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kumpel [21]
3 years ago
15

Please solve this question and show your work! Thank you!

Mathematics
1 answer:
NARA [144]3 years ago
7 0

Answer:

u2

Step-by-step explanation:

So we have the equation:

-3|2-4u|+5

First, subtract -5 from both sides:

-3|2-4u|

Divide both sides by -3. Since we are dividing by a negative, we will flip the sign:

|2-4u|>6

Definition of absolute value:

2-4u>6\text{ or } 2-4u

Note that we flip the sign on the right because we multiplied 6 by a negative.

On both the left and right, subtract 2:

-4u>4\text{ or } -4u

Divide both equations by -4. Since we're dividing by a negative, flip the signs:

u2

So, our final solution is:

u2

And we're done!

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A rectangular piece of wood is 12 centimeters longer than it is wide. A strip 1 centimeter wide is cut off all around. This decr
denis-greek [22]

Answer:

Length 37 cm, width 25 cm.

Step-by-step explanation:

Let the original dimensions be length x and width x - 12 cms.

The new dimensions will be length (x - 2) and width (x - 12 - 2) = x-14 cm.

So , from the areas, we have:

x(x - 12) - (x - 2)(x - 14) = 120

x^2 - 12x  - (x^2 - 16x + 28) = 120

-12x + 16x - 28 = 120

4x = 148

x = 37 cms

So the length was 37 cm and the width was 37-12 = 25 cm.

7 0
3 years ago
In a survey, 540 people, or 80%, said they attended a movie at least once a month. How many people were surveyed?
Deffense [45]
X = total amount of people

80% of x = 540
.8x = 540
x = 675

There were 675 people
8 0
3 years ago
Y + 1 = -7(x+1) write an equation in slope intercept form
elena-14-01-66 [18.8K]
In slope intercept form this would be equal to y=-7x-8. (remember the 7 is negative!)
3 0
3 years ago
Read 2 more answers
If arc VY = 132° and ∠YUV = 41°, what is the measure of arc XV?
Tom [10]

Answer:

50

Step-by-step explanation:

Use this equation

\frac{b - a}{2}  = angle \: yuv

where b is arc VY, A is arc XV.

Substitute the equation in

\frac{132 - a}{2}  = 41

132 - a = 82

- a =  - 50

a = 50

so our arc measure is 50

5 0
2 years ago
Joy Co. allocates overhead expenses to all departments on the basis of floor space (sq. ft.) occupied by each department. This y
salantis [7]
The ratio between the departments is

A: B: C
15000 : 18000 : 9000
15 : 18 : 9
5 : 6 : 3

The budget needs to be divided into 5+6+3 = 14 parts
The budget for one part is 22000/14

The budget for department B is \frac{22000}{14}*6=9428.571428
Rounded to the nearest dollar, the budget is $9429
7 0
3 years ago
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