Step-by-step explanation:
this is a linear programming problem.
the objective is to maximize profit
let the chocolate be x
and cookies be y
Maximize
2.5x+2y=P
constraint milk
3x+y=9------------------1
constraint flour
2x+4y=16----------------2
solving 1 and 2
3x+y=9
2x+4y=16
multiply 1 by 2 and 2 3 to eliminate x we have
6x+2y=18
6x+12y=48
-0-10x=-30
10y=30
y=30/10
y=3
put y= 3 in eqn 1 we have
3x+3=9
3x=9-3
3x=6
x=6/3
x=2
two trays of chocolate
three trays of cookies
2.5x+2y=P
2.5(2)+2(3)=P
5+6=P
P=$11
what is an expression equivalent to m^238/m^-79 in the form m^v, where v is an integer?
Answer:
[tex]m^{317}[/tex]
Step-by-step explanation:
In indices, the division postulate is true:
[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
Apply this to the question:
[tex]\frac{m^{238}}{m^{-79}} \\= m^{238-(-79)}\\= m ^{238+79}\\= m^{317}[/tex]
Hence the expression expressed in the form [tex]m^v \ is \ m^{317}[/tex]
find the equation of the line shown
Answer:
y=2x
Step-by-step explanation:
Answer:
y = 2x
Step-by-step explanation:
y intercept = 0
slope = rise/run
rise = 2
run = 1
2/1=2
slope is 2
Lily drew 37 hearts and 36 circles. What is the ratio of hearts to circles?
Simplify your answer if possible.
Answer:
37: 36
Step-by-step explanation:
You can not simplify. Have a good day!
A quarterback dropped back 5 yards behind the lone of scrimmage. Then, he passed the ball 14 yards. How far past the line of scrimmage did the ball travel? (Write an equation to represent this problem)
Answer:
9 yards
Step-by-step explanation:
-5 + 14 = 9
4 more than one third of a number n is 6. An equation is? The solution is n =?
Answer:
[tex]\frac{1}{3}[/tex]n + 4 = 6
6
Step-by-step explanation:
Given problem:
4 more than one third of a number n is 6
Unknown:
The equation = ?
Solution of the number = ?
Solution:
let the number = n
So, 4 more than one third of a number;
One third of n = [tex]\frac{1}{3}[/tex]n
4 more;
[tex]\frac{1}{3}[/tex]n + 4
is 6;
[tex]\frac{1}{3}[/tex]n + 4 = 6 (equation of the expression)
Let us now solve the equation:
[tex]\frac{1}{3}[/tex]n + 4 = 6
[tex]\frac{1}{3}[/tex]n = 6 - 4
[tex]\frac{1}{3}[/tex]n = 2
n = 6
A package of 5 pairs of insulated gloves costs $33.95. What is the unit price of the pairs of gloves?
Answer:
6.79
Step-by-step explanation:
Divide the number of whatever you have, by the price of it in total to find the unit price.
Answer:
$6.79 per pair
Step-by-step explanation:
1. Divide
33.95/5
2. Simplify
33.95/5=$6.79
Which best represents the change in the vertices of rectangle ABCD to form rectangle A'B'C'D'?
F) (x, y ) → (2x, 2y)
G) (x, y ) → (1.5x, 1.5y)
H) (x, y ) → (3x, 3y)
J) (x, y ) → (4x, 4y)
Answer:
F
Step-by-step explanation:
Find the maximum value of the function f(x) = -x^2 + 3x +2
Answer:
4.25
Step-by-step explanation:
-x^2 + 3x + 2 = 0
Divide by -1
X^2 -3x - 2 = 0
x^2-3x+ =2+2.25
(x-1.25)-4.25
(x-1.5)
M= 1/2
M= 2
M= -1/2
M=-2
Answer:
It should be 1/2
Step-by-step explanation:
PLEASE HELP! 50 points!
In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB.
The graph represents which system of inequalities?
A. y ≤ −2x + 3
y ≤ x + 3
B. y ≥ −2x + 3
y ≥ x + 3
C. y ≤ −3x + 2
y ≤ −x + 2
D. y > −2x + 3
y > x + 3
Answer:
C. y ≤ −3x + 2 . Not sure, but I'm kind of confident in my answer.
I need help please, can you help me?
Answer:
x= 16 degrees
Step-by-step explanation:
the angles can be a little hard to remember but just know that the angles that are outside of the transversal are exterior angles and if they are on the opposite sides of the line that passes through the parallel lines then they're alternate exterior angles and those angles that are inside are interior angles and if they are on the opposite sides of the line passing through the parallel then they are alternate interior angles .
what percentage is equal to 32/100
Answer:
32%
Step-by-step explanation:
32/100 is 32%
Rapid Rental Car Company charges a $55 rental fee and $0.25 per mile driven. For the same car, Capital Cars charges $45 for rental fee and $0.35 per mile. Write an equation and find the number of miles for which the companies’ charges will be the same.
Answer:
100 miles
Step-by-step explanation:
Let the number of miles driven = x
Rapid Rental Car Company charges a $55 rental fee and $0.25 per mile driven.
$55 + $0.25x
55 + 0.25x
For the same car, Capital Cars charges $45 for rental fee and $0.35 per mile.
$45 + $0.35x
45 + 0.35x
Equation :
55 + 0.25x = 45 + 0.35x
The number of miles for which the companies’ charges will be the same is calculated as:
55 + 0.25x = 45 + 0.35x
Collect like terms
55 - 45 = 0.35x - 0.25x
10 = 0.10x
x = 10/0.10
x = 100 miles
The number of miles for which the companies’ charges will be the same is
100 miles.
8. What is the result of (11x + 18i)(117 - 18i)?
Can someone please help me this question. It’s due today I will appreciate it .
14x2 + 28x5=
???????????
Answer:
168
Step-by-step explanation:
Ryan and two of his friends contribute $8.33 each, to buy a baseball bat from a sports shop. Find
the price of the baseball bat.
Answer:
24.99
Step-by-step explanation:
2x
Y=——— solve for a
a + 2b
Answer:
y= 2b
Step-by-step explanation:
a +2b
so make a the subjects of formular
a= 2b
a rectangular television's length is 3 inches more than twice its width. The perimeter of the television is 144 inches. What is the width of the television?
A. 23
B. 24
C. 25
D. 26
can someone explain bc I got small brain ykyk
Answer: A. 23
23 - Width
23x2 = 46
46+3 = 49
So..
49 - Length
lx2+wx2 = perimeter
49x2 = 98
23x2 = 46
98+46 = 144
The width of the television will be 23 inches. Then the correct option is A.
What is the perimeter of the rectangle?Let W be the rectangle's width and L its length.
The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be
Perimeter of the rectangle = 2(L + W) units
The length of a rectangular television is 3 inches longer than its width. The display has a 144-inch perimeter. Then the equation is given below.
L = 2W + 3 ...1
144 = 2(L + W) ...2
From equations 1 and 2, then have
144 = 2(2W + 3 + W)
72 = 3W + 3
3W = 69
W = 23 inches
The width of the television will be 23 inches. Then the correct option is A.
More about the perimeter of the rectangle link is given below.
https://brainly.com/question/15287805
#SPJ2
what’s the first step?
Answer:
It's correct answer
Step 1: Multiply 4 times x then 4 times 4
Step-by-step explanation:
Part A
What is the slope of the line?
A. - 1 / 2
B. -2
C.
D. 2
Part B
Conner says the graph shows that water is flowing at a rat of 2 gallons per minute. Is he correct? Use the drop-down menus to explain your answer
Conner (choose...) correct answer because the rate of the water flowing is (choose...) the slope. Water is flowing at a rate that is (choose...) 2 gallons per minute.
Answer:
2
Step-by-step explanation:
The 2 points are (2,1) and (4,2) so you have to do rise over run by doing y2-y1 divided by x2-x1 which will give you 2
{(5²)} ³×5⁴}÷5⁷ simplify and express the following as exponent
Answer:
The answer is 5³.
Step-by-step explanation:
You have to apply Indices Law :
[tex] {a}^{m} \times {a}^{n} ⇒ {a}^{m + n} [/tex]
[tex] {a}^{m} \div {a}^{n}⇒ {a}^{m - n} [/tex]
[tex] { ({a}^{m} )}^{n} = {a}^{mn} [/tex]
So for this question :
[tex]( {( {5}^{2}) }^{3} \times {5}^{4} ) \div {5}^{7} [/tex]
[tex] = ( {5}^{6} \times {5}^{4} ) \div {5}^{7} [/tex]
[tex] = {5}^{10} \div {5}^{7} [/tex]
[tex] = {5}^{3} [/tex]
3. Combine terms: 12a + 26b -4b – 16a.
(a) 4a + 22b,
(b) -28a + 30b,
(c) -4a + 22b,
(d) 28a + 30b.
Ok this was the hardest to answer....
Answer:
C
Step-by-step explanation:
Add 12a + -16a
Add 26 + -4b
Is 6.825 rational or irrational
Answer:
rational since all decimals that terminate are rational here is a sheet to help
6.825 is rational number.
What are rational numbers?A rational number is a number that is of the form p/q where p and q are integers and q is not equal to 0. The set of rational numbers is denoted by Q.
Given number: 6.825
Now, we know Terminating decimals like 0.35, 0.7116, 0.9768, etc., are rational numbers.
So, we can see that 6.825 is terminating decimal.
Learn more about rational and irrational number here:
https://brainly.com/question/24398433
#SPJ2
any luck of help? I'll brainlist uu promise . I really need it for correction :)
Answer:
the cist of entry for x adults
Answer:
i think it would be d)
Step-by-step explanation:
cuz like, it says to write an expression. for an expression, most of the time you need more than one like number and variable
hope this helped :)
Choose the stems that would be used to create a stem-and-leaf plot from this data: 28, 32, 38, 30, 31, 13, 36 35, 38, 32, 38, 15, 13, 24
Answer:
Step-by-step explanation:
3
Answer:
The best stems would be: 1, 2, and 3
Step-by-step explanation:
When you are making the stem and leaf plots, you are using the diget in the tens place as the stem
I’ll give the Brainliest.
Answer:
1.w+15=165
2.w equals 165 multiplied by 15
Step-by-step explanation:
There's really no step-by-step explanation its pretty simple.
What is the y-intercept of a line that has a slope of –3 and passes through point (0, –7)?
Answer:
b=-7 or the y-intercept is -7
Step-by-step explanation:
-7= =3(0)+b
-7=b
Find the mean of the binomial distribution for which n = 60 and p = 0.2. 10)
A) 3.1 B) 60 C) 12 D) 30
Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x " #50 cm and x " )50 cm. The charge densities on the planes are #50nC/m2 and )25 nC/m2 , respectively. What is the magnitude of the potential difference between the origin and the point on the x axis at x " )80 cm? (Hint: Use Gauss’ law.)
Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x = -50 cm and x = +50 cm. The charge densities on the planes are -50 nC/m² and +25 nC/m², respectively. What is the magnitude of the potential difference between the origin and the point on the x axis at x = +80 cm? (Hint:Use Gauss’ law.)
Answer:
ΔV = 2520 V
Step-by-step explanation:
We are given;
Charge density 1; σ1 = -50 nC/m² = -50 × 10^(-9) nC/m²
Charge density 2; σ2 = +25 nC/m² = +25 × 10^(-9) nC/m²
Now, formula for electric field strength is;
E = -(½ε)(|σ1| ± |σ2|)
ε is vacuum permittivity with a constant value as 8.85 × 10^(−12) C²/N.m²
|σ1| and |σ2| means we are taking the absolute values and would therefore not use the negative sign attached to them.
Now, in between x = 0 cm(0 m) and 50 cm (0.5 m), electric field generated by both charge densities would be in the same direction and thus;
E_in = -(½ε)(|σ1| + |σ2|)
E_in = -(½ × 8.85 × 10^(−12)) × [(50 × 10^(-9)) + (25 × 10^(-9))]
E_in = -4200 V/m
In contrast, when x ≥ 50 cm (0.5 m), electric field generated by both charge densities would be in opposite directions and thus;
E_out = -(½ε)(|σ1| - |σ2|)
E_out = -(½ × 8.85 × 10^(−12)) × [(50 × 10^(-9)) - (25 × 10^(-9))]
E_out = 1400 V/m
The magnitude of the potential difference from the origin to x = 80 cm(0.8 m) is calculated as attached;
From the attachment, we see that;
ΔV = 2520 V