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kodGreya [7K]
3 years ago
6

Given: 8x-61=17, prove: 39/4

Mathematics
1 answer:
Degger [83]3 years ago
8 0

Answer:

The solution is x = \frac{39}{4}

Step-by-step explanation:

We are given the following equation:

8x - 61 = 17

We want to find the solution, that is, the value of x. So

8x - 61 = 17

8x = 78

x = \frac{78}{8}

Simplifying by 2

x = \frac{39}{4}

The solution is x = \frac{39}{4}

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Which inequality represents the values of x that ensure triangle ABC exists? a triangle with side lengths of 6.5 units, 3.5 unit
nikdorinn [45]

Answer:

1 < x < 7.5

Step-by-step explanation:

This problem can be solved using given below property of triangle.

Sum of two sides is always greater than third side of triangle.

Difference of two sides is always lesser than third side of triangle.

_______________________________________________

Given

sides length

6.5 units

3.5 units

Third side is 2.5 +  x

using the property, Sum of two sides is always greater than third side of triangle.

6.5 + 3.5 > 2.5 +x

=>10 >2.5 + x

=>2.5 + x< 10

=> x< 10 -2.5

=> x < 7.5

using the property, Difference of two sides is always lesser than third side of triangle.

6.5 - 3.5 >  2.5 +x

=>3.5 >  2.5 +x

=> 2.5 +x  > 3.5

=> x  > 3.5 - 2.5

=> x  > 1

combining both we have

1 < x < 7.5

out of the given option none is 1 < x < 7.5

hence, correct answer will be 1 < x < 7.5 and wrong option can be claimed by student.

8 0
3 years ago
Read 2 more answers
9/5 - (-2 7/10) and write it as a fraction and simplest form
mars1129 [50]

Answer:

probably 4.5 if im not mistaking

5 0
3 years ago
Read 2 more answers
Help help help please
myrzilka [38]
100035 because the numbers are all even and i am in first grade so yeah
7 0
3 years ago
Derek saves 10% of his paycheck each week to buy a mountain bike the mountain bike costs 340.00 Derek receives a paycheck in the
katrin2010 [14]

Answer: 13 weeks

Step-by-step explanation:

First you have to find 10% of 340.00 which is 28, so each week he saves 28.00 for his bike. To find how many paychecks he has to recieve you divide 340.00 by 28.00, which is 12.1, since there is a decimal place you have to round it up to 13 because it is a little bit more than 12 paychecks. ;)

7 0
3 years ago
Sara is a librarian and works at least 10 hours per week. If Sara would like to work extra shifts, they are added to her
emmainna [20.7K]

Answer:

y = 10 + 2x

or

y = 2x + 10

Step-by-step explanation:

She works a fixed 10 hours each week, so we start with

y = 10

Now she adds 2-hour increments. She can have 0, 1, 2, or another number of increments. x represents the number of increments. Since each increment is 2 hours, 2x represents the number of hours added by the increments. Now we add 2x to the fixed number of hours.

y = 10 + 2x

or

y = 2x + 10

4 0
3 years ago
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