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WITCHER [35]
3 years ago
13

U Listen

Mathematics
1 answer:
Elena L [17]3 years ago
4 0

Answer:

6

Step-by-step explanation:

60 mins ÷5= 12. 12 x2=24

60 mins ÷6=10. 10x3=30

30-24=6

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Simplify the given expression below: (7-3i)•(2-i)
Dimas [21]

when multiplying two binomials together we use the F.O.I.L. method:

First

Outer

Inner

Last

(7-3i)(2-i)

First: 7 * 2 ..... Outter: 7 * -i .... Inner: -3i * 2 ...... Last: -3i * -i

First: 14 ...... Outter= -7i ..... Inner: -6i .... Last: 3i^2

putting this together we get 14-7i-6i+2i^2

We combine like terms and end up with 2i^2-13i+14

5 0
3 years ago
There are 45 students who play a woodwind instrument in the school band. Of these, 18 play the saxophone. What percent of these
Mashutka [201]

Answer:

40% students play the saxophone.

Step-by-step explanation:

Given:

Total Number of students who play woodwind instrument = 45

Number of students who play saxophone = 18

We need to find the percent of students who play saxophone.

Solution:

Now we can say that;

To find the percent of students who play saxophone we will divide Number of students who play saxophone by Total Number of students who play woodwind instrument and the multiply by 100.

framing in equation form we get;

percent of students who play saxophone = \frac{18}{45}\times100= 40\%

Hence 40% students play the saxophone.

3 0
3 years ago
David found and factored out the GCF of the polynomial 80b4 – 32b2c3 + 48b4c. His work is below. GFC of 80, 32, and 48: 16 GCF o
BlackZzzverrR [31]

Answer: The correct statements are

The GCF of the coefficients is correct.

The variable c is not common to all terms, so a power of c should not have been factored out.

David applied the distributive property.

Step-by-step explanation:

GCF = Greatest common factor

1) GCF of coefficients : (80,32,48)

80 = 2 × 2 × 2 × 2 × 5

32 = 2 × 2 × 2 × 2 × 2

48 = 2 × 2 × 2 × 2 × 3

GCF of coefficients : (80,32,48) is 16.

2) GCF of variables :(b^4,b^2,b^4)

b^4= b × b × b × b

b^2 = b × b

b^4 =b × b × b × b

GCF of variables :(b^4,b^2,b^4) is b^2

3) GCF of c^3 and c: c is not the GCF of the polynomial. The variable c is not common to all terms, so a power of c should not have been factored out.

4) 80b^4-32b^2c^3+48b^4c

=16b^2(5b^2-2c^3+3b^2c)

David applied the distributive property.

7 0
3 years ago
Read 3 more answers
The price of a new car is $42,500. If the sales tax rate is 6%, what is the total cost for the car including tax?
ozzi

Answer: $45,050

Step-by-step explanation:

First we multipy 0.06 (6%) by 42,500

$42,500 * 0.06 = $2550

This is the tax that must be applied to $42,500

Now all we need to do is add $2,550to $42,500 and we get:

$42,500 + $2,550 = $45,050

7 0
3 years ago
Calculate the probability of flipping a coin 20 times and getting 4 heads. Round your answer to the nearest ten thousandth.
lorasvet [3.4K]

Answer:

0.0046

Step-by-step explanation:

5 0
3 years ago
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