The constraints in the question are given by the definition of the variables;
The constraints are represented by the following equation and inequalities.
A. n ≥ 16D. s = 2·nF. 3s ≤ 225Reasons:
The budget of the principal = $225
Number of people expected = 16 people
Number of sandwich per person = 2
Cost of each sandwich = $3
Required:
To select the inequalities that represent the situation's constraint
Solution:
The variable that represent the number of people attending = n
The number of sandwiches = s
From the question , we have;
The number of sandwich per attendee = 2 sandwiches
The total number of sandwich, s, for n attendees = 2·n
Therefore, we have;
s = 2·n
The number of people attending is at least 16, therefore;
n ≥ 16
The cost of the s sandwich = $3 × s
The total cost should be less than or equal to given budget of $225,
therefore;
3s ≤ 225
The equations and inequalities that could represent the constraints are;
A. n ≥ 16, D. s = 2·n, and F. 3s ≤ 225
Learn more here:
https://brainly.com/question/11961809
Using 1 Ib = 0.45 kg, answer the following questions:
5. A woman buys 2 kg of tomatoes. How many pounds of tomatoes does she buy?
6. Butter is packed in 250 g packs. What will the mass, in pounds, of a pack of butter?
7. A shopper buys 5 Ib of apples. How many kilograms of apples are purchased?
8. A consignment of steel weighing 5 tonnes is delivered to a factory; how many tons of steel are
delivered? (Note: 1 tonne = 1000kg) (metric unit) and (1 ton = 1016 kg)
Answer:
Step-by-step explanation:
2 kg / 0.45 = 4.4 lb
0.25 kg / 0.45 = 0.56 lb
5 lb * .45 = 2.25 kg
5000 / 1016 = 4.92 ton
If you continue operating the tractor at its current level, how man
fertilize in the next hour?
A. 5.96 acres
B. 11.92 acres
C. 12.92 acres
D. 19.87 acres
Answer:
D. 19.87 acres
Step-by-step explanation:
do not put heart if wrong and put heart if correct
The container that holds the water for the football team is 2/3
full. After pouring out 3
gallons of water, it is 1/2
full. How many gallons can the container hold?
Answer:
18 gallons
Step-by-step explanation:
We'll find out how much of the total container was lost when pouring out by subtracting 2/3 from 1/2.
2/3 = 4/6
1/2 = 3/6
4/6 - 3/6 = 1/6
1/6 of the total amount the container could hold was lost when 3 gallons was poured out. This means that 1/6 of the container equals to 3 gallons. We can then simply multiply 3 by 6 to find the number of gallons of liquid the container can hold.
3 * 6 = 18 gallons
Checking my answer:
18 * 2/3 = 6 * 2 = 12
12 - 3 = 9
1/2 of 18 = 9
This means that our answer is correct.
A pillar is fixed at one of the corners of a square meadow. The length of each edge of the meadow is 30m and the angle of elevation of the top of the pillar from the opposite comer is found 60°. Find the height of the pillar.
(A) 93.49 m (B) 83.48 m (C) 69.93 m (D) 73.48m
Answer:
D. 73.48 m.
Step-by-step explanation:
The diagonal distance across the meadow
= √(30^2+30^2)
= √1800
tan 60 = h / length of the diagonal (where h = height of the pillar).
h = √1800 * tan 60
= 73.48 m
The required height of the pillar if length of each edge of the meadow is 30m and the angle of elevation of 60 degrees is 73.48m
Angle of elevation and depressionThe angle situated below the pillar is known as the angle of elevation
Determine the diagonal distanceThe diagonal distance across the meadow is calculated using the Pythagoras theorem:
l = √(30^2+30^2)
l = √1800
tan 60 = h/l
where h = height of the pillar
h = √1800 * tan 60
h = 73.48 m
Hence the required height of the pillar if length of each edge of the meadow is 30m and the angle of elevation of the top of the pillar from the opposite comer of 60 degrees is 73.48m
Learn more on angle of elevation here: https://brainly.com/question/25748640
what is the total with tax? price? $62.79 tax 9.5 percent
Answer:
$68.76
Step-by-step explanation:
price: $62.79
tax percent: 9.5%
total with tax : $62.79 + 9.5% of $62.79
= $68.755
house is between his school and the library, witch are one mile apart on the same street. A mile is 5280 feet. After school Nick walks 3195 feet to his house. How many more feet does he need to walk to get to the library? Explain
Answer:
2085 feet
Step-by-step explanation:
If the library and school are one mile apart and his house is in the middle then after he walks to his house he only has 2085 feet left to walk.
Write a function rule that represents b less than 8 is a.
A. b-8=a
B. 8-b=a
C. a=b-8
D. a=b+8
Answer:
Step-by-step explanation: b-8=a
5) What is the slope of the line?
50 POINTS PLS HELP ASAP AND THANK YOU
Answer:
The answer is C.
How many solutions exist for the mixed-degree system graphed below?
Answer:
(c) part two is correct ans.
Step-by-step explanation:
mark me as a brainlist plz.
What is the value of 7x (3 + x/4) when x= −8?
A −280
B −170
C −56
D 280
PLEASE HELP ME
Answer:
-56
Step-by-step explanation:
Equation = 7x( 3 + x/4)
f(x) = 7x( 3 + x/4)
f(-8) = 7( -8 )( 3+ -8/4 )
f(-8) = -56 ( 3+ ( - 2 ))
f(-8) = -56( 1 )
f(-8) = -56
-Chetan K
Like nobody is helpping me i been postting the same questions alot of time what are you doing yall want to to answer what yall want to answer i post the easy question that yall can and it ju0st like. who ever want to help there are questions on my page they are easy im telling you! 50 pts for who ever do and brainliest
Answer:
Sure if they are not too hard
Step-by-step explanation:
100 Points. Help solve.
Answer:
Step-by-step explanation:
[tex]\frac{8}{x} =cos 60\\\frac{8}{x} =\frac{1}{2} \\x=8 \times2=16\\\frac{y}{x} =sin60\\\frac{y}{16} =\frac{1}{\sqrt{2}} \\y=\frac{16}{\sqrt{2}} \\y=\frac{16}{\sqrt{2}} \times\frac{\sqrt{2}}{\sqrt{2}} \\y=\frac{16\sqrt{2}}{2} =8\sqrt{2}[/tex]
Answer:
the second option/x = 4, y = 8√3
Step-by-step explanation:
out of the tree options, the second one makes sense
To save for retirement at age 27 you start depositing $275 at the end of each month in an IRA that pays 5.75% compounded monthly.
How much will you have in the IRA if you plan to retire at 65?
I need also to find the interest.
Answer:
81972
Step-by-step explanation:
Help this help
someone plzzzzzzz help me will make brainlest
Answer:
[tex]31\frac{2}{3}[/tex]
Step-by-step explanation:
Hope this helps.
Have a great day!
9514 1404 393
Answer:
31 2/3
Step-by-step explanation:
No doubt you have been shown at least a couple of different strategies for multiplying mixed numbers.
1) Use the distributive property.
10(3 1/6) = 10(3) +10(1/6) = 30 +10/6 = 30 +5/3 = 30 + 1 2/3 = 31 2/3
__
2) Use improper fractions.
10(3 1/6) = 10(19/6) = 190/6 = 95/3 = 31 2/3
Plz help I need help
Answer:
x = 6
Step-by-step explanation:
This can be written as a ratio
7 : 2
21 : x
If you times one side by 3, you have to multiply the other side by three too:
2 × 3 = 6
∴ x = 6 when y = 21
2 (b) The line, L4, passes through the point (0,3)and is parallel to the line y - x + 3 = 0, find the equation of L4 -
Answer:
y = x + 3
Step-by-step explanation:
→ Rewrite y - x + 3 = 0 in y = mx + c format
y = x - 3
→ Find the gradient of L4
1
→ Rewrite into y = mx + c format
y = x + c
→ Substitute in ( 0 , 3 )
3 = 0 + c
→ Find c
c = 3
→ Rewrite into y = mx + c
y = x + 3
Usian bolt can run 100meters in 9.58 seconds . my car can drive 100kilometers an hour. which is faster, is it faster to travel 100meters in 9.58 seconds or 100 kilometers an hour
Answer:
Your car is faster of course
Step-by-step explanation:
100 km would be 100000 meters. Then you would need to know that if Usain bolt ran 100 meters every 9.54 sec then in 100000 meters he would have ran 9540 seconds which is also known has 159 minutes, which is more than 1 hour so your car is faster.
Help if so OMH thanks
Answer:
$2.80
Step-by-step explanation:
24.40-13.20=11.20
11.20/4=2.8
help please i need help on this
See the photo attached for the solution.
Plz help me
Determine whether the following sets form subspaces of R^3:
(a) {(x1,x2,x3)^T |x1+x3=1}
(b) {(x1,x2,x3)^T |x1=x2=x3}
Answer:
a.
Step-by-step explanation:
hope it's helpful
brainliest me pls
Let f(t)=4-3t^2. Evaluate f(t+1).
Answer:
f=4-3t^2/t+1
Step-by-step explanation:
What is P55 ? 5 25 1 120
Answer:
120
Step-by-step explanation:
I took the test
Helppp I’m in class and need answers
Answer:
Need answers for what? I would LOVE to help you hun but I cant help because there is nothing to answer.
Step-by-step explanation:
State the domain and range and determine if the relation is a function
Answer:
DOMAIN = {3, 4, 5, 6, 7}, RANGE = {2, 1, 9, 12}, the relation is a function.
Step-by-step explanation:
The domain of the relation is the set of points in A which have a tail connected to it. That is {3, 4, 5, 6, 7}.
The range of the relation is the set of points in B which have a tip connected to it. That is {2, 1, 9, 12}.
Since each element of the domain of the relation is associated with exactly one element of the range, the relation is a function.
how many 3/4s are in 1 2/4
Answer:
I think there is 6.
Step-by-step explanation:
Im not 100% sure tho :{
Hope this helps :}
Pls make brainliest :P
And have an amazing day <3
Help marking brainliest for who is right
Answer:
-4,-3 2/3, -1 2/3, -1/2, 2/3, 5 1/2
Step-by-step explanation:
Solve for x: 8 (3x + 10) = 28x - 14 - 4x
Answer:
[tex]8(3x + 10) = 28x - 14 - 4x \\ 8 \times 3x + 8 \times 10 = 28x - 14 - 4x \\ 24x + 80 = 24x - 14 \\ 0x = 94 \\ x = > has \: no \: solution[/tex]
What is the domain of the graph
Answer:
it D
Step-by-step explanation:
The Student Council is selling raffle tickets to raise money for the Winter Dance. They have a total of 275 tickets to sell and are told they must sell at least 82% of them to raise enough money. How many do they need to sell?
Answer:
226
Step-by-step explanation:
To find the percentage of a given value, firstly convert to a decimal by dividing by 100:
82 ÷ 100 = 0.82
Now, multiply this decimal by the number of tickets:
275 x 0.82 = 225.5
Because you can't sell half a ticket, round up.
This means the total of tickets they need to sell is 226.
Hope this helps!
help me please (I had to write something to ask this question)
Answer:
-5
Step-by-step explanation:
I think it would be -5 because if Celia had -3, that would take away from Janine, so then it would leave the points at 5. But, it says the team had 0 points all together, so wouldn't it be -5?