Answer:
2÷ 1/3 =6
3 ÷1/2=6
4÷2/3=6
4 ÷1/2=8
12÷3/2=8
Step-by-step explanation:
Hope this helps!
Gina used one-seventh of a cup of sugar to make a pitcher of lemonade. If she were to pour the lemonade into 4 smaller glasses how much sugar would be in each glass?
Answer:
1/28 of a cup of sugar would be in each glass
Step-by-step explanation:
1/7 x 4
1/7 x 1/4
1/28
Can any one help? Model the pair of situations with exponential functions f and g. Find the approximate value of x that makes f(x) = g(x). f: initial value of 800 decreasing at a rate of 12% g: initial value of 20 increasing at a rate of 12%
Answer:
The given exponential functions f(x) and g(x) will be equal for the value of x as 4.1466.
Step-by-step explanation:
We need to give exponential function to the given constraints.
since f(x) is a decreasing function so
f(x) = [tex]a(1-r)^x[/tex]
where
a = Initial value
r = rate at which function is decreasing
as we are given the values of a and r such as a = 800 and r = 12%
upon substituting these values in the equation we get
f(x) = [tex]800(1-0.12)^x[/tex]
= [tex]800(0.88)^x[/tex]
similarly we will do for g(x) but the only difference in f(x) and g(x) will be that f(x) in a decreasing exponential function whereas g(x) is an increasing function.
g(x) = [tex]a(1-r)^x[/tex]
where a is initial value and r is the rate at which the function is increasing so upon substituting these values we get.
g(x) = [tex]20(1+0.12)^x[/tex] = [tex]20(1.12)^x[/tex]
Now,
we need to find the value of x for which f(x) and g(x) will be equal.
so
[tex]800 (0.88)^x = 20(1.12)^x[/tex]
[tex]40(0.88)^x = (1.12)^x[/tex]
x will be approximately 4.1466
Therefore the given exponential functions f(x) and g(x) will be equal for the value of x as 4.1466.
1
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In the book club, the girl to boy ratio is 6 to 9. If there are a total of 45 students, how many girls are there?
YOU MUST SHOW WORK
Answer:
18 girls
Step-by-step explanation:
6:9
6+9 = 15
we multiply each part of the ratio by 3
6*3 = 18 girls
9*3 = 27 boys
Factorise 4a²_4ab+b²
Answer:
[tex](2a -b)^2[/tex]
Step-by-step explanation:
A new tv costs 1500, a salesperson makes 3.25% commision for every sale, how much would the salesperson make for 1 tv sold.
Answer:
48.75
Step-by-step explanation:
The salesmen makes a commission of 3.25%. So to get the percent into a usable form for this take 3.25 and divided by 100. You get 0.0325.
Now you take the 0.0325 and mutliply it by the 1500. This gives you 48.75
William doubled the amount of money he had after raking leaves. Now he has $24.50. How much money did he hav before he doubled it?
Represent the amount that William had as the quotient of two rational numbers: then, determine how much money William had before he double it.
Answer:
x=8.16
Step-by-step explanation:
x=the money before
2x=doubled
3x=24.50
x=8.16
Answer:
The answer would be...
Step-by-step explanation:
$12.25 Because if you divide $24.50 by 2 then you would get the amount of money William had before he got doubled which would be $12.25.
Hope this helped
:)
If the length of a rectangle is 12cm and the area is 48. What's the breadth and what's the perimeter??
Answer:
1. The breadth is 4 cm
2. The perimeter is 32 cm
Step-by-step explanation:
From the question given above, the following data were obtained:
Length (L) = 12 cm
Area (A) = 48 cm²
1. Determination of the breadth.
Length (L) = 12 cm
Area (A) = 48 cm²
Breadth (B) =?
A = L × B
48 = 12 × B
Divide both side by 12
B = 48 / 12
B = 4 cm
Thus, the breadth is 4 cm.
2. Determination of the perimeter
Length (L) = 12 cm
Breadth (B) = 4 cm
Perimeter (P) =?
P = 2(L + B)
P = 2(12 + 4)
P = 2(16)
P = 32 cm
Thus, the perimeter of the rectangle is 32 cm
a bag of marbles contains 4 red marbles and 4 green marbles each red marble was labeled with a different number 1 through 4 and each green marble was labeled with a different number 1 through 4
Answer:
5/144
Step-by-step explanation:
Answer:
B. A = {G2, G4, R2, R4}
Step-by-step explanation:
At the local animal shelter, there are 25 cats and 30 dogs. What is the ratio of dogs to cats at the local animal shelter?
A. 1:25
B. 6:5
C. 5:6
D. 25:1
Answer:
c
Step-by-step explanation:
because im smart :)
two angles of a triangle measure 67 degrees and 90 degrees what is the measure of the third angle?
23
.
.
.
.
.
.
.
I hope it's helpful for you dude
Answer:23
Step-by-step explanation:
Write the equation of the graph in vertex form enter power using ^ and don’t forget y or f(x)
Answer:
?
Step-by-step explanation:
?
The ratio of boys to girls in a math class is 2 to 3. If the class has 20 students, how many of them are girls?
Answer:
8:12
Step-by-step
La extencion territorial de mexico es de 1960198 km2 , mientras que mocano tiene una superficie de 202.7 ha ¿cuantas veces cabe la superficie de mocano en la de mexico
Answer:
La superficie de mocano cabe 967.044 veces en la superficie de Mexico.
Step-by-step explanation:
Primero debemos convertir la unidad de la superficie (S) de mocano (m):
[tex] S_{m} = 202.7 ha*\frac{10000 m^{2}}{1 ha} = 2.027 \cdot 10^{6} m^{2} [/tex]
Ahora podemos calcular cuantas veces cabe la superficie de mocano en la de Mexico (M):
[tex] \frac{S_{M}}{S_{m}} = \frac{1.960198 \cdot 10^{9} m^{2}}{2.027 \cdot 10^{6} m^{2}} = 967.044 [/tex]
Si multiplicamos la superficie de mocano por 967.044 nos da la superficie de Mexico:
[tex] 967.044*2.027\cdot 10^{6} m^{2} = 1960198 m^{2} [/tex]
Por lo tanto, la superficie de mocano cabe 967.044 veces en la superficie de Mexico.
Espero que te sea de utilidad!
Help NOW PLEASE
Joy multiplied (3x – 3) by a
second binomial. If the product
was 9x2 – 18x + 9, find the
second binomial.
A. (3x – 3)
B. (3x + 3)
C. (3x – 6)
D. None of the above
Answer
(3x-3)
Step-by-step explanation:
Which expression is equivalent to 10- (2x° +11x2–2x-35
- (2x +11x2 – 2x-35)+(x+5)+B(4x)?
O 22x2+x+3
O 22x2 - X+7
O 22x2-x+17
O 22x2 - X+3
Answer:
The answer would be 22x^2-x+17 so the answer is C.
Step-by-step explanation:
I'm pretty sure this is correct. Good luck lol
Floyd is an aspiring musc artist. He has a record contract that pays him a bak rue d 230 a month and
an additional $12 for each album that he sells. Last month he earned a total di S614,
Write an equation to determine the number of alus (a) Floyd sold last month.
PLEASE HELP I WILL MARK BRIANLIST
Answer:
a+a
Step-by-step explanation:
a+a
density of the cube is 9.86 g/cm³ and the volume is 150cm³ work out the mass in kg
Mass= Density *Volume
9.86 g/cm3 *150 cm3 =1479g
1479 g to kilograms
1479g= x
1000g = 1 kg
x = 1479 g / 1000 x = 1.479 kg.
Write a story that could represent this math problem.
3.8
3.707
3.71 3.83
3.83 3.809
3.89
Least to greatest
Answer:
3.707, 3.71, 3.8, 3.809, 3.83, 3.83, 3.89
Step-by-step explanation:
3.707, 3.71, 3.8, 3.809, 3.83, 3.83, 3.89
Find the value of y for the given value of x.
3. y = 3x - 5; x = 2
Answer:
x=2
Step-by-step explanation:
Answer: Y=1/3 X=2
Step-by-step explanation: Have a brilliant day mate- Lily (^_^)
Plzz mark brainliest if this helped you.
what is exponential form of b•b•b•c•c
Answer:
b^3 + c^2
Step-by-step explanation:
PLEASE HELPPPPP , I WILL GIVE YOU 15 POINTS
Answer:
I would say it's the first one correct me if I'm wrong but I hope I helped
Answer:
Addition Property of Equality
Step-by-step explanation:
Hope this helps.
Someone help me (6 points each)
Answer:
should be 107
Step-by-step explanation:
Answer:
107
Step-by-step explanation:
Since x is the 107 angle on the opposite side, it is the same
Show that ( 1 +i )2 = 2i
Given:
The statement is
[tex](1+i)^2=2i[/tex]
To prove:
The given statement [tex](1+i)^2=2i[/tex].
Solution:
We have,
[tex](1+i)^2=2i[/tex]
Taking LHS, we get
[tex]LHS=(1+i)^2[/tex]
[tex]LHS=(1)^2+2(1)(i)+(i)^2[/tex] [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]
[tex]LHS=1+2i+(-1)[/tex] [tex][\because i^2=-1][/tex]
On further simplification, we get
[tex]LHS=1+2i-1[/tex]
[tex]LHS=2i[/tex]
[tex]LHS=RHS[/tex]
Hence proved.
The radius of a circle is 14.2ft. Find the circumference to the nearest tenth
Answer:
89.1
Step-by-step explanation:
Find x, y, and z. (Round to the nearest tenth if needed.)
12
у
X
N
Answer:
I'm sorry that your frog is dead, at least now we can fry his legs ~~tasting like chicken ~~~~~~flavor ain't missing
Write one parallel equation, to the equation y = 3x + 2 with a y-intercept of 5.
Answer:
[tex]y=3x+5[/tex]
Step-by-step explanation:
Parallel lines have the same slope.
This means that we would only have to change the y-intercept to get our new line.
We are asked to write an equation of a parallel line with the y-intercept of five.
Rewrite the infomation to create the new equation. Note that parrarell lines have the same slope.
[tex]y = 3x + 2\rightarrow\boxed{y=3x+5}[/tex]
Hope this helps.
f(x)=3x2+2x−3
g(x)=2x+4
Answer:
A: 6
B: 16
C: 2
D: -12
Step-by-step explanation:
They are asking you to multiply the equations:
(3x^2 + 2x - 3)(2x + 4)
Distribute and you should get:
6x^3 + 16x^2 + 2x - 12
The Coefficients A,B,C, and D are 6, 16, 2, and -12.
Sadie had 55 stickers. Each day she gave away 5 stickers to her friends.
What is the y-intercept?
Answer:
55
Step-by-step explanation:
red bike is traveling south, toward Lawrence, at constant speed of 24km/h and a blue bike is also traveling east, away from Lawrence, at a constant speed of 12 km/h. when t=0, the red bike is 10 km north and the blue bike is 6 km east of Lawrence a. express the distance of the red bike from Lawrence, R, as a function of time in hours, t. b. express the distance of the blue bike from Lawrence, B, as a function of time in hours, t.
Answer:
a.[tex]R=10-24t[/tex]
b.[tex]B=6+6t[/tex]
Step-by-step explanation:
We are given that
Speed of red bike, v=24 km/h
Speed of blue bike, v'=12km/h
Distance of red bike when t=0
=10 km north
Distance of blue bike when t=0
=6km east
a. We have to find the expression of distance of red bike from Lawrence.
[tex]Distance=speed\times time[/tex]
Let t be the time taken by red bike
Distance of red bike from Lawrence is given by
[tex]R=10-24\times t[/tex]
[tex]R=10-24t[/tex]
b.
Distance of the blue bike from Lawrence
[tex]B=6+6\times t[/tex]
[tex]B=6+6t[/tex]