MATHEMATICS HIGH SCHOOL

Solve the system of equations. 3x = ­-31 + 2y
5x + 6y = 23

a. x = ­-5, y = 8
b. x = ­- 29, y = ­- 28
c.no solution
d.infinite solutions

Answers

Answer 1
Answer:

Answer:

a. x = -5, y = 8

Step-by-step explanation:

\left\{\begin{array}{ccc}3x=-31+2y&\text{subtract}\ 2y\ \text{from both sides}\n5x+6y=23\end{array}\right\n\n\left\{\begin{array}{ccc}3x-2y=-31&\text{multiply both sides by 3}\n5x+6y=23\end{array}\right\n\n\underline{+\left\{\begin{array}{ccc}9x-6y=-93\n5x+6y=23\end{array}\right}\qquad\text{add both sides of the equations}\n.\qquad14x=-70\qquad\text{divide both sides by 14}\n.\qquad x=-5\n\n\text{Put it to the second equation:}\n\n5(-5)+6y=23\n-25+6y=23\qquad\text{add 25 to both sides}\n6y=48\qquad\text{divide both sides by 6}\ny=8

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Evaluate the expression when a = –1.4 and b = –2.7. |a| + b A.–1.3 B.–4.1 C.4.1 D.1.3

Answers

Answer:

Step-by-step explanation:

|-1.4| + (-2.7) = 1.4 - 2.7 = -1.3 is the solution

In a plane, if one of two parallel lines is _____ to another line, the other of the two lines is perpendicular to that line.a. congruent
b. perpendicular
c. parallel
d. equal

Answers

Answer: Hello mate!

the phrase is:

"In a plane, if one of two parallel lines is _____ to another line, the other of the two lines is perpendicular to that line."

the angle between two parallel lines is equal to zero.

if one of the parallel lines is perpendicular to a third line, this means that the angle formed by bot lines is equal to 90°.

And because the second parallel line has an angle of 0° with respect of the first one, then the angle formed with the third line is also 0° + 90° = 90°, so is also perpendicular.

Then the answer is "perpendicular".

Answer:

B. perpendicular

Step-by-step explanation:

Hope this helps.

Express the indicated likelihood  as a probability values between 0 and 1.question: Ben Franklin said that death is a certainty of life

Answers

That would be probability 1.

What is 14x - 13 = 9x + 1

Answers

14x - 13 = 9x + 1
- 9x         - 9x
  5x - 13 = 1
      + 13 + 13
         5x = 14
          5      5
           x = 2.8

a baker is calculating the charge for two types of cookies. what formula tells the cost, in dollars, if chocolate chip cookies are $2.00/dozen and lemon frosteds are $1.50/dozen? let c=number of dozens of chocolate chip cookies; l=number of dozens of lemon frosteds; t =total charge. A. T=3.50(L+c) B. T=200c+150L C. T=2.00c+1.50L D. T=1.50c+2.00L

Answers

If you would like to find the formula that tells the cost in dollars, you can calculate this using the following steps:

c ... number of dozens of chocolate chip cookies
l ... number of dozens of lemon frosteds
t ... total charge
t = c * $2.00 + l * $1.50
t = 2.00 * c + 1.50 * l

The correct result would be C. T=2.00c+1.50L.

Answer:

Option C is correct

T= 2.00c+1.50l

Step-by-step explanation:

Given the statement:  

A baker is calculating the charge for two types of cookies.

Here,

c =the number of dozens of chocolate chip cookies,

l=number of dozens of lemon frosteds and  

T =total charge in dollars.

If chocolate chip cookies are $2.00/dozen

then;

Cost of chocolate chip cookies in c dozen = $ 2c

It is also given that:

lemon frosted are $1.50/dozen

then;

Cost of lemon frosted in l dozen = $ 1.50 l

Then total charge(T) in dollars for this problem is given by:

T= 2.00c+1.50l

Therefore, the formula tells the cost, in dollars is,

T= 2.00c+1.50l

If j, k, and n are consecutive integers such that 0 < j < k < n and the units (ones) digits of the product jn is 9, what is the units digits of k?

Answers

All of those numbers have nothing but ones digits, that is, they're all single digits. j=4, k=5, and n=6.
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