All categories

3 years ago

2/3 divide by 4/5?

Mathematics

1 answer:

Alenkasestr [34]3 years ago

4 0

Answer:

$\frac{5}{6}$

Step-by-step explanation:

$\frac{2}{3}$ ÷ $\frac{4}{5}$

↓ ↓ ↓

leave it change it turn it over

$\frac{2}{3}$ × $\frac{5}{4}$

now solve it

$\frac{2}{3}$ × $\frac{5}{4}$ = $\frac{10}{12}$

now simplify it

$\frac{10}{12}$ = $\frac{5}{6}$

You might be interested in

Solve the equation by completing the square round to the nearest hundredth is necessary x^2-x-7=0

masha68 [24]

The answers are 3.19 or -2.19.

In order to complete the square, you must first get the constant to the other side of the equation. WE do that by adding 7 to both sides.

x^2 - x - 7 = 0

x^2 - x = 7

Now we must take half of the x coefficient (-1), which would be -.5. Then we square it and add it to both sides. This is the second step to any completing the square problem.

x^2 - x = 7

x^2 - x + .25 = 7.25

Now that we have done that, the left side will be a perfect square so that, we can factor it.

x^2 - x + .25 = 7.25

(x - .5)^2 = 7.25

After having done that, we can take the square root of both sides

(x - .5)^2 = 7.25

x - .5 = +/- $\sqrt{7.25}$

Now we can take the value of that square root and solve.

x - .5 = +/- $\sqrt{7.25}$

x - .5 = +/-2.69

x = .5 +/- 2.69

And with the + and - both there, we need to do both to get the two answers.

.5 + 2.69 = 3.19

.5 - 2.69 = -2.19

4 0

3 years ago

Solve for x. what are the measures of the two angles shown? show your work

mojhsa [17]

Answer:

x = 34

Step-by-step explanation:

This is a straight line so the sum of angles must be 180°

4x + 20 + x - 10 = 180 add like terms

5x + 10 = 180 subtract 10 from both sides

5x = 170 divide both sides by 5

x = 34

To calculate each angle we replace x with the value we found

4x + 20 ➡ 4×34 + 20 = 156

x - 10 ➡ 34 - 10 = 24

4 0

3 years ago

Segment Line segment X Y is dilated using a scale factor of Two-thirds through P. Which segment shows the correct result of the

garik1379 [7]

Answer:

We need the segments but which ever one has the segment that is 2/3 times the length of segments xy

Step-by-step explanation:

4 0

3 years ago

4y-9=15 how do I solve this

Makovka662 [10]

<span>4y-9=15
Add 9 to both sides.

4y = 24
Divide both sides by 4.

y = 6

The value of y is 6.</span>

4 0

3 years ago

Read 2 more answers

a test consists of 10 true false questions to pass a test a student must answer at least six questions correctly if a student gu

Delicious77 [7]

Answer:

$P(X \geq 6) = P(X=6) +P(X=7) +P(X=8) +P(X=9) +P(X=10)$

And using the probability mass function we got:

$P(X=6)=(10C6)(0.5)^6 (1-0.5)^{10-6}=0.205$

$P(X=7)=(10C7)(0.5)^7 (1-0.5)^{10-7}=0.117$

$P(X=8)=(10C8)(0.5)^8 (1-0.5)^{10-8}=0.0439$

$P(X=9)=(10C9)(0.5)^9 (1-0.5)^{10-9}=0.0098$

$P(X=10)=(10C10)(0.5)^{10} (1-0.5)^{10-10}=0.000977$

And adding the values we got:

$P(X\geq 6) = 0.377$

The best answer would be:

D. 0.377

Step-by-step explanation:

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=10, p=0.5)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

For this case in order to pass he needs to answer at leat 6 questions and we can rewrite this:

$P(X \geq 6) = P(X=6) +P(X=7) +P(X=8) +P(X=9) +P(X=10)$

And using the probability mass function we got:

$P(X=6)=(10C6)(0.5)^6 (1-0.5)^{10-6}=0.205$

$P(X=7)=(10C7)(0.5)^7 (1-0.5)^{10-7}=0.117$

$P(X=8)=(10C8)(0.5)^8 (1-0.5)^{10-8}=0.0439$

$P(X=9)=(10C9)(0.5)^9 (1-0.5)^{10-9}=0.0098$

$P(X=10)=(10C10)(0.5)^{10} (1-0.5)^{10-10}=0.000977$

And adding the values we got:

$P(X\geq 6) = 0.377$

The best answer would be:

D. 0.377

8 0

3 years ago

2/3 divide by 4/5? ​

2/3 divide by 4/5?