Jake is building a fence around his property. He wants the perimeter to be no more than 100 feet. He also wants the length to be at
least 10 feet longer than the width. If he builds his fence according to these limits, which would be the maximum possible width of
the fence?
Answer:
C
Step-by-step explanation:
Let the length be l and width be w.
The perimeter will be 2 lengths + 2 widths = 2l+2w
2l+2w cannot be more than 100ft
[tex]21+2w \leq 100[/tex]
Also, the length has to be at least 10ft longer than the width.
[tex]l\geq w+10[/tex]
If we substitute w=20, l=30. 2l+2w can be equal to 100 but not over it.
If w=20 and l=30, 2w+2l = 40+60 = 100.
Hence the maximum length of the width of the fence is 20 ft. C
What is the integer that is closer to the square root of 35
A scientist keeps track of bacteria cells. She starts with 1 cell. After one hour, there are 2 cells. The number of cells continues to double in each of the following hours
Answer:
the number of cells increases by a factor of 2.
Explanation:
the number of cells doubles with each hour, which means that they are multiplied by 2. thus, the number of cells increases by a factor of 2.
i hope this helps! :D
Answer: The number of cells increases by a factor of 2.
After four hours, the number 2 is used as a factor 4 times.
Step-by-step explanation: The cells multiply by 2, and make double the amount of cells.
The number 2 is used 4 times after 4 hours to make 16 cells.
The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger figure.
hhh
Step-by-step explanation:
please help giving brainliest!
Answer:
0.20
Step-by-step explanation:
total of marbles
= 6 + 4 + 3 + 2
= 15
the probability of blue
= 3/15 × 100%
= 20%
= 0.20
A diagonal of a square is 20cm long. How long is each side
Answer:
Diagonal of square = 20 cm. = 200 cm². Side = 10√2 cm
Step-by-step explanation:
Answer:3
Step-by-step explanation:divide
What is the area of the figure below? Please help me urgent 30 points!!!
Answer:
75
Step-by-step explanation:
[tex]5 \times 10 = 50[/tex]
[tex]5 \times 10 \div 2 = 25[/tex]
[tex]50 + 25 = 75[/tex]
Monica goes to a stationery shop to buy pens and pencils. She has $35 in pocket change, and she's looking to buy pens for $7 each and pencils for $2 each.
Write an inequality to describe the possible number of pens and pencils that Monica can buy. If Monica buys 3 pens, what is the maximum number of pencils she
can buy?
Answer:
7 pencils
Step-by-step explanation:
Let x equal the number of pencils Monica buys and y equal the number of pens.
The expression would then be 2x + 7y ≤ 35. Plugging in 3 for y:
2x + 7(3) ≤35
2x +21 ≤ 35
2x ≤ 14
x≤ 7
What is the perimeter of this
26ft+17ft+25ft
=68ft
The perimeter is 68 ft
Answer:sorry I don’t know
Step-by-step explanation:
an angle inscribed in the same os equal arc are equal?
Answer:
yes
Step-by-step explanation:
How much sales tax would you pay for a $55 pair of roller blades if the tax rate is 6.625%?
Answer:
≈ 3.64 sales tax
Step-by-step explanation:
55 × 0.06625 = 3.64375
Write the equation of the line in slope- intercept form
Answer:
y=8x+1
Step-by-step explanation:
y=mx+b
m=rise/run=(8)/(1)=8
y=8x+b
b is the y-intercept
y=8x+1
what is 34 divided by 5
Answer:
6.8
Step-by-step explanation:
The solution is : 6.8 is the decimal when 34 divided by 5.
Here, we have,
given that,
34 divided by 5
Given the following mathematical expression;
34 / 5
We would apply the law of division for fractions.
34 / 5
= 34 ÷ 5
= 6.8
the decimal form.
Hence, The solution is : 6.8 is the decimal when 34 divided by 5.
To learn more on division click:
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Find the surface area of the cone. Round your answer to the nearest tenth..
Answer:
S.A. = 15.7
Step-by-step explanation:
S. A. = [tex]\pi r^{2} + \pi rl[/tex]
1 x 1 x 3.14 = 3.14
3.14 x 1 x 4 = 12.56
12.56 + 3.14 = 15.7
Hi!pls can u help me factorise this
50d^2 - 98e^2
Factor out 2.
2(25d^2 - 49e^2)
We now factor the difference of two perfect squares within the parentheses.
2(5d - 7e)(5d + 7e)
This is as far as we can factor.
Done!
The factor of the expression into an equivalent form 50d²- 98e² would be; 2(5d - 7e)(5d + 7e)
What is factorization?Factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.
Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.
We are given that expression is given that 50d²- 98e².
We have to Factorise .
Factor out 2.
2(25d² - 49e²)
We have to factor the difference of two perfect squares within the parentheses.
2(5d - 7e)(5d + 7e)
Learn more about factorization here:
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You ask learners to select their course section number for your survey. For example, (1) 101, (2) 102, (3) 103. What type of variable is course section in this example?
Answer:
The variable is a nominal categorical variable
Step-by-step explanation:
As the 3 options are available and the survey taker is required to select from these options, this indicates that the variable is of categorical nature, where only a fixed number of options are available. As the order is not important thus the variable is a nominal categorical variable.
6xy+4x-3y-2=0 solve the equation
Answer: this equation couldn't be determined
Step-by-step explanation:
The solution couldn't be determined as all the variables are different (it should have at least two variables should be same to be added or subtracted)
what is the slope of the graph??? (hint: it’s either 4 or 0) or if u get another answer pls tell me.
Answer:
The slope is 4
Step-by-step explanation:
rise is 4, run is 1
4/1=4
An ice machine uses 3 gallons of water every 9 hours How many gallons of water does it use each hour? How many hours does it
take to use one gallon?
A)gallon per hour, 1 hour
B)gallon per hour; 3 hours
C)3 gallons per hour, 1/9 hour
D) 1/3 gallon per hour
1/3 hour
Answer:
1/3 gallon per hour, and it takes 3 hours to use one gallon
Step-by-step explanation:
Simplify the ratio
3-9
Which simplifies to
1-3
———————————————
Find the area of the composite figure
Answer:
The answer is 180ft
Step-by-step explanation:
The reason the answer is 180ft is because your using area which means your are multiplying all your answers.
Which representation shows a translation three units to the left and one unit up?
(x + 3, y + 1)
B.
(x - 3, y + 1)
C.
(x + 3, y - 1)
D.
(x - 3, y - 1)
Answer:
B. (x-3,y+1)
Step-by-step explanation:
because they are integars
brainlyyest pls
SOMEBODY HELP PLSS I DONT GET IT
What is the mean of the data set?
{21, 23, 25, 25, 26, 28, 28, 28, 31, 33}
A.26.8
B.27
C.27.8
D.28
Answer:
A. 26.8
Step-by-step explanation:
268/10
Haley has three times as many stuffed animals as she does dolls. Her brother has 15 more video games than Haley has stuffed animals. If Haley has 15 dolls, how many video games does her brother have? A. 228 B. 60 C. 33 D. 30
Answer:
60
Step-by-step explanation:
stuffed animals = 3 x dolls eqn 1
video games = 15 + stuffed animals eqn 2
dolls = 15
replace for dolls in eqn 1
stuffed animals = 15 x 3 = 45
substitute for stuffed animals in eqn 2
45 + 15 = 60
A right triangle is displayed.
The area of the right triangle is
A. 24 in ^2
B. 48 in ^2
C. 432 in ^2
D. 864 in ^2
Answer:
You have to use the Pythagorean Theorem to find the other side, which will be your base in the Area formula (A=1/2bh). So the Pythagorean theorem would be 36^2 + b^2 = 60^2. This gives you 48 in for your base/missing side length. Then, you plug it into the area formula. So, A=1/2(48) (36). This gives you 864 in^2 for the area of your triangle.
PLSSS HELP (What are the square roots of 121?)
Answer:
11
Step-by-step explanation:
Answer: The square root of 121 is 11!
Step-by-step explanation:
11x11= 121
Another example:
9x9=81
So, 9 is the square root of 81
Another example:
8x8=64
so, 8 is the square root of 64!
what is the answer to this?
Answer:
5 inches
Step-by-step explanation:
Since the length irl is 60 yards you should divide 60 by 3.
60/3=20
Then convert 1/4 to a decimal.
1/4=0.25
Finally multiply 20 and 0.25 to get the length of the park on the map.
20x0.25=5
your answer is Option F 5 inches
WOODLL PUNTO. CU
Level 3: Proficient (Must do Level 2)
The school that Kathryn goes to is selling tickets to a spring musical. On the first
day of ticket sales the school sold 6 adults tickets and 9 child tickets for a total
of $114. The school took in $132 on the second day by selling 12 adult tickets
and 2 child tickets. Find the price of ản adult ticket and the price of a child ticket.
Price of the adult ticket:
Price of a child ticket:
1
2
3
4
Next
Answer:
15+7=22
Step-by-step explanation:
Set up the equations.
HELP PLZ DUE RN BRAINIEST TO WHOEVER RIGHT
Answer:
[tex] x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5} [/tex] or [tex] x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5} [/tex]
Step-by-step explanation:
[tex] 5x^2 - 2 = 4x [/tex]
[tex] 5x^2 - 4x - 2 = 0 [/tex]
[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex] x = \dfrac{-(-4) \pm \sqrt{(-4)^2 - 4(5)(-2)}}{2(5)} [/tex]
[tex] x = \dfrac{4 \pm \sqrt{16 + 40}}{10} [/tex]
[tex] x = \dfrac{4 \pm 2\sqrt{14}}{10} [/tex]
[tex] x = \dfrac{2 \pm \sqrt{14}}{5} [/tex]
[tex] x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5} [/tex] or [tex] x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5} [/tex]
Answer:
Answer:
x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5}x=
5
2
+
5
14
or x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5}x=
5
2
−
5
14
Step-by-step explanation:
5x^2 - 2 = 4x5x
2
−2=4x
5x^2 - 4x - 2 = 05x
2
−4x−2=0
x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}x=
2a
−b±
b
2
−4ac
x = \dfrac{-(-4) \pm \sqrt{(-4)^2 - 4(5)(-2)}}{2(5)}x=
2(5)
−(−4)±
(−4)
2
−4(5)(−2)
x = \dfrac{4 \pm \sqrt{16 + 40}}{10}x=
10
4±
16+40
x = \dfrac{4 \pm 2\sqrt{14}}{10}x=
10
4±2
14
x = \dfrac{2 \pm \sqrt{14}}{5}x=
5
2±
14
x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5}x=
5
2
+
5
14
or x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5}x=
5
2
−
5
14
please answer fast however answer i will make brainilest