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2 years ago

Use substitution to solve each system of equations c-5d=2 2c+d=4

2 answers:

8 0

2x-y = -4 OR y = 2x+4
-3x+y=44
-3x + (2x+4)= 44

-x = 40
x = -40 and y = -76 (2*-40 + 4)
c-5d=2 OR c = 5d + 2
2c + d =4
2(5d+2) + d = 4
11d = 0
d = 0 and c = 2

Anarel [89]2 years ago

4 0

2x-y = -4 OR y = 2x+4
-3x+y=44
-3x + (2x+4)= 44

-x = 40
x = -40 and y = -76 (2*-40 + 4)
c-5d=2 OR c = 5d + 2
2c + d =4
2(5d+2) + d = 4
11d = 0

d = 0 and c = 2

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3 years ago

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If Susan is 4 feet 8 inches tall and Sharon is 5 feet 4 inches tall, what is the ratio of Sharon’s height to Susan’s height?

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3 years ago

What is the probability that a random permutation of the letters in MATHEMATICS contains the word TEA (with those three letters

Wewaii [24]

Answer:

The probability that a random permutation of the letters in MATHEMATICS contains the word TEA is 0.04.

Step-by-step explanation:

First compute the number of permutations of the word MATHEMATICS.

There are a total of 11 letters.

And there are 2 Ms, 2 As and 2 Ts

Number of permutations of MATHEMATICS = $\frac{11!}{2!\times2!\times2!} = 4989600$

Now, if the letters TEA occur together in the same order then the word may be of the form: (TEA)MHMATICS.

There are a total of 9 letters.

The letters TEA is treated as only one letter.

In this case there are 2 Ms.

Number of permutations of (TEA)MHMATICS = $\frac{9!}{2!} = 181440$

The probability that the letters TEA occur together is:

$\frac{Number\ of\ permutations\ of\ MATHEMATICS}{Number\ of\ permutations\ of\ (TEA)MHMATICS} = \frac{181440}{4989600} \\=0.0363636\\\approx0.04$

Thus, the probability that a random permutation of the letters in MATHEMATICS contains the word TEA is 0.04.

5 0

3 years ago

Solve for m 2m = -6n -5; n = 1, 2 ,3

rosijanka [135]

Substitute with the value of n in the equation to get m as follows:
at n=1:
2m=-6(1)-5=-6-5=-11
m = -11/2
at n=2:
2m=-6(2)-5=-12-5=-17
m = -17/2
at n=3:
2m=-6(3)-5=-18-5=-23
m = -23/2

8 0

2 years ago

Please answer what is 1 2 3 4 5 no links I forgot to do my homework

lutik1710 [3]

1. 40°

2. 50°

3. 45°

4. a. draw a line from angle P to downward but make it so it can cut angle OPQ from the half

b. 70°

c. angle TPQ = angle OPQ ÷2

angle TPQ = 140÷2= 70°

7 0

2 years ago