1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ddd [48]
3 years ago
5

Kareem cannot decide which of two washing machines to buy. The selling price of each is 660​$. The first is marked down by 40​%.

The second is marked down by 20​% with an additional ​30% off. Find the sale price of each washing machine. Use pencil and paper. Explain why should buy the first washing machine rather than the second if the machines are the same except for the selling price.
PLS HELP ME
Mathematics
1 answer:
natka813 [3]3 years ago
6 0

Answer:

See explanation

Step-by-step explanation:

The selling price is ​$495.

The first washing machine:

- is marked down by 30​%

$495 - 100%

$x - 100% - 30% = 70%

Find the value of x:

The second washing machine:

- is marked down by 20​% with an additional 10​% off

$495 - 100%

$y - 100% - 20% = 80%

Find y:

y=$495 . 0.8 = $396

Now,

$396 - 100%

$z - 100% - 10% = 90%

Find z:

z=$396.0.9  = $356.40  = $356

Thus, the sale price of the first washing machine is $347 and the sale price of the second washing machine is $356. The second machine is more expensive.

You might be interested in
Which expression finds the measure of an angle that is coterminal with a 300° angle?
icang [17]
The expression that gives an angle that is coterminal with 300 is 300-720. Two angles are said to be coterminal if when they are drawn in a standard position, their terminal sides are on the same location. The expression gives an angle of 420 where when it is drawn the terminal sides are on the same location with the 300.

Someone asked the same question here before, check it out

3 0
3 years ago
Read 2 more answers
Use Cramer Rule to solve the following system: 8x−5y=70 and 9x+7y=3
nlexa [21]

Answer:

(x,y) = (5,-6)

Step-by-step explanation:

\underline{\textbf{Determinant of a matrix.}}\\\\\text{For a}~ 2 \times 2 ~ \text{matrix,}\\\\\begin{vmatrix} a_1&a_2\\b_1&b_2 \end{vmatrix} = a_1b_2 - a_2b_1\\\\\\\text{For a}~ 3 \times 3 ~ \text{matrix,}\\\\\begin{vmatrix} a_1&a_2&a_3\\ b_1&b_2&b_3\\ c_1&c_2&c_3 \end{vmatrix} = a_1\begin{vmatrix} b_2&b_3\\c_2&c_3 \end{vmatrix} - a_2 \begin{vmatrix} b_1&b_3\\c_1&c_3 \end{vmatrix}+ a_3 \begin{vmatrix} b_1&b_2\\c_1&c_2 \end{vmatrix}\\\\\\

                     ~~~~~~~~~~~~~~~~~~=a_1(b_2c_3-b_3c_2) -a_2(b_1c_3-b_3c_1) +a_3(b_1c_2-b_2c_1)

\underline{\textbf{Cramer's Rule to solve a system of two equations.}}\\\\\text{Consider the system of two equations:}\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~a_1x + b_1 y= c_1\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~a_2x +b_2 y = c_2\\\\\text{Here,}\\\\x = \dfrac{D_x}{D}= \dfrac{\begin{vmatrix} c_1&b_1\\c_2&b_2 \end{vmatrix}}{\begin{vmatrix} a_1&b_1\\a_2&b_2 \end{vmatrix}}\\\\\\ y= \dfrac{D_y}{D}= \dfrac{\begin{vmatrix} a_1&c_1\\a_2&c_2 \end{vmatrix}}{\begin{vmatrix} a_1&b_1\\a_2&b_2 \end{vmatrix}}\\\\

\underline{\textbf{Solution:}}\\\\~~~~~~~~~~~~~~~~~~~~~~~8x-5y = 70~~~~~~...(i)\\\\~~~~~~~~~~~~~~~~~~~~~~~9x +7y = 3~~~~~~~...(ii)\\\\\text{Applying Cramer's rule:}\\\\x = \dfrac{D_x}{D}\\\\\\~~=\dfrac{\begin{vmatrix} 70& -5 \\3&7 \end{vmatrix}}{\begin{vmatrix} 8& -5\\ 9& 7\end{vmatrix}}\\\\\\~~=\dfrac{70(7) -(-5)(3)}{(8)(7)-(-5)(9)}\\\\\\~~=\dfrac{490+15}{56+45}\\\\\\~~=\dfrac{505}{101}\\\\\\~~=5

y = \dfrac{D_y}{D}\\\\\\~~=\dfrac{\begin{vmatrix} 8& 70 \\9&3 \end{vmatrix}}{\begin{vmatrix} 8& -5\\ 9& 7\end{vmatrix}}\\\\\\~~=\dfrac{(8)(3) -(70)(9)}{(8)(7)-(-5)(9)}\\\\\\~~=\dfrac{24-630}{56+45}\\\\\\~~=-\dfrac{606}{101}\\\\\\~~=-6

\textbf{Hence, the solution to the system of equation is}~ (x,y) = (5,-6)

7 0
2 years ago
Find three consecutive odd integers whose sum is 176
il63 [147K]

Answer: 41 plus 43 plus 45 plus 47.

Step-by-step explanation: n/a

4 0
3 years ago
Can we have a repeating number in a fraction? For example, repeating 54 over positive 6.
Zinaida [17]
Yes. All you have to do is simplify the fraction to its lowest term.
5 0
3 years ago
Read 2 more answers
X + 7 = 23 middle school work
MatroZZZ [7]

Answer:

X = 16

Step-by-step explanation:

23 - 7 = 16

4 0
3 years ago
Read 2 more answers
Other questions:
  • The greatest comen factor of 21, 30,49
    14·1 answer
  • A large container holds 5 gallons of water. It begins leaking at a constant rate. After 10 minutes, the container has 3 gallons
    15·1 answer
  • 10a÷2a<br> please show working out or write an explanation thankyou
    13·1 answer
  • A person is standing 50 yards from the base of a building. The angle of elevation from the person to the top of the building is
    10·1 answer
  • What is 11.16 times 3.27??
    7·1 answer
  • Is (-1,1) a solution to y=3x+4 and 4y-3x=-7
    12·1 answer
  • 25. What is the equation of a line that has a slope of 3 and passes through the point (1, 2)?
    15·1 answer
  • I will mark brainliest to whoever helps! :D
    13·1 answer
  • Which of the following is a solution to the inequality below? 12 - x/11 &gt; 8
    8·1 answer
  • Angle Sum Theorem what is y
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!