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3 years ago

7

Kiley spent $20 on rides and snacks at the state fair. If x is the amount she spent on rides, and y is the amount she spent on s

nacks, the total amount she spent can be represented by the equation x+y=20. If the relationship between x and y linear? Is it proportional? Explain.

1 answer:

IgorLugansk [536]3 years ago

5 0

Both linear and proportional because as x increases y decreases at the same rate

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True or false is the graph of y = 2/3 x + 4

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False. 2/3 is positive so therefore, it would be increasing, not decreasing.

Step-by-step explanation:

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Neural tube defects are birth defects of the __________ and __________. A. neurons . . . umbilical cord B. brain . . . spinal co

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b

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3 years ago

Henry wants to earn more than $68 trimming trees. He charges $6 per hour and pays $4 in equipment fees. What are the possible nu

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3 years ago

From a group of 13 women and 12 men, a researcher wants to randomly select 8 women and 8 men for a study. In how many ways can

Fantom [35]

The total number of ways the study can be selected is: 637065

Given,

Total number of women in a group= 13

Total number of men in a group = 12

Number of women chosen = 8

Number of men chosen = 8

∴ the total number of ways the study group can be selected = 13C₈ and 12C₈.

This in the form of combination factor = nCr

∴ nCr = n!/(n₋r)! r!

13C₈ = 13!/(13 ₋ 8)! 8!

= 13!/5!.8!

= 1287

12C₈ = 12!/(12₋8)! 8!

= 12!/5! 8!

= 495

Now multiply both the combinations of men and women

= 1287 × 495

= 637065

Hence the total number of ways the study group is selected is 637065

Learn more about "Permutations and Combinations" here-

brainly.com/question/11732255

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2 years ago

Use the method of ELIMINATION to solve the system. You must SHOW ALL WORK. Make sure you have an answer for both x and y.

jekas [21]

Answer:

<h3>Required <u>Answer</u><u>:</u><u>-</u></h3>

$\sf 4x+8y=10\dots\dots (1)$

$\sf -4x+2y=-30\dots\dots (2)$

by adding eq (1) and eq (2) we get

${:}\longrightarrow$ $\sf 4x+8y=20$

${:}\longrightarrow$ $\sf -4x+2y=-30$

<h2>__________________________</h2>

${:}\longrightarrow$ $\sf 10y=-10$

${:}\longrightarrow$ $\sf y={\dfrac {-10}{10}}$

${:}\longrightarrow$ ${\underline{\boxed{\bf y=-1}}}$

Substitute the value in eq (2)

${:}\longrightarrow$ $\sf -4x+2 (-1)=-30$

${:}\longrightarrow$ $\sf -4x-2=-30$

${:}\longrightarrow$ $\sf -4x=-30+2$

${:}\longrightarrow$ $\sf -4x=-28$

${:}\longrightarrow$ $\sf x={\dfrac {-28}{-4}}$

${:}\longrightarrow$ ${\underline{\boxed{\bf x=7}}}$

$\therefore$ ${\underline{\boxed{\bf (x,y)=(7,-1)}}}$

6 0

3 years ago

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