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Ad libitum [116K]
3 years ago
13

How many dimes in 290

Mathematics
2 answers:
uranmaximum [27]3 years ago
6 0
$1 = 10 dimes
$290 = 2,900 dimes

Hope that helps :)
yarga [219]3 years ago
5 0
In $1, there are 10 dimes
In $290, there will be 2,900 dimes.
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Which of the following expressions is equivalent to a3 + b3?
lubasha [3.4K]
ANSWER
{a}^{3}  + {b}^{3} = (a + b)( {a}^{2 }  - ab +  {b}^{2} )


EXPLANATION

To find the expression that is equivalent to
{a}^{3}  + {b}^{3}
we must first expand
{(a + b)}^{3}
Then we rearrange to find the required expression.


So let's get started.


{(a + b)}^{3}  = (a + b) {(a + b)}^{2}

We expand the parenthesis on the right hand side to get,



{(a + b)}^{3}  = (a + b) ( {a}^{2} + 2ab +  {b}^{2}  )



We expand again to obtain,

{(a + b)}^{3}  =  {a}^{3}  + 3 {a}^{2}b + 3a {b}^{2}   +  {b}^{3}


Let us group the cubed terms on the right hand side to get,

{(a + b)}^{3}  =  {a}^{3}   +  {b}^{3}  + 3 {a}^{2}b + 3a {b}^{2}




{(a + b)}^{3}  =  {a}^{3}   +  {b}^{3}  + 3ab (a+ b)





We make the cubed terms the subject,

{(a + b)}^{3}  - 3ab (a+ b) =  {a}^{3}   +  {b}^{3}

We factor to get,


(a + b)({(a + b)}^{2}  - 3ab ) =  {a}^{3}   +  {b}^{3}


We expand the bracket on the left hand side to get,

(a + b)( {a}^{2}  + 2ab +  {b}^{2}   - 3ab ) =  {a}^{3}   +  {b}^{3}


We finally simplify to get,

(a + b)( {a}^{2}   - ab +  {b}^{2}  ) =  {a}^{3}   +  {b}^{3}
5 0
3 years ago
Read 2 more answers
What is the estimate answer and the exact answer of 17/10 ÷2 4/5
OLEGan [10]
Both 17/10 and 2 4/5 should be rounded up in preparation for this estimation.

17/10 is close to 2 and 2 4/5 is close to 3.  Thus, your estimated answer should be
                     2/3, or approx. 0.6666....

Exact answer:    divide 17/10 by 14/5.  LCD is 10, so convert 14/5 to 28/10.

Now divide 17/10 by 28/10.  Answer:  17/28 = approx.   =  0.607 approx.

These two results are comparable:   0.6666....  and 0.6071 ....
8 0
4 years ago
The number of employees for a certain company has been decreasing each year by 7​%. If the company currently has 790 employees a
Vikki [24]

Answer:

The number of employees in 8 years  is  442

Step-by-step explanation:

Given:

Decreasing rate = 7%

Current number of employees = 790

To Find:

The number of employees after 8 years is this same rate continues =?

Solution:

Let the number of employees after 8 years be x

The current number of employees is:

790(1-0.07)^0=790---------------------------------(1)

since the decrase rate is 7% we use 0.07

So after 8 years , eq (1) can be rewritten as

790(1-0.07)^8= x

790(0.93)^8= x

790 \times 0.5595= x

x= 442.005

x= 442 (approx)

6 0
3 years ago
What is the value of x in the equation below?
sveta [45]

Answer: C

Step-by-step explanation:

1+2e^x+1=9

2e^x+1=9-1

e^x+1= 8/2

e^x+1 = 4

Here we can applicate the Ln:

ln e^x+1 = ln 4

Applicating the log property for exponent:

(x+1).ln e = ln 4

Ln e = 1, so:

x+1 = ln 4

x = ln 4-1

7 0
3 years ago
There are 12 men and 24 women in a chorus. What percent of the entire chorus is composed of women?
kati45 [8]
About 66 percent.
Because 24/36 are women, keep simplifying that divide by 6, 4/6, divide by 2, 2/3 = 0.66 = 66%.
7 0
4 years ago
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