Identify the coordinates of P(–5, 7) after a rotation of 180° about the origin. a. P’ = (5, 7) c. P’ = (5, –7) b. P’ = (–5, –7) d. P’ = (7, –5)

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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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

The cost per kilogram is $9.10.

Haily paid $13 for 1 and 3/7 kg of sliced salami. To find the cost per kilogram of salami, follow these steps:

The cost per kilogram of salami is $9.10.

Answer:

b -2

Step-by-step explanation:

The coefficient of the given term -2mnp is -2. Therefore, option B is the correct answer.

The given term is -2mnp.

A coefficient is an integer that is written along with a variable or it is multiplied by the variable. In other words, a coefficient is the numerical factor of a term containing constant and variables.

A coefficient is the numerical factor.

Now, the coefficient of the term -2mnp is -2.

The coefficient of the given term -2mnp is -2. Therefore, option B is the correct answer.

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2.5 in fraction form is 25/10 .

2.5 in simplest form = 5/2 .

Given, Number = 2.5

Now , firstly convert 2.5 in fraction form.

2.5 = 25/10

GCF of 25 and 10 = 5

Divide 25 and 10 by 5

= 5/2

Hence the fraction in simplest form is 5/2 as it can not be further simplified .

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The exponent of 1/243  is [tex]3^{-5}[/tex].

Exponents and powers can be used to represent extremely large or extremely small numbers in a more straightforward way. To illustrate 3 x 3 x 3 x 3 in a straightforward manner, for instance, we could write it as 34, where 4 is the exponent and 3 is the base. It is claimed that the entire expression 34 has power. Here, you can also learn about exponent laws. Power is essentially an expression that displays the same number or factor being multiplied repeatedly.

Given that,

[tex]\frac{1}{243}[/tex] , taking the prime factorization of 243

[tex]\frac{1}{243}[/tex]     = [tex]\frac{1}{3.3.3.3.3}[/tex]

         = [tex]\frac{1}{3^{5} }[/tex]

Write the power in negative form

[tex]\frac{1}{243}[/tex]     = [tex]3^{-5}[/tex]

Hence, The exponent of 1/243  is [tex]3^{-5}[/tex].

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To express 1/243 with a negative exponent other than -1, write it as 3^-5 since 243 is 3 raised to the power of 5

To express the fraction 1/243 using a negative exponent, first recognize that 243 can be written as 3^5, since 3 × 3 × 3 × 3 × 3 equals 243. Therefore, 1/243 is the same as 1/(3^5). By the rules of exponents, this can be written with a negative exponent as 3^-5. Hence, 1/243 expressed using a negative exponent other than -1 is 3^-5

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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Answer:

1.98 centimeter

Step-by-step explanation:

Hope this will help

Using the place value chart we can see that the decimal 0.6 is six tenths, so we can write 0.6 as the fraction . Notice however that  is not in lowest terms so we need to divide the numerator and the denominator by the greatest common factor of 6 and 10 which is 2.

-Image Provided-

Answer:

(0,1)

Step-by-step explanation:

Answer:

i think the answer is also A

Step-by-step explanation:

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.