Answer:
4
Step-by-step explanation:
The proportional equation that represents the situation is k=2/3.
Given that, Jacqui needs 8 cups of sugar to make 12 batches of cookies.
We need to find what is the proportional equation that represents the situation.
What is the proportional equation?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. The proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Based on the type of relationship two or more quantities share, the proportion can be classified into different types. There are two types of proportions.
Direct ProportionInverse ProportionThe number of cups of sugar used to make batches of cookies is a direct proportion.
8∝12
⇒8=12k
⇒k=8/12
⇒k=2/3
Therefore, the proportional equation that represents the situation is k=2/3.
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-1 1/3 plus 3/4 (fraction form)
Answer:
[tex]\boxed{-\frac{7}{12} }[/tex]
Step-by-step explanation:
[tex]-1\frac{1}{3} +\frac{3}{4}[/tex]
→ Make both denominators the same
[tex]-1\frac{1}{3} +\frac{3}{4}=-1\frac{4}{12} +\frac{9}{12}[/tex]
→ Convert mixed number into improper fraction
[tex]-1\frac{1}{3} +\frac{3}{4}=-1\frac{4}{12} +\frac{9}{12}=-\frac{16}{12} +\frac{9}{12}[/tex]
→ Do the -16 + 9 and leave 12 as the denominator
[tex]-1\frac{1}{3} +\frac{3}{4}=-1\frac{4}{12} +\frac{9}{12}=-\frac{16}{12} +\frac{9}{12}=-\frac{7}{12}[/tex]
The required simplification o f[tex]-1\frac{1}{3} +\frac{3}{4}[/tex] into fraction form is -1 / 12
To simplify -1 1 / 3 plus 3 / 4 into fraction form.
The process in mathematics to operate and interpret the function to make the function simple or more understandable called simplifying and the process is called simplification.
What is the fraction?Fraction is defined as the number of compositions constituting the Whole. And it is represented as a / b, where a = numerator and b = denominator.
Since the given problem is
[tex]-1\frac{1}{3} +\frac{3}{4}[/tex]
We need to simplified it into fraction form like a / b.
[tex]=-1\frac{1}{3}+\frac{3}{4} \\= -2/3 + 3/4[/tex]
= ( -8 + 9 ) / 12
= -1 / 12
Thus, The required simplification of [tex]-1\frac{1}{3} +\frac{3}{4}[/tex] into fraction form is -1 / 12.
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a climber starts descending from 504 feet above sea level and keeps going until she gets to 40 feet below sea level, how may feet did she descend?
Answer:
544 feet.
Step-by-step explanation:
|504| +|-40|=544
Lisa’s school requires each student to earn 75 hours of community service each year. Lisa has already earned 27 hours. She plans to earn the remainder of her hours by volunteering at a nursing home. If Lisa spends 2 hours at the nursing home per visit, which equation represents the number of visits, v, that Lisa will need to make to fulfill her community service requirement?
Answer:
Step-by-step explanation:
2v+27=75
2v=75 - 27
2v=48
v= 24 visits
So, she needs 24 visits
Help me out please? Thankss
Answer:
159.2
Step-by-step explanation:
(20 points)
A car enthusiast learns that a particular model of car, which costs $42,000 new, loses 25% of
its value every year. How much will the car be worth in 2 years?
If necessary, round your answer to the nearest cent.
Answer:
23 625
Step-by-step explanation:
[tex]42000 - 25\% = 31500 \\ 31500 - 25\% = 23625[/tex]
Answer:
The value of the car in 2 years will be 21,000 I believe.
Step-by-step explanation:
The car originally costs 42,000 dollars. Every year the car loses 25% of it's original value.
The first thing to do is multiply .25 by 42,000. This should give you 10,500.
(42,000)(.25) = 10,500
Next is to multiply 10,500 by 2 to cover the second year. Your answer should be 21,000.
(10,500)(2) = 21,000
Now subtract that from the original value. And you should get 21,000.
42,000 - 21,000 = 21,000
Best of Luck!
If this is not the answer then it is, $23,625.
a(n)=−5+6(n−1)
I need to know what the 12th term in the sequence is.
Answer:
61
Step-by-step explanation:
The formula of the sequence given is;
aₙ = -5 + 6(n-1)
problem is to find the 12th term;
a₁₂ = -5 + 6 (12 - 1)
a₁₂ = -5 + 6(11)
a₁₂ = -5 + 66
a₁₂ = 61
Math!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!3
Answer:
may you please mark me as brainliest? I will mark you it if you answer on mine
Step-by-step explanation:
Jody works at the finish line and gets $36 each day he works plus $1.50 for each pair of shoes he sells. Write a function to represent the total (y) he will make in one day in relation to the number of shoes he sells.
Answer: y=36+1.50x
Step-by-step explanation:
Given: Daily wages = $36
Commission per pair of shoes he sells = $1.50
Let y= Total he will make in one day by selling x shoes .
Total earnings per day = Daily wages + Commission (Number of shoes)
y=36+1.50x
Hence, a function to represent the total (y) he will make in one day in relation to the number of shoes he sells: y=36+1.50x
-1/6 times (-9/7) and if you answer correctly i’ll mark your answer brainly and 60 points
Answer:
3/14
Step-by-step explanation:
(−1/6)(−9/7)
= (−1)(−9)
(6)(7)
=9/42
Answer:
3/14
Step-by-step explanation:
Or 14/3
What is y-4=2(x+3) in standard form
Answer:
2x - y = -10
Step-by-step explanation:
Standard form: x + y = n
y - 4 = 2x + 6
y = 2x + 6 + 4
y = 2x + 10
2x - y = -10
The formula s=12at ^2 is used to calculate the distance s travelled by a bike when a=3 and t=10, each correct to the nearest integer, calculate the lower bound of the distance s
Answer:
Step-by-step explanation:
Given the formula for calculating the distance travelled expressed as;
s=1/2at^2
Given
a = 3
t = 10
Required
lower bound of s
Substitute the given values into the equation;
s=1/2at^2
S = 1/2(3)(10)^2
S = 1/2 * 3 * 100
S = 3 * 50
S = 150
Hence the lower bound of distance S is 150
The CEO of a company wants to determine whether taking the employees to a company retreat would boost their morale. He decides to survey a simple random sample of 50 of the 250 employees. Which of the following options would guarantee a simple random sample? asking the first 50 employees who come to work on Monday morning to take the survey telling the managers in each of the 5 departments to randomly select 10 people to take the survey giving each employee a unique number from 1 to 250 and randomly selecting 50 people to take the survey sending an email to all 250 employees asking them to complete the survey within the next couple of days
Answer:
b
Step-by-step explanation:
Among all the given options, the one that would guarantee a simple random sample is: “telling the managers in each of the 5 departments to randomly select 10 people to take the survey.” Hence, Option B is correct.
What is a random sample?An unprejudiced portion of a population is chosen in a simple random sampling. With this sampling technique, the possibility of selection bias is reduced because every person of the population has an exact equal probability of being chosen.
A simple random sample is a group of people chosen at random, all with the same probability, from a larger group of people in statistics. It involves a method of randomly choosing a sample.
Random sampling assures that the results of sample should be close to those that would have been found if the complete population had been measured. With the simplest random sample, each unit in the population has an equal probability of being chosen.
Therefore, Option B is correct.
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Payton is in charge of the water jugs for the football team. She has 410 ounces of water that she will use to fill plastic cups for the players. If each cup holds 10.25 ounces of water, how many cups can she fill if all are filled completely?
Answer:
40
Step-by-step explanation:
410 divided by 10.25 = 40
Oliver estimates the weight of of his cat to be 16 pounds. The actual weight of the cat is 14.25 pounds. What is the percent error of Oliver's estimate rounded to the nearest tenth of a percent.
Given:
Estimated weight of a cat = 16 pounds
Actual weight of that cat = 14.25 pounds
To find:
The percent error to the nearest tenth of a percent.
Solution:
We know that,
[tex]\text{Percent error}=\dfrac{\text{Estimated value - Actual value}}{\text{Actual value}}\times 100[/tex]
Using the above formula, we get
[tex]\text{Percent error}=\dfrac{16-14.25}{14.25}\times 100[/tex]
[tex]\text{Percent error}=\dfrac{1.75}{14.25}\times 100[/tex]
[tex]\text{Percent error}=0.122807\times 100[/tex]
[tex]\text{Percent error}=12.2807[/tex]
Round the percent error to the nearest tenth of a percent.
[tex]\text{Percent error}\approx 12.3[/tex]
Therefore, the percent error is 12.3%.
Answer:22
Step-by-step explanation:
96 is the product of 6 and Raj's height.
Answer:
Raj's height is 16.
Step-by-step explanation:
The answer is 16 because if you multiply 6 with 16 you would get 96. Thanks and if you could mark me as brainliest.
how do i write 4 3/16 as a decimal and how do I write -3 4/9?
please help find the solution !
(5 − x) 5 = (2x − 1)5
Answer:
the answer should be, x = 2
need help on this!!! :)
Answer: -3,1
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
The slope would be 2/3 because you go up two and over three. Rise/run.
PLEASE HELP ASAP!!! i’ll mark brainlest!!!!
Answer:
A C and E
Step-by-step explanation:
Which expression shows the result of applying the distributive property to 3(2x-6)?
A) 6x-6
B) 2x-18
C) 6x-18
D) 5x-3
Answer:C 6x-18
Step-by-step explanation:
3 times 2 equals 6 and 3 times -6 will give you -18
Answer:
The solution is C) 6x-18
Step-by-step explanation:
3(2x-6)
(we multiply between 3 and in brackets)
3×2x = 6x
3×(-6) = -18
if we combine, then the arrangement is like this:
6x-18
Need answer ASAP! Question in picture
Answer:
b
Step-by-step explanation:
hope this helps
thanks for all of you guys' help!!! this is the fourth one nowww
Answer: The answer should be C. y = 5.5x. Good luck! :)
Answer:
C
Step-by-step explanation:
Michael wants tto start a garmets business. He borrowed 50000 for 5 years at 14% from his friend. The intrest is compoudee semi-annually from his friend. What is the total amount he will have to pay back to his friend?Round to the nearest cent
Answer:
98,357.57
Step-by-step explanation:
The formula to find the total amount obtained using compound interest is given as:
A = P(1 + r/n)^nt
Where:
A = Amount returned or payed back.
P = Amount borrowed = 50,000
R = Interest rate = 14% = 0.14
T = Time = 5 years
n = number of time compounded = semi annually = 2
Hence,
A = 50,000(1 + 0.14/2)^2 ×5
A = 50,000(1 +0.07)^10
A = 98,357.57
The amount he is paying back to his friend is 98,357.57.
Suppose there is a 1.9f drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 51.8f what will be the temperature when the plane reaches an altitude of 3,000ft??
Answer: 46.1f
Step-by-step explanation:
Simce there is a 1.9f drop in temperature for every thousand feet that an airplane climbs into the sky, when the airplane reaches an altitude of 3,000ft, the drop in temperature will be:
= 1.9f × 3
= 5.7f
Since the temperature on the ground is 51.8f, then the temperature will then be:
= 51.8f - 5.7f
= 46.1f
Juan jogs each day from his house to a local park, and then he jogs back along the same route. On his way to the park, he averages 4 miles per hour. On his way home, he averages 6 miles per hour. If the total trip takes 1 and one-half hours, which equation can be used to find x, the distance in miles from Juan’s house to the park? Distance (mi) Rate (mi/hr) Time (hr) Trip to Park x 4 mph Trip to Home x 6 mph StartFraction x Over 4 EndFraction + StartFraction x Over 6 EndFraction = 1 StartFraction x Over 4 EndFraction + StartFraction x Over 6 EndFraction = 1 and one-half 4 x + 6 x = 1 and one-half 4 x + 6 x = 1
Answer:
The distance traveled equals the speed v multiplied by the time t
:
Since the speed varies, and we only know the total time, we must rewrite this as:
If we separate this in the two 'directions', it should add up to one and a half:
That would lead me to answer b
Step-by-step explanation:
have a nice day :)
Answer:
B. x/4+x/6=1,1/2
The prices for different prices at a grocery store are shown in the table below which of the following spices has the least price per pound
Write and expression to find the perimeter of the rectangle. (5 points)
Problem 1
Simplify the expression by combining like terms. (5 points)
HTML EditorKeyboard Shortcuts
12pt
Answer:
im confused
Step-by-step explanation:
im confused whats your question tho
Factorise (2-50x²) = ?
Answer: −50x2+2
Step-by-step explanation:
brainliest plzzz
Lara charges $12 per hour for babysitting. If f represents Lara's total fee after babysitting for h hours, which equations can be used to model the situation?
Answer: f= 12h , where f = Lara's total fee after babysitting for h hours.
Step-by-step explanation:
Given: Lara charges $12 per hour for babysitting.
Charge per hour = $12
Let h= Number of hours
Total charge = (Charge per hour) x (Number of hours)
If f = Lara's total fee after babysitting for h hours.
then, f= 12h
Hence, the required equation to model the situation : f= 12h
What are the zeros of the function?
f(x)=x^3−2x^2−3x
A. 3, 0, and 2
B. 2, 0, and 3
C. 1, 0, and 3
D. 3, 0, and 1
Answer:
C
−1, 0, and 3
Step-by-step explanation:
f(x) factors as
f(x)=x(x+1)(x-3)
so has zeros of x = -1, 0, 3 because these values make the factors be zero.
Can I have brainliest please.