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tiny-mole [99]
3 years ago
12

What is the answer for t?

Mathematics
1 answer:
kakasveta [241]3 years ago
3 0
4\3=2\3(t+7\3)
4\3=2\3t+14\9
4\3-14\9=2\3t
-2\9=2\3t multiply both sides by 3 to remove the denominator
-6\9=2t divide both sides by 2
answer=-1\3
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The ratio of men to women working for a company is 5 to 6. If there are 198 employees total, how many women work for the company
nignag [31]

Answer: 110 Women !

Step-by-step explanation:

Call their numbers 4x to 5x.

Since there are a total of 198 people,

4x + 5x = 198

9x = 198

x = 22

so that there are

88 men and 110 women.

5 0
2 years ago
Find the equation of the parabola with its focus at (6,2) and its directrix y = 0. Question 17 options: A) y = –1∕4(x – 6)2 + 1
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3 years ago
0&lt;2x&lt;4 solve for the given variable
Papessa [141]

Answer:

0 < x < 2

Step-by-step explanation:

0 < 2x < 4

Divide 2 into all the parts.

0/2 < 2x/2 < 4/2

The x variable should have no coefficient.

0 < x < 2

8 0
3 years ago
Leanne Raymond Montel and Emily body gift for their soccer coach the total cost of the gift including tax was $55.80 Montel paid
Flauer [41]

Solution: The total cost of the gift including the tax = $55.80

The amount paid by Montel = $14

The amount paid by Raymond is

\frac{1}{3} \times 55.80

18.6

Therefore, Raymond paid $18.6

The amount paid by Emily is

25% of 55.80

0.25 \times 55.80 = 13.95

Therefore, Emily paid $13.95

We also know that the remaining amount is paid by Leanne.

Therefore, the remaining amount is:

Total amount - Amount paid by Montel, Raymond and Emily

55.80 -(14+18.6+13.95)

55.80 - 46.55

9.25

The amount paid by Leanne is $9.25

We clearly see, Raymond has paid $18.6, which is the greatest part of the cost $55.80

7 0
3 years ago
the length of a rectangle is 5 inches longer than twice the width and the area is 12 inches squared. Let l represent the length
svet-max [94.6K]

Answer:

Length = 8 inch , Width = \frac{3}{2} , This equation models the situation

Step-by-step explanation:

Given as ;

The Area of Rectangle is 12 inches²

The Length of Rectangle is 5 inches longer than twice the width

Let The Length = L inches

      The Width   = W inches

According to question ,

L = 5 + (2 × w )

∵ The Area of Rectangle = Length × width

Or, 12  inches²  = [ 5 + (2 × w ) ] ×  w

Or,  12  inches² = 5 w +2 w²

Or,  2 w² + 5 w  - 12 = 0

Or,   2 w² + 8 w  -3 w - 12 = 0

Or,  2 w (w +4) - 3 (w + 4) = 0

I.e (w + 4) ( 2 w - 3) = 0

So ,  w = -4 , and w = \frac{3}{2}

∴  Length = 5 + (2 × w ) =

   Length = 5 + (2 ×\frac{3}{2}  )  

so ,  L = 5 + 3 = 8

Hence Length = 8 inch , Width = \frac{3}{2}   This equation models the situation Answer

3 0
3 years ago
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