Answer:
a) nothing and 30 dollars.
Step-by-step explanation:
Opportunity cost usually arises when faced with choices or alternatives such that one has to be chosen, while the other is forgone. The benefits forgone by choosing a certain option of the available choices is called opportunity cost.
Given that :
Option A requires $20 payment
Option B requires $50 payment
Opportunity cost of choosing A = nothing (since payment required for the other alternative is higher than the chosen option)
Opportunity cost of Choosing B = ($50 - $20) = $30 (By choosing option B over option A, $30 was forgone as the other option (option A requires $30 lesser payment)
A buffet offers ranch or caesar dressing. The ratio of ranch dressing used to caesar dressing used is 6 : 1. If the buffet uses 24 cases of ranch dressing, how many cases of caesar do they use?
Answer: They used 4 cases of caesar .
Step-by-step explanation:
Given: The ratio of ranch dressing used to Caesar dressing used is 6 : 1.
Let number of ranch dressing = 6x
Number of Caesar dressing = x
As per given, [tex]6x=24[/tex]
[tex]\Rightarrow\ x=\dfrac{24}{6}=4[/tex], which is the number of caser cases.
Hence, they used 4 cases of caesar .
A person’s weekly pay is directly proportional to the number of hours worked. Shawn’s pay is $123.00for 20 hours of work. Find the amount of pay for 31 hours of work. ONLY NUMERICAL VALUE
Answer:
$190.65 for 31 hours
Step-by-step explanation:
P= ha
123=20a
123/20=a
6.15=a
P=6.15h
P= 6.15(31)
p=190.65
You baked ¾ of a cake in 5/6 of an hour. How long will it take you to bake 18 cakes?
Answer:
20 hours
Step-by-step explanation:
First, it would be easiest to find how long it will take to bake 1 cake. We can take 5/6 and multiply it by 100 to put it into a percentage form. Then we divide by 75 (3/4 is 75%). This gives us 1.11 hours to bake 1 cake. We then multiply 1.11 by 18 (for 18 cakes) and our final answer is 20 hours to bake 18 cakes.
A rocket is launched from a tower the height of the rocket why in feet is related to the time after launch X in seconds by the given equation use this equation find the maximum height reached by the rocket to the nearest 10th of a foot y=-16x^2+152x+83
Answer:
444mStep-by-step explanation:
Given the height of the rocket modelled by the equation;
y=-16x^2+152x+83
The rocket reaches its maximum height when the velocity of the rocket is zero.
Since velocity is the change in displacement with respect to time;
velocity v = dy/dx
dy/dx = -32x + 152
at dy/dx = 0
-32x + 152 = 0
-32x = -152
x = -152/-32
x = 4.75s
To get maximum height reached by the ball, we will substitute x = 4.75 into the modeled function as shown;
y(4.75) = -16(4.75)^2+152(4.75)+83
y(4.75) = -361+722+83
y(4.75) = 444m
Hence the maximum height reached by the ball is 444m
Simplify -3x + 7y + 21y - 12x
O 9x + 28y
0 -9x + 28y
0 4x - sy
0 -15x + 28y
Answer:
-15x+28y
Step-by-step explanation:
combine like terms!!
Answer:
D. -15x + 28y
Step-by-step explanation:
- 3x + 7y + 21y - 12x
Move the equation
- 3x - 12x + 7y + 21y
Combine - 3x and - 12x
- 15x + 7y + 21y
Combine 7y and 21y
-15x + 28y
Because you cannot simplify this equation any further, that is your answer
I hope that this helps! :)
What is the equation of this line in slope-intercept form? pls answer asap I need it today.
Answer:
y = -3× - 1
Step-by-step explanation:
the explanation is in the picture, hope this helped!
Which ordered pairs are solutions to the inequality y - 3x < -8?
Select each correct answer.
(1, -5)
(-3, - 2)
(0, -9)
(2, -1)
(5, 4)
Answer:
Option B,C and E are solution to given inequality [tex]y - 3x < -8[/tex]
Step-by-step explanation:
We need to check which ordered pairs from given options satisfy the inequality [tex]y - 3x < -8[/tex]
Ordered pairs are solutions to inequality if they satisfy the inequality
Checking each options by pitting values of x and y in given inequality
A ) (1, -5)
[tex]-5-3(1)<-8\\-5-3<-8\\-8 < -8 \ (incorrect)[/tex]
So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.
B) (-3, - 2)
[tex]-2-3(-3) < -8\\-2-9<-8\\-11 < -8 (true)[/tex]
So, this ordered pair is solution of inequality as it satisfies the inequality.
C) (0, -9)
[tex]-9-3(0)<-8\\-9-0<-8\\-9<-8 \ (true)[/tex]
So, this ordered pair is solution of inequality as it satisfies the inequality.
D) (2, -1)
[tex]-1-3(2)<-8\\-1-6<-8\\-7<-8 \ (false)[/tex]
So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.
E) (5, 4)
[tex]4-3(5)<-8\\4-15<-8\\-11<-8 \ (true)[/tex]
So, this ordered pair is solution of inequality as it satisfies the inequality.
So, Option B,C and E are solution to given inequality [tex]y - 3x < -8[/tex]
Which expression is equivalent and why?
9514 1404 393
Answer:
C. 1.15x
Step-by-step explanation:
You are given the expression for the cost:
x + 0.15x
Combining like terms, this becomes ...
1.15x . . . . . matches choice C
plz help me i dont wanna fail and plz dont steal my points :(
Answer:
3. C
4. D
Step-by-step explanation:
Hope this helps you so much!
The ratio between the number of red and green marbles in a box is 3:7. How many marbles are in the box if there are 20 fewer red marbles than green marbles?
I need this ASAP!
Answer:
50 marbles
Step-by-step explanation: The difference between the ratio of the red and green marbles is 4 units and the number value is 20 so its safe to say that 4 units is equal to 20 and thus one unit is 5 and because of the fact that there is a total of 10 units of marbles in the box according to the ratio, just multiply 5 and 10 which you get 50.
4 units = 20
1 unit = 20÷4 = 5
Total = 10 units
10 unit = 5 ×10 = 50
Ans : 50 marbles
The angles of a triangle are x,2x,3x. Find the value of x in degrees
Answer:
x=30°
Step-by-step explanation:
x +2x+3x=6x
since triangles are 180° in total. 6/180=30
so 30° is your answer.
What is the equation of the line parallel to 8x−16y=−14 and passing through (3,0)?
6x−12y=18
6x+12y=18
12x−6y=−18
12x+6y=18
Answer:
2y = x - 3
Step-by-step explanation:
Parallel lines can be defined as lines that do not intersect and as a result of this, parallel lines have the same slope but different intercepts.
Given the following data;
Points (x, y) = (3, 0)
Equation is 8x - 16y = -14
To find the equation of the line?
First of all, we would have to determine the slope of the line;
y = mx + c ......equation 1
8x - 16y = -14
Rearranging the equation, we have
16y = 8x + 14
Dividing through by 16, we have;
y = 8/16(x) + 14/16
y = 1/2(x) + 7/8
Therefore, the slope, m is 1/2
*To find the intercept*
Since the line is parallel we would use, m = 1/2
Substituting the values into equation 1, we have;
y = mx + c for x = 3 and y = 0
0 = 1/2(3) + c
c = -3/2
Re-writing the equation of line;
Slope, m = 1/2
Intercept, c = -3/2
y = 1/2(x) + (-3/2)
Multiplying all through by the lowest common denominator "2"
2y = x - 3
Adam bought a hat for $12 and three shirts. If each shirt was the
same price and his bill was $54, how much was each shirt?
Answer: $14 each shirt
Step-by-step explanation:
54 - 12 = 42 ÷ 3 = 14
A delivery driver earns $221 for 17 hours of work. Assuming he is paid by the hour, how much will he earn in 12 hours?
Answer:
156
Step-by-step explanation:
221/17=13
13*12=156
Answer:
$156
Step-by-step explanation:
221/17=x/12
221*12=17x
2652=17x
156=x
help please!! i will give brainliest!!
Answer:
5/10 which is equal to 1/2 as the slope of this graph
Step-by-step explanation:
Answer:
slope = 1
Step-by-step explanation:
To find slope, use the formula [tex]\frac{rise}{run}[/tex]
You rise 2 and run 2. [tex]\frac{2}{2}[/tex] is equal to 1. The slope is 1. Hope this helps!
Thomas has a bag with 6 purple and 5 blue marbles. If his friend Nick pulls 2 marbles from the bag, what is the probability of him getting 2 purple marbles. 30/121 30/121 21/22 21/22 3/11 3/11 11/21
Answer: 3/11
Step-by-step explanation:
Number of purple marbles = 6
Number of blue marbles = 5
Total number of marbles = 6 + 5 = 11
The probability of picking the dust purple marble will be 6/11. After a purple marvel has been picked, there'll be 5 purple marbles left and the total number of marbles will be 10, therefore the probability of picking the second purple marble will be 5/10.
Therefore we then multiply the probability of picking the first purple marble by the probability of picking the second purple marble. This will be:
= 6/11 × 5/10
= 6/11 × 1/2
= 3/11
Find the ordered pairs for the x- and y-intercepts of the equation 2x − 6y = 24 and select the appropriate option below. (5 points) Group of answer choices The x-intercept is (2, 0); the y-intercept is (0, –6). The x-intercept is (0, 2); the y-intercept is (–6, 0). The x-intercept is (12, 0); the y-intercept is (0, –4). The x-intercept is (0, 12); the y-intercept is (–4, 0).
Answer: C
Step-by-step explanation:
The x-intercept is found when y=0, and the y-intercept is found when x=0. If y=0, then we have:
2x=24
x=12
Therefore, the x-intercept is 12, so the full coordinates are (12, 0). Note that the only option with this x-intercept is C, so C is the correct answer.
You can find the y-intercept similarly. If x is zero, then:
-6y=24
y=-4
Therefore, (0, -4) is the y-intercept.
Lisa gets paid $28 to babysit her little brother for 4 hours. At this rate, how much will she earn if she babysits her brother for 16 hours.
Answer:
$112
Step by step explanation:
i get the concept of slopes and such but i’m not rlly sure how to put a word problem in a graph? can someone please help out?
9514 1404 393
Answer:
see below
Step-by-step explanation:
Read the words down to the point where it says "graph this equation." Then, it's not a word problem anymore—it's a problem of graphing the given equation.
c = 2t +8
The "y-intercept" is the value of "y" when t=0. It is 8. This is the cost of a pizza with 0 toppings.
The slope is the coefficient of t. It is 2. This is the increase in the cost of a pizza when 1 topping is added. The slope is the cost of a topping.
__
Be aware that the grid on this graph shows squares, but the vertical dimension of the square is $2 while the horizontal dimension is 1 topping. That is, a line with a slope of 2 will lie on the diagonal of a grid square.
_____
Additional comment
We call the point where the graph crosses the vertical axis the "y-intercept." It is called that here, even though "y" is not in the equation or on the graph anywhere. It should rightfully be called the "c-intercept", since the vertical axis shows the value of c, the cost of the pizza.
Anyone know this pls help ill give brainliest :)
Answer:
30, 40, 60, 70,
Step-by-step explanation:
pattern by 10
For 3=30
4=40
6=60
7=10
Calculate the slope
50-20/5-2
10
Find the rate. $7.96 for 5 pounds
Answer:
So $1 is approximately £0.628
So £1 is exactly $1.592
Explanation:
It all depends on the basis of comparison. That is; which of the two you wish to make the unit ( 1 of )
Which is the greater rate, 22 miles in 20 minutes or 38 miles in 30 minutes?
Answer:
38 miles in 30 minutes
Step-by-step explanation:
To answer the question, we first want to find a common multiple of both numbers. The nearest is 60. Multiply each minute number to get to 60, multiply their other number by the same amount.
So, the first rate will travel 66 miles in 60 minutes while the second rate will travel 76 miles in 60 minutes. Therefore, the answer is the second option, 38 miles in 30 minutes.
Hope this helps! Let me know.
The greater rate is, ''38 miles in 30 minutes.''
What is ratio?The ratio is a numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.
We have two rates:
22 miles in 20 minutes,
and 38 miles in 30 minutes.
The ratio of rate:
22/20 = 1.1
38/30 = 1.27
Therefore, the rate = 38 miles in 30 minutes is greater.
To learn more about the ratio;
https://brainly.com/question/13419413
#SPJ3
GIVING BRAINIEST EXPLAIN ANSWER
Answer: B. -0.5 blocks per minute
Step-by-step explanation: It goes up 2 on the x column and down 1 (-1) on the y column. So it would be -1/2 = -0.5.
Answer:
B.) -0.5 blocks per minute
Step-by-step explanation:
Equation:
Rate of Change [tex]= \frac{8 - 9}{4 - 2}[/tex]
Simplify:
Rate of Change = [tex]\frac{-1}{2}[/tex]
Simplify:
Rate of Change = [tex]-0.5[/tex]
Please answer correctly !!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!
Answer:
The answer is 114 degrees.
Step-by-step explanation:
Since the angles are opposite from each other, it will be the same degrees.
what is the slope between (0,-2) and (1,1)
Answer:
The slope would be 3
Step-by-step explanation:
Lmk if you need an explanation
The graph below shows the height of a hot air balloon during a trip. What are the variables? Describe how they are related at various points
on the graph.
Answer:
The answer is A. I just took the quiz and the answer choices are the same. Question 2 is A as well.
Step-by-step explanation:
The balloon rises quickly to a certain height, levels off for a while, then gradually returns to the ground. Then the correct option is A.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The graph represents the height of the balloon with respect to time.
The positive slope represents the rise of the balloon and the negative represents the downfall of the balloon.
The balloon rises quickly to a certain height, levels off for a while, then gradually returns to the ground. Then the correct option is A.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Joe is solving a quadratic function by graphing. He gets -1, -2, and 2 as the solutions to the quadratic. What error did Joe make and what is the correct answer to the quadratic?
Answer:
There are only two roots of a quadratic.
Step-by-step explanation:
Not sure how Joe got three, but he did something incorrectly.
PLEASE HELP ASAP
50 POINTS BRAINLIEST
find the perimeter of the square
Answer:
9 inches
Step-by-step explanation:
We see all sides are the same length:
4x+3=3(2x-5)
4x+3=6x-15
18=2x
x=9
Therefore 9 inches.
HELPPPP
Question 7 of 10
What is one way the Federal Reserve can reduce the amount of money
available in the economy?
A. Raising the discount rate
B. Selling treasury securities
C. Buying treasury securities
D. Lowering the interest on reserves
SURIMIT
Answer:
selling treasury securities
Step-by-step explanation:
Answer:
B. Selling treasury securities
Step-by-step explanation:
Just took it on A P E X
To find the volume of a rectangular prism, you can use the formula of V = l w h. A rectangular prism has a volume of 60 cubic centimeters, a height of 3 cm, and a length of 5 cm. What is the width of the prism?
Answer:
W = 4
Step-by-step explanation:
The nice thing about algebra is that you can look for any variable in an equation as long as you have the number for the other variables.
1. Write our the equation. V = l w h
2. Put in as many numbers as you can. 60 = 5 w 3
3. Isolate the variable. To do that perform the mathematical opposite to the target on both sides. So to get rid of five, we have to divide it on both sides of the equal sign.
60/5 = w 3
12/3 = w
4 = w
The width is 4cm
