Simplify:
1st Method:
1(4/7) ÷ 2/3 - 9/14
⇛(7*4)/7 ÷ 2/3 - 9/14
⇛28/7 ÷ 2/3 - 9/14
Take LCM of 3 and 14 is 42.
⇛28/7 ÷ (28-27)/42
⇛28/7 ÷ 1/42
⇛28/7 × 42/1
⇛(28 × 6)/1
⇛168/1
⇛168 Ans.
2nd Method:
1(4/7) ÷ 2/3 - 9/14
⇛(7*4)/7 ÷ 2/3 - 9/14
⇛28/7 ÷ 2/3 - 9/14
⇛4/1 ÷ 2/3 - 9/14
Take LCM of 3 and 14 is 42.
⇛4/1 ÷ (28-27)/42
⇛4/1 ÷ 1/42
⇛4/1 × 42/1
⇛(4 × 42)/(1×1)
⇛164/1
⇛164 Ans.
If a town with a population of 10000 doubles in size every 43 years, what will the population be 86 years from now
Answer:This is an exponential growth problem. If the population doubles periodically, it follows a law like this:
P(t) = P(0)ekt
where P(0) is the initial population at time t=0, and k is a constant with units of years-1.
To find k, let t=0. Then P(t) = P(0) = initial population = 5000.
Since the population doubles every 12 years, we can write
P(t+12) = 2P(t)
P(0)ek(t+12) = 2[P(0)ekt]
Simplifying,
e12k = 2
k = ln(2) / 12 = 0.0577623 years-1
Finally,
P(t) = 5000e0.0577623t, t in years
Then at t=48 years from now,
P(48) = 5000e(0.0577623 * 48) = 80,000
Step-by-step explanation:
A bakery prepares boxes of desserts. Each box contains twice as many cookies as brownies. Which line on the graph depicts the number of cookies relative to the number of brownies?
a(first screenshot
b(second screenshot
c( third screenshot
d(fourth screenshot
Answer: First graph.
Step-by-step explanation:
Let C be the number of cookies, and B the number of brownies.
Each box has 2B = C [2 brownies and 1 cookie]
Box B C
1 2 1
2 4 2
3 6 3
4 8 4
Graph 1 matches this data. A line with a slope of 2.
Write fractions in simplest form 9/10 + (-3)
Answer:
-2.1=Step-by-step explanation:
help solve please! (image)
Answer:
4
Step-by-step explanation:
[tex](20-2^{2} )[/tex] ÷ [tex](6-2)[/tex]
(20-4) ÷ 4
16 ÷ 4=4
Answer:
2
Step-by-step explanation:
Here we're "evaluating," not solving, the given expression.
Substitute -2 for x and 6 for y:
20 - (-2)^2 20 - 4
--------------- = -------------- = 16/8 = 2
(6) - (-2) 8
The value of this expression, when x = -2 and y = 6, is 2.
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
what multiplies to get -160 and adds to get 36
Answer:
-36/161
Step-by-step explanation:
-160 · x = 36 + x
I hope that this helps!
f f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x))? On a coordinate plane, a straight line has a positive slope and goes through (negative 2, negative 1), (0, 0), and (4, 2). On a coordinate plane, a straight line has a positive slope and goes through (negative 3, negative 3), (0, 0), and (3, 3). On a coordinate plane, a straight line has a negative slope and goes through (negative 4, 2), (0, 0), and (4, negative 2). On a coordinate plane, a straight line has a negative slope and goes through (negative 3, 3), (0, 0), (3, negative 3).
Using inverse function concepts, it is found that the graph of f(g(x)) is given as follows:
On a coordinate plane, a straight line has a positive slope and goes through (-3,-3), (0, 0), and (3, 3).
What happens when two inverse functions are composed?When two functions f(x) and g(x), that are inverse of one another, are composed, that is, y = f(g(x)), the resulting function is given by:
y = x.
Hence the graph of f(g(x)) is given as follows:
On a coordinate plane, a straight line has a positive slope and goes through (-3,-3), (0, 0), and (3, 3).
More can be learned about inverse functions at https://brainly.com/question/8824268
#SPJ1
Colin had b books. Then he went to a book sale and bought 35 more books. Choose the expression that shows how many books Colin has now.
Answer:
b + 35 = x (or any other variable)
Step-by-step explanation:
\
Answer:
b + 35 = ??
Step-by-step explanation:
or something like that you would do b plus 35 to find how much he has now.
how to solve: -4(2x - 5) = 3x -13
~one variable linear equation
==============================
-4(2x - 5) = 3x - 13
= -8x + 20 = 3x - 13
= -8x + 20 - 3x = -13
= -8x - 3x = -13 - 20
= -11x = -13 - 20
= -11x = -33
= x = -33 ÷ -11
= x = 3 ✔️
~ nice to help you ^^
helpppppppppp meeeee
Answer:
4.5
Step-by-step explanation:
6.1% of 40 is what number
Answer:
2.44
Explanation:
The number of 6.1% of 40 is 2.44.
If you can start a game every 2 minutes, and you get paid $40 for every 100 games, What is the least amount of time it
will take for you to earn at least $900
:
fyubwagcduysrewucf ac VYRVYVFYEVEY FGVEGOWFVGEWVdyVWUVyigygdgvfvgfvew fbqy vwfyv
Find the area of the figure.
What is the simplified ratio of:
8 weeks is to 12 days
Answer:
14:3
Step-by-step explanation:
8 weeks is 56 day. Know we have 56:12 divide those by 2 and we get 28:6
divide those by 2 and get 14:3 We cannot do anymore changes to that.
Find the slope of the line.
Answer:
1
Step-by-step explanation:
it can't be 2 because a slope is always in the mid or after a starting point I think..
Hello there! (:
To find the slope of this graph, we must calculate the rise over the run.
The rise is the amount of units we move up or down; the run is the amount of units we move right or left.
So here, we move 2 units up and 4 units to the right:
[tex]\frac{2}{4}[/tex]
We can reduce our fraction (divide the top and bottom by 2):
[tex]\frac{1}{2}[/tex]
Hope it helps! Please mark Brainliest; I would really appreciate that! (:
~SparklingFlower (:
-3w+15w+7=8w+43 what does w equal?
Answer:
w = 9
Step-by-step explanation:
- 3w + 15w + 7 = 8w + 43 , simplifying
12w + 7 = 8w + 43 ( subtract 8w from both sides )
4w + 7 = 43 ( subtract 7 from both sides )
4w = 36 ( divide both sides by 4 )
w = 9
W=9
first, you simplify the expression.
12w + 7 = 8w + 43.
After that, we group all the w terms on the left side of the equation.
Subtract 8w from both sides:
12w + 7 - 8w = 8w + 43 - 8w
Group like terms:
12w - 8w + 7 = 8w + 43 - 8w
Simplify the arithmetic:
4w + 7 = 8w + 43 - 8w
Group like terms:
4w + 7 = 8w - 8w + 43
Simplify the arithmetic:
4w + 7 =43
Then, we group all constants on the right side of the equation
Subtract 7 from both sides:
4w + 7 - 7 = 43 - 7
Simplify the arithmetic:
4w = 43 - 7
4w = 36
Now, we isolate the w. Divide both sides by4:
4w / 4 = 36 / 4
Simplify the fraction:
w = 36/4
Find the greatest common factor of the numerator and denominator:
w = 9 × 4/1 × 4
Factor out and cancel the greatest common factor:
w = 9
A ten year old girl was 4 feet and 9 inches , simce then , she has grown 5 inches tall, how tall is she.?
Answer: 14
Step-by-step explanation:
PLEASE HELP ME OML
Given:
A
C
‾
⊥
B
D
‾
AC
⊥
BD
and
∠
A
≅
∠
C
.
∠A≅∠C.
Prove:
△
A
B
D
≅
△
C
B
D
△ABD≅△CBD.
Answer:
Step-by-step explanation:
The answer is ac
5/9 of 7m limit, 2/7 of how many meters?
Answer:
1.1 m limit
Step-by-step explanation:
5/9*2/7=10/63
10/63*7 =70/63
= 1.1 m
pls help if ur good at math
Answer:
-3
Step-by-step explanation:
Answer:
y= -1/2 x -8
Step-by-step explanation:
as following the two points,
formula must be y=mx+b
slope= - (1/2) x
b= -8
If the probability of an event is 2/7, then the probability of the complement is:
9514 1404 393
Answer:
5/7
Step-by-step explanation:
If the probability of an event is p, the probability of the complement of the event is ...
q = 1 -p
q = 1 -2/7 = 5/7
The probability of the complement is 5/7.
PLEASE HELP MEEEEE
An electronics retailer sells a washing machine at cost price (how much the retailer paid for it) of $400 with a profit of 20%. What price does the customer pay?
Answer:
$480
Step-by-step explanation:
They sold the machine for $400 but made a profit of 20%.
This mean you would take 400 × .20
This gives you 80
That means the retailer got an extra 20% or $80
for the washing machine.
$400 + $80 = $480
HEEELLLPPPPPPPPP THIS IS HARD TO UNDERSTANDDDDDDDD
C=2πr 的替代公式是 C=πd。
这是直径，是给定的测量值。
这意味着我们可以：
C = π*20 = 62.8ft
本题已由中国数学会官方解答（现有会员：3人）
given that any function of f(x)=x+a/x, where a and can be any value,will have the inverse of the form f^-1(x)=a/x-1
find the inverse of f(x)=x+4/x
please add your working
If f^(-1) is the inverse of f, then
f(f^(-1)(x)) = x
It looks like f(x) = (x + a)/x. This gives us
f(f^(-1)(x)) = (f^(-1)(x) + a)/f^(-1)(x) = x
Solve for f^(-1)(x) :
f^(-1)(x) + a = x f^(-1)(x)
f^(-1)(x) - x f^(-1)(x) = -a
(1 - x) f^(-1)(x) = -a
f^(-1)(x) = -a/(1 - x)
f^(-1)(x) = a/(x - 1)
If a = 4, then the inverse is f^(-1)(x) = 4/(x - 1).
What does 4+24÷-6×2=
Answer:
-2, as the expression is written
Step-by-step explanation:
It depends on how one interprets the expression. The expression, as written, is:
4+24÷-6×2=
A fundamental rule in math is known as PEMDAS. This acronym describes the order of operations that are to be followed when solving mathematical expressions. PEMDAS stands for
P- Parentheses,
E- Exponents,
M- Multiplication,
D- Division,
A- Addition, and
S- Subtraction.
The use of parentheses is critical in math expressions, as we will see here.
The are no parentheses in "4+24÷-6×2=." So we will follow the steps are shown above:
Multiplication: 4+24÷-6×2 = 4+24÷-12
Division: 4+24÷-12 = 4+-2
Addition: 4+-2 = 2
The expression as written is equal to 2.
But if parentheses were included in the origianl proble, the answer might be different. For example:
(4+24)÷-6×2=
Parentheses: (4+24)÷-6×2= (28)÷-6×2=
Multiplication: (28)÷-6×2= (28)/-12
Division: (28)/-12 = -2.333 . . .
What is the square foot area of a room with a length of 10¾ feet and a width of 8½ feet?
Answer:
91 3/8
Step-by-step explanation:
10 3/4 x 8 1/2 = 91 3/8
the measures of the angles of a triangle are shown in the figure below. solve for x.
Answer:
33
Step-by-step explanation:
PLZ HELP!!!!!!!!
what is 5 x 2 + 7² = ???
Answer:
The Answer is 59
Step-by-step explanation:
5*2+7^2
=5*2+49
=10+49
=59
I hope that you have found this answer to be helpful. Have a wonderful day.
jessica saves quarters and dimes in a jar.She uses the expression 0.25q+0.1d to find the value of the coins the variable q is the number of quarters and the d is the number of dimes.Find the value of the coins when jessica has 18 quarters and 15 dimes.Show your work
Answer:
$6.00
Step-by-step explanation:
Total amount of money = 0.25q + 0.1d
where q is the number of quarters and d is the number of dimes
The problem states we have 18 quarters: d = 18
And that there are 15 dimes: d = 15
Plugging it in we get
= 0.25(18) + 0.1(15)
= 4.5 + 1.5
= 6.0
How do I find the slope
Answer:for a graph u use rise over run. If u just have the points u use the formula which is m=y2-y1/x2-x1
Step-by-step explanation:
Answer ASAP. :) Thank you!
Answer:
c = 55
Step-by-step explanation:
I would solve this by cross multiplying, but some teachers don't appreciate you skipping a step like that. Instead:
[tex]\frac{5}{2} =\frac{c}{22}[/tex]
First, multiply both sides by 2:
[tex]5=\frac{2c}{22}[/tex]
Then, multiply both sides by 22:
[tex]2c=110[/tex]
Now, just solve for c by dividing both sides by 2:
[tex]c=55[/tex]
Answer:
C = 55
Step-by-step explanation:
To figure out c you must first isolate c so there shouldn't be any other numbers or signs (addition, subtraction, division, and multiplication) on the same side of the equal sign as variable C.
The inverse of dividing 22 is multiplying 22 on both sides of the equation.
You would get 22/1 * 5/2 = C. 22 * 5 is 110 and 1 * 2 is still 2 so 110/2 = C.
Enter 110/2 into the calculator and you would get C = 55
