Answer:
x = 5 (check steps below)
Step-by-step explanation:
first off lets combine like terms to make it simple so subtract 7x and 12x which comes out to be -5x and add -45 and 15 on the other side which equals -30 so we end up with
-5x -5 = -30
Now we add 5 onto the other side
-5x = -25
finally we divide by -5 on each side to have x by itself
x = 5
(the negatives cancel each other)
Island Water Sports provides rental equipment and instruction for a variety of water sports in a resort town. On one morning, a decision must be made on how many Wildlife Raft Trips and how many Group Sailing Lessons should be scheduled. Each Wildlife Raft Trip requires one captain and one crew person and can accommodate six passengers. The revenue per raft trip is $120. Ten rafts are available, and at least 30 people are on the list for reservations this morning. Each Group Sailing Lesson requires one captain and two crew people for instruction. Two boats are needed for each group. Four students form each group. There are 12 sailboats available, and at least 20 people are on the list for sailing instruction this morning. The revenue per group sailing lesson is $160. The company has 12 captains and 18 crew available this morning. The company would like to maximize the number of customers served while generating at least $1800 in revenue and honoring all reservations. Define the decision variables as follows and formulate the problem as a linear program. Let x be the number of Wildlife raft Trips to be scheduled. Let y be the number of Group Sailing Lessons to be scheduled.
The following constraints complete the problem:
120x + 160y ≥ 1800 (1)
x ≤ 10 (2)
2y ≤ 12 (3)
6x ≥ 30 (4)
4y ≥ 20 (5)
x + y ≤ 12 (6)
x + 2y ≤ 18 (7)
1) What does constraint (1) represent?
A) The maximum number of captions who can be deployed.
B) The maximum number of crews who can be deployed.
C) The minimum revenue requirement.
D) The maximum quantity of the rafts available.
E) The maximum quantity of the sailboats available.
F) The demand of raft trips that must be satisfied.
G) The demand of sailing lessons that must be satisfied.
2) What does constraint (4) represent?
A) The maximum number of captions who can be deployed.
B) The maximum number of crews who can be deployed.
C) The minimum revenue requirement.
D) The maximum quantity of the rafts available.
E) The maximum quantity of the sailboats available.
F) The demand of raft trips that must be satisfied.
G) The demand of sailing lessons that must be satisfied.
3) What does constraint (6) represent?
A) The maximum number of captions who can be deployed.
B) The maximum number of crews who can be deployed.
C) The minimum revenue requirement.
D) The maximum quantity of the rafts available.
E) The maximum quantity of the sailboats available.
F) The demand of raft trips that must be satisfied.
G) The demand of sailing lessons that must be satisfied.
Answer:
1) C
2) F
3) A
Step-by-step explanation:
Given that : X = number of Wildlife raft Trips to be scheduled.
while Y = number of Group Sailing Lessons to be scheduled.
1) Constraint (1) : 120x + 160y ≥ 1800
Represents the Minimum revenue requirement
2) Constraint (4) : 6x ≥ 30
Represents The demand of raft trips that must be satisfied.
3) Constraint (6) : x + y ≤ 12
Represents The maximum number of captions who can be deployed.
a, = 8 + 2(n - 1).
Dose anyone know this.
The Distance between the school and the park 6km there 1.6km in 1 mile how many miles are between the school and the park
Answer:
3.75
Step-by-step explanation:
6 km = 1.6 km
1 km = x
6 / by 1.6 = 3.75
HOPE ITS HELPFUL!
5624/6 with a remainder
Answer:
937.333
Step-by-step explanation:
Answer:
937.33 (rounded. Real answer: 937.333333)
Step-by-step explanation:
5,624 ÷ 6 = 937.33 (rounded since the real answer was: 937.333333)
Please help me solve this, I will give you brainliest.
Answer:
5h+10=50
Step-by-step explanation:
The sum of two numbers is 49 and the difference between these two numbers is 9.
What are these two numbers?
Answer:
the answer is 39 and 14.
The solution is, the numbers are 20 and 29.
What is Subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
Here, we have,
given that,
The sum of two numbers is 49
and the difference between these two numbers is 9.
let, the numbers are x & y
so, we get,
according to question:
x+y = 49 ...1
x-y = 9 ....2
so, simplifying we get,
2x = 58
or, x = 29
so, we get,
y = 20
Hence, The solution is, the numbers are 20 and 29.
To learn more on subtraction click:
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Please help!! Will give brainliest if correct!
If triangle RST is an equilateral triangle, find x and y.
A. x = 70, y = 35
B. x = 80, y = 40
C. x = 120, y = 30
D. x = 120, y = 40
Answer:
C.
Step-by-step explanation:
Dean walked from the library to the mall. For the
first 12 minutes, he walked at a speed of 80
m/min, but then he slowed his speed to 68
m/min for next 7 minutes. If he was still 130 m
away from the mall, what was the distance
between the library and the mall?
one fourth of a number is 12 find the number
Answer:
48
Step-by-step explanation:
If 12 is one-fourth of a number, just multiply 12 by four to find the whole number.
12 x 4 = 48
You could have also set this up as an equation
12 = 1/4x
And then divide 12 by one-fourth
12/(1/4) = 48
Darin needs to know the price per pound of clementines. What needs to change in the table so that the data on clementines is in units of pounds and cost?
Answer:
the table gives the cost for the number of three pounds bag of clemintines we need to change the number of bags to pounds to get the data or clemintines in units of pounds and cost.
Answer:
The table gives the cost for the number of three-pound bags of clementines. We need to change the number of bags to pounds to get the data for the clementines in units of pounds and cost.
Step-by-step explanation:
THIS IS THE SAMPLE ANSWERSomeone plz help me with this I will mark you as brainlyest
While attending a baseball game, Eva buys hamburgers and hotdogs for her family. The number of hot dogs bought is five more than the number of hamburgers bought. Hamburgers cost $6.25 each and hot dogs cost $3.75 each. Eva spent a total of $58.75 on the hamburgers and hot dogs.
Answer:
2.35 hamburgers
Step-by-step explanation:
H6.25 + H18.75 = 58.75
I WILL MARK BRAINLIEST BUT PLEASE ANSWER FAST
Answer:
B
Step-by-step explanation:
It had this question on my test. I already answered it. I put c and got it wrong. The answer is B.
∠A and ∠B are supplementary. m∠A = (6x + 12) , m∠B = (x + 28). Find the measure of each angle.
A box contains three types of fruits:
apples, bananas, and pears. There are
20 pieces of fruit in all. Of these, 3 are
apples and 11 are bananas. What is the
ratio of pears to bananas?
А
6 3 11
B 11 26
C 3: 11
D
11: 3
Ο Α
o
D
Answer:
d
Step-by-step explanation:
5 7/12 + 4 6/12 = 9 13/12 = 1 1/12 what's the error analysis?
Answer:boo
Step-by-step explanation:booooo
Answer:
5 7/12 + 4 6/12 = 9 13/12 is correct but 9 13/12 is equal to 10 1/12 not 1 1/12 because 13/12 is 1 1/12 and you have to add 1 1/12 to 9. So the error analysis is simplifying 9 13/12 to 1 1/12.
How do i turn 80% 0f 86- i know the answer but i don't know how to do it
Can someone please teach me
We know that of refers to multiplication (from BODMAS)
% means per hundred, i.e., 1/100
So, 80% of 86 is:
(80/100) × 86
or (4/5) × 86
or 4 × 17.2
or 68.8
Hope you understand
Answer:
68.8
Step-by-step explanation:
Let x be 80% of 86.
To find 80% of 86
[tex] \frac{80}{100} = \frac{x}{86} [/tex]
[tex]80 \times 86 = 100x[/tex]
[tex]6880 = 100x[/tex]
[tex]68.8 = x[/tex]
Or you can simply do it as:
[tex]86 \times 80\%[/tex]
[tex]86 \times \frac{80}{100} [/tex]
[tex] \frac{86 \times 80}{100} [/tex]
[tex] \frac{6880}{100} [/tex]
[tex]68.8[/tex]
I need help !!!!!In the figure shown
Answer: it is D
Step-by-step explanation:
SOMEONE HELP WITH MY LAST TWO PROBLEMS
Answer:
What are your last 2 problems m8
Step-by-step explanation:
Please help!
Choose 1 answer:
Monday
Tuesday
Wednesday
Thursday
Pls help - Solve for x
Answer:
-3
3x/(x^2+6x) = 1 is this the qstn?
if so then the ans is -3
Chloe runs the after-school cookery club.
The group will be baking 36 scones using the following recipe.
Recipe for 12 scones:
• 250 g self-raising flour
• 60 g butter
• 30 g caster sugar
• 175 ml milk
How much milk will be used?
ml
Answer:
525 ml
Step-by-step explanation:
12 : 175 ml
36 : x
= 175 × 36
= 6300
x = 6300/12
= 525 ml
The amount of milk that is used while baking 36 scones will be 525 mL.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
Chloe runs the after-school cookery club. The group will be baking 36 scones using the following recipe.
Recipe for 12 scones:
250 g self-raising flour60 g butter30 g caster sugar175 mL milkThe amount of milk that is used while baking 36 scones will be given as,
⇒ 175 x 36 / 12
Simplify the expression, then we have
⇒ 175 x 36 / 12
⇒ 175 x 3
⇒ 525 mL
The amount of milk that is used while baking 36 scones will be 525 mL.
More about the ratio and the proportion link is given below.
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PLEASE HELP ME IM BEGGING YOU!!!
FIND THE VALUE OF X
84 I'm sure it's that I did it before
A architect made a scale drawing of a house to be built. The scale is 2 inches to 3 feet. The house in the drawing is 24 inches tall. How tall is the actual house?
Answer:
36 feet.
Step-by-step explanation:
2 goes into 24 12 times, 12 times 3 is 36 therefore the actual house is 36 feet tall.
Question 2
Explain the difference between the graphs y = x3 and y = 3(x – 4)3 + 7.
Answer:
The first graph , y=x³ is a cubic function graph and that of the second graph, y = 3(x – 4)3 + 7 is a linear graph.
Step-by-step explanation:
The graph of y=x³ is a cubic function graph where the x term has the highest power of x as 3. As attached in the first graph.
The second graph for y = 3(x – 4)3 + 7. is a linear graph that can be written as;
y=(3x-12)3 +7
y=9x-36 + 7
y=9x - 29
which is a linear graph with a slope of 9 and cuts the y-axis at -29 as shown in the second attached graph.
Three workers arrive at work 15 minutes late, at a cost of $11 hour.
Answer:
They earned 8.25
Step-by-step explanation:
If they arrived late 15 minutes, then they lose a 1/4 of the pay. So they'd be making $8.25, and not the full $11 for that first hour.
Can anyone solve this for me. Thanks
Answer:
y=-1/3x+3
Step-by-step explanation:
HELP ME ASAP!!! I WILL MARK BRAINLIEST!!
8s + 6 + 2s - 4 + 4s
Answer:
14s + 2
Step-by-step explanation:
add the s values up and you’ll get 14s (8s + 2s + 4s) and then add the regular ones and you’ll have 2 (6 + -4)
Find the value of x
PLEAASEEE HELP!!!
Answer:
x = 37
Step-by-step explanation:
4x + 3 + x - 8 = 180
4x + x - 8 + 3 = 180
5x - 5 = 180
5x = 185
x = 37
Hope this helps!