Answer: 490
Step-by-step explanation: 87+17+60+326 = 490
A penguin walks 10 feet in 6 seconds. At this speed:
How far does the penguin walk in 45 seconds?
How long does it take the penguin to walk 45 feet?
Explain or show your reasoning.
75 feet the penguin walk in 45 seconds and in 27 seconds the penguin walk 45 feet.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
penguin walks 10 feet in 6 seconds
At the same rate we need to find the distance walked by penguin in 45 seconds
Let x be the distance travelled by penguin in 45 seconds
10/6=x/45
Apply cross multiplication
45(10)=6x
450=6x
Divide both sides by 6
x=75
So 75 feet the penguin walk in 45 seconds.
Now let us find how long it takes for penguin to walk 45 feet.
Let x be the time
10/6=45/x
Apply cross multiplication
10x=270
Divide both sides by 10
x=27
In 27 seconds the penguin walk 45 feet.
Hence, 75 feet the penguin walk in 45 seconds and in 27 seconds the penguin walk 45 feet.
To learn more on Ratios click:
https://brainly.com/question/13419413
#SPJ2
What value of x is in the solution set of -2(3x + 2) > -8x + 6?
Answer:
The answer is 6
Step-by-step explanation:
Answer on Edgenuity
The function m = 30 - 3r represents the amount m (in dollars) of money you have after renting r video games. What is the range of the function?
what is continuous function
Answer:
A function is continuous when its graph is a single unbroken curve ... ... that you could draw without lifting your pen from the paper. That is not a formal definition, but it helps you understand the idea.
Step-by-step explanation:
hope this helps ya
What is the volumn of a shoe box that is 15 x 10 x 8 =
Answer:
12 inches
Step-by-step explanation:
[tex]1200^{3}[/tex] units
15 * 10 * 8 = 1200
How do you do this 10 8/9+ 2 5/8+ 16 2/9+ 5 7/8=
Answer:
first u find a common denominator for all of them and then add them all together
Step-by-step explanation:
I really do hope this helps!!!
Answer:
35.61
Step-by-step explanation:
Add 10 +2+16+5= 33
Then add 5/8+7/8= 1.5
Then add 8/9+2/9= 1.1
Then add 33+1.5+1.1= 35.61
Mark me as Brainliest.
d = rt, for r
Someone please help me out?
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
All you have to do is divide the t on both sides and you'll get...
[tex]r=\frac{d}{t}[/tex]
What is 17/5 as a mixed number in simplest form?
Answer:
3 2/5
Step-by-step explanation:
PLEASE HELP THIS IS MY LAST QUESTION!!
The management at a factory had determined that a worker can produce a maximum of 30 units per day. The model y=30-30e^-0..7t indicates the number of y units that a nee employee can produce per day after t days on the job. How many units can be produced per day by an employee who has been on the job 8 days ? Round your answer to the nearest whole number
the answer is 1 unit
that's the answer
Analyze tables use the table that shows the percents of blood types of 145 donors during a recent blood drive
a. find how many donors had type b blood. Round to the nearest whole number if necessary ____
b. How many donors did not have type O blood? Round to the nearest whole number if necessary ____
c. Which blood type has less than 10 donors?
blood type percent
O 45
A 40
B 11
AB. 4
Answer:
a. 16
b. 80
c. Blood type AB
Step-by-step explanation:
Given:
O = 45%
A = 40%
B = 11%
AB = 4%
Total number of donors = 145
a. No. of donors that had type B blood = [tex] \frac{11}{100}*145 = \frac{1,595}{100} = 15.95 [/tex]
Type B blood donors ≈ 16
b. No. of blood donors without blood type O = [tex] \frac{40 + 11 + 4}{100}*145 = \frac{55}{100}*145 = \frac{7,975}{100} = 79.75 [/tex]
Those without blood type O ≈ 80
c. Find the number of people that had type AB:
Type AB = [tex] \frac{4}{100}*145 = 5.8 [/tex] ≈ 6. This is less than 10 donors.
Therefore, blood type AB had less than 10 donors.
What quadrant would be ordered pair (-4,-6) fall in?
Find the missing side of the triangle !!!
HELP MEEE!!!!!!!!!!!!!!
Can someone solve this???
Answer:
1. a)x² + y² = 29 ------------------(1)
y² - x² = 23 ----------------(2)
y² = 23 + x²
Using the value of y² in the first equation:
x² + y² = 29
x² + (23 + x²) = 29
2x² = 6
x² = 3
x = √3
Using the value of x in equation (2)
y² - x² = 23
y² - 3 = 23
y² = 26
y = √26 and x = √3
b) ( 1 - 12x) / 3 < 0 = 1-12x < 0 = x > 1 / 12
(1-x) / 2 ≤ (3-x) 3 = 3 - 3x ≤ 6 - 2x = -3 ≤ x
In these 2 equations, the value of x will be the values of x common to both the inequalities
Since the second equation starts at a much lower value than the first equation, and they are both going up, all the values for the first equation will also stand for the second equation
Hence, the value of x for the given system of equations is
x > 1/12
2.
3x² - 7x + 2 ≥ 0
3x² -6x -1x + 2 ≥ 0 (splitting the middle term)
3x(x - 2) -(x - 2) ≥ 0
(3x - 1)(x-2) ≥ 0
(3x-1) ≥ 0 or (x-2) ≥ 0
x ≥ 1/3 or x ≥ 2
Written above are the 2 solutions for the given equation
4.
We are given that Sin α = (2√3) / 3 or 2/√3
According to the pythagorean law:
sin²α + cos²α = 1
4 / 3 + cos²α = 1
cos²α = (3-4)/3
cos²α = -1/3
cos α = √(-1/3) or i / √3 since √-1 is also known as i
Cosec α = 1/ Sin α
Cosec α = 1 / (2/√3)
Cosec α = √3 / 2
Sec α = 1 / cos α
Sec α = 1 / √(-1/3)
Sec α = (√3) / (√-1)
Since (√-1) is also known as i , we can write this as:
Sec α = (√3) / i
Tan α = Sin α / Cos α
Tan α = (2√3 / 3) / (i / √3)
Tan α = (2√3 * √3) / 3 * i)
Tan α = 2 / i
Cot α = 1/Tan α
Cot α = 1 / (2 / i)
Cot α = i / 2
Decide whether the given statement is true or false.
7€ {4, 1, 6, 9)
Choose the correct answer below.
True
False
Answer:
esta Frase es correcta se a los amigos de mis Padres true false
Can someone help me figure out this
Answer:
YES
Step-by-step explanation:
The criterion for formation of a triangle is that the sum of any 2 sides should be greater than or equal to the third side
So, we will test it for all 3 sides
7.4 + 12.5 ≥ 19.9
TRUE
12.5 + 19.9 ≥ 7.4
TRUE
7.4 + 19.9 ≥ 12.5
TRUE
Therefore, the segments with the sides: 7.4 , 12.5 and 19.9 do form a triangle
Answer:
YES
Step-by-step explanation:
Please help me, answer in this format
6 - 4x = 6x - 8x + 2
6 - 4x = ___ + 2
6 = ___ + 2
___ = ___
___ = x
Answer:
6 − 4 x = 6 x − 8 x − 2 Since x
is on the right side of the equation, switch the sides so it is on the left side of the equation.
6 x − 8 x − 2 = 6− 4 x Subtract 8 x from 6 x . − 2 x − 2 = 6 − 4 x
Move all terms containing x
to the left side of the equation.
Tap for fewer steps...
Add 4 x
to both sides of the equation.
− 2 x − 2 + 4 x = 6 Add − 2 x and 4 x . 2 x − 2 = 6
Move all terms not containing
x to the right side of the equation.
Tap for fewer steps...
Add 2
to both sides of the equation.
2 x = 6 + 2 Add 6 and 2 . 2 x = 8
Divide each term by
2 and simplify.
Tap for fewer steps...
Divide each term in
2 x = 8 by 2 . 2 x 2 = 8 2 Cancel the common factor of
2 . Tap for more steps...
x = 8 2 Divide 8 by 2 .
x = 4
Which statements about geometric sequences are correct? Check all that apply. In a geometric sequence, the ratio between each of the consecutive terms is the same, or constant.
Multiply the common ratio by the last term to extend a geometric sequence.
The sequence 2, 8, 32, 128, . . . is geometric.
The sequence 5, 10, 15, 20, . . . is geometric.
The sequence 3, 18, 108, 648, . . . is geometric.
Answer:
1,2,3,5
Step-by-step explanation:
solve each inequality and graph the solutions , ILL MARK BRAINLIST !!!!
Answer:
see below
Step-by-step explanation:
2d+21 ≤11
Subtract 21
2d+21-21 ≤11 -21
2d ≤-10
Divide by 2
2d/2 ≤-10/2
d≤-5
if ta=16 & mh= 18 what is the lenth of mr?
Answer:
the length of MR = 9
Step-by-step explanation:
Looking at the figure, we can tell that segment TR is congruent to segment RA, meaning TR has equal length to RA and the same goes to MR and RH. Since the problem gives us the total length of line TA and line MH, we can say that the length of MR is half of the total length of MH. Therefore, length of MR is 9.
To buy a car, you borrow $25,000 with a term of three years at an APR of 6.5%. What is your monthly
payment? Show all work
Answer:
$766.23
Step-by-step explanation:
The amortization formula is appropriate for this. (Better, use a financial calculator or spreadsheet.)
A = P(r/12)/(1 -(1 +r/12)^-(12t))
where P is the amount borrowed (25,000), r is the annual rate (0.065), and t is the number of years (3).
Putting the given numbers into the formula, we have ...
A = $25,000(0.065/12)/(1 -(1 +0.065/12)^(-36))
A = $25,000(.00541667)/(1 -1.00541667^-36)
A = $25,000(0.00541667)/(0.1767322)
A = $766.23
The monthly payment is $766.23.
_____
Comment on tools
A graphing or scientific calculator is useful for these. Something like a TI-84, or any of the equivalents, will have financial calculations like this built in. There are also numerous apps available for phone or tablet that will do financial calculations.
DUE IN 10MIN HELP ME!! ;-;
Answer:
x=4
Step-by-step explanation:
the line goes through the x axis at 4
Which statement is an example of the distributive property?
O 3+ (2)(15) = 3(2) + 3(15)
3(2 + 15) = 3 + 2(3) + 15
3(2 + 15) = 3(2) + 3(15)
03(2 + 15) = 3(2) + 15
Answer:
3(2+15)= 3(2) + 3(15)
Step-by-step explanation:
Write the standard form of the equation:
Slope= 4 y- intercept= -4
A. 4x-y=4
B. 4x+y=-4
C. x+4y=-4
D. x-4y=4
Answer:
4x+y=-4
Step-by-step explanation:
Plug in the intercept after the equal sign and multiply the x coordinate by the slope
There are four $20 bills, six $10 bills, eight $5 bills, and two $1 bills in your wallet. You select one bill at random. What is the expected value for this experiment? Must be answered in terms of statistics and probability please. Thank you
Answer:
total no. of possibilities =20
Step-by-step explanation:
probability of $20 bill=4/20=1/5
probability of $10 bill=6/20=3/10
probability of $5 bill=8/20=2/5
The authors of a certain paper describe a study to evaluate the effect of mobile phone use by taxi drivers in Greece. Fifty taxi drivers drove in a driving simulator where they were following a lead car. The drivers were asked to carry on a conversation on a mobile phone while driving, and the following distance (the distance between the taxi and the lead car) was recorded. The sample mean following distance was 3.80 meters and the sample standard deviation was 1.19 meters.
Construct a 95% confidence interval (in meters) for μ, the population mean following distance while talking on a mobile phone for the population of taxi drivers. (Round your answers to three decimal places.)
Answer:
CI = (3.462, 4.138)
Step-by-step explanation:
We are given;
Sample mean; x¯ = 3.8
Sample standard deviation; s = 1.19
Sample size; n = 50
DF = n - 1 = 50 - 1 = 49
Confidence level; CL = 95%
Significance level = (1 - 0.95)/2 = 0.025
Now,from the table attached using DF = 49, significance level = 0.025, one tail and by interpolation, we have; t = 2.01
Now, formula for confidence interval is;
CI = x¯ ± t(s/√n)
CI = 3.8 ± 2.01(1.19/√50)
CI = 3.8 ± 0.338
CI = (3.8 - 0.338, 3.8 + 0.338)
CI = (3.462, 4.138)
Write the equation 2(x + 3) = 2x + 6 as a system of equations.
y =
x +
y =
x +
DONE
Answer:
y= 2x + 6
Y=2x + 6
Step-by-step explanation:
The graph of this system of equations will have two lines exactly on top of each other.
Which is a multiple of 15?
Answer:The multiples of 15 are the numbers which are n-times of 15, where n = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and so on. So, basically, multiples are n-times of any number, where n is the list of natural numbers. Thus, number 15 has multiples in the form of 15n, such that: 15 x 1 = 15
Answer:
15
Step-by-step explanation:
15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, 735,
If one order of fries and five burgers cost twice as much as three orders of fries and two burgers, how many times as much does a burger cost compared to one order of fries? to start the problem is 1f+5b=2 (3f+2b)
Answer:
A burger cost five times as much as a fries.
Step-by-step explanation:
Let F represent fries
Let b represent burgers
From the question:
An order of fries and five burger can be written as:
f + 5b
Three orders of fries and two burgers can be written as:
3f + 2b
But an order of fries and five burgers cost twice as much as three orders of fries and two burgers. This can be written as:
f + 5b = 2(3f + 2b)
Now, we shall make b the subject of the above equation. This is illustrated below:
f + 5b = 2(3f + 2b)
Clear bracket
f + 5b = 6f + 4b
Collect like terms
5b – 4b = 6f – f
b = 5f
Thus, a burger cost five times as much as a fries.
what is the least common denominator of 5/12 and 4/18
Answer:
36
Step-by-step explanation:
The slope of AB is 2/3, A(1,-4) and B(-5,y). Solve for the value of y.
Answer:
y=5
Step-by-step explanation:
the difference between the x coordinates of each point is 6. in order for the slope to simplify to 2/3 the difference in y should be 9.
y=9-4(y coordinates of A)
=5