How do you solve the system of linear equation by multiplying?

5x - 2y = 11
3x + 5y = 19

Answer:

2

Step-by-step explanation:

To factor out the coefficient of the variable from 5c - 15, divide both terms by the coefficient which is 5, yielding the factored form: 5(c - 3).

The expression 5c - 15 involves multiplication by the coefficient of the variable c and subtraction of 15. To factor out the coefficient of the variable here, we're looking to take out a common factor from both 5c and -15. The coefficient of the variable c is 5, which is also a factor of -15.

So, to factor out the coefficient of the variable (which is 5) we divide both terms by 5, which gives us: 5(c - 3). Here, 5 is factored out and (c - 3) is what remains.

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Answer:

136

Step-by-step explanation:

did the interim (usatestprep)

The correct answer is;

Horse A will take 4 minutes to run 1 miles, while horse B will take 2 minutes 30 seconds to run 1 mile.

Analysing the graph, the Distance is measured in miles, while the Time is measured in minutes.

For horse A, the time taken to run 1 miles is 4 minutes, according to the graph.

For horse B, the time taken to run 1 mile is 2 minutes 30 seconds according to the graph.

Therefore, according to the graph, it will take horse A and horse B, 4 minutes and 2 minutes 30 seconds respectively, to run a mile.

Given that the package contains 5 pairs of gloves

Let us first establish some facts

Now let us solve for the cost of a glove

if 10 gloves cost 29.45

the 1 glove  will cost x

Cross multiply to solve for x

10*x = 1*29.45

divide both sides by 10

x = 29.45/10

x= 2.945

Hence the cost of a single glove is 2.945

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Answer:

i think the answer is also A

Step-by-step explanation:

Answer:

B.$5.25

Explanation:

There were 2 tickets to the Ferris wheel; each is $5.  This can be written as 2(5).

Ella got a snow cone, which cost $3.50.  This gives us 2(5) + 3.50.

Margaret got a cotton candy, the cost being unknown; this gives us 2(5)+3.50+x.

Ella had a certificate for $6 off the cost; this gives us 2(5)+3.50+x-6.

This makes the equation

2(5)+3.50+x-6=12.75

Combining like terms, we have

7.50+x = 12.75

Subtract 7.50 from each side:

7.50+x-7.50 = 12.75 - 7.50

x = 5.25

a right angle is 90 degrees

 the other 2 angles must equal 180-90 = 90 degrees

1st angle = x

 2nd angle = 4x+10

 add them together:

 x + 4x +10 = 90

 combine like terms:

5x +10 = 90

subtract 10 from each side:

5x =80

divide both sides by 5:

x = 80 /5 = 16

 1st angle = 16 degrees

 2nd angle = 4(16) +10 = 64 +10 = 74 degrees

Answer:

Option C.

Step-by-step explanation:

The given expression is

[tex]-\frac{1}{3}-(-\frac{1}{2})[/tex]

We know that (-)(-)=(+). So, the given expression can be written as

[tex]-\frac{1}{3}+\frac{1}{2}[/tex]

Taking LCM we get

[tex]\frac{-2+3}{3\times 2}[/tex]

[tex]\frac{1}{6}[/tex]

The value of given expression is 1/6.

Two numbers are [tex]-\frac{1}{3}\text{ and }-\frac{1}{2}[/tex]. Mark these point on the given number number.

Now, move from [tex]-\frac{1}{2}[/tex] to [tex]-\frac{1}{3}[/tex] and count the number of jumps.

Number of jumps from [tex]-\frac{1}{2}[/tex] to [tex]-\frac{1}{3}[/tex] is 1.

1 Jump = 1/6

Therefore, the value of given expression is 1/6, therefore the correct option is C.

we know that

If lines f and g are parallel

then

the angle c must be equal to

∠c=[tex]75\°[/tex] ------> by alternate exterior angles

and

∠c+∠d=[tex]180\°[/tex] ------> by supplementary angles

so

∠d=[tex]105\°[/tex]

therefore

the answer is

The angle d should be equal to [tex]105\°[/tex] to prove that f ∥ g

your answer is d on edge.

Answer:

6 over 40

Step-by-step explanation:

6/40 or 3/20  is the probability that Pam will select a yellow pencil and the coin will land tails up.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given that,  The table below shows the number of pencils of different colors in a box:

Color of Pencil        Number

Purple                         10

Blue                             1

Yellow                         6

Pink                             3

From the general formula of probability:

Probability = (desired outcome)/ (Total outcome)

In our case

Total outcomes = (number of pencils) * (coin sides)

Total outcomes = 20 * 2

Total outcomes = 40

Desired outcomes = Pam will select a yellow pencil and the coin will land tails up

Desired outcome = (number of yellow pencils) * (coin sides)

Desired outcome = 6 * 1 = 6

Thus,

Probability = 6/40

therefore, the probability that Pam will select a yellow pencil and the coin will land tails up is 6/40 or 3/20.

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