Answer:360 hours
Step-by-step explanation:You have to add to get you answer.I will show you how I got 360:
70+20=90
90+20=110
110+250=360
Your answer is: 360 hours
hope this is helpful :)
There are a total of 18 socks. If the ratio of purple socks to white socks is 2 to 4, how
many of them are white?
Answer:
12 of them
Step-by-step explanation:
2:4
4:8
6:12
Answer:
12
Step-by-step explanation:
sum the parts of the ratio, 2 + 4 = 6 parts
Divide total number of socks by 6 to find the value of one part of the ratio.
18 ÷ 6 = 3 ← value of 1 part of the ratio, thus
4 parts = 4 × 3 = 12 ← number of white socks
6. Four friends play a game. At the end the game, each player counts the number of
points they earned and rolls a die. The bonus score is equal to the number rolled
multiplied by the square root of the number of points earned. The table below shows
each friend's bonus score.
Friend
Bonus Score
Jackie
2 x V 82
Philip
3 x V 51
Cassidy
6 V 19
Antonio
2 v 56
Which of the following lists the friends from highest to lowest bonus score?
No
Answer:
ill help
Step-by-step explanation:
Answer:
Cassidy
6 V 19=26
Philip
3 x V 51=21
Jackie
2 x V 82=18
Antonio
2 v 56=14
I hope this is good enough:
.An open box is to be formed out of a rectangular piece of cardboard whose length is 12cm longer than its width. to form the box, a square of side 5cm will be removes from each corner od the cardboard. then the edges of the remaining cardboard will be turned up. if the box is to hold at most 1900cm³ what mathematical statement would represent the given situation
a. x² - 12x ⩽ 360
b. x² - 12x ⩽ 380
c. x² - 8x ⩽ 400
d. x² + 8x ⩽ 400
The maximum value of x = 18.8 approx. Hence the mathematical statement that represents the given situation is x² - 12x ⩽ 380. The correct option is b.
Given that an open box is to be formed out of a rectangular piece of cardboard whose length is 12cm longer than its width.
To form the box, a square of side 5cm will be removed from each corner of the cardboard. Then the edges of the remaining cardboard will be turned up.
If the box is to hold at most 1900 cm³ then the mathematical statement that represents the given situation is:
x² - 12x ⩽ 380. Hence, option (b) is the correct.
Consider the width of the rectangular cardboard be x cm.
Then its length would be x + 12 cm.
Now the square of 5cm is removed from each corner.
The height of the box would be 5 cm, as given.
Then, the length and width of the box would be (x + 12 - 10) cm and (x - 10) cm respectively.
Hence the base of the box would be x² - 20x + 100 cm².
Now we need to determine the maximum value of x so that the box can hold a maximum of 1900 cm³.
The volume of the box is given by length × width × height
x(x + 2) (5) ⩽ 1900x² + 10x - 1900
⩽ 0x² - 190x + 190 ⩽ 0(x - 10) (x - 19)
⩽ 0x ⩽ 19
[Since x > 0]
Therefore, x lies between 0 and 19.
When we plot the graph for the given expression, the curve intersects x-axis at x = 10 and x = 19.
Hence the value of x should be between 10 and 19.
Now let's determine the maximum value of x. For that, substitute x = 19 in the volume of the box.
We get the volume of the box to be 1901 cm³ which is greater than 1900 cm³.
The correct option is b.
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Can anyone solve this for me?
[tex]x^{2}[/tex]+9x-6
x = [tex]\frac{-1^{2} }{3}[/tex]
Answer: 9x - 485/81
------------------------------
A principal wishes to implement a decision that has to be a number between 0 and 1; that is, a decision d needs to be implemented where 0 sdS1. The difficulty for the principal is that she does not know what decision is appropriate given the current state of the economy, but she would like to implement a decision that exactly equals what is required given the state of the economy. In other words, if the economy is in state s (where 0 sS 1) the principal would like to implement a decision d s as the principal's utility Up (or loss from the maximum possible profit) is given by Up--s-d With such a utility function, maximising utility really means making the loss as small as possible. For simplicity, the two possible levels of s are 0.4 and 0.7, and each occurs with probability 0.5 There are two division managers A and B who each have their own biases. Manager A always wants a decision of 0.4 to be implemented, and incurs a disutility Ua that is increasing the further from 0.4 the decision d that is actually implement, specifically U-0.4-d.Similarly, Manager B always wants a decision of 0.7 to be implement, and incurs a disutility UB that is (linearly) increasing in the distance between 0.7 and the actually decision that is implemented - that is Ug--10.7 Each manager is completely informed, so that each of them knows exactly what the state of the economy s is (a) The principal can opt to centralise the decision but before making her decision given she does not know what the state of the economy is - she asks for recomm endation s from her two division mana gers. Centralisation means that the principal commits to implement a decision that is the average of the two recommendations she received from her managers. The recommendations are sent simultaneously and cannot be less than 0 or greater than 1 Assume that the state of the economy s = 0.7. What is the report (or recommendation) that Manager A will send if Manager B always truthfully reports s? (b) Again the principal is going to centralise the decision and will ask for a recommendation from both managers, as in the previous question. Now, however assume that both managers strategically make their recommendations. What are the recommendations rA and rB made by the Managers A and B, respectively, in a Nash equilibriunm
A. Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.
B. The recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.
(a) If Manager B always truthfully reports the state of the economy (s = 0.7), Manager A would send a recommendation that minimizes their disutility Ua. In this case, Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.
(b) In a Nash equilibrium, both managers strategically make their recommendations based on their own utility. Manager A wants to minimize their disutility Ua, which increases as the decision deviates from 0.4. Manager B wants to minimize their disutility UB, which increases as the decision deviates from 0.7.
To find the Nash equilibrium, we need to consider the recommendations made by both managers simultaneously. Let's denote the recommendations as rA (from Manager A) and rB (from Manager B). The principal's decision, d, would be the average of the recommendations, so d = (rA + rB) / 2.
Given that both managers strategically choose their recommendations, they will aim to minimize their disutility. In this case, Manager A would recommend a decision of 0.4 (as it minimizes Ua), and Manager B would recommend a decision of 0.7 (as it minimizes UB). Therefore, the recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.
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A box has three cards numbered 1, 2, and 3 A bag has three balls labeled A, B, and C Felipe will randomly pick a card from the box and record the number chosen. Then he will randomly pick a ball from the bag and record the letter chosen. Give the sample space describing all possible outcomes. Then give all of the outcomes for the event that the letter chosen is A.
The total number of possible outcomes for the event in which the letter chosen is A is 3.
A sample space is a set of all the possible outcomes that can be generated by performing a random experiment. Felipe chooses one card from the box, numbered 1, 2, or 3, and then he chooses a ball from the bag, labeled A, B, or C.
Hence, the number of possible outcomes is 3 x 3, or 9.
Below is the sample space describing all the possible outcomes:
{1A, 1B, 1C, 2A, 2B, 2C, 3A, 3B, 3C}
Now, we must find all the possible outcomes for the event in which the letter chosen is A.
Felipe picks a card from the box, numbered 1, 2, or 3.
If he selects card 1, he can then choose ball A, B, or C, resulting in three possible outcomes.
If he selects card 2, he can also select ball A, B, or C, resulting in another three possible outcomes.
If he chooses card 3, he can also choose ball A, B, or C, resulting in another three possible outcomes.
Hence, the total number of possible outcomes for the event in which the letter chosen is A is 3.
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Last month, the online price of a powered ride-on car was $250. This month, the online price is $330. What is the percent of increase in the price of the car? Round the percent to the nearest tenth if necessary.
%
Answer:
its 32%
Step-by-step explanation:
The percentage increase in the price of the car is 32%.
Given,
Last month, the online price of a powered ride-on car was $250.
This month, the online price is $330.
We need to find what is the percentage of the increase in the price of the car.
Round the percent to the nearest tenth if necessary.
What is the percentage increase formula?The formula used to find the percentage increase is given by:
= [(Final amount - Initial amount) / Initial amount] x 100
We have,
Initial price = $250
Final price = $330
The percentage increase:
= [($330 - $250) / $250] x 100
= [80 / 250] x 100
= [8/25] x 100
= 8 x 4
= 32%
This means a 32% increase in the price of the car.
Thus the percentage increase in the price of the car is 32%.
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What is the slope of L=70-14t
Answer: m=-14
Step-by-step explanation: Use the slope-intercept form y=mx+b to find the slope m.
Graph down below.
I hope this helps you out. If not, I am so sorry.
Find the value of x in the isosceles triangle shown below.
Answer:
D) x=6
Step-by-step explanation:
8/2=4
4²+x²=(√52)²
16+x²=52
x²=52-16
x²=36
x=√36
x=6
Can some one plz help me with this
Answer:
its B
Step-by-step explanation:
ITS BFind the absolute value of the number below.
Use the math keyboard to enter your answer.
-58
Answer:
|-58| = 58
Step-by-step explanation:
The distance from 58 to 0 is still 58, regardless of it being negative
One of the dog treats in Shelley’s shop is 8 inches long and 3.2 inches wide. She was to make a miniature version that has reportional dimensions. If the miniature treat will be 3 inches long, wide should it be?
1.2 inches
1.8inches
2.3inches
3.2 inches
Answer:
1.2
Step-by-step explanation:
I did the teat and it was correct on
Answer:
(1) 1.2 inches
Solve with the cross multiplying
A.) X/25 = 24/100
X=
B.) X/44= 75/100
X=
Answer:
A) X= 6
B) X = 33
Step-by-step explanation:
find the coefficient of
a^3
Answer:
1
Step-by-step explanation:
1 is answer.it may help you to understand.
A stone has a density of 38 g/mL and a volume of 0.2 L, what is the mass?
Answer:
The mass is 7600 g
Step-by-step explanation:
0.2 L = 200 mL
density = mass/volume
38= x/ 200
x= 7600 g
can you make this into a word problem! thank you!
s(t) = displacement with respect to time s(t) = 2t^2 + 4t^(1/4)+20 v(t) 4t + t^(-3/4) a(t) = 4 -3/4t^(1/2) If given s(t) = 2t^2 + 4t^(1/4)+20 what is the v(t) and a(t)?
Answer:
you need to simplify it then you can say that he had marbles and then lost __ then got ___
The school nutritionist is ordering apples for school lunches. The price for six crates of apples delivered to the school is $82. The price for 11 crates is
$137. By how much does the cost increase for each additional crate of apples purchased?
O $5
O $55
O $11
O $27
Answer:
The price increase is $11 per crate
Step-by-step explanation:
We have two points
( 6, 82) and ( 11 ,137)
Find the rate change
m = ( y2-y1)/ (x2-x1)
= ( 137-82)/ (11-6)
=55/5
= 11
The price increase is $11 per crate
b) Write 25x10^6 in standard form.
Answer:
25x10^6 = 25,000,000
[tex] [/tex]
i’m not sure how to solve this
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{4}{3}[/tex] x + [tex]\frac{5}{3}[/tex] ← is in slope- intercept form
with slope m = [tex]\frac{4}{3}[/tex]
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 8 = [tex]\frac{4}{3}[/tex] (x + 6) ← is in point- slope form
with slope m = [tex]\frac{4}{3}[/tex]
Parallel lines have equal slopes, thus
The 2 given lines are Parallel
The answer is:
B- Distinct Parallel Lines (DPL)
A man takes a renovation loan of $28 800 for 4 years at 3.75% per annum. (a) Find the simple interest payable. (b) Find the monthly repayment.
To find the simple interest payable, we can use the formula:
Simple Interest = Principal × Rate × Time
where:
Principal = $28,800
Rate = 3.75% per annum (expressed as a decimal, so 3.75% = 0.0375)
Time = 4 years
(a) The simple interest payable is $4,320.
Simple Interest payable:
Simple Interest = $28,800 × 0.0375 × 4
Simple Interest = $4,320
Therefore, the simple interest payable is $4,320.
(b) The monthly repayment amount is approximately $690.
To find the monthly repayment, we need to calculate the total amount to be repaid and then divide it by the number of months in the loan term.
Total amount to be repaid = Principal + Simple Interest
Total amount to be repaid = $28,800 + $4,320
Total amount to be repaid = $33,120
The loan term is 4 years, which is equivalent to 4 × 12 = 48 months.
Monthly repayment = Total amount to be repaid / Number of months
Monthly repayment = $33,120 / 48
Monthly repayment ≈ $690
Therefore, the monthly repayment amount is approximately $690.
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What is the reciprocal of the sum of a half, a third, and a fourth?
Answer
12/13
Step-by-step explanation:
1/2+1/3+1/4=?
6/12+4/12+3/12=?
13/12
Reciprocal is 12/13
12/13 is your answer.
Rewrite in simplest terms: –6(–3p + 6) + 3(-8p+5)
-5x + 6 less than 21
Answer:
x > -3
Step-by-step explanation:
Step 1: Write inequality
-5x + 6 < 21
Step 2: Solve for x
Subtract 6 on both sides: -5x < 15Divide both sides by -5: x > -3help on number 7 and 8 please
Answer:
7. $3450
8. $10300
Hope this helps.
PLZZZ HELP i need an answer for this in like the next 8 minutes or i will fail plz help
Answer:
is this a test?
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
What is the inverse of f(x) =1/3x+2?
Answer:
f-1 (the -1 is the power of f') (x)=3x-6
Step-by-step explanation:
f (x) = 1/3x+2 use substitution
y = 1/3x +2 Interchange the variables
x = 1/3y +2 swap the sides
1/3y +2 = x multiply both sides
y + 6 =3x Move the constant to the right
y = 3x - 6 Use substitution
Answer: h(x)=3x-6
Step-by-step explanation:
is -4.23 a rational number
Answer:
no
Step-by-step explanation:
Expand and simplify.
7(x - 2) – 2(x - 3)
Answer:
5x-8
Step-by-step explanation:
first, let's distribute inside the parentheses.
7(x-2)
7x-14
-2(x-3)
-2x+6
let's put these expanded forms together.
7x-14-2x+6
combine like terms
5x-8
there's your answer!
can someone help me understand 4(7s+10)
Answer:
28s + 40
Step-by-step explanation:
Distribute 4 to 7s and 10. You will get 28s and 40.
Answer:
28s+14
42s
Step-by-step explanation:
distributive property
the first bike, but spent 5 hours on the second. They have 6 more bikes to do. Determine approximately how much time will be (was) required for: a) The 1st unit = hours (round your response to two decimal places). b) The 8th unit = hours (round your response to two decimal places). c) The total amount of hours to build the 8 units = hours (round your response to two decimal places).
The time required for the first unit is "x" hours, the time required for the eighth unit is "x + 35" hours, and the total amount of time required for building the eight units is "8x + 140" hours.
To determine the approximate amount of time required for building the remaining bikes, we need to consider the time spent on the first and second bikes as well as the number of remaining bikes. Let's denote the time required for building the first bike as "x" hours and the time required for building the second bike as "5" hours.
(a) To find the approximate time required for building the first unit, we already know that "x" hours spent on it.
(b) For the eighth unit, we can observe that a pattern is emerging. The time required for each unit is increasing by 5 hours. Therefore, for the eighth unit, we can calculate the time as follows:
Time for the eighth unit = Time for the first unit + (7 * 5) hours = x + 35 hours.
(c) To find the total amount of time required for building the eight units, we need to sum up the time required for each unit. Since each subsequent unit takes 5 hours longer than the previous one, we can use the arithmetic series formula to calculate the sum:
Total time for eight units = (Number of units / 2) * (Time for the first unit + Time for the last unit)
= (8 / 2) * (x + (x + 35))
= 4 * (2x + 35)
= 8x + 140 hours.
In summary, the time required for the first unit is "x" hours, the time required for the eighth unit is "x + 35" hours, and the total amount of time required for building the eight units is "8x + 140" hours.
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