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IRINA_888 [86]
3 years ago
11

The difference of 1/2 of one number and 2/3 of another number is equal to 2. If the first number were to decrease by 5/6 of it,

and the second number were to increase by 1/6 of it, their sum would be equal to 59. Find the two numbers.
PLZ explain too.
Mathematics
1 answer:
Cerrena [4.2K]3 years ago
5 0
One of the numbers is 60

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Esther's company has been contracted to lay carpet in a room at a new observatory. The floor plan for the room is in the shape o
timofeeve [1]

Answer:

  • 3960 ft²

Step-by-step explanation:

The pentagon has been split into 5 congruent triangles.

<u>Each triangle has area of:</u>

  • 1/2*48*\sqrt{40.8^2 - (48/2)^2} = 24*\sqrt{1088.64} = 24*33 = 792 ft²

<u>The area of the room is:</u>

  • 792*5 = 3960 ft²

5 0
2 years ago
Which statement best explains the relationship between
-Dominant- [34]

Answer: They are not perpendicular because their slopes are  not negative reciprocals.

Step-by-step explanation:

For these two lines to be perpendicular, their slopes have to be negative reciprocals.

Slope of FG.

F = (-4, 1)

G = (0, -2)

= (Y₂ - Y₁) / (X₂ - X₁)

= (-2 - 1) / (0 + 4)

= -3/4

Slope of HJ

J = (0 , 4)

H = (-4, -2)

Slope =  (Y₂ - Y₁) / (X₂ - X₁)

= (-2 - 4) / (-4 -0)

= 6/4

= 3/2

<em>The slopes of these lines are not negative reciprocals so these lines are not perpendicular. </em>

4 0
3 years ago
Please help me still bad at ratio :)
Sholpan [36]

Answer:

111 grams

Step-by-step explanation:

fruit: yoghurt: total

2    : 3           :  2+3=5

The total mass is 185

Divide 185/5 = 37

Multiply each number by 37

fruit: yoghurt: total

2*37    : 3 *37  : 5*37

74            111         185

The mass of the yoghurt is 111

3 0
3 years ago
susie has a piece of cloth that is 3 yards long she cut it into shorter lengths of 16 inches each how many of the shorter pieces
Anna007 [38]
She can cut six pieces and will have ¾ of a piece leftover.
5 0
3 years ago
Read 2 more answers
34/23 as a decimal rounded to the nearest tenth
Ainat [17]

Answer:

1.5

Step-by-step explanation:

1.47826086

rounded to the nearest tenth is 1.5

4 0
3 years ago
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