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3 years ago

What is .0091 rounded to the hundredths

Mathematics

2 answers:

vitfil [10]3 years ago

6 0

That would be $0.01$

I hope that helps :)

-BARSIC- [3]3 years ago

3 0

.0091 rounded to the nearest hundredths is .01.

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$36,000,000 is what percent of $90,000,000?

jeka57 [31]

$36,000,000 is 40% of $90,000,000. Hope it helps!

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3 years ago

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A bottle and its cork cost $1.20 of the bottle costs $1.10 more than the cork. What is the cost of bottle and of the cost of cor

777dan777 [17]

The cost of the bottle alone costs $1.15, and the cork costs $0.05, you add them together and you get $1.20. That is how the bottle costs $1.20.

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3 years ago

Find the two intersection points

bogdanovich [222]

Answer:

Our two intersection points are:

$\displaystyle (3, -2) \text{ and } \left(-\frac{53}{25}, \frac{46}{25}\right)$

Step-by-step explanation:

We want to find where the two graphs given by the equations:

$\displaystyle (x+1)^2+(y+2)^2 = 16\text{ and } 3x+4y=1$

Intersect.

When they intersect, their x- and y-values are equivalent. So, we can solve one equation for y and substitute it into the other and solve for x.

Since the linear equation is easier to solve, solve it for y:

$\displaystyle y = -\frac{3}{4} x + \frac{1}{4}$

Substitute this into the first equation:

$\displaystyle (x+1)^2 + \left(\left(-\frac{3}{4}x + \frac{1}{4}\right) +2\right)^2 = 16$

Simplify:

$\displaystyle (x+1)^2 + \left(-\frac{3}{4} x + \frac{9}{4}\right)^2 = 16$

Square. We can use the perfect square trinomial pattern:

$\displaystyle \underbrace{(x^2 + 2x+1)}_{(a+b)^2=a^2+2ab+b^2} + \underbrace{\left(\frac{9}{16}x^2-\frac{27}{8}x+\frac{81}{16}\right)}_{(a+b)^2=a^2+2ab+b^2} = 16$

Multiply both sides by 16:

$(16x^2+32x+16)+(9x^2-54x+81) = 256$

Combine like terms:

$25x^2+-22x+97=256$

Isolate the equation:

$\displaystyle 25x^2 - 22x -159=0$

We can use the quadratic formula:

$\displaystyle x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}$

In this case, a = 25, b = -22, and c = -159. Substitute:

$\displaystyle x = \frac{-(-22)\pm\sqrt{(-22)^2-4(25)(-159)}}{2(25)}$

Evaluate:

$\displaystyle \begin{aligned} x &= \frac{22\pm\sqrt{16384}}{50} \\ \\ &= \frac{22\pm 128}{50}\\ \\ &=\frac{11\pm 64}{25}\end{aligned}$

Hence, our two solutions are:

$\displaystyle x_1 = \frac{11+64}{25} = 3\text{ and } x_2 = \frac{11-64}{25} =-\frac{53}{25}$

We have our two x-coordinates.

To find the y-coordinates, we can simply substitute it into the linear equation and evaluate. Thus:

$\displaystyle y_1 = -\frac{3}{4}(3)+\frac{1}{4} = -2$

And:

$\displaystyle y _2 = -\frac{3}{4}\left(-\frac{53}{25}\right) +\frac{1}{4} = \frac{46}{25}$

Thus, our two intersection points are:

$\displaystyle (3, -2) \text{ and } \left(-\frac{53}{25}, \frac{46}{25}\right)$

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3 years ago

Lynnette can wash 95 cars in 55 days. How many cars can Lynnette wash in 11 days?

hichkok12 [17]

Answer:

19 cars.

Step-by-step explanation:

Using a fraction is easy. Here's the ratio: 95/55

Reduce.

95/55 = ?/11

Divide 55 by 5 and you get 11. Do the same for 95. 95 divided by 5. Then you get 19. That's your answer.

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3 years ago

A plasma TV is on sale at a 22% discount. The sale price is $776.10. What was the original price?

Svetlanka [38]

754.1 was the original price of the TV

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3 years ago