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3 years ago

If (3a-5b) : (3a+5b)=1:4 then find the value of a:b

Mathematics

1 answer:

rodikova [14]3 years ago

5 0

Answer:

a : b = 25 : 9

Step-by-step explanation:

(3a - 5b) : (3a + 5b) = 1 : 4

Product of extremes = product of means

(3a - 5b) *4 = (3a +5b) * 1 {Distributive property}

3a * 4 - 5b*4 = 3a + 5b

12a - 20b = 3a + 5b

Add 20b to both sides

12a = 3a + 5b + 20b

12a = 3a + 25b

Subtract 3a from both sides

12a - 3a = 25b

9a = 25b

$\dfrac{a}{b}=\dfrac{25}{9}$

a:b = 25 : 9

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fiasKO [112]

You only need two numbers to do that.
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7 0

3 years ago

7. A person has $10,100 to invest in two different stock. Stock ABC costs $32 per share and pays dividends of $1.20 per share. S

Vesna [10]

Answer:

invested in ABC = $3200

Step-by-step explanation:

given data

total invest = $10,100

Stock ABC costs = $32 per share

dividends = $1.20 per share

Stock XYZ costs = $23 per share

dividends = $1.40 per share

earn a total dividends = $540

solution

we can say total money invest express as

total money invested = 32 × P + 23 × Q

here person buys stocks of ABC is P and buys stocks of stocks of XYZ is Q

$10,100 = 32 × P + 23 × Q

we can also write this as by multiply 3 both side

$30,300 = 96 × P + 69 × Q ......................1

and total dividends will be

total dividends = 1.2 × P +1.4 × Q

$540 = 1.2 × P +1.4 × Q

we can also write this as by multiply 80 both side

$43200 = 96 × P + 112 × Q ....................2

so from equation 1 and 2 , subtracting 1 from 2

we get

Q = 300

and P = 100

so that we invest 100 × 32

invested in ABC = $3200

6 0

3 years ago

A football team loses 15 yards on one play and gains 9 yards on another play. How many total yards did the team lose?

Licemer1 [7]

Answer:

-6

Step-by-step explanation:

imagine you're on a line graph you start at zero and then go backward 15 spaces and move forward 9 spaces where does that leave you

4 0

3 years ago

I seem to be confused can anyone please help

Genrish500 [490]

Use photo math :>some helpful info

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3 years ago

Can someone help me.

salantis [7]

Answer:

see explanation

Step-by-step explanation:

substitute the values of x in the table into g(x)

Using the rule of exponents

$a^{-m}$ = $\frac{1}{a^{m} }$

g(- 2) = $4^{-2}$ = $\frac{1}{4^{2} }$ = $\frac{1}{16}$

g(- 1) = $4^{-1}$ = $\frac{1}{4}$

g(0) = $4^{0}$ = 1

g(1) = $4^{1}$ = 4

g(2) = 4² = 16

8 0

3 years ago

Read 2 more answers

If (3a-5b) : (3a+5b)=1:4 then find the value of a:b​

If (3a-5b) : (3a+5b)=1:4 then find the value of a:b