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Natali [406]
3 years ago
10

Find ST if S is between R and T, SR = 2x + 7, ST = x - 6, and RT = 100

Mathematics
1 answer:
pav-90 [236]3 years ago
7 0
Since SR+ST adds up to RT, we have 2x+7+x-6=100=3x+1. 
Subtracting 1 from both sides, we get 3x=99

Dividing both sides by 3, we have x=33
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A different way to solve a mixed-number addition problem
kompoz [17]

Answer:

Step-by-step explanation:

example :

2 1/4  + 3 1/2

you can either turn them to improper fractions, find the common denominator, and then add them and then convert that answer to a mixed number

2 1/4 + 3 1/2 = 9/4 + 7/2 = 9/4 + 14/4 = 23/4 = 5 3/4

OR

separate them....add the whole numbers, then the fractions

2 1/4 + 3 1/2 .......2 + 3 = 5.....1/4 + 1/2 = 1/4 + 2/4 = 3/4.....now put them back together and u get : 5 3/4

3 0
3 years ago
Vicki works 19 hours per week. Her take home pay is $17.30 per hour. If Vicki is able to save all of her earnings, how long will
Deffense [45]

17.30 *19 = 328.70 per week

4000 / 328.70 = 12.17 weeks

 so it would take her 13 weeks

answer is B 13weeks

7 0
3 years ago
Read 2 more answers
Avani wrote the linear equation y = 5 x + 4. Then, she wrote the equation of the line that is perpendicular to y = 5 x + 4 and t
Margarita [4]

Avani wrote the linear equation y = 5x + 4. Then, she wrote the equation of the line that is perpendicular to y = 5x+ 4 and that passes through (15,–2). If her new equation is in the form  y-\frac{1}{5}x+b, what is the value of b?

\bf y=mx+b

  • m is the slope
  • b is the y-intercept

The equation of a line that is perpendicular to another line always has the opposite reciprocal slope. In the original equation, the slope is 5. The opposite of 5, which refers to the sign, is -5. The reciprocal of -5 is -1/5. That means the slope of the new line is -1/5.

The perpendicular line:

  • Has a slope of -\frac{1}{5}
  • Passes through the point (15, -2)

To find the equation of a line that passes through a specific point, you need to use slope-intercept form.

\bf y-y_{1} =m(x-x_{1})

  • y₁ is the y-value of the point
  • m is the slope
  • x₁ is the x-value of the point

y₁ is -2, m is -1/5,  and x₁ is 15.

Substitute the known values into the equation:

y-(-2)=-\frac{1}{5}(x-15) \rightarrow y+2= -\frac{1}{5}(x-15)

Open the parentheses and distribute:

-\frac{1}{5}(x-15) \rightarrow -\frac{1}{5} \cdot x\ +  -\frac{1}{5} \cdot -15 \rightarrow -\frac{1}{5}x +3

The new equation will be:

y+2=-\frac{1}{5}x+3

Lastly, you need to move the positive 2 to the other side to keep it in y = mx + b form.

y+2-2=-\frac{1}{5}x+3-2 \rightarrow y=-\frac{1}{5}x+1

The equation of the perpendicular line is:

\bf y=-\frac{1}{5}x+1

The value of b is 1.

5 0
3 years ago
I need help asap please and thank you
Delvig [45]

Answer:

-70

Step-by-step explanation:

Using the hint given

1st term + common difference (desired term - 1)

(-2) + (-4) (18-1)

-70

4 0
3 years ago
How many different combinations of 3 books from a list of 10 recommended books?
AleksandrR [38]

Answer:

10-3

=7

Step-by-step explanation:

i hope it wil help

5 0
3 years ago
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