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algol13
2 years ago
9

What is the equation of the line that passes through the point (-6, -2) and has a slope of 1/6?

Mathematics
1 answer:
gladu [14]2 years ago
3 0

Answer:

y=1/6x -1

Step-by-step explanation:

Use point-slope form to convert it to y=mx+b.

y-y1=m(x-x1)

y+2=1/6(x+6)

Distribute and simplify.

y+2=1/6x+1

y=1/6x-1

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70% of the magic tricks that Jade knows are card tricks. If she knows 14 card tricks, how many magic tricks does Jade know in al
Irina-Kira [14]

Answer:

20

Step-by-step explanation:

Given data

Let the number of magic tricks be x

we are told that she knows 70% of card trick which is 14 card tricks

hence we have

70/100*x= 14

0.7x= 14

x= 14/0.7

x=20

Hence the number of magic tricks she knows is 20

6 0
2 years ago
Raymond sings in a choir called the Seaville Songbirds. For every 5 modern songs they learn, the choir leader teaches them 3 cla
lutik1710 [3]

Answer:

prolly 12

Step-by-step explanation:

it is probably 12 thank you

7 0
3 years ago
What is 395 times blank equals 2,370
Schach [20]
6

Oh no! Something went wrong while adding your answer
It's too short.<span> Write at least 20 characters to explain it well.</span>
4 0
3 years ago
Read 2 more answers
Solve the inequality t/4 &gt;7<br> And 2c/3 +1&gt;7
Maru [420]

Answer:   c > 12

Step-by-step explanation:tep  1  :

           c

Simplify   —

           3

Equation at the end of step  1  :

       c            

 ((2 • —) -  1) -  7  > 0  

       3            

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

        1     1 • 3

   1 =  —  =  —————

        1       3  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2c - (3)     2c - 3

————————  =  ——————

   3           3    

Equation at the end of step  2  :

 (2c - 3)    

 ———————— -  7  > 0  

    3        

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

        7     7 • 3

   7 =  —  =  —————

        1       3  

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

(2c-3) - (7 • 3)     2c - 24

————————————————  =  ———————

       3                3    

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  2c - 24  =   2 • (c - 12)  

Equation at the end of step  4  :

 2 • (c - 12)

 ————————————  > 0  

      3      

Step  5  :

5.1    Multiply both sides by  3  

5.2    Divide both sides by  2  

Solve Basic Inequality :

5.3      Add  12  to both sides

            c > 12

Inequality Plot :

5.4      Inequality plot for

        0.667 X  - 8.000  >  0

 

 

One solution was found :

                  c > 12

3 0
3 years ago
Henry knows that the circumference of a circle is 18mc006-1.jpg inches. What is the area of the circle?
lesantik [10]
The complete question is:
Henry knows that the circumference of a circle is 18π inches. What is the area of the circle?

Solution:
Circumference (C) of the circle can be written as:

C=2 \pi r \\ \\ 18 \pi =2 \pi r \\ \\ r=9

Using this value of radius, we can find the Area(A) of the circle.

A= \pi  r^{2}  \\  \\ &#10;A= \pi (9)^{2}  \\  \\ &#10;A=81 \pi

Therefore, area of the circle having a circumference of 18π inches will be 81π inches²
5 0
3 years ago
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