The size of each area is 3x
Word problems in mathematics involve arithmetic operations and algebraic equations employed to solve real-life cases.
From the given parameters.
Henry's garden is said to be 1/4 of an acre.If an acre = xThen, Henry's garden is (1/4)xSo, Henry's garden is said to be divided into 12 equal size areas.
∴
The size of each area is;
[tex]\mathbf{= \dfrac{\dfrac{1}{4}x}{12}}[/tex]
[tex]\mathbf{= \dfrac{1}{4}(x) \times \dfrac{12}{1}}[/tex]
= 3x
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I NEED HELP ON QUESTION B AND C ASAP.
Answer:
See belowStep-by-step explanation:
Part BAssumed the dimensions of the top and bottom parts are identical.
Since the cylindrical part has total height of 1.8 cm and the hemisphere volume is transferred to bottom part and the cone part is still full, the value of h is the difference of the total height of cylinder and full part of the top section of cylinder:
h = 1.8 cm - 0.3 cm = 1.5 cmPart CFind the volume of sand in the bottom part. It consists of a hemisphere and a cylinder of 1.5 cm height.
V(cylinder) = πr²h = 3.14*(2.6/2)²*1.5 ≈ 7.96 cm³V(hemisphere) = 2/3πr³ = 2/3*3.14*(2.6/2)³ ≈ 4.6 cm³Total sand in the bottom part:
7.96 + 4.6 = 12.56 cm³Time taken:
12.56 / 0.05 = 251.2 seconds = 4 min 11.2 secondsApproximately what portion of the circle is shaded blue?
Answer: C. (1/6)
Step-by-step explanation: If you split the circle in half horizontally, the top part would be 1/3 and the bottom part would be 3/3. 1/3 + 3/3 = 4/6 and 4/6 simplified is 1/6.
The jazz band has 14 members. To raise money for a tour, each member sold r raffle tickets. Write an expression that shows the number of raffle tickets sold.
Answer:
14r
Step-by-step explanation:
since there are 14 members and each sold r tickets r x 14 which is 14r
1985 x 99 I already know the answer: 196515
Answer:
196515
Step-by-step explanation:
Answer:
196515
Step-by-step explanation:
Evaluate the expression when c=4. c^4 + 6
Answer:
262
Step-by-step explanation:
4x4x4x4+6
256+6
262
PLS HELP BEST ANSWER=BRAINLIEST
3a² - ac + 2c - 6a/ 3a - c = a - 2
i have been looking everywhere but i cannot find the steps on how to simplify/solve this
PLS SHOW STEPS
Answer:
a-2=a-2
Step-by-step explanation:
Here it is, you just have to notice that the numerator has common factors alternated. You will then collect the same parentheses and simplify with the denominator.
Answer:
Step-by-step explanation:
Parentheses are missing in your problem statement if you intend to simplify ...
[tex]\dfrac{3a^2-ac+2c-6a}{3a-c}\\\\=\dfrac{a(3a-c) -2(3a-c)}{3a-c}\qquad\text{factor pairs of terms}\\\\=\dfrac{(a-2)(3a-c)}{(3a-c)}\\\\=\boxed{a-2}\qquad\text{cancel common factors}[/tex]
The "steps" are ...
factor numerator (and denominator, if necessary)cancel common factorsElsa is selling bracelets at craft shows to raise money for an animal shelter.
She is also accepting additional cash donations. She plans to give 75% of the
money from all bracelet sales and donations to the shelter. She will use the
remaining money to buy more supplies. Bracelet sales and donations from
the first craft show are represented by the expression 24n + 32, where n
represents the amount Elsa charges for each bracelet. The second craft
show sales and donations is represented by the expression 40n + 56. If Elsa
charges $4 for each bracelet, how much money will she donate to the
Answer:
$258
Step-by-step explanation:
75% = 0.75 when we divide by 100 to convert a percentage to a decimal
75% of total sales = money donated
Total sales = sales from first show + sales from second show
= 24n+32 + (40n+56)
= 64n + 88
0.75 of (64n+88) = money donated
= 0.75 * (64n+88)
= 48n + 66
substitute 4 for n, as she charges $4 for each bracelet
money donated = 48*4 + 66 = 258
A passenger plane flew from Texas to Frankfurt and back. The round trip is 9900 km.
return trip took 4 hours less than the trip to Frankfurt because of the 50 km/hr wind over the ocean on the return trip. Assume there was no wind on the trip to Frankfurt. Let x km/hr represent the average speed of the plane in still air.
We want to find the average speed of the plane in still air, we will get that the average speed of the plane in still air is 355.3 km/hr
So we know that the total trip is 9900km, so from Texas to Frankfurt the distance is half of that:
9900km/2 = 4950km
Now, The speed of the plane in still air is x km/hr
The speed of the air is 50 km/hr, and it flows from Frankfurt to Texas.
So in the first part of the trip, the wind blows in opposite direction to the motion of the plane, thus the speed of the plane will be:
(x - 50) km/hr
While in the return trip the wind blows in favor of the plane, in this case, the speed is:
(x + 50)km/hr
Then if the first part of the trip lasts for T hours (the second for T - 4 hours) we can write the system of equations:
(x - 50)*T = 4950
(x + 50)*(T - 4) = 4950
Where I removed the units so it is easier to read.
If we isolate T in the first equation we get:
T = 4950/(x - 50)
Now we can replace this in the other equation to get:
(x + 50)*(4950/(x - 50) - 4) = 4950
If we multiply both sides by (x - 50) we get:
(x + 50)*4950 - 4*(x + 50)*(x - 50) = 4950*(x - 50)
Now we can solve this for x:
(x + 50)*4950 - 4*(x^2 - 2500) - 4950*(x - 50) = 0
100*4950 - 4*(x^2 - 2500) = 0
495000 - 4*x^2 + 10000 = 0
505000 = 4*x^2
√(505000/4) = x = 355.3
The average speed of the plane in still air is 355.3 km/hr
If you want to learn more about systems of equations, you can read:
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Helppp it’s due today
Answer:
128
Step-by-step explanation:
Select the interval where g(2) < 0.
(graphed on khan academy)
Answer:
the number 0 Originally called finding the vertical asymptote.
A line with a slope of 2 passes through the point (3,9).
Write an equation for this line in point-slope form.
Answer:
y-9=2(x-3)
Step-by-step explanation:
y-y1=m(x-x1)
y-9=2(x-3)
Examine the graphic organizer above. Which of the choices below BEST fills in the blank on the graphic organizer?
?/5 =8/10 type the missing number that makes this fraction equal
Answer:
[tex]?=4[/tex]
Step-by-step explanation:
[tex]\frac{?}{5}=\frac{8}{10}[/tex]
[tex]\frac{2?}{10}=\frac{8}{10}[/tex]
[tex]2?=8[/tex]
[tex]?=4[/tex]
Select the correct answer.
Simplify the following expression.
Answer:
B. 1/3
Step-by-step explanation:
This question is designed to show if you know the exponent rules. Exponent Rules are short cuts. If you are multiplying two terms and they both have the same base (the big bottom number), then you could ADD the exponents (the small font raised numbers) Here the base is 3 in both terms. We keep that base. Then add 2/5 and -7/5 to get -5/5. This is just -1.
Another Exponent Rule is how to use negative exponents. So far we have 3^-1 (that means three to the negative one power)
In order to make that negative exponent positive, you just move it across the fraction bar. So we would lower it below the fraction bar to make it a positive one exponent. So you end up with 1/3
The diagram shows the distance between my home, H. and two towns, A and B.
It also shows information about journey times.
What is the average speed of the journey from my home to town A?
I do not know English :33333
-16-|-2-4|+7 please solve this for me and explain. i would really appreciate it.
Answer:
-15
Step-by-step explanation:
-16 -|-6| +7
-16 - 6 + 7
= - 15
Absolute value is just taking the positive value of a number.
Step-by-step explanation:
-16-(-2-4)+7=
-16-(-6)+7=
-16+6+7=
-16+13=
-3
If f(x) and g(x) are inverse functions, find f(g(x)).
A)
-1
B)
0
C)
1
D)
х
Answer:
x.
Step-by-step explanation:
f(g(x)) = x.
1 minute is equal to 60 seconds. How many seconds are in 3 minutes, 37 seconds?
Answer:
217 Seconds.
Step-by-step explanation:
The answer is 217 seconds because 60x3+37=217.
To make four cakes, Dena used 6 cups of sugar. Using the same recipe, how much sugar does she need to make one cake?
Answer:
Step-by-step explanation:
So 4 cakes = 6 sugars, right so try taking it slow and think to yourself, 3=? then take it even slower until you go to 1=0.67 repeated
Helpppp for a math exammm
Answer:
2. angle A is congruent to angle X
Step-by-step explanation:
Which quadrilateral is a trapezoid?
Answer:
Hey mate!Step-by-step explanation:
A trapezoid is a quadrilateral with exactly one pair of parallel sides. (There may be some confusion about this word depending on which country you're in. In India and Britain, they say trapezium ; in America, trapezium usually means a quadrilateral with no parallel sides.)
pls mark me as brainliest!!someone please answer this
The slope is the number in front of the x. And the y-intercept is the number after the x.
A negative y-intercept would be subtracted from the equation.
Answer is B. Y = 7.5x - 2
Answer:
B
Step-by-step explanation:
y = 7.5x - 2
The slope is 7.5
y- intercept is -2
Can somebody, anybody please helppp
Simplifiy the expression.
x^2 + 3x - 28/ x^2 - 7x + 12
show your work! (this part is REALLY important) thanks(:
Answer:
Step-by-step explanation:
3x3 then 4 x v ?
Ramon surveyed his friends about their favorite snacks. He found that 1/6 of his friends prefer trail mix. What is the equivalent decimal for the fraction of friends that prefer trail mix? Drag and drop the correct number to the box. 1/6 0.16 or 6
Answer:
hlp
Step-by-step explanation:
hlp
I need help ASAPPP this is very important
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
integrate (1-x³)² with respect to x
Answer:
Start off by expanding the square:
x^6 -2x³ + 1.
Now, we can integrate it in dx:
∫x^6 - 2x^3 + 1 dx = ∫x^6 dx - 2∫x^3 dx + ∫1 dx = (x^7)/7 - 2((x^4)/4) + x = (x^7)/7 - (x^4)/2 + x.
That's the result!
[tex]\\ \sf\longmapsto {\displaystyle{\int}}(1-x^3)^2dx[/tex]
[tex]\\ \sf\longmapsto {\displaystyle{\int}}(1-x^6+2x^3)dx[/tex]
[tex]\\ \sf\longmapsto x-\dfrac{x^{6+1}}{6+1}+2\dfrac{x^{3+1}}{3+1}[/tex]
[tex]\\ \sf\longmapsto x-\dfrac{x^7}{7}+2\dfrac{x^4}{4}[/tex]
[tex]\\ \sf\longmapsto x-\dfrac{x^7}{7}+\dfrac{x^4}{2}[/tex]
plzzz what is the difference between the 15th square number and the 7th square number
Answer:
176
Step-by-step explanation:
15² - 7² = (15+7)*(15-7) = 22*8 = 176
check: 225 - 49 = 176
Simplify the expression. Write your answer as an improper fraction.
-2/3x divided by (-4/9)
Answer:
3/2x
Step-by-step explanation:
−
2
3
x
−
4
9
=
3
2
x
the first person to get this right earns breainlesit!!!!!!!!
witch expressions are evculient to 4b?
Answer:
B,C,D,F, those are yhe right answer
20% percent tip on 8 dollar
Answer:
9.60 dollars tip is $1.60
Step-by-step explanation: