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vovangra [49]
3 years ago
15

When solving the equation such as 3/5x = 1/9 , why would you multiply both sides of the equation by the reciprocal of 3/5 ?

Mathematics
1 answer:
pav-90 [236]3 years ago
7 0
You would multiply each side of the equation by the reciprocal of 3/5 (5/3) because would cancel out 3/5 which would leave you with x and the answer.
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A class has 36 students and it is divided into two groups which are in the ratio 3:6. How many students in each group?
Marrrta [24]

Answer:

12:24

Step-by-step explanation:you simplify the ration to 1:2 and then divide 36 by 3 which is 12 and then times 1x12=12 and 12x2=24 and 24 +12=36

6 0
3 years ago
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What is the equation of the line that passes through (4,-1) and (-2,3)
vladimir1956 [14]

Answer: y-6 = 0.5 (x-8)

Step-by-step explanation:

y − y1 = m(x − x1)

The equation is useful when we know:

one point on the line: (x1,y1)

and the slope of the line: m,

and want to find other points on the line.

Have a play with it first (move the point, try different slopes):

8 0
3 years ago
A test is worth a total of 150 points and contains 70 questions. Some of the questions are worth 2 points and some are worth
FrozenT [24]

Answer:

65 two-point questions, and 5 four-point questions.

Emma answered 2 four-point questions.

Step-by-step explanation:

1. Assigning variables and writing equations

We will set the number of 2 point questions as "x" and number of 4 point questions as "y"

We know that:

x+y=70 (number of 2 point questions+number of 4 point questions=total number of questions)

2x+4y=150 (number of points that a two point question is worth*number of two point questions+number of points that a four point question is worth*number of four point questions=total points on test)

2. Combining equations

x+y=70, 2x+4y=150

We will solve one of these equations.

x+y=70

x=70-y

Next, we will substitute the other equation with this solution.

2*(70-y)+4y=150

140-2y+4y=150

2y=10

y=5

Use this solution to find x.

x+y=70

x+5=70

x=65

<em>We found that there are 65 two-point questions, and 5 four-point questions. </em>

3. Finding Emma's test results

In this case, we know how many two-point questions she answered. So, we will only be using one variable in this equation, which is y.

46*2+4y=100

92+4y=100

4y=8

y=2

<em>So, she answered 2 questions correctly. </em>

4 0
3 years ago
Pleaseee helppp!!! I'll give brainliestt!!<br><br> AND<br> please don't just answer for points!
kvasek [131]

Answer:

x=-8 where A=1 and B=0

Step-by-step explanation:

The given line's graph is x=-8. Since there is no y, they coefficient in front of y, B, will be 0, and since there is only one x, that coefficient in front of the x, A, will be 1.

5 0
2 years ago
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System of solution -x+2y=-6<br> 3x+2y=2
jok3333 [9.3K]

(16/3 1/3)

x=16/3 y=1/3

8 0
3 years ago
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