Step-by-step explanation:
Let w be the uniform width of the safety zone.
We have combined area = 10,800ft².
=> Combined area = Length * Width
= (80 + 2w)(50 + 2w)ft².
Therefore (80 + 2w)(50 + 2w) = 10,800.
=> 4,000 + 260w + 4w² = 10,800
=> 4w² + 260w - 6,800 = 0
=> w² + 65w - 1,700 = 0
=> (w - 20)(w + 85) = 0
=> w = 20 or w = -85
(w = -85 is rejected as width must be positive)
Hence the uniform width is 20ft.
Select the correct answer.
There were 800 farmers' markets initially in the USA in 2012. In 2013, the number of farmers' markets was 1.25 times the initial number of farmers' markets. Then, in 2014, the number of farmers' markets was 1.25 times the number of farmers' markets the previous year. If this pattern continues, which of the following graphs represents the number of farmers' markets in the USA over time?
Answer:
Graph Z or D
Step-by-step explanation:
Starts at 800 and goes up to around 4 and ends
Answer:
its Z
Step-by-step explanation:
HELP ANOTHER ONE, Need anwser before time runs out...
Answer: 0
Step-by-step explanation:
The area of a rectangle is represented by 3x^2 + 14x + 8. Factor the area to determine the dimensions of the rectangle.
Answer:
(3x+2)(x+4)
Step-by-step explanation:
(3x+2)(x+4) = (3x)(x) + (3x)(4) + (2)(x) + (2)(4)
= 3x² + 12x + 2x + 8 *****
= 3x² + 14x + 8
You start by figuring it will be in the form of (3x + a)(x + b) because 3 doesn't factor. The two middle terms in the line followed by the stars must add up to 14x. And in (3x + a)(x + b), ab must be equal to the 8 on the end (the constant factor).
For most people, factoring takes a LOT of practice. And somethimes you just have to try a lot of factors before you hit the right combination. But if you do it enough, it really does get easier to 'see' the answer a lot of the time.
Hope this helped!
Use the function f(x)=3 sin(xπ/2)+2 to answer parts A - F. Show steps for C, D and E.
What is the value of 9(n+2)-5n for n=1/4?
a. 3
b. 9
c. 10
d. 19
Answer:
d
Step-by-step explanation:
If you substitute n with 1/4 it equals 19.
Sarah is selling bracelets and necklaces to make money for her summer vacation. The bracelets cost $2 and the necklaces cost $3. She needs to make more than $500. Sarah knows that she will sell greater than 50 bracelets. Which of the following choices would be a system of inequalities for Sarah’s situation?
Answer:
85 Necklaces and ----- Bracelets.
Step-by-step explanation:
500 Divided by 2 = 250, The 500 is the amount in total,The 250 is the amount of bracelets and necklaces needed for 500$ To be a accurate number for 'Sarah's ' Situation. Now 250 divided by 2 is 125. It was divided by 2 so it can be the amount the bracelets cost. Or instead of dividing to get 250, You can multiply and do 2x125=250, So them add Go on from there, Its not to hard but if you need more help I'm here!
Now for the necklace portion of it. 3x80=240, So she sold 80 necklaces. Than sold 3 more. Now you have a total of 250.
i need help pleaseee .
Answer:
3.78 yd
Step-by-step explanation:
Rectangle area = length x width
a = (w+10)*w = w² + 10w = 52
w² + 10w - 52 = 0
w = (-10 ± √10²-4*1*(-52)) / 2 = (-10 ± √308)/2 = (-10 ± 17.55)/2
width must be positive: w = (-10 + 17.55)/ 2 = 7.55/2 = 3.78
PLSSS HELP
correct answer get brainliest
1. Rob's favorite class is woodworking. For his last
project, Rob glued together 7 strips of wood
side-by-side to make a decorative sign. Each strip of
wood had the same width. His finished sign was 14
inches wide. How many inches wide was each strip
of wood?
A. 2 inches
B. 91 inches
C. 21 inches
D. 7 inches
Answer:
Wouldn't it be 2 because of 14÷7?
Tim is constructing a triangle with sides measuring 3 inches and 6 inches. Which could not be the length of the third side? A 2 in. B 4 in. C 6 in. D 8 in.
un auto de carreras puede frenar a razón de -8.0m/s2.
a.si viaja a 38m/s,¿cuantos metros recorrerán antes de detenerse.?
b.¿cuantos metros recorrerán si viaja a 75m/s?
Answer:
25 i used g00gle trans
Step-by-step explanation:
12)
4
24
4
36
6
find the scale factor
Answer:
2
Step-by-step explanation:
4, 24, and 36 are divisible by 4, but there is a 6 and 6 is not divisible by 4. However, all the numbers are divisible by 2.
7+
2-
3+
3-
-
7+
1-
4
Answer:-15
Step-by-step explanation:
Answer:
umm... thirteen....
13
Rita is designing a building shaped like a pyramid that's cut off in a plane parallel to its base (this is called a truncated pyramid). The building has a 64×64 m end text square base and is 36 m tall. The cut off section has a16×16m square base and is 12 m tall. What is the volume of the building? Round to the nearest cubic meter.
Area of full pyramid: = 1/3 x area of base x height
Area = 1/3 x 64^2 x 36 = 49,152 cubic meters
Area of top section: 1/3 x 16^2 x 12 = 1,024 cubic meters
Total volume of truncated pyramid = 49,152 - 1,024 = 48,128 cubic meters
Solve for x.
-3(4x-16)=-12
I need an answer and explanation so I can try to do some myself thanks!:)
Answer:
B. -5
Step-by-step explanation:
this is quite simple, so what you are going to want to do is multiply -3 by 4, and -16, so distribute that and you'll end up with
-12x+48= -12
then you want to subtract 48 from both side to leave the x on one side alone
that will be -12x= -60
after that you have to divide both sides by -12 to find your x
so then you will see that your x is = -5! hope this helps!!
A standard die is rolled 12 times and a 2 comes up 3 times. The experimental probability of rolling a 2 with this die is?
Answer:
1/4
Step-by-step explanation:
Number of trials = 12
Number of successes = 3
Experimental probability = (Number of successes / total number of trials)
Hence,
Experimental probability of obtaining a 2:
= 3 / 12
= 1/4
[tex]6x - 2y = 18[/tex]
what is the answer
Answer:
x could be 3 and y could be 0
x=3
y=0
Step-by-step explanation:
need the whole question, unless there are multiple correct answers
Answer:
x = 4 and y = 3
Step-by-step explanation:
On three days, Ben throws darts at a target.
Here are his results.
Number of throws
Number of hits
Number of misses
40
30
10
30
18
Monday
Tuesday
Wednesday
Total
12
50
36
14
120
84
36
b) Use the total of the results to estimate the
probability of Ben of hitting the target.
Answer:
[tex]P(Hits) = 0.70[/tex]
Step-by-step explanation:
Given
[tex]Throws = 120[/tex]
[tex]Hits = 84[/tex]
[tex]Miss = 36[/tex]
See attachment for result
Required
Determine the probability of hitting the target
This calculated using:
[tex]P(Hits) = \frac{n(Hits)}{n(Throws)}\\[/tex]
[tex]P(Hits) = \frac{84}{120}[/tex]
[tex]P(Hits) = 0.70[/tex]
Hence, the probability of hitting the target is 0.70
If y varies directly as x, and y =-4 when x=8, find y when x=3
Answer: Another way of looking at it!
y
=
10
Explanation:
This is a ratio question in disguise.
By parts of the question:
"When y varies directly with x"
→
y
x
"
"if y=8 when x=4"
→
.
.
y
x
=
8
4
"how do you find y when x=5"
→
y
x
=
8
4
=
y
5
so
y
=
8
×
5
4
=
10
This is the same thing as using 'k' in the other solution
Step-by-step explanation:
Brian and Mark are fishing. They both catch a fish. Brian's fish weighs 17
pounds less than Mark's fish. Mark's fish weighs 22 pounds
PLEASE HURRY.
Answer: 5 pounds
Step-by-step explanation:
We need to find how much Brian's fish weighs. We know that Mark's fish weighs 22 pounds, and Brian's fish weighs 17 pounds less than Mark's fish. To find how much Brian's fish weighs, we can subtract 17 from 22.
22 - 17 = 5.
Therefore, Brian's fish weighs 5 pounds.
Hope this helps, and good luck :D
Answer:
5 pounds
Step-by-step explanation:
22-17 =5
Find the area of this composite figure.
Answer: ≈30.28 m²
All the work is shown in the picture.
Find the sum of the following
81L23ml,12L75ml
Answer:
93mL 98mL
Step-by-step explanation:
First add the mL. There are 78mL, so it cannot become a liter. Then add the liters.
Determine how much you would receive in return for a 8 month, $500 loan to a friend if you charged the 3% annual interest. Show your work.
Answer: 15
Step-by-step explanation: Ellen
Answer:
$15
Step-by-step explanation:
solve for x
8x = -14
Answer:
-7/4
Step-by-step explanation:
8x=-14
X=-14/8
X=-7/4
What is the product?
8.25 x 1/5
A-0.82
B-1.65
C-8.25
D16.5
Help
Answer:
B: 1.65
Step-by-step explanation:
8.25 x 1/5 = 8.25/5 = 1.65
A current of electricity flowing through a wire will create a(n)
Answer:
energy
Step-by-step explanation:
or electricity
Find the unknown side of the triangle below.
9 in
18.8 in
15 in
8 in
Answer:
its actually 15 inches, cause if you bring the bottom line up and compare it to the 17 line its a smidge shorter so go with the largests number the less then 17. theres proof for the quiz itself
Step-by-step explanation:
A regular hexagon is shown below. Find the value of x
what i don't understand why you think
A container is in the shape of a cuboid the cuboid is 2/3 full of water a cup holds 275 ml of water what is the greatest number of cups
Answer:
12 cups
Step-by-step explanation:
The first step is to calculate the volume of the cubiod
= 36 × 6 × 23
= 4968
= 4968/3 ×2
= 1656×2
= 3312
Therefore the greatest number of cups can be calculated as follows
= 3312/275
= 12
Hence the greatest number of cups is 12 cups
HELP PLS
Juanita has rectangular 3 cards that are 5 inches by 9 inches. How can she arrange the cards, without overlapping, to make one larger polygon with the smallest possible perimeter? How will the area of the polygon compare to the combined area of the 3 cards?
Answer:
Connect the sides of the cards that are 7 in long.
Step-by-step explanation:
Im working on this rn XD
Have a Nice day :)