Select the correct answer.
Wanda is a cake designer with a specialty in rectangular silk screen photo cakes. For every cake that she makes, the width of the cake is 4 inches
more than the width of the photo in the center of the cake, and the length of every cake is two times its width. The area of the cake Wanda is
currently working on is at least 254 square inches,
If x represents the width of the photo, which inequality represents this situation?
Answers
Answer:
A. 2·x² + 16·x + 32 ≥ 254
Step-by-step explanation:
The given dimensional relationship between the dimensions of the photo in the center of the cake and the dimensions of the cake are
The width of the cake = The width of the photo at the center of the cake, x + 4 inches
The length of the cake = 2 × The width of the cake
The area of the cake Wanda is working on ≥ 254 in.²
Where 'x' represents the width of the photo (at the center of the cake), let 'W' represent the width of the cake, let 'L' represent the length of the cake, we get;
W = x + 4
L = 2 × W
Area of the cake, A = W × L ≥ 254
∴ A = (x + 4) × 2 × (x + 4) = 2·x² + 16·x + 32 ≥ 254
The inequality representing the solution is therefore;
2·x² + 16·x + 32 ≥ 254
Answer:
2x^2+16x+32>254
Step-by-step explanation:
Related Questions
Last week, Sally spent 50 minutes jogging. If x represents the number of minutes she jogged and y represents the number of calories burned, how many calories did Sally burn from jogging?
Answers
Answer:
500 calories :)
Step-by-step explanation:
2) (6 pts) A surveyor has taken the measurements shown below. Find the distance
across the lake.
Answers
Answer:
sine rule
Step-by-step explanation:
this can be solved using sine rule
sinA/a=sinnB/b
A solid with volume 8 cubic units is dilated by a scale factor of k to obtain a solid with volume V cubic units. Find the value of k which results in an image with each given volume.
a. 216 cubic units
k=
b. 1 cubic unit
k=
c. 1,000 cubic units
k=
Answers
Answer:
a. k = 27
b. k = 216
c. k = 0.216
Step-by-step explanation:
The value of the scale factor can be given by the following formula:
[tex]k = \frac{Final\ Volume}{Initial\ Volume}[/tex]
where,
Initial Volume = 8 cubic units
a.
Final Volume = 216 cubic units
Therefore,
[tex]k = \frac{216\ cubic\ units}{8\ cubic\ units}[/tex]
k = 27
b.
Final Volume = 1 cubic units
Therefore,
[tex]k = \frac{216\ cubic\ units}{1\ cubic\ units}[/tex]
k = 216
c.
Final Volume = 1000 cubic units
Therefore,
[tex]k = \frac{216\ cubic\ units}{1000\ cubic\ units}[/tex]
k = 0.216
-6(n + 1) = 42
N= ???
Answers
Answer:
n=-8
Step-by-step explanation:
Solve by isolating the variable by using the properties of equalities.
First, divide both sides by -6,
[tex]n+1=-7[/tex]
Then, subtract 1 from both sides,
[tex]n=-8[/tex]
This is the quickest method of solving the equation. However, it is also possible to solve by distributing the -6 in the beginning and then solving.
Find the equation of the line.
Answers
Answer:
y = -3/2x + 3
Step-by-step explanation:
y = -3/2x + 3
Rewrite each number sentence using numerals and symbols.Find 5 less than the product of 8 and 4 *
Answers
please help me.
Here are the final scores for professional soccer team for past 5 tournament
3, 4, 1, 5, 2
Find the mean absolute deviation of team's scores.
A. 1.2
B. 3
C. 0.6
D. 3.2
Answers
Answer:
B(3)
Step-by-step explanation:
reorder 1,2,3,4,5
middle number is 3
help me please ! i’ll mark brain list and double the points .
Answers
Answer:
32
Step-by-step explanation:
that just is the answer use pyth theorem them add 8
Because The result of the Pythagorean theorem is 24 and tht plus 8 equals 32 ur welcome
I will give you a Brianlist
whats 1+1
Answers
Answer
answer: 1 + 1 = 2 LOLLLLLL
what is this please!!!!! 20= -6+2n
Answers
Answer:
n = 13
Step-by-step explanation:
20= -6+2n
Add 6 to each side
20+6= -6+6+2n
26 = 2n
Divide each side by 2
26/2 = 2n/2
13 =n
what the answer to 7+4a=55?
Answers
4a=55-7
4a=48
a=48/4
a=12
What is the 20th term of the sequence 9,11,13,15,17
Answers
20, 23,24,27,29,21,22,44,41,33, 12
Step-by-step explanation:
46
Plz help with this problem
Answers
Hope this is helpful :)
Worth lots of point will give brainiest! Help ASAP! Has to be correct.
Find the measure of measurement of angle w.
Answers
Answer:
w=87
Step-by-step explanation:
4x+7=5x-13
7=x-13
x=20
pleease help me with 50 times 50 please
Answers
Answer:
2500
Step-by-step explanation:
Without multiplying order the following products from least to greatest
Answers
Answer:
It would be:
4 5/9 x 1/2
4 5/9 x 10/10
4 5/9 x 6
Step-by-step explanation:
The age of 10 factory workers is shown in the table. If a 58 year-old worker is added, by how much will this increase the median age of the workers?
Answers
Answer: 3 years
Step-by-step explanation:
usa test prep
i need the correct answer please i’ll give u a brainliest
Answers
Answer:
V=75.4 m^3
Step-by-step explanation:
V=pi*r^2*h
V=pi*2^2*6
V=4*6*pi
V=24*pi
V=75.39 or 75.4 m^3
Jason answered 12% of the questions on a test correctly. If
the test had 50 questions, how many did he answer
INCORRECTLY?
Answers
Answer: 44
12% of 50 is 0.12*50, which is equal to 6. This means that Jason answered 6 questions correctly. The test had 50 questions, so he must have answered 44 questions incorrectly.
Patrick is driving form Sydney to Canberra. He travels for 288km trip in 4 hours. What's his average speed?
Answers
Answer:
v = 72 km/h
Step-by-step explanation:
Given that,
The distance covered by the Patrick, d = 288 km
Time taken, t = 4 hours
We need to find the average speed of Patrick. We know that the average speed of an object is equal to the total distance covered divided by total time taken. Let it is v. So,
[tex]v=\dfrac{d}{t}\\\\v=\dfrac{288\ km}{4\ h}\\\\v=72\ km/h[/tex]
So, his average speed is equal to 72 km/h.
1
A central angle must have its vertex at...
A on the circumference of a circle
B) outside a circle
anywhere in a circle
D the center of a circle
Answers
Answer:
the answer is D. the center of a circle
Jim and Becky wash cars. Jim charges $10 plus $3 per car. Becky charges $12 plus $2 per car. Write an equation to show when the charges for washing cars are equal. please help
Answers
Answer:
3x+10=2x+12 Would be the equation and then solve.
Answer is x=2 y=16
The diameter of a truck wheel is 56.5 inches. What is the circumference of
the wheel?
Answers
Answer: 177.4999849 , or 56.5pi
Step-by-step explanation:
You simply divide the diameter by 2 to get the radius (28.25) and then plug into the circumference equation, 2*pi*r = Circumfrence.
Answer:
177.5 inches
Step-by-step explanation:
c = 2πr
d = r2
56.5/2=28.25
28.25x3.14= 88.705
88.705x2=177.41
Round, and you’ll get 177.5.
PLZ HELP ME I BEG U 50 pints
Answers
Answer:
1496.79 mm squared
Step-by-step explanation:
Have a good day :)
Answer:
Solution given;
perimeter of triangle=20+20+24=64mm
height of triangle =16mm
length of rectangle=23mm
breadth of rectangle=24mm
we have
Total surface area=perimeter of triangle *length + 2*area of rectangle
=64*23+2*23*24=2576mm²
Surface area=2576mm²
pleaseeeeee help!!!!!!!!!!
Answers
Answer:
The conditions for calculating a confident surgery were clearly not past.
Step-by-step explanation:
When you are testing a vaccine of a surgery, there needs to be a over 60% success rate at which the vaccine of the surgery is affective, otherwise, it is decided that that medical procedure of medicine isn't safe. There have been some exceptions in the past when a vaccine for example was used with a 40% success rate, only because the public required this vaccine in there time.
work out the value of y when T=38 and X=6
Answers
Answer:
What is the equation?
Willing to help!
Step-by-step explanation:
Solve for b.
b - 16 = 83
b =
Answers
Answer:
Hello! answer: b = 99
Step-by-step explanation:
To find b we just have to add 83 + 16 so
83 + 16 = 99 and 99 - 16 = 83 So B = 99
Answer:
B=99
Step-by-step explanation:
in our school school we were told that if a number is on the other side of the equals and it is - when you take it to the other side it will be addition so that is what I've just done hope you understand and if it was addition when we take it to the other side it would be subtraction.
In a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that a student has a cat given that they do not have a dog? ( NO LINKS )
Answers
Given:
Number of students who has a cat and a dog = 5
Number of students who has a cat but do not have a dog = 11
Number of students who has a dog but do not have a cat = 3
Number of students who neither have a cat nor a dog = 2
To find:
The probability that a student has a cat given that they do not have a dog.
Solution:
Let the following events:
A = Student has a cat
B = Do not have a dog
Total number of outcomes is:
[tex]5+3+11+2=21[/tex]
The probability that a student has a cat but do not have a dog is:
[tex]P(A\cap B)=\dfrac{11}{21}[/tex]
The probability that a student do not have a dog is:
[tex]P(B)=\dfrac{11+2}{21}[/tex]
[tex]P(B)=\dfrac{13}{21}[/tex]
The conditional probability is:
[tex]P\left(\dfrac{A}{B}\right)=\dfrac{P(A\cap B)}{P(B)}[/tex]
[tex]P\left(\dfrac{A}{B}\right)=\dfrac{\dfrac{11}{21}}{\dfrac{13}{21}}[/tex]
[tex]P\left(\dfrac{A}{B}\right)=\dfrac{11}{13}[/tex]
Therefore, the probability that a student has a cat given that they do not have a dog is [tex]\dfrac{11}{13}[/tex].
Does this represent a proportional or non-proportional relationship
Answers
Answer:
Non-proportionalStep-by-step explanation:
It's Non-proportional because the graph does not
pass through the origin.
[tex]-------------[/tex]
hope it helps...
have a great day!!
Debra and her study partner flipped a coin 90 times. they flipped 40 heads and 50 tails. What is the experimental probability that the next flip will be heads upl
Answers
Answer:
1/2
Step-by-step explanation:
If you have two possible outcomes then the chance you will get heads is 1/2.
Have a wonderful day! :)