Answer:
At x = 15 ; price meets profit goal
At x = 25 ; price does not meet profit goal
Step-by-step explanation:
Constraint:
p < -15x2 + 600x + 60
P ≥ 5,000
x = shirt price ;
If x = 15
p ≤ -15(15²) + 600(15) + 60
p ≤ -3375 + 9000 + 60
p ≤ 5685
p ≥ 5000
5685 ≥ 5000 ( condition is met)
2.)
With a shirt price of $25
x = 25
p ≤ -25(25²) + 600(25) + 60
p ≤ -15625 + 15000 + 60
p ≤ - 565
p ≥ 5000
-565 < 5000 ( condition is not met)
a) When the price of the shirt is $15, the company meets its profit goals.
b) When the price of the shirt is $25, the company meets its profit goals.
What is the profit goal?The profit goal is met when the price of a good or service exceeds the costs of its production and sales.
At p < -15(15)^2 + 600 (15) + 60 and p <= -15(25)^2 + 600(25) + 60, the profit goal of $5,000 is met.
Thus, we can conclude that:
a) When the price of the shirt is $15, the company meets its profit goals.
b) When the price of the shirt is $25, the company meets its profit goals.
Learn more about the importance of financial planning in meeting the profits goal at https://brainly.com/question/12890843
#SPJ5
1) Solve 2 + 7x + 12 = 0 using factoring and the zero product property.
a) Factor2+7x+12
b) Use the zero product property to solve for x
b) Use the zero product property to solve for x
Answer:
7x+14=0, 7x=-14, x= -2
Step-by-step explanation:
add like terms, then get x on one side, number on the other, then divide both sides by 7
The decorating committee for a school
banquet decides to put flowers on each table. Each
batch of flowers will have 3 white carnations and
5 yellow carnations. The committee will need 60
white carnations. What is the total number of
white
and yellow carnations the committee will
need?
A. 20
B. 100
C. 120
D. 160
Answer:
D. 160
Step-by-step explanation:
This question can be solved by proportions, using a rule of three.
In this question:
For each 3 white carnations, 5 yellows are needed, which leaves us with 8 total carnations. So for 60 white, the total is:
3 white - 8 total
60 white - x total
So
[tex]3x = 60*8[/tex]
Dividing both sides by 3
[tex]x = 20*8 = 160[/tex]
The correct answer is given by option D.
Find the value 0.5 x 0.5 x 0.5=
Answer:
0.125
Step-by-step explanation:
0.5 x 0.5 x 0.5 = 0.125
Add the fraction 1/4 + 5/6 write your answer as a mixed number
Answer:
a common factor 4 and 6 have is 12. we can change this to get it to 12.
¼->3/12
⅚-> 10/12
add the new fractions together
3/12+10/12=13/12 or 1 and 1/12
The required answer is 1 1/12 as a mixed number when adding the fraction 1/4 + 5/6.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
The fractions are given in the question
1/4 and 5/6
We have to determine the addition operation,
⇒ 1/4 + 5/6
Take the LCM in the terms of fractions
⇒ 13/12
Convert the fraction to a mixed number by using long division to find the quotient and remainder
⇒ 13 ÷ 12 = 1 R1
The quotient will be the whole number in the fraction, and the remainder will be the numerator in the mixed number
⇒ 1 1/12
Therefore, the required answer is 1 1/12 as a mixed number.
Learn more about the fractions here:
brainly.com/question/10354322
#SPJ2
The inverse of x→y is:
Answer:
This is invertible
Step-by-step explanation:
pls give brainliest!
have a great day!
Answer this with detail, please!
Answer:
D
Step-by-step explanation:
Hello There!
In order for a relationship to be proportional it must follow these requirements:
It must have a constant rate of changeIt must go through the origin (0,0)The equation is put in y = kx form (where k = slope)Knowing this let us now look at each relationship
The first one indeed has a constant rate of change
However it has a y intercept of (1,0) so it doesn't go through the origin therefore it is not a proportional relationship
For B:
B is not a proportional relationship because it does not have a constant rate nor can we tell if it goes through he origin
The y value first adds by 7 then by 9 then by 6. (while the x value goes up 1)
in a constant rate of change relationship the slope is constant and goes up by a certain amount each time therefore relation b is not proportional
For C:
Like relation A it has a constant rate of change but its not put in y = kx form and has a y intercept. Because of this it is not considered a proportional relationship
For D:
Relation D happens to have a constant rate of change (as it has a vertical straight line). It also happens to pass through the origin (0,0)
The relation fulfills each requirement therefore D is your answer
Is -1/16 a rational number?
Answer:
yes ‐1/16 is rational number
solution ‐1/16=‐16
and every integer is a rational number
1/6 students are wearing blue shirts, and 2/3 are wearing white shirts. There are 36 students. How many students are wearing shirts that arent blue or white?
Answer:
6 students are wearing shirts that aren't blue or white
Step-by-step explanation:
1/6 + 2/3 = 5/6
5/6 are wearing either blue or white so 1/6 isn't wearing blue or white
there are 36 student and 1/6 means 36 divided by 6
36 divided by 6 = 6
3
To create privacy during testing, a window that measures 3.55 m by 2.28 m needs to be covered. All you have is sheets of paper which measure 21.6 cm by 28 cm. How many sheets of paper will it take to cover the window? answer rlly quick plzz
Answer:
2 sheets, or at least 1.34.
Step-by-step explanation:
What we need to do, is figure out the exact area of the window, and the area of the paper sheets. Then, we must convert meters to centimeters, in order to be correct.
Consider R to be the total area of the window.
Consider A to be the area of each sheet of paper.
3.55m * 2.28m = R
8.094m = R
21.6cm * 28cm = A
604.8cm = A
Now, we should convert meters to centimeters.
8.094m = 809.4cm
Then we'd divide to find out how much paper will be required
809.4 ÷604.8 = ≈ 1.34
So, they'll need want to have at least 1.34 sheets of paper, which isn't too unrealistic, but if we're looking for whole sheets, then they will need 2 sheets of paper.
Have a nice day, fam. Spread The Love.
What is the equation of the line that is the perpendicular bisector of the segment
with (10,-15) and (-10, 25) as endpoints?
y= kx + 10
y= kx + 5
y= -x + 10
y = 2x + 5
Answer:
y= kx + 5Step-by-step explanation:
Perpendicular bisector passes through the midpoint of the line.
The midpoint is:
x = (10 - 10)/2 = 0y = (-15 + 25)/2 = 5Slope of the line:
m = (25 - (-15))/(-10 - 10) = -2The line perpendicular to this has to have a slope of 1/2 as perpendicular lines have opposite-reciprocal slopes.
Use point-slope form and point (0, 5) to find the equation of the line:
y - 5 = 1/2(x - 0)y = 1/2x + 5Correct option seem B as others don't match ours
someone please help me answer this!!
Answer:
a = 18 ft is the answer.
Step-by-step explanation:
a = ?
b = 24 ft
c = 30 ft
According to the Pythagoras theorem,
a² + b² = c²
a² + 576 = 900
a² = 900 - 576
a² = 324
a = 18 ft
∴ a = 18 ft is the length of the missing leg.
Answer:
18 feet
Step-by-step explanation:
The Pythagorean theorem is a formula that can be used to find the unknown side length of a right triangle when given the length of the other two sides. The general formula for the Pythagorean theorem is the following,
[tex]a^2 + b^2 = c^2[/tex]
Where (a) and (b) are the legs of the right triangle, or rather the sides adjacent to the right angle of the right triangle. Additionally, (c) is the hypotenuse or the side opposite the right angle of the right triangle.
Substitute in the given values and solve, let parameter (a) represent the unknown side of the triangle,
[tex]a^2 + b^2 = c^2\\[/tex]
Substitute,
[tex](24)^2 + a^2 = (30)^2\\[/tex]
Simplify,
[tex]576 + a^2 = 900[/tex]
Inverse operations,
[tex]576 + a^2 = 900\\-576\\\\a^2 = 324\\\sqrt{}\\\\a = 18[/tex]
An agricultural researcher is interested in estimating the mean length of the growing season in a region. Treating the last 10 years as a simple random sample, he obtains the following data, which represent the number of days of the growing season. What is the point estimate of the population mean number of days of the growing season? 151 164 146 143 167 188 190 180 170 148 The point estimate is nothing.
Answer:
The point estimate of the population mean is 164.7
Step-by-step explanation:
Given
[tex]n =10[/tex]
[tex]Data: 151\ 164\ 146\ 143\ 167\ 188\ 190\ 180\ 170\ 148[/tex]
Required
The point estimate of the mean
To do this, we simply calculate the sample mean using;
[tex]\bar x =\frac{\sum x}{n}[/tex]
[tex]\bar x =\frac{151 +164 +146 +143 +167 +188 +190 +180+170 +148}{10}[/tex]
[tex]\bar x =\frac{1647}{10}[/tex]
[tex]\bar x =164.7[/tex]
couch Emanuel is trying to lose weight. he starts 2017 weighing 296 pounds. If he plans to burn enough calories to lose 3 pounds per week, then how many weeks will pass before Coach Emanuel is at most 251 pounds
Will give brainlist for once in my life
Answer:
15 weeks
Step-by-step explanation:
I just answered this one not too long ago
It will take 15 weeks for Emanuel to lose at most 251 pounds.
What is an equation?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
For example, 3x + 5 = 15.
Given that, Emanuel is trying to lose weight, he starts 2017 weighing 296 pounds.
If he plans to burn enough calories to lose 3 pounds per week,
We need to find that how many weeks will pass before Emanuel is at most 251 pounds,
So, let the number of weeks be x,
We will use here the concept of equations solving,
So, establishing the equations,
296 - 3x = 251
296 - 251 = 3x
45 = 3x
x = 15
Hence, it will take 15 weeks for Emanuel to lose at most 251 pounds.
Learn more about equations, click;
https://brainly.com/question/29538993
#SPJ3
HELP ME PLEASE SOME ONE!
Answer:
240 inches cubed
I see you have 4 mins left
Mr Goodwin finished grading his students homework at 4:12 PM if he spent an hour and 33 minutes doing this what time did he start
Answer:
2:21 pm
Step-by-step explanation:
Finished 4:12
He spent 1 hour and 33
4:12 - 1 hour 33
minus the hour
3:12
minus 33
12-33
2:21pm
Un tercio es menor que cuatro centésimos.?
Answer:
no por que 1/3 es menor que 4
Step-by-step explanation:
PLS ANSWER QUICK, HELP AND EXPLAIN
Answer:
C.
Step-by-step explanation:
Help plz
The commission system and the council-manager system were both new forms of
state government.
municipal government.
federal government.
county government.
Answer: B
Step-by-step explanation:
Answer:
municipal government.
Step-by-step explanation:
please help asap
i keep failing these quizzes i’m so confused
Answer:
try b
Step-by-step explanation:
How many positive integer values of x are solutions to the inequality 10 < -x + 13?
9514 1404 393
Answer:
2
Step-by-step explanation:
The solution to the inequality is ...
10 < -x +13
x < 3 . . . . . . . add x-10 to both sides
The additional restriction that x is positive makes this ...
0 < x < 3
The only integer solutions to this are x = 1 and x = 2.
There are two (2) positive integer values of x that are solutions.
Answer:
2
Step-by-step explanation:
We first solve the inequality:
10 < -x + 13
-3 < -x
3 > x.
The only positive integers less than 3 are 1 and 2, for a total of 2 solutions.
what is the area of the triangle shown above
Answer:
I don't see the triangle...
An artist uses 18 colors on an art palette to paint a picture. This is 72% of all the colors on the palette. How many colors are on the artist’s palette?
Answer:
25
Step-by-step explanation:
Write and solve an equation for the following.
Four more than one-half a number is three. What is the number?
Answer:
4+ [tex]\frac{1}{2}[/tex]x = 3
Step-by-step explanation:
4 + [tex]\frac{1}{2}[/tex]x = 3 (subtract 4 from both sides)
[tex]\frac{1}{2}[/tex]x = -1 (multiply both sides by 2)
x = -2
Answer:
4+ 1/2 x = 3
Step-by-step explanation:
X =-2
PLEASE HELPPPPPP ASAPPP
I WILL GIVE BRAINLEST FOR THE CORRECT ANSWER
Answer:
a. Find the multiples of 4 and 12 in the 30 to 40 range:
4 ⇒ 32, 36, 40
12 ⇒ 36
Answer = 36
b. Divisors of 24 ⇒ 2, 3, 4, 6, 8, 12, 24
Answer = 3
3 is the only odd divisor.
c. Gcd = Greatest common divisor that isn't zero.
35 divisors ⇒ 1, 5, 7, 35
42 divisors ⇒ 1, 2, 3, 6, 7, 14, 21, 42
Answer = 7
d. 98 divisors ⇒ 1,2,7,14,49,98
99 divisors ⇒ 1,3,9,11,33,99
Answer = 1
e. Answer = 25.
A number's greatest divisor is its own self.
-1/3 – ¼
please show work if you don`t please don`t answer the question
Answer:
-1/3 - 1/4
First, make common denominators
-4/12 - 3/12
Then subtract the numerators
- 7/12
An equilateral triangle has a side length of 10 units. What is it’s area?
Answer:
[tex]25\sqrt{3}=43.3\ \mathrm{units}[/tex]
Step-by-step explanation:
Area of a triangle = [tex]\frac{1}{2}ab\textrm{sin}(\theta)[/tex] where [tex]a[/tex] and [tex]b[/tex] are the sides of the triangle and [tex]\theta[/tex] is the angle between those two sides.
The side length are 10, and since its an equilateral triangle, the angle is 60 degrees. Thus, the area becomes [tex]\frac{1}{2}(10)(10)\textrm{sin}(60)=25\sqrt{3}=43.3\ \mathrm{units}[/tex]
What is the diameter of a circle with an area of 1,808.64 square meters, rounded to the nearest meter?
Answer:
Diameter = 47.99
Step-by-step explanation:
A circle with an area of 1,808.64 square meters, rounded to the nearest meter and the diameter = 47.99.
We have to determine
The diameter of a circle with an area of 1,808.64 square meters, rounded to the nearest meter.
What is the diameter of the circle?
A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. Equivalently, it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant.
Therefore we get the value of the diameter is = 47.99 meters.
To learn more about the circle visit:
https://brainly.com/question/24375372
#SPJ2
What is integration of 3x^2
helppppppppppppppppp
Answer: x > 4
x > 4 would look like that on the graph. If it was x is greater than or equal to 4, then the circle would be completely filled in. Hope this helped!
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
10.5
Step-by-step explanation:
I believe the graph is saying there is 6 glasses that have exactly 1¾ tablespoons. Therefore, you do 6 × 1¾ and get 10.5 or 10 ½ tablespoons
the answer is " 10.5 "