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2 years ago

Which fraction is equivalent to 6/8. A.8/9. B.4/6. C.9/12. D.8/10

Mathematics

1 answer:

DaniilM [7]2 years ago

7 0

Answer:

Explanation:

6/8 simplifies to 3/4

3 × 3 = 9

4 × 3 = 12

Since they are both multiples of 3, it's equivalent to 6/8.

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Which equation represents the polar form of x² + (y + 4)² = 16?

Paraphin [41]

$x^2+y^2=r^2\hspace{5em}x=r\cos(\theta )\hspace{5em}y=r\sin(\theta ) \\\\[-0.35em] ~\dotfill\\\\ x^2+(y+4)^2=16\implies x^2+\stackrel{binomial~expansion}{y^2+8y+16}=16 \\\\\\ \underset{x^2+y^2}{r^2} + 8(~\underset{8y}{r\sin(\theta )}~)=16-16\implies r^2+8r\sin(\theta)=0 \\\\\\ r^2=-8r\sin(\theta )\implies \cfrac{r^2}{r}=-8\sin(\theta )\implies r=-8\sin(\theta )$

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1 year ago

Solve for 19= -3a -5

Vesnalui [34]

Answer:

a = -8

Step-by-step explanation:

19 = -3a - 5

Add 5 to both sides.

24 = -3a

Divide both sides by -3.

-8 = a

Switch sides.

a = -8

6 0

2 years ago

Read 2 more answers

In remodeling a kitchen, a builder decides to place a splash-guard behind the sink consisting of eight 6-inch-square ceramic til

oksano4ka [1.4K]

Answer:

(a) 0.4242

(b) 0.0707

Step-by-step explanation:

The total number of ways of selecting 8 herbs from 12 is

$\binom{12}{8}=495$

(a) If 2 herbs are selected, then there are 8 - 2 = 6 herbs to be selected from 12 - 8 = 10. The number of ways of the selection is then

$\binom{10}{6}= 210$

Note that this is the number of ways that both are included. We would have multiplied by 2! if any of them were to be included.

The probability = $\dfrac{210}{495}=0.4242$

(b) If 5 herbs are selected, then there are 8 - 5 = 3 herbs to be selected from 12 - 5 = 7. The number of ways of the selection is then

$\binom{7}{3}= 35$

This is the number of ways that both are included. We would have multiplied by 5! if any of them were to be included. In that case, our probability will exceed 1; this implies that certainly, at least, one of them is included.

The probability = $\dfrac{35}{495}=0.0707$

6 0

2 years ago

Write 12 ten thousands, 8 thousands,14 hundreds, 7 ones in standard form

Cloud [144]

The correct answer is: 
129,407.

Explanation: 
12 ten-thousands = 12*10000=120,000.
8 thousands = 8*1000=8000;
this gives us 120,000+8,000=128,000.

14 hundreds = 14*100=1400;
this gives us 128,000+1,400=129,400.

7 ones = 7*1=7;
this gives us 129,400+7=129,407.

7 0

3 years ago

Read 2 more answers

Why do many people think it is better to not receive a refund from the irs at the end of the year?

Monica [59]

Because the more years you go without receiving it the more it comes out to after you cash out. It starts to add up year by year :)

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3 years ago