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Nady [450]
3 years ago
6

A set of gulf clubs is on sale for $150, which is 70% off of its original price. What was the original price of the gulf clubs

Mathematics
1 answer:
Alika [10]3 years ago
8 0

Answer: 500$

Step-by-step explanation: 150 is 70% off the ORIGINAL price, so 150 is actually 30% off. Divide everything by 3 and you get 50$ = 10%. Multiple 50 by 10 and you get 500, your answer.

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Whitch expression is equivalent to 7 to the 3rd power? 7*7*7. Or 21. Or. 3 to the power of. Or. 10
laila [671]

Answer:

7x7x7

Step-by-step explanation:

8 0
3 years ago
Find the volumes of the solids generated by revolving the triangle with vertices (2, 2)​, (2, 6)​, and (5, 6) about ​a) the​ x-a
Vesna [10]
  • About the x-axis (washer method):

\displaystyle\pi\int_2^5\left(6^2-\left(\frac43x-\frac23\right)^2\right)\,\mathrm dx=\frac{16\pi}9\int_2^5(20+x-x^2)\,\mathrm dx=\boxed{56\pi}

  • About the y-axis (shell method):

\displaystyle2\pi\int_2^5x\left(6-\left(\frac43x-\frac23\right)\right)\,\mathrm dx=\frac{8\pi}3\int_2^5x(5-x)\,\mathrm dx=\boxed{36\pi}

  • About x=7 (shell method):

\displaystyle2\pi\int_2^5(7-x)\left(6-\left(\frac43x-\frac23\right)\right)\,\mathrm dx=\frac{8\pi}3\int_2^5(35-12x+x^2)\,\mathrm dx=\boxed{48\pi}

  • About y=2 (washer method):

\displaystyle\pi\int_2^5\left((6-2)^2-\left(\frac43x-\frac23-2\right)^2\right)\,\mathrm dx=\frac{16\pi}9\int_2^5(5+4x-x^2)\,\mathrm dx=\boxed{32\pi}

7 0
3 years ago
Please solve this equations y=6x²-5,y=17x-6/x​
Amiraneli [1.4K]

Answer:

x=3, y = 49\\x=0.5, y = -3.5\\x=-0.67, y = -2.31

Step-by-step explanation:

y=6x^2-5\\y=17x-\frac{6}{x}

Let's substitute the first equation into the second one.

6x^2-5=17x-\frac{6}{x}

6x^3-17x^2-5x+6=0 - Multiply by x and bring all the terms to one side.

I'll use my graphical calculator to solve this but you could factor:

x=3\\x=0.5\\x=-0.67 (All rounded to 2 decimal places)

Now we can substitute these x values into an equation for y.

y=6x^2 - 5

x=3, y = 49\\x=0.5, y = -3.5\\x=-0.67, y = -2.31

5 0
3 years ago
Pete found 5/6 of a party sand which in the refrigerator. He took 1/2 of the 5/6 of the sand which to his neighbors. How much of
Y_Kistochka [10]

Answer:

1/2

Step-by-step explanation:

Pete found 5/6 of a party sand which in the refrigerator. He took 1/2 of the 5/6 of the sand which to his neighbors.

This is calculated as:

1/2 × 5/6

= 5/12

Hence, he took 5/12 of the sand

How much of the original sand which did pete take to his neighbors.

Let the original sand be represented as 1

Hence:

5/6 = 5/12 sand

1 = x

Cross Multiply

5/6x = 1 × 5/12

x = 5/12 ÷ 5/6

x = 5/12 × 6/5

x = 1/2

Therefore, pete took 1/2 of the original sand to his neighbors.

3 0
3 years ago
the difference between the squares of two numbers is 32. twice the square of the first number increased by the square of the sec
melamori03 [73]

Answer:

The numbers are 6 and 2

6 squared = 36

2 squared = 4

So 36-4 = 32

And 36 x 2 = 72 + 4 = 76

7 0
3 years ago
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