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ASHA 777 [7]
2 years ago
5

A patio set is on sale for 33% off. You have $815 saved. The retail price of the set is $1050. There is a 7% sales tax added. Wh

at is the final price of the patio set including all discounts and sales tax? Do you have enough money saved to purchase it?
Mathematics
1 answer:
Westkost [7]2 years ago
3 0

Answer:

Yes

Step-by-step explanation:

First you take off 33%, then add the sales tax, in this case the price with the discount is $703.50, the you multiply that by 1.07 and get your answer with tax and discount of $752.75 ( when you round up)

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The table shows the concentration of a reactant in the reaction mixture over a period of time.
saveliy_v [14]
<h3>Option C</h3><h3>The average rate of the reaction over the entire course of the reaction is: 2.0 \times 10^{-3}</h3>

<em><u>Solution:</u></em>

Average rate is the ratio of concentration change to the time taken for the change

Average\ rate = \frac{ \triangle c }{\triangle t }

The concentration of the reactants changes 1.8 M to 0.6 M

here, the time interval given is 0 to 580 sec

Therefore,

Average\ rate = \frac{1.8-0.6}{580} \\\\Average\ rate = \frac{1.2}{580} \\\\Average\ rate \approx 2.0 \times 10^{-3}

Thus option C is correct

5 0
2 years ago
The steps below show the work of a student used to calculate the number of yards in 804.5 meters.
Butoxors [25]

Answer:

see below

Step-by-step explanation:

804.5 meters. to yards

Step 1:

(1 mile = 1,609 meters)

(1 mile = 1,760 yards)

1,609 meters is being multiplied by conversion factor 1 mile over 804.5 meters equals 2 miles

 <u>1,609 meter </u>    x   <u>      1 mile       </u>   =   2 miles

                               804.5 meters                                        

Step 2:

(1 mile = 1,609 meters)

(1 mile = 1,760 yards)

2 miles is being multiplied by conversion factor 1760 yards over 1 mile equals 3,520 yards

2 miles   x <u>  1,760 yards </u>   =   3,520 yards

                        1 mile

no need of step 3.  the conversion  below should be on step 2.

to convert miles into yards.

(1 mile = 1,609 meters)

(1 mile = 1,760 yards)  

3 0
2 years ago
Find the value of z such that 0.9722 of the area lies between −z and z. Round your answer to two decimal places.
Amiraneli [1.4K]

Answer:

-2.20 < z < 2.20

Step-by-step explanation:

You are saying the entire area = 0.9722

so    1 - 0.9722 = 0.0278

then  we want it to fit in the middle of the normal curve with center 0

so...

0.0278/2 =0.0139  this corresponds to 2.20  on the z-score chart

7 0
2 years ago
Joanie is organizing her closet. She has 3 times as many black shirts as gray shirts, plus 3 new black shirts she just bought. S
marin [14]

Answer:

Option A. 2

Step-by-step explanation:

To solve this problem we can write equations for each shirt color.

Let's call:

b = black shirts

g = gray shirts

w = white shirts

B = brown shirts

If you have 3 times more black shirts than gray shirts and buy 3 more black shirts then:

b = 3g +3     (i)

If you have 5 times more white shirts than gray shirts and gave a white shirt then:

w = 5g -1      (ii)

It has 2 times more gray shirts than brown camsas, then:

g = 2B         (iii)

It has the same amount of black and white shirts

b = w            (iv)

We want to find the number of gray shirts.

Then replace (iv) in (ii)

b = 5g -1        (v)

Now substitute (v) into (i) and clear g.

5g -1 = 3g +3\\\\5g -3g = 3 +1\\\\2g = 4\\\\g = 2

Joan has 2 gray shirts

5 0
2 years ago
Lin knows that there are 4 quarts in a gallon. She wants to convert 6 quarts to a gallon, but cannot decide if she should multip
defon

Given:

There are 4 quarts in a gallon.

She wants to convert 6 quarts to a gallon.

To find:

Whether she should multiply 6 by 4 or divide 6 by 4 to find her answer.

Solution:

We have,

4\text{ quarts}=1\text{ gallon}

1\text{ quarts}=\dfrac{1}{4}\text{ gallon}

6\text{ quarts}=\dfrac{6}{4}\text{ gallon}

Here, 6 quarts is equal to \dfrac{6}{4} gallon. It means we need to multiply 6 by 4 in 4\text{ quarts}=1\text{ gallon} to find the answer.

5 0
2 years ago
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