Answer:
A. Eva
Step-by-step explanation:
Given that
The entire school, 250 students, went to the soap box derby.2 vans went to soap box derby and each van held 6 students.
To find the total number of students from the Math Club who went to the soap box derby, we need to add the number of students in each van, the number of times equal to the number of vans.
i.e. by adding 6 (i.e. number of students in each van) 2 (number of vans )number of times, we can get the number of students from Math Club who went to the soap box derby.
Number of Math Club students who went to the soap box derby = 6 + 6 = 12
OR
Simply, multiply number of students in each van with the number of vans .
6 [tex]\times[/tex] 2 = 12
Therefore, Eva is correct about the calculations.
Evaluate
3x (x + 2) – 3x? for x = 19
Answer:
1140
Step-by-step explanation:
3x(x + 2) - 3x
x = 19
3 * 19( 19 + 2) - 3 * 19
3 * 19(21) - 3 * 19
3 * 19 = 57
57(21) - 3 * 19
57 * 21 = 1197
1197 - 57
1140
Hope this helped!
The administrator of a $200,000 trust fund must adhere to following guidelines.
a. The money may be invested in three different types of securities: a utilities stock paying a 9% dividend, an electronics stock paying a 4% dividend, and a bond paying 5% interest.
b. The amount invested in the stocks cannot be more than half the total amount invested; the amount invested in the utilities stock cannot exceed $40,000; and the amount invested in the bond must be at least $70,000.
c. The total amount need not be fully invested at any one time.
Required:
Setup an LP problem to maximize profit.
Step-by-step explanation:
let us give all the quantities in the problem variable names.
x= amount in utility stock
y = amount in electronics stock
c = amount in bond
“The total amount of $200,000 need not be fully invested at any one time.”
becomes
x + y + c ≤ 200, 000,
Also
“The amount invested in the stocks cannot be more than half the total amount invested”
a + b ≤1/2 (total amount invested),
=1/2(x + y + c).
(x+y-c)/2≤0
“The amount invested in the utility stock cannot exceed $40,000”
a ≤ 40, 000
“The amount invested in the bond must be at least $70,000”
c ≥ 70, 000
Putting this all together, our linear optimization problem is:
Maximize z = 1.09x + 1.04y + 1.05c
subject to
x+ y+ c ≤ 200, 000
x/2 +y/2 -c/2 ≤ 0
≤ 40, 000,
c ≥ 70, 000
a ≥ 0, b ≥ 0, c ≥ 0.
A candy company used 18 pints of chocolate to make 3 boxes of candy. What is the rate of chocolate per box?
Answer:
6 chocolates per box.
Step-by-step explanation:
What does cap mean? Any help would be nice
Answer:
lie it means lie
Step-by-step explanation:
cap means lie
Answer:
it means "lie"
Step-by-step explanation:
for exmple instead of saying "no lie" u can say "no cap" or like "Cap" like it means u lying
The point P(-2, - 5) is rotated 90° about the origin, and then the image is reflected across the line
x= 3. What are the coordinates of the final image p’’?
Given:
The point P(-2, - 5) is rotated 90° about the origin, and then the image is reflected across the line x= 3.
To find:
The the coordinates of the final image P’’.
Solution:
The point P(-2, - 5) is rotated 90° about the origin. It means the point is rotated 90° counter clockwise about the origin
[tex](x,y)\to (-y,x)[/tex]
[tex]P(-2,-5)\to P'(-(-5),(-2))[/tex]
[tex]P(-2,-5)\to P'(5,-2)[/tex]
Then the image is reflected across the line x= 3.
[tex](x,y)\to (-x+6,y)[/tex]
[tex]P'(5,-2)\to P''(-5+6,-2)[/tex]
[tex]P'(5,-2)\to P''(1,-2)[/tex]
Therefore, the \coordinates of the final image P'' are (1,-2).
The table below shows the typical hours worked by employees at a company. A new employee is offered an annual salary of $37,000. Hourly employees get paid $14 per hour, but get $21 per hour for each hour over 40 hours. Should the new employee choose the salaried or hourly pay? Explain your reasoning.
Sun.
Mon.
Tues.
Wed.
Thurs.
Fri.
Sat.
0
8.5
9.5
7.5
8
8.5
4
The new employee should select the salary pay because a $37,000 yearly income is more than a $35,672 hourly wage.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
The table below shows the typical hours worked by employees at a company.
Based on the data given:
Total number of hours = 0+ 8.5 + 9.5 + 7.5 + 8 + 8.5 + 4
Total number of hours = 46
Hourly pay = (40×$14) + (6×$21)
Hourly pay = $686 per week
Annual earnings = 52×686
Annual earnings = $35,672
The new employee should select the salary pay based on the calculations above since a $37,000 yearly income is more than a $35,672 hourly wage.
Thus, the new employee should select the salary pay because a $37,000 yearly income is more than a $35,672 hourly wage.
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a soccer ball is kicked from the ground, abd it traveled at a rate of 8 meter per second. using his function h= -5t^2+8t
Answer:
h(t)=0 so we have two answers from this equation t=0 & t=4. 4-0=4 seconds the ball was in the air
Step-by-step explanation:
-2 (3a – 2) = 1/3(7 – 3a)
Answer:
i have no idea. But i will answer because i'm still learning.
Step-by-step explanation:
-2 (3a – 2) = 1/3(7 – 3a)
is whats the question
ok its i'm guessing -2 (3a – 2) = 1/3(7 – 3a)
-2.15384615385
Hope this helps ;)
Help with this pls thank you
Suppose a, b, and c are all negative numbers. How do you find the distance between the points (a,b) and (a,c)?
Which of the following points is a solution to y s -2x + 3?
(0,4)
(1, 0)
(3,-2)
(5,-2)
Answer:
0,4
Step-by-step explanation:
If Amy bought $113 worth of
groceries and paid $7.91 in taxes,
what was the percent tax?
Answer:
stupid noob
Step-by-step explanation:
Find the distance between the two points,(8,-7) (-4,-2) ROUND TO THE
NEAREST TENTH)
Answer:
square root of 169 =13
Step-by-step explanation:
distance between 2 points is given by the square root of (144+25)
Ktoś mi pomoże s tą stroną?
Answer:
Is there an English translation?
solve x^2-12x+36=44 by factoring!!
please help asap with work shown :)
x^2 - 12x + 36 is a perfect square trinomial and can be written as (x-6)(x-6).
(x - 6)^2 = 44.
Take the square root of both sides to get...
x - 6 = ±√44 (Always make the square root + or - when you square root)
Add 6 to both sides...
x = √44 + 6
x = -√44 + 6
These are the 2 values of x.
You can also write it to be -0.633 and 12.633. (Once you round.)
Kale is hiking 2,345 feet above sea level. The peak of the mountain he is climbing is 3,283 feet above sea level. What is
the vertical distance between Kale and the mountain peak?
938 feet
O 942 feet
O 1,142 feet
O 5,628 feet
Answer:
938
Step-by-step explanation:
Because if you subtract 3,283-2,345 you will get 938
Also because it is right on edge
Answer:
938 :)
Step-by-step explanation:
Whitley park is a rectangular park with a perimeter of 70 yards. One side of Whitley park is 18 feet long. What is the area of Whitley park?
Answer:
174 yards squared
Step-by-step explanation:
If Whitley park is a rectangular park with a perimeter of 70 yards. One side of Whitley park is 18 feet long then 174 yards is the area.
What is Area of Rectangle?Area of rectangle is length times of breadth.
We know that 18 feet=6 yards.
It is given that One side of Whitley park is 18 feet long, so one side of length is 6 yards.
2(Lenght+breadth)=70
2(L+6)=70
2l+12=70
2l=70-12
2l=58
l=29 yards
Now
Area =Length×breadth
=29×6
= 174 square yards
Hence 174 square yards is the area of Whitley park.
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Which descriptions of a histogram are true? Check all that apply..
A peak is a bar that is lower than the other bars around it.
A peak is where the frequency is lowest.
A peak is where the frequency is the highest.
A cluster is a group of bars, meaning the frequency is higher in these intervals.
A peak is a bar that is higher than the other bars around it.
Intervals on a histogram where there are no bars mean the frequency is 0.
If the graph is symmetrical, the data is clustered toward the right side.
If the graph is symmetrical, the data is evenly distributed.
Answer:
A peak is where the frequency is the highest.
A cluster is a group of bars, meaning the frequency is higher in these intervals.
A peak is a bar that is higher than the other bars around it.
Intervals on a histogram where there are no bars mean the frequency is 0.
If the graph is symmetrical, the data is evenly distributed.
Step-by-step explanation:
The correct statement about histogram is as follows;
A peak is where the frequency is the highest.
A cluster is a group of bars, meaning the frequency is higher in these intervals.
A peak is a bar that is higher than the other bars around it.
Intervals on a histogram where there are no bars mean the frequency is 0.
If the graph is symmetrical, the data is evenly distributed.
We have to determine, which descriptions of a histogram are true?
According to the question,
A histogram meaning can be stated as a graphical representation that condenses a data series into an easy interpretation of numerical data by grouping them into logical ranges of different heights which are also known as bins.
Characteristics of a Histogram are as follows;
A histogram is used to display continuous data in a categorical form.
In a histogram, there are no gaps between the bars, unlike a bar graph.
The width of the bins is equal.
A histogram is a type of representation of a data set where bars are used to represent the frequencies.
The area of these bars is said to be proportional to the frequency of the variable.
The peak of a histogram represents the highest value of frequency. Also, the peak is a bar that is higher than the other bars around it.
In a histogram intervals wherein bars cannot be seen would represent the frequency of that would zero.
Also, if the histogram is said to be symmetrical, then the data should be distributed evenly.
A peak is where the frequency is the highest.
A cluster is a group of bars, meaning the frequency is higher in these intervals.
For more details refer to the link given below.
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Help Solve???????????
Answer:
-m^2 - 9m + 3 (the third one)
Step-by-step explanation:
separate the terms and group them with their equivalents (integers:inetgers, variables: variables, etc.) like so:
4m^2 & -5m^2 = -m^2
-8m & -m = -9m
12 & -9 = 3
add them all together to get the expression -m^2-9m+3
1. Jack and Jill both begin working new jobs for the summer. Jack is offered $18 per hour and will also be given $699 up front for accepting the job. Jill is offered $20 per hour for her work, with no up front bonus. After how many hours of work will Jack and Jill have earned the same (or equal) amount of money?
Answer:
BRuh
Step-by-step explanation:
Girl my math skills are no where near subpar to that. Good luck!
Answer:
I think the answer is 35 hours to get the same amount of money
Please help me please
Answer:
Alternate Interior Angles Theory
Step-by-step explanation:
Any number inside the angle is known as an Alternate Interior Angle.
If the function f(x)= 2(x+1)²-1 is invertible, over what interval could the domain of f(x) be restricted?
A. (-∞, -1)
B. (-∞, ∞)
C. (-∞, 0)
D. (-∞, 1)
A coin contains 999 grams of nickel and 161616 grams of copper, for a total weight of 252525 grams.
Answer:
X=64%
Step-by-step explanation:
The percentage of Cooper in the coin is 64%
How do you come to this conclusion?
252525--100%
161616--X%
Now you can use the cross rule: X=(161616x100)/252525
Check it out now X=64%
Answer:
Your MOM
Step-by-step explanation:
1,000% of 880 is the same as 60 percent of what number?
Answer:
Step-by-step explanation:
1000% of 880=8800
60%*x=8800
60x=8800
/60. /60
1%x=146.6
*100. *100
100%=14666.67
Susan has at most $90 to spend at the store to get ready for her party. She wants to buy deli meat that costs $10 per pound and fancy bread that costs $9 per loaf. However, she can only hold at most 6 items in her basket. How many pounds of deli meat and loaves of bread should she buy? Write a system of inequalities to model the situation. Let x represent number of pounds of deli meat and let y represent number of loafs of bread.
What is on of the inequalities from this situation above?
Answer:
.
Step-by-step explanation:
6(3 + 2) + (8 – 2 x 4) =
Answer:
30
Step-by-step explanation:
6(3 + 2) + (8 - 2 × 4)
Always apply the law of BIDMAS when solving an expression
6(3 + 2)
18 + 12
30
(8 - 2 × 4)
= 8
8 - 8 = 0
30 + 0 = 30
Jackson has 2,000 baseball cards Gabe has 1/10 as many as Gabe how many baseball cards does Gabe have in his collection
Answer:
200 baseball cards
Step-by-step explanation:
We write the expression:
2000 x 1/10 =
200
Which of these graphs below represents a function?
Answer:
the one you've selected pink, (the one that looks like a U)
Step-by-step explanation:
if you can pass a vertical line through a supposed function and have it only cross once, it's a function.
Find the measures of an exterior angle and an interior angle given the number of sides of each regular polygon. Round to the nearest tenth, if necessary. 24 b 15, 345 24, 156 7.5, 172.5 15, 165
Answer: Find the measures of an exterior angle and an interior angle given the number of sides of each regular polygon. Round to the nearest tenth, if necessary. 24 b 15, 345 24, 156 7.5, 172.5 15, 165
Step-by-step explanation: sum, S, of the measure of the interior angles of a polygon with n sides is: ... The sum of the interior angles of a 24 -gon is 3960. ... angles of a polygon is (n−2)⋅180 , where n is the number of sides. ... Each exterior angle measures 36024=15 . ... The sum of the 24 interior angles is then 24⋅165=3960 .
Suppose the technology matrix for a closed model of a simple economy is given by matrix A. Find the gross productions for the industries. (Let H represent the number of household units produced, and give your answers in terms of H.)
Answer:
hello your question is incomplete attached below is the complete question
Answer :
products : [tex]\frac{7H}{17} units[/tex]
machinery : [tex]\frac{H}{17} units[/tex]
households : H units
Step-by-step explanation:
attached below is the remaining part of the detailed solution
products : [tex]\frac{7H}{17} units[/tex]
machinery : [tex]\frac{H}{17} units[/tex]
households : H units