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Likurg_2 [28]
3 years ago
8

Dave rented a limousine for his wife's birthday. The hourly rate is $70. They used the limousine for 4 hours, plus Dave gave the

driver a 20% tip. How much did he spend in the total for he hourly charges plus tip?
Mathematics
2 answers:
gayaneshka [121]3 years ago
5 0
So you would do 70x4=280 for the 20% tip it would be $56.00 total bill would be $366.00
Juli2301 [7.4K]3 years ago
5 0
336 is your answer
70 x 4=280
+ 80%
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Tom bought a PS4 on Black Friday for 25% off. If the system sells for $399, what is the sales price of the PS4?
Delicious77 [7]

Answer:

The sales price of the PS4 is $532.

Step-by-step explanation:

The system sells for $399 after giving 25% off on a Black Friday on the sales price.

Let the sales price of the PS4 system is $x.

Then after giving 25% discount the price will become x(1 - \frac{25}{100}) = 0.75x

Therefore, 0.75x = 399

⇒ x = 532  

Therefore, the sales price of the PS4 is $532. (Answer)

7 0
2 years ago
Show work please.<br><br> solve system of equations using matrices.
nadya68 [22]

Answer:

(t, t -1, t)

Step-by-step explanation:

You have three unknowns but only 2 equations, so you can't really SOLVE this...you can get a solution with a variable still in it (I forget what this is called.  I think it refers to infinite many solutions).  Here's how it works:

Set up your matrix:

\left[\begin{array}{ccc}1&-2&1\\2&-1&-1\\\end{array}\right] \left[\begin{array}{ccc}2\\1\\\end{array}\right]

You want to change the number in position 21 (the 2 in the scond row) to a 0 so you have y and z left.  Do this by multiplying the top row by -2 then adding it to the second row to get that 2 to become a 0.  Multiplying in a -2 to the top row gives you:

\left[\begin{array}{ccc}-2&4&-2\\2&-1&-1\\\end{array}\right]\left[\begin{array}{ccc}-4\\1\\\end{array}\right]

Then add, keeping the first row the same and changing the second to reflect the addition:

\left[\begin{array}{ccc}-2&4&-2\\0&3&-3\\\end{array}\right] \left[\begin{array}{ccc}-4\\-3\\\end{array}\right]

The second equation is this now:

3y - 3z = -3.  Solving for y gives you y = z - 1.  Let's let z = t (some random real number that will make the system true.  Any number will work.  I'll show you at the end.  Just bear with me...)

lf z = t, and if y = z - 1, then y = t - 1.  So far we have that y = t - 1 and z = t.  Now we solve for x:

From the first equation in the original system,

x - 2y + z = 2.  Subbing in t - 1 for y and t for z:

x - 2(t - 1) + t = 2.  Simplify to get

x - 2t + 2 + t = 2  and  x - t = 0, and x = t.  So the solution set is (t, t - 1, t).  Picking a random value for t of, let's say 2, sub that in and make sure it works.  If:

x - 2y + z = 2, then t - 2(t - 1) + t = 2 becomes t - 2t + 2 + t = 2, and with t = 2, 2 - 2(2) + 2 + 2 = 2.    Check it:  2 - 4 + 4 = 2 and 2 = 2.  You could pick any value for t and it will work.

6 0
2 years ago
17)Let f(x) = -2x + 5 and g(x) = 9x2 + 4. Find f(8) + g(8) . A)565 B)569 C)564 D)560​
siniylev [52]

Answer:

answer B \boxed{ \ 569 \ }\\

Step-by-step explanation:

f(8)=-2*8+5=-11

g(8)=9*8*8+4=580

f(8)+g(8)= -11+580=569

4 0
3 years ago
Use the distributive property to simplify the expression 5 ( − 1 x − 6 + 6 y )
expeople1 [14]

Answer:

the answer should be -5x - 30 + 30 y

3 0
2 years ago
Read 2 more answers
Please help me!!!!!!!!
sergejj [24]

Answer:

Angle 1: 105

Angle 2: 75

Step-by-step explanation:

You know 2 is 75 because both lines are parallel.

To get 1 you subtract 75 from 180.

6 0
2 years ago
Read 2 more answers
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