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Grace [21]
3 years ago
7

Solve for X. -3/2(x-2)=45/14 Please show work.

Mathematics
2 answers:
ICE Princess25 [194]3 years ago
7 0

Answer:

-1/7

Step-by-step explanation:

-3/2(x-2)=45/14

x-2=(45/14)/(-3/2)

x-2=(45/14)(-2/3)

x-2=-90/42

simplify -90/42 into -15/7

x-2=-15/7

x=-15/7+2

x=-15/7+14/7

x=-1/7

Y_Kistochka [10]3 years ago
6 0
Exact Form:
x=-1/7

Decimal form:

-0.142857

Explanation:
You simplify both sides of the equation and then isolate the variable.
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Maddie biked 8 3/4 miles today, and Chase bikes 3 1/2 miles. How many times the length of Chase’s bike ride was Maddie’s bike ri
borishaifa [10]

Answer: 2.5 times

Step-by-step explanation:

Given : The length of Chase’s bike ride= 8\dfrac{3}{4}\ miles

The length of Maddie’s bike ride=3\dfrac{1}{2}\ miles

In improper fraction : Length of Chase’s bike ride=\dfrac{4(8)+3}{4}\ miles

=\dfrac{35}{4}\ miles

Similarly , Length of Maddie’s bike ride= \dfrac{7}{2}\ miles

The number of times the length of Chase’s bike ride was Maddie’s bike ride= \dfrac{\text{ Length of Chase’s bike ride}}{\text{ Length of Maddie’s bike ride}}

=\dfrac{\dfrac{35}{4}}{\dfrac{7}{2}}\\\\=\dfrac{5}{2}=2.5

Hence, the length of Chase’s bike ride was 2.5 times Maddie’s bike ride.

8 0
3 years ago
PLEASE HELP!!!!!!!!!<br> Make sure you show all your work for full points. What is o?
Pie

Answer:

  o = 54

Step-by-step explanation:

The angle sum theorem tells you the sum of angles in a triangle is 180°. The definition of a linear pair tells you the two angles of a linear pair total 180°. Together, these relations tell you that an exterior angle of a triangle is equal to the sum of the remote interior angles.

In this geometry, the angle marked 78° is exterior to the left-side triangle. That means ...

  78° = o° +24°

  o° = 78° -24° = 54°

The value of 'o' is 54.

__

<em>Additional comment</em>

n° is the supplement of 78°, so is 102°.

m° is the difference between 102° and 22°, so is 80°.

6 0
3 years ago
Read 2 more answers
Ms. Carter has 30 boxes of books. Half of the boxes have 25 books and the other half have 50 books. How many books does she have
Nikitich [7]
15 x 25 = 375
15 x 50 = 750

375 + 750 = 1,125

She has 1,125 books. 
5 0
4 years ago
Read 2 more answers
WILL GIVE BRAINLIEST - What is the length of the hypotenuse of the base?<br> *Picture linked below*
Citrus2011 [14]

Answer:

4sqrt(2) cm

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + 4^2 = c^2

32 = c^2

sqrt(32) = c

c = 4sqrt(2)

6 0
2 years ago
Read 2 more answers
A circle has a radius of 3. An arc in this circle has a central angle of 20°
Alla [95]

Answer:

The length of the arc is 1.0467

Step-by-step explanation:

First of all to solve this problem we need to use the circumferenc formula of a circle:

c = circumference

r = radius = 3

π = 3.14

c = 2π * r

we replace with the known values

c = 2 * 3.14 * 3

c = 18.84

The length of the circumference is 18.84

Now we have to divide the 20° by the 360​​° that a circle has, to know what part of the circle it represents

20° / 360° = 1/18

Now we multiply this fraction by the circumference and obtain the length of the arc

1/18 * 18.84 = 1.0467

The length of the arc is 1.0467

4 0
3 years ago
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