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3 years ago

The ratio of boys to girls in a class is 4:5

Mathematics

2 answers:

mestny [16]3 years ago

6 0

Answer:

4/9 5/9

Step-by-step explanation:

Dimas [21]3 years ago

5 0

Answer:

Boys = 4/9

Girls = 5/9

Step-by-step explanation:

You add the ratio parts to find what the fraction is over.

5 + 4 = 9

Then you just need to know which part is boys and which is girls.

Boys to Girls = 4:5

Therefore Boys = 4/9 and Girls = 5/9.

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Calculate the sum of the infinite series

andriy [413]

ANSWER

$S_ \infty = \frac{40}{3}$

EXPLANATION

The given series is

$20-10+5-...$

The first term of the series is,

$a_1=20$

The common ratio of this series is,

$r = \frac{ - 10}{20}$

This simplifies to,

$r = - \frac{1}{2}$

The sum to infinity of this sequence is given by the formula,

$S_ \infty = \frac{a_1}{1-r}$

We substitute the above values into the formula to obtain,

$S_ \infty = \frac{20}{1- - \frac{1}{2} }$

This simplifies to,

$S_ \infty = \frac{20}{1 + \frac{1}{2} }$

We simplify the denominator to get,

$S_ \infty = \frac{20}{ \frac{3}{2} }$

This will finally give us,

$S_ \infty =20 \times \frac{2}{3}$

$S_ \infty = \frac{40}{3}$

The correct answer is A.

5 0

4 years ago

Read 2 more answers

a bicycle has a listed price of $821.95 before tax. if the sales tax rate is 6.5%, find the total cost of the bicycle with sales

BlackZzzverrR [31]

Answer:

$875.39

Step-by-step explanation:

1) Divide the tax rate (6.500%) by 100 to get a decimal rate of 0.06500.

2) Multiply the purchase price ($821.95) by the 0.06500 to get a sales tax amount of $53.43.

3) Add the $53.43 sales tax to the $821.95 price to get a total of $875.38.

4) Round $875.38

3 0

3 years ago

Solve the equation for all values of x.<br> (22 – 16)(x2 + 49) = 0<br> Please help

Mila [183]

Answer:

-24.5 or 7i or -71 (see below)

Step-by-step explanation:

Im gonna guess that you mean (22-16)(2x+49)=0

Therefore, since one of the brackets must be equal to 0 and 22-16 is 6, 2x+49=0 so x is -24.5

However, if you meant (22-16)(x^2+49)=0

then x^2+49=0 so x^2 =-49

Therefore, the answer is complex and therefore 7i or -7i

6 0

3 years ago

Sorry for the bad quality.

ser-zykov [4K]

Answer:

B and C

Step-by-step explanation:

8 0

3 years ago

Select all that are undefined csc(pi) cot(pi/2) cot(pi) sec(45 degrees) csc(0 degrees) sec(90 degrees)

lorasvet [3.4K]

Answer:

Csc(pi)

Cot(pi)

Csc(0)

Sec(90)

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers