999 less than 45 increased by the product of a number and 85

Given AD = 7x , AB = 3x and the perimeter is 160. Find X.

Alexandra [31]

Answer:

x = 8

Step-by-step explanation:

The complete question illustrates that the rectangle has sides ABCD and I've represented it as an attachment.

We have that:

AB = 3x

AD = 7x

The perimeter is calculated as:

Perimeter = 2 * (AB + AD)

Substitute values for AB, AD and Perimeter

160 = 2 * (3x + 7x)

160 = 2 * 10x

160 = 20x

Divide both sides by 20

8 = x

x = 8

8 0

3 years ago

Frands collects marbles. In her collection are:

Vilka [71]

Answer:

Step-by-step explanation:

VVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVV∀°←ω∵ωβ,≡⇅∑ωπω⇄Δ∫ωωω³²²²²

3 0

3 years ago

You put $500 in a savings account. The account earns $15.75 simple interest in 6 months. What is the annual interest rate? Show

marta [7]

So in 6 months (1/2yr) you earned $15.75 interest, if we double that we find the total interest you would gain for that year, 15.75x2= $31.5 total interest for that year.

To find the annual rate divide the interest gained by the amount deposited, 31.5/500 = 0.063% p.a.

3 0

3 years ago

Solve the following:<br> 6(2x+3)-3(x-2)=6

REY [17]

The value of x is -2

Step-by-step explanation:

Given that

6 (2x + 3) - 3(x - 2) = 6

Expand the bracket

6 (2x + 3) - 3(x - 2) = 6

12x + 18 - 3x + 6 = 6

Collect like terms

12x - 3x = 6 - 6 - 18

9x = -18

Divide through by 9

9x / 9 = -18 / 9

x = -2

Therefore, the value of x is -2

Learn more about inequality here : brainly.com/question/20252161

4 0

2 years ago

Read 2 more answers

If we sample from a small finite population without replacement, the binomial distribution should not be used because the event

seropon [69]

Answer:

5/4324 = 0.001156337

Step-by-step explanation:

To better understand the hyper-geometric distribution consider the following example:

There are 100 senators in the US Congress, and suppose 60 of them are republicans so 100 - 60 = 40 are democrats).

We extract a random sample of 30 senators and we want to answer this question:

What is the probability that 10 senators in the sample are republicans (and of course, 30 - 10 = 20 democrats)?

The answer using the h-g distribution is:

$\large \frac{\binom{60}{10}\binom{100-60}{30-10}}{\binom{100}{30}}=\frac{\binom{60}{10}\binom{40}{20}}{\binom{100}{30}}$

Now, imagine there are 56 senators (56 lottery numbers), 6 are republicans (6 winning numbers and 50 losers), we extract a sample of 6 senators (the bettor selects 6 numbers). What is the probability that 4 senators are republicans? (What is the probability that 4 numbers are winners?).

<em>As we see, the situation is exactly the same,</em> but changing the numbers. So the answer would be

$\large \frac{\binom{6}{4}\binom{56-6}{6-4}}{\binom{56}{6}}=\frac{\binom{6}{4}\binom{50}{2}}{\binom{56}{6}}$

Now compute each combination separately:

$\large \binom{6}{4}=\frac{6!}{4!2!}=15\\\\\binom{50}{2}=\frac{50!}{2!48!}=1225\\\\\binom{50}{6}=\frac{50!}{6!44!}=15890700$

and now replace the values:

$\large \frac{\binom{6}{4}\binom{50}{2}}{\binom{56}{6}}=\frac{15*1225}{15890700}=\frac{18375}{15890700}=\frac{5}{4324}$

and that is it.

If the decimal expression is preferred then divide the fractions to get 0.001156337

6 0

3 years ago