Two parallel lines are crossed by a traversal. What is the value of k?
k=9
k=20
k=60
k=71

Answer:

138 nonfiction

Step-by-step explanation:

Ratio problem, we are going to use the part to all approach

Step one:

given data

the ratio of nonfiction to fiction books is 2 to 5

otherwise expressed as 2:5

the total ratio is 2+5= 7

the total number of books is 161,

applying the part to all approach

nonfiction to all is

let the nonfiction be x

2/7=x/161

cross multiply we have

7x= 161*6

7x=966

divide both sides by 7

x=966/7

x=138 nonfiction

138 nonfiction

Answer:

D.

Step-by-step explanation:

Opposite numbers will be numbers with opposite signs

Option D shows -3 at one end and +3 at the other; their sum is 0

Answer:

B

Step-by-step explanation:

Answer:

84 degrees

Step-by-step explanation:

(6x - 30) + 96 = 180

6x 66= 180

6x= 114

x=19

6(19) - 30 = 114 - 30 = 84

(6x - 30) = 84 degrees

Hope this helps!

Answer:

a = p * q

b = p * s + q * r

c = r * s

Step-by-step explanation:

In the trinomial ax² + bx + c

a is the coefficient of x²

b is the coefficient of x

c is the numerical term

∵ The trinomial is ax² + bx + c

∵ Its factors are (px + r) and (qx + s)

∴ ax² + bx + c = (px + r)(qx + s)

∵ (px + r)(qx + s) = (px)(qx) + (px)(s) + r(qx) + (r)(s)

∴ (px + r)(qx + s) = pqx² + (psx + qrx) + rs

∴ ax² + bx + c = pqx² + (ps + qr)x + rs

→ By comparing the two sides

∵ ax² = pqx² ⇒ divide both sides by x²

∴ a = pq

∵ bx = (ps + qr)x ⇒ Divide both sides by x

∴ b = ps + qr

∴ c = rs

∴ a = p * q

∴ b = p * s + q * r

∴ c = r * s

Answer:

B

Step-by-step explanation:

The general equation of a straight line can be represented as;

y = mx + b

where m is slope

If two lines are perpendicular, the product of their slopes will be -1

So since the slope of the first line is 1, then the slope of the second line will be -1

Out of all the options, only have its slope as -1 and this y = -x + 6 and this is our answer

Answer:

y = −2x+14

plot the points on a graph, and find the slope :)

Answer:

one white paint

Step-by-step explanation:

because if you use 1 whit paint on 1 yellow paint is either you get a little yellow pigment or light cream

Answer:

$10.06

Step-by-step explanation:

Since there are 2 people, multiply the amount they each get by 2.

5.03 times 2=10.06

Final answer  10.06

Hope this helps:)

Answer:

9

Step-by-step explanation:

if you think bout it 24/6 is 4 and 36/9 is 4

Answer:

We have to multiply 4 with 3 to make it equal to 12.

Step-by-step explanation:

Given the two equations:

[tex]6x - 5y = 21\\ 4x + 7y = 15[/tex]

In elimination method for solving two linear equations in two variables, one variable is eliminated by making the coefficients of the variable equal to each other and then the equations are subtracted from each other so that only one variable remains.

Here, we have to eliminate [tex]x[/tex].

The coefficients are 6 and 4.

The least common multiple of 6 and 4 is 12.

So, we multiply 6 by 2 to make it equal to 12.

and we have to multiply 4 with 3 to make it equal to 12.

And then the two equation have to be subtracted from each other.

Answeer

what the other person said was right

Step-by-step explanation:

Given:

Michelle plans on raising $80.

Selling price of each shirt = $10

So far she has raised $20.

To find:

The number of more shirts she needs to sell.

Solution:

Let x be the number of more shirts she needs to sell.

Selling price of one shirt = $10

Selling price of x shirt = $10x

Total raising amount = $(10x + 20)

Michelle plans on raising $80. So,

[tex]10x+20=80[/tex]

Subtract both sides by 20.

[tex]10x=80-20[/tex]

[tex]10x=60[/tex]

Divide both sides by 10.

[tex]x=\dfrac{60}{10}[/tex]

[tex]x=6[/tex]

So, the required equation is [tex]10x+20=80[/tex]

Therefore, the correct option is A.

Answer:

y = 1

x = 1

Step-by-step explanation:

If y = x

Replace x with y

y = 11y - 10

y - 11y = -10

-10y = -10

y = 1

Hope this helps!

Have a nice day!

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Answer:

-8.2,-2 1/2, 0.4,2.4

Step-by-step explanation:

hope that helps

Answer:

5 bottle caps each second

Step-by-step explanation:

To find the unit rate, just divide the total number by the total time.

150/30

5

So 5 bottle caps per second

Answer:

The answer is $68.58

Step-by-step explanation:

The total cost of the tax is $5.08 so if you add that to $63.50 you get $68.58.

PLEASE MARK BRAINLIEST

Answer: 40 grams

Step-by-step explanation:

Each horse needs 300 milligrams and each horse eats 15 pounds of feed per day.

This means that 300 milligrams should be in 15 pounds of feed.

In 2,000 pounds therefore, the medication that should be added is;

= (2,000 * 300) / 15

= 40,000 milligrams of supplement

Question calls for how much grams are needed.

1 gram is 1,000mg

40,000 milligrams is;

= 40,000/1,000

= 40 grams

Answer:

14

Step-by-step explanation:

Answer:

12.6

Step-by-step explanation:

The y intercept means that x=0, therefore you will plug in 0 in your equation.

f(x) = -5.4x + 12.6

f(0) = -5.4(0) + 12.6

f(0) = 0 + 12.6

=12.6

Answer:

It will be 84

Step-by-step explanation:

Answer:

20x + 5 < 30

Step-by-step explanation:

To make a profit, the price on supplies must be less than the amount at which they sold their wares

Since they received $5 in tip, the amount of profit left to be accounted for is 30-5 = 25

So now, we need the smallest price at which they will sell per lemonade to make a profit

Mathematically, that will be;

20x + 5 > 30

Using this inequality X they will know the value of x that will give them profit

Answer:

8.7 * 10^7

Step-by-step explanation:

Scientific notation is a representation of huge but countable numbers at it's unit place with an expansion of the powers of 10.

Hence,

87,000,000

=87*10^6

=8.7*10^7

Answer:

Chelsea can buy 5 shirts.

Step-by-step explanation:

You can't split shirts when buying them, so Chelsea can buy 5 shirts.

Answer:

The answer is 267.

Step-by-step explanation:

If we wanted to represent this scenario as an equation, it would be 22.40-14+.5x (x being the amount of texts after 250). We are using PEMDAS, but because the variable is unknown, we skip multiplication and just go left to right. 22.40 - 14 = 8.40. With 8.40, we now know how much it costed AFTER 250 messages (how much she owes after $14). If we want to find how many PER 50 cents, we have to DIVIDE (reverse of multiplication). 8.4 / .5 = 16.80. Because you can't send .8 of a text message, you round to get 17. 250 + 17 = 267 (messages sent that month).

Therefore the answer is 267 (250 + 17)

Answer:

25 percent

Step-by-step explanation:

percent=1/100

16 times x=4

16 times 1/4=4

Answer:

.06 % (6%)

Step-by-step explanation:

I'm not good at explaining but,

Using baseball method I:

1. Wrote it out as a fraction

2. multiplied numerator (4) by the denominator of (16)

3. Then I divided the product of that, 64, by 100 and got .04

Which is 4% (:

Answer:

B and B

Step-by-step explanation:

The first one is B because all of the slopes are negative except B. And so I think that's the correct answer

The second one I know is B for sure, I remember learning it in 8th grade 2 years ago.

It's really just the first one I am second guessing myself on but B and B make sense to me :)

Answer:

Step-by-step explanation:

Given:

As per given the proportion is:

A rock that weights 250 pounds on Mars would weigh on Earth:

Answer:

C = 8

Step-by-step explanation:

2/7 = c/28

Multiply to get c by itself

2/7 x 28 = c

Solve

2/7 x 28 = 8

C = 8

The value of c is 8 in the proportion 2/7=c/28.

Two or more expressions with an Equal sign is called as Equation.

The given proportion is  2/7=c/28

Two divided by seven equal to c divided by twenty eight.

We have to find the value of c.

We find the value of c by applying cross multiplication

28×2=7c

56=7c

Divide both sides by 7

56/7=c

Divide numerator and denominator by 7

We get c=8

Hence, the value of c is 8 in the proportion 2/7=c/28.

To learn more on Equation:

https://brainly.com/question/10413253

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Answer:

Line A

Step-by-step explanation:

AAnswer:

Step-by-step explanation: