You are having a get-together and are expecting 30 guests. You plan on serving Chocolate Chip Cookies. Use your knowledge of fractions to re-write the recipe for Chocolate Chip Cookies. The recipe card states that it makes 60 cookies. What will need to be done in order to make 30 cookies?
Show your work neatly. List all steps taken as you recalculate each ingredient and then re-write the recipe card.
Discuss what you learned about fractions from this activity.
Did you find some measurements easier to convert than others? Why do you think this is so?
Answer:
Chocolate Chip Cookies:
2
1
/
2
cups flour
3
/
4
cup sugar
1
tsp. baking soda
1
tsp. vanilla
3
/
4
teaspoon salt
2
eggs
1
cup butter
3
/
4
pound Chocolate Chips
Fractions:
A fraction is a numerical quantity that represents a part of a whole. A fraction can be recognized by a horizontal line that is there between the two numbers. The number above the horizontal line is called the numerator and the number below the horizontal line is called the denominator.
A fraction that is less than 1 is called a Proper Fraction.
Example- A fraction that is greater than or equal to 1 is called an Improper Fraction.
Example- A whole number and a fraction combined into one is called a MIxed Fraction.
Example- To Convert Mixed Fraction into an improper fraction, multiply the denominator with the integer and add this product to the numerator.
Example-
5
3
4
=
(
4
×
5
)
+
3
4
=
23
4
Answer and Explanation:
find the GCF of 36 and 54
Answer:
Step-by-step explanation:
The greatest common factor of 36 and 54 is 18. 18×2=36 and 18×3=54.
Explain how you can use fraction strips or number lines to show that three fourths and six eighths are equivalent. plsssssss
The solution is given below.
What is number line?A number line is a pictorial representation of numbers on a straight line. In elementary mathematics, a number line is a picture of a graduated straight line that serves as visual representation of the real numbers. Every point of a number line is assumed to correspond to a real number, and every real number to a point.
here, we have,
Refer to the fraction strip to show 3/4 & 6/8 are same.
Also if you reduce 6/8 by dividing 2 to numerator & denominator…
it’s 3/4.
The solution is attached below.
To learn more on number line click:
brainly.com/question/29162579
#SPJ2
Mrs. Smith bought 6.2 kg of cassava and 1 kg 250 g of bananas. What is the total weight in kg?
Step-by-step explanation:
my answer is in the image above
What is the slope of the line that passes through the points (10, 5) and (15,20)? Write your answer in simplest form.
Answer:
3
Step-by-step explanation:
(10, 5) and (15,20)
m = rise/run
m = ∆y/∆x
m = (y₂ - y₁) / (x₂ - x₁)
m = (20 - 5) /(15 - 10)
m = 15/5
m = 3
need answer with step by step
Answer:
y = 6/5x -7
Step-by-step explanation:
What is the volume in cubic centimeters of the figure below?
Answer:
so that you will multiply 15 * 4.
Step-by-step explanation:
15*4 = 60 now you divide 60 by 4 and the answer will be 15.
Multiply the following complex numbers (7 + 2i)(2+3i) O A. 20-25i B. 8-25i O C. 8+ 25i O D. 20-25i
Đáp án là C: 8+25i nhé
8+ 25i
Answer:
C. 8+25i
Just took it, it's correct :)
Help! 3-4 quick please!!
Consider this as a simultaneous-move (static) game:
Player B
Left Right
Top 2, 2 3, 2
Player A
Bottom 1, 3 1, 4
1a) Write down the Best Response Correspondence for each of the two players.
1b) Does any player have a dominant strategy in this game? Explain.
1c) Find all Nash Equilibria in pure strategies of this game.
1d) Is there any Nash Equilibria in mixed strategies?
Answer:
Follows are the solution to the given points:
Step-by-step explanation:
For point a:
When Player A selects Top, Player B selects Left or Right.
Player B selects Right when player A selects Bottom
Thus, player B's best statement is correct.
When player B selects the left, then game A selects the top
When player B selects the right, player A selects the top
Hence, Player A's right response is Top.
For point b:
The main strategy inside the game is Player A, which would be Top. Since he won't choose Below except under situations since the payment to Bottom is below his payoff for Top irrespective of player B.
For point c:
Player A will purely pick Top & Player B right and player A also will pick Top and player B is right. Game A will's pattern. In this case, neither player has the motive to move away. There are two Nash balances since player B is paid the same amount, irrespective of what he's playing any strategy, as player A is always at the top.
For point d:
Consider if player B plays left with "q" probability and right with "1-q" probability. We're done
[tex]2q + 2(1-q) = 3q+4(1-q) \\\\2(1-q) - 4(1-q) = 3q - 2q \\\\-2(1 - q) = q \\\\-2 + 2q = q \\\\2q-q= 2 \\\\q= 2\\[/tex]
It is not possible since q is a chance that really can exceed 1. Hence, for this game, there is no mixed strategy nash balancing.
Can someone please help me?
Answer:
use the Desmos graphing calculator. Type the first one in. Then type your answer choices in. See which lines are the same.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Just simplify
The exponential regression equation y=307.60(1.11)^x models the dollar value of a retirement fund after x years. Which is best estimate for the value of the retirement fund after 6 years, if no additional deposits or withdrawals are made. ?
A. $310
B. $580
C. $1,880
D. $2,050
Answer:
B. $580
Step-by-step explanation:
Value of the retirement fund after x years:
The value of the retirement fund after x years is given by the following function:
[tex]y(x) = 307.6(1.11)^x[/tex]
Which is best estimate for the value of the retirement fund after 6 years, if no additional deposits or withdrawals are made?
This is y(6). So
[tex]y(6) = 307.6(1.11)^6 = 575.34[/tex]
Close to $580, and thus, the correct answer is given by option B.
Answer:
B. $580 is best estimate for the value of the retirement fund after 6 years, if no additional deposits or withdrawals are made.
Thus it is little close to answer because actual answer is $575.34.
The sum of the first 8 terms of a geometric sequence with 4 as the first term and a common ratio of 3 is
9514 1404 393
Answer:
13120
Step-by-step explanation:
The sum of terms of a geometric series is ...
Sn = a1·(r^n -1)/(r -1)
You have n=8, a1=4, r=3, so the sum is ...
S8 = 4·(3^8 -1)/(3 -1) = 2(3^8 -1) = 13,120
Answer:
13 120Step-by-step explanation:
hope it helps u too
Please help me with solving these. Thank you very much. Have a great day!
Answer:
Problem 20)
[tex]\displaystyle \frac{dy}{dx}=(\cos x)^x\left(\ln \cos x-x\tan x\right)[/tex]
Problem 21)
A)
The velocity function is:
[tex]\displaystyle v(t) =2\pi(\cos(2\pi t)-\sin(\pi t))[/tex]
The acceleration function is:
[tex]\displaystyle a(t)=-2\pi^2(2\sin(2\pi t)+\cos(\pi t))[/tex]
B)
[tex]s(0)=2\text{, }v(0) = 2\pi \text{ m/s}\text{, and } a(0) = -2\pi^2\text{ m/s$^2$}[/tex]
Step-by-step explanation:
Problem 20)
We want to differentiate the equation:
[tex]\displaystyle y=\left(\cos x\right)^x[/tex]
We can take the natural log of both sides. This yields:
[tex]\displaystyle \ln y = \ln((\cos x)^x)[/tex]
Since ln(aᵇ) = bln(a):
[tex]\displaystyle \ln y =x\ln \cos x[/tex]
Take the derivative of both sides with respect to x:
[tex]\displaystyle \frac{d}{dx}\left[\ln y \right]=\frac{d}{dx}\left[x \ln \cos x\right][/tex]
Implicitly differentiate the left and use the product rule on the right. Therefore:
[tex]\displaystyle \frac{1}{y}\frac{dy}{dx}=\ln \cos x+x\left(\frac{1}{\cos x}\cdot -\sin(x)\right)[/tex]
Simplify:
[tex]\displaystyle \frac{1}{y}\frac{dy}{dx}=\ln \cos x-\frac{x\sin x}{\cos x}[/tex]
Simplify and multiply both sides by y:
[tex]\displaystyle \frac{dy}{dx}=y\left(\ln \cos x-x \tan x\right)[/tex]
Since y = (cos x)ˣ:
[tex]\displaystyle \frac{dy}{dx}=(\cos x)^x\left(\ln \cos x-x\tan x\right)[/tex]
Problem 21)
We are given the position function of a particle:
[tex]\displaystyle s(t)= \sin (2\pi t)+2\cos(\pi t)[/tex]
A)
Recall that the velocity function is the derivative of the position function. Hence:
[tex]\displaystyle v(t)=s'(t)=\frac{d}{dt}[\sin(2\pi t)+2\cos(\pi t)][/tex]
Differentiate:
[tex]\displaystyle \begin{aligned} v(t) &= 2\pi \cos(2\pi t)-2\pi \sin(\pi t)\\&=2\pi(\cos(2\pi t)-\sin(\pi t))\end{aligned}[/tex]
The acceleration function is the derivative of the velocity function. Hence:
[tex]\displaystyle a(t)=v'(t)=\frac{d}{dt}[2\pi(\cos(2\pi t)-\sin(\pi t))][/tex]
Differentiate:
[tex]\displaystyle \begin{aligned} a(t)&=2\pi[-2\pi\sin(2\pi t)-\pi\cos(\pi t)]\\&=-2\pi^2(2\sin(2\pi t)+\cos(\pi t))\end{aligned}[/tex]
B)
The position at t = 0 will be:
[tex]\displaystyle \begin{aligned} s(0)&=\sin(2\pi(0))+2\cos(\pi(0))\\&=\sin(0)+2\cos(0)\\&=(1)+2(1)\\&=2\end{aligned}[/tex]
The velocity at t = 0 will be:
[tex]\displaystyle \begin{aligned} v(0)&=2\pi(\cos(2\pi (0)-\sin(\pi(0))\\&=2\pi(\cos(0)-\sin(0))\\&=2\pi((1)-(0))\\&=2\pi \text{ m/s}\end{aligned}[/tex]
And the acceleration at t = 0 will be:
[tex]\displaystyle \begin{aligned} a(0) &= -2\pi ^2(2\sin(2\pi(0))+\cos(\pi(0)) \\ & = -2\pi ^2(2\sin(0)+\cos(0)) \\ &= -2\pi ^2(2(0)+(1)) \\ &= -2\pi^2(1) \\ &= -2\pi^2\text{ m/s$^2$} \end{aligned}[/tex]
At a movie rental machine the movies rent for $3.00 except on Tuesdays when they rent for $0.49 Appoximately what percent of the regular cost is saved by renting a movie on a Tueday
Answer:
16%
Step-by-step explanation:
To find what percent of the regular cost is saved by renting a movie on a Tuesday, we must do 0.49/3.00. This helps us find the decimal point to convert into a percentage. 0.49/3.00 is equal to 0.163333333333 . And 0.163333333333 converted into a percentage is approximately 16%.
Hope this helps and if it does, don't be afraid to rate my answer as well as maybe give it a "Thanks"? (Or even better a "Brainliest")
A searchlight is shaped like a parabola. If the light source is located 3 feet from the base along the axis of symmetry and the depth of the searchlight is 4 feet, what should the width of the opening of the searchlight be?
9514 1404 393
Answer:
8√3 ≈ 13.86 ft
Step-by-step explanation:
The light source is usually placed at the focus, so the focus-vertex distance is p=3 ft. The equation for the parabola with its vertex at the origin is ...
y = 1/(4p)x^2
y = 1/12x^2
The opening for some y-value extends ±x from the axis of symmetry, so is a total of 2x in width.
For y=4, the corresponding value of x is ...
4 = 1/12x^2
48 = x^2
√48 = x = 4√3
Then the width of the searchlight opening is ...
2(4√3 ft) = 8√3 ft ≈ 13.86 ft
Do you have any practice questions for grade 1 and 8 of math
Answer:
dear please focus on other subjects not only on math
What is the equation of the line? Plsss helppp
Answer:
y = -7
Step-by-step explanation:
Slope: 0
y-intercept: (0,−7)
Since the line doesn't change up, down, right, or left, and it stays on the y-axis, that's how u get y = . The straight line runs along -7 . That's how u get -7 . so when u put it all together u get: y = -7 .
Hope that helps. Tried to explain the best I could :)
3+5 plz help will gibe brain
Answer:
8
Step-by-step explanation:
In the questions below suppose the variable x represents students and represents courses, and:
•M(y): y is a math course F(x): x is a freshman
•B(x): x is a full-time student T(x,y): x is taking
•Write the statement in good English without using variables in your answers.
Answer:
Here the answer is given as follows,
Step-by-step explanation:
The last three parts are coming with a question mark, so can't answer those parts. post the image or write it properly
a) Every student is taking at least one course.
[tex]\forall x \exists y T(x,y)[/tex]
So for all x, there is a y such that T(x,y) is a true will be given by the above statement
b) There is a part-time student who is not taking any math courses.
[tex]\exists x \forall y [A(x) \Lambda (M(y) \rightarrow ~T(x,y))][/tex]
please help meeeeeeeee
pt 3
Answer:
1st option
Step-by-step explanation:
Given the zero product
(x - 3)(x + 5) = 0 , then
x - 3 = 0 ; x + 5 = 0
Chase thought only 23 people would come to banquet but 48 showed up. What is percent error?
2n-3>15, select all values of n would make this inequality true, options are 2, 5, 9, 10, 12
9514 1404 393
Answer:
{10, 12}
Step-by-step explanation:
The inequality can be simplified to ...
2n -3 > 15 . . . . given
2n > 18 . . . . . . add 3
n > 9 . . . . . . . . divide by 2
Only two listed numbers are greater than 9:
10, 12
Layla is cutting bows out of ribbon which will be used to wrap gifts. If Layla needs 21/22of a foot of ribbon to make a bow, and she has 21 feet of ribbon, then how many bows can Layla make?
Answer:
21 bows
Step-by-step explanation:
Since 21/22 is just 1 short of a whole 1, we can first round it up to a whole 1, and subtract it later. 21 divided by 1 is just 21, and now is the time to subtract the part in which we rounded out. 1/22 times 21 is 21/22, so Layla can't make an entire bow with it.
20. The H.M. between 2 and 8 is
(1 marks )
Answer as an improper fraction = 16/5
Answer as a mixed number = 3 & 1/5
Answer in decimal form = 3.2
All of those values represent the same thing, but written in a different way.
=============================================================
Explanation:
I'm assuming HM stands for Harmonic Mean in this case.
If so, then we apply the reciprocal operation to each value to get 1/2 and 1/8 (from 2 and 8 respectively).
Add up those fractions:
1/2 + 1/8 = 4/8 + 1/8 = 5/8
Now we'll divide n = 2 over that result. The n = 2 refers to the number of items in the original set.
n divide over (5/8) = 2*(8/5) = 16/5 which is the answer as an improper fraction
-----------
To convert to a mixed number, we can do the following:
16/5 = (15+1)/5
16/5 = 15/5 + 1/5
16/5 = 3 + 1/5
16/5 = 3 & 1/5
Or if you need the answer in decimal form, then using a calculator would get you 16/5 = 3.2
A study attempts to examine whether watching a lot of television or playing a lot of video games will have a detrimental effect on a child's academic success at school and/or their success at sports. he experiment is conducted on the basis that the age of the child will be important in determining this effect but the gender of the child will not. Select all the elements that are FACTORS of this experiment:
a. age of the child
b. gender of the child
c. time spend reading books over a year
d. time spent playing video games over a year
e. success at sports
f. academic success at school
g. time spent watching television over a year
Answer : A,D,G
Step-by-step explanation:
A factor of experiment is the controlled independent variable.
The factor of experiments are,
d) Time spent playing video games over a yeare) Success at sportsf) Academic success at schoolg) Time spent watching television over a yearHence option d,e,f and g is the factor of experiment.
What is the factor of experiment means?A factor of experiment is the controlled independent variable.
Given information
The experiment is conducted on the basis of age.
The experiment is not conducted on the basis of gender.
In the experiment the relation between watching TV a lot or playing video game and child's academic success at school and/or their success at sports tried to obtained.
Factors of this experiment-
a) Age of the child- As in the statement it is cleared, that the age of the child is a base of the experiment but the age can not be a controlled independent variable. Thus the age of the child is the not a factor of this experiment.b) Gender of the child-As for the study for the given problem, the gender is not important. Thus the gender of the child in not a factor of this experiment.c) Time spend reading books over a year-The study is to determine the relation between watching TV a lot or playing video game and child's academic success and not about reading books. Thus the time spend reading books over a year is not a factor of this experiment.d) Time spent playing video games over a year- The study is to determine the relation between playing video game and child's academic success or success in sports. Thus, time spent playing video games over a year is a factor of this experiment.e) Success at sports-As the success at the sports is the part of the study. Thus, success at sports is a factor of this experiment.f) Academic success at school- As the academic success at the school is the part of the study. Thus, academic success at school is a factor of this experiment.g)Time spent watching television over a year-The study is to determine the relation between a lot of television watching and child's academic success or success in sports. Thus, time spent watching television over a years a factor of this experiment.Thus the factor of experiments are,
d) Time spent playing video games over a yeare) Success at sportsf) Academic success at schoolg) Time spent watching television over a yearHence option d,e,f and g is the factor of experiment.
Learn more about the factor of experiments here;
https://brainly.com/question/840290
Will mark brainlest!!!
Step-by-step explanation:
We have,
[tex]g(x)=x^3+x^2-x-2[/tex]
To find g(-1), put -1 in place of x i.e.
[tex]g(-1)=(-1)^3+(-1)^2-(-1)-2\\\\=-1[/tex]
To find g(1), put 1 in place of x i.e.
[tex]g(1)=1^3+1^2-1-2\\\\=-1[/tex]
To find g(2), put 2 in place of x i.e.
[tex]g(2)=2^3+2^2-2-2\\\\=8[/tex]
g(2) + g(1) = 8+(-1)
= 7
Hence, this is the required solution.
Answer:7
Step-by-step explanation: mark brainliest pls lol
30 points ~ Thirty-eight kids are riding the bus. Half of the kids are girls. How many boys are on the bus?
Answer:
19 boys
Step-by-step explanation:
38 kids on the bus
1/2 are girls, that means 1/2 are boys
1/2 * 38 = 19
There are 19 girls and 19 boys
What is the difference between 5d and d ⁵ ?
What single transformation maps AABConto AABC?
Answer:B
Step-by-step explanation: There is a mathematical way to do this , but the simplest way is just to imagine all of the transformations and choose the most reasonable one. All of the other answers are ridiculous.