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olasank [31]
3 years ago
13

George worked on his science project for a total of 2 2/3 hours. He worked on it for 5/12 hour on Monday and 9/12 hour on Tuesda

y. He finished the project on Wednesday. How long did George work on his project on Wednesday?
Mathematics
1 answer:
dusya [7]3 years ago
7 0
The answer is 1 1/2. To find it you first add 9/12 and 5/12 which equals 14/12 then you make it a mixed fraction which is 1 2/12 which can simplify to 1 1/6. Next you make the denominator of 2/3 and 1/6 equal, so you multiply 2/3 by 2 and you get 4/6 so you now have 2 4/6 and 1 1/6, now you subtract them both which is 1 3/6 which simplified is 1 1/2
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What is the lcm of 5,10​
kap26 [50]

Answer:

Least common multiple (LCM) of 5 and 10 is 10.

6 0
3 years ago
Read 2 more answers
A dinner check is to be split among 3 people. Greg’s portion of the check is twice Kelly’s. Joe’s portion is $1.50 less than 4 t
defon

Answer:

Kelly owes $16.5

Greg owes $33

Joe owes $64.5

Step-by-step explanation:

Let

Kelly's portion = x

Greg's portion = 2x

Joe's portion = 4x - 1.50

Total bill = $114.00

Total bill = Kelly's portion + Greg's portion + Joe's portion

114 = x + 2x + (4x - 1.50)

114 = 3x + 4x - 1.50

114 = 7x - 1.50

Add 1.50 to both sides

114 + 1.50 = 7x - 1.50 + 1.50

115.5 = 7x

Divide both sides by 7

x = 115.5 / 7

= 16.5

x = $16.5

Kelly's portion = x

x = $16.5

Greg's portion = 2x

= 2 × 16.5

= $33

Joe's portion = 4x - 1.50

= 4(16.5) - 1.50

= 66 - 1.50

= $64.5

Therefore,

Kelly owes $16.5

Greg owes $33

Joe owes $64.5

7 0
3 years ago
Drag each label to the correct location on the table. Each label can be used more than once, but not all labels will be used.
Alborosie

Topic:

Multiplying Polynomials

Answer:

Polynomial 1:

  • Simplified Form: 6x^2 - x - 1
  • Name by Number of Terms: trinomial

Polynomial 2:

  • Name by Degree: linear
  • Name by Number of Terms: binomial

Polynomial 3:

  • Simplified Form: 2
  • Name by Degree: constant

Step-by-step explanation:

Polynomial 1:

(x-1/2)(6x+2)

6x^2 - 3x + 2x - 1

6x^2 - x - 1

It has 3 terms, so it's a <u>trinomial</u>.

Polynomial 2:

There is one term with x and x is raised to the first degree, so it's <u>linear</u>.

There are 2 terms, so it's a <u>binomial</u>.

Polynomial 3:

4(5x^2-9x+7)+2(-10x^2+18x-13)

20x^2 - 36x + 28 -20x^2 + 36x - 26

28 - 26

2

Since there are no variables and the answer is just 2, it's a <u>constant</u>.

Note: I took a test on this and it seemed to be all correct

3 0
2 years ago
Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively.
Vesna [10]

Answer:

b. an = 2 • (-3)^(n - 1)

Step-by-step explanation:

Before we test a solution or two, we can easily discard most of them.

We see the values alternate of signs (-5 for the 2nd term and +162 for the 5th term)... so the progression factor has to be negative (in order to alternate sign).  <u>That already excludes answers A and C.</u>

Normally, a geometric progression has the (n-1) exponent, not (n+1), so our chances seem to be better with B.

We can test both D and B with n = 2, to obtain -6

Let's test answer D before:

a_{2} = 2 * (-3)^{2+1} =  2 * (-3)^{3} = 2 * -27 = -54

The result is -54, not -6... so it's not the right result.

Let's test answer B then:

a_{2} = 2 * (-3)^{2-1} =  2 * (-3)^{1} = 2 * -3 = -6

Right!  Let's verify with n=5 to get 162:

a_{5} = 2 * (-3)^{5-1} =  2 * (-3)^{4} = 2 * 81 = 162

Confirmed, answer is B. an = 2 • (-3)^(n - 1)

3 0
3 years ago
Question 8
daser333 [38]

9514 1404 393

Answer:

  42.9 ft

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

where Opposite in this case is the height of the tree, and Adjacent is the distance to the tree.

  tan(47°) = height/(40 ft)

  height = (40 ft)·tan(47°) . . . . . multiply both sides by (40 ft)

  height ≈ 42.9 ft

The tree is about 42.9 feet tall.

7 0
3 years ago
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