Answer:
you're answer will be 2 hours and 30 minutes
Step-by-step explanation:
i hope that helps you! :))
7. There are 7 pairs of green socks, 6 pairs of white socks, 5 pairs of red socks and 4 pairs of blue socks. One person is asked to close his eyes, and draw the socks 1 pair at a time. At least how many pairs of socks should be drawn so that among the drawn socks, 4 pairs of those have the same color?
Answer:
13
Step-by-step explanation:
We can think of this as drawing 3 pairs of each color, and then the next pair will guarantee we have 4 of one color.
This is 3(4)+1=13 pairs.
Step-by-step explanation:
let me see, if I understand this right.
7 pairs of green socks = 14 green socks.
6 pairs of white socks = 12 white socks.
5 pairs of red socks = 10 red socks.
4 pairs of blue socks = 8 blue socks.
in total : 44 socks (or 22 pairs).
the person is pulling socks always 2 at a time. but each sock can be any color.
or are the pairs still connected, and each draw pulls a pair of equal socks ?
and then the question also really is, what is meant by 4 pairs have the same color ? that i find 4 groups of 2 socks each with the save color inside the group (making them pairs), or truly 4 pairs with the same color (e.g. 4 red pairs, or 4 green pairs) ?
if the pairs are still connected, only the second question makes sense.
the worst that can happen in that scenario is drawing
3 pairs of blue socks.
3 pairs of red socks.
3 pairs of white socks.
3 pairs of green socks.
this now like in Baseball : the bases are loaded. any additional runner will cause a score.
because any additional draw must complete one of the groups of 4 pairs.
so, latest after the 4×3 = 12 draws, we get a 13th draw. that gives us 4 equally colored pairs of socks for sure.
so, we need 13 draws.
if each sock is in there individually, and we still want to have 4 pairs of socks all with the same color, then it starts similarly :
the socks get pulled 2 by 2 but that means each drawn pair can have different colors of the individual socks.
in the worst case after drawing 24 socks (12 groups of 2 socks), we have the same situation as in the previous case.
but now, pulling 2 more socks does not guarantee a full set of 4 pairs. we could get 2 different socks that add only half a pair to 2 color groups.
the same with the next pulled group of 2. they fill up the other 2 color groups with half-pairs.
but now the base are loaded. by pulling the next (3rd) additional group of 4, we complete at least one color group with 4 full pairs.
so, we need 12 + 3 = 15 draws to make absolutely sure.
now, if we have individual socks, and want to get 4 pairs of socks that have just the same color inside their pair, we need to think a little bit differently.
after 2 draws (4 socks) we have in the worst case 4 individual socks with different colors.
after the next 2 draws we can be already lucky, but in the worst case we are not but have now either 2.5 full pairs of one color and 3 individual socks, or 2 full pairs in one color, 1 full pair in a second color, and 2 individual socks, or 1.5 pairs in one color, 2×1 full pairs in 2 other colors, and 1 individual sock.
with the next draw in the worst case we could only extend the second case and get 2.5 pairs in one color, 1.5 pairs in the second color and still 2 individual socks.
but now the bases are loaded, and the next draw of 2 socks guarantees that we have 4 real pairs of socks (either 3 and 1 and still 2 individual socks, or 3 and 2 pairs and 2 individual socks, or 2 and 2×1 and wherever the second sock goes, it does not matter, or any other combination where at least one of the individual socks have been combined to a pair.
so, we need
2+2+1+1 = 6 draws.
11. A trader bought 2 cows and 9 goats for a total of ksh. 98 200. If she had bought 3 cows and 4 goats, she would have spent ksh. 2200 less a) Taking C to be the number of cows and G to be the number of goats, form two equations to represent the above information. b) use substitution method to represent the above information
By using subtraction method we get 55.157.8987
What is subtraction method?
In mathematics, subtraction refers to the act of removing something from a set of related objects or numbers. What is left in the group decreases as a result of subtraction.
Let cost of each cow=x
cost of each goat =y
Given 2x+9y=98200------------(equation 1)
9y=98200-2×Y=98200-2x/9-----------(equation 2)
Also 3x+4y= 9800+2200
3x+4y=1004004y=100,
400-3xY=100400-3x/4---------(equation 3)
From equation 2 and 3 we get
Y=Y98200-2x/9
=100400-3x/4
=196,400-8x
=301200-27x
=19x
=104,800
=x=55.157.8987
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What is the converse of the following conditional statement?
"If it is sunny, then it is 80° Fahrenheit."
Determine the validity of the converse and give a counterexample if the converse is not valid.
If it is sunny, then it is 80° Fahrenheit. The converse is valid.
If it is 80° Fahrenheit, then it is sunny. The converse is valid.
If it is not sunny, then it is not 80° Fahrenheit. The converse is invalid; a counterexample is a day that is not 80° Fahrenheit and not sunny.
If it is 80° Fahrenheit, then it is sunny; The converse is invalid; a counterexample is a day that is 80° and cloudy.
The converse of the conditional statement "If it is sunny, then it is 80° Fahrenheit." is "If it is 80° Fahrenheit, then it is sunny".
Given the conditional statement "If it is sunny, then it is 80° Fahrenheit."
and asked for the converse statement if it exists
converse:
A statement's converse is formed by switching the hypothesis and conclusion. "If two lines do not intersect, they are parallel," is the converse of "If two lines intersect, they are parallel." "If p, then q" is the converse of "if q, then p."
Therefore, the converse of conditional statement is "If it is sunny, then it is 80° Fahrenheit."
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Answer: A: If it is sunny, then it is 80° Fahrenheit. The converse is valid.
Step-by-step explanation: Hope that helped!
The length of a rectangular garden is 10 feet longer than its width. The garden's perimeter is 188 feet. Find the width of the garden.
Answer: width of the garden is 42
Step-by-step explanation:
let's say "x" = the garden's length
and "y" = the garden's width
the length of the garden is 10 feet longer than its width
x-10=y
the garden's perimeter is 188 feet
we can set up a new equation like this:
2x+2y=188
now we have two equations and we can solve using the system of equations.
x-10=y
add 10 on both sides to isolate "x"
x=y+10
2x+2y=188
substitue x for y+10 in the second equation
2(y+10)+2y=188
expand
2y+20+2y=188
combine like terms
4y+20=188
subtract 20 from both sides
4y=168
divide by four on both sides
y=42
the width of the garden is 42 feet
How do I graph this line with slope of 1/3 passing through the point (-1, -1)
Answer: See attached
Step-by-step explanation:
What is the area, in square units, of the parallelogram shown below? D A 7 units C H5 units O 20 square units O 25 square units 30 square units O 35 square units B
Answer: The answer is C
Step-by-step explanation:
They wrote the model `n=40\cdot1.5^{t}` , where `n` is the total number of squirrels and `t` is the number of years since the biologists started counting. How many squirrels do the biologists predict there will be `2` years after they started counting
The number of squirrels that the biologists predict there will be 2 years after they started counting will be 43 squirrels.
How to illustrate the information?It should be noted that a function is used to show the relationship between the variables.
It should be noted that the function that's given is illustrated as:
n = 40 + 1.5t
In this case, it should be noted that t = 2 years.
Therefore, the number of squirrels that the biologists predict there will be 3 years after they started counting will be:
n = 40 + 1.5t
n = 40 + 1.5(2)
n = 40 + 4
n = 43
Therefore, the number of squirrels that the biologists predict there will be 2 years after they started counting will be 43 squirrels.
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A mural measures 95 feet long by 285 feet high. Find the ratio of the height to the perimeter of this mural.
The ratio of the height to the perimeter of this mural 57 : 152.
We are given that:
Length = 135 feet
height = 285 feet
Mural is of a rectangular shape
We will first find the perimeter.
Perimeter = 2(l + w)
Perimeter = 2(95 + 285)
Perimeter = 2(380)
Perimeter = 760 feet
We will now find the ratio of the height to the perimeter of this mural.
Height : perimeter = 285 : 760
Reduce to lowest terms
Height : perimeter = 57 : 152
Therefore, we get that, the ratio of the height to the perimeter of this mural 57 : 152.
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Use properties of exponents and logarithms to evaluate the expression as a rational number.
y= 1/16 is the solution of the equation where y is [tex]e^{-2ln4}[/tex]
The expression is given to be [tex]e^{-2ln4}[/tex]
The formula is given to be [tex]e^{lnx} =x\\[/tex]
also it is given that ln[tex]e^{x}[/tex]=x
Now to find and evaluate [tex]e^{-2ln4}[/tex]
let y=[tex]e^{-2ln4}[/tex]
taking ln both sides,
ln y = ln[tex]e^{-2ln4}[/tex]
ln y= -2 ln4
ln y= ln 4^-2
Removing ln from both sides,
y = 4^-2
y=1/16
Thus , y= 1/16 is the solution of the equation
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Complete the problems. Find the a) employee’s total annual contribution, and b) employee’s monthly deduction. 1. Dorsey Williams has a single plan. His PPO annual premium is $4,325. His employer pays 65%
Employee’s total annual contribution is $1513.75
And, Employee’s monthly deduction is $126.15
Here,
Dorsey Williams has a single plan.
And, His PPO annual premium is $4,325.
His employer pays 65%.
We have to find the Employee’s total annual contribution.
And, Employee’s monthly deduction.
What is Annual contribution?
The amount credited to Account balance after the end of each Plan Year for which the Performance Goals are achieved is called Annual contribution.
Now,
His PPO annual premium is $4,325.
And, His employer pays 65%
Hence,
Employee’s total annual contribution = 4,325 (1 - 65%)
= 4,325 (35%)
= 4,325 x 35/100
= 1513.75
And, Employee’s monthly deduction = 1513.75 ÷ 12 = 126.15
Therefore, Employee’s total annual contribution is $1513.75
And, Employee’s monthly deduction is $126.15
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Landon was making snacks for his family for the week. He used 25/35 of a pound of peanuts. Additionally he use 1/7 of a pound of almonds. At the end of the week, he determined that 3/5 of the snacks were leftover. At the end of the week, how much snacks, in pounds, was used?
Landon used an amount of 4 / 7 of a pound of snacks for his family of the week.
How to estimate the amount of snacks spent per week
In this problem we must determine the total amount of snacks used by Landon in a period of a week, which is found by the summing fractions. Then, we must solve the following linear equation:
(3 / 5) · x = x - 25 / 35 - 1 / 7
(3 / 5) · x = x - 25 / 35 - 5 / 35
(3 / 5) · x = x - 20 / 35
x - (3 / 5) · x = 20 / 35
(2 / 5) · x = 20 / 35
7 · x = 10
x = 10 / 7
And the amount of snack used is determined by the following subtraction:
z = (2 / 5) · (10 / 7)
z = 20 /35
z = 4 / 7
Landon used an amount of 4 / 7 of a pound of snacks for his family of the week.
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an angle measures 85.2 less then the measure of its supplemetary angle . what is the measure of the angle
Answer:
94.8
Step-by-step explanation:
supplementary angle = 180°
180 - 85.2 = 94.8
Answer: 47.4 degrees
Step-by-step explanation:
A=measure of angle
S=Angle A's supplementary angle
Supplementary Angle=180 degrees
A+85.2=S
A+S=180
A+A+85.2=180
2A+85.2=180.0
2A=94.8
A=47.4 degrees
In the Student Shoppe, Jackie spent $1 less than twice what Gail spent. If together they spent $11, find the amount of money Gail spent.
Answer:
Gail spent $4 and Jackie spent $7
Step-by-step explanation:
Let j = Jackie
Let g - Gail
j = 2g -1 j + g = 11
substitute 2g - 1 for j in the second equation
j + g = 11
2g - 1 +g =11 Combine the g's
3g -1 = 11 Add 1 to both sides of the equation
3g = 12 Divide both sides by 3
g = 4
Plug 4 in for g to find j
j = 2g -1
j = 2(4) -1
j = 8 -1
j = 7
PLEASE HELP!!! BRAINLIEST TO WHOEVER IS FIRST!
Answer:
It's the first one: 7 to the fourth over 3 to the tenth.
Step-by-step explanation:
Answer:
I think it is the first one
Step-by-step explanation:
Which expression shows that 11 + 7 = 5 + 13? A. (5 + 6) + 7 = 5 + (6 + 7) B. 6 + 6 + 6 = 18 C. 5 + 9 + 4 = 6 + 7 + 5 D. (11 + 4) + 3 = (5 + 7) + 6 Please select the best answer from the choices provided A B C D
Answer:
A? maybe because its (5 +6)+7=5
hope it will help
Answer:
The answer is A.
Step-by-step explanation:
a+b=c+d
Given the expression,
11 + 7 = 5 + 13, where a= 11
b= 7
c= 5
d= 13
From the options, taking option A:
(5 + 6) + 7 = 5 + (6 + 7)
5 + 6= 11= a
7 = 7= b
5 = 5= c
6 + 7 = 13= d
Therefore from the comparison above, we can see that option A is the best form of expression that correctly interpretes the given expression
I started golfing again recently and I've played 5 rounds of golf with the following scores: 92, 88, 85, 90, and 89. What score would I need the next time I play to have an average below 88.
The next score should by less than 84 to have an average below 88.
What is an average?The term average is the sum of all the numbers divided by the total number of values in the set.
Mathematically,
Average = Sum of the observations/number of observations
Now given that,
Scores = 92, 88, 85, 90, and 89
Rounds = 5
Let x be the score the score for next round or sixth round.
So, According to question,
Average < 88
So, Average = Sum of the scores/number of rounds
⇒ Average = (92 + 88 + 85 + 90 + 89 + x)/6
⇒ Average = (444 + x)/6
⇒ (444 + x)/6 < 88
⇒ (444 + x) < 528
⇒ x < 528 - 444
⇒ x < 84
Thus, the next score should by less than 84 to have an average below 88.
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Help with this Problem
Answer:
Step-by-step explanation:
not sure 6
What is the distance between (4, 2) and (8, 5)
The distance between (4, 2) and (8, 5) is 5 units.
The distance between two given points can be calculated using the following formula :
Distance, D = [ ( x2 - x1 )^2 + ( y2 - y1 )^2 ]^1/2
Coordinates of point A = (4,2)
Coordinates of point B = (8,5)
For the above mentioned formula, we get
x1 = 4
x2 = 8
y1 = 2
y2 = 5
Substituting these values in the distance formula, we get
D = [ ( 8 - 4 )^2 + ( 5 - 2 )^2 ]^1/2
=> D = [ ( 4 )^2 + ( 3 )^2 ]^1/2
=> D = [ 16 + 9 ]^1/2
=> D = [25]^1/2
=> D = 5
Therefore, using the distance formula, we get the distance between (4, 2) and (8, 5) as 5 units.
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-4x^2 +2x-5(1+x)
What expression is equivalent to the given expression?
Blank x^2+Blank x+Blank
The expression -4x² + 2x - 5(1 + x) is equivalent to the expression - (4x² + 3x + 5).
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
The quadratic expression is given below.
⇒ -4x² + 2x - 5(1 + x)
Simplify the expression, then the expression will be given as,
⇒ -4x² + 2x - 5(1 + x)
⇒ -4x² + 2x - 5 - 5x
⇒ -4x² - 3x - 5
⇒ - (4x² + 3x + 5)
The expression -4x² + 2x - 5(1 + x) is equivalent to the expression - (4x² + 3x + 5).
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What number makes the
equation true?
23+5= + 18
the number that makes it correct is 10
let's write it like this
23+5=x+18
28=x+18
you would subtract 18 from each side to get x
28-18=10
18-18=0
x=10
O-7
O-1
07
O 20
What is the value of the expression below?
(9+3)+4(6-7)
Answer:
8
Step-by-step explanation:
Order of Operations:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Parentheses First:
(9 + 3) = 12 and (6 - 7) = -1
12 + 4(-1) = 12 + (-4) = 8
Hey there!
(9 + 3) + 4(6 - 7)
= 9 + 3 + 4(6) + 4(-7)
= 9 + 3 + 24 - 28
= 12 + 24 - 28
= 36 - 28
= 8
Therefore, your answer should be:
8
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
I’ll give points + brainalist!!
Answer:
-8, -7, -5, -4, or 0
Step-by-step explanation:
[tex]\frac{q}{-4} \geq 2[/tex]
[tex]q\geq -8[/tex]
Therefore q has to be greater than or equal to -8.
So q has to be -8, -7, -5, -4, or 0 in the given values.
The equivalent inequality is [tex]q\geq -8[/tex].
If this was helpful pls give me brainliest <3
Divide each number by -4 and if it is greater than 2 then it is on the correct side! For example: -16 Divide it by -4 which is positive 4. And Positive 4 is greater than 2.
4 > 2 (THE REST OF THE ANSWERS I SOLVED LIKE THIS ARE BELOW)
✔ ❌
-16 -5
-9 -8
-12 -4
-11 -7
0
I TRIED VERY HARD AND WOULD LIKE BRAINLIEST 5 OR AT LEAST 4 STARS AND A CLICK ON THE THANKS!
priya and tyler are discusising the figures shown below . priya thinks that b,c and d are scaled
For the given figures, both Priya and Tyler's opinions are incorrect.
What is meant by scale factor/scaling?Scaling is the process of measuring as well as assigning numbers to objects according to predefined rules.
Scaling is the process of locating the measured items on the continuum, an ongoing sequence of numbers with which the objects are assigned.
As, for the given question;
Figure D is the sole shape that can be considered a scaled replica of Figure A. This is due to the observation that all segments in figure D are times 2 of the correlating segments in figure A.When we compare figure B and C to figure A, we see that not all of their segments are twice as long as the correlating segments in figure A.As a result, both Priya as well as Tyler are incorrect. None of them are acceptable to us.
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The complete question is-
Priya and Tyler are discussing the figures shown below. Priya thinks that B, C, and D are scaled copies of A. Tyler says B and D are scaled copies of A. Do you agree with Priya, or do you agree with Tyler? Explain your reasoning.
The table below shows a student's quiz scores on six quizzes.
Scores
15
9
8
13
10
11
Find this student's median quiz score
A zoo orders food in bulk for its animals. They order enough fresh fruit to last 10 days, enough fresh vegetables for 7 days, and enough dried insects for 5 days. If they last ordered fresh fruit, fresh vegetables, and dried insects on January 1, in how many days will they need to order all three items on the same day?
Answer:
350
Step-by-step explanation:
Answer:
70 days
Step-by-step explanation:
Given that,
→ fresh fruit to last 10 days
→ fresh vegetables for 7 days
→ dried insects for 5 days
Then in how many days will they order all three items on the same day?
Then the LCM of 10, 7 & 5 is,
→ 2 × 5 × 7
→ 10 × 7 = 70
Hence, the answer is 70 days.
Bill's school is selling tickets to a fall musical.
On the first day of ticket sales the school sold 1 adult ticket
and 6 child tickets for a total of $52.
The school took in $66 on the second day by selling 1 adult
ticket and 8 child tickets.
Find the price of an adult ticket.
•$3
•$10
•$7
•$9
By solving a system of equations, we can see that the adult ticket costs $10.
How to find the price of the adult ticket?
Let's define the two variables:
x = price of the adult ticket.y = price of the child ticket.With the given information, we can write a system of equations:
1*x + 6*y = $52
1*x + 8*y = $66
By taking the difference between the two equations we get:
(1*x + 8*y) - (1*x + 6*y) = $66 - $52
2y = $14
y = $14/2 = $7
Now that we know the value of y, we can find the value of x.
Replacing the value of y in the first equation we get:
1*x + 6*$7 = $52
x = $52 - 6*$7 = $10
With this, we know that the adult ticket costs $10.
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1. Jon waits on tables and is paid $6.75an hour. In a 40-hour period, he earned $310.50 in tips. What were his total earnings?
Answer:
$617.25
Step-by-step explanation:
$617.25 Because, $310.50(tips) + $306.75(hourly wage)=$617.25
Answer:$580.50
Step-by-step explanation:
:)
Which expression is equivalent to w + 8w + 2?
a. 11w
b. w + 10
c. 2 + 9w
d. -5w
Answer:
[tex] = 2 + w + 8w \\ = 2 + 9w[/tex]
option C is the solution
Answer:
C. 2+9w
Step-by-step explanation:
Combine Like Terms:
=w+8w+2
=(w+8w)+(2)
=9w+2
Evan's calculator shows 137.2582774 as the volume of his soccer ball. Evan measure the radius of the ball to be 3.2 inches. Determine to what place the rounding of the volume should oceur and give the rounded answer.
Answer:
Answer is 137.3
Step-by-step explanation:
Since there is one significant digit after decimal, i.e. 2
Therefore, the answer should be rounded off to the nearest tenths digit.
h is a trigonometric function of the form h(x) = a sin(bx + c) + d.
Below is the graph h(x). The function intersects its midline at (-4pi,2.5) and has a maximum
point at(-5pi/2,6)
Find a formula for h(x). Give an exact expression.
The expression acquired is h(x) = 3.5 sin(1/3x ₊ 4π/3)₊2.5
Given h(x) = a sin(bx ₊ c) ₊ d
The h(x) function intersects its mid line at (₋4π , 2.5)
and has its maximum points at (₋5π/2 , 6)
therefore, x₂ ₋ x₁ = ₋5π/2 ₋ (₋4π)
= ₋5π/2 ₊ 4π
= 3π/2
⇒ 2π/b = 3π/2 4
⇒ 2π/b = 6π
⇒b = 1/3
hence, a = b ₋ 2.5
a = 3.5
now h(x) = 3.5 sin(1/3x ₊ c) ₊ 2.5
x = ₋4π
h(₋4π) = 3.5 sin( ₋4π/3 ₊ c) ₊ 2.5
₋4π/3 ₊ c = 0
c = 4π/3
therefore, h(x) = 3.5 sin(1/3x ₊ 4π/3)₊2.5
hence after solving the equation we get the expression for h(x) as
h(x) = 3.5 sin(1/3x ₊ 4π/3)₊2.5
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