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Svetlanka [38]
3 years ago
5

Two mechanics worked on a car. The first mechanic charged $45 per hour, and the second mechanic charged $55 per hour. The mechan

ics worked for a
combined total of 25 hours, and together they charged a total of $1175. How long did each mechanic work?​
Mathematics
1 answer:
Rus_ich [418]3 years ago
7 0
Let first mechanic worked for X and second be Y.

So, X + Y = 25
X = 25-Y

And total they charged-
45X + 55Y = 1175
5 (9X + 11Y) = 235 * 5
(9X + 11Y) = 235
11Y = 235-9X

From fist statement: X=25-Y

11Y = 235-9(25-Y)
11Y = 235-225+9Y
11Y = 10+9Y
11Y - 9Y = 10
2Y = 10
Y= 10/2
Y=5 hours

X=25-Y
X=25-5
X=20

X worked for 20 hours and Y for 5 hours.

PS. Moral of the story- You can say Y was lazy but still charged more than Y. Just kidding!

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A new bank customer with 3,000 wants to open a money market account the bank is offering a simple interest rate of 1.8% how much
Tcecarenko [31]

Answer:

$3540

Step-by-step explanation:

See explanation

Step-by-step explanation:

The Simple Interest will be calculated as:

= P × R × T

= $3000 × 1.8% × 10.

= $3000 × 0.018 × 10

= $540

The interest that the customer earn in 10 years is $540.

Then, the account balance after 10 years will be:

= Principal + Interest

= $3000 + $540

= $3540

Therefore, the account balance will be $3540

5 0
3 years ago
Factor the expression completely.<br> x^4-11x^2+28<br> x <br> 4<br> −11x <br> 2<br> +28
nadezda [96]

Answer:

(x² - 7)(x² - 4)

Step-by-step explanation:

We can actually factor this the same way we would solve a normal quadratic equation.  We will end up with the factored terms have squares of x instead of just x.

x⁴ - 11x² + 28

= x⁴ - 4x² - 7x² + 28

= x²(x² - 4) - 7(x² - 4)

= (x² - 7)(x² - 4)

4 0
3 years ago
Probability played a role in the rigging of the April 24, 1980, Pennsylvania state lottery. To determine each digit of the three
Whitepunk [10]

Answer:

8 potential winners ( 444, 446, 644, 464, 466, 646, 664, 666)

Step-by-step explanation:

To alter the odds the balls numbered 4 and 6 werent injected with liquid and hence they will float making it certain for their selection and determination as the winning digits. The potential of the winning numbers are (2)^3=8.

Since 4 and 6 ain't filled with liquid, they would be selected and determine the digits in the winning numbers in 8 ways ( 444, 446, 644, 464, 466, 646, 664, 666). The potential winning number is among them.

7 0
3 years ago
The area of a rectangle is 56 cm. The length is 2 cm more than x and the width is 5 cm less than
Ira Lisetskai [31]

Answer:

<u>x = 6, length = 8 cm and width = 7 cm</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Area of a rectangle = 56 cm²

Length of the rectangle = x + 2

Width of the rectangle= 2x - 5

2. Solve for x. Round to the nearest whole number.

Area of a rectangle = Length * Width

(x + 2) (2x - 5) = 56

2x² + 4x - 5x  -10 = 56

2x² - x  - 66 = 0

Factoring, we have:

(2x + 11) * (x - 6) = 0

x₁ = 2x + 11 = 0 ⇒ 2x = -11;  x₁  = - 5.5

x₂ = x - 6 = 0 ⇒ x₂ = 6

We picked x₂ because x₁ will give us negative values for length and width.

Length = 6 + 2 = 8 cm

Width = 2 * 6 - 5 = 12 - 5 = 7 cm

8 0
3 years ago
Is 7/10 of water in your body more than half of your body
Alchen [17]
Yesssssss according to my sister who studies medicine lol
6 0
3 years ago
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