A summer camp cookout is planned for the campers and their families. There is room for 200 people. Each adult costs 4, and each camper costs4,and each camper costs3. There is a maximum budget of $750. Write the system of inequalities to represent this real-world scenario, where x is the number of adults and y is the number of campers.
A. \begin{gathered}x + y \leqslant 200 \\ 4x + 3y \leqslant 750\end{gathered}x+y⩽2004x+3y⩽750
B. \begin{gathered}x + y \leqslant 750 \\ 4x + 3y \leqslant 200\end{gathered}x+y⩽7504x+3y⩽200
C. \begin{gathered}x + y \leqslant 200 \\ 3x + 4y \leqslant 750\end{gathered}x+y⩽2003x+4y⩽750
D. \begin{gathered} x + y \leqslant 750 \\ 3x + 4y \leqslant 200\end{gathered}x+y⩽7503x+4y⩽200
Answer:
Option A
The system of inequalities
x + y ≤ 200
4x + 3y ≤ 750
Step-by-step explanation:
Let the
Number of Adults = x
Number of campers = y
A summer camp cookout is planned for the campers and their families.
There is room for 200 people.
x + y ≤ 200
Each adult costs $4, and and each camper costs $3. There is a maximum budget of $750.
Maximum means the total cost is equal to or less than $750
$4 × x + $3 × y ≤ $750
4x + 3y ≤ 750
The system of inequalities
x + y ≤ 200
4x + 3y ≤ 750
Option A is correct
A) SSS
B) SAS
C) Not enough information
D) AAS
Answer:
c
Step-by-step explanation:
i’ll give u brainliest!! what is the area of shape 1 2 and 3
Answer:
Shape 1: 197.04
Shape 2: 125.44
Shape 3: 62.72
Step-by-step explanation:
For shape 1, you first need to find the radius to then find the area of a circle. Which is 394.08. Since this isn't a full circle, you will need to divide it by 2 to get 197.04. For shape 2(Easiest to find) You do 11.2*11.2 to get the answer of 125.44. And lastly for shape 3, you can basically do the same as what you did for shape 2. But since it is a triangle, you divide your answer by 2, to get the answer of 62.72.
Answer:
yes
Step-by-step explanation:
What is the equation of the line that passes through the point (-6, 6) and has an
undefined slope?
Answer:
x = -6
Step-by-step explanation:
undefined slope is always an x = line
so just do x = whatever x is
hope this helps <3
The field of study concerned with numbers, quantity, shapes and the relationships among them describes which of the following terms?
A.Division
B.Mathematics
C.Cooking
D.Measuring
Answer:
B: Mathematics
Step-by-step explanation:
Can someone help me with this geometry question.
What is the value of x?
(2x + 15)°
to
2x
A. 24
B. 33
C. 72
D. 75
Answer:
D. 75
Step-by-step explanation:
Write the fraction 9/12 as a percent
9/12 = 75%
if any questions just ask.
Answer:
75%Step-by-step explanation:
9/12 in percent = 9 ÷ 2 × 100%=0.75 × 100= 75%.l hope it helps you ❤❤HELP PLS ill mark u brainliest
Answer:
11
Step-by-step explanation:
Since angle 11 is next to angle 12, and they should add up to 180 degrees, which makes them supplementary angles.
Answer:
The person above me is right
A rectangular dog cage has a length of 4 1/2 feet and a width of 3 3/7 feet. What is the area of the cage?
(Help please)
Step-by-step explanation:
Area of rectangle =height×base
4 1/2×3 3/7=9/2×24/7=216/14=15 6/14=15 3/7
A milk truck delivers 457 dozen gallons of milk to stores in 1 day. Write and solve an equation to find g, the number of gallons of milk the milk truck delivers in 1 day I don't get it help!
Answer:
5484 gallons
Step-by-step explanation:
Given that:
Delivery in 1 day = 457 dozen gallons
g = number of gallons delivered on that day
Recall :
1 dozen = 12
Therefore, the number of gallons delivered in 1 day :
457 gallons * 12 = 5484 gallons
Find the Slope of the line that passes through the given coordinates. Enter as a fraction please
(11,7) and crosses the y-axis at 17
Answer:
follow the steps and you'll understand the question
Please help I’ll mark you as branlst
Answer:
6
Step-by-step explanation:
Since the degree of the angle is 45, we know that the triangle is isosceles. That means that the sides of the triangle, not including the hypotenuse, has a length of 3√2.
Using the Pythagorean theorem, which is a^2 + b^2 = c^2, we have (3√2)^2 + (3√2)^2 = c^2.
Note: c is the hypotenuse of the triangle.
18 + 18 = c^2
= 36 = c^2
Therefore, c = 6.
Determine if the data is skewed or symmetric.
Answer:
skewed
Step-by-step explanation:
33) What value for x makes this equation true? 4x + 3 = 23
Answer:
x = 5
Step-by-step explanation:
4x + 3 = 23
Subtract 3 from both sides;
4x = 20
Divide both sides by 4;
x = 5
Answer:
x=5
Step-by-step explanation:
4x+3=23
4x=23-3
4x=20
x=20/4
x=5
I need help on these 3 questions please!
Answer:
3/4*4=3
3/5*6=3.6
2/6*5=1.7
Convert 5 hours to minutes.
Answer:
300 min
Step-by-step explanation:
60 times 5 :)
TRUE OR FALSE
becomes zero for x=1
PLEASE HELP
Find the measure of each angle
Answer:
1 = 44° (Opposite angles>
2 = 77° (By Angle sum property of a triangle)
3 = 82° ('' '' ' '' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ''')
Help!!! il give brainlist
Answer:
Step below
Step-by-step explanation:
Line pass (-3 , 2) and slope = 4
y intercept (b) = y - mx = 2 - 4*(-3) = 14
y intercept: (0 , 14)
equation: y = 4x + 14
Any point on this line could be answer. x=1, y=18 (1,18) (2,22), (3,26) .....
How much time has passed?
Start time: 4:45 a.m. End time: 7:25 a.m.
Answer:
2 hours and 40 mins i think
Step-by-step explanation:
Help due today will give brainlist
Answer:
4 fancy and 5 plain
Step-by-step explanation:
When graphed, which set of data would represent a negative
relationship?
Answer:
it's A because as the temperature rises less people wear gloves
y = 5/4 x + 3.000000000
Answer:
151
Step-by-step explanation:
destiny just recived two seprate gifts from her great-grandmother
Answer:
And 2 from grand-pa pa
Step-by-step explanation:
Answer: 6 snack bags
Step-by-step explanation:
In rder to know mnay bags destiny ca make, we need a number is a factor of 18 and 12, so that the 18 chocolate candy bars and the 12 cookies can be divided up evenly.
So, if there were 2 bags, thre would be 18÷2=9 chocolate candy bars and 12÷2=6 cookies in a bag. This creates identical snack bags, but isn't the greatest number of bags!
To find the greatest snack bag, we want to find the greatest common factor of 18 and 12
To do so, let's find factors of 18 ans 12
18: 1, 2, 3, 6, 9, 18
12: 1, 2, 3, 4, 6, 12
The greatest common factor of 18 and 12 is 6. in math notation this looks like:
gcf (18, 12) = 6
The greatest number of identical bags can make is 6
Which statement correctly compares 1/3 and 3/8????
if f(x) is an even function, which function must also be even?
1) f(x-2)
2) f(x)+3
3) f(x+1)
4) f(x+1)+3
Answer:
Step-by-step explanation:
Option 2 is correct.
if function is even , it is symmetrical about y axis.
if this function shift horizontally it will not remain symmetrical about y axis
if this function shift vertically it will remain symmetrical about y axis
I have 10 goats, n of which are male. I need to choose 2 of them to make a casserole.
The probability both of my choices are male is 2/15
Use the information to form an appropriate quadratic equation N square + an + b = 0, specifying the constants a and b.
Answer: There are 4 male goats.
Step-by-step explanation:
We know that n of the 10 goats are male.
The probability that in a random selection, the selected goat is a male, is equal to the quotient between the number of male goats (n) and the total number of goats (10)
The probability is;
p = n/10
Now the total number of goats is 9, and the number of male goats is n -1
then the probability of selecting a male goat again is:
q = (n-1)/9
The joint probability (the probability that the two selected goats are male) is equal to the product of the individual probabilities, this is
P = p*q = (n/10)*((n-1)/9)
And we know that this probability is equal to 2/15
Then we have:
(n/10)*((n-1)/9) = 2/15
(n*(n-1))/90 = 2/15
n*(n-1) = 90*2/15 = 12
n^2 - n = 12
n^2 - n - 12 = 0
This is a quadratic equation, we can find the solutions if we use Bhaskara's formula:
For an equation:
a*x^2 + b*x + c = 0
The two solutions are given by:
[tex]x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
For our case, the solutions will be:
[tex]n = \frac{1 +- \sqrt{(-1)^2 - 4*1*(-12)} }{2*1 } = \frac{1+- 7}{2}[/tex]
The two solutions are:
n = (1 - 7)/2 = -3 (this solution does not make sense, we can not have a negative number of goats)
The other solution is:
n = (1 + 7)/2 = 4
This solution does make sense, this means that we have 4 male goats.
20. Find the solution to the system of equations by substitution.
x+y=6
3x-y= -22
Please solve step by step
Answer:
need more info sorry
Step-by-step explanation:
Taras garden is 3/8 are red flowers and 3/6 are yellow flowers which is greater
Answer: 3/6
Step-by-step explanation:
If you convert them into decimals you get
3/8 = 0.375
3/6 = 0.5
Answer: 3/6 is greater
Step-by-step explanation: