Solve for x. 2/3x=−3/5 x=−9/10 x=−3/5 x=−2/5 x=1 1/5

Round 87590 is nearest 1000 you will get

Answer:

88,000

Step-by-step explanation:

The number in the thousands is 7. If we look at the hundreds, it has a 5. 5 or more means to round up. So, rounding up the 7 gives us 8. Then, we make all the numbers past the 1000's place 0's. So, we are therefore left with 88,000.

Hope this helps! :D

3 0

2 years ago

Read 2 more answers

The sum of 4 consecutive integers is 354. What is the second number in this sequence?

Ulleksa [173]

354 / 4 = 88.5

so2 numbers below that and 2 numbers above that:

87 + 88 + 89 +90 =

2nd number is 88

8 0

2 years ago

How do I solve: 2 sin (2x) - 2 sin x + 2√3 cos x - √3 = 0

ziro4ka [17]

Answer:

$\displaystyle x = \frac{\pi}{3} +k\, \pi$ or $\displaystyle x =- \frac{\pi}{3} +2\,k\, \pi$ , where $k$ is an integer.

There are three such angles between $0$ and $2\pi$ : $\displaystyle \frac{\pi}{3}$ , $\displaystyle \frac{2\, \pi}{3}$ , and $\displaystyle \frac{4\,\pi}{3}$ .

Step-by-step explanation:

By the double angle identity of sines:

$\sin(2\, x) = 2\, \sin x \cdot \cos x$ .

Rewrite the original equation with this identity:

$2\, (2\, \sin x \cdot \cos x) - 2\, \sin x + 2\sqrt{3}\, \cos x - \sqrt{3} = 0$ .

Note, that $2\, (2\, \sin x \cdot \cos x)$ and $(-2\, \sin x)$ share the common factor $(2\, \sin x)$ . On the other hand, $2\sqrt{3}\, \cos x$ and $(-\sqrt{3})$ share the common factor $\sqrt[3}$ . Combine these terms pairwise using the two common factors:

$(2\, \sin x) \cdot (2\, \cos x - 1) + \left(\sqrt{3}\right)\, (2\, \cos x - 1) = 0$ .

Note the new common factor $(2\, \cos x - 1)$ . Therefore:

$\left(2\, \sin x + \sqrt{3}\right) \cdot (2\, \cos x - 1) = 0$ .

This equation holds as long as either $\left(2\, \sin x + \sqrt{3}\right)$ or $(2\, \cos x - 1)$ is zero. Let $k$ be an integer. Accordingly:

$\displaystyle \sin x = -\frac{\sqrt{3}}{2}$ , which corresponds to $\displaystyle x = -\frac{\pi}{3} + 2\, k\, \pi$ and $\displaystyle x = -\frac{2\, \pi}{3} + 2\, k\, \pi$ .
$\displaystyle \cos x = \frac{1}{2}$ , which corresponds to $\displaystyle x = \frac{\pi}{3} + 2\, k \, \pi$ and $\displaystyle x = -\frac{\pi}{3} + 2\, k \, \pi$ .

Any $x$ that fits into at least one of these patterns will satisfy the equation. These pattern can be further combined:

$\displaystyle x = \frac{\pi}{3} + k \, \pi$ (from $\displaystyle x = -\frac{2\,\pi}{3} + 2\, k\, \pi$ and $\displaystyle x = \frac{\pi}{3} + 2\, k \, \pi$ , combined,) as well as
$\displaystyle x =- \frac{\pi}{3} +2\,k\, \pi$ .

7 0

3 years ago

50 is 50% of what number? Plz show work in explanation thanks. Again im in middle school i musta misclicked high school instead

erastovalidia [21]

100

50 is half of 100 and 50% is half.

6 0

2 years ago

A pail holds 6 3 4 gallons of water. How much is this in cups? Write your answer as a whole number or a mixed number in simplest

storchak [24]

I'm assuming the pail holds 6 3/4 (not 634) gallons of water.

1 gallon= 16 cups

Multiply total gallons by cups per 1 gallon.

= 6 3/4 cups * 16 cups/gallon
convert mixed number to improper fraction

= 27/4 * 16
multiply numerators

= (27*16)/4
multiply in parentheses

= 432/4

= 108 cups

ANSWER: There are 108 cups

Hope this helps! :)

3 0

2 years ago