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babymother [125]
3 years ago
5

sam gets 15 vacation days each year. By june 1st, sam had used 6 of his vacation days. what fraction on the year's total did he

use so far?
Mathematics
1 answer:
Mashcka [7]3 years ago
8 0

Answer:

Step-by-step explanation: put your fraction 6 over 15

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How can the distributive property be used to find 4 x 875? draw an array.
nika2105 [10]
Easy here
(4x800)+(4x70)+(4x5)
8 0
3 years ago
The junior and senior students at Mathville High School are going to present an exciting musical entitled, "Math, What is it Goo
xeze [42]

Some parts are missing in the queston. Find attached the picture with the complete question

Answer:

                   \large\boxed{\large\boxed{161}}

Explanation:

Let's put the information in a table step-by step.

                                                (number of remaining students)

                                                        Juniors          Seniors

Condition

  • Initially                                           J                     S
  • 15 seniors left                                                   S - 15
  • Twice juniors as seniors         2(S - 15)
  • 3/4 of the juniors left              1/4×2(S - 15)
  • 1/3 of seniors left                                             2/3×(S - 15)

At the end, there were 8 more seniors than juniors:

  • 2/3×(S - 15) -  1/4×2(S - 15) = 8

Now you have obtained one equation, which you can solve to find S, the number of senior students, and then the number of junior students.

Solve the equation:

2/3\times (S - 15) -  1/4\times 2(S - 15) = 8

  • Mutilply all by 12:

8(S - 15)-6(S - 15)=96

  • Distribution property:

8S-120-6S-90=96

  • Addtion property of equalities:

8S-6S=96+120+90

  • Add like terms:

2S=306

  • Division property of equalities:

S=306/2=153

That is the number of senior students that came out to the information meeting, but the number of students remaining to perform in the school musical is (from the table above):

2/3\times (S-15)+1/4\times 2(S-15)

Just substitute S with 153 fo find the number of students that remained to perfom in the musical:

          2/3\times (153-15)+1/4\times 2(153-15)\\ \\ 2/3(138)+1/2(138)

          161

5 0
3 years ago
The circumference of a globe is 16pi inches. what is the volume of the globe? show your work. use 3.14 for pi ​
docker41 [41]

Answer:

v=2144.66

Step-by-step explanation:

formula: 4/2 (pi) (r)³

................

3 0
2 years ago
Read 2 more answers
Simplify 3a + 4b + 5c + (-2a) + b
ad-work [718]

Answer:

<em> </em><em>a </em><em>+</em><em> </em><em>5</em><em>b</em><em> </em><em>+</em><em> </em><em>5</em><em>c</em>

Step-by-step explanation:

here's your solution

=> 3a + 4b + 5c +(-2a) + b

=> solve for like term

=> 3a - 2a + 4b + b + 5c

=> a + 5b + 5c

hope it helps

7 0
3 years ago
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Which of the following decimal numbers equals 4 thousands, 9 hundreds, 2 tens, and 6 ones?
Murljashka [212]

Answer:

4,296

Step-by-step explanation:

because 4 thousands = 4,000, 9 hundreds = 900, 2 tens = 20 and 6 ones= 6, 400 + 900 + 20 + 6 = 4,920

5 0
3 years ago
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