d=v*t=75*3 =225 (mi)

Answer A

The reciprocal of an integer plus the reciprocal of two times the integer plus two equals 2/3 Find the integer.

Answers

$(1)/(x) + (1)/(2x+2)= (2)/(3)\ /\cdot 3x(2x+2) \ \ \ \wedge\ \ \ x \neq 0\ \ \wedge\ \ 2x+2 \neq 0\n \n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x\in R-\{0;-1\}\n \n (1)/(x)\cdot 3x(2x+2) + (1)/(2x+2)\cdot 3x(2x+2)= (2)/(3)\cdot 3x(2x+2)\n \n3(2x+2)+3x=2x(2x+2)\n \n6x+6+3x=4x^2+4x\n \n-4x^2+9x-4x+6=0\n \n-4x^2+5x+6=0\ \ \ \Rightarrow\ \ \Delta=5^2-4\cdot(-4)\cdot6=25+96=121\n \n$

$x_1= (-5- √(121) )/(2\cdot (-4))= (-5-11)/(-8) = (-16)/(-8) =2\ \ \ is\ integer\n \nx_2= (-5+ √(121) )/(2\cdot (-4))= (-5+11)/(-8) = (6)/(-8) =- (3)/(4) \ \ \ is\ not\ the\ integer$

Which measure is the same as the standard error of the mean?

Answers

standard deviation I'd say

jim and holly are making gingerbread men. It takes them both 2 minutes to make 2 gingerbread shapes. At this rate, how many people are needed to make 400 gingerbread men in 400 minutes

Answers

The answer to your question is 400 men.
Hope it helps!

If the largest angle of a triangle is 120 degrees and it is included between sides of 1.5 and 0.5, what is the largest side of the triangle to the nearest tenth?