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LenKa [72]
3 years ago
12

Find the multiplicative inverse of 2/3 * - 5/7​

Mathematics
1 answer:
boyakko [2]3 years ago
6 0

Answer:

-\frac{21}{10}   is the required multiplicative inverse.

Step-by-step explanation:

First of all simplify the given expression.

\frac{2}{3}\cdot \frac{-5}{7}=-\frac{2\cdot \:5}{3\cdot \:7}=-\frac{10}{21}

Multiplicative inverse of any number when multiplied gives 1.

The multiplicative inverse of  -\frac{10}{21}  is -\frac{21}{10}  because:

-\frac{10}{21}\times -\frac{21}{10}=1

Best Regards!

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Factor x^2 + 4x - 21
babymother [125]

Answer:

(x - 3)(x + 7)

Step-by-step explanation:

x^2 + 4x - 21

=> x^2 + 7x - 3x - 21

=> x(x + 7) -3(x + 7)

=> (x + 7)(x - 3)

5 0
3 years ago
Read 2 more answers
1) jayvion has 19.76 dollars,he then buys a few bags of chips for 1.79 dollars. How much does he have left?
Zinaida [17]

Answer:

1) I am not sure what a few bags mean

2)11-27.94 cm  8=21.59 cm

11 x2.54=27.94

8x2.54=21.59

3)17.52

4 students have the same profit so they will each keep their own money

Step-by-step explanation:


3 0
3 years ago
Explain what |-13| means and how to simplify.
poizon [28]

The two bars ( | | ) symbolize absolute value

Absolute value is essentially just making the number given positive.

If the given number is already positive then the absolute value is the same as the original number

|-13| is 13

The absolute value of -13 is 13

Hope this helped!

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4 0
3 years ago
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suppose that you have 3000$ to invest. which investment yields the greater return over a 10 year period: 8.04% compounded daily
Ksenya-84 [330]

Answer:  Option A: 8.04% compounded daily

<u>Step-by-step explanation:</u>

A = P\bigg(1+\dfrac{r}{n}\bigg)^{nt}\qquad where\\\\\bullet A = \text{accrued amount (principal plus interest earned)}\\\bullet P = \text{principal (amount invested)}\\\bullet r = \text{rate (in decimal form)}\\\bullet n=\text{number of times compounded in one year}\\\bullet t=\text{time (number of years)}\\\\\\Option\ A:\\A = \text{unknown}\\P=3000\\r=8.04\%\rightarrow 0.0804\\n=\text{daily}\rightarrow 365\\t=10\\\\A=3000\bigg(1+\dfrac{0.0804}{365}\bigg)^{365\times 10}\\\\.\ =\$ 6,702.79

Option\ B:\\A = \text{unknown}\\P=3000\\r=8.1\%\rightarrow 0.081\\n=\text{quarterly}\rightarrow 4\\t=10\\\\A=3000\bigg(1+\dfrac{0.081}{4}\bigg)^{4\times 10}\\\\.\ =\$ 6,689.37

Option A results in the greater amount of money.

7 0
3 years ago
Find the arc length of the semicircle. 7the grade
charle [14.2K]

so, is a semi-circle, half a circle, recall a circle has a total of 360°, so half of that will be 180°.

the diameter of that circle is 10, so its radius is half that, or 5.


\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ \theta =180\\ r=5 \end{cases}\implies s=\cfrac{(180)(\pi )(5)}{180}\implies s=5\pi \stackrel{\pi =3.14}{\implies s=15.7}

3 0
3 years ago
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