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MariettaO [177]
3 years ago
7

• A rational number is such that when you multiply it by

Mathematics
1 answer:
Tatiana [17]3 years ago
7 0

Answer:

The number is -1/2.

Step-by-step explanation:

I am assuming they are fractions. So we have the equation:

5/2 x + 2/3 = -7/12

We multiply through by 12 to eliminate the fractions:

5/2 * 12 x + 2/3 * 12 = -7/12 * 12

30x + 8 = -7

30x = -15

x =  -15/30

x = -1/2.

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Emily, Jean, and Amanda live in apartments on the 5th, 6th and 7th floors. One girl likes basketball, one likes football, and th
ss7ja [257]

Answer:

Assuming you mean baseball in stead of basketball, if must be the 5th floor.

Step-by-step explanation:

"The girl on the fifth floor thinks soccer is boring" implies that on the 5th floor lives the football or baseball fan. However, it cannot be the football fan since it is already known that she lives on 6th.

So the baseball fan, which is Jean, lives on 5th.

3 0
4 years ago
At 8:00 A.M., Jackie starts at the north end of a 10-mile trail and begins walking south at an average speed of 2 mph. After a w
Tcecarenko [31]

Answer:

  • 3.08 miles

Step-by-step explanation:

  • Total distance = 10 miles
  • Total time = 2 hours
  • Distance walked = x
  • Speed walked = 2 mph
  • Distance cycled = 10 - x
  • Speed cycled = 15 mph

<u>Using the given data we can have the equation below to the time:</u>

  • x/2 + (10 - x)/15 = 2
  • 30x/2 + 30(10 - x)/15 = 30(2)
  • 15x + 20 - 2x = 60
  • 13x = 60 - 20
  • 13x = 40
  • x = 40/13
  • x = 3.08 miles <em>rounded to 2 decimal places</em>
7 0
3 years ago
Use the sum and difference identities to find the exact values of the sine, cosine, and tangent of the angle. . 165 = 135 + 30
Serhud [2]
So lets get to the problem 

<span>165°= 135° +30° </span>

<span>To make it easier I'm going to write the same thing like this </span>
<span>165°= 90° + 45°+30° </span>

<span>Sin165° </span>
<span>= Sin ( 90° + 45°+30° ) </span>
<span>= Cos( 45°+30° )..... (∵ Sin(90 + θ)=cosθ </span>
<span>= Cos45°Cos30° - Sin45°Sin30° </span>

<span>Cos165° </span>
<span>= Cos ( 90° + 45°+30° ) </span>
<span>= -Sin( 45°+30° )..... (∵Cos(90 + θ)=-Sinθ </span>
<span>= Sin45°Cos30° + Cos45°Sin30° </span>


<span>Tan165° </span>
<span>= Tan ( 90° + 45°+30° ) </span>
<span>= -Cot( 45°+30° )..... (∵Cot(90 + θ)=-Tanθ </span>
<span>= -1/tan(45°+30°) </span>
<span>= -[1-tan45°.Tan30°]/[tan45°+Tan30°] </span>

<span>Substitute the above values with the following... These should be memorized </span>
<span>Sin 30° = 1/2 </span>
<span>Cos 30° =[Sqrt(3)]/2 </span>
<span>Tan 30° = 1/[Sqrt(3)] </span>
<span>Sin45°=Cos45°=1/[Sqrt(2)] </span>
<span>Tan 45° = 1</span>
4 0
4 years ago
Find a consecutive odd numbers where the sum of the first three numbers is 15 greater then the final two numbers.
xenn [34]

Answer:

15, 17, 19

Step-by-step explanation:

x + x+2 + x+4 = 15 + (x+2 + x+4)

3x + 6 = 15 + 2x + 21

x = 15

x+2 = 17

x+4 = 19

4 0
3 years ago
Mason wants to buy some pull toys for his dogs. Each toy costs $3. He knows that 1 toy costs $3, 2 toys cost $6, and 3 toys cost
Ainat [17]
1 toy costs $3  (  $3 x 1 = $3)<span>
2 toys cost $6  ( </span> $3 x 2 = $6)<span>
3 toys cost $9  </span>(  $3 x 3 = $9)
4 toys cost $12 ( $3 x 4 = $12)

answer 4 toys will cost $12
5 0
3 years ago
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