Henry's garden which is 1/4 of an acre is to be divided into 12 equal size areas what is the size of each area?
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
Learn more about word problems in mathematics here:
https://brainly.com/question/21405634
7. A game is played with 2 fair number cubes. One cube has faces numbered 1 through 6. The second number cube is numbered 4 through 6, and each number is marked on two faces. If both cubes are tossed, what is the probability of rolling a 2 on the first cube and a 3 on the second cube?
Answer:
Less than two would be one. Since there is only one of that, it would be 1/6th or 0.6666
Step-by-step explanation:
please solve this quick
9 times 11 = 0.818181...
Explain?
Determine the equation of a circle with center at (8, 10) and radius 6.
1) (X + 8)2 + (y - 10)2 = 36
2) (x + 8)2 + (y + 10)2 = 36
3) (x-8)2 + (y - 10)2 = 36
4)(x - 8)2 + (y - 10)2 = 6
Answer:
Step-by-step explanation:
general equation for a circle at the origin is
x² + y² = r²
if the circle center is (x₀, y₀), the formula is
(x - x₀)² + (y - y₀)² = r²
(x - 8)² + (y - 10)² = 36
5-x=3
Work out the value of 3x2
Answer:
No
Step-by-step explanation:
5-X=3
X=5+3
X=8
5-8=3
Make x the subject of the formula
t=
[tex] \sqrt{2(x - ut) \div a}[/tex]
[tex]t = \sqrt \frac{ {2(x - ut)} }{a} \\ = > t = \sqrt{ \frac{2x - 2ut}{a} } \\ = > {t}^{2} = \frac{2x - 2ut}{a} \\ = > a {t}^{2} = 2x - 2ut \\ = > \frac{ { - at}^{2} }{2ut} = 2x \\ = > \frac{ - at}{2u} = 2x \\ = > \frac{ - at}{2u \times 2} = x \\ = > \frac{ - at}{4u} = x[/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
20 POINTS!! PLEASE HELP DUE NOWWW!
Gia started to solve the equation 3(x − 10) − 5x = 2x − 26 below. They want to move the variables to the left side of the equation for their next step.
Fill in Line 4 and give the property.
Line 1: 3(x − 10) − 5x = 2x − 26 Original Problem
Line 2: 3x − 30 − 5x = 2x − 26 Distributive Property
Line 3: -2x − 30 = 2x − 26 Collect Like Terms
Line 4: _______________ _______________
The value of x from the given equation is -1
Given the equation expressed as:
[tex]3(x - 10) - 5x = 2x - 26[/tex]
Expand using the distributive law as shown:
3x - 3(10) - 5x = 2x - 26
3x - 30 - 5x = 2x - 26
Collect the like terms to have:
3x - 5x - 2x = -26 + 30
-2x - 2x = -26 + 30
Simplify the result by addition and subtraction:
-4x = 4
Divide both sides by -4 (Division property of equality)
-4x/-4 = 4/-4
x = -1
Hence the value of x from the given equation is -1
Learn more equations here: https://brainly.com/question/22688504
10. In a recent season, the San Francisco Giants
won 75 out of 162 games. What percent of their
games did they win? Round to the nearest tenth if
necessary.
Using the percentage concept, it is found that the San Francisco Giants won 46.3% of their games.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
In this problem:
The Giants played a total of 162 games, hence b = 162.They won 75 games, hence a = 75.Then:
[tex]P = \frac{75}{162} \times 100\% = 46.3\%[/tex]
The San Francisco Giants won 46.3% of their games.
You can learn more about the percentage concept at https://brainly.com/question/10491646
Find the value of x.
Answer:
x= 11°
Step-by-step explanation:
∠BAC= ∠ACD (alt. ∠s, AB//CD)
∠BAC= 33°
∠BAC +∠ABC= ∠BCE (ext. ∠s of triangle ABC)
33° +2x= 5x
5x -2x= 33°
3x= 33°
x= 33° ÷3
x= 11°
_____
Alternatively,
∠ACB= 180° -5x (adj. ∠s on a str. line)
∠BCD +∠ABC= 180° (int. ∠s, AB//CD)
∠ACB +∠ACD +2x= 180°
180° -5x +33° +2x= 180°
Minus 180° on both sides:
-5x +2x +33°= 0
5x -2x= 33°
3x= 33°
x= 11°
QUESTION 22 PLEASE HELP ME!!!!
Answer:
the answer is infinite
Step-by-step explanation:
would u like me to explain?
6/5 pls help as fast as possible
Answer: 6 divided by 5 is 1.2
Step-by-step explanation: I used Siri lol
Answer:
1.2 in decimal form. equivalent form-12/10. i really dont know what your asking. so i hope this is what you wanted.
Step-by-step explanation:
Which of the following are possible side
lengths for a triangle?
A. 8, 5, 7
B. 10, 3, 7
C. 9,5, 15
Answer:
A yes B No C Yes
Step-by-step explanation:
The length of the third side is greater than the difference and less than the sum of the two smallest sides.
8, 5, 7 Using the 5 and 7 the third side is > (7 - 5) and < (5 + 7)
the third side is > 2 and < 12 so 8 is OK
10, 3, 7 Use the two smallest number: 3 and 7
the third side is > (7 - 3) and < (3 + 7)
the third side is > 4 and < 10 No it is 10
9, 5, 15 Use the two smallest number 9, 5
the third side is > (9 - 5) and < (9 + 5)
the third side is > 4 and < 14 Yes
Answer:
A. 8, 5 , 7
Step-by-step explanation:
the other guy who answered gave two yes's so I chose one and A. was correct.
Which of the following is a geometric sequence with a common ratio of 2?
A) 14, 28, 56, 112, ...
B) 64, 32, 16, 8, ...
C) 87, 85, 83, 81, ...
D) 14, 16, 18, 20, ...
Answer:
A
Step-by-step explanation:
Geometric sequences involve multiplication and the ratio of 2 means each number is multiplied by 2 to get the next number.
find the slope
a line that passes between (-5, 8) and (2,4)
Answer:
Step-by-step explanation:
formula : m=(y2-y1)/(x2-x1)
(4 - 8) / (2 - - 5)
-4 / 7
m = -4 / 7 = -0.57143
let f(x)=3x^2-6x+5 what is the leading coefficient
f(x) = 11 – 5x for f(9)
A.-46
B.-44
C.44
D.45
Answer:45
Step-by-step explanation: math solver
Answer:
the answer is not there. the answer is -34
Step-by-step explanation:
11-5(9) . 11-45
At the restaurant, Gordon packed 8 orders with 4 items per order
in the morning. In the afternoon, he packed 6 orders with 7 items
per order.
Answer:
what is the question?
Step-by-step explanation:
Please look for the question in the picture.
Answer:
C and B
Step-by-step explanation:
20%=1/5 so D+1/5D
1.2 = 120%
Solve the equation algebraically show work to support the answer
2/3x + 4 = 2
Answer:
2/3x + 4 = 2
or,3x+2+4=2
or,3x+6=2
or,3x=2-6
or,3x=-4
or,x=-4/3
x=-1.33
Riley is saving up to buy a new television. She needs a total of $966.42. Riley has saved $200.92 already and earns $76.55 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television
Answer:
10 weeks
Step-by-step explanation:
76.55x+200.92=966.42
76.55x=966.42-200.92
76.55x=765.5
x=765.5/76.55
10
Help help help math math
Answer:
It is an example of a nonlinear function.
Step-by-step explanation:
Use a graphing calculator or graph the points and try to make a line, as it will not work
What is the answer to y=-2(-3/2)-9
Answer:
-6
Step-by-step explanation:
y = -2 x -3/2 - 9
3 - 9 = -6
Hey there!
y= -2 (-3/2) - 9
-2(-3/2) = [3]
y = 3 - 9
y = -6
Therefore, your answer is: y = -6
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer also has fixed costs each month of $8000
Answer:
R(x)=2x.
Step-by-step explanation:
We get the total revenue by multiplying the revenue per unit times the numbers of units sold, so the general Revenue function is given by
R(x)=selling price per unit⋅x.
The manufacturer sells each energy drink for $2 so the Revenue function is :R(x)=2x.
estimate a 15 tip on a restaurant bill of $24.55
Answer:
39.55
Step-by-step explanation:
24.99+15=39.55
That is how you get your answer :)
Answer:
1.89
Step-by-step explanation:
.15 x 24.55=1.89
A statistics teacher has a large container of beads that she says contains 60% blue beads. A student randomly selects
50 beads. Let p = the true proportion of blue beads in the container. If the true proportion of blue beads is 0.60, which
value of ô is least likely to occur?
O 0.50
0.60
O 0.70
0.80
Answer:
0.80
Step-by-step explanation:
its the farthest away from 0.60
The sum of two consecutive integers is -11. Find the number
Answer:
-5 and -6
Step-by-step explanation:
Lets do the equation: x+x+1=-11
Add: 2x+1=-11
Subtract: 2x=-12
Divide: x=-6
The smaller integer is -6
The larger integer is -5
What is the range of the relation below?
Helpppp pleaseeee ????
Answer:
LQ = 54
Median = 69
UQ = 94
Step-by-step explanation:
This list is already sorted for you, so you don't need to worry about that, otherwise you would need to sort the numbers in ascending order. To find the median, we do [tex]\frac{n+1}{2}[/tex], where n is the amount of numbers. This gives us 4, so the median is at position 4, so the median is 69. The lower quartile is simply [tex]\frac{n+1}{4}[/tex], so 2, so the lower quartile is 54. The upper quartile is [tex]\frac{n+1}{2} X 3[/tex], so 6, so the upper quartile is 94.
Find the allowable height for the hypotenuse if the hypotenuse catheters are 4 cm and 9 cm
Answer:
L = 9.85 cm
Step-by-step explanation:
I guess you meant length for the hypotenuse. We just apply the pythagorean theorem:
L = [tex]\sqrt{(4 cm)^2 + (9 cm)^2} = \sqrt{16 cm^2 + 81 cm^2} = \sqrt{97 cm^2} = (circa) 9.85 cm[/tex]
Answer:
solutions given;
base:9 cm
perpendicular: 4 cm
hypotenuse:?
By using pythagorus law
hypotenuse^2: perpendicular^2+base^2
hypotenuse:[tex]\sqrt {4^2+9^2}[/tex]
hypotenuse:9.84cm
Josie owns 21 books. She buys 6 books every week. Write the recursive sequence to describe how number books she has.
Answer:
a1=21
an=an-1+6
Step-by-step explanation: