Answer: 15x - 1500 > 0, 101 batches
Step-by-step explanation:
To begin, lets start by modeling this with a linear equation, (for sake of simplicity).
we can model this in the form y = mx + b, where y is 0, (meaning she isn't making profit OR losing money either).
Next, lets set up the parameters:
0 = mx + b. We can safely say that b, our constant, is -1500, because this is the money she "loses" every month.
Now we have 0 = mx -1500. We know she sells each batch for $20, so we also know that she makes 20x dollars for x batches. Our m = 20.
Now we have 0 = 20x - 1500. However, this equation is not completely correct, as we arent subtracting the cost for making each batch of cupcakes. The problem says that it costs her $5 to make each batch. So it will cost her 5x dollars for making x batches. If we subtract this from how much she sells each batch for, we get the profit she makes from selling each batch. So she makes a profit of (20x - 5x) = 15x dollars for x batches of cupcakes.
Out completed equation is 15x - 1500 = 0.
Solving this equation for x will give us how many batches she needs to sell to break even. To model this as an inequality for profit we simply replace the "=" sign with a ">" sign.
So our completed inequality is 15x - 1500 > 0
Solving this for x:
15x - 1500 > 0
15x > 1500
x > 100
Amanda needs to make more than 100 batches per month to make a profit. The greatest number of whole number batches over 100 is 101; so she needs to sell atleast 101 batches to make a profit every month.
WRITE Math Write two ways you could use to find 5 + 8.
Answer:
8+5 and 8--5
Step-by-step explanation:
minus and minus is plus and 5+8 =8+5
Urgent!!! Simplify the complex rational expression?
Answer:
(3x +2w)/(2x -3w)
Step-by-step explanation:
The usual rules for adding and dividing fractions apply:
(a/b) +(c/d) = (ad +bc)/(bd) . . . . . . . use a common denominator
(a/b)/(c/b) = a/c . . . . . . . . . . . . same denominators "cancel"
__
[tex]\dfrac{\dfrac{3}{w}+\dfrac{2}{x}}{\dfrac{2}{w}-\dfrac{3}{x}}=\dfrac{\dfrac{3x+2w}{wx}}{\dfrac{2x-3w}{wx}}=\boxed{\dfrac{3x+2w}{2x-3w}}[/tex]
Draw a model of 1/2 ÷ 4
Answer:
1/2 split into 4 parts
Step-by-step explanation:
i cant draw it
write an algebraic expression for the following phrases.
1. 34 more than a number __
2. twice a number minus 12 __
3. 16 less than a number __
4. a number increased by 45 __
5. the difference of 23 and a number __
6. decrease a number by 7 and multiply by 6 __
7. 4 tikes a number subtracted from 78 __
8. increase the product of a number and 4 by 10 __
9. the sum of 3 times a number and 2 __
10. a number times the difference of 13 and a number. __
Answer:
1. x + 34
2. 2x - 12
3. x - 16
4. x + 45
5. 23 - x
6. 6(x - 7)
7. 78 - 4x
8. 4x + 10
9. 3x + 2
10. x(13 - x)
Step-by-step explanation:
For problems like this in the future, pay attention to the order of words, and how they go together! For example- "the difference of 23 and a number" means to subtract a number from 23, whereas "the difference of a number and 23" would mean to subtract 23 from the number. Words like "increase" and "sum" both mean addition; "product" and "times" both mean multiplication; "difference" and "less" mean subtraction. Just keep these in mind (and watch for context)!
I hope this helped! :)
The length of a rectangle is 6 inches more than the width. If the perimeter is 68 inches, what are the length and the width?
Answer: The length of the rectangle would be 20 inches and the width would be 14 inches.
Step-by-step explanation:
If the length is 20, first, it’s 6 more than 14, and second it would add up to 40. If the width is 14, it’s 6 less than 20, and adds up to 28. If you add those two together, you’d get your total of 68 inches for the perimeter!
The table shows the number of gallons of gas used and the number of miles driven. Gallons of Gas Used 12 15 18 12 14 16 Miles Driven 300 400 450 350 400 450 Is the resulting data set a function? Explain your reasoning. A The table is a function. The function can have more than one input value paired with the same output value. B The table is a function. The function can have more than one output value paired with the same input value. C The table is not a function. The function cannot have different input values paired with the same output value. D The table is not a function. The function cannot have the same input value paired with different output values.
There is one input being mapped into two different outputs, so this is not a function. The correct option is D.
What is a function?A function is a relation that maps elements from one set (the domain) into elements from another set (the range). Such that each element from the domain can be mapped into only one element from the range.
In this case, the table is:
Gallons of Gas Used: 12 15 18 12 14 16Miles Driven: 300 400 450 350 400 450So, the input "12" appears twice, the first time is mapped into 300 miles, and the second time is mapped into 350.
So the same value from the domain is being mapped into two different values of the range, meaning that this is not a function. So the correct option is D.
If you want to learn more about functions, you can read:
https://brainly.com/question/13136492
here a subtraction problem that has been solved incorrectly for 21-9=11 choose the addition sentence that check this subtraction problem the choices are 21-9=11 29+9=30 what is the correct answer but my answer came to 21+9=30 all it said is change it to a addition problem
Answer:
11+ 9 = 20
Step-by-step explanation:
=> 21-9=11
21 - 9 equals to 11 is actually a wrong answer
So in order to find the subtraction problem that will help us truly know whether the equation is wrong
=> 11+ 9 = 20
OR THE SECOND EQUATION IS
=> 21 - 11 = 10
Base 10 refers to which number system?
Answer:
Base 10 is always the decimal system which is from (0-9).
Gary bought a bond with a face value of $12,000 and a coupon rate of 6.5% The bond will mature in 10 years
How much interest will he receive semiannually?
$780
$650
$468
16 $390
1 2 3
1144
Next
The inerest that Gary will receive semiannually on the bond he bought is $390.
What is the interest?
Interest is the regular payment a bondholder would receive during the live of the bond. When the interest is received semiannually, it means the bondholder is paid twice a month.
Interest = face value x (coupon rate / 2)
(6.5 / 2) x $12000= $390
To learn more about interest, please check: https://brainly.com/question/26164549
Answer:
$390
Step-by-step explanation:
12,000 x 6.5% = 780
780/2=390
took the test
Identify the range of the function shown in the graph
Answer:
[-1, 1]
Step-by-step explanation:
The range will be all y-values that the function reaches. Here, we see that the function is periodic which goes through a pattern of waves. It will go forever in both directions of the x-axis. However, in the y-dimension, it ranges from -1 to 1. It will have brackets as it touches 1 and -1 instead of approaching.
14) Select all of the equations for which
x=3 is a solution.
18
A) = 6
6
B) x2=9
C) 5x = 15
D) 32 - x = 35
E) 202 + x) = 12
Answer:
D
Step-by-step explanation:
it is d because you have to subtract that to get 35
Help Me On This Plss!!
Answer:
1) In fig. (1) there are 2 shapes:
A Rectangle A triangleSo,
Area of Rectangle = l × b
where,
length (l) = 12 cm breadth (b) = 14 cm➮ 12 × 14
➮ 168
Hence, the area of rectangle is 168cm².
Now,
Area of Triangle = ½bh
where,
base (b) = 8 cm height (h) = 12 cm➮ ½ × 8 × 12
➮ ½ × 96
➮ 48
Hence, the area of triangle is 48cm².
Thus, Area of the whole fig. :
Area of Rectangle + Area of Triangle
➮ 168 + 48
➮ 216cm² (Ans)
2) In fig. (2) there are also 2 shapes :
A SemicircleA RectangleSo,
Area of Semicircle = ½ (πr²)
where,
pi (π) = 3.14 radius (r) = 5 inches➮ ½ × 3.14 × (5)²
➮ ½ × 3.14 × 25
➮ ½ × 78.5
➮ 39.25
Hence, the area of semicircle is 39.25 in².
Now,
Area of Rectangle = l × b
where,
length (l) = 10 inchesbreadth (b) = 15 inches➮ 10 × 15
➮ 150
Hence, the area of rectangle is 150 in².
Thus, Area of whole fig. :
Area of Semicircle + Area of Rectangle
➮ 39.25 + 150
➮ 189.25 in² (Ans)
[tex]\bold{\huge{\underline{ Solutions }}}[/tex]
Figure 1 :-Given :-
We have one composite figure that is composed rectangle and triangle The dimensions of rectangle are 12 cm and 14 cmThe dimensions of triangle are 12cm and 8cmTo Find :-We have to find the area of composite figure Let's Begin :-We have,
Composite figure composed of rectangle and triangleWe know that,
Area of rectangle
[tex]\bold{ = Length {\times} Breath}[/tex]
The dimensions of rectangle are 12cm and 14cmSubsitute the required values,
[tex]\sf{ = 12 {\times} 14}[/tex]
[tex]\sf{ = 168 \: cm^{2}}[/tex]
For triangle
Area of triangle
[tex]\bold{=}{\bold{\dfrac{ 1}{2}}}{\bold{ {\times} b{\times}h}}[/tex]
Subsitute the required values,
[tex]\sf{=}{\sf{\dfrac{ 1}{2}}}{\bold{ {\times}8{\times}12}}[/tex]
[tex]\sf{=}{\sf{\dfrac{ 1}{2}}}{\bold{ {\times} 96}}[/tex]
[tex]\sf{ = 48 \:cm^{2}}[/tex]
Thus, Area of triangle is 48 cm² .
Therefore,The total area of the composite figure
= Area of rectangle + Area of triangle
[tex]\sf{ = 168 + 48}[/tex]
[tex]\bold{ = 216\: cm^{2}}[/tex]
Hence, The area of given composite figure is 216 cm²
Figure 2 :-Given :-
We have one composite figure which is composed of semicircle and rectangle The dimensions of rectangle are 10 in. and 15 in. The diameter of semicircle is 10 in. Let's Begin :-Here, we have
Composite figure composed of rectangle and hemisphereWe know that,
Area of rectangle
[tex]\bold{ = Length {\times} Breath}[/tex]
The dimensions of rectangle are 10in. and 15 in.Subsitute the required values,
[tex]\sf{ = 10 {\times} 15}[/tex]
[tex]\sf{ = 150 \: cm^{2}}[/tex]
For hemisphere
Area of semicircle
[tex]\bold{ = 1/2{\pi}r^{2}}[/tex]
The diameter of hemisphere is 10 in. So, The radius of hemisphere will be 5 in. as it is the half of diameter.Subsitute the required values,
[tex]\sf{ =}{\sf{\dfrac{ 1}{2 }}}{\sf{ {\times} 3.14 {\times} (5)^{2}}}[/tex]
[tex]\sf{ = }{\sf{\dfrac{1}{2}}}{\sf{ {\times}3.14 {\times} 25}}[/tex]
[tex]\sf{ = 1.57 {\times} 25}[/tex]
[tex]\sf{ = 39.25\: in^{2}}[/tex]
Thus, The area of semicircle is 39.25 in².
Therefore,Total area of the given composite figure
= Area of hemisphere + Area of rectangle
= [tex]\sf{ = 150 + 39.25}[/tex]
[tex]\bold{ = 189.25\: in^{2}}[/tex]
Hence, The total area of the given composite figure is 189.25 in² .
Find the difference of the complex numbers.
(7 +3i)-(3-7i)
O A. 4 + 10i
O B. 10-4i
O C. 4- 4i
O D. 10 + 10i
Answer:
A) 4+10i
Step-by-step explanation:
(7+3i)-(3-7i)
7+3i-3-(-7i)
7+3i-3+7i
7-3+3i+7i
4+3i+7i
4+10i
Find the value of xx, yy, and zz, in the rhombus below.
Answer:
Step-by-step explanation:
Convert: 5,928 milliliters = ______ liters
0.5928 liters
5,928,000 liters
592.8 liters
5.928 liters
Answer:
5.928 liters is the correct answer
Step-by-step explanation:
Since 1 milliliter is 0.001 liters
Multiply both values by 5928.
1 x 5928 equals 5928 0.001 x 5928 = 5.928Therefore... 5928 milliliters equals 5.928 which is letter D
Answer:
The answer is 0.5928 liters
Step-by-step explanation:
1 liter is made of 1000 milliliters
So 5,929 ÷ 1000
gives us 0.5928
2.
The bus departs the bus terminal every 2 hours. If the first bus is
scheduled to depart at 10:35 a.m., when should the second
bus depart?
Answer:
12:35
Step-by-step explanation:
the first bus is at 10:35 so 10:35 + 2:00 = 12:35
Answer:
12:35 p.m.
Step-by-step explanation:
I mean it's pretty simple tbh. If the bus departs every two hours, then two hours from 10:35 is 12:35 p.m.
NO LINKS!! Solve each triangle. Please show work!!
1. a= 3, b= 4, C= 40°
2. a= 3, c= 2, B= 110°
3. a= 12, b= 13, A= 120°
4. a= 12, b= 13, c= 5
For problems 1, 2, and 4, check out this link
https://brainly.com/question/27021415
as they were answered there earlier.
=======================================================
Problem 3
Answer: Not possible to solveA triangle cannot be constructed with these parameters.
----------------------------
Explanation:
Use the Law of Sines to find angle B
sin(A)/a = sin(B)/b
sin(120)/12 = sin(B)/13
sin(B) = 13*sin(120)/12
sin(B) = 0.93819419
B = arcsin(0.93819419) or B = 180 - arcsin(0.93819419)
B = 69.75047247 or B = 180 - 69.75047247
B = 69.75047247 or B = 110.24952753
These angle values are approximate.
-----------
If B = 69.75047247, then,
A+B+C = 180
C = 180 - (A+B)
C = 180 - (120 + 69.75047247)
C = -9.75047247000001
We get a negative result which isn't valid.
This means B = 69.75047247 isn't valid either.
-----------
If B = 110.24952753, then,
A+B+C = 180
C = 180 - (A+B)
C = 180 - (120 + 110.24952753)
C = -50.24952753
We get a similar conclusion here as well.
-----------
No matter what value of B we go with, we end up with a negative value for angle C.
Negative angles are not allowed.
Therefore, we cannot construct a triangle with sides a = 12, b = 13 and angleA = 120 degrees.
This is one example of an SSA triangle leading to no possible solutions. Refer to the SSA ambiguous case for more info.
-----------
Check out the diagram below. Imagine that point B can be anywhere on the dotted circle. Imagine it can rotate around as in an animation. This circle is centered at point C and has radius a = 12. No matter where point B is placed, we cannot get it to land on the horizontal line to therefore form a triangle. Simply put: side a = 12 is too short.
I used GeoGebra to make the diagram and make sure it's to scale. This is to visually verify that we cannot construct such a triangle with these parameters.
A legend reads 1cm:15cm. If the scale drawing shows a ball that is 10cm in diameter, then what is the diameter of the ball in real life?
The diameter of the ball in real life given the scale of the drawing is 150cm.
What is the scale of the drawing?A scale drawing is a reduced form in terms of dimensions of an original image / building / object
Scale of the drawing = original dimensions / dimensions of the scale drawing
10cm x 15 cm - 150cm
To learn more about scale drawings, please check: https://brainly.com/question/26388230
Bob works at a café, where he earns $11 an hour. Which of the following graphs describes the amount of money that Bob earns after x hours?
Question 15 options:
A Cartesian plane with x-axis labeled "Time (hr)" and y-axis labeled "Earnings ($)". The line intersects the y-axis at y=0, and increases by $11 for every 1 hour.
A Cartesian plane with x-axis labeled "Time (hr)" and y-axis labeled "Earnings ($)". The line intersects the y-axis at y=11, and increases by $0.50 for every 1 hour.
A Cartesian plane with x-axis labeled "Time (hr)" and y-axis labeled "Earnings ($)". The line intersects the y-axis at y=11, and increases by $11 for every 1 hour.
A Cartesian plane with x-axis labeled "Time (hr)" and y-axis labeled "Earnings ($)". The line intersects the y-axis at y=0, and increases by $10 for every 1 hour.
Answer:
First one
Step-by-step explanation:
When he works 0 hr then he will make $0. So the line will intersect y axis at y= 0
He makes $11 an hr. So the earning increases by 11 for every 1 hr
4. Find the measure of one exterior angle of a regular octagon.
Answer:
Solving method
360°÷8 (number of sides)
= 45°
Simplify this expression.
2+. 3. 5-
Answer: B, because when we factor in each term it all checks out
How many 1/4 inches are in 3 inches? Draw a diagram to demonstrate your answer.
Answer:
12
Step-by-step explanation:
Marie built a sand castle that is made a
of two rectangular prisms. If there are
2,000 cubic inches of sand in a bag of
sand, how much sand was left after
Marie built her sand castle? Explain
how you found your answer.
Answer:
Are there any measurements for the size of the prisms? I think we need more info for this. I'll delete this when you answer and upload a new one :)
Step-by-step explanation:
The amount of sand left after building the sand castle is 290 inches³.
What is Rectangular Prism?Rectangular prism is a three dimensional shape which consist of six faces. The two faces are at the top and bottom and the other faces are lateral faces.
We have to find the volume of each of the rectangular prism to know how much sand is used to make the castle.
Volume of a rectangular prism = l × w × h
where l, h and w are length, height and width of the prism respectively.
Volume of larger prism = 15 × 15 × 6
= 1350 inches³
Volume of smaller prism = 9 × 8 × 5
= 360 inches³
Total volume of the castle = 1350 + 360 = 1710 inches³
Remaining sand = 2000 - 1710 = 290 inches³
Hence the sand that remains is 290 inches³.
Learn more about Volume here :
https://brainly.com/question/21308574
#SPJ2
If x2 + y2 + z2 = 9, dx dt = 3, and dy dt = 9, find dz dt?
Answer:
dz/dt = -(3x + 9y)/z
Step-by-step explanation:
x² + y² + z² = 9
2x dx/dt + 2y dy/dt + 2z dz/dt = 0
x dx/dt + y dy/dt + z dz/dt = 0
x * 3 + y * 9 + z dz/dt = 0
so
dz/dt = -(3x + 9y)/z
what is the ten thousand place in 360,881
Answer:
6
Step-by-step explanation:
1 is in the ones place, 8 is in the tens place, 8 is in the hundreds place, 0 is in the thousands place, which means 6 is now in the ten thousands place.
Answer:
6 is in the ten thousands place
Select the correct answer.
What is the circumference of this circle?
A.
25π
B.
50π
C.
5π
D.
10π
E.
None of the above
Answer:
D. 10π
Step-by-step explanation:
To find the circumference of a circle, use the equation:
circumference = 2πr
We can substitute the radius into this equation: c = 2 × π × 5. This is equal to 10π.
Hope this helps!
Two cars leave New York at the same time traveling in opposite directions. One travels at an average speed of 59mph and the other at 58mph. In how many hours will they be 468 miles apart?
Answer: In 4 HOURS they will be 468 miles apart.
Step-by-step explanation:
1st car DATA:
rate = 59 mph ; time = x hrs. ; distance = 59x miles
2nd car DATA:
rate = 58 mph ; time = x hrs. ; distance = 58x miles
EQUATION:
distance + distance = 385
59x + 58x = 468
117x = 468
x = 4 hours.
Please tell me the answer
Please help me ASAP if tell me how you get the answer I will mark brainliest!
Its not hard im just tired
Done this review 6 times today and the reviews 50 questions
Answer:
y=4x-6
Step-by-step explanation:
That is how you would graph it.
Hope this helps!
The first step is to find any two sets of points on the line to find the slope. Let's use (0, -6) and (4,10).
[tex]Slope=\frac{y2-y1}{x2-x1} =\frac{10--6}{4-0} =\frac{16}{4} =4[/tex]
Ok, now we found the slope. Now let's put it into the point-slope form which requires any one point on the line and the slope. Lets use the point (0,-6)
[tex](y-y0)=m(x-x0)\\(y+6)=4(x-0)\\y=4x-6[/tex]
The last equation is the slope-intercept form.
Hope that helped!
51
G
F
H
E
-3
0
A
D
В
C
A. Reflection across the x-axis followed by reflection across the y
axis
B. Rotation of 90° clockwise about the origin
across the x-axis
Answer: A
Step-by-step explanation:
Straight away, we can see there is some sort of reflection over the y-axis.
Eliminate B and D.Then, we can see that, there is a reflection over the x-axis.
Eliminate C.This matches up with A.