Answer:
Part A. Answer: The company will be successful selling 23 shirts.
Part B. Answer: The company will not be successful selling 10 shirts.
Part C. Answer: 13 shirts
Step-by-step explanation:
initial cost: $50
cost per shirt: $3
sale price per shirt: $7
number of shirts: x
The cost, y, of x shirts is
y = 3x + 50
Part A.
cost of 23 shirts
y = 3(23) + 50
y = 119
revenue from selling 23 shirts:
23 * $7 = $161
It costs $119 to make 23 shirts. They are sold for $161.
Part A. Answer: The company will be successful selling 23 shirts.
Part B.
cost of 10 shirts
y = 3(10) + 50
y = 80
revenue from selling 10 shirts:
10 * $7 = $70
It costs $80 to make 10 shirts. They are sold for $70.
Part B. Answer: The company will not be successful selling 10 shirts.
Part C.
To break even, the cost and the revenue must be equal.
Cost of x shirts: 3x + 50
Revenue from selling x shirts: 7x
7x = 3x + 50
4x = 50
x = 12.5
The break even point is 12.5 shirts. Since the number of shirts sold must be a whole number, the break even number is 13.
Part C. Answer: 13 shirts.
Which equation could be used to find the length of the hypotenuse?
Triangle A B C. Side A C is 5 centimeters and side C B is 8 centimeters. Hypotenuse A B is labeled c.
5 squared + 8 squared = c squared
5 squared + c squared = 8 squared
c squared minus 5 squared = 8 squared
8 squared minus 5 squared = c squared
Answer:
AC^2+BC^2= AB^2
So 5^2+8^2=c^2
5 squared + 8 squared = c squared
Please mark me as brainliest.
A rectangular solid with a square base has a volume of 4096 cubic inches - determine the dimensions that yield the minimum surface area
Answer:
side of base, a = 10.1 inches, height, h = 40.1 inches
Step-by-step explanation:
Volume of rectangular solid, V = 4096 cubic inches
Let the side of base is a and the height is h.
[tex]V = a^2h\\\\4096 = a^2 h ..... (1)[/tex]
surface area of the solid
[tex]S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2} from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches[/tex]
So, h = 40.2 inches
Solve the following equations:
a)
4b = 20
Answer:
b = 5
Step-by-step explanation:
You want to get b on one side alone so you divide by 4.
20 divided by 4 is 5.
Answer:
b = 5
Step-by-step explanation:
4b = 20
Whatever we do to one side of the equation, we have to do to the other.
To "isolate the variable", or get "b" by itself, we have to divide both sides by 4
4b divided by 4 is b, since "4b = 4 times b"
20 divided by 4 is 5
4b = 20
b = 5
Can anyone help me solve this circle?
=============================================
Explanation:
Focus on triangle OCT. We can see that the triangle is isosceles because OT = OC are two radii of the same circle. That consequently means angles T and C are the congruent base angles (rotate the triangle to see what I mean). The base angles are opposite the congruent sides.
Since base angle C is 35 degrees, that makes base angle T this measure as well.
-----------
We just found angle CTO is 35 degrees. Angle PTO is supplementary to this, so it is 180-35 = 145 degrees.
Now focus solely on quadrilateral PTOQ. The goal is to find angle O, aka angle QOT. We found angle T in the paragraph above and it's 145 degrees. Angle Q is 90 degrees assuming segment PR is tangent to the circle at point Q.
------------
Recall that for any quadrilateral, the interior angles always add to 360
let x be the measure of angle O, aka angle QOT
P+T+O+Q = 360
60+145+x+90 = 360
x+295 = 360
x = 360-295
x = 65
Therefore, angle QOT is 65 degrees
Tao uses elimination to solve the following system of linear equations.
Given:
The system of equation is:
[tex]-2x+4y=16[/tex]
[tex]2x+2y=8[/tex]
To find:
The solution of the given system of equations.
Solution:
We have,
[tex]-2x+4y=16[/tex] ...(i)
[tex]2x+2y=8[/tex] ...(ii)
Add (i) and (ii) to eliminate the variable x.
[tex]6y=24[/tex]
[tex]y=\dfrac{24}{6}[/tex]
[tex]y=4[/tex]
Putting [tex]y=4[/tex] in (ii), we get
[tex]2x+2(4)=8[/tex]
[tex]2x+8=8[/tex]
[tex]2x=8-8[/tex]
[tex]2x=0[/tex]
Divide both sides by 2.
[tex]x=0[/tex]
Therefore, the solution of given system of equations is (0,4). Hence, the correct option is A.
Answer:
(0,4) or A
Step-by-step explanation:
Edge 2021
35% of customers at a clothing store spend at least $20 per visit. Yesterday, 143 spent at least $20. Predict the number of customers who came to the store yesterday.
Answer:do 142 times 20 which is 2840 times 0.35 which is 994 I think not sure
Step-by-step explanation:
Answer:
Total number of customers = 143/35% = 409 approximately
Step-by-step explanation:
If the trend did not change yesterday, we estimate that 143 customers constitute 35% of the total number.
So
Total number of customers = 143/35% = 409 approximately
Two researchers are studying the decline of orangutan populations. In one study, a population of 784 orangutans is expected to decrease at a rate of 25 orangutans per year. In a second study, the population of a group of 817 orangutans is expected to decrease at a rate of 36 per year. After how many years will the two populations be the same?
The two populations will be the same after
years.
Answer:
3 years
Step-by-step explanation:
Let y = number of orangutans, and let x = number of years.
For each study, the population, y, after x years is:
First study:
y = 784 - 25x
Second study:
y = 817 - 36x
We set the populations equal and solve for x, the number of years.
784 - 25x = 817 - 36x
Add 36x to both sides. Subtract 784 from both sides.
11x = 33
Divide both sides by 11.
x = 3
Answer: 3 years
Use the line of best fit to predict the total amount of money earned in tips
after working 12 hours.
A. $100
B. $102
C. $120
D. $112
Answer:
So its C! Heart it if its explained well, thanks!
Step-by-step explanation:
There is a pattern. The ordered pairs look like this...(1,10), (2,20), (3,30), (8,80) etc. So if we keep going (12,120)
Answer:
C
Step-by-step explanation:
Express sin P as a fraction in simplest terms.
Answer:
1/15
Step-by-step explanation:
sin P = ON/PN = 2/30 = 1/15
Consider a function that describes how a particular car gas mileage depends on its speed. What would appropriate domain for this function?
A. 0 to 100 per hour
B. 0 to 50 miles per gallon
C. Times from 0 to 10 minutes
D. Times from -10 to 10 minutes
Answer: A. 0 to 100 per hour
==================================================
Explanation:
The phrasing "Depends on its speed" tells us that the speed is the independent variable, and therefore it's the x variable.
The domain is the set of allowed x values of a function, or allowed inputs. In this case, it appears the car's max speed is 100 mph.
Answer:
0 to 100 miles per hour
PLZZZZZ HELP ME ANYONE PLEASE HELP ME :(! Marcus has a box that is 4 1/2 feet long, 1/2 foot wide, and 2 feet high. What is the volume of the box?
Answer:
4.5
Step-by-step explanation:
A line is perpendicular to y=3x-8 and intersects the point (6,1). How can we find the slope of this perpendicular line?
Answer:
- [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 8 ← is in slope- intercept form
with slope m = 3
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex] ← slope of perpendicular line
Answer:
The Answer is B: We must find the opposite reciprocal of the slope of the line whose equation we were given.
Step-by-step explanation:
I have the same exact question and I also do acellus.
What is the slope of the line that contains the points (-2,7) and (2,3)?
The difference of the square of a number and 18 is equal to 3 times that number. Find the positive solution.
Answer: x=6 or x=-3
Step-by-step explanation:
x^2-18=3x
x^2-3x-18=0
(x-6)*(x+3)=0
x-6=0 x+3=0
x=6 x=-3
calculate the area of the rectangle with length 9cm and breadth 4cm
Answer:
36cm^2
Step-by-step explanation:
the answer is
area of rectangle =l×b
=9×4.
=32
Suzie's Slushes has increasing profits each week during the hot summer months. Suzie finds that each week during the summer her profits increase by 30% over what they were the previous week. In her first week of business, her profits were $300.
How much money will she make in all over 4 weeks?
Enter your answer, rounded to the nearest cent, in the box.
HELP FAST PLEASE
Answer: 1856.10
Step-by-step explanation:
Suzie will make $1856 in 4 weeks.
Suzie will make a profit of:The first week 300
The second week: 300 x 30% + 300 = 390
The third week: 390x (1430%) = 507
The fourth week: 507 × (1430%) = 659.1
So Sum to: 300 +390 +507 +659.1 = 1856.1
Profit is $1856.
Learn more about profit here: brainly.com/question/19104371
#SPJ2
Find the measure of arc ABC.
Answer:
Step-by-step explanation:
The angle (angle D) created by 2 tangents to a circle (DC and DA) is half of the difference between its intercepted arcs (arc ABC - arc AC):
[tex]65=\frac{1}{2}(x-[360-x])[/tex] If we don't know the measures of either of the arcs, but we DO know that the measure around the outside of a circle is 360 degrees, then we will call arc ABC "x", making arc AC "360 - x". Solving:
2(65) = 2x - 360 and
130 = 2x - 360 and
130 + 360 = 2x and
490 = 2x so
x = 245. This means that arc ABC is 245 and arc AC is 115.
Which could be the first step in solving the equation represented by the model below?
X X X x
II
O Add 4 negative unit tiles to both sides.
O Add 4 negative unit tiles to the left side, and add 6 negative unit tiles to the right side.
O Add 4 positive unit tiles to both sides.
O Add 6 negative unit tiles to the left side, and add 4 negative unit tiles to the right side.
PLEASE HELP GIVING BRAINLIEST I NEED THIS ANSWER TO GRADUATE
Answer:
area = 2.28
Step-by-step explanation:
area of triangle is 1/2*b*h
area = (1/2)*3.8*1.2
area = 2.28
Answer:
2.28
Step-by-step explanation:
Area of triangle =(base*height)/2
And base=1.2 cm
Height=38 mm ( change it to cm as they need the answer in square cm) which is 3.8 cm
So (1.2*3.8)/2=2.28
Of the first fifteen kindergartners, four of them select treat bags containing bubbles, and eleven of them select treat bags containing sidewalk chalk.
The next kindergartner in line is ____ to select a treat bag containing bubbles than of sidewalk chalk
Equally likely
Less likely
More likely
Two lines are intersecting. What is the value of x? Enter your answer in the box. Two straight lines intersecting each other where the consecutive angles formed are x plus twenty three degrees and two x plus four degrees.
Answer:
x = 51
Step-by-step explanation:
Supplementary angles total 180º
(2x + 4) + (x + 23) = 180
Combine like terms
3x + 27 = 180
Subtract 27 from both sides
3x = 153
Divide both sides by 3
x = 51
Answer:
Hello! x = 51
Step-by-step explanation:
OMG I CAN ANSWER FINALLY!
it is forming a supplementary angle meaning it will add up to 180 degrees
51 × 2 = 102 102 + 4 = 106
51 + 23 = 74
106 + 74 = 180 therefore x = 51 Hope that helps.
Which of the following options have the same value as 2% of 90? Choose 2 answers: А 0.2.90 B 0.02.90 200.90 2.90 E 2 . 90 100
Answer:
0.02.90 and 2.90
Step-by-step explanation:
2% of 90 equal to both 0.02.90 because are worth same.
One half of a melon was shared equally among 3 people. What fraction of the whole melon did each person get? explain
Answer:
1/2
Step-by-step explanation:
Given data
Total melon= 1 1/2
In simple fraction= 3/2
DIvide 3/2 by 2
= 3/2/3
=3/2 * 1/3
=3/6
= 1/2
Hence each person will get 1/2 of the whole water melon
That is the question below!
Answer:
Step-by-step explanation:
Dhehekej
help me please i could really use some help
the answer is in the picture
What is 20.1246117975 in Radical form
(please Explain each step)
the question is on the image.
d= distance travelled = 6 km
P= 5d²+270
= 5(6)²+270
=5 ×36 +270
= 180+ 270
= 450
Taxi fare = 450 pence
Between which two integers does -√46 appear on the number line please write in words
==========================================================
Explanation:
List out the perfect squares
1^2 = 12^2 = 43^3 = 94^2 = 165^2 = 256^2 = 367^2 = 498^2 = 64and so on. We can see that 46 is between 6^2 = 36 and 7^2 = 49.
We can say 6^2 < 46 < 7^2
Applying the square root to all three sides leads us to 6 < sqrt(46) < 7
Now multiply all three sides by -1. This will flip the inequality signs
We go from
6 < sqrt(46) < 7
to
-6 > -sqrt(46) > -7
It might help to order things from smallest to largest to get this
-7 < -sqrt(46) < -6
This means -sqrt(46) is between -7 and -6 on the number line
See the diagram below.
Answer:
Step-by-step explanation:
First notice that -√46 lies between -√49 and -√36, that is, between
-7 and -6.
Here all three numbers are negative because they lie to the left of zero (0) on the number line.
Greatest common factor for 16uv^8 and 28u^7v^2y^3
Answer: 3
Step-by-step explanation:
I think…
Triangle EFG is congruent to triangle YXZ by ASA. The congruent parts already marked in the picture. What other corresponding parts can be marked congruent by CPCTC? Select all that apply.
EG ≅ YX
∠F ≅ ∠X
∠E ≅ ∠G
∠F ≅ ∠Z
∠G ≅ ∠X
GF ≅ ZX
EF ≅ YX
EF ≅ ZY
Given:
Triangle EFG is congruent to triangle YXZ by ASA.
To find:
The other corresponding parts can be marked congruent by CPCTC.
Solution:
We have,
[tex]\Delta EFG\cong \Delta YXZ[/tex]
We know that the corresponding parts of congruent triangles are congregant (CPCTC). So,
[tex]\angle E\cong \angle Y[/tex]
[tex]\angle F\cong \angle X[/tex]
[tex]\angle G\cong \angle Z[/tex]
[tex]EF\cong YX[/tex], it is also written as [tex]FE\cong XY[/tex]
[tex]FG\cong XZ[/tex], it is also written as [tex]GF\cong ZX[/tex]
[tex]EG\cong YZ[/tex], it is also written as [tex]GE\cong ZY[/tex]
Therefore, the correct options are 2, 6 and 7.