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katrin [286]
2 years ago
13

What is the value of q in the equation 5q-10=75

Mathematics
1 answer:
Alex2 years ago
5 0

Answer:

q=17

Step-by-step explanation:

5q-10=75

add 10 to both sides to cancel out -10 on the left side

5q-10+10=75+10

5q=85

divide both sides by 5 to get rid of the 5 in 5q

5q/5=85/5

resulting in:

q=17

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(6^4 x 2^-9)

Step-by-step explanation:

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13. In the triangle below, the sides have length x + 3, 3x - 1. and 4x. Determine the range of possible
11Alexandr11 [23.1K]

Answer:

Hence as long as x > 2/3, we can form a triangle from the three given sides.

Step-by-step explanation:

Given:

Length of 3 sides of triangle are x+3, 4x,3x-1

Solution:

From the length of the 2nd side 4x, we know that x > 0

Let this be 1 st statement.

Now from the triangle inequality we can say that;

x + 3 + 4x > 3x -1\\5x+3>3x-1\\5x-3x>-1-3\\2x>-2\\x>-1

No new information from this because of the 1st statement above.

Also,  

4x + 3x - 1 > x +3\\7x-1>x+3\\7x-x>3+1\\6x>4\\x>\frac{4}{6}\\\\x>\frac{2}{3}

Lastly,

x+3 +3x - 1 > 4x\\4x-2>4x\\4x-4x>2\\0>2

and again no new information is obtained from this inequality.

Hence as long as x > 2/3, we can form a triangle from the three given sides.

7 0
3 years ago
Theodore says there are 2 weeks 5 days left in the year. How many days are left in the year?​
Slav-nsk [51]

Answer:

19 days

Step-by-step explanation:

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8 0
2 years ago
Read 2 more answers
Your teacher has disabled instant marking Your marks will appear after the due date.
Nastasia [14]
3 Your teacher has disabled instant marking. Your
marks will appear after the due date.
To the nearest pound, Tim has £8
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4 0
2 years ago
Ming wrote the table of points below.
anzhelika [568]

Answer:

Ming has described a proportional relationship because the ordered pairs are linear and the line passes through the origin

Step-by-step explanation:

Given

x - y

5 - 10

10 - 20

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Required

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The dataset is small; so, we can derive the relationship by observation.

By observing the x and y values, the relationship is:

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This is further proven by:

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y = 2 * 0 = 0 --- the origin

Hence, the dataset is proportional and it passes through the origin.

7 0
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