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3 years ago

Write a simplified expression that represents the perimeter of a triangle who has a length of 7x + 5 and a width of 3x - 8.

Mathematics

1 answer:

tino4ka555 [31]3 years ago

7 0

Answer:

The simplified expression would be 10x - 3

Step-by-step explanation:

add like terms.

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87.2 - 25.9 = 87.2 - ___ = 61.2 ___ + 0.1 = ___

Ganezh [65]

87.2 - 25.9 = 87.2 - 26 = 61.2 + 0.1 = 61.3

8 0

3 years ago

Complete the problem

nika2105 [10]

Answer:

The answer is C..........

4 0

3 years ago

Which property would be useful in proving that the product of two rational numbers is ALWAYS rational? A) a b + c d = ad + bc bd

Mademuasel [1]

Answer:

Step-by-step explanation:

So we need to understand what is rational numbers?

Rational number which can be written under this form: $\frac{x}{y}$ when x any are both integers and y $\neq 0$

The question here is : Which property would be useful in proving that the product of two rational numbers. In math, when we talk about the product of at least two number, it implies to the multiplication in the operation.

Here, only answer C: $\frac{a}{b} *\frac{c}{d} = \frac{ac}{bd}$ with the condition $b\neq 0 and d \neq 0$ and a, b, c and d are integers. Product of two integers is always an integer..

3 0

3 years ago

Read 2 more answers

the point 3,2 lies on a circle.what is the exact length of the radius of this circle if the center is located at (-1,-4)

Crazy boy [7]

You can use the distance formula to solve this.

Distance Formula:
$d = \sqrt{(X_2 -X_1)^2 + (Y_2 - Y_1)^2}$

I am going to use point (3,2) as point 1 and (-1,-4) as point 2
Insert the points into the formula
$d = \sqrt{(X_2 -X_1)^2 + (Y_2 - Y_1)^2}$
$d = \sqrt{((-1) - 3)^2 + ((-4) - 2)^2}$
Solve:
$d = \sqrt{((-1) - 3)^2 + ((-4) - 2)^2}$
$d = \sqrt{(-4)^2 + (-6)^2}$
$d = \sqrt{16 + 36}$
$d = \sqrt{52}$
$d = \sqrt{52} = \sqrt{4}\sqrt{13}$
$d = \sqrt{52} = 2 \sqrt{13}$
$d = 2 \sqrt{13}$
$radius = 2 \sqrt{13} = 7.2111$

5 0

3 years ago

laiz [17]

Answer:

B) 0.02

Step-by-step explanation:

<u>Use the Binomial Theorem</u>

$\displaystyle P(X=x)=\binom{n}{x}p^xq^{n-x}\\\\P(X=4)=\binom{30}{4}(0.30)^4(1-0.30)^{30-4}\\\\P(X=4)=\frac{30!}{4!(30-4)!}(0.30)^4(0.70)^{26}\\ \\P(X=4)=\frac{30!}{4!(26)!}(0.30)^4(0.70)^{26}\\ \\P(X=4)=\frac{30*29*28*27}{4*3*2*1}(0.30)^4(0.70)^{26}\\ \\P(X=4)=27405(0.30)^4(0.70)^{26}\\\\P(X=4)\approx0.0208$

We have the probability of success, $p=0.30$ , and the probability of failure, $q=1-0.30=0.70$ . The binomial coefficient, $\binom{n}{k}$ , represents the amount of possible combinations that $k$ items can be chosen out of $n$ items, with its respective formula $\frac{n!}{k!(n-k)!}$ .

Hence, the best choice for the probability that 4 students chosen at random from the class of 30 that want the next test to be on Monday will be option B, 0.02

7 0

2 years ago