Hey Mate,
Given,
z - 2z/3 + z/2 = 5
Then, On taking the LCM of 1, 2 and 3 as we get 6, the new equation will be :-
=> = 5
=> = 5
=> 5z = 5 x 6
=> z = 30/5
=> z = 6
Therefore, z = 6 is the root of the equation z - 2z/3 + z/2 = 5.
Now on substituting the value of z as 6 in the given equation, we get:-
( 6 ) - 2(6)/3 + ( 6 )/2 = 5
6 - 12/3 + 3 = 5
6 - 4 + 3 = 5
2 + 3 = 5
5 = 5
Since, LHS = RHS, z = 6 is the correct root for the equation :-
z - 2z/3 + z/2 = 5
Hope it Helps!
Answer:
z = 40/7
z = 5.714285
z = 5 5/7
Step-by-step explanation:
The slideat the playground has a height of 6ft. The base of the slide measured on the ground is 8ft. What is the length of the slide?
Answer:
10 ft
Step-by-step explanation:
The length of the slide can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
6² + 8² =
36 + 64 = 100
c = √100
c = 10
PLEASE HELP ME IF YOU CAN! please tell me how you got the answer thank you!
The point (−2,−1) is reflected across the x-axis, and then reflected across the y-axis. Graph the new coordinate.
The sides of a triangle are 3 consecutive odd integers and the shortest side is 20% of the perimeter of the triangle. What is the perimeter of the triangle?
Answer:
15 units
Step-by-step explanation:
The terms of an odd integer are given by 2n - 1. Since the sides of the triangle are three consecutive odd integers, let them be 2n - 1, 2(n + 1) - 1 and 2(n + 2) - 1 respectively, where 2n - 1 is the shortest side
Let P = perimeter of triangle = 2n - 1 + 2(n + 1) - 1 + 2(n + 2) - 1
= 2n - 1 + 2n + 2 - 1 + 2n + 4 - 1
= 2n - 1 + 2n + 1 + 2n + 3
= 2n + 2n + 2n - 1 + 1 + 3
= 6n + 3
Since the shortest side is 20% of the perimeter of the triangle, we have that
2n - 1 = 20%(6n + 3)
2n - 1 = 0.2(6n + 3)
expanding the bracket, we have
2n - 1 = 1.2n + 0.6
subtracting -1.2n and adding +1 to both sides, we have
2n - 1.2n = 1 + 0.6
0.8n = 1.6
dividing both sides by 0.8, we have
n = 1.6/0.8
n = 2
Since P = 6n + 3, substituting n = 2, we have
P = 6(2) + 3 = 12 + 3 = 15 units
Solve each equation using the substitution method.
8t=56
Answer: t= 7
Step-by-step explanation:
Take 56 divided by 8 and you get the remainder of 7. So t must equal 7.
The weatherman says that there is a 90% chance of rain tomorrow. Find the odds that it will rain tomorrow.
Answer:
9 out of 10
Step-by-step explanation:
90 percent chance simply means 90÷100
Which is 9 out of 10
Multiplying whole numbers and fractions
Answer:
What is the question here?
Step-by-step explanation:
Answer:
uhh excuse me sir you dont have the paper or anything for me to answer but thanks for the points
Step-by-step explanation:
add the paper
Step-by-step explanation:
PLEASE HELP ME SCHOOL IS REALLY OVER SOON
Answer: 3 x 6
18 yd²
Step-by-step explanation:
Answer:the area is 18
Step-by-step explanation: I need brainliest for the next rank I’d appreciate it
Hamad invested 5000 AED in an account that pays 5% annual interest.
After how many years will the value in Hamad's account be $25,000?
Answer:
About 33 years.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Simple Interest Rate Formula: [tex]\displaystyle A = P(1 + r)^t[/tex]
P is principle amountr is ratet is time (in years)Logarithm Property 1: [tex]\displaystyle log(a^x) = xloga[/tex]
Step-by-step explanation:
Step 1: Define
Identify
P = 5000
r = 5% = 0.05
A = 25000
t = unknown
Step 2: Solve for t
Substitute in variables [Simple Interest Rate Formula]: [tex]\displaystyle 25000 = 5000(1 + 0.05)^t[/tex][Division Property of Equality] Divide 5000 on both sides: [tex]\displaystyle 5 = (1 + 0.05)^t[/tex](Parenthesis) Add: [tex]\displaystyle 5 = (1.05)^t[/tex][Equality Property] log both sides: [tex]\displaystyle log5 = log[(1.05)^t][/tex]Rewrite [Log Property 1]: [tex]\displaystyle log5 = tlog1.05[/tex][Division Property of Equality] Isolate t: [tex]\displaystyle \frac{log5}{log1.05} = t[/tex]Rewrite: [tex]\displaystyle t = \frac{log5}{log1.05}[/tex]Evaluate: [tex]\displaystyle t = 32.9869[/tex]Lupe needs to make a poster that is 2 m by 4 m for the big game. The cost of the paper is $1.75. Later she needs another poster with dimensions 1 m by 2 m. What is the paper for this poster likely to cost
Answer:
$0.42
Step-by-step explanation:
Given data
Dimension
Length=4m
Width=2m
Cost= $1.75
Area= 4*2= 8m^2
Cost per area=1.75/8
Cost per area=$0.21 per m^2
The new poster's dimension
Lenght =2m
Width= 1m
Area= 2*1= 2m^2
Hence if a square meter cost $0.21
Then 2 square meter will cost x
cross multiply
2*0.21=x
x=$0.42
Hence the new poster will cost $0.42
Rebecca paid $16.90 to place an advertisement in a local
newspaper. The newspaper charged $4.50 set up fee and $0.40
per word. How many words were in Rebecca's advertisement?
Answer:
31 words
Step-by-step explanation:
because the set up fee is 4:50$, minus this from the price Rebecca payed
16.90-4.50=$12.40
now divide this amount by $0.40 in order to get her word count
12.40÷0.40=31
PLEASE SOLVE. FIRST ANSWER WITH EXPLANATION GETS MOST BRAINLIEST AND 10 POINTS. THANKS ;)
What is the approximate 47? Give your answer and explain why it is correct. HELP
Answer:
7
Step-by-step explanation:
7 is approximate to [tex]\sqrt{47}[/tex] because 7 is [tex]\sqrt{49}[/tex], and 49 is close to 47
Answer:
Step-by-step explanation:
[tex]6^{2} =36\\7^2=49\\therefore,6< \sqrt{47} <7,\\6.5^2=42.25,\\therefore,6.5< \sqrt{47} <7,\\6.75^2=45.5625\\therefore,6.75< \sqrt{47} <7\\6.85^2=46.9225\\therefore,6.85< \sqrt{47} <7\\6.9^2=47.61\\therefore,6.85< \sqrt{47} <6.9[/tex]
What is the area of a sector with radius 6" and measure of arc equal to 120°?
12 π sq. in.
36 π sq. in.
6 π sq. in.
4 π sq. in.
Answer:
12 π sq. in.
Step-by-step explanation:
Circumference c = 2πr
Arc Length s = [tex](\frac{0^0}{360^0})[/tex] (2πr)
s = [tex](\frac{120}{360})[/tex] * 2π * 6 = 4π = 12
Mark me as brainliest!!
Please help me A line that includes the point (3, 3) has a slope of 4. What
is its equation in slope-intercept form?
Answer:You can do this two ways: Either use the slope intercept form
y = mx + b with slope m=-2 so y = -2x +b
From that use x=5, y = -3 to solve for b
-3 = -2(5) + b
-3 = -10 + b
10-3 = b
7 = b
Your equation is: y = -2x + 7
OR
Use the point slope formula: y - y1 = m(x-x1)
with m = -2, (x1, y1) = (5,-3)
y-(-3) = -2(x-5)
y + 3 = -2x + 10
y = -2x + 10 - 3
y = -2x + 7
Step-by-step explanation:
SA = 2pi * r ^ 2 + 2pi * r * h (Use 3.14 for .) How much metal is needed to create a trash can with a height of 4 feet and a base radius of 1 foot? (Find the surface area of the cylinder.) pi square feet Do NOT round your answer.
Answer:123
Step-by-step explanation:
please solve rhis ques
Answer:
The highest common factor is (a + b)
Step-by-step explanation:
We start by making a factorization of the first expression
By using the difference of two squares, we can have it as;
a^2 - b^2 = (a + b)(a-b)
For the second expression, we already have;
(a + b)^2 = (a + b)(a + b)
What this mean is that (a + b) is common to both expressions and we have it as the highest common factor
Help if you can:
Which situation can be represented by the
integer 10?
a) A temperature drop of 10 F
b) 10 seconds before takeoff
c) A growth of 10 centimeters
d) A fall of 10 feet
2x+3y=12 in slop-intercept form
Answer:
Answer: y = 5/3x - 4
Step-by-step explanation:
Answer:
2x+3y=12 in slop-intercept form is shown at the bottom
PLEASE MARK BRAINLIEST ←←←Hello i really need help i got 1/36 but I wanna be sure thanks
Answer:
You are correct great job! I believe you did
1/4 × 1/9 = 1/36 If so thats exactly the right method!
A pendulum is constructed by attaching a 4m rope to a bowling ball. It is then displaced 2m to one side and released.
Ignoring all effects of friction, and without knots,
a) Determine the period of the pendulum. Round to one decimal place.
Answer:
T = 4.0 s
Step-by-step explanation:
The period of a simple pendulum is given by
[tex]period = 2\pi \sqrt{ \frac{l}{g} } [/tex]
where l = length of the pendulum
= 4 m
g = acceleration due to gravity
= 9.8 m/s^2
[tex]period = 2\pi \sqrt{ \frac{(4 \: m)}{(9.8 \: \frac{m}{ {s}^{2} } )} } = 4.0 \: s[/tex]
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter. To the nearest inch, how many inches are in 2 meters?
Answer:
1400 cm/ 2.54 cm per inch = 551 inches. Step-by-step explanation: There are 39.3701 inches in 1 meter, so all you have to do is multiply. :) 551 inches.Step-by-step explanation:
HELP PLEASE ASAP
Which expressions are simplified correctly? Click to select answers. Click again to unselect answers. Leave the incorrect answers unselected.
7^3/7^2 = 7
(18^3)^3 = 18^6
2^10/2 = 2^9
(9^2)^4 = 9^6
10^5/10^2 = 10^7
Step-by-step explanation:
the correct ones :
7³/7² =7
2^10/2 = 2^9
Answer:
A and CStep-by-step explanation:
A. 7³/7² = 7³⁻² = 7¹ = 7, correctB. (18³)³ = 18³*³ = 18⁹ ≠ 18⁶, incorrectC. 2¹⁰/2 = 2¹⁰⁻¹ = 2⁹, correctD. (9²)⁴ = 9²*⁴ = 9⁸ ≠ 9⁶, incorrectE. 10⁵/10² = 10⁵⁻² = 10³ ≠ 10⁷, incorrect
A survey of 27 students and 16 teachers asks whether recess should be extended by 15 minutes each day. The two-way table shows the
results. Use the survey results to make a two-way table that shows the conditional relative frequencies based on the row totals. Round each
value to the nearest thousandth. NEED ASAP
Answer:
1. 0.481 2. 0.519 3. 0.438 4. 0.563
Step-by-step explanation:
Each value to the nearest thousandth 1. 0.481 2. 0.519 3. 0.438 4. 0.563.
We have given that,
A survey of 27 students and 16 teachers asks whether recess should be extended by 15 minutes each day. The two-way table shows the
results.
Use the survey results to make a two-way table that shows the conditional relative frequencies based on the row totals.
What is the relative frequencies?
A relative frequency indicates how often a specific kind of event occurs within the total number of observations. It is a type of frequency that uses percentages, proportions, and fractions.
Each value to the nearest thousandth 1. 0.481 2. 0.519 3. 0.438 4. 0.563.
To learn more about the frequencies visit:
https://brainly.com/question/15946945
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What are the solutions of the equation 9x4 - 2x2 - 7 = 0? Use u substitution to
solve
Workout the value of 7^4 ( ^= means squared)
Answer:
2401
Step-by-step explanation:
Answer:
2401
Step-by-step explanation:
7*7*7*7
Distance between -12 and
12
Answer:
24
Step-by-step explanation:
HELP ME PLEASE!!! I’ll mark brainly
Answer:
yes
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
yes
is y=4 and x=8 perpendicular ??
Answer:
yes
Step-by-step explanation:
y=4 is a horizontal line which crosses the y-axis at 4; slope is zero
x=8 is a vertical line which crosses the x-axis at 8; slope is undefined
The length of one piece of string is 1/5m. What will be the total length of 4 such pieces of string?
Answer: [tex]\dfrac{4}{5}\ m[/tex]
Step-by-step explanation:
Given
The length of one piece of string is [tex]\frac{1}{5}\ m[/tex]
So, the length of 4 pieces is the addition of four-piece length.
[tex]\Rightarrow L=\dfrac{1}{5}+\dfrac{1}{5}+\dfrac{1}{5}+\dfrac{1}{5}\\\\\Rightarrow L=4\times \dfrac{1}{5}\\\\\Rightarrow L=\dfrac{4}{5}\ m[/tex]