So first let’s put g(f(x)) together by putting f(x) for every x in g(x)
We get g(f(x))=3(3/4x+3)+4 which is the selling price equation
Then you plug in 20 to find the selling price for 20 muffins.
g(f(x))=3(3/4(20)+3)+4
g(f(x))=3(60/4+3)+4
g(f(x))=3(18)+4
g(f(x))=54+4
g(f(x))=58
So the selling price will be $58 for 20 muffins.
G=4ca-3ba for a Asap
Answer:
a = [tex]\frac{G}{4c-3b}[/tex]
Step-by-step explanation:
Given
G = 4ca - 3ba ← factor out a from each term on the right side
G = a(4c - 3b) ← divide both sides by (4c - 3b)
a = [tex]\frac{G}{4c-3b}[/tex]
Please help me asap! Could you please explain how you got the answer
Complete the two-way frequency table below, which shows the relationship between students who enroll in advanced Algebra and Physics in a particular high school. From a sample of 30 students, it is found that 19 are taking Algebra, 12 are taking Physics, and 4 are enrolled in both. How many students are enrolled in either Algebra or Physics?
Algebra Not in Algebra Total
Physics 4 --------- ----------------------------12
Not in Physics
Total 19---------------------------------------30
A.) 27
B.) 23
C.) 3
D.) 4
Answer:
B) 23
Step-by-step explanation:
Table: Algebra | No algebra | Total
Physics | 4 Step 1: 8 12
No physics |Step 2: 15
Total | 19 30
We look for the number of people who are in algebra and no physics or physics and no algebra.
1. 12 - 4 = 8
2. 19 - 4 = 15
3. We find the total of those numbers: 15 + 8 = 23
Answer: 27
Step-by-step explanation:
what is 3/9 of 612??
Answer:
204
Step-by-step explanation:
First you divide 612 by 9 (612÷9) which gives 68.
Then multiply 68 by 3 (68×3) giving the answer 204.
Answer:
3/9 of 612 = 204
Step-by-step explanation:
Step 1: convert 3/9 into a decimal so that its easier to work with, that will be 0.3333333333
Step 2: since we know that "of" means "X" in math, we times it by 612 to get the answer of 204
tanisha office is on the 9 floor of an office building . She parks her car in the underground parking garage 4 floors below ground level how many floors are between tanisha office and her car?
Answer: 13
Step-by-step explanation: If there are 9 floors from where Tanisha's office is to the ground, but then also 4 more floors to her car, that would simply be 9+4. There are 13 floors between Tanisha's office and her car.
Nadia plans to paint her jewelry box. The box is shaped like a rectangular prism with the dimensions
shown. which is closest to the total surface area of the jewelry box?
Answer:
[tex]132\ in^{2}[/tex] is closest to the total surface area of the box
Step-by-step explanation:
we know that
The surface area of the box is equal to
[tex]SA=2B+PH[/tex]
where
B is the area of the base
P is the perimeter of the base
H is the height of the box
we have
[tex]L=7\frac{3}{4}\ in=\frac{7*4+3}{4}=\frac{31}{4}\ in[/tex]
[tex]W=3\frac{1}{4}\ in=\frac{3*4+1}{4}=\frac{13}{4}\ in[/tex]
[tex]H=3\frac{7}{8}\ in=\frac{3*8+7}{8}=\frac{31}{8}\ in[/tex]
Find the area of the base B
[tex]B=LW[/tex]
[tex]B=(\frac{31}{4})(\frac{13}{4})=\frac{403}{16}\ in^{2}[/tex]
Find the perimeter of the base P
[tex]P=2(L+W)[/tex]
[tex]P=2(\frac{31}{4}+\frac{13}{4}))[/tex]
[tex]P=2(\frac{44}{4})=22\ in[/tex]
Find the surface area
[tex]SA=2(\frac{403}{16})+22(\frac{31}{8})[/tex]
[tex]SA=(\frac{403}{8})+(\frac{682}{8})[/tex]
[tex]SA=\frac{1,085}{8}=135.625\ in^{2}[/tex]
Solveee 3x^2 - 9 = 0
Answer:
x = ± [tex]\sqrt{3}[/tex]
Step-by-step explanation:
Given
3x² - 9 = 0 ( add 9 to both sides )
3x² = 9 ( divide both sides by 3 )
x² = 3 ( take the square root of both sides )
x = ± [tex]\sqrt{3}[/tex]
What is 3log2x-(log2(x+4)) written as a single logarithm
Answer:
[tex]\large\boxed{3\log_2x-\log_2(x+4)=\log_2\dfrac{x^3}{x+4}}[/tex]
Step-by-step explanation:
[tex]3\log_2x-\log_2(x+4)\\\\\text{use}\ \log_ab^n=n\log_ab\ \text{and}\ \log_ab-\log_ac=\log_a\dfrac{b}{c}\\\\=\log_2x^3-\log_2(x+4)=\log_2\dfrac{x^3}{x+4}\\\\\text{Domain:}\\\\x>0\ \wedge\ x+4>0\to x>0\ \wedge\ x>-4\\\\\boxed{x>0}[/tex]
Answer:
c
Step-by-step explanation:
In DEF, DE = 15, and m angle F=32 Find EF to the nearest tenth.
the answer would be 24.0.
Abe Cassidy wants to deposit the following into his savings account: 32 one-dollar bills, 4 five-dollar bills, 32 quarters, 25 dimes, 82 pennies, a check for $43.56, and a check for $122.90. He wants to receive a $50.00 bill in cash. How much will he deposit?
136.22
10.44
$229.78
$179.78
Answer:
179.78
Step-by-step explanation:
Let's count how much Abe has exactly:
32 one-dollar bills: $32
4 five-dollar bills: $20
32 quarters: $8
25 dimes : $2.50
82 pennies : $0.82
First check: $43.56
Second check: $122.90
Total = $229.78
And he wants a $50 bill... so he'll deposit $179.78 ($229.78 - $50).
Final answer:
Abe Cassidy will deposit $179.78 into his savings account.
Explanation:
Let's calculate how much Abe Cassidy will deposit into his savings account, considering he wants to receive a $50.00 bill in cash. To do this, we need to add up all the various types of money he has and then subtract the $50 he wishes to keep in cash.
32 one-dollar bills = $324 five-dollar bills = $2032 quarters = $8 (since 4 quarters = $1)25 dimes = $2.50 (since 10 dimes = $1)82 pennies = $0.82 (since 100 pennies = $1)1 check for $43.561 check for $122.90Adding all these amounts gives us a total of $229.78 before removing the $50 he wants in cash.
To find the amount he will deposit, we subtract the $50 from the total amount:
$229.78 - $50 = $179.78
Hence, Abe Cassidy will deposit $179.78 into his savings account.
Johnny and his family arrived in Williamsburg Virginia at 1:15 p.m. they drove for 45 minutes after they stopped for lunch their lunch break was 20 minutes they drove for 2 hours and 10 minutes before stopping for lunch what time did they leave home?
Answer:
1:15 P.M. - (:45 + :20 + 2:10) =
1:15 P.M. - 2:75 = 13:15 - 3:15 =
10:00 A.M.
Johnny and his family left home at 10:00 A.M.
Which is a solution to (x - 3)(x + 9) = -27?
х=-9 x = -3
х = 0
х = 6
Answer:
x=0
Step-by-step explanation:
x^2+6x-27=-27
x^2+6x=0
x(x+6)
x=0, x=-6
The solution to (x - 3)(x + 9) = -27 is x=6, the correct option is D.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
We are given that;
(x - 3)(x + 9) = -27
Now,
If we plug in x = 6 into the equation,
we get: (6 - 3)(6 + 9) = -27.
Simplifying, we get: (3)(15) = -27.
Multiplying, we get: 45 = -27. This is true, so x = 6 is a solution.
The other values of x do not satisfy the equation.
For example, if we plug in x = -9, we get: (-9 - 3)(-9 + 9) = -27. Simplifying, we get: (-12)(0) = -27.
Multiplying, we get: 0 = -27. This is false, so x = -9 is not a solution
Therefore, by quadratic equations the answer will be x = 6.
Learn more about quadratic equations;
https://brainly.com/question/17177510
#SPJ7
i am a number. i am half of the square root of 100. i am __________
Answer:
i believe it is five
Step-by-step explanation:
Answer:
The answer is 5
Step-by-step explanation:
the square root of 100=10 10/2=5
Can I get brainliest
in a city, 35% of the bus riders with a monthly pass are students. in a random sample of 50 bus riders with monthly passes, 23 are students.
what is ρ and ρ with ^
Answer:
ρ = 35% or 0.35
ρ with ^ = [tex]\frac{23}{50}=0.46[/tex] or equivalently 46%
Step-by-step explanation:
ρ represents the population proportion of the bus riders, with a monthly pass, who are students.
The population proportion is simply the percentage of the entire population with a particular characteristic. We have been informed that in a city, 35% of the bus riders with a monthly pass are students. This means that 35% of the whole population of bus riders with a monthly pass are students. Therefore, our ρ is simply 35% or 0.35.
ρ with ^ represents the sample proportion of the bus riders, with a monthly pass, who are students. This is a statistic or an estimator as it is normally used to estimate the value of ρ, the population proportion. It is calculated using the formula;
ρ with ^ = [tex]\frac{x}{n}[/tex]
where n represents the size of the sample and x the number of individuals in the sample with a certain desired characteristic. We have been informed that;
in a random sample of 50 bus riders with monthly passes, 23 are students.
Using the above formula and the values given we have;
ρ with ^ = [tex]\frac{23}{50}=0.46[/tex] or equivalently 46%
Answer: The correct answer is: ρ=0.35, ρˆ=0.46
Step-by-step explanation:
I hope this helps! :)
Select the two values of x that are roots or this equation x^2-5x+2=0
Answer:
(5/2, +-(square root 17)/ 2)
Step-by-step explanation:
1. find a,b, and c of the quadratic
2. use the quadratic formula to solve
The two values of roots of the equation is 4.56 , 0.44 .
What is an Equation ?An equation is a statement where two algebraic expressions are equated by an equal sign.
The equation given is
x² - 5x +2 = 0
the roots of the equation is given by
[tex]\rm \dfrac{ -b \pm \sqrt { b^2 - 4ac}}{2a}[/tex]
[tex]\rm \dfrac{ 5 \pm \sqrt { 25 - 4 * 1 * 2}}{2 *1}[/tex]
x = [tex]\rm \dfrac{ 5 \pm \sqrt { 17}}{2}[/tex]
Therefore the two values of roots of the equation is 4.56 , 0.44 .
To know more about Equation
https://brainly.com/question/10413253
#SPJ2
I am confused by this question. Can someone help
square root both sides, divide by v both sides, divide by 2 both sides, divide pCd both sides
A bowling team participated in a two-day tournament and records the scores for each team member on both days.The scores for both days are represented by the box plots below
I think it's B hope you got it right
The correct answer is B. The scores on Friday have a greater median and a greater interquartile range than the scores on Saturday.
The box plots represent the bowling scores of a team on Friday and Saturday. Let’s analyze the information from the plots:
Friday Box Plot:
The median (Q2) is higher than the median for Saturday.
The interquartile range (IQR) is larger than the IQR for Saturday.
Saturday Box Plot:
The median (Q2) is lower than the median for Friday.
The interquartile range (IQR) is smaller than the IQR for Friday.
Based on this analysis, we can draw the following conclusion:
B. The scores on Friday have a greater median and a greater interquartile range than the scores on Saturday.
Therefore, the correct answer is B.
Dose anyone know number 7.
Answer: B
Step-by-step explanation: The Answer is B. 30 Sides.
The number of sides of the regular polygon each interior angle measuring 168° is 30. Thus, the correct option is B.
What is a polygon?A polygon is a planar figure characterised by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.
The measure of interior angles of a regular polygon is given by the formula,
[tex]\text{Measure of an interior angle} = \dfrac{(n-2) \times 180^o}{n}[/tex]
where n is the number of sides in the polygon.
Since it is given that measure of an interior angle of the polygon is 168°. Therefore, the number of sides will be,
[tex]168 = \dfrac{(n-2) \times 180^o}{n}[/tex]
168n = 180n - 360
180n - 168n = 360
12n = 360
n = 30
Hence, The number of sides of the regular polygon each interior angle measuring 168° is 30.
Learn more about Polygon:
https://brainly.com/question/10441863
#SPJ2
Help please with workings of possible
Answer:
V = x³ + 10x² cm³
Step-by-step explanation:
The volume (V) of the triangular prism is calculated using the formula
V = area of triangular face × length
Area of triangular face = [tex]\frac{1}{2}[/tex] bh ( b is base and h is height )
here b = 2x and h = x, thus
A = [tex]\frac{1}{2}[/tex] × 2x × x = [tex]\frac{1}{2}[/tex] × 2x² = x²
length = x + 10, hence
V = x²(x + 10) = x³ + 10x²
(2x^3)^2 x 6x^2
(2m^0 x 5m)^2 x 5m^2
Answer:
[tex]\large\boxed{(2x^3)^2\times6x^2=24x^8}[/tex]
Step-by-step explanation:
[tex](2x^3)^2\times6x^2\qquad\text{use}\ (ab)^n=a^nb^n\ \text{and}\ (a^n)^m=a^{nm}\\\\=2^2(x^3)^2\times6x^2=4x^6\times6x^2=(4\times6)(x^6x^2)\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=24x^{6+2}=24x^8[/tex]
6(2x + 3) − 4(5x + 2)
Answer:
-8x+10
Step-by-step explanation:
=(6)(2x)+(6)(3)+(−4)(5x)+(−4)(2)
=12x+18+−20x+−8
Combine Like Terms:
=12x+18+−20x+−8
=(12x+−20x)+(18+−8)
=−8x+10
Answer:
-8x+ + 10
Step-by-step explanation:
Stop deleting my answer scooby Doo, i really need points now
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The line plot shows the weights of pumpkins available at a farm stand. The pumpkins cost $0.30 per pound. A baker purchases all of the pumpkins to make pies. If she uses a $100 bill to pay for the pumpkins, how much change will she receive?
If she uses a $100 bill to pay for the pumpkins, then the amount of change that she receives will be $ 32.5.
What is subtraction?It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.
The line plot shows the weights of pumpkins available at a farm stand. The pumpkins cost $0.30 per pound. A baker purchases all of the pumpkins to make pies.
Then the weight of all the pumpkins will be
→ 6 x 3 + 8 x 5 + 9 + 10 x 7 + 12 x 4 + 13 x 2 + 14
→ 225 pounds
Then the amount of money of 225 pounds will be
→ 225 x 0.3
→ $ 67.5
If she uses a $100 bill to pay for the pumpkins, then the amount of change that she receives will be
→ $ 100 - $67.5
→ $ 32.5
More about the subtraction link is given below.
https://brainly.com/question/4319655
#SPJ2
Solve for x: 3(x+1)=-2(x-1)-4
Answer:
X= -1
You're welcome! Love ya!! <3
Answer:
The correct answer is x = -1
Step-by-step explanation:
It is given an expression with variable x
3(x + 1) = -2(x - 1) - 4
To solve the given expression
3(x + 1) = -2(x - 1) - 4
3x + 3 = -2x + 2 - 4 ( open the bracket)
3x + 2x = 2 - 4 -3
5x = -5
x = -5/5 = -1
Therefore the value of x = -1
The correct answer is x = -1
(-3,-2) and (x,6); m=2
Answer:
x=1
Step-by-step explanation:
We can find the slope given two points by
m = (y2-y1)/(x2-x1)
2 = (6--2)/(x--3)
2 = (6+2)/(x+3)
2 = 8/(x+3)
Multiply each side by x+3
2(x+3) = 8/(x+3) * (x+3)
2(x+3) = 8
Divide each side by 2
2/2 (x+3) = 8/2
x+3 = 4
Subtract 3 from each side
x+3-3=4-3
x =1
John has a ribbon that was 1 1/2 meters long. He used 2 pieces that were each 1/3 of that length. How much ribbon did John use?
Answer:
1 meter.
Step-by-step explanation:
1 1/2 * 1/3
= 3/2 * 1/3
= 3/6
= 1/2.
So John used 2*1/2 = 1 meter of the ribbon.
The volume of a cylinder is 441pi. If the cylinder has a height of 9, what is the radius?
Answer: 7
Step-by-step explanation:
volume of a cylinder = πr²h
441π = π *r²* 9
divide both sides by 9π
49 = r²
r =√49 = 7
Answer:
49
Step-by-step explanation:
On Saturn year equals 29.5 earth years. If you were three years old on Saturn how old would you be on earth
Answer 88.5 I think I don’t know if it’s right
Step-by-step explanation:
Multiply it by 3
If you were three years old on Saturn, which has a year length equivalent to 29.5 Earth years, you'd be 88.5 years old on Earth.
Explanation:The subject of your question is focused on the comparison of time passage on different planets--in this case, how years on Saturn compare to years on Earth. In terms of the Solar system, a year on any planet is determined by how long it takes to orbit the Sun. Given that one Saturn year equals 29.5 Earth years, if you were three years old on Saturn, you'd be 88.5 years old on Earth (Because 29.5 * 3 = 88.5).
This is calculated simply by multiplying the number of Saturn years by the equivalent in Earth years. This concept can be applied to other planets as well, as each has its own specific length of year based on its orbit around the Sun.
Learn more about Time conversion here:https://brainly.com/question/30761848
#SPJ3
If p is a zero of 2x^2 - 5x + 3 then find the value of p.
The answer is zero 2x -3=0 x-1=0
A pet toy manufacturer is designing a plastic ball for dogs that will float in water. In order for the ball to float it must have a density that is less than 1 gram per milliliter (the density of water). The approved design has a mass of 115 grams and a density of 0.600 g/mL. Use the density formula d = m v to determine the radius of the ball to the nearest hundredth of a centimeter. Volume of a sphere = 4 3 π r 3
Answer:
3.576 cm
Step-by-step explanation:
radius of ball, r=?
Given:
Density, p = 0.600g/mL
mass, m= 115g
finding volume, v of ball by using formula p=m/v
v= m/p
= 115/0.600
=191.666 mL^3
=191.666 cm^3
Now using formula v= (4/3)πr^3 to find radius, r of the ball
r^3= 3v/4π
= 3(191.666)/4π
=45.75 cm
r =3.5767 cm !
Solve for x
12=x^2+6x
Answer:
[tex]\large\boxed{x=-3\pm\sqrt{21}}[/tex]
Step-by-step explanation:
[tex]x^2+6x=12\\\\x^2+2(x)(3)=12\qquad\text{add}\ 3^2\ \text{to both sides}\\\\x^2+2(x)(3)+3^2=12+3^2\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(x+3)^2=12+9\\\\(x+3)^2=21\iff x+3\pm\sqrt{21}\qquad\text{subtract 3 from both sides}\\\\x=-3\pm\sqrt{21}[/tex]
given [tex]f(x)= 4x^2 + 6x and g(x) = 2x^2 +13x+15 \\[/tex], find (f/x) (x)
Answer: [tex](f/g)(x)=\frac{2x}{x+5}[/tex]
Step-by-step explanation:
Given the function f(x):
[tex]f(x)=4x^2+6x[/tex]
And the function g(x):
[tex]g(x)=2x^2+13x+15[/tex]
To find [tex](f/g)(x)[/tex] you need to divide the function f(x) by the function g(x).
Therefore, knowing this, you get:
[tex](f/g)(x)=\frac{4x^2+6x}{2x^2+13x+15}[/tex]
You can simplify the numerator by factoring out 2x:
[tex](f/g)(x)=\frac{2x(2x+3)}{2x^2+13x+15}[/tex]
You have to simplify the denominator:
Rewrite the term 13x as a sum of two terms whose product be 30:
[tex](f/g)(x)=\frac{2x(2x+3)}{2x^2+(10+ 3)x+15}[/tex]
Apply Distributive property:
[tex](f/g)(x)=\frac{2x(2x+3)}{2x^2+10x+ 3x+15}[/tex]
Make two groups of two terms:
[tex](f/g)(x)=\frac{2x(2x+3)}{(2x^2+10x)+ (3x+15)}[/tex]
Factor out 2x from the first group and 3 from the second group:
[tex](f/g)(x)=\frac{2x(2x+3)}{(2x(x+5))+ 3(x+5)}[/tex]
Factor out (x+5):
[tex](f/g)(x)=\frac{2x(2x+3)}{(2x+3)(x+5)}[/tex]
Simplifying, you get:
[tex](f/g)(x)=\frac{2x}{x+5}[/tex]
ANSWER
[tex]( \frac{f}{g} )(x) = \frac{2x }{x + 5}[/tex]
where
[tex]x \ne - \frac{3}{2} \: or \: x = - 5[/tex]
EXPLANATION
The given functions are:
[tex]f(x) = 4 {x}^{2} + 6x[/tex]
and
[tex]g(x) =2 {x}^{2} + 13x + 15[/tex]
We want to find ,
[tex]( \frac{f}{g} )(x) = \frac{f(x)}{g(x)} [/tex]
[tex]( \frac{f}{g} )(x) = \frac{4 {x}^{2} + 6x }{2 {x}^{2} + 13x + 15} [/tex]
[tex]( \frac{f}{g} )(x) = \frac{2x(2x + 3) }{2{x}^{2} + 10x +3x + 15} [/tex]
[tex]( \frac{f}{g} )(x) = \frac{2x(2x + 3) }{2{x}(x + 5) +3(x + 5)} [/tex]
[tex]( \frac{f}{g} )(x) = \frac{2x(2x + 3) }{(2x + 3)(x + 5)} [/tex]
We cancel out the common factors to get:
[tex]( \frac{f}{g} )(x) = \frac{2x }{x + 5} [/tex]
where
[tex]x \ne - \frac{3}{2} \: or \: x = - 5[/tex]