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3 years ago

Find the value of X on this proportion

2 answers:

5 0

solving proportions is simply a matter of stating the ratios as fractions, setting the two fractions equal to each other, cross-multiplying, and solving the resulting equation. You'll probably start out by just solving proportions, like this:

Find the unknown value in the proportion: 2 : x = 3 : 9.2 : x = 3 : 9First, I convert the colon-based odds-notation ratios to fractional form:.Then I solve the proportion:
9(2) = x(3) 
18 = 3x
6 = xFind the unknown value in the proportion: (2x + 1) : 2 = (x + 2) : 5(2x + 1) : 2 = (x + 2) : 5 ADVERTISEMENT First, I convert the colon-based odds-notation ratios to fractional form:Then I solve the proportion:
5(2x + 1) = 2(x + 2)
10x + 5 = 2x + 4
8x = –1
x = –1/8

Serga [27]3 years ago

4 0

Answer:

the answer is c .

Step-by-step explanation:

8 1/10 , took it on edgenuity.

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Which ordered pair is a solution of the equation? 7x-2y=-57x−2y=−5

Yuri [45]

Answer:

what ordered pairs?

Step-by-step explanation:

6 0

3 years ago

Distributive property to expand -1/6(5x-12)

castortr0y [4]

Answer:

-5/6x+2

Step-by-step explanation:

hope that helps

3 0

3 years ago

A research team at Cornell University conducted a study showing that approximately 10% of all businessmen who wear ties wear the

LenKa [72]

Answer:

a) The probability that at least 5 ties are too tight is P=0.0432.

b) The probability that at most 12 ties are too tight is P=1.

Step-by-step explanation:

In this problem, we could represent the proabilities of this events with the Binomial distirbution, with parameter p=0.1 and sample size n=20.

a) We can express the probability that at least 5 ties are too tight as:

$P(x\geq5)=1-\sum\limits^4_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\geq5)=1-(0.1216+0.2702+0.2852+0.1901+0.0898)\\\\P(x\geq5)=1-0.9568=0.0432$

The probability that at least 5 ties are too tight is P=0.0432.

a) We can express the probability that at most 12 ties are too tight as:

$P(x\leq 12)=\sum\limits^{12}_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\leq 12)=0.1216+0.2702+0.2852+0.1901+0.0898+0.0319+0.0089+0.0020+0.0004+0.0001+0.0000+0.0000+0.0000\\\\P(x\leq 12)=1$

The probability that at most 12 ties are too tight is P=1.

5 0

3 years ago

The sum of two numbers is 72. One number is 8

Tpy6a [65]

Answer:

32 and 40

Step-by-step explanation:

Let's call the smaller number x. If the smaller number is x, the equation for this problem is 2x + 8 = 72

Equation:

2x + 8 = 72

2x = 64

x = 32

So now we know the smaller number is 32, so now add 8 and we get 40.

Therefore the 2 numbers are 32 and 40

7 0

3 years ago

the perimeter of a rectangle swimming pool is 486 feet. The width of the pool is 35 feet less than the length. Find the length a

statuscvo [17]

Answer:

Length: 139 feet

Width: 104 feet

Step-by-step explanation:

The formula for the perimeter of a rectangle can be given by $P = 2l + 2w$ . We are given the perimeter of the pool along with the width.

$P = 486$

$w = l - 35$

From here, all we have to do is plug back into the original formula:

$486 = 2l + 2(l - 35)$

Which can be further simplified as:

$486 = 2l + 2l - 70$

$486 = 4l - 70$

From here, all we have to do is add 70 to both sides of the equation and divide by four:

$556 = 4l$

$139 = l$

To make sure that this answer is accurate, we can find that the width of the rectangle should then be 104 (given by 139 - 35). All we have to do is plug back into the original equation:

$P = 2l + 2w$

$P = 2(139) + 2(104)$

$P = 278 + 208$

$P = 486$

And the substitution works, so the length of the rectangle would be 139 feet and the width would be 104 feet.

5 0

3 years ago

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