Let x be the number of one-striped fish and y the number of two-striped fish.
100 families each have 2 fish, so there are a total of 200 fish:
x + y = 200
x one-striped fish carry a total of x stripes, while y two-striped fish carry a total of 2y stripes. There are 273 stripes overall, so
x + 2y = 273
Solve for x and y. Subtracting the first equation from the second eliminates x :
(x + 2y) - (x + y) = 273 - 200 ==> y = 73
Then
x + 73 = 200 ==> x = 127
Which of the following numbers could not be used to describe a distance walked?
129 feet
12 feet
- 140 feet
|-125 feet
Answer:
-140 ft is not a distance
Step-by-step explanation:
Distance must be a positive number
-140 is negative
Math property
-75+(23+75)=(75+75)-23=0-23=-23
Given:
Consider the expression is:
[tex]-75+23+75[/tex]
To find:
The value of the given expression by using the math properties.
Solution:
We have,
[tex]-75+23+75[/tex]
It can be written as:
[tex]=-75+(23+75)[/tex]
[tex]=-75+(75+23)[/tex] [Commutative property of addition]
[tex]=(-75+75)+23[/tex] [Associative property of addition]
[tex]=0+23[/tex]
[tex]=23[/tex]
Therefore, the value of the given expression is 23.
A coach surveyed a random sample of 200 college athletes about their height.
A 2-column table with 4 rows. Column 1 is labeled Height (inches) with entries 60 to 64, 65 to 69, 70 to 74, 74 to 76. Column 2 is labeled Frequency with entries 14, 28, 53, 67.
Which statements are correct about the data in the table? Check all that apply.
A bar graph is an appropriate display.
A pie chart is an appropriate display.
A bar graph is not appropriate because the heights of the bars would be too different.
A pie chart is not appropriate because the categories do not add to 100%.
A bar graph is appropriate because the frequencies are given.
Answer:
A bar graph is an appropriate display.
A pie chart is not appropriate because the categories do not add to 100%.
A bar graph is appropriate because the frequencies are given.
Answer:
i. A bar graph is an appropriate display.
ii. A bar graph is appropriate because the frequencies are given.
Step-by-step explanation:
A bar graph is a graphical method that can be used to present an information from a sample of data. It requires drawing of bars of equal width and distance with respect to the information given.
While a pie chart is a method that requires presenting information in a circular chart with respect to each data in sectors of different central angles.
For the given question, the most appropriate method to use is the bar graph with respect to the given information. Thus, the statements that are correct about the data in the table are:
i. A bar graph is an appropriate display.
ii. A bar graph is appropriate because the frequencies are given.
Answer:
The answers are:
A.)A bar graph is an appropriate display.
D.)A pie chart is not appropriate because the categories do not add to 100%.
E.)A bar graph is appropriate because the frequencies are given.
Step-by-step explanation:
Got it right on edge2021, hope this helps you out
if √3CosA = sin A , find the acute angle A
Answer:
Here is your answer.....
Hope it helps you....
What is the equation of the line that passes through the point (-4, 2) and has a
slope of -2?
Step-by-step explanation:
use the equation of the straight line
y-y1=m (x-x1)
y-2=-2(x+4)
y-2= -2x-8
y= -2x-8+2
y= -2x-6
I hope this helps
What is 1/2 of 1/3 of 1/5 of 60?
IT supposed to be 2 because 1/2 1/3 of 1/5 of 60 is "2".
Answer:
2
Step-by-step explanation:
Of means multiply
1/2 * 1/3* 1/5 * 60
1/6 * 1/5*60
1/30 *60
60/30
2
Write the equation of the line for the graph shown below, please
Answer:
Given the proposed interrogate, as well as the graph provided, the correct answer is B. Y = 1/2 x + 4
Step-by-step explanation:
To evaluate such, a comprehension of linear Cartesian planes are obligated:
Slopes = rise/run
X- intercept: The peculiar point in which linear data is observed to intersect the x-axis.
Y- intercept: The peculiar point in which linear data is observed to intersect the y-axis.
Slope: 1/2 as for every individual space endeavored, a space of 2 to the right is required.
Y- intercept: (4,0)
Thus, the ameliorated answer to such interrogate is acknowledged as B. Y = 1/2 x + 4.
*I hope this helps.
For this question it’s asking for it in slope intercept form. So all you need to find is the slope and the y intercept.To find the y int look at where the line passes y. In this case it is y=4, then find slope by finding change in y/ change once which is 1/2, so you get y=1/2x+4
Which statement is true about the slope of the graphed line?
Answer: positive
Step-by-step explanation: because it is going up from the left to the right
Solve the equation 10 + y√ = 14
9514 1404 393
Answer:
y = 16
Step-by-step explanation:
Perhaps you want to solve ...
10 +√y = 14
√y = 4 . . . . . . subtract 10
y = 4² = 16 . . . square both sides
If in 1 month you can make 6 carpets, how many days will it take for making 10 carpets?
Si en 1 mes puedes hacer 6 alfombras, ¿cuántos días se necesitarán para hacer 10 alfombras?
Step-by-step explanation:
6 carpets=1month
10 carpets=?
1month=31 days
10 /6*31
51
Step-by-step explanatio
In triangleABC, AC = 15 centimeters, m
Answer:
16.17 cm
Step-by-step explanation:
The solution triangle attached below :
To obtain BC ; we use the sine rule ;
a/ sin A = b / sin B
A = (180 - (68 + 24))
A = 180 - 92
A = 88°
a / Sin 88 = 15 / sin 68
Cross multiply :
(a * sin 68) = (15 * sin 88)
a = 14.990862 / sin 68
a = 16.168165
a = 16.168 cm
The following data show the number of candies in 15 different bags.
35, 48, 36, 48, 43, 37, 43, 39, 45, 46, 40, 35, 50, 38, 48
Answer:
How should we proceed with this question
Tom and Carl start 200 miles apart, running towards each other. Tom runs 5 miles per hour faster than Carl. If they meet after 10 hours, how fast are they running?
Answer:
12.5 mph and 7.5 mphStep-by-step explanation:
Tom's speed = xCarl's speed = yWe have:
x = y + 5(x + y)*10 = 200Substitute x and solve for y:
(y + y + 5)*10 = 2002y + 5 = 202y = 15y = 7.5Find x:
x = 7.5 + 5 = 12.5Tom's speed is 12.5 mph
Carl's speed is 7.5 mph
Now
a=b+510(a+b)=200From eq(2)
a+b=20From eq(1)
a-b=5Adding these recent two
2a=25a=12.5mphPutting in eq(1)
b=a-5b=12.5-5b=7.5mphCan someone help me
Answer: Around 38.2°
Step-by-step explanation:
Set ∠A = x & a = 15Set ∠B = 27° & b = 11Substitute them into the formula for the law of sines:
[tex]\frac{sinA}{a} =\frac{sinB}{b} \\\\\frac{sinx}{15}=\frac{sin27}{11} \\[/tex]
Cross-multiply:
[tex]11sinx=15sin27[/tex]
Solve for x:
[tex]sinx=\frac{15sin27}{11} \\\\x=sin^{-1} (\frac{15sin27}{11})\\\\=38.2488[/tex]
Identify two linear correlations and two curvilinear correlations not mentioned in either the text or the lecture. What is the relationship between the variables
Answer and explanation:
Linear correlation is relationship between two variables, negative or positive. When there is a negative linear correlation between two variables, one variable increases steadily while the other decreases in same proportion. In positive linear correlation, two variables increase or decrease in steadily on same proportion.
Curvilinear correlation is relationship between variables that occurs when two variables increase steadily at same rate but at some point one begins to decrease while the other increases.
Two examples of linear correlation are : increase in work hours and increase in pay cheque
increase in expenses and decrease in cash
Two examples of curvilinear correlation are:
increase in staff cheerfulness and customer satisfaction but to certain extent
increase in achievements and increase in anxiety but to certain point when achievements begin to decrease.
David can receive one of the following two payment streams:
i. 100 at time 0, 200 at time n, and 300 at time 2n
ii. 600 at time 1 0
At an annual effective interest rate of i, the present values of the two streams arc equal. Given v^n = 0.75941.
Determine i.
Answer:
3.51%
Step-by-step explanation:
From the given information:
For the first stream, the present value can be computed as:
[tex]= 100 +\dfrac{200}{(1+i)^n}+ \dfrac{300}{(1+i)^{2n}}[/tex]
Present value for the second stream is:
[tex]=\dfrac{600}{(1+i)^{10}}[/tex]
Relating the above two equations together;
[tex]100 +\dfrac{200}{(1+i)^n}+ \dfrac{300}{(1+i)^{2n}} =\dfrac{600}{(1+i)^{10}}[/tex]
consider [tex]v = \dfrac{1}{1+i}[/tex], Then:
[tex]\implies 100+200v^n + 300v^{2n} = 600 v^{10}[/tex]
where:
[tex]v^n = 0.75941[/tex]
Now;
[tex]\implies 100+200(0.75941) + 300(0.75941))^2 = 600 (v)^{10}[/tex]
[tex](v)^{10} = \dfrac{100+200(0.75941) + 300(0.75941))^2 }{600}[/tex]
[tex](v)^{10} = 0.7082[/tex]
[tex](v) = \sqrt[10]{0.7082}[/tex]
v = 0.9661
Recall that:
[tex]v = \dfrac{1}{1+i}[/tex]
We can say that:
[tex]\dfrac{1}{1+i} = 0.9661[/tex]
[tex]1 = 0.9661(1+i) \\ \\ 0.9661 + 0.9661 i = 1 \\ \\ 0.9661 i = 1 - 0.9661 \\ \\ 0.9661 i = 0.0339 \\ \\ i = \dfrac{0.0339}{0.9661} \\ \\ i = 0.0351 \\ \\ \mathbf{i = 3.51\%}[/tex]
find the missing length indicated
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Answer:
x = 1500
Step-by-step explanation:
The right triangles are all similar, so the ratio of hypotenuse to short leg is the same for all.
x/900 = (1600+900)/x
x^2 = 900(2500) . . . . . . cross multiply
x = 30(50) . . . . . . . . . . . take the square root
x = 1500
Help please, don’t understand this
Answer:
b = -13/3
Step-by-step explanation:
Plug in the 13/3 into the t and then try to solve it. Like this:
(13/3 - 8/3)(13/3 + b) = 0 ----> 5/3(13/3+b) = 0 ----> from here you have to distribute ----> 65/9 + b = 0 (here you have to subtract from both sides)
b = -65/9 (you could simplified) ---> b = -13/3
A subcommittee of six is to be selected from a committee containing 10 democrats and 12 republicans. In how many ways can at least 1 democracy be selected for the subcommittee?
Answer:
the number of ways to select at least 1 democrat in the subcommittee is 69,486 ways
Step-by-step explanation:
Given;
number of the subcommittee, = 6
number of democrats = 10
number of republicans, = 12
The number of ways to select at least 1 democrat in the subcommittee is calculated as follows;
Let D represent Democrats
let R represent Republicans
= (1D & 5R) or (2D & 4R) or (3D & 3R) or (4D & 2R) or (5D & 1R) or (6D)
= 10C₁ x 12C₅ + 10C₂ x 12C₄ + 10C₃ x 12C₃ + 10C₄ x 12C₂ + 10C₅ x 12C₁ + 10C₆
[tex]=( \frac{10!}{9!1!} \times \frac{12!}{7!5!} )+ (\frac{10!}{8!2!} \times \frac{12!}{8!4!})+ (\frac{10!}{7!3!} \times \frac{12!}{9!3!})+ (\frac{10!}{6!4!} \times \frac{12!}{10!2!})+ (\frac{10!}{5!5!} \times \frac{12!}{11!1!}) \\\\ +(\frac{10!}{4!6!})\\\\= (7,920) + (17,820) + (26,400) + (13,860)+ (3,276) + (210)\\\\= 69,486 \ ways[/tex]
Therefore, the number of ways to select at least 1 democrat in the subcommittee is 69,486 ways
2 squared plus b squared equal 256
Answer:
[tex]2^2+b=256[/tex]
b=252
Step-by-step explanation:
[tex]2^2+b=256[/tex]
4+b=256
b=252
I wasn't very sure about what you are asking, but I hope this helps!
Find m(angle) and give a trig equation
Step-by-step explanation:
Just using the Pythagoras theorem
How long will it take for a home improvement loan for 22,800to earn interest of 608.00at 8 %ordinary interest
9514 1404 393
Answer:
120 days
Step-by-step explanation:
Using the formula for simple interest, we can solve for t:
I = Prt
t = I/(Pr) = 608/(22800×.08) = 608/1824 = 1/3 . . . . year
For "ordinary interest", a year is considered to be 360 days, so 1/3 year is ...
(1/3)(360 days) = 120 days
It will take 120 days for the loan to earn 608 in interest.
Complete factorization of x^3+4x^2-20x-48
Answer:
(x + 6) • (x + 2) • (x - 4)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
(((x3) + 22x2) - 20x) - 48
STEP
2
:
Checking for a perfect cube
2.1 x3+4x2-20x-48 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x3+4x2-20x-48
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: x3-48
Group 2: 4x2-20x
Pull out from each group separately :
Group 1: (x3-48) • (1)
Group 2: (x-5) • (4x)
the expectation students often have when doing the coin flip experiment is that thye will flip exactly 5 heads and 5 tails because there is 50% chance of flipping each. Is this a realistic expectation
Answer:
No
Explanation:
A coin which has a head and a tail has 1/2 probability of each which is a 50% chance of getting either a head or a tail. This means that given two sides of a coin, probability looks at the number of favorable outcomes and total number of outcomes, a formula that reflects a pattern seen in past experiences. Probability isn't absolute but relative. When we say there is a 50% chance of getting a head in a coin flip, it is relative to past experiences but doesn't assure of particular future occurrences regarding the coin flip.
How far can you travel in 19 hours at 63 mph
Answer:
1197 miles.
Step by step explanation:Speed(s) = 63 mph
Time(t) = 19 hours
Distance(d) = ?
We know,
D = S × T
= 63 × 19
= 1197 miles
convert 657 as binary form in computer language
Answer:
1010010001
Step-by-step explanation:
Keep dividing 657 by 2, and record the quotient and remainder
657
328,1
164,0
82,0
41,0
20,1
10,0
5,0
2,1
1,0
So chain the remainders from bottom up to get the binary number:
1010010001
Check:
1+16+128+512=657 checks.
10v-6v=28
Simplify your answer as much as possible
Step-by-step explanation:
10v-6v=28
4v=28
v=28/4
v=7
Answer:
10v-6v=28
or, 4v = 28
or, v = 28/4
or, v = 7
hence 7 is the required value of v
I have trouble with these two questions, even i did my equation but i don’t get the answers
Answer:
$318.17, out of state college is $161.12 cheaper per month
Step-by-step explanation:
72*24 = 1728 + 410*4 = 1728 + 1640 = 3368 + 450 = 18/12 = $318.17
8700+650*9 = 8700 + 5850 = 14550/9 = 1616.66
8500+400*9 = 8500 + 3600 = 12100 + 1000 = 13100/9 = 1455.56
1616.67 - 1455.56= $161.11 (use $161.12)
Lines m and p are perpendicular. If the slope of line m is -3, what is the slope of line p?
Answer: The slope of p is 1/3
Step-by-step explanation:
If the lines are perpendicular, this means they are opposite.
Thus, O is opposite P and since O = -3, P = 1/3
I have 3 questionssss
∠A and ∠T are supplementary. Given m∠T = (7x+11)° and m∠A = (8x+19)°, what is m∠T?
The other two are in the pics attached! PLS!
Answer:
<T = 81
x = 10, angle = 60
Angle 5 and Angle 3 are vertical angles. They are acute angles
Step-by-step explanation:
Supplementary angles add to 180
(7x+11) + (8x+19) = 180
Combine like terms
15x + 30 = 180
Subtract 30 from each side
15x +30-30 = 180-30
15x= 150
Divide by 15
15x/15 = 150/15
x = 10
We want angle T
T = 7x+11 = 7(10)+11 = 70+11 = 81
The two angles add to 90
5x+10 + 30 = 90
Combine like terms
5x+40 = 90
5x+40-40 = 90-40
5x = 50
Divide by 5
5x/5 = 50/5
x=10
5x+10 = 5(10) +10 = 50+10 = 60
Angle 5 and Angle 3 are vertical angles. They are acute angles
