Hi,
4a - 11 = 2a + 3
4a - 11 + 11 = 2a + 3 + 11
4a = 2a +14
4a - 2a = 2a - 2a + 14
2a = 14
2a / 2 = 14 / 2
a = 7
3z + 12 = 15
3z + 12 - 12 = 15 - 12
3z = 3
3z / 3 = 3 / 3
z = 1
2 - 6b = 20
2 - 2 - 6b = 20 - 2
- 6b = 18
6b = - 18
6b / 6 = -18 / 6
b = -3
3y - 5 = 27 - y
3y - 5 + 5 = 27 - y + 5
3y = - y +32
3y + y = - y + y +32
4y = 32
4y / 4 = 32 / 4
y = 8
✅(◠‿◕)
#A
4a - 11 = 2a + 3 4a - 2a = 3 + 112a = 14 a = 14/2 a = 7✅#B
3z + 12 = 15 3z = 15 - 12 3z = 3 z = 3/3 z = 1✅#C
2 - 6b = 20 -6b = 20 - 2 -6b = 18 b = 18/(-6)b = -3✅#D
3y - 5 = 27 - y 3y + y = 27 + 5 4y = 32 y = 32/4 y = 8✅After Don ate 1/8 of the pie and Ron ate 1/7 of the remainder of the pie, the other five friends divided the rest of the pie equally among themselves what percent of the original pie did each friend eat?
x = the whole pie.
well, Don ate (1/8)x, how much was it left? [tex]x -\cfrac{1}{8}x\implies \cfrac{x}{1} -\cfrac{x}{8}\implies \cfrac{8x-x}{8}\implies \cfrac{7x}{8}[/tex]
well, so that's the remainder.
Then Ron ate 1/7 of the remainder [tex]\cfrac{7x}{8}\div 7\implies \cfrac{7x}{8}\div \cfrac{7}{1}\implies \cfrac{7x}{8}\cdot \cfrac{1}{7}\implies \cfrac{x}{8}[/tex]
well, how much is it left? [tex]\stackrel{\textit{Don leftover}}{\cfrac{7x}{8}}-\stackrel{\textit{Ron's bite}}{\cfrac{x}{8}}\implies \cfrac{6x}{8}\implies \cfrac{3x}{4}[/tex]
well, there are 5 friends how much did each one get from the whole pie?
[tex]\cfrac{3x}{4}\div 5\implies \cfrac{3x}{4}\div \cfrac{5}{1}\implies \cfrac{3x}{4}\cdot \cfrac{1}{5}\implies \implies \cfrac{3x}{20}\implies \stackrel{\textit{each friend}}{\boxed{\cfrac{3}{20}x}}[/tex]
Can someone help me please
Answer:
52.7%
Step-by-step explanation:
If I am correct it means to round the percentage, so it would be 58% if you are rounding it
How to solve this question? Adding algebraic fractions
Answer:
it should be 2/12 and 9/11
Step-by-step explanation:
please help me i’ll give brainlist
Answer:
See explanation below
Step-by-step explanation:
1. 0.65 = 65/100
not 65/1000
65/1000 is 0.065. We want 0.65.
2. 0.65 = 65/100 = 13/20
Q5). If A={3,4} B= {2,3,4} C={3,4,5} then find (BxB) ∩ (CxC)
Step-by-step explanation:
Given that
A = {3,4}
B = { 2,3,4}
C ={3,4,5}
BXB = {2,3,4}×{2,3,4}
⇛ {(2,2),(2,3),(2,4),(3,2),(3,3),(3,4),(4,2),(4,3),(4,4)}
and
CXC = {3,4,5}X{3,4,5}
⇛ {(3,,3),(3,4,)(3,5),(4,3),(4,4),(4,5),(5,3),(5,4),(5,5)}
Now
(BxB) n(CxC)
⇛ {(2,2),(2,3),(2,4),(3,2),(3,3),(3,4),(4,2),(4,3),(4,4)} n
{(3,,3),(3,4,)(3,5),(4,3),(4,4),(4,5),(5,3),(5,4),(5,5)}
⇛ {(3,3),(3,4),(4,3),(4,4,)}
Additional comment:
AxB is the Cartesian product of the two sets A and B on which (a,b) form a belongs to A and b belongs to BAnB is the set of Common elements in both A and BCould I get help…………
Answer:
B
Step-by-step explanation:
HOPE IT HELPS <3
MARK as brainliest
NEED ASAP
in a company, 65% of workers are men. if 1,995 people work for the company who aren’t men, how many worker are their in all.
Answer:
5700
Step-by-step explanation:
Assume that the total number of people working for the company is x. Since 65% of workers are men and 1,995 people working for the working are not men, then that means that 35% of the total number of people working for the company is equal 1,995.
Set up an equation: 0.35x = 1,995 and find x.
x = 5700
What is the better buy?
16 oz of goldfish for $4.75
9 oz of goldfish for $2.50
Answer:
Maybe 9 oz, if I’m wrong sorry! D:
Eric is helping his younger sister learn division. He is having a hard time explaining what a remainder is. Help Eric out by describing what a remainder is in your own words. What is the remainder when 76 is divided by 3?
Answer:
1
Step-by-step explanation:
The remainder is what’s left when you divide. The part you cannot divide.
You can divide 75 by 3 = 25, so the remainder is 1.
–5(–2) = help me please ill give brainlist
Answer:
The answer is 10!
Step-by-step explanation:
PLEASE NO LINKS DONT WASTE YOUR TIME IM NOT GONNA CLICK. What are the zeros of this function?
Answer: C. x = 4 and x = 6
Step-by-step explanation:
Zeros of a function would be the value of x when f(x) is 0.
Based on the given graph, the parabola has 2 locations where the y-value is 0 and the graph hits the x-axis.
The graph hits the x-axis at 4 and at 6.
Answer:
I dont but want to.
Hope this helps! :) ;-;
Step-by-step explanation:
no link no bot right please
Answer:
27pi in^3
Step-by-step explanation:
the volume for a cone is (1/3)pi*r^2*h. r=3in, h=9in. so the volume is (1/3)*pi*3^2*9=27pi
using the distributive property, rewrite the expression (-2x - 8) (-6)
please help and explain how to do it
Answer:
2x8=16-6=10
Step-by-step explanation:
10 is the answer
98546 dividido para
46
Answer:
2142.30435
Step-by-step explanation:
The answer is 2142 and leaves remainder
What is .7899 rounded 4 decimal places
Y=2x+9
Y=6-x
Solve the system of linear equations by
In which quadrant does the point (13 , 20) lie? A. Quadrant III B. Quadrant I C. Quadrant IV D. Quadrant II
Answer:
B.
Step-by-step explanation:
The first quadrant is the upper right-hand corner of the graph, the section where both x and y are positive. The second quadrant, in the upper left-hand corner, includes negative values of x and positive values of y. The third quadrant, the lower left-hand corner, includes negative values of both x and y.
Without graphing, classify the system of equations as either consistent or inconsistent.
−7x+8y=9
21x/8−3y=−6
Select the best appropriate choice below.
Decide whether you have enough information to determine that the triangles are congruent.
If they are congruent, explain why by selecting the appropriate reason.
. .
•ASA Triangle Congruence Theorem
•SAS Triangle Congruence Theorem
•SSS Triangle Congruence Theorem
•AAS Triangle Congruence Theorem
•HL Triangle Congruence Theorem
•Not Enough Information To Determine Triangles Congruent
PLEASE HELP ;-;
Which expression represents 81 decreased by an unknown number?
81÷a
81a
81−a
81 + a
Answer:
81 - a
Step-by-step explanation:
Decreased
means to subtract
81 –
by an unknown number
means a variable such as a or x
therefor
81 – a
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
Fertilizer puts nitrogen into the soil, so using fertilizer puts more nitrogen into the carbon cycle.
When you use fertilizer, its because a certain plant you are planting uses all the nitrogen in the soil, so it won't grow next time. Too much fertilizer, though, would burn up your plant (not literally). Some plants put their own nitrogen into the soil. I can't think of one off the top of my head, but I believe potatoes do. Anyways, this is where crop rotation came into play.
Things like corn take a lot of nitrogen, so the next time you had to plant whatever plant potatoes, which again may be wrong, in order to get nitrogen for the corn to grow next season. Today we have fertilizer, so we can give them nitrogen while they grow, instead of putting in other plants, taking more time.
So really, it doesn't do much, because your plant takes all the nitrogen that the Fertilizer adds.
Answer:
People have been converting atmospheric nitrogen into nitrogen fertilizers and then applying the fertilizers to plants in to grow more crops. This has previously been quite effective, allowing individuals to farm on previously unproductive lands, and provide adequate food for expanding populations of people. Unfortunately, fertilizers are frequently overused, which can lead to issues.
Nitrogen from fertilizers excretes into soils, typically promoting the growth of weeds rather than native vegetation. Nitrogen then washes into streams, resulting in a nutrient overload, a phenomenon known as eutrophication.
Eutrophication causes aquatic weeds to proliferate excessively in freshwater lakes. These aquatic weeds occasionally occupy entire lakes, streams, or rivers. Green algae cloud the water, and gooey algal slime covers the shallow rocks.
When nitrogen-rich waters flow down into the ocean, they worsen the situation. High nitrogen concentrations in the Mississippi River Delta have generated a 'dead zone' where the water flows into the Gulf of Mexico. This has occurred every summer for over 30 years. In 2001, this dead zone, where oxygen levels are too low for species to thrive, encompassed over 8000 square miles of water. It occurs when nitrogen in the water enables algae to quickly grow out of control.
Step-by-step explanation:
Great article to look at for more information -
https://www.nytimes.com/2017/07/27/climate/nitrogen-fertilizers-climate-change-pollution-waterways-global-warming.html
The sum of two numbers is 65. The larger number is 5 more than the smaller number. What are the numbers?
Answer:
30 and 35
Step-by-step explanation:
Put this question into equation form:
Let x be the smaller number, if the larger number is 5 more and the total is 65:
x + 5 + x = 65
2x + 5 = 65
Subtract 5 from both sides
2x + 5 - 5 = 65 - 5
2x = 60
Divide both sides by 2:
2x ÷ 2 = 60 ÷ 2
x = 30
As the larger number is 5 bigger:
30 + 5 = 35
So the two numbers are 30 and 35.
Hope this helps!
Answer:
Small number 30
Large Number 35
Step-by-step explanation:
The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:
x + y = 65
The difference between x and y is 5. In other words, x minus y equals 5 and can be written as equation B:
x - y = 5
Now solve equation B for x to get the revised equation B:
x - y = 5
x = 5 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 65
5 + y + y = 65
5 + 2y = 65
2y = 60
y = 30
Now we know y is 30. Which means that we can substitute y for 30 in equation A and solve for x:
x + y = 65
x + 30 = 65
X = 35
Therefore the large and small number us 35 and 30 respectively.
A flight from Boston to London took only 5 hours because of a strong tailwind. The flight back to Boston against the same wind took 6 hours. What was the speed of the wind if the speed of the plane in still air is 550 mph?
Step-by-step explanation:
let v is the speed of the wind,
the equation of the speed:
(550 + v ) × 5 = (550 - v) × 6
2750 +5v = 3300 - 6v
11v = 3300 - 2750
11v = 550
v = 550/11
v = 50
therefore, the speed of the wind =
50 mph
Step-by-step explanation:
v = speed of the wind5(550 + v) = 6(550 - v)
2.750 + 5v = 3.330 - 6v
5v + 6v = 3.300 - 2.750
11v = 550
v = 550 ÷ 11
v = 50mph
What is the meaning of algebra and expressions
In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number). For example, 3x2 − 2xy + c is an algebraic expressio
Answer:
Algebra is a branch of mathematics that substitutes letters for numbers. Algebra is about finding the unknown or putting real-life variables into equations and then solving them. Algebra can include real and complex numbers, matrices, and vectors. An algebraic equation represents a scale where what is done on one side of the scale is also done to the other and numbers act as constants.
Expressions is a Numbers, symbols and operators (such as + and ×) grouped together that show the value of something.
Examples:
• 2 + 3 is an expression
• 3 − x/2 is also an expression
Simplify the expression w²y³ ÷ wy⁴ please help me thank you for you kindness
Answer:
W/y
Step-by-step explanation:
A bedroom is in the shape of a square. The length of the room is 6p7q. What is the area of the bedroom in terms of p and q?
Answer:
(6p7q)²
Step-by-step explanation:
you have to square the length to find the area of a square
The area of the bedroom would be (6p7q)² square units.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
A bedroom is in the shape of a square. The length of the room is 6p7q.
According to the given question, we can write the dimension as:
The width of the room = 6p7q units
The length of the room = 6p7q units
The area of the room = width of the room × length of the room
The area of the room = 6p7q × 6p7q
Apply the multiplication operation,
The area of the room = (6p7q)² square units
Therefore, the area of the room is (6p7q)² square units.
Learn more about the Area of the rectangle here:
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Don’t totally understand it
Answer:
A.1 B.2 E.5 F.6
Step-by-step explanation:
Hope it helps brainliest awnser pls
What is two divided by one thousand two hundred and twenty eight
Answer 1/614
Step-by-step explanation:
How many times two odd digits appear in a number when you count from 0 to 999?
The solution is: It occurred 90 times does the digit 5 occur in all the numbers from 100-999 .
What is Arithmetic progression?An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
For instance, the sequence 5, 7, 9, 11, 13, 15.. . is an arithmetic progression with a common difference of 2.
The nth term of AP : a_n = a + (n – 1) × d
here, we have,
Explanation:
Here, we want to know the number of times the digit occurs
We can solve this with arithemetic progression
The first term here is 105, while the last term is 995
However, the difference between each occurrence is 10
Thus, applying the formula:
T_n = a + (n-1) d
T_n is the last term which is 995
a is the first term which is 105
d is the common difference which is 10
n is the number of terms which we want to calculate
Substituting these values, we have it that:
995 = 105 + (n-1) 10
so, we get,
n = 900/10
=90
Hence, It occurred 90 times does the digit 5 occur in all the numbers from 100-999 .
To lean more on Arithmetic progression click:
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complete question:
How many times does the digit 5 occur in all the numbers from 100-999 ?
[2] A car is traveling at 55 MPH.
How long in minutes will it take, in minutes, to travel 33 miles?
Answer:
Step-by-step explanation:
So at 55 miles per hour you go 12 miles in a little over 13 minutes.
.
Hope this helps you to understand the problem and how to use the formula to solve it.
Distance = Speed * Time
.
You might be able to understand this by thinking, "If I go at 60 miles per hour for 2 hours,
how far do I travel?" The answer is:
.
Distance = 60 miles per hour* 2 hours = 120 miles
.
In the problem you are told that the distance to be covered is 12 miles. The speed is 55 miles
per hour. Put these into the equation and you get:
.
12 miles = 55 miles per hour * Time
.
You can then solve for the Time by dividing both sides of this equation by 55 to get:
.
12/55 = Time
.
So it takes 12/55 hours to go 12 miles. The fraction 12/55 converts to a decimal by dividing
55 into 12 to get 0.218181818 of an hour. Since an hour has 60 minutes, you can convert
the answer to minutes by multiplying 60 by 0.218181818 to get about 13.09 minutes.