MATHEMATICS HIGH SCHOOL

A tank containing 64 gallons lost 6 1/4% through leakage. How much remained in the tank?

Answers

Answer 1
Answer: There are still 60 gallons in the tank:)
Answer 2
Answer:

Answer:

60 gal

Step-by-step explanation:

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Solve: y=6x-8 and y=-3x+10

Answers

The solution to the system of equations is x = 2 and y = 4.

To solve the system of equations:

y = 6x - 8   ...(Equation 1)

y = -3x + 10  ...(Equation 2)

We can set the two equations equal to each other:

6x - 8 = -3x + 10

To solve for x,

6x + 3x = 10 + 8

9x = 18

Dividing both sides by 9:

x = 18/9

x = 2

So,  y = 6(2) - 8

y = 12 - 8

y = 4

Therefore, the solution to the system of equations is x = 2 and y = 4.

Learn more about Equation here:

brainly.com/question/29657983

#SPJ6

Answer:

x = 2

Step-by-step explanation:

hey there,

< If these two are together, then the problem would look like this:

\left \{ {{y=6x-8} \atop {y=-3x+10}} \right.

From the first equation, we can see that y = 6x-8. I am assuming in your problem you need to find what "x" is equal to, so plug in the first "y" value into the second one.

6x - 8 = -3x + 10

Bring all "x"s to one side and regular numbers to the other side.

6x + 3x = 10 + 8

9x = 18

x = 2

x = 2 is your final answer. >

Hope this helped! Feel free to ask anything else.

How can you tell when a quadratic equation has two identical, rational solutions?when the radicand is negative
when b in the quadratic formula is greater than the radicand
when the radicand equals zero
when the radicand is not a perfect square

Answers

The discriminant of a quadratic equation determines the nature of the roots of the equation whether they are rel or imaginary. The formula for determining the discriminant is 
d = b2 - 4acwhen there are two identical real roots, then the discriminant is equal to zero. The answer is C. 

Answer:

When the radical equals 0 or C.

Step-by-step explanation: I got it right on a test.

At Factory Y, a worker's wages for a 40-hour week is $200. She is paid 10% of her regular weekly wages for every hour that she works overtime. At the end of a certain week she received $380. Calculate the number of hours of overtime that she worked.

Answers

Answer:

She worked 18 hours of overtime.

Step-by-step explanation:

If she works 40 hours per week and gets $200, subtract $380 - $200 = $180.

If you multiply $180 by 0.1 (which is 10% converted to a decimal), you get 18 which is your final answer.

The base of a solid in the xy-plane is a circle with a radius of 3. cross sections of the solid perpendicular to the x-axis are squares. set up the integral to arrive at the volume of the solid and solve.

Answers

Answer:

\large \boxed{144}

Step-by-step explanation:

1. Set up the integral.

The equation for the circle is

x² + y² = 9

The bottom corners of the square are at  

(x, \sqrt{9 - x^(2)})\text{ and } (x, -\sqrt{9 - x^(2)})

The length (a) of a side is

a = 2\sqrt{9 - x^(2)}

and the area (A) of the square cross-section is

A = a² = 4(9 - x²)

The volume (V) of the solid is

V = \displaystyle \int_(-3)^(3) {4(9 - x^(2))} dx

2. Solve the integral

\displaystyle \int_(-3)^(3) {4(9 - x^(2))} dx = 4\begin{bmatrix}9x - (1)/(3)x^(3)\end{bmatrix}_(-3)^(3)= 4[(27 - 9) - (-27 +9)] = 4[18 - (-18)]\n= 4[18 + 18] = 4 *36 = \mathbf{144}\n\n\text{The volume of the solid is $\large \boxed{\mathbf{144}}$}

working as a waiter, Michael earns $6.50 per hour plus tips. last night he received $36.50 in tips and earned a total of $65.75. how many hours did he work

Answers

Michael worked 4.5 hours. 65.75 - 36.50 = 29.25, therefore, Michael made $29.25 not including tips. 29.25/6.50 = 4.5

Write 6y = x + 5 in standard form using integers. A. –x + 6y = 5
B. –6x + 6y = 30
C. -6x - 6y = 30
D. 6x - 6y = 30

Answers

I hope this helps you


-x+6y=5
Standard form is Ax+By=C, so with that knowledge, we can work with the problem to get it how we want it!

Our first step is to get x and y on the same side of the equals sign. To do that, we can subtract an x from both sides, turning 6y = x + 5 into -x +6y = 5. Lucky for us, this brings us straight to the answer, which is A) -x +6y = 5!
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