1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kryger [21]
3 years ago
7

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

ses x as the larger number and uses the inequalities y ≤ 40 – x and y ≤ x – 20 to determine the possible solutions. She determines that x must be between 0 and 10 and y must be between 20 and 40. Determine if Chaneece found the correct solution. If not, state the correct solution.
A) Yes, Chaneece found the correct solution.

B) No, Chaneece mixed up the variables. The correct solution is that x must be between 20 and 40 and y must be between 0 and 10.

C) No, Chaneece should not have restricted the solution to quadrant I. The correct solution is that x can be all real numbers and y must be less than 10.

D) No, Chaneece looked at the wrong area of the shaded graph. The correct solution is that x must be between 0 and 30 and y must be between 0 and 40.
Mathematics
2 answers:
Fittoniya [83]3 years ago
7 0
The answer is B 
No, Chancee mixed up the variables
oksian1 [2.3K]3 years ago
5 0
<span>Chaneece chooses x as the larger number and uses the inequalities y ≤ 40 – x and y ≤ x – 20 to determine the possible solutions.

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

the answer is </span><span>A) Yes, Chaneece found the correct solution. </span>
You might be interested in
A certain town never has two sunny days in a row. Each day is classified as being either sunny, cloudy (but dry), or rainy. If i
11111nata11111 [884]

Answer:

the proportion of days that are Sunny is 0.2

Step-by-step explanation:

Given the data in the question;

Using markov chain;

3 states; Sunny(1), Cloudy(2) and Rainy(3)

Now, based on given conditions, the transition matrix can be obtained in the following way;

\left[\begin{array}{ccc}0&0.5&0.5\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right]

so let the proportion of sunny, cloudy and rainy days be S, C and R respectively.

such that, from column 1

S = 0.25C + 0.25R   -------------let this be equation 1

from column 2

0.5C = 0.5S + 0.25R

divided through by 0.5

C = S + 0.5R ---------------------- let this be equation 2

now putting equation 2 into equation;

S = 0.25(S + 0.5R) + 0.25R

S = 0.25S + 0.125R + 0.25R

S - 0.25S = 0.375R

0.75S = 0.375R

S = 0.375R / 0.75

S = 0.5R

Therefore,

from equation 2; C = S + 0.5R

input S = 0.5R

C = 0.5R + 0.5R

C = R

Now, we know that, the sum of the three proportion should be equal to one;

so

S + C + R = 1

since C = R and S = 0.5R

we substitute

0.5R + R + R = 1

2.5R = 1

R = 1/2.5

R = 0.4

Hence, the proportion of days that are Rainy is 0.4

C = R

C = 0.4

Hence, the proportion of days that are Cloudy is 0.4

S = 0.5R

S = 0.5(0.4)

S = 0.2

Hence, the proportion of days that are Sunny is 0.2

8 0
3 years ago
Write 2 1/2 miles in 3/4 hour as a unit rate
ValentinkaMS [17]

Answer:

3 1/3 mph

Step-by-step explanation:

2.5 ÷ 0.75 = 3.3

or

5/2 ÷3/4 = 5/2 · 4/3 = 20/6 or 10/3 = 3 1/3

4 0
3 years ago
20% of a restaurant customers order the chef’s special. 230 customers are anticipated to dine at the restaurant tonight. The sta
Serga [27]

Answer:

i don't knwo

Step-by-step explanation:

i

4 0
3 years ago
If SV⊥RT, m∠RSU = (17x – 3)°, and m∠UST = (6x – 1)°, find TSV
goblinko [34]

Applying the linear pair theorem, the measure of angle TSV in the image given is: 86°.

<h3>How to Apply the Linear Pair Theorem?</h3>

Given the following angles in the image above:

Measure angle RSU = (17x - 3)°,

Measure angle UST = (6x – 1)°

To find the measure of angle TSV, we need to find the value of x in the given expressions as shown below:

m∠RSU + m∠UST = 180 degrees (linear pair]

Substitute the values

17x - 3 + 6x - 1 = 180

Solve for x

23x - 4 = 180

23x = 180 + 4

23x = 184

x = 8

m∠TSV = 180 - 2(m∠UST) [Linear Pair Theorem]

m∠TSV = 180 - 2(6x - 1)

Plug in the value of x

m∠TSV = 180 - 2(6(8) - 1)

m∠TSV = 86°

Therefore, applying the linear pair theorem, the measure of angle TSV in the image given is: 86°.

Learn more about the linear pair theorem on:

brainly.com/question/5598970

#SPJ1

6 0
1 year ago
Find the volume of the cylinder. Use pi = 3.14* the height of 6 inches and a radius 4.5in​
ArbitrLikvidat [17]

Answer: 381.51 cubic inches

Step-by-step explanation:

1. Use the formula: V = πr^{2}h, or in this case, 3.14(4.5^{2})(6)

2. Simplify to 3.14(20.25)(6)

3. Simply multiply all three numbers using a calculator, or one by one if that's the preferred option.

4. You get: 381.51 cubic inches.

8 0
3 years ago
Other questions:
  • Simplify the expression. HELP PLEASE!!
    5·2 answers
  • How do you add fractions
    11·2 answers
  • Y=x^2+3x-7 y-5x+8=0 how many solutions are there
    12·1 answer
  • Determine the common ratio and find the next three terms of the geometric sequence
    9·2 answers
  • Please help with this I’m garbage at math:/
    13·1 answer
  • V, N, and K are collinear with K between N and V. If NV= -11x+220, VK= 3x+6, and KN= 18x-10, solve for x
    13·1 answer
  • Which point on the unit circle corresponds to −π ?
    9·2 answers
  • Can somebody please help me.
    10·1 answer
  • Please Find -15(-8) (will mark brainliest)
    8·2 answers
  • Identify the terms and like terms in the expression 2x2 – 3+6+4r.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!