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marta [7]
4 years ago
6

Solve this system of equations algebraically using substitution y= x + 4 and x + y=2

Mathematics
1 answer:
barxatty [35]4 years ago
6 0

Answer:

x = -1, y = 3

Step-by-step explanation:

To solve this system of equations, you have to plug in the value of y from the first equation into the second equation:

x + (x + 4) = y

2x + 4 = 2

2x = -2

x = -1

Then, plug x = -1 into one of the equations:

y = (-1) + 4

y = 3

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9 1/2 yards x 19 1/4 yards
saul85 [17]

Answer:

(9 1/2) * (19 1/4) = 1463/8 = 182 7/8

Step-by-step explanation:

Conversion a mixed number 9 1/2

to a improper fraction: 9 1/2 = 9 1/2

= 9 · 2 + 1/2

= 18 + 1/2

= 19/2

To find a new numerator:

a) Multiply the whole number 9 by the denominator 2. Whole number 9 equally 9 * 2/2

= 18/2

b) Add the answer from previous step 18 to the numerator 1. New numerator is 18 + 1 = 19

c) Write a previous answer (new numerator 19) over the denominator 2.

Nine and one half is nineteen halves

Conversion a mixed number 19 1/4

to a improper fraction: 19 1/4 = 19 1/4

= 19 · 4 + 1/4

= 76 + 1/4

= 77/4

To find new numerator:

a) Multiply the whole number 19 by the denominator 4. Whole number 19 equally 19 * 4/4

= 76/4

b) Add the answer from previous step 76 to the numerator 1. New numerator is 76 + 1 = 77

c) Write a previous answer (new numerator 77) over the denominator 4.

Nineteen and one quarter is seventy-seven quarters

Multiple: 19/2

* 77/4

= 19 · 77/2.4

= 1463/8

5 0
3 years ago
Find |x| when x = 15 and x = – 15.
777dan777 [17]

Answer:15

Step-by-step explanation:trust me

6 0
3 years ago
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Statistics Probability
andriy [413]

Answer:

Explained below.

Step-by-step explanation:

Denote the variable as follows:

M = male student

F = female student

Y = ate breakfast

N = did not ate breakfast

(a)

Compute the probability that a randomly selected student ate breakfast as follows:

P(Y)=\frac{n(Y)}{N}\\\\=\frac{198}{330}\\\\=0.60

(b)

Compute the probability that a randomly selected student is female and ate breakfast as follows:

P(F\cap Y)=\frac{n(F\cap Y)}{N}\\\\=\frac{121}{330}\\\\=0.367

(c)

Compute the probability a randomly selected student is male, given that the student ate breakfast as follows:

P(M|Y)=\frac{n(M\cap Y)}{n(Y)}\\\\=\frac{77}{198}\\\\=0.389

(d)

Compute the probability that a randomly selected student ate breakfast, given that the student is male as follows:

P(Y|M)=\frac{n(Y\cap M)}{n(M)}\\\\=\frac{77}{154}\\\\=0.50

(e)

Compute probability of the student selected "is male" or "did not eat breakfast" as follows:

P(M\cup N)=P(M)+P(N)-P(M\cap N)\\\\=\frac{n(M)}{N}+\frac{n(N)}{N}-\frac{n(M\cap N)}{N}\\\\=\frac{n(M)-n(N)-n(M\cap N)}{N}\\\\=\frac{154+132-77}{330}\\\\=0.633

(f)

Compute the probability of "is male and did not eat breakfast as follows:

P(M\cap N)=\frac{n(M\cap N)}{N}\\\\=\frac{77}{330}\\\\=0.233

4 0
3 years ago
Find the coordinates of midpoint E.
Alex777 [14]

Answer:

download photo math its free all you have to do is take a picture of the problem and the answer pops up it even shows you how to solve the problem 10/10

4 0
3 years ago
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WILL GIVE BRAINLIEST!!!<br> Graph the equation on the coordinate plane<br><br><br> y=−2x
egoroff_w [7]
This is my guess .-.

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4 years ago
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