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2 years ago

Which value for x makes the sentence true? 2/3x=8/9

Mathematics

1 answer:

9966 [12]2 years ago

3 0

Answer: D

Step-by-step explanation:

The goal is to isolate 'x'. If you apply an operation to both sides of an equation, it does not change the equality. If you multiply both sides of the equation by 3/2, then the 2/3 on the left-side will cancel leaving the following:

$x=\frac{8}{9} *\frac{3}{2}$

When multiplying fractions, you simply multiply through and through. Therefore the above equation becomes:

$x=\frac{24}{18}$

The fraction can be simplified by dividing the top and bottom by 6, to get

$x=\frac{4}{3}$

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A shipment of 40 fancy calculators contains 3 defective units. What is the probability if a college bookstore buys 20 calculator

JulsSmile [24]

Answer:

38.46%

Step-by-step explanation:

There are no names or marking that can make the calculator look different, so the order is not important. Then we should use a combination to solve this problem.

There are 40 calculators in one shipment, 37 of them good items and 3 of them are defect items. We need to choose 19 good calculators and 1 defect calculator. The number of ways to do that will be:

$\frac{37}{19}$ * $\frac{3}{1}$ = 37! $\frac{37!}{19!(37-19!)} * \frac{3!}{1!(3-1)!}$ = 53017895700

The number of possible ways to choose 20 calculators out of 40 calculators will be:

$\frac{40}{20}$ = $\frac{40!}{20!(40-20!)}$ =137846528820

The chance will be: 53017895700/ 137846528820 = 0.3846= 38.46%

4 0

3 years ago

Toucans and blue-and-yellow macaws are both tropical birds. The length of the toucan in the picture to the right is about

Sliva [168]

Answer:

14.67 in. long

Step-by-step explanation:

8 0

2 years ago

A one-terabyte external hard drive is on sale at a 25% discount. If the original price was $347, what is the sale price?

Mkey [24]

Answer:

$ 260.25

Step-by-step explanation:

$ 347 multiply by 25% or 0.25

You get $ 86.75

Take $347 - $86.75 = $ 260.25

6 0

2 years ago

the length of diagonal of a rectangular field is 23.7 m and one of its sides is 18.8 m. find the perimeter of the field.

katen-ka-za [31]

Answer:

Approximately 66.4 Meters

Step-by-step explanation:

So we have a rectangle with a width of 18.8 meters and a diagonal with 23.7 meters. To find the perimeter, we need to find the length first. Since a rectangle has four right angles, we can use the Pythagorean Theorem, where the diagonal is the hypotenuse.

$a^2+b^2=c^2$