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Elza [17]
3 years ago
6

Solve. 3x-4y=-5 -x+2y=3 Write answer in the form (x,y).

Mathematics
1 answer:
ch4aika [34]3 years ago
4 0
3x-4y=-5
-x+2y=3
Multiply the second by one:
3x-4y=-5
-2x+4y=6
Combine the equations:
x = 1
Substitute x and solve for y:
-2*1+4y=6
-2+4y=6
4y=8
y=2
Answer:
(1,2)

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Write the denominator of the fractiona 7/20 as the product of prime factors
gtnhenbr [62]

Answer:

Step-by-step explanation:

prime factors of 20 = 2 * 2 * 5

\frac{7}{20}=\frac{7}{2*2*5}

5 0
3 years ago
Of the students in your class, 12% are left-handed. What fraction of the students are left-handed? Are there more right-handed o
kvv77 [185]
The left-handed students
12% are left handed, percent means per hundred. Change percent into per 100.
12% = \dfrac{12}{100}

Then simplify the fraction by dividing the numerator and denominator by 4
\dfrac{12}{100}
= \dfrac{12:4}{100:4}
= \dfrac{3}{25}
This is the fraction showing the proportion of the left-handed students

The right-handed students
Determine the fraction showing the proportion of the right-handed students
1 - the left-handed
= 1 - \dfrac{3}{25}

Equalize the denominator to 25
\dfrac{25}{25} - \dfrac{3}{25}

Simplify
\dfrac{21}{25}
This is the proportion of the right-handed students

<span>Are there more right-handed or left-handed students?
There are more right-handed students than the left-handed students, because 21/25 is more than 3/25</span>
4 0
4 years ago
A card is drawn from a standard deck of 52 cards. What is the theoretical probability, as a decimal, of drawing an ace? Round th
Alexus [3.1K]

|\Omega|=52\\ |A|=4\\\\ P(A)=\dfrac{4}{52}=\dfrac{1}{13}\approx0.08

6 0
3 years ago
Determine the slope of a line that passes through A(-4, 7) and B(6,3)
Helga [31]

Answer:

m=\frac{-2}{5}

Step-by-step explanation:

<u>Use the formula:</u>

m=\frac{y_2-y_1}{x_2-x_1}

<u>Plug in the numbers (coordinates) given, like so:</u>

m=\frac{3-7}{6+4}

m=\frac{-4}{10}

<u>Simplify:</u>

<u />m=\frac{-2}{5}

7 0
4 years ago
Read 2 more answers
Write an equation of the line with slope -2 and passing through (3,1) in slope-intercept form
Vinvika [58]

Answer:

y=-2x+7

Step-by-step explanation:

Hi there!

The form of slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

We are given the slope (-2) and a point (3,1)

We can immediately substitute -2 as the slope in the equation

y=-2x+b

Now we need to find b

Because the line will pass through the point (3,1), we can use it to solve for b

Substitute 3 as x and 1 as y

1=-2(3)+b

multiply

1=-6+b

add 6 to both sides to isolate b

7=b

Substitute 7 as b into the equation

The line is <u>y=-2x+7</u>

Hope this helps!

8 0
3 years ago
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