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jarptica [38.1K]
3 years ago
13

Solve the following system of equations: y=2x + 1 y = -x+4x= ?y=?​

Mathematics
1 answer:
patriot [66]3 years ago
4 0

Answer:

x= 1, y=3

Step-by-step explanation:

y= 2x +1

y= -x +4

Those two equation are in a system that means they need to be true in the same time. Just like I would say look for a car that is red and is a truck in this case we look for x and y is true that y = 2x+1 and is true that y= =x+4.

so y= 2x+1 but y is -x+4 so substitute

-x+4 = 2x +1,  add x on both sides

4= 2x+x +1, subtract 1 from both sides

4-1 = 2x +x, combine like terms

3 = 3x , divide both sides by 3

x=1

if x=1 we substitute in y= -1 +4 = 3

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Which list shows the numbers in order from least to greatest?
podryga [215]

Answer:

The answer to your question is: letter b

Step-by-step explanation:

Data

√32 ≈5.65

5.2

4 2/3  = 4.67

√17 ≈ 4.1

a) This option is ot correct because √17 must be the first number not the last.

b) This is the right option, all the numbers are in the right position

c) This option is wrong because 4 2/3 must be the second number in the list not the first.

d) This option is also wrong because 5.2 must be the third number in the list not the first.

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3 years ago
What snack is the mode? ​
denis-greek [22]
Popcorn is the mode
6 0
4 years ago
johnathan class has 30 boys of the students in his class 60% are girls how many girls are in johnathans class
Gekata [30.6K]

Answer:

45 girls

Step-by-step explanation:

If 60% of the class is girls then 40% of the class is boys.

30 boys are in the class, meaning that 40% of the class comprises those 30 boys

First, we need the total number of class members: 30/x = 40/100 -> 40x=3000 -> x=3000/40 -> x=75

Now that we know the total class members, at 75, we can calculate the number of girls in the class. You can do this:

0.6*75=45

or

60/100=x/75 and solve for x

5 0
4 years ago
I have 5 quarters and 7 pennies. What fraction of the coins are pennies?
Alex787 [66]

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3 0
4 years ago
Read 2 more answers
Solve for x and y then find angle ABE
Soloha48 [4]

Answer:  x  is 9° ,  y is 21°. The measure of angle ABE is 48°.

Step-by-step explanation:

First we will solve for x.  

The variable x appears in the angle 8x + 18   and that angle is a right angle.

Right angles have the measure of 90 degrees so we will set the angle equal 90  and solve for x.

8x + 18 = 90    Subtract 18 from both sides

      - 18   -18  

8x = 72     divide both sides by 8

x = 9  

y is also on the right side and the combination of both angles has to also equal 90 degrees because they form a right angle.

Since we already know x is 9 we will input it into the left side for x and solve for y.

y + 3(9) + 2y = 90

3y + 27= 90

    -27     -27

3y = 63

 y = 21  

Now we need to find the measure of angle ABE.

ABE is represented by  y + 3x  so since we know the value of y and x we will input it into the expression and solve for the angle.

21 + 3(9) = m∠ABE

21 + 27= m∠ABE

48 = m∠ABE

This means the measure of angle ABE is 48°

5 0
3 years ago
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