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sashaice [31]
3 years ago
8

Sally needs a minivan. Express Rent-A-Car charges $45 per day plus $0.40 per mile.

Mathematics
1 answer:
lys-0071 [83]3 years ago
5 0

Answer:

200 times

Step-by-step explanation:

45 + 0.4x = 75 + 0.25x

45 + 0.4x - 45 = 75 + 0.25x -45

0.4x = 30 + 0.25x

0.4x - 0.25 x = 30 + 0.25x - 0.25x

0.15x = 30

Multiply by 100 on each side to make it easier.

15x = 3000

x = 200

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Queen spend 3/5 hrs studying and spend 4 /10 hrs at the computer. How much less time does queen spend at the computer compared t
Ksju [112]

Answer:

Queen spends 1 1/1 less time at studying.

4 0
3 years ago
solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations. x-2y+
Alekssandra [29.7K]

Answer:

x = -5, y = -6, z = -3

Step-by-step explanation:

Given the system of three equations:

\left\{\begin{array}{l}x-2y+3z=-2\\6x+2y+2z=-48\\x+4y+3z=-38\end{array}\right.

Write the augmented matrix for the system of equations

\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)

Find the reduced row-echelon form of the augmented matrix for the system of equations:

\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)\sim \left(\begin{array}{ccccc}1&-2&3&|&-2\\0&-14&16&|&36\\0&-6&0&|&36\end{array}\right)\sim \left(\begin{array}{ccccc}1&3&-2&|&-2\\0&16&-14&|&36\\0&0&-6&|&36\end{array}\right)

Thus, the system of three equations is

\left\{\begin{array}{r}x+3z-2y=-2\\16z-14y=36\\-6y=36\end{array}\right.

From the last equation:

y=-6

Substitute it into the second equation:

16z-14\cdot (-6)=36\\ \\16z=36-84\\ \\16z=-48\\ \\z=-3

Substitute y = -6 and z = -3 into the first equation:

x+3\cdot (-3)-2\cdot (-6)=-2\\ \\x=-2+9-12\\ \\x=-5

7 0
3 years ago
Terry bakes bread. He uses the equation 3x-18=y to find the profit, y , in dollars. He paid $18 for supplies and earns $3 for ea
Semenov [28]
X=The number of loaves sold
3 0
3 years ago
Read 2 more answers
Creating a One-Variable Equation to Model and Solve a Problem
guajiro [1.7K]

Answer:

The hourly fee for rototiller is $3 per hour.

Step-by-step explanation:

We are given the following in the equation:

The rental company  charged an initial fee of $43 with an additional fee per hour.

Let h represents the hourly fee.

The family paid $64 after renting the rototiller for 7 hours.

Thus, we can write the equation:

43 + 7h = 64

Solving the equation, we get,

43 + 7h = 64\\7h = 64-43\\7h = 21\\\Rightarrow h = 3

Thus, the hourly fee is $3 per hour.

Equation:

C(x) = 43 + 3x

where C(x) is the cost function and x is the number of hours rototiller is rented.

The hourly fee for rototiller is $3 per hour.

4 0
3 years ago
What os the value of x in the equation 3x- 1/9y=18, when y =27
ollegr [7]
<span>3x- 1/9 y=18
</span><span>3x- 1/9(27) =18
3x - 3 = 18
3x = 21
  x = 7

hope it helps</span>
6 0
3 years ago
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