A basket holds at most 14 pounds of apples and oranges. There are at least 3
pounds of apples in the basket. This graph shows the system that represents
this scenario, where x is the weight of the apples and y is the weight of the
oranges.
Which point represents a viable solution?
Answers
Answer:
D
Step-by-step explanation:
First, there must be at least 3 pounds of apples in the basket. Apples are the first number, so B and D are our options. As it is impossible to have a negative weight of oranges, D is our answer
The point that represents a viable solution is D(4, 3).
What are systems of inequalities?At least two linear inequalities in the same variables make up a system of linear inequality in two variables. The graph of a linear inequality is the graph of all solutions to the system, and the solution of a linear inequality is the ordered pair that resolves all inequalities in the system.
The graph shows the system of inequalities:
x + y ≤ 14
x ≥ 3
y ≥ 0
where x is the weight of the apples and y is the weight of the oranges.
We need to find the point that represents a viable solution, which means it should satisfy all three inequalities.
Let's check each option:
A(2, 9):
2 + 9 ≤ 14 (satisfied)
2 < 3 (not satisfied)
9 ≥ 0 (satisfied)
A(2, 9) does not satisfy the second inequality, so it is not a viable solution.
B(3, -2):
3 + (-2) ≤ 14 (satisfied)
3 ≥ 3 (satisfied)
-2 ≥ 0 (not satisfied)
B(3, -2) does not satisfy the third inequality, so it is not a viable solution.
C(1, 14):
1 + 14 ≤ 14 (not satisfied)
1 ≥ 3 (not satisfied)
14 ≥ 0 (satisfied)
C(1, 14) does not satisfy the first inequality, so it is not a viable solution.
D(4, 3):
4 + 3 ≤ 14 (satisfied)
4 ≥ 3 (satisfied)
3 ≥ 0 (satisfied)
D(4, 3) satisfies all three inequalities, so it represents a viable solution.
Therefore, the point that represents a viable solution is D(4, 3).
To learn more about the systems of inequalities;
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Related Questions
I need help like NOW!
Answers
Answer:
5t
Step-by-step explanation:
kinda self explanatory
dividing it, adding it, and subtracting it wouldnt make sense for the equation youre trying to solve.
Answer:
5t
Step-by-step explanation:
HELP!!!!! Suppose the distance between two cities on a map is 5.2in the scale is 1 in =80miles what's the actual distance between the cities.
A) 408 miles
B) 400 miles
C) 424 miles
D) 416 miles
Answers
Answer:
80*5.2= 416
D: 416 miles
Which expression is equivalent to - 2/3 (6x + 15) ?
A.
4x + 10
B.
4x – 10
C.
-4x - 10
D.
- 4x + 10
Answers
Answer:
-4x - 10
Step-by-step explanation:
Given the expression -2/3(6x+ 15)
Open the bracket
-2/3(6x+ 15)
= -2/3 (6x) -2/3(15)
= -2(2x) - 2(5)
= -4x - 10
hence the equivalent expression is -4x - 10
Solve for the missing variable
Answers
Answer:
4x+4=5x-8
4x-5x+4=-8
4x-5x=-8-4
-x=-8-4
-x=-12
x=12
Step-by-step explanation:
Tina bought some gum. The number of pieces of each flavor of gum she bought is shown below. Gum Tina Bought Flavor of Gum Number of Pieces Grape 40 Cherry 40 Peppermint 20 TOTAL 100 What percent of the total number of pieces of gum are peppermint flavor?
Answers
Answer:
20/100 * 100=20 %
Answer:
I think it should be....
20%
helppp!!
right answers only please!
Answers
Answer:
Y-intercept
Step-by-step explanation:
The y-intercept is the part of the line that crosses the y-axis.
The red dot (where the arrow is pointing to) is the y intercept
Find the length of the hypotenuse left
Answers
Answer: 2.45
Step-by-step explanation:
I use pythagorean theorem after i found the total of leg A and leg B
1. When the point is reflected over x-axis, what will
the new coordinates of the new point be?
Answers
Answer:
(x , y) ----> (-x , y)
Step-by-step explanation:
(x , y) ----> (-x , y)
Example for 1. :
(-4,2) ---> (4,2)
Please help me!! I really need some help ASAP please
Answers
Answer: put a dot at the place you think 7 over 2 would be then put one at -2 on the x axis then drawn a line
Step-by-step explanation:
A group of seven friends went out for dinner together and they each paid the same amount for their meal. Their total bill was $68.95 what was the cost of one meal
Please answer I really need it <3
Answers
Answer:
9.85
Step-by-step explanation:
$68.95 Divided by seven friends = 9.85
You're Welcome :D
I’ll give u brainilest just help
Answers
Answer:
11 44 0.250
18 48 0.375
11 40 0.275
about number 3 i have no idea
Step-by-step explanation:
prove me wrong
Equivalent expression for m-(8-3m)
Answers
Answer:
4m-8
Step-by-step explanation:
answer
Answer:
4m - 8
Step-by-step explanation:
Given expression,
→ m - (8 - 3m)
Simplifying the expression,
→ m - (8 - 3m)
→ m - 8 + 3m
→ 4m - 8
→ 4(m - 2)
Hence, answer is 4m - 8.
HELP PLEASE! DELTA MATH! THANKS!
Last year at a certain high school, there were 140 boys on the honor roll and 68 girls on the honor roll. This year, the number of boys on the honor roll increased by 5% and the number of girls on the honor roll increased by 25%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).
Answers
Answer:
11.5
Step-by-step explanation:
Find new values:
140(1+0.05)=147
68(1+0.25)=85
Last Year This Year
Boys 140 147
Girls 68 85
Total 208 232
Find overall increase:
208(1+r)=232
1+r=1.115385
r=0.115385
Final Answer: 11.5%
The total number of students on the honor roll increased by 11.5%.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
The percentage increase in the number of boys on the honor roll is 5%, which means that the number of boys on the honor roll this year is 1.05 times the number of boys on the honor roll last year:
1.05 x 140 = 147
The percentage increase in the number of girls on the honor roll is 25%, which means that the number of girls on the honor roll this year is 1.25 times the number of girls on the honor roll last year:
1.25 x 68 = 85
Therefore, the total number of students on the honor roll this year is:
147 + 85 = 232
The percentage increase in the total number of students on the honor roll is:
((232 - 208) / 208) x 100% = 11.5385%
Rounding to the nearest tenth gives an answer of 11.5%.
Therefore, the total number of students on the honor roll increased by 11.5%.
Learn more about percentages here:
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Help!!! EASY!!! HELP DUE SOON!!!
Answers
18/9 = 2
3 x 2 = 6
Answer = 6
4 in.
5 in.
6 in.
I
Answers
a^2 + b^2 = c^2
4^2 + 5^2 = c^2
16 + 25 = c^2
41 =c^2
6.403124237432849 = c
So now since we have the answer, we need to figure out if this result and 6 are equal.
6^2 = 36
25 + 16 = 41
41 and 36 are not equivalent so if the case is that u want me to find the Pythagorean theorem, then the answer is that they aren’t equal. And the real answer is that c equals 6.403124237432849. Which means that 4in, 5in, 6in is not the correct order. And that 16in, 25, 41 is the correct order.
I hope this helped!
I need help with this question...
Answers
Answer:15
Step-by-step explanation:
since we are solving for y, we want to isolate y on one side.
6x+6=5y+10
-10 -10
6x-4=5y
divide both sides by 5
6/5x-4/5=y
A store is selling T-shirts. Which is the best deal?
8 for $26
5 for $30
4 for $15
12 for $39
10 for $45
Answers
divide cost by quantity. The lowest rate is the best buy:
26/8 = 3.25 each
30/5 = 6.00 each
15/4 = 3.75 each
39/12 = 3.25 each
45/10 = 4.50 each
The 8 for 26 and the 12 for 39 are both the same price each and are the better buys.
Help please
Which graph does not represent a function?
Answers
-2x + y = 1.3
2(0.5x - y) = 4.6
Answers
Answer:
x=-2.4
y=-3.5
Step-by-step explanation:
TRUE OR FALSE
becomes zero for x
Answers
Answer:
True
Step-by-step explanation:
A number pattern was created by dividing the previous term by 3. If the starting value for the pattern was 135, which of the following shows the resulting pattern?
A.
135, 45, 30, 5...
B.
135, 45, 15, 5...
C.
135, 45, 15, 2...
D.
135, 45, 30, 25...
Answers
Answer:
B. 135, 45, 15, 5...
Step-by-step explanation:
I'll go in order from 135 using the pattern shown (tᵇ/3)
135 / 3
135 = 120 + 15
135/3 = (120/3) + (15/3)
135/3 = 40 + 5
135/3 = 45
All four answer choices show this, so no elimination yet.
45 / 3
45 = 30 + 15
45/3 = (30/3) + (15/3)
45/3 = 10 + 5
45/3 = 15
A and D show 30 as term 3, so they are out.
15 / 3
15/3 = 5
C shows 2 as term 4, so that is also out.
This leaves B as the correct answer.
A water taxi travels around an island in a path that can be modeled by the equation y=0.5(x-14)^2 . A water skier is skiing along a path that begins at the point (6,4) and ends at the point (8,4)
Write a system of equations to model the problem.
Is it possible that the water skier could collide with the taxi? Explain
Answers
Answer:
A water taxi travels around an island in a path that can be modeled by the equation y =0.5(x - 16). A water skier is skiing along a path that begins at the point (6,6) and ends at the point (8. - 4).
a. Write a system of equations to model the problem.
b. Is it possible that the water skier could collide with the taxi? Explain
Step-by-step explanation:
Find the value of x in rectangle BCDE.
Find Value of x.
Answers
Answer:
34
Step-by-step explanation:
Answer:
x=34
Step-by-step explanation:
2x=x+34
-x -x
x=34
TADA! :D
Find ,giving your answer correct to 3 significant fig where necessary a. 60%of 850
Answers
Answer:
60%of 850
60×850÷100
=510
Can someone help me with this? I don’t understand it!! (Conditional Property)
Answers
Answer:
19%
Step-by-step explanation:
What is the probability that those who ordered a large drink was a cold one?
27 drinks in total
5 cold
5/27*100%
Hope this helps!
What are the Oder of operations
Answers
Answer:
PEMDAS
Step-by-step explanation:
P=Parentheses
E=Exponents
M=Multiplication
D=Division
A=Addition
S=Subtraction
PLS LOOK AT THE PIC AND HELPPP PLSSS
Answers
Answer:
4x + -6.03 = 2.07
Step-by-step explanation:
first one:
there are four big white boxes so that equals 4x
6 negative ones so its -6
3 negative 0.1 so its -0.3
add up 06 and -0.3 and that's -6.03
second one:
there are two squares that each equal one so that would be two and add the 7 0.1's and that will be 2.07
PLEASE HELP WILL GIVE BRAILEST TO CORRECT ANSWER!!!!
Marcus states that the polynomial expression 3x3 – 4x2y + y3 + 2 is in standard form. Ariel states that it should be y3 – 4x2y + 3x3 +2. Explain which student is correct and why.
Answers
Answer:
opps type miss
Step-by-step explanation:
miss type
Please help with these problems..
at least one.
Answers
Answer:
4(5q-8), q=6
4(5(6)-8)=
4(30-8)=
4(22)=
88
r+(-8)/2. r=12
12+(-8)/2=
4/2=
=2
(11b+4)/9. b=7
(11(7)+4)/9=
(77+4)/9=
(81)/9=
9
Step-by-step explanation:
I need help ASAP I’ll mark brainliest help please #1
Answers
Answer:
B
Step-by-step explanation:
8-5=3, 1-(-7)=8, 3^2+8^2=73, and the square root of 73 is 8.5
