The problem says we have a square flower bed to start out with.
Let's have the sides of the squares be "x". The area of this original flower bed is [tex]x^{2}[/tex].
Then, one side of the square is enlarged by 2ft, and another side 3ft. Our new flower bed dimensions are now (x+2) and (x+3). Multiply (x+2) and (x+3) to find the area, which gets you [tex]5x^{2} +6x+6[/tex].
We also know that the new area of the flower bed is twice the size of the original flower bed. Multiply the original area by 2, you get [tex]2x^{2}[/tex].
With the new area and the doubled original area, we can now make an equation: [tex]5x^{2} +6x+6=2x^{2}[/tex]
Solve for x, you get 6.
Hope this explanation helped, maybe a bit too many details but there's your answer, 6!
The side length of the original bed is 6 units
Area of squareThe formula for finding the area of the square is expressed as:
A = x^2
If one side of a square flower bed was enlarged by 2 ft and the other side was enlarged by 3 ft, the area of the bed becomes;
A = (x+2)(x+3)
A = x^2 + 5x + 6
If the area of a new flower bed became twice the area of an old one, then;
5x^2 + 6x + 6 = 2x^2
On factorizing, the value of x is 6 which shows that the side length of the original bed is 6 units
Learn more on the area of square here: https://brainly.com/question/25092270
Type the correct answer in each box.
Answer:
X = 30 degrees, z = 80 degrees and y = 70 degrees
please answer me without spamming
please help me i really need help please
Answer:
So, I think you're talking about 180-118, which is 62
Step-by-step explanation:
180-118=62
Need ASAP
What is the measure of angle m in kite klmn
8/9+8/9
enter answer as a fraction
Samir just finished renovating a house during the renovation he added a steel beam as a support the steel beam was 15 feet long and cost $135 complete the statement by selecting the correct dollar amount from the provided list
the cost of the beam was _______per yard
Answer:
$27
Step-by-step explanation:
According to your question. The complete cost was $135 for a fifteen feet long beam. If you are looking for the price per yard, a yard has three feet, therefore in fifteen feet, there are five yards.
15 divided into 3 equals 5
$135 divided into five equals $27
I hope this helps.
A random sample of 10 shipments of stick-on labels showed the following order sizes. 45,424 38,958 53,726 24,760 27,866 46,843 26,478 23,983 34,088 57,814
(a) Construct a 95 percent confidence interval for the true mean order size. (Round your standard deviation answer to 1 decimal place and t-value to 3 decimal places.) The 95 percent confidence interval _______to ________
(b) The confidence interval can be made narrower by:________.
i. decreasing the sample size or decreasing the confidence level.
ii. increasing the sample size or increasing the confidence level.
iii. increasing the sample size or decreasing the confidence level.
iv. decreasing the sample size or increasing the confidence level.
Answer:
way too hard
Step-by-step explanation:
Alina's home is 15km from Sentosa. She cycles a distance of 8km. What percentage of the total distance does she have left to cover? Give your answer correct to 2 decimal places.
Answer:
55.5 percent of the way!!!!!!
GameStop has a sale on Xbox games. Yusuf buys $50 worth of video games. Each game is on sale for $10. How many games did Yusuf buy?
Answer:
He bought 5
Step-by-step explanation:
2/3 divided by 5
Send help for me please
Answer: 0.13
Step-by-step explanation:
The Law and Order detectives enter a house at 11:30 am and found a man on the floor murdered. They take his body temperature finding to be 91.8 F. The body is taken to the morgue and at 12:30 pm the body temperature is 84.4 F. Using an exponential model for the body temperature, to the nearest minute, what time was he killed. Normal body temperature is 98.6.
Answer:
Time of murder = 10:39 am
Step-by-step explanation:
Let the equation of exponential function representing the final temperature of the body after time 't' is,
f(t) = [tex]a(e)^{nt}[/tex]
Here, a = Initial temperature
n = Constant for the change in temperature
t = Duration
At 11:30 am temperature of the body was 91.8°F.
91.8 = [tex]98.6(e)^{nt}[/tex] --------(1)
Time to reach the body to the morgue = 12:30 pm
Duration to reach = 12:30 p.m. - 11:30 a.m.
= 1 hour
Therefore, equation will be,
84.4 = [tex]91.8(e)^{n\times 1}[/tex]
eⁿ = [tex]\frac{84.4}{91.8}[/tex]
ln(eⁿ) = ln(0.9194)
n = -0.08403
From equation (1),
91.8 = [tex]98.6(e)^{-0.08403t}[/tex]
[tex](e)^{0.08403t}=\frac{98.6}{91.8}[/tex]
[tex]ln[(e)^{0.08403t}]=ln[\frac{98.6}{91.8}][/tex]
0.08403t = 0.07146
t = 0.85 hours
t ≈ 51 minutes
Therefore, murder was done 51 minutes before the detectives arrival.
Time of murder = 11:30 - 00:51
= 10:90 - 00:51
= 10:39 am
The sixth grade class is going to the local art musem's dinoaurexhibit. There was 52 students in the class. The total cost of the tickets for all the students is $364. What is the cost of one student ticket?
What is the surface area of the rectangular prism?
16 cm 2
48 cm 2
96 cm 2
80 cm 2
Answer:
Surface area = 80 cm²
Step-by-step explanation:
Surface Area of rectangular prism = 2(LW + LH + WH)
L = 4 cm
W = 4 cm
H = 3 cm
Plug in the values
Surface Area = 2(4*4 + 4*3 + 4*3) = 2(16 + 12 + 12)
Surface Area = 2(40) = 80 cm²
The following formula gives the temperature's measure in degrees Fahrenheit F, where C is the measure
in degrees Celsius:
F=
9
C + 32
5
Rearrange the formula to highlight the measure in degrees Celsius.
Answer:
The rearrenged formula is [tex]C = \frac{5(F - 32)}{9}[/tex]
Step-by-step explanation:
Celsius to Fahrenheit:
To realize the conversion of the temperature in degrees Celsius to degrees Fahrenheit, we use the following equation:
[tex]F = \frac{9C}{5} + 32[/tex]
Rearrange the formula to highlight the measure in degrees Celsius.
We want to find C in function of F. So
[tex]F = \frac{9C}{5} + 32[/tex]
[tex]\frac{9C}{5} = F - 32[/tex]
[tex]C = \frac{5(F - 32)}{9}[/tex]
Which of the following best describes the slope of the line below?
A. Undefined
B. Positive
C. Zero
D. Negative
Answer:
zero
Step-by-step explanation:
the slope does not change in y at all.
You are traveling from New York to los angeles to visit mickey mouse and his friends at disneyland. Given a map scale of 1 in. = 400 miles, find acutal distance you will be traveling if they are 7 inches apart on the map
Answer:
it is 2,800 miles from ny to la
Step-by-step explanation:
Use a linear approximation (or differentials) to estimate the given number. (Round your answer to two decimal places.) (1.999)3
Consider the function f(x) = x ³. Since 2³ = 8 is a perfect cube that is pretty close to x = 1.999, take the linear approximation to f(x) at x = 2. It is
f(x) ≈ L(x) = f (2) + f ' (2) (x - 2)
Compute the derivative:
f(x) = x ³ → f ' (x) = 3x ² → f ' (2) = 12
Then
L(x) = 8 + 12 (x - 2) = 12x - 16
Now approximate 1.999³ :
f (1.999) ≈ L (1.999) = 12•1.999 - 16 = 7.988
(Compare this to the actual value, 7.98801.)
According to the recent poll, 22 1/4% of the people polled said that they approved of the city plan to expand the library. If 1004 people was polled, about how many were in favor of the expansion?
Answer:
Some 224 people were in favor of the expansion.
Step-by-step explanation:
Given that, according to the recent poll, 22 1/4% of the people polled said that they approved of the city plan to expand the library, if 1004 people was polled, to determine how many were in favor of the expansion should be done the following calculation:
1/4 = 0.25
100 = 1004
22.25 = X
1004 x 22.25 / 100 = X
223.39 = X
Thus, some 224 people were in favor of the expansion.
Belle is playing a game where the probability of drawing a card with a value greater than 12 is 1/16. If she draws 64 cards throughout the game what is the best prediction of the number of cards she will draw with a value greater than 12?
0.8 repeting
Step-by-step explanation: 1/6 times 64 divded by 12.
At the movies, tickets cost $12 for adults and $6.50 for kids under 12.
How many total tickets would someone get if they purchased 7 adult
tickets and 9 kids tickets? How many total tickets would someone get if
they purchased a adult tickets and k kids tickets?
Answer:
104 in total
6.5k+12a=18.5ka
Step-by-step explanation:
3/5 and 2/5
what is the common denomenator?
Answer:
5 is their common denominator
Step-by-step explanation:
A common denominator is when both denominators are the same.
Answer:
5 is the common denominator of 3/5 and 2/5
is x(4x^2+8x+12) completely factored? If not how else can it be factored ?
A. Yes the polynomial is completely factored
B. No 4 can be factored from each term of the trinomial and the resulting trinomial can be factored into two binomials.
C.no 4 can be factored from each term of the trinomial
D. No the trinomial 4x^2+8x+12 can be factored into two binomials
No 4 can be factored from each term of the trinomial. Therefore, option C is the correct answer.
What is factorization?The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.
The given polynomial is x(4x²+8x+12).
Here, in the trinomial 4x²+8x+12, 4 is common factor in each term.
So, group and factor out the greatest common factor (GCF), then combine.
That is, 4(x²+2x+3)
Now, x(4x²+8x+12)= 4x(x²+2x+3)
Therefore, option C is the correct answer.
To learn more about the factorization visit:
https://brainly.com/question/26923098
#SPJ2
find a solution to the situation. Claire has 8 fewer books than Mai. If Mai has 26 books, how manny books does Claire have?
Answer:
18 books
Step-by-step explanation:
Grandma Bunga is 52 years older than Melati. She is 5 times older than Melati. How old
is Grandma Bunga?
Answer:
65
Step-by-step explanation:
x=52+y
x=5y
y=x/5
x=52+(x/5)
x-(x/5)=52
(5x-x)/5=52
4x=52×5
4x=260
x=260/4
x=65
Bunga is 65 yrs old
Metali is 13 yrs old
PLEASE SOLVE THIS FOR ME ITS MY MIDTERM
your class earned 90.00 saturday afternoon by washing cars to raise money for a class trip this is 1/6 of money needed for trip what is the total amount needed
Answer:
540
Step-by-step explanation:
We need 6 times 90 for the full amount.
Answer:
Total amount = 540
Step-by-step explanation:
let total amount = x
1/6 * x = 90
x = 540
Sandra is making a vegetable soup. if she makes 12 cups of soup, how many cups of onions does she need? carrots 1/3 cup onions 1/8 cup peas 1/4 cup
(please answer fast)
Answer:
1 1/2 cups you multiply 1/8 ×12
Can someone tell me the answer pls
Answer: The second and the last answer are correct
Step-by-step explanation:
Help need to find the answer
Answer:
242 ft²
Step-by-step explanation:
The shape can be decomposed to give us a trapezium and a rectangle
Area of the shape = area of the trapezium + area of the rectangle
✔️Area of the trapezium = ½(a + b)h
a = 14 ft
b = 20 ft
h = 13 - 7 = 6 ft
Area = ½(14 + 20)*6
Area of trapezium = 102 ft²
✔️Area of rectangle = L*W
L = 20 ft
W = 7 ft
Area = 20*7 = 140 ft²
✔️Area of the shape = 102 + 140 = 242 ft²
g(x)=3x-2
FIND g(8)
Please helpppppppppppp
Answer:
g(8) = 3(8)-2
g(8) = 24-2
g(8)= 22
Step-by-step explanation:
[tex]4x - {x}^{3} [/tex]