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garri49 [273]
3 years ago
7

1/6(x-5)=1/2(x+6) what is the solution to this equation

Mathematics
2 answers:
Alisiya [41]3 years ago
5 0

Step-by-step explanation:

1/6×-5/6=1/2×+3

cross multiply

6(×+3)=2(×-5)

6x+18=2×-10

group like terms

6x-2×=-10-18

4×=-28

×=7

Alexandra [31]3 years ago
3 0

Answer:

Exact Form:

x= -23/2

Decimal:

x= -11.5

Mixed Number:

x= -11/2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

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What is the probability of you getting no heads at all for tossing a fair coin three times? (6.25 points)?
Vlad1618 [11]
1/2 * 1/2 *1/2 = 1/8
5 0
3 years ago
True or false. <br> -5+ ( -3 +( -8) = -5 + ( - 3 + 8 )
ivanzaharov [21]

False:

-5 + -3 + (-8) = -16

-5 + -3 + 8 = 0

hope this helps

8 0
4 years ago
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Peter has decided to save $30 each week to buy a new stereo system.Write a direct variation equation for the amount of money, m,
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3 years ago
A park has a 3m tall tetherball pole, and a 6.8m tall flagpole. The lengths of their shadows are proportional to their heights.
vlada-n [284]

Complete question is;

A park has a 3 meter tall tether ball pole and a 6.8 m tall flagpole. The lengths of their shadows are proportional to their heights.

Which of the following could be the lengths of the shadows?

Choose 2 answers from the options attached.

Answer:

Options B & D

Step-by-step explanation:

From the question, the proportional relationship between the height and shadow length is a direct proportionality. This means that an increase in the height, leads to an increase in the length of shadow and vice versa. Thus, the height to shadow length ratio is a constant.

Now, if we use x and y to denote length of shadow of tether ball pole and length of flagpole receptively, we will have;

3/x = 6.8/y

Let's make y the subject.

y = 6.8x/3

Looking at the options;

Option A: When x = 1.35 m, we have;

y = (6.8 × 1.35)/3 = 3.06 m

For Option B:

When x = 1.8 m,

y= (6.8 × 1.8)/3 = 4.08 m

For Option C:

When x= 3.75 m,

y = (6.8 × 3.75)/3 = 8.5 m

For option D:

When x = 0.6

y = (6.8 × 0.6)/3 = 1.36 m

For option E;

When x = 2,

y = (6.8 × 2)/3 = 4.533 m

From our calculations, the only values of y that correspond with the given value of y in the options are Options B & D

5 0
3 years ago
In a right angled triangle, the two sides forming a right angle measure 8cm and 6cm. Area of this triangle is
Solnce55 [7]
<h3>Answer:  24 square cm</h3>

Work Shown:

base = 8, height = 6

area = (1/2)*base*height

area = (1/2)*8*6

area = 0.5*8*6

area = 4*6

area = 24

5 0
3 years ago
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