Answer:
[tex]\displaystyle \frac{\sqrt{3}}{3}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{2}{2\sqrt{3}} = \frac{1}{\sqrt{3}} = \boxed{\frac{\sqrt{3}}{3}}[/tex]
I am joyous to assist you at any time.
Find the 11th term of the arithmetic sequence
2x - 2, 5x – 9, 8x – 16,...
Answer:32x -72
Step-by-step explanation:
1. x/5 + 10 = 40
2. 4x - 36 = -2
i would really appreciate it if you'd help me
Answer:
1.) x = 150
2.) x = 8.5
Step-by-step explanation:
1.)
[tex]\frac{x}{5}+10=40\\\\\frac{x}{5}=30\\\\x=150[/tex]
2.)
[tex]4x-36=-2\\\\4x=34\\\\x=8.5[/tex]
Answer:
1. x = 150
2. x = 8.5
Step-by-step explanation:
1. x/5 + 10 = 40
Get x by itself and then solve for x.
First, subtract 10 from both sides
x/5 + 10 - 10 = 40 - 10
x/5 = 30
Then, multiply by 5 to get x by itself.
x/5 = 30
x/5 * 5 = 30 * 5
x = 150
2. 4x - 36 = -2
Get x by itself and then solve for x.
First, add 36 to both sides
4x - 36 + 36 = -2 + 36
4x = 34
Then, Divide each side by 4
4x/4 = 34/4
x = 8.5
Find the missing exponent.
8) 6X = 7,776
Answer:
x=1,296
Step-by-step explanation:
6x=7,776
x=7,776/6
x=1,296
How many faces does a cube have
Answer:
6
Step-by-step explanation:
it has 6 sides
please give brainliest
Answer:
6 faces
Step-by-step explanation:
Sonali's father age is 5 year 3 times more then Sonali. find out Sonali age if her father age is 44.
Let assume the age of sonali be x
➡ Age of sonali = 3x + 5➡ Age of sonali father = 44According to the question[tex]\boxed{\sf \: \large\bf{\red{ \implies}} \: \Large\rm{\purple{ 3x + 5 = 44}}}[/tex]
Now , Solving this linear equation.
[tex] \begin{cases}\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ 3x + 5 = 44}} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ 3x \: = \: 44 \: - \: 5}} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ 3x \: = \:39 }} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ x \: = \: \frac{39}{3} }} \\ \\ \large\bf{\orange{ \implies}} \: \Large\tt{\blue{ x \: = \: \frac{ \cancel{39}\rm \tiny{\red{ \: \: \small^{13} }}}{ \cancel{3}} }} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ x \: = \: 13 }}\end{cases}[/tex]
Hence , the age of sonali is 13 years.
Answer:
Sonali is 13 years old.
BRAINLIEST, PLEASE!
Step-by-step explanation:
Assigning variables:
s = Sonali, f = father
Setting up an equation:
f = 5 + 3s
Solving with substitution:
(44) = 5 + 3s
39 = 3s
s = 13
Checking the work:
44 = 5 + 3(13)
44 = 5 + 39
44 = 44
Find the value of x .
Answer:
10
Step-by-step explanation:
By using intersecting chord theorem:
NH.HT=MH.HY
(x+20)*8=12*20
x+20=12*20/8
x+20=240/8
x+20=30
x=30-20
x=10
Trevion is training for a marathon. In February, he ran XLVII miles for his training. In January, he was only able to run XXIV miles. How many more miles did he run in February than in January? Roman Numeral Standard Number 1 5 10 50 1 V X L С C D M 100 500 1,000 A) 18 B) 22 C) 23 D)43
Answer:
c.23
Step-by-step explanation:
easy keep sendin em
-6(-p + 8) = -6p + 12
Answer:
p = 5
Step-by-step explanation:
[tex]-6(-p+8)=-6p+12\\6p-48=-6p+12\\12p-48=12\\12p=60\\p=5[/tex]
For which of the following displays of data is it not possible to find the range?
Choices:
line plot
Frequency table
histogram
stem and leaf plot
Answer:
stem and leaf plot
Step-by-step explanation:
you can't find the range from a stem and leaf plot
Temperature in Tahiti: 27° C Temperature in Siberia: -33° C What is the difference between these temperatures?
Answer:
60 degrees
Step-by-step explanation:
just add 33 and 27
Answer:
60°C
Step-by-step explanation:
27 - (-33) = 27+33 = 60
what is 2x-9=5x+12 with the step by step
Answer:
x = -7
Step-by-step explanation:
Please view the detailed answer in the image attached
Answer:
[tex]2x - 9 = 5x + 12 \\ - 3x = 21 \\ x = - 7[/tex]
Step-by-step explanation:
x = -7
Find the area of the triangle.
A. 5.7 ft
B. 8 ft
C.0.1 ft
D. 16 ft
Answer:
formular 1/2 × base × height
1/2 × 2 × 8
16/2 = 8 ft
ans 8 ft
Answer:
Step-by-step explanation:
a = 2 ft ; b = 8 ft ; C = 91
[tex]Area = \dfrac{abSin \ C}{2}\\\\ =\dfrac{2*8*Sin \ 91}{2}\\\\=8* 0.99\\\\= 7.92\\\\= 8 \ ft^{2}[/tex]
Subtract.
−135−(−258)
Enter your answer as a simplified fraction by filling in the boxes.
[ ]
[ ]
Answer:
123/1
Step-by-step explanation:
-135- (-258)
123
123/1
brainliest is appreciated
4x - 6 ≥ 6x - 20 helppp
Answer:
[tex]x \leq 7[/tex]
Interval notation: (-∞ , 7]
Step-by-step explanation:
Hi there!
[tex]4x - 6 \geq6x - 20[/tex]
Add 20 to both sides:
[tex]4x - 6+20 \geq 6x \\4x +14 \geq 6x[/tex]
Subtract 4x from both sides:
[tex]14 \geq 6x-4x\\14 \geq 2x[/tex]
Divide both sides by 2:
[tex]7 \geq x\\x \leq 7[/tex]
I hope this helps!
Sam says, "I am thinking of 3 consecutive numbers. The first is a multiple of 4, the second is a multiple of 5 and the third is a multiple of 6." What could the numbers be? Can you find 3 possible sets of numbers?
Answer:
64, 65, 66
Step-by-step explanation:
16 x 4 = 64
13 x 5 = 65
6 x 11 = 66
^^
The temperature at 10 A.M. is 12 degrees Fahrenheit. The temperature at 6:00 A.M.
was -7
degrees Fahrenheit. How many degrees did the temperature rise?
Answer:
19 degrees Fahrenheit.
Step-by-step explanation:
19-7=12
2 similar caps cost as much as 3 similar shirts.
4 such caps and 3 such T-shirts cost $36.60
Find the cost of a cap, and the cost of 3 T-Shirts
Answer:
a=dollars6.10
b=dollars12.20
Step-by-step explanation:
Cap=x T-shirt=y
2x=3y 4x+2y=36.6
4x+ 3y=36.6 x=6.10
a) 4caps: 6.10
b) 3T-Shirt:3y=2x=2×6.10= 12.20
(According to Task)
An equation is formed when two equal expressions. The cost of a cap and the cost of 3 T-Shirts is $18.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the cost of a cap be represented by 'c', while the cost of a t-shirt is represented by t.
Given that 2 similar caps cost as much as 3 similar T-shirts. Therefore, the equation can be written as,
2c = 3t
Solve the equation for c,
c = (3/2)t....... equation 1
Now, it is also given that 4 such caps and 3 such T-shirts cost $36.60. Therefore, the equation can be written as,
4c + 3t = 36
Substitute the value of c from equation 1,
4(3/2)t + 3t = $36
6t + 3t = $36
9t = $36
t = $4
Now, substitute the value of t in the equation to get the value of c,
c = (3/2)t
c = (3/2) × $4
c = $6
Further, the cost of a cap, and the cost of 3 T-Shirts is,
Total Cost = c + 3t
= $6 + 3($4)
= $6 + $12
= $18
Hence, the cost of a cap, and the cost of 3 T-Shirts is $18.
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Shane did 5 sets of sit-ups. He did 28 sit-ups in each set. How many sit-ups did Shane do in total?
Answer: 140 sit-ups
Step-by-step explanation:
1 set= 28 sit ups
28 * 5= 140
Answer:
140
Step-by-step explanation:
28 times 5
22. Juan and Mary each earn $7 an hour at a part time job.
If on a certain day Juan works 34 hours and Mary works
21 hours, what is the total amount of their earnings that day?
Answer:
Juan- $238
Mary- $147
Step-by-step explanation:
if they earn $7 an hour then you would multiply that by how many hours they worked. So 34×7=238 for Juan and 21×7=147 for Mary.
3. Reflect across the line y = x. E(-4,-2) ► N(-1,0) +N A(1,-3) →A
Answer:
76( 6487235)
Step-by step explanation:
(a+b)²......what is the answer
Answer:
(a+b)^2
= a^2 + 2ab + b^2 (this is the expanded formula of (a+b)^2)
Answer:
There can be 2 answers
Step-by-step explanation:
a²+2ab+b²= (a+b)²
or
(a+b)×(a+b)
= (a+b)²
The solution for the graph below is:
Find the distance between each pair of points (2, -6) and (7, -2)
Answer:
6.4 units
Step-by-step explanation:
The points plotted on a graph forms a right-angle triangle parallel with the x-axis. The hypotenuse is the direct distance between the points. So
a**2 + b**2 = c**2 where a is the x difference and b is the y difference
(2 -7)**2 + (-6 -(-2))**2 = c**2
-5**2 + -4**2 = c**2
25 + 16 = c**2
41 = c**2
41**(1/2) = (c**2)**(1/2) and ignore the negative because they're lengths
6.4 = c
This is my second time posting this can anyone help me PLZ !!
Answer:
Third one
Step-by-step explanation:
right = +
left = -
up = +
down = -
x - 7 + 3
Imani earned $24 in interest after four years on an account that paid 6% simple interest annually. Use the formula 1 - Prt to find Imani's principal balance. (2 points)
Ο SS7.60
O $100.00
Ο Ο Ο
$576.00
Ο $1,000.00
Answer:
$5.76
Step-by-step explanation:
Prinkpal balance = $24^4^6% =5.76
The principle amount will be equal to $100. The correct option is B.
What is simple interest?The straightforward crediting of cash flows related to an investment or deposit is referred to as "simple" interest. Simple interest is calculated just on the loan's principal amount, whereas compound interest is calculated on both the principal and the cumulative interest.
Given that Imani earned $24 in interest after four years on an account that paid 6% simple interest annually.
The principle amount will be calculated by using the simple interest formula.
SI = ( P x R x T ) / 100
24 = ( P x 0.06 x 4 )
P = 24 / ( 0.06 x 4 )
P = $100
Therefore, the principle amount will be equal to $100. The correct option is B.
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What is the reference angle for 283°?
The gradient of the curve
[tex] y = {3x}^{x2} + 11x + 7 [/tex]
at point p(x,y) is -1. Find the coirdinate of P.
Answer:
Coordinate of P is (-2, -3)
Step-by-step explanation:
Gradient is the derivative of the curve:
[tex]y = {3x}^{2} + 11x + 7 \\ \\ \frac{dy}{dx} = 6x + 11[/tex]
but dy/dx is -1 :
[tex]6x + 11 = - 1 \\ 6x = - 12 \\ x = - 2[/tex]
substitute for x :
[tex]y = 3( - 2) {}^{2} + 11( - 2) + 7 \\ y = - 3[/tex]
Lashonda made $144 for 12 hours of work.
At the same rate, how many hours would she have to work to make $216?
Which number is a not a solution to the inequality m-8<2
que expresión es equivalente a 7,299?
Answer:
Option A 7,000+200+20+9 is equivalent expression of 7,229. Because after adding 7,000+200+20+9 we get 7,299.
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