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adell [148]
4 years ago
6

Bob is training for a race,Bob ran 14.6 miles away from his home,then Bob ran9.8miles toward his home, finally Bob ran 5.3miles

away from his home. How far is Bob from his home?
Mathematics
2 answers:
Step2247 [10]4 years ago
6 0

Answer:

The answer is 10.1 miles

miss Akunina [59]4 years ago
3 0
14.6-9.8+5.3=<span>10.1 miles</span>
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Simplify the expression<br> 4a<br> 6(a + b)<br> Enter the correct answer.<br> Someone help plz
shutvik [7]

Answer:

4 7 + 4 6

Explanation:

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Find two numbers that have a sum of -2 and a product of -48 (please show work if possible)​
andreev551 [17]

Answer: -8 and 6

Step-by-step explanation:

factors of 48: 1,2,4,6,8,12,24,48

1 x 48

2 x 24

4 x 12

6 x 8

for a negative product, one of the factors must be negative and the other positive.

for two number to have a sum of -2, the greater number must be the negative number, and both numbers should have be two values apart (ex. 6 and 8, 3 and 5, 12 and 14, etc.). In this case, 8 would have to be negative whereas 6 will be left positive.

and then we check:

-8 x 6 = 48

-8 + 6 = -2

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3 years ago
It takes 52 minutes for 5 people to paint 5 walls. How many minutes does it take 20 people to paint 20 walls?
Ainat [17]
It takes them 208 minutes to paint 20 walls.
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3 years ago
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an article sells for 415.80. You wish to discount it by 20%. at what price will you offer it after the discount
DENIUS [597]
$332.64
20% of 415.80 is 83.16
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3 years ago
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Which expression is a difference of cubes? 9w^33-y^12 18p^15-q^21 36a^22-b^16 64c^15- a^26
LiRa [457]

we know that

A polynomial in the form a^{3}-b^{3} is called adifference of cubes. Both terms must be a perfect cubes

Let's verify each case to determine the solution to the problem

<u>case A)</u> 9w^{33} -y^{12}

we know that

9=3^{2} ------> <u>the term is not a perfect cube</u>

w^{33}=(w^{11})^{3} ------> the term is a perfect cube

y^{12}=(y^{4})^{3} ------> the term is a perfect cube

therefore

The expression 9w^{33} -y^{12} is not a difference of cubes because the term 9 is not a perfect cube

<u>case B)</u> 18p^{15} -q^{21}  

we know that

18=2*3^{2} ------> <u>the term is not a perfect cube</u>

p^{15}=(p^{5})^{3} ------> the term is a perfect cube

q^{21}=(q^{7})^{3} ------> the term is a perfect cube

therefore

The expression 18p^{15} -q^{21} is not a difference of cubes because the term 18 is not a perfect cube

<u>case C)</u> 36a^{22} -b^{16}

we know that

36=2^{2}*3^{2} ------> <u>the term is not a perfect cube</u>

a^{22} ------>  <u>the term is not a perfect cube</u>

b^{16} ------> <u>the term is not a perfect cube</u>

therefore

The expression 36a^{22} -b^{16} is not a difference of cubes because all terms are not perfect cubes

<u>case D)</u> 64c^{15} -a^{26}

we know that

64=2^{6}=(2^{2})^{3} ------>  the term is a perfect cube

c^{15}=(c^{5})^{3} ------>   the term is a perfect cube

a^{26} ------> <u>the term is not a perfect cube</u>

therefore

The expression 64c^{15} -a^{26} is not a difference of cubes because the term a^{26} is not a perfect cube

I'm adding a new case so I can better explain the problem

<u>case E)</u> 64c^{15} -d^{27}

we know that

64=2^{6}=(2^{2})^{3} ------>  the term is a perfect cube

c^{15}=(c^{5})^{3} ------>   the term is a perfect cube

d^{27}=(d^{9})^{3} ------>  the term is a perfect cube

Substitute

64c^{15} -d^{27}=((2^{2})(c^{5}))^{3}-(d^{9})^{3}

therefore

The expression 64c^{15} -d^{27} is a difference of cubes because all terms are perfect cubes



5 0
3 years ago
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