Answer:
It's an equilateral triangle.
Step-by-step explanation:
For starters, the angle measures of any triangle all add up to 180 degrees. Because 2 sides of this triangle are 60 degrees, the two sides added up would be 120 degrees. Because 180 - 120 = 60, the unknown side is 60 degrees. Because an equilateral triangle is a triangle where all the angles or sides are equal, and all of the angle measures of the triangle are equal, it is an equilateral triangle.
What is the minimum value of the objective function, C, with the given constraints?
C=2x+3y
A) 2x+3y≤24
B) 3x+y≤15
C) x≥2
D) y≥3
Given:
The objective function, [tex]C=2x+3y[/tex],
Constraints,
[tex]2x+3y\leq 24[/tex]
[tex]3x+y\leq 15[/tex]
[tex]x\geq 2[/tex]
[tex]y\geq 3[/tex]
To find:
The minimum value of the given objective function.
Solution:
We have,
Objective function, [tex]C=2x+3y[/tex] ....(i)
The related equations of given constraints are
[tex]2x+3y=24[/tex] ...(ii)
[tex]3x+y=15[/tex] ...(iii)
[tex]x=2[/tex], it is a vertical line parallel to y-axis and 2 units left from y-axis.
[tex]y=3[/tex], it is a horizontal line parallel to x-axis and 4 units above from y-axis.
Table of value for (i),
x : 0 12
y : 8 0
Table of value for (ii),
x : 0 5
y : 15 0
Plot these points on a coordinate plane and draw these 4 related lines.
The sign of inequality of [tex]2x+3y\leq 24[/tex] and [tex]3x+y\leq 15[/tex] is ≤, it means the related lines are solid lines and the shaded region lie below the related line.
For [tex]x\geq 2[/tex], left side of the line [tex]x=2[/tex] is shaded.
For [tex]y\geq 3[/tex], shaded region is above the line [tex]y=3[/tex].
From the below graph it is clear that the vertices of the feasible (common shaded region) are (2,3), (4,3), (3,6) and (2,6.667).
Points [tex]C=2x+3y[/tex]
(2,3) [tex]C=2(2)+3(3)=4+9=13[/tex] (Minimum)
(4,3) [tex]C=2(4)+3(3)=8+9=17[/tex]
(3,6) [tex]C=2(3)+3(6)=6+18=24[/tex]
(2,6.667) [tex]C=2(2)+3(6.667)=4+20=24[/tex]
Therefore, the objective function is minimum at point (2,3).
Estimate the sum of 872 and 121 by rounding both values to the nearest hundred. What is the best estimate of the sum? 700 800 1,000 1,100
The answer is 1000
Step-by-step explanation:
Because 872 rounded is 900 and 121 rounded is 100 add 900 and 100 it's a thousand.
Megan is taking the bus from New York City to Montreal. The distance is 380 miles and the bus travels at a steady rate of 76 miles per hour. How long will the bus ride be?
Answer: 5 hours
Step-by-step explanation: 380/76
The bus will take 5 hours to reach Montreal from New York.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Distance between Montreal to New York = 380 miles
Speed of bus = 76 miles per hour
76 miles ⇒ 1 hour
1 mile ⇒ 1/76 hour
Multiply by 380 on both sides
380 miles ⇒ 380/76 hours = 5 hours.
Hence "The bus will take 5 hours to reach Montreal from New York".
For more information about ratio and proportion,
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Evaluate g(t) for the given values of t.
g(t)=|17-t|
A)g(11)=
B)g(12)=
Answer:
Step-by-step explanation:
g(t)=|17-t|
A)g(11)=|17-11|
= |6|
= 6
B)g(12)=|17-12|
=|5|
=5
An isosceles triangle has two sides of length n where n is an integer greater than 1. What is the smallest possible integer length of the third side?(1 point)
⌊n/2⌋+1
n−1
1
0
Answer:
1
Step-by-step explanation:
The answer is 1 because of the triangle inequality theorem. In order for the shape to be a triangle, two of the sides need to be smaller than one. The two sides we know of is n, n is equal to an integer greater than 1. So, in order for the triangle to be a triangle, the third side has to be at least 1. I also had the same question on my assignment.
Write 3/5 as a percent. Remember it has to be out of 100 so first make an equivalent fraction with 100 as your bottom number and then you can make it into a percent. Here’s an example: 9/10 = 90/100 = 90%
Answer:
60%
Step-by-step explanation:
3÷5 =
0.6
0.6×100
=60%
Find the difference.
can someone older tell me if i should drop out of high school and why or not
Hello there maybe you shouldn't drop out of highschool because you might find some opportunities and um its your choice.
Please help me
liza uses a total of 20 cups of batter to make x cupcake and a cake .he uses 2/3 cup of batter for each cupcake 4 cups of batter for the cake.
How many cupcakes x , can liza make she uses the batter.
Answer:
I think it is 24 cupcakes
True or False: If an equation has different slopes, it has no solution.
Answer:
it's true. because it has more type of sums and head pain will come
Answer:
When two equations have the same slope but different y-axis, they are parallel. Since the two equations never intersect, the system has no solutions.
you can decide your answer from that explanation!
Help please . I need to show full work to the teacher .
Solve for unknown variable
Answer:
b: 110.43
a:90.34
h:89.99
Step-by-step explanation:
check my image
Troy and Lisa were shopping for school supplies. Each purchased different quantities of the same notebook and thumb drive. Troy bought 4 notebooks and 5 thumb drives for $116. Lisa bought 2 notebooks and 3 thumb drives for $68. Find the cost of each notebook and each thumb drive.
Answer:NOTEBOOK= 4
THUMB DRIVE=20
Step-by-step explanation:
The cost of thumbdrive and notebook purchased are $20 and $4 respectively
Let :
Cost of Notebooks = n
Cost of Thumb drive = t
Troy :
4n + 5t = 116 - - - - (1)Lisa :
2n + 3t = 68 - - - - (2)Solving by elimination :
Multiply (1) by 2 and (2) by 4
8n + 10t = 232 - - - (3)8n + 12t = 272 - - - (4)Subtract (3) and (4)
-2t = - 40t = 40 ÷ 2 = 20From (1)
4n + 5(20) = 1164n + 100 = 1164n = 116 - 1004n = 16n = 16 ÷ 4 = 4Hence, cost of notebook is $4 and cost of thumbdrive is $20
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Help me i really need help
Choose the correct description of the pattern below. Then find the next 3 number
4 6 9 13.5
Each number is 1.5 times the previous number
Each number is 2/3 of the next number
Each number is 3/2 of the previous number
Written as decimals the next 3 numbers are
PlS HELP!
Function Operation helppppppppppp
Evaluate x + y , for x = 8 and y = -15
A. 7
B. 23 15 POINTS!
C. -7
D. -23
Can someone answer these 2 please and thank you
Find the zeros of the function and state the multiplicities.
f(x)= -6x^3+26x^2-28x
Answer:
X=0 {multiplicity of 1}
X=2 {multiplicity of 1}
X=7/3 {multiplicity of 1}
Step-by-step explanation:
After spending $19 dollars, Issac had twice as much money as Lara.
If Lara had $27, how much money did Issac have at first?
Answer:
73
Step-by-step explanation:
yes it is 73dddfmsmxk
Which operation can be used to solve for x? -3.2x = -4.8
Answer:
-3.2x=-4.8 ÷(-3.2)
x=1.5
Step-by-step explanation:
prove me wrong
PLEASE ANSWER ASASSP!!!!!!!!!!!!!!!!!!!!
Sovle the equation
6 (y + 1.5) = -18
What is y?
Answer:
6(y+1.5)=-18
6y+9=-18 -9
6y=-27 ÷6
y=-4.5
Step-by-step explanation:
prove me wrong
Answer:
-4.5
Step-by-step explanation:
6(y+1.5)=-18
y+1.5=-18/6
y+1.5=-3
y=-3-1.5
y=-4.5
The ratio using a colon is
82 and 23. Plzz. Help
3. Which situation could be solved using the equation -4 + 4 =0?
a) Teanni has $4 in her lunch account. She deposits $4 in her account when she gets to school.
b) Amanda recorded a temperature of -4°F at 8:00am. An hour later, the temperature
increased by 4°F.
c) Melany walks 4 blocks towards her home and stops at the store. She walks the remaining 4
blocks home.
d) Joshua places 4 counters, each representing -1, in a group. He creates a total of 4 identical
groups.
Answer:
b because -4°F plus 4°F would be 0°F
A company makes cylindrical candles by melting wax and putting into 3 inch diameter cylindrical jars one block of candlewax with a volume of 360 in.³ is used to make a box of 10 identical candles
I believe the answer is 1in
Answer: I said 1 inch. I am not 100% sure.
Step-by-step explanation:
I am once again asking for your help with solving this problem.
Answer:
llll, Vl, Vll
Step-by-step explanation:
1/2x(6x1x7)+11 show how to solve this problem
Answer:
32
Step-by-step explanation:
first multiply 6×1.
1/2×(6×7)+11
Then multiply 6×7
1/2×42+11
Third you multiply 1/2 and 42
1/2×42= 21
finally you add together 21+11
21+11= 32
What is the value of the expression 30 X 5 + 6 X 4
will give brainliest
Answer:
174
Step-by-step explanation:
Answer:
30 × 5 + 6 × 4= 150 + 24= 174Step-by-step explanation:
I hope it helps ❤❤(can u guys help me PLSSSSS ) A company sets sales goals for employees each month.
A: At her current pace, how many items will Kristina sell in 28 days?
B:Is she on track to meet the goal? Explain
When you add 98 to a number you usually...
Aneser:
+98
Step-by-step explanation:
when you are adding something to something to something else u put a plus sign to add it hope this helps
Please help!
What the values of the expression?
A. 3
B. 12
C. 27
D.81
Answer:
D. 81
Step-by-step explanation:
I am in the same class as you, I took the quiz and the answer was 81
