Which of the following is a linear function?

The sum of two positive integers, x and y, is not more than 40. The difference of the two integers is at least 20. Chaneece choo

oksian1 [2.3K]

Chaneece chooses x as the larger number and uses the inequalities y ≤ 40 – x and y ≤ x – 20 to determine the possible solutions.

y ≤ 40 – x, if x must be between 0 and 10, y must be between 20 and 40 it is true
proof
for x=0 and y=10, y ≤ 40 – x equivalent to 10<40-0=40 it is true
x=10, y=30, y ≤ 40 – x equivalent to 30=40-10=30 it is true

the answer is A) Yes, Chaneece found the correct solution.

5 0

3 years ago

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Given the conditional statement, match the following.

Step2247 [10]

Hypothesis (p): A polygon is a square

Conclusion: (q): It is a rectangle

Inverse: q → p If a polygon is a rectangle, then it is a square

Converse: ~p → ~q If a polygon is not a square, then it is not a rectangle.

Contrapositive: ~q → ~p If a polygon is not a rectangle, then it is not a square

Your answers are correct

5 0

4 years ago

Please Help, Like Now

Andrei [34K]

Answer:

27

Step-by-step explanation:

if you do the triangle formula bxh/2

9x6/2=27

5 0

3 years ago

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A bird flies 61/2 mi in 20 min.

schepotkina [342]

$\frac{61/2}{20} = \frac{x}{81/8}$
multiply the 2nd fraction by 8/8 to get rid of the 8 in the denominator:
$\frac{61/2}{20} = \frac{8x}{81}$
simplify the 1st fraction by multiplying by 2/2:
$\frac{61}{40} = \frac{8x}{81}$
now, you can cross-multiply:
$61*81=40*8x$
$4941=320x$
$x=\frac{4941}{320}$ or $15 \frac{141}{320}$

8 0

4 years ago

Twelve of the 20 students in Mr. Skinner’s class brought lunch from home. Fourteen of the 21 students in Ms. Cho’s class brought

babymother [125]

Solution:

Number of students in Mr.Skinner's class who brought lunch from home if there are 20 students in the class=12

Fraction of students who brought lunch from home in Mr. Skinner's class= $\frac{12}{20}=\frac{3}{5}$

Number of students in Ms. Cho's class who brought lunch from home if there are 21 students in the class=14

Fraction of students who brought lunch from home in Ms. Cho's class= $\frac{14}{21}=\frac{2}{3}$

As Siloni is using two 15-section spinners to simulate randomly selecting students from each class and predicting whether they brought lunch from home or will buy lunch in the cafeteria.

Number of Congruent sectors in each Spinner=15

So, if we represent students from Mr. Skinner's class who brought lunch from home in Spinner having 15 congruent Sectors = $\frac{9}{15}$

So, if we represent students from Mrs. Cho's class who brought lunch from home in Spinner having 15 congruent Sectors = $\frac{10}{15}$

Mr Skinner class +1 = Mr's Cho's Class

So Ms Cho's class =One more sector of the Skinner-class spinner will represent bringing lunch from home.

Option A which is One more sector of the Skinner-class spinner will represent bringing lunch from home represents Ms Cho's Class.

9 0

3 years ago

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