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Lostsunrise [7]
2 years ago
14

Eighty percent of one store’s customers paid with credit cards. Forty customers came in that day. How many customers paid for th

eir purchases with credit cards?
Mathematics
1 answer:
Yuri [45]2 years ago
3 0

Answer:

32

Step-by-step explanation:

40 = 100%

how many are 80% ?

well, 80% = 80× 1%

1% = 100% / 100

so, in our case

80% = 80×40/100 = 8×4 = 32

as a shortcut you consider a percentage x as a ratio factor of x/100 you multiply the 100% number with.

in our case

80% = 40 × 80/100 = 32

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Find the product of 2/3 and 9/10<br> 4 points
Solnce55 [7]

Answer:(2/3) + (9/10) = 47/30

= 1 17/30

Step-by-step explanation:

4 0
2 years ago
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Unsure how to do this calculus, the book isn't explaining it well. Thanks
krok68 [10]

One way to capture the domain of integration is with the set

D = \left\{(x,y) \mid 0 \le x \le 1 \text{ and } -x \le y \le 0\right\}

Then we can write the double integral as the iterated integral

\displaystyle \iint_D \cos(y+x) \, dA = \int_0^1 \int_{-x}^0 \cos(y+x) \, dy \, dx

Compute the integral with respect to y.

\displaystyle \int_{-x}^0 \cos(y+x) \, dy = \sin(y+x)\bigg|_{y=-x}^{y=0} = \sin(0+x) - \sin(-x+x) = \sin(x)

Compute the remaining integral.

\displaystyle \int_0^1 \sin(x) \, dx = -\cos(x) \bigg|_{x=0}^{x=1} = -\cos(1) + \cos(0) = \boxed{1 - \cos(1)}

We could also swap the order of integration variables by writing

D = \left\{(x,y) \mid -1 \le y \le 0 \text{ and } -y \le x \le 1\right\}

and

\displaystyle \iint_D \cos(y+x) \, dA = \int_{-1}^0 \int_{-y}^1 \cos(y+x) \, dx\, dy

and this would have led to the same result.

\displaystyle \int_{-y}^1 \cos(y+x) \, dx = \sin(y+x)\bigg|_{x=-y}^{x=1} = \sin(y+1) - \sin(y-y) = \sin(y+1)

\displaystyle \int_{-1}^0 \sin(y+1) \, dy = -\cos(y+1)\bigg|_{y=-1}^{y=0} = -\cos(0+1) + \cos(-1+1) = 1 - \cos(1)

7 0
1 year ago
Jana joined a music club that offered her 5 CDs for a total of 3.00 if she agreed to purchase an additional 10 CDs for 15.00 eac
Hunter-Best [27]

Answer:

Average price, excluding taxes, for each CD is <u>10.20</u>.

Step-by-step explanation:

Given:

Cost of first 5 CDs, C_1 = 3.00

Cost of each additional CD = 15.00

Now, cost of 10 additional CDs is the product of cost of one CD and total number of additional CDs. Therefore,

Cost of 10 additional CDs is, C_2=15.00\times 10=150.00

Now, total CDs purchased by Jana are, N=5+10=15

Total cost of the 15 CDs purchased is given as:

C_T=C_1+C_2=3.00+150.00=153.00

Now, average price, excluding taxes, for each CD is given as:

\textrm{Average price}=\frac{\textrm{Total cost of purchase}}{\textrm{Total number of CDs purchased}}\\\\\textrm{Average price}=\frac{C_T}{N}=\frac{153.00}{15}=10.20

Therefore, the average price, excluding taxes, for each CD is 10.20.

7 0
3 years ago
If a large sized pizza of diameter 35 cm is kept on a rectangular base of dimensions 50 cm x 60 cm. Find the area of the base ex
Yuki888 [10]

Answer:

2037.89

Step-by-step explanation:

The area of a circle is πr²

This means that the area of the pizza is π*17.5^2

This means that the area =962.11275016187

We then need to find the area of a rectangle which is shown throuhg lenght*width

50*60=3000

We then need to find out the area of the box excluding the pizza so we subtract the area of a pizza

so we have

3000-962.11275016187=2,037.88724983813

Round and get 2037.89

7 0
3 years ago
Line M is represented by the following equation:
Naily [24]

Step-by-step explanation:

c

if you divide the answer althrough by 2 you should get the above equation

5 0
3 years ago
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