Answer:
1. duck will travel in still water paddles 4 yards = 38,7 sec
up stream speed = 0,63 mph
down stream speed = 0,68 mph
A grocery store recently sold a bag of peanuts for $0.76 and a bag of Pikachu's for $3.68 at the end of the day 50 bags of peanuts and Pikachu's were sold for a total of 128 point 52 how many bags of each were sold
Answer:
31 Pikachu bags were sold.
19 peanut bags were sold.
Step-by-step explanation:
Let's set up an equation of the total revenue of the day, where x is the number of Pikachu's sold.
We know that the number of Peanuts sold is 50-x (as the total needs to be 50)
We know that the total revenue is:
Number of Pikachus * Cost per Pikachus + Number of Peanuts * Cost per Peanuts
Using our definitions above:
Total Revenue = x * $3.68 + (50-x) * $0.76
We know that the revenue needs to be $128.52.
$128.52 = x * $3.68 + (50-x) * $0.76
Let's remove the $ signs.
128.52 = x * 3.68 + (50-x) * 0.76
Multiplying both 50 and -x with 0.76, "expanding" the parenthesis.
128.52 = x*3.68 + 50*0.76 - x*0.76
128.52 = x*3.68 + 38 - 0.76*x
Subtracting 38 from both sides
90.52 = 3.68*x - 0.76*x
We can simplify the right side.
90.52 = 2.92*x
We can divide both sides by 2.92:
31 = x
And flip it:
x = 31
So 31 Pikachus were sold (remember we claled that x), and as we know, the number of peanut bags sold is
50-x = 50-31 = 19
31 Pikachu bags were sold.
19 peanut bags were sold.
[tex] \LARGE{ \boxed{ \rm{ \pink{Solution:}}}}[/tex]
Let the number of peanut bags be x
Then, Number of pikachu bags = 50 - x
Given,
Cost of each peanut bag = $0.76Cost of each pikachu bag = $3.68Then,
⇛ Total cost he gets from peanut bag = $0.76 × x
⇛ Total cost he gets from pikachu bag = $3.68(50 - x)
According to question,
⇛ $0.76x+ $3.68(50 - x) = $128.52
Solving this equation,
⇛ 0.76x + 184 - 3.68x = 128.52 (Removed $ symbol)
⇛ 184 - 2.92x = 128.52
⇛ 184 - 128.52 = 2.92x
⇛ 55.48 = 2.92x
Flipping the equation,
⇛ 2.92x = 55.48
⇛ x = 55.48 / 2.92
⇛ x = 19
Then,
⇛ 50 - x = 50 - 19 = 31
[tex] \large{ \therefore{ \boxed{ \rm{ \purple{No. \: of \: peanut \: bags = 19}}}}}[/tex]
[tex] \large{ \therefore{ \boxed{ \rm{ \purple{No. \: of \: pikachu \: bags = 31}}}}}[/tex]
━━━━━━━━━━━━━━━━━━━━
The two points on the coordinate plane represent Jane's house and her friend's house. Find the distance between the houses. Question 3 options: A) units B) units C) units D) units
Answer:
8.3
Step-by-step explanation:
To do this use the distance formula
[tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
First find the coordinates Jane (-5, -2) Friend (3, -4)
Now solve for d (8.246)
Answer:
10 units or approx. 8.25 units
Step-by-step explanation:
Jane's house is at coordinate (-5,-2) and her friend's house is at coordinate (3,-4).
You can find the answer in 2 ways.
1) Hypotenuse (the diagonal side or side across from the right angle) - approx. 8.25 units
2) Down and Side (go down 2 units and go side 8 units) - 10 units
Hope that helps and maybe earns a brainliest!
Have great day ahead! :)
PLS HELP ME WITH THIS I NEED IT QUICK!!!!!!!!!!!
Answer:
Below in bold.
Step-by-step explanation:
-6x + 3y = -7
The x intercepts occur when y = 0, so
-6x + 3(o) = -7
x = -7/-6
x = 7/6
So the x-intercept = (7/6, 0).
The y intercept:
-6(0) + 3y = -7
y = -7/3.
So the y-intercept = (0, -7/3.t).
Write an equation to find the nth term. Then find ₐ₂₄
-1, -4, -7, -10,...
The equation to find the nth term is:
an = a+(n-1)d
Where a is the first term in the sequence, which is -1 and d is the difference, which in this sequence the next term is found by subtracting 3 from the previous term, so d = -3 and n is the term you want to find.
The equation becomes:
an = -1 +(n-1)(-3)
a24 = -1 + (24-1)(-3) = -1 + (23(-3)) = -1-69 = -70
Find the measure of b+d.
Answer:
=90
Step-by-step explanation:
because d=32° and b=58°
this is because corresponding angles are equal
Answer:
Step-by-step explanation:
b+d =90 degree
hope it helps
Complete the statement. The line x = −2 is _______.
Answer:
see explanation
Step-by-step explanation:
The line x = - 2
Is a vertical line parallel to the y- axis
It passes through all points with an x- coordinate of - 2
Factorize. (i) 2mn +m^2-6n - 3m (ii) 4y^2 -81 (iii) t^2 - 6t+8
Answer:
(i) (m-3)(2n+m) (ii) (2y+9)(2y-9) (iii) (t-4)(t-2)
Step-by-step explanation:
2mn+m^2-6n-3m
m(2n+m)-3(2n+m)
(m-3)(2n+m)
Answer: (m-3)(2n+m)
------------------------------
4y^2-81
(2y+9)(2y-9)
Answer: (2y+9)(2y-9)
-------------------------------
t^2-6t+8
(t-4)(t-2)
Factors of the given equations are
(i) (2n +m)(m - 3)
(ii) (2y-9)(2y + 9)
(iii) (t -4) (t - 2)
What is factorization?" Factorization is the process of breaking down large number or quantity into a smaller number or quantity."
Formula used
(a² - b²) = (a -b) (a +b)
According to the question,
(i) 2mn + m² -6n -3m
= m (2n +m) - 3 (2n +m)
= (2n + m) (m - 3)
(ii) 4y² - 81
= (2y)² - (9)²
= (2y - 9) (2y + 9)
(iii) t² - 6t +8
= t² - 4t - 2t + 8
= t (t - 4) -2 (t - 4)
= (t -4) (t -2)
Hence, Factors of the given equations are
(i) (2n +m)(m - 3)
(ii) (2y-9)(2y + 9)
(iii) (t -4) (t - 2)
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Kevin has a rectangular farm mapped on a coordinate plane. He wants to make a fence along one of the longer sides of the farm. What would be the length of the fence? A. 6 B. 10 C. 12 D. 8
Answer:
10
Step-by-step explanation
Answer:
10
Step-by-step explanation:
Help pls will give brainliest
Answer:
The surface area of the rectangular prism is 292 cm²
What is the surface area of this rectangular pyramid?
I got 288 but that could be wrong. graduated a while ago. hope it helps though.
Please help I suck at math
Answer: 12
Step-by-step explanation:
Find the difference between the first and second points.
Since the x-coordinates are the ones changing, find the difference between them.
2 - (-3)
= 5
Then find the distance between the second and the third points.
Here, the y coordinates are the only ones changing, so we subtract them/or find the distance between them.
2-(-5)
=7
Now add the distances (5+7) and you get 12.
hope this helps!!:)
can anyone answer this pls. will mark u as brainliest.
Answer:
6
Step-by-step explanation:
We first want to rewrite it and make the square roots into power of 1/2 as its is easier in most cases to work with.
We will first solve for a^2 because it appears twice
3+2×2^1/2
3+2.828=5.828427
Now we will solve 1/a^2
1/5.828427=.171572
.171572+5.828427
now you add them and it equals 6.
Create diagrams to represent the possible cases for common tangents between two circles. Your diagram can be created using multimedia sources or drawn by hand. They should not be copied and pasted from a website. Explain why your diagrams satisfy the given criteria. One Common Tangent (10 points) Diagram: Justification:
Answer:
draw 2 lines and draw 2 circles in the lines with the edge touching the line
Step-by-step explanation:
In between two circles, there might be 0, 1, 2, 3, and 4 tangents are there.
What is the tangent of a circle?"A tangent line to a circle is a line that touches the circle at exactly one point, never entering the circle's interior.
1. When one circle is in between another and one circle does not touch the other one, then tangent is not possible.
2. When one circle is in between another and one circle touches the other one at a point inside the circle, then only one tangent is possible.
3. When one circle intersects the other one, then two tangents are possible.
4. When one circle touches the other one at a point outside, then three tangents are possible.
5. When one circle neither intersects the other one nor inside the other one, then four tangents are possible.
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On a map the scale showing is 1 inch by 5 mi if a park is 75 square miles what is the area of the park on the map. The parks area is _____ square inches on the map
Answer: 15 square Inches
Step-by-step explanation: I believe you should divide 75 and 5(75mi÷5mi=15in) to get 15in.
Answer: 3 square inches.
If the park is 25 square miles, it could be 5×5 miles. If the scale is 1 inch = 5 miles, that would be 1×1 inch or 1 square inch on the map. Since 75 is 3×25, it will be 3×1 square inches on the map.
Step-by-step explanation: Remember that the scale represents linear measurements. For area, you must square the linear "sides" to get the number of actual square units represented by a square unit on the map.
Which statements could he include in his explanation? Select two options.
The domain of both functions is all real numbers.
The domain of f(x) is x > 5.
The domain of g(x) is x > 5.
The range of f(x) is y > 0.
The range of g(x) is y > 0.
Answer:
The domain of fx is x>5
The domain of gx is x>5
The statements could he include in his explanation are
a. The domain of fx is x>5.
b. The domain of gx is x>5.
What is the function?A function is defined as a relationship between a set of inputs and a single output. A function is an input-output relationship in which each input corresponds to exactly one output.
A function is a sort of rule that generates a single output for a single input. The image was given by Alex Federspiel. A good example is y=x2. You will only get one output for y if you enter anything for x. We can say that y is a function of x because x represents the input value.
Both functions are real numbers, so, f(x) is x > 5 and g(x) is x > 5 will be correct.
Therefore, the correct options are, a. The domain of fx is x>5 and b. The domain of gx is x>5.
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can someone turn this into slope intercept form please ?? thank you .
Answer:
1) -1 - 0 fraction on top of -4 -3
Step-by-step explanation:
(x1,y1) and the second (x2,y2)
and the formula is x2- minus x1 over as ina fraction over y2- minus y1,,,, apply this to the other questions
Answer:
Hi there!!!
just use double point formula for the equation of st.line.
(i.e (y-y1 )= y2-y1/x2-x1 times (y-y1)
I hope the answers in the pictures will help you....
The ground temperature at sea level is 60 degrees F. For every 100-foot increase in elevation, the temperature rises 1/10 of one degree. At an altitude of 2,000 feet, what will be the likely temperature? A. 58 degrees F B. 62 degrees F C. 72 degrees F D. 80 degrees F Show ALL work please!!
====================================================
Explanation:
x = elevation in feet
y = temperature in fahrenheit
The temperature goes up 1/10 = 0.1 degrees for every 100-foot increase of elevation. So the slope is 0.1/100 = 0.001, which tells us how fast the temperature is increasing. In other words, the temperature goes up 0.001 degrees each time the elevation goes up by 1 foot.
The ground temperature is 60 degrees, which is our starting temperature. It's the value of y when x = 0. Therefore, 60 is the y intercept.
We have a slope of m = 0.001 and a y intercept of b = 60. The equation y = mx+b becomes y = 0.1x+60
Now plug in x = 2000 to find the temperature at this elevation
y = 0.001x+60
y = 0.001*2000+60
y = 2+60
y = 62
Answer:
B.62
Step-by-step explanation:
60 + (2000/100) We find 20 is the answer to the division
60 + (20 * 1/10) We find 2 is the answer to the multiplication
60 + (2)
We can then + for elevation or - or depression or decrease.
= 62
= 62 degrees.
Select the correct answer from each drop-down menu.
35
30
25
Number of Roses
20
15
10
5
0
2
1
3
4
5
X
Number of Plants
According to the graph, the relationship between the number of rose plants and the number of roses is
Answer:
I think it is b
Step-by-step explanation:
Kaitlin compared the statistics from her team's baseball season. She determined that having fewer hits did not imply that a player caught more or fewer balls. What should she conclude? a. There is no correlation between the number of hits and the number of balls caught. b. There is a correlation between the number of hits and the number of balls caught. There may or may not be causation. Further studies would have to be done to determine this. c.There is a correlation between number of hits and number of balls caught. However, there is no causation. This is because there is probably a decrease in the number of balls caught with a decrease in the number of hits.
Answer: c.There is a correlation between number of hits and number of balls caught. However, there is no causation. This is because there is probably a decrease in the number of balls caught with a decrease in the number of hits.
Step-by-step explanation:
Correlation is a term used to define a relationship between two variables.Causation is a term used to define the effect of one variable on other.Given, Kaitlin compared the statistics from her team's baseball season. She determined that having fewer hits did not imply that a player caught more or fewer balls.
There is a correlation between number of hits and number of balls caught. However, there is no causation as " fewer hits did not imply that a player caught more or fewer balls.".
This is because there is probably a decrease in the number of balls caught with a decrease in the number of hits.
Hence, the correct option is "c".
Type the correct answer in each box. If necessary, use / for the fraction bar.
Complete the statements about series A and B.
Series A: 10 + 4 +8/5 + 16/25 + 13/125 + ...
Series B: 1/5 + 3/5 + 9/5 + 27/5 + 81/5 +...
Series (a or b) has an r value of (blank) where 0<|r|<1. So, we can find the sum of the series. The sum of the series is (blank)
Answer:
Step-by-step explanation:
Given two series A and B;
Series A: 10 + 4 +8/5 + 16/25 + 13/125 + ...
Series B: 1/5 + 3/5 + 9/5 + 27/5 + 81/5 +...
Both series are geometric series since they have the same common ratio. Given the geometric series T₁, T₂, T₃, T₄..., the common ratio r is expressed as [tex]\frac{T_2}{T_1} =\frac{T_3}{T_2} =\frac{T_4}{T_3} = r[/tex].
a) For series A, Given T₁ = 10, T₂ = 4, T₃ = 8/5 and T₄ = 13/125
Its common ratio is expressed as [tex]\frac{4}{10} =\frac{8/5}{4} =\frac{13/125}{8/5} = 2/5[/tex]
Hence the common ratio of series A is 2/5
The sum to infinity of the geometric series will be expressed as [tex]s_\infty = \dfrac{a}{1-r}[/tex]
Note that the sum to infifnity is used since the series is tending to infinity.
a is the first term if the series = 10
r - 2/5
On substituting this values into the formula;
[tex]s_\infty = \dfrac{10}{1-2/5} \\\\s_\infty = \dfrac{10}{3/5} \\\\s_\infty = 10* 5/3\\s_\infty = 50/3[/tex]
Hence the sum of the series is 50/3
b) For the series B;
Series B: 1/5 + 3/5 + 9/5 + 27/5 + 81/5 +...
The common ratio of the series is expressed as shown;
[tex]\frac{3/5}{1/5} =\frac{9/5}{3/5}= \frac{27/5}{9/5 } = r\\ r = (3/5 * 5/1) = 9/5*5/3 = 27/5*5/9 = 3[/tex]
Hence its common ratio is 3.
Sun of the series is expressed similarly as:
[tex]s_\infty = \frac{a}{1-r}\\ s_\infty = \frac{1/5}{1-3}\\\\s_\infty = \frac{1/5}{-2}\\\\[/tex]
[tex]s_\infty = 1/5 * -1/2\\s_\infty = -1/10[/tex]
Hence the sum of series B is -1/10
A state highway department uses a salt storage enclosure that is in the shape of a cone, as shown above. If the volume of the storage enclosure is 48π m3, then what is the diameter of the base of the cone, in meters?
Answer:
Diameter of the base of the cone = 8 meters
Step-by-step explanation:
State highway department uses a salt storage enclosure which is in the shape of a cone.
Height of the storage in conical shape = 9 meters
Volume of the storage = 48π m³
Let the radius of this conical storage = r meters
Formula to get the volume of a cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]
Here 'r' is the radius of the base of the cone and 'h' is the height of the cone.
Therefore, Volume = [tex]\frac{1}{3}(\pi ) r^{2}(9)[/tex]
[tex]48\pi=3\pi r^{2}[/tex]
r² = [tex]\frac{48\pi }{3\pi }[/tex]
r = [tex]\sqrt{16}[/tex]
r = 4 meters
Since, diameter = 2r
= 2(4)
= 8 meters
Therefore, diameter of the base of the cone = 8 metres
Use the Quadratic Formula to solve the equation x² - 6x = -14.
1. X=3+23 or X = 3-V23
2. X=-3+V23 orX=-3-V23
3. X=-3+iv5 or X=-3-i15
4. X=3+iv5 orx = 3-iv5
Answer:
D. x = 3+i√5 or 3-i√5
Step-by-step explanation:
Given the equation x² - 6x = -14, on rewriting the equation in the firm if a quadratic equation ax²+bx+c = 0 will give x² - 6x + 14= 0.
Required
Use the quadratic formula to solve the equation.
The quadratic formula is expressed as x = (-b±√b²-4ac)/2a
From the equation given, a = 1, b = -6 and c = 145.
x = (-(-6)±√(-6)²-4(1)(14))/2(1)
x = = (6±√36-56)/2
x = = (6±√-20)/2
x = (6±√20*√-1)/2
Since √-1= i
x = (6±√20 i)/2
x = (6±√5*4 i)/2
x = (6±2√5 i)/2
x = 6/2 ± 2√5 i/2
x = 3±√5 i
x = 3+i√5 and 3-i√5
Hence the solution to the quadratic equation is x = 3+i√5 and 3-i√5
These cones are similar. Find the volume
of the smaller cone. Round to the
nearest tenth.
Answer:
19.5
Step-by-step explanation:
The Volume of a cone is h/3(r²)[tex]\pi[/tex]
That means, for the larger cone,
66=h/3(3²)([tex]\pi[/tex])
66=h/3*9[tex]\pi[/tex]
66/9[tex]\pi[/tex]*3=h
h=7, so the height of the larger cone is seven
Since the cones are similar, it has to have the same ratio. 7/3 of 2 is 4.6666. So the height of the smaller cone is 4.66666.
Putting that in the formula,
V=(4.66666/3)(2²)[tex]\pi[/tex]
V=1.555555*4*[tex]\pi[/tex]
V=19.547
Answer:
19.6
Step-by-step explanation:
I have acellus too, and honestly, I typed in 19.5, which didn't work, so I typed in 19.6 and it worked. Hope this helps!
Richard bought a car for $2,500. The value of the car depreciates by 5% each year,
What is the average rate of change in the value of the car during the first 3 years?
Round your answer to the nearest dollar.
-$232
- $116
-$119
- $357
Step-by-step explanation:
Hello, there!!!
The answer is option D.
I have given solution on the picture.
Hope it helps.....
Four letters are selected at random with replacement from the word MATHCOUNTS. What is the probability that the letters in the order they are selected will form the word MATH?
So "MATHCOUNTS" has 10 letters.
And "MATH" has 4 letters.
So the probability of you getting the letters "M" "A" "T" "H" is 4/10 or 2/5.
But it has to be in order...
There are 32 ways you can arrange the 4 letters. There is only 1 way you can write "MATH"
So 1/32 probability of 2/5 is 2/160 or 1/80
The probability of getting the word MATH is 1/80
What is Probability ?The study of likeliness of an event to happen is probability .
It is given that
Total letters in MATHCOUNTS : 10 letters.
Total chances of getting letter M , A , T , H is 4
Probability of getting the letters M , A , T , H is 4/10
= 2 /5
The probability of getting the word MATH is 1
And the total number of ways the letters can be arranged is 2⁴
= 32
The probability of getting the word MATH is
= 1 /32 * 2 /5
=1/80
Therefore , The probability of getting the word MATH is 1/80
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Function f(x) =ax +b where a and b are integers and a<0 has a domain 1
Answer:
sorry i read the question wrong and put a wrong answer im not sure how to delete
Step-by-step explanation:
(08.01) Two lines, A and B, are represented by the following equations: Line A: y = x − 1 Line B: y = −3x + 11 Which of the following options shows the solution to the system of equations and explains why? (3, 2), because the point does not lie on any axis (3, 2), because one of the lines passes through this point (3, 2), because the point lies between the two axes (3, 2), because both lines pass through this point
Answer:
the answer is D
Step-by-step explanation:
y=x-1
2=3-1
2=2
y=-3x+11
2=-3(3)+11
2=-9+11
2=2
Answer:
Step-by-step explanation:
If both lines pass through the point (3, 2), we automatically know that (3, 2) is the soution of the system of linear equations given here, AND that (3, 2) is a solution of equation A and equation B both.
Guys pls help me in this coz im very confused in this
Answer:
Step-by-step explanation:
1. Copy the diagram using ruler for parallel lines * ensure they (the parallel lines) each have the same distance each point to one another before drawing or adding the transversal line L(3)
The transversal doesn't have to be exact to the diagram but the parallel lines do have to be correct to prove that angle 1 + 5 are identical and fit into each other.
2. They only become corresponding because of being on transversal to add to 180 degree. As you will see when you draw angle 1 on colored paper near the first blue/green circle and match with 5 below in the second blue/green circle.
3. The reason they want tracing paper afterwards of the same shape is so you can use alternatively to cover angle 5 in your book.
You will see they do cover each other.
Additional
''When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. ''
Should you enter search for the above statement it will show you an interactive tool you can use for regarding maths transversal.
Here you can compare parallel lines like l(1) and l(2) as even if they were not parallel they would still be corresponding angles. As you will see.
Evaluate the expression. *
23 – (12 + 6) + 8
Please help
Answer:
13
Step-by-step explanation:
23-(12+6)+8
23-18+8
31-18
13
answer is 13
Step-by-step explanation:
Using the BODMAS rule,bracket of division or multiplication, addition or subtraction.
This applies the rule:
therefore,
23- (12+6)+8 ,calculate within bracket first
=23-(18)+8
now remove the bracket,by multiply by the -1
=23-18+8
the start calculate from the left to right
=23-10
=13
therefore the answer is 13
If the probability that a person will die in the next year is 771/100,000
what is the probability that the person will not die in the next year?
A. 0.771%
B. 99.229%
C. 0.229%
D. 99.771%
Answer:
(B) 99.229%
Step-by-step explanation:
If the probability of someone dying next year is [tex]\frac{771}{100000}[/tex], that means the probability of someone NOT dying next year is [tex]\frac{100000-771}{100000} = \frac{99229}{100000}[/tex].
To find the percent value of this fraction, we divide 99229 by 100000 and multiply by 100.
[tex]\frac{99229}{100000} = 0.99229\cdot100=99.229[/tex]
So, the answer is B, 99.229%.
Hope this helped!