Find the area of the figure. Round to the nearest hundredth if necessary

Shauna spent $175 on a pair of shoes.She spent 1/9 of the remaining money on a shirt.If he still had 4/7of his moneyleft,how muc

KIM [24]

Answer:

$490

Step-by-step explanation:

Shauna spent $175 on a pair of shoes.

She spent 1/9 of the remaining money on a shirt.

If he still had 4/7 of his money left,how much did he have at first ?

Solution:

Let at first, Shauna have = $x$

Money spent on a pair of shoes = $175

Remaining money = $x-175$

As she spent 1/9 of the remaining money on a shirt.

Money spent on shirt = $\frac{1}{9} \times(x-175)=\frac{x}{9} -\frac{175}{9}$

As he still had $\frac{4}{7}$ of his money left:-

Money left = $\frac{4}{7}\ of\ his\ money=\frac{4x}{7}$

Money left with Shauna = Total money, she had at first -(Money spent on a pair of shoes + Money spent on shirt )

$\frac{4x}{7} =x-(175+{\frac{x}{9} -\frac{175}{9} )\\\\\\$

$\frac{4x}{7} =x-(\frac{175}{1} -\frac{175}{9} +\frac{x}{9} )\\\\ \frac{4x}{7} =x-(\frac{1575-175}{9} +\frac{x}{9} )\\\\ \frac{4x}{7}=x-(\frac{1400}{9} +\frac{x}{9} )\\ \\ \frac{4x}{7}=x-\frac{1400}{9} -\frac{x}{9}$

Subtracting both sides by $x$ and adding both sides by $\frac{x}{9}$

$\frac{4x}{7} -x+\frac{x}{9} =-\frac{1400}{9} -x+\frac{x}{9} +x-\frac{x}{9}$

Taking LCM of 7 and 9, we get 63

$\frac{36x-63x+7x}{63} =-\frac{1400}{9} \\ \\ -\frac{20x}{63}=-\frac{1400}{9}$

Adding both side by -

$\frac{36x-63x+7x}{63} =-\frac{1400}{9} \\ \\ \frac{20x}{63}=\frac{1400}{9}$

By cross multiplication:

$20x\times9=1400\times63\\180x=88200\\$

Dividing both sides by 180

$x=490$

Therefore, total $490, she had at first.

3 0

3 years ago

if 36 cookies cost $4.00 what is the unit rate in cookies per dollar. Using the same information what is the unit rate for 1 coo

pogonyaev

Answer:

9 cookies per dollar

Step-by-step explanation:

This is a fraction equal to

36 cookies ÷ 4 dollars

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 4

36 cookies ÷ 4

--------------------------

4 dollars ÷ 4

=

9 cookies

---------------

1 dollar

=

9 cookies

-----------------

dollar

= 9 cookies per dollar

3 0

3 years ago

What integers fall between the square root of 12

Dafna1 [17]

The square root of 12 is 3.4.
Your integers are 3 and 4.
I hope this helps!

7 0

3 years ago

What is the leading coefficient of the polynomial? 7x + 5x2 − 9x3 − 10

expeople1 [14]

Answer:

The leading coefficient of the polynomial is -9.

Step-by-step explanation:

9 is the leading coefficient of this polynomial because if you rearrange the exponents from greatest to least, you will get this :

-9x3 + 5x2 + 7x -10

Your leading coefficient is the number included with your degree or highest exponent.

3 0

3 years ago

Determine whether the following possible responses should be classified as nominal, ordinal, interval or ratio scale. Would your

anygoal [31]

Answer:

Nominal, Ordinal, interval or Ratio scale, Nominal.

Step-by-step explanation:

In Statistics, we can assort qualitative variables as nominal, for non-numerical values (Good, Yes, Man, Woman, Excellent, Tall, etc.). For numerical ones, we can rank them orderly, id est, ordinal (1st, 2nd, 3rd, 4th, etc.). Moreover, we can also categorize some numerical variables as an interval or ratio scale (90º F, 6' 2'' etc.).

Examining each one:

1. Would your overall rating of this tour be excellent, good, fair, or poor? Nominal.

These are not numerical. These are qualitative classification.

2. How many escorted vacations have you taken prior to this one?

Ordinal. The 1st, 2nd, 3rd, etc.

3. What is the current temperature outside? Interval or Ratio Scale

This is a classic Interval classification example. Since the temperature is graded in intervals then this an Interval.

4. Do you feel that the stay in New York was sufficiently long? Nominal.

Another non-numerical classification

3 0

3 years ago