Answer:
4 serving cups
Step-by-step explanation:
Given
[tex]Serving\ cup = \frac{1}{6}[/tex]
[tex]Rice\ cup = \frac{2}{3}[/tex]
Required
The number of serving cup (n)
This is calculated by dividing the rice cup by the serving cup
[tex]n = \frac{Rice\ cup}{Serving\ cup}[/tex]
[tex]n = \frac{2/3}{1/6}[/tex]
Rewrite as:
[tex]n = \frac{2}{3} \div \frac{1}{6}[/tex]
Change to multiplication
[tex]n = \frac{2}{3} * \frac{6}{1}[/tex]
[tex]n = \frac{12}{3}[/tex]
[tex]n=4[/tex]
A force of 50 pounds acts on an object at an angle of 45 degrees. A second force of 75 pounds acts on the object at an angle of -30 degrees. Find the direction and magnitude of the resultant force.
Answer:
The magnitude of the resultant force is:
[tex]R=100.3 \:pound[/tex]
The direction is:
[tex]\theta=1.2^{\circ}[/tex]
Step-by-step explanation:
Let's find the components of each vector is x and y-directions first.
Sum of x-component vector forces.
[tex]F_{tot-x}=F_{1}cos(45)+F_{2}cos(30)[/tex]
[tex]F_{tot-x}=50cos(45)+75cos(30)[/tex]
[tex]F_{tot-x}=100.3 \: pound[/tex]
Sum of y-component vector forces.
[tex]F_{tot-y}=-F_{1}sin(45)+F_{2}sin(30)[/tex]
[tex]F_{tot-y}=-50sin(45)+75sin(30)[/tex]
[tex]F_{tot-y}=2.1 \: pound[/tex]
The magnitude of the resultant force is:
[tex]R=\sqrt{100.3^{2}+2.1^{2}}[/tex]
[tex]R=100.3 \:pound[/tex]
The direction is:
[tex]tan(\theta)=\frac{2.1}{100.3}[/tex]
[tex]\theta=arctan(\frac{2.1}{100.3})[/tex]
[tex]\theta=1.2^{\circ}[/tex]
I hope it helps you!
A grocery store manager notices that this month her store sold a total of 521 gallons of ice cream, which represents a decrease of 10% from last month. On the other hand, her store sold 791 pounds of broccoli this month, which represents an increase of 25% from last month. How much ice cream and broccoli did the store sell last month? Round your answers to the nearest integer.
Answer:
Last month the grocery store sold 578.88 gallons of ice cream and 632.8 pounds of broccoli.
Step-by-step explanation:
Since a grocery store manager notices that this month her store sold a total of 521 gallons of ice cream, which represents a decrease of 10% from last month, and on the other hand, her store sold 791 pounds of broccoli this month, which It represents an increase of 25% from last month, to determine how much ice cream and broccoli did the store sell last month, the following calculation must be performed:
Ice cream = 100 - 10 = 90
90 = 521
100 = X
100 x 521/90 = X
52,100 / 90 = X
578.88 = X
Broccoli = 100 + 25 = 125
125 = 791
100 = X
100 x 791/125 = X
79,100 / 125 = X
632.8 = X
Therefore, last month the grocery store sold 578.88 gallons of ice cream and 632.8 pounds of broccoli.
A coin-operated machine sells plastic rings. It contains 11 orange rings, 15 green rings, 0 pink rings, and 5 yellow rings. Patricia puts a coin into the machine. Find the theoretical probability she gets a yellow ring. Express your answer as a decimal. If necessary, round your answer to the nearest thousandth
Answer:
16.129
Step-by-step explanation:
11+15+5=31
5÷31=0.16129
0.16129x100
=16.129
ILL MARK BRAINLIEST Provide an appropriate response.
Identify the sample space of the probability experiment: answering a true or false question
Answer:
D) 5
Step-by-step explanation:
Answer:
The sample space of answering a true or false question is "sample set = true, false"
Step-by-step explanation:
Sample Space is defined as the set of all possible outcomes in a given probability experiment. For example, the sample space of tossing one coin is head, tail.
Source: study.com/academy/answer/identify-the-sample-space-of-the-probability-experiment-answering-a-true-or-false-question.html
evaluate the following trigonometric expression
Answer:
-60
hope it helps
PREVIOUS ANSWERS MY NOTES Calls to a customer service center last on average 2.8 minutes with a standard deviation of 1.4 minutes. An operator in the call center is required to answer 75 calls each day. Assume the call times are independent. What is the expected total amount of time in minutes the operator will spend on the calls each day
Answer:
The expected total amount of time in minutes the operator will spend on the calls each day is of 210 minutes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
n-values of a normal variable:
For the sum of a sample of n values, the mean is of [tex]M = n\mu[/tex] and the standard deviation is of [tex]s = \sigma\sqrt{n}[/tex]
Average 2.8 minutes
This means that [tex]\mu = 2.8[/tex]
75 calls each day.
This means that [tex]n = 75[/tex]
What is the expected total amount of time in minutes the operator will spend on the calls each day?
[tex]M = n\mu = 75(2.8) = 210[/tex]
The expected total amount of time in minutes the operator will spend on the calls each day is of 210 minutes.
How many inches is the circumference of this circle?
Type in your answer WITH NO LABEL, JUST THE NUMBER.
Answer:
Diameter(line going across the circle that you've given) = 6 in
Radius(half of diameter) = 3 in
Circumference(the perimeter of the circle) = 18.85 in
Area = 28.27^2
Step-by-step explanation:
In order to find the circumference, you will need to first find the radius(which is always half the size of the diameter which in this case is 3 in). You will then need to do this formula: 2 x 3.14 x 3 which equals to 18.85.
Answer:
The circumference of a circle is about 18.85 inches.
Step-by-step explanation:
The radius is always half of the diameter, and the diameter is 6 inches.
6 divided by 2 is 3, so the radius of this circle is 3 inches.
The formula for circumference of a circle is :
C = 2πr = 2 · π · 3 ≈ 18.84956
The circumference of a circle is about 18.85 inches.
Identify the location of the point (-3, -2).
Solve the following equation for x:
12x+2=26
Answer:
[tex] \large{ \tt{❃ \: STEP-BY-STEP \: EXPLANATION}} : [/tex]
[tex] \large{ \tt{❁ \: ORIGINAL \: PROBLEM : 12x + 2 = 26}}[/tex]
We want to remove the 2 first. Since the original equation is + 2 , we're gonna use the opposite operation and subtract 2 form both sides.[tex] \large{ \tt{↦ \: 12x + 2 - 2 = 26 - 2}}[/tex]
Simplify! 2 - 2 = 0 on the left and 26 - 2 = 24 on the right.[tex] \large{ \tt{↦ \:12x = 24}}[/tex]
Then we need to think about how to remove the coefficient 12 . Since the opposite of multiplication is division , we're going to divide both sides by 12.[tex] \large{ \tt{ ↦ \: \frac{12x}{12} = \frac{24}{12}}} [/tex]
Simplify. 12/ 12 = 1 on the left and 24 / 12 = 2 on the right. So our answer is x = 2 .[tex] \boxed{ \boxed{ \large{ \tt{↦x = 2}}}} \large✓[/tex]
✺ Don't stress yourself for the day you've done nothing instead focus on the remaining change you have left and work on it. ♪
ツ Hope I helped ! ۵
☼Have a wonderful day / night ! ☃
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17. The function rule C = 40n + 210 relates the number of months n to cost in dollars C of a phone plan and budget phone. Make a table of the input output pairs to show the cost of the phone and phone plan after 2. 12. and 24 months.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
To compute a value for the table put the given "input" into the formula and do the arithmetic. Repetitive arithmetic is often easily handled by a graphing calculator or spreadsheet.
Example:
for n=2, C = 40·2 +210 = 80 +210 = 290
What is the solution of StartRoot x + 2 EndRoot minus 15 = negative 3?
9514 1404 393
Answer:
x = 142
Step-by-step explanation:
You want to find x such that ...
[tex]\sqrt{x+2} -15=-3\qquad\text{given}\\\\\sqrt{x+2} =12\qquad\text{add 15}\\\\x+2=144\qquad\text{square both sides}\\\\\boxed{x=142}\qquad\text{subtract 2 to get x by itself}[/tex]
Answer:
a
Step-by-step explanation:
At a new school there are 2 teachers of every 15 students. If the school has 42 teachers, how Many students are there in the school?
Answer:
proportion
Step-by-step explanation:
2----> 15
42--->x
x=(42*15)/2
x= 21 *15.
x= 315
therefore there are 315 students in the school
HELP ME PLEASEEEEEEEEEEEEEEEE
Answer:
15.7
Step-by-step explanation:
Because the width has to be bigger than the length since its a rectangle and 15.7 matches the equation of 43.8 and 12.4
Answer:
P = 2(l + w)
43.8 = 2(12.4 + x )
43.8 = 24.8 + 2x
43.8 - 24.8 = 2x
19 = 2x
Divide both side by two;
x = 9.5 ft
A square park has an area of 1/16 square miles and a length of 1/4 mile. What is
the width of the park?
9514 1404 393
Answer:
1/4 mile
Step-by-step explanation:
The length and width of a square are the same.
The length is 1/4 mile, so the width of the park is 1/4 mile.
A square park has an area of 1/16 square miles and a length of 1/4 mile. What is the width of the park?
The formula for width is:[tex]\quad \quad \quad \boxed{ \tt{width = \frac{area}{length}}}[/tex]
Lets try![tex]\quad \quad \quad{\tt{w = \frac{1}{16} \div \frac{1}{4} = \boxed{\tt{0.25}}}}[/tex]
Lets convert it to fraction:[tex]\quad \quad \quad \boxed{ \tt{w = 0.25}} \: ➡ \boxed{ \tt{w = \frac{1}{4}}}[/tex]
So the value of width is:[tex]\boxed{ \tt{w = \frac{1}{4}}}[/tex]
_________
#LetsStudy
Pls help I’ll brainlest
Answer:
A
Step-by-step explanation:
5 x 10^4/2.5 x 10^2
10^2 gets cancel out by 10^4
5 gets divided by 2.5 which equals 2
Leaving us with 2 x 10^2
Answer:
A
Step-by-step explanation:
2 x 10^2
Four internet providers offer similar services to almost everyone in the city. Any new company would have to engage in a price war with the existing companies
Determine the intercept of the line
Y-intercept: (___,___)
X-intercept: (___,___)
Answer:
y-inter:(0,-44)
x inter:(-10,0)
can someone please help me with this question
Answer:
3/5 * 5/6
= 15/30
Step-by-step explanation:
So the answer is the third one in line
Answer:
15/30 (simplified).
Step-by-step explanation:
[tex]3/5*5/6[/tex]
To multiply the find the value of this problem, multiply the numerators and denominators.
Remember, numerators are the numbers above the fraction bar.
Denominators are the numbers below the fraction bar.
Numerators: 3, 5
Denominators: 5, 6
[tex]3*5=15[/tex]
[tex]5*6=30[/tex]
After finding the products, add the fraction bar.
[tex]15/30.[/tex]
In most cases, you will be asked to simplify. It does not seem like simplifying is required in this question.
But, I'll simplify anyway.
15/30 = 1/2 (simplified).
please answer! yes I'll mark as brainliest
7/4
Step-by-step explanation:
The line would go up 7 points (from -3 to 4) and across 4 points (from -3 to 1)
what is the answer please help
A kitchen floor can somebody plzzzz helpppp
Answer: 876
Step-by-step explanation:so all you need to do is go into
To make it more easier for everyone, it's on Khan Academy and this problem is in Algebra 1 to be specific. Solve for x.
3x−8≤23 AND −4x+26≥6
Choose 1 answer:
A: x ≤ 31/3
B: x ≤ 5
C: 5 ≤ x ≤ 31/3
D: There are no solutions
E: All values of x are solutions
Answer:
B: x≤5
Step-by-step explanation:
Hi there!
We're given two inequalities; 3x−8≤23 and −4x+26≥6
We need to find the values of x that make BOTH of the inequalities true (which is the intersection of the two inequality graphs)
First, let's solve for x in both of them
taking the first inequality:
3x−8≤23
add 8 to both sides
3x≤31
divide by 3
x≤31/3
now solve for x in −4x+26≥6
subtract 26 from both sides
-4x≥-20
divide both sides by -4 and remember to FLIP the inequality sign since we have a negative number
x≤5
now let's graph these two inequalities to find the intersection, and that is below with the answer
Hope this helps! :)
Please help me with these questions
Answer:
okay the first questions answer is ,c,is true and rest of them are false
The sum of two integers is 33. The larger is 6 more than twice the smaller. Find the two
integers.
Answer:
24 and 9
Step-by-step explanation:
Hi there!
Let x be equal to the larger integer.
Let y be equal to the smaller integer.
1) Construct equations
[tex]x+y=33[/tex] (The sum of two integers is 33)[tex]x=6+2y[/tex] (The larger is 6 more than twice the smaller)2) Solve for one of the integer
Isolate x in the first equation
[tex]x+y=33\\x=33-y[/tex]
Plug the first equation into the second
[tex]33-y=6+2y[/tex]
Combine like terms
[tex]33-6=2y+y\\27=3y\\9=y[/tex]
Therefore, the smaller integer is 9.
3) Solve for the other integer
[tex]x+y=33[/tex]
Plug in y (9)
[tex]x+9=33\\x=33-9\\x=24[/tex]
Therefore, the larger integer is 24.
I hope this helps!
If a die is rolled one time find these probabilities
-getting a number greater than 2 and an even number
-getting a number less than 1
Answer:
1. 1/3
2. 0
Step-by-step explanation:
Plzzz someone help i just need the formula
Answer:
[tex]S(y)=36000*(1+0.03)^{y}[/tex]
Step-by-step explanation:
Answer:
y=36,000×1.03^x
Step-by-step explanation:
A person travels 620 mi in 10 hours. What is the rate in miles per hour?
Answer:
62 miles per hour
Step-by-step explanation:
620mile/10hrs
62miles/hr
62 miles per hour
The volume of a spherical balloon is increasing at a constant rate of 3 in3/s. At what rate is the radius of the balloon increasing at the instant its radius is 2 inches?
Answer:
0.0597in/s
Step-by-step explanation:
The volume of the spherical balloon V= 4/3πr³
r is the radius of the balloon
The rate at which the volume is changing dV/dt is expressed as;\
dV/dt = dV/dr*dr/dt
dV/dr = 3(4/3πr²)
dV/dr = 4πr²
dV/dr = 4π(2)²
dV/dr = 16π
dV/dt = 3 in³/s
Substitute inti the formula
3 = 16πdr/dt
dr/dt = 3/16π
dr/dt = 3/50.24
dr/dt = 0.0597in/s
Hence the balloon is increasing at the rate of 0.0597in/s
Becoming a member at fitness club costs $50 plus a monthly fee of $25. Using the graph, estimate how many months a person has been a member if he has paid a total of $250.
Answer:
0.3
Step-by-step explanation:
find two consecutive whole numbers that square root of 84 lies between
Answer:
9 and 10
Step-by-step explanation:
the closest squares to 84 are 81 and 100 which those square roots are 9 and 10 respectively so the square root of 84 is between the consecutive whole numbers nine and ten
ps in a calculator the sqrt of 84 is 9.16515139...
Hope this helps! :)