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Fantom [35]
4 years ago
8

In 6th grade, the ratio of boys to girls is 4 to 5. If there are 145 girls,how many boys are there

Mathematics
1 answer:
swat324 years ago
4 0

Answer: 181.25

Step-by-step explanation:

So 4 to 5 is a ratio. Now there is 145 girls, so you figure out 4 multiplied by what is equal to 145. You get 36.25, so you multiply the number 5 by the same number to get your answer. 36.25*5=181.25

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Fully simplify −10x3y2(9x)
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Answer:

Step-by-step explanation:

-10*9*x^3*x*y^2 = -90x^4y^2

5 0
3 years ago
In an instant lottery, your chances of winning are 0.1. if you play the lottery five times and outcomes are independent, the pro
lesya692 [45]

The probability that you lose all five times will be 0.59.

<h3>How to calculate the probability?</h3>

From the information given, the chances of winning are 0.1. Therefore, the chance of losing will be:

= 1 - 0.1 = 0.9

Therefore, the probability that you lose all five times will be:

= 0.9 × 0.9 × 0.9 × 0.9 × 0.9

= 0.59

Learn more about probability on:

brainly.com/question/24756209

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6 0
2 years ago
What is the amplitude, period, and phase shift of y= 5cos( x/2 + 2pi/3)
nordsb [41]
Y = A cos(Bx + C)
A - amplitude
\frac{2\pi}{B} - period
- \frac{C}{B} - phase shift

y=5\cos{( \frac{x}{2} + \frac{2\pi}{3} )}&#10;\\&#10;\\y=5\cos{( \frac{1}{2}x + \frac{2\pi}{3})}&#10;\\&#10;\\A=5,B= \frac{1}{2},C= \frac{2\pi}{3}

Amplitude: 5
Period: \frac{2\pi}{B}=\frac{2\pi}{\frac{1}{2}}=4\pi
Phase shift: - \frac{C}{B} =- \frac{\frac{2\pi}{3}}{\frac{1}{2}}= -\frac{4\pi}{3}
3 0
3 years ago
Write the equation of the line through each point.
Leya [2.2K]

Answer:

The equation would be y = -1/3x + 4

Step-by-step explanation:

The first step to finding this equation needs to be solving the first equation for y so that we can find the slope.

-3x + y = 1

y = 3x + 1

Now that we have the slope of 3, we know the slope of a perpendicular line would be -1/3. This is because perpendicular lines have opposite and reciprocal slopes. We can then use this and the point to solve in point-slope form.

y - y1 = m(x - x1)

y - 2 = -1/3(x - 6)

y - 2 = -1/3x + 2

y = -1/3x + 4

5 0
3 years ago
Simplify 5 to the 2nd power * 5 to the 9th power
icang [17]

Answer:

Thee first one is 25 and the second one is 1,953,125

Step-by-step explanation:

You just times each one by five. If you want to simplify it tho it would be as the first one is 12,5 the second one is 976562.5. Hope it helps

3 0
3 years ago
Read 2 more answers
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