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3 years ago

9 batteries cost 13 dollars.It's ratios and Rates

Mathematics

2 answers:

denis23 [38]3 years ago

5 0

9 batteries and 13 dollars if you divide 13 by 9 you would get 1.4 repeating but there would be one battery to $1.44

8090 [49]3 years ago

4 0

One battery costs $1.44.

The unit rate would be
$\frac{1.44}{1 battery}$

To get that answer, you would have to divide 13 ÷ 9.

I'm not sure if this is what you were looking for, but if it was, I hope I helped! :-)

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Last year Lira earned $12,000 less than her husband Todd. Together they earned $75,000. How much did Lira earn last year?

nexus9112 [7]

Given:

Last year Lira earned $12,000 less than her husband Todd.

Together they earned $75,000.

To find:

The amount earned by Lira in last year.

Solution:

Let x be the amount earned by Lira's husband inn last year.

Last year Lira earned $12,000 less than her husband Todd.

Amount earned by Lira = $x-12000$

Total amount earned by Lira and her husband = $x+(x-12000)$

= $2x-12000$

Together they earned $75,000.

$2x-12000=75000$

$2x=75000+12000$

$2x=87000$

$x=\dfrac{87000}{2}$

$x=43500$

Now,

Amount earned by Lira = $x-12000$

= $43500-12000$

= $31500$

Therefore, the amount earned by Lira in last year is $31500.

6 0

3 years ago

2x^3-x^2+x-2 factorize

bekas [8.4K]

Answer:

$(x-1)(2x^2+x+2)$

Step-by-step explanation:

Factorize:

$f(x)=2x^3-x^2+x-2$

<u>Factor Theorem</u>

If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).

Substitute x = 1 into the function:

$\implies f(1)=2(1)^3-1^2+1-2=0$

Therefore, (x - 1) is a factor.

As the polynomial is cubic:

$\implies f(x)=(x-1)(ax^2+bx+c)$

Expanding the brackets:

$\implies f(x)=ax^3+bx^2+cx-ax^2-bx-c$

$\implies f(x)=ax^3+(b-a)x^2+(c-b)x-c$

Comparing coefficients with the original polynomial:

$\implies ax^3=2x^3 \implies a=2$

$\implies (b-a)x^2=-x^2 \implies b-2=-1 \implies b=1$

$\implies -c=-2 \implies c=2$

Therefore:

$\implies f(x)=(x-1)(2x^2+x+2)$

Cannot be factored any further.

4 0

2 years ago

Read 2 more answers

a mother is five times old as her daughter. in 6 years, the mother will be three times as old as her daughter. how old is each n

Westkost [7]

Answer:

30,6

Step-by-step explanation:

4 0

2 years ago

Answer this 2(3^2 + 4^2) = ?

Vikentia [17]

Answer:

Step-by-step explanation:

2(3^2+4^2)=

3^2/(3x3) = 9

4^2/(4x4) = 16

9+16=25

so.... rewritten it is

2(25)= or 2 x 25= 50

6 0

3 years ago

Jane paid 40$ for an item after

ad-work [718]

Answer:

after what.................. ???

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3 years ago