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2 years ago

What number must we multiply by $-\frac23$ to get a product of $\frac34$?

Mathematics

1 answer:

stich3 [128]2 years ago

7 0

Let x be unknown number. If number x is multiplied by $-\dfrac{2}{3}$ and the product is equal to $\dfrac{3}{4},$ then

$x\cdot \left(-\dfrac{2}{3}\right)=\dfrac{3}{4}.$

To find x you should divide $\dfrac{3}{4}$ by $-\dfrac{2}{3}:$

$x=\dfrac{\dfrac{3}{4}}{-\dfrac{2}{3}}=\dfrac{3}{4}\cdot \left(-\dfrac{3}{2}\right)=-\dfrac{3\cdot 3}{4\cdot 2}=-\dfrac{9}{8}.$

Answer: $x=-\dfrac{9}{8}$

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Can the sum of two mixed numbers be equal to two

inn [45]

No because mixed numbers need atleast a one and a fraction to be a mixed number. But if there was a fraction then it couldn't equal two, because of the 1's ❤️

7 0

2 years ago

Aiden borrows a book from a public library. He read a few pages on day one. On day two, he reads twice the number of pages than

Fofino [41]

Let the number of pages read on day 1 be = x

Then on day 2 he read twice the pages from day one, it is = 2x

On 3rd day he read 6 pages less than 1st day, it is = x-6

Total pages are = 458

The equation becomes: $x+2x+x-6=458$

$4x-6=458$

$4x=464$

$x=116$

So on the third day, Aiden read $x-6=116-6=110$ pages.

5 0

2 years ago

Each month a retail store awards a blue ribbon to its employee of the month. The probability that Chloe is the employee of the m

klasskru [66]

Answer:

37%

Step-by-step explanation:

6 0

2 years ago

Mia has 1/2 of a pizza. She divides it equally among 4 people. Which model shows the fraction of a whole pizza each person gets

Llana [10]

Each person gets $\frac{1}{8}$ of whole pizza

Solution:

Given that Mia has $\frac{1}{2}$ of a pizza

She divides it equally among 4 people

To find: Fraction of a whole pizza each person gets

From statement,

$\frac{1}{2}$ of pizza is divided equally among 4 people

Therefore, to find the fraction of whole pizza each person gets, we can divide the $\frac{1}{2}$ by 4 people

$\text{fraction each person gets } = \frac{\frac{1}{2}}{4}\\\\\text{fraction each person gets } = \frac{1}{2} \times \frac{1}{4}\\\\\text{fraction each person gets } = \frac{1}{8}$

Thus each person gets $\frac{1}{8}$ of whole pizza

3 0

2 years ago

Annabelle measures the sides of 15 right triangles and, based on her observations, she concludes that for any right triangle the

saul85 [17]

Answer: Annabelle is using the a measure of central tendency defined as the Mode.

Step-by-step explanation: A measure of central tendency in its simplest definition is a single value or measure that can safely be used to represent all members belonging to an entire set of given data. Hence, as a good illustration, one figure can be used to confidently represent all other ninety nine figures where a set of one hundred figures were given.

The mean, median and mode are commonly accepted measures of central tendency.

The mode is the most frequently occurring value in a given set of data. As such, the modal value is statistically acceptable as a representative of the entire set of values or data.

If Annabelle measures the sides of 15 right triangles and based on her observations, she concludes that for any right triangle the sum of the squares of the two legs is equal to the square of the hypotenuse, what she has done is taking the most frequently occurring value, and in her experiment, the most frequent of all observed data satisfies the Pythagorean Theorem.

That is why Annabelle can confidently make her assumption.

6 0

2 years ago