Answer:
8 ducks, 12 cows
Step-by-step explanation:
Let the ducks be x in number and cows be y in number
ATQ, x+y=20 and 2x+4y=64, solving we get y=12 and x=8.
If farmer McDonald raises ducks and cows. His animals have a total of 20 heads and 64 legs. Mr. McDonald has 8 ducks and 12 cows.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, Farmer McDonald raises ducks and cows. His animals have a total of 20 heads and 64 legs.
Suppose the number of head and legs be x and y respectively.
If His animals have a total of 20 heads and 64 legs,
x+y=20
2x+4y=64,
Solving the above equations we get y=12 and x=8.
Thus, if a farmer McDonald raises ducks and cows. His animals have a total of 20 heads and 64 legs. Mr. McDonald has 8 ducks and 12 cows.
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Which of the following is the place value of the underlined digit? 35.1789
A ten-thousandths B tenths
C thousandths D hundredths
Answer:
1 = tenths place
7= hundredths place
8= thousandths place
9= ten-thousandths place
Step-by-step explanation:
rearrange the equation so the r is the independent variable
Answer:
q = 3+1/2 r
Step-by-step explanation:
10q -5r = 30
Add 5r to each side
10q -5r+5r = 30+5r
10q = 30 +5r
Divide by 10
10q/10 = 30/10 +5r/10
q = 3+1/2 r
Both Fred and Ed have a bag of candy containing a lemon drop, a cherry drop, and a lollipop. Each takes out a piece and eats it. What are the possible pairs of candies eaten? A. Lemon-lemon, cherry-lemon, lollipop-lollipop, lemon-cherry, cherry-cherry, lemon-lollipop, lollipop-cherry, cherry-lollipop, lollipop-lemon B. Cherry-lemon, lemon-lollipop, lollipop-cherry, lollipop-lollipop, lemon-lemon C. Lemon-cherry, lemon-cherry, lemon-cherry, lemon-lollipop, lemon-lollipop, lemon-lollipop, cherry-lollipop, cherry-lollipop, cherry-lollipop D. Lemon-lemon, cherry-lemon, lollipop-lollipop, lemon-lollipop, cherry-cherry, lemon-lollipop, lollipop-cherry, cherry-lemon, lollipop-lemon
Answer:
A. Lemon-lemon, cherry-lemon, lollipop-lollipop, lemon-cherry, cherry-cherry, lemon-lollipop, lollipop-cherry, cherry-lollipop, lollipop-lemon
Step-by-step explanation:
From the above question, we are told that both Fred and Ed have a bag of candy containing a lemon drop, a cherry drop, and a lollipop
There are two events here's
2 people = Fred and Ed
3 bags of different sweets = Lemon Cherry and Lollipop
The number of ways that both of them can eat this singly is calculated using combination formula
C(n, r) = nCr = n!/r! (n - r)!
n = 3, r = 2 = 3C2 = 3!/2! (3 - 2)!
= 3 × 2 × 1/2 × 1
= 3
We were asked to find the possible pairs
Hence = 3² = 9
There are 9 possible pairs through which Fred and Ed can eat their sweets and they are:
1) Lemon - Lemon
2) Cherry - Cherry
3) Lollipop - Lollipop
4) Lemon - Cherry
5) Cherry - Lemon
6) Lollipop - Cherry
7) Cherry - Lollipop
8) Lollipop - Lemon
9) Lemon - Lollipop.
Therefore, Option A is the correct option
Answer:
LEMONS BURN YOUR HOUSE DOWN JK its this A. Lemon-lemon, cherry-lemon, lollipop-lollipop, lemon-cherry, cherry-cherry, lemon-lollipop, lollipop-cherry, cherry-lollipop, lollipop-lemon
Step-by-step explanation:
From the above question, we are told that both Fred and Ed have a bag of candy containing a lemon drop, a cherry drop, and a lollipop
There are two events here's
2 people = Fred and Ed
3 bags of different sweets = Lemon Cherry and Lollipop
The number of ways that both of them can eat this singly is calculated using combination formula
C(n, r) = nCr = n!/r! (n - r)!
n = 3, r = 2 = 3C2 = 3!/2! (3 - 2)!
= 3 × 2 × 1/2 × 1
= 3
We were asked to find the possible pairs
Hence = 3² = 9
There are 9 possible pairs through which Fred and Ed can eat their sweets and they are:
1) Lemon - Lemon
2) Cherry - Cherry
3) Lollipop - Lollipop
4) Lemon - Cherry
5) Cherry - Lemon
6) Lollipop - Cherry
7) Cherry - Lollipop
8) Lollipop - Lemon
9) Lemon - Lollipop.
Therefore, Option A is the correct option
write the first ten multiples of 3 ,4 and find l.c.m with method
Answer:
Multiples of 3=3,6,9,12,15,18..
Multiples of 4=4,8,12,16,20..
The first common multiple will be 12
And the next common multiples will be multiples of 12
Hence, first four common multiples of 3,4 are 12,24,36,48
https://www.cuemath.com/numbers/lcm-of-3-and-4/
Calculate : y
y = 20
y = 10
y = 15
y = 144
choose the only correct answer
which of the following functions are an example of exponential growth ?
Answer:
i don't know maybe D. 2 and 3
HIGH POINTS + BRAINLIEST!!!!
Each row shows the tax rate on a specific portion of the taxpayer's taxable income given their filing status. For example, suppose a taxpayer has a filing status of Single and a taxable income of $40,000. This means that the taxpayer owes 10% tax on the first $8,925, 15% tax on the amount over $8,925 up to $36,250, and 25% in the amount over $36,250 up to $ 40,000.
If Abdul and Maria had a filing status of Married Filing Jointly and together have a taxable income of $91,307 in the year 2013, how much did the couple owe for federal income tax?
Do not round any intermediate computations. Round your answer to the nearest dollar.
Answer:
Step-by-step explanation:
Taxable income = $ 91,307
Tax for $ 17,850 = 10% of 17850 = 0.1*17850 = $ 1785
Tax for $17,850 to $72,500 = 15% of (72,500-17850) = 0.15* 54650 = $ 8197.5
Tax $72,500 to $91,307 = 25% of (91307-72500)=0.25*18807= $ 4701.75
Total tax = 1785 + 8197.5 + 4701.75 = 14684.25
Total tax = $14684
2. Find the missing angle x.
155°
60°
X
Answer:
exterior angle property use ...
the exterior angle of an angle is equal to sum of rest 2 interior angles in a triangle
155 = 60 + x
x = 155 - 60 = 95
The missing angle x in the triangle is 95 degrees.
Here, we have,
from the given figure we get,
one angle of the triangle is: 180- 155 = 25 degrees.
To find the missing angle x in the triangle, we can use the fact that the sum of the angles in a triangle is always 180 degrees.
In this case, we are given two angles of the triangle: 25 degrees and 60 degrees.
Let's denote the missing angle as x.
To find x, we can subtract the sum of the given angles from 180 degrees:
x = 180° - (25° + 60°).
Simplifying the expression inside the parentheses:
x = 180° - 85°.
Subtracting:
x = 95°.
Therefore, the missing angle x in the triangle is 95 degrees.
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Part C Next, find the length of BC place point F at (4,4) and draw BF and FC now you hav the right ∆BFC with BC as the hypotenuse find BC and FC ising the coordinates of B,C, and,F then use the Pythagorean theorem to find BC show your work need help ASAP giving thanks and points away I just need these answer fast ???
Answer:
BF = |4 – 1| = 3
FC = |4 – 0| = 4
Using the Pythagorean Theorem to find BC:
BC2 = BF2 + FC2
BC2 = 32 + 42
BC2 = 9 + 16
BC = sqaure root 25
BC = 5
Step-by-step explanation:
The length of BC is 5 unit.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
We need to find the length of BC place point F at (4,4) and draw BF and FC now you have the right ∆BFC with BC as the hypotenuse find BC and FC using the coordinates of B,C, and,F then use the Pythagorean theorem to find BC.
Using the Pythagorean Theorem to find BC:
BC^2 = BF^2 + FC^2
BC^2 = 32 + 42
BC^2 = 9 + 16
BC = √25
BC = 5
So, BF = |4 – 1| = 3
FC = |4 – 0| = 4
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Lilianna uses \dfrac{3}{4} 4 3 start fraction, 3, divided by, 4, end fraction calories per minute just by sitting. She uses 111 more calorie per minute by walking. Lilianna uses a total of 12\dfrac{1}{4}12 4 1 12, start fraction, 1, divided by, 4, end fraction calories walking to the park. Lilianna uses the equation, d\left(\dfrac{3}{4}+1\right)=12\dfrac{1}{4}d( 4 3 +1)=12 4 1 d, left parenthesis, start fraction, 3, divided by, 4, end fraction, plus, 1, right parenthesis, equals, 12, start fraction, 1, divided by, 4, end fraction to represent the situation. What does the variable ddd represent in the equation? Choose 1 answer: Choose 1 answer: (Choice A) A Calories per minute Lilianna uses walking (Choice B) B Number of calories Lilianna would have used sitting (Choice C) C Number of minutes Lilianna walked
The Variable d in the equation represents the time per minute Lilianna spends walking to the park
VariableCalories used by sitting = 3/4Calories used by walking = 1Total calories used walking to the park = 12 1/4The equation:
d(3/4 + 1) = 12 1/4
d(3+4/4) = 12 1/4
d(7/4) = 49/4
d = 49/4 ÷ 7/4
= 49/4 × 4/7
= 49/7
d = 7
Complete question:
Lilianna uses 3/4 calories per minute just by sitting. She uses 1 more calorie per minute by walking. Liliana uses a total of 12 1/4 calories walking to the park. Lilianna uses the equation, d(3/4+1)=12 1/4 to represent the situation. What does the variable d represent in the equation?
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Please answer question now
Answer:
90
Step-by-step explanation:
Tangents drawn to a circle from an external point are equal, thus
IH = IJ = 7
ON = OH = 19 - 7 = 12
MN = ML = 26 - 7 = 19
Summing the 4 sides for perimeter (P)
P = 26 + 19 + 7 + 7 + 12 + 19 = 90
50 POINTSS!! While preparing a roof, patty drops a screwdriver from a height of 80 feet. The function (h)t = -16t^2 + 80 gives the height of the screwdriver in the feet as feet after t seconds during its fall. Which of these is the graph of the function
Answer:
Graph D
Step-by-step explanation:
(h)t = -16t^2 + 80
At time t = 0 the screwdriver is at 0+80 =80 ft
As time increases the height will decrease so we can eliminate graph B
We know this is a downward parabola by the - in front of the t^2 so we can eliminate graph A
We need to find where it meets the x axis
0 = -16t^2 + 80
-80 = -16t^2
5 = t^2
t = sqrt(5)
t =2.23
This is Graph D
the actual length of wall c is 4 m . to represent wall c noah draw a segment 16cm long what scale is he using explain your reasoning
Answer:
1/25
Step-by-step explanation:
1 m = 100 cm
4m x 100 = 400 cm
If it is 16 cm long, then the scale factor is 16/400, which simplifies to 1/25.
the sum of n and the sum of 8 and 6"
Answer:
Its 14
Step-by-step explanation:
8+6=14
Answer:
The answer is 16
08
+ 06
----------
16
Hope it helps ;)
Please mark as brainliest
In the circle below, if arc AC = 66°, and arc BD = 146, find the measure of
Select one:
a. 146
b. 212
C. 66
d. 106
Answer:
D. 106°Step-by-step explanation:
m∠BPD = m∠APC = 1/2(mAC + mBD) = 1/2(66° + 146°) = 1/2(212°) = 106°Answer:
By applying intersecting chords angle theorem:-
[tex]m\angle BPD= 106[/tex]° [tex]=1/2(BD+AC)[/tex]
[tex]=1/2(146+66)[/tex]
[tex]=1/2\time(212)[/tex]°
[tex]m\angle BPD=106[/tex]°
Answer:- D) 106°
OAmalOHopeO
Consider the following linear system.
-2x+5y=23
-10x+ky=115
The value of k that will produce a system with an infinite number of solutions is:
a. -25
b. 25
c. -5
d. 5
Answer:
b. 25
Step-by-step explanation:
To have an infinite number of solutions, both equations must be equal.
-2x + 5y = 23
-10x + ky = 115
Multiply both sides of the first equation by 5 and write it. Rewrite the second equation below the first equation.
-10x + 25y = 115
-10x + ky = 115
For the equations to be equal, you must have
25y = ky
Divide both sides by y.
k = 25
Answer: b. 25
Two weeks in a row, the golf course hosts a group of golfers. The second week had 10 more golfers than the first week. Use the dot plots to choose the true statement.
Answer:
The second week had 10 more golfers than the first week.
Step-by-step explanation:
The graph clearly shows that the second week golfer are more than the first week. The median for week 2 is greater than the median of week 1. The graph of week 2 shows that number of golfers had increased and their age is between 60 to 80 years of age. The median of week 2 is 79 where as median of week 1 is 75.
The amount of juice in a container is
normally distributed with a mean of
70 ounces and a standard deviation of
0.5 ounce. What is the probability that a
randomly selected container has more
than 70.5 ounces of juice?
Answer:
0.15866
Step-by-step explanation:
To solve for the above question, we use z score formula
z = (x - μ) / σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
From the question,
x is the raw score = 70.5
μ is the population mean = 70
σ is the population standard deviation = 0.5
z = 70.5 - 70/ 0.5
z= 0.5/0.5
z = 1
We used the z score table to find the probability of z = 1
P( x = z) = P(x = 70.5)
= P( z = 1) = 0.84134
Hence, the probability that a randomly selected container has more than 70.5 ounces of juice is calculated as
P(x>70.5) = 1 - P(x =70.5)
P(x>70.5) = 1 - 0.84134 = 0.15866
Therefore, the probability that a randomly selected container has more than 70.5 ounces of juice is 0.15866.
Plz help ASAP!! WILL MARK BRAINLIST for the correct answer
The table represents a function because each input (x-value) corresponds to exactly one output (y-value)
If we had repeated x values, then that is a sign we don't have a function. So for instance, if we had the two points (1,5) and (1,6) then we don't have a function because the input x = 1 corresponds to outputs y = 5 and y = 6 simultaneously.
Note: the y values are allowed to repeat and we still have a function, but this function is not one-to-one because of the repeated value y = 2.
Answer:
No idea dude
Step-by-step explanation:
I just need points
Find the surface area of this cylinder.
Round to the nearest tenth.
p= 5 cm
5 cm
SA = [ ? ] cm?
Answer:
314.2
Step-by-step explanation:
2πr²+2πrh
= 2×π×5²+2×π×5×5
= 100π
= 314.2 cm²
Answer:
Does the answer help you?
The circumference of a circle is 6π in. What is the area, in square inches? Express your answer in terms of \piπ.
Step-by-step explanation:
Hey, there!!
According to the question,
There is given circumference = 6pi in.
or, 2.pi.r = 6pi.in
or, r = 6 pi.in/ 2
Therefore, the radius (r)= 3in.
now,
area = pi.r^2
a= pi× (3in)^2
Therefore, the area is 9.pi.in^2.
Hope it helps....
Answer:
A ≈ 2.86
Step-by-step explanation:
Using the formulas
A = πr²
C = 2πr
Solving for A
A = C²/ 4π = 6²/ 4·π ≈ 2.86479
15. PLEASE HELP ME
A sports recreation company plans to manufacture a beach ball with a surface area of 7238 in.2 Find the radius of the beach ball. Use the formula A= 4\pir2, where A is the surface area and r is the radius of the sphere.
A. 48 in.
B. 24 in.
C. 75 in.
D. 576 in.
We know
[tex]\boxed{\sf Surface\:area=4\pi r^2}[/tex]
[tex]\\ \sf\longmapsto 4\pi r^2=7238[/tex]
[tex]\\ \sf\longmapsto 4\times \dfrac{22}{7}r^2=7238[/tex]
[tex]\\ \sf\longmapsto r^2=\dfrac{7238\times 7}{88}[/tex]
[tex]\\ \sf\longmapsto r^2=\dfrac{5066}{88}[/tex]
[tex]\\ \sf\longmapsto r^2=575.75[/tex]
[tex]\\ \sf\longmapsto r^2\approx576[/tex]
[tex]\\ \sf\longmapsto r\approx\sqrt{576}[/tex]
[tex]\\ \sf\longmapsto r\approx24in[/tex]
Option b is coreectAnswer:
B. 24 in.
Step-by-step explanation:
The given problem supplies as with the surface area of the beach ball and we are to look for the required radius. Assuming that the beach ball is perfectly shaped in the form of a sphere, then the formula for calculating the surface area of a sphere is given as:
SA = 4 π r^2
where r is the radius of the sphere and SA is the surface area which is given to be 7238 in^2
Rewriting the formula in terms of r:
r^2 = SA / 4 π
r = sqrt (SA / 4 π)
Solving for r:
r = sqrt (7238 in^2 / 4 π)
r = 24 in
Answer:
24 inches
Evan is on holidays in Beijing, China. He took a taxi from the airport to his hotel. It cost him 375 Chinese yuan. He went $15 AUD over his travel budget on the taxi ride. How much Chinese yuan does Evan get for every Australian dollar if he budgeted $60 for the taxi ride?
This question is solved using proportions, and doing this, it is found that Evan gets 5 Chinese yuans for every Australian dollar.
-----------------------------------------
Evan budgeted $60 for the taxi ride.He went $15 over, thus, the taxi ride cost $75.In Chinese yuans, the cost was 375.-----------------------------------------
75 dollars are worth 375 yuans. How much yuans is a dollar worth?
1 dollar - x yuans
75 dollars - 375 yuans
Applying cross multiplication:
[tex]75x = 375[/tex]
[tex]x = \frac{375}{75}[/tex]
[tex]x = 5[/tex]
Evan gets 5 Chinese yuans for every Australian dollar.
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Determine the quadrant(s) in which (x, y) could be located. (Select all that apply.)
x + y = 0, x = -0, y = 0
0 Quadrant I
Quadrant II
Quadrant III
Quadrant IV
none of these
Financial maths-- multiple choice!!!
What is the risk associated with electronic money management that can arise from a bank not having enough cash on hand?
solvency
liquidity
credit risk
operational risk
Answer:
liquidity
Step-by-step explanation:
when the bank gets only electronic money transfers, they don't get actual money. so, they can use that only for other electronic transfers, but if there is the need for actual money (e.g. a lot of people need a cash payout), the bank is then not able to do that. they don't have enough cash = they are not liquid.
which can actually lead to insolvency.
Find the simple interest on ₹ 4000 at 7.5 p.a. for 3 years 3 months. Also find the amount.
Step-by-step explanation:
it is simple you know
make 3 month into year by 3/12
then solve it using formula
what is the sum of the interior angles of a regular hexagon
Answer:
see below
Step-by-step explanation:
The sum of the interior angles of any polygon can be found with the formula 180(n - 2) where n = number of sides. In this case, n = 6 so the answer is 180(6 - 2) = 180 * 4 = 720°.
Answer:
The sum of the interior angles of a regular hexagon is 720°
Step-by-step explanation:
As we know that the sum of interior angle is 180(n-2). So the number of sides of hexagon is 6. Now, 180(6-2)=180*4=720°
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Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50. The equation 10.50 a plus 3.75 b equals 2071.50, where a is the number of adult tickets sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students attended, how may adult tickets were sold? ___adult tickets
Answer: The number of the adult tickets is 168
Step-by-step explanation: * Lets explain how to solve the problem
- The adults ticket costs $10.50
- The students ticket costs $3.75
- The total money of the opening night is $2071.50
- The equation of the total money earned in the opening night is:
10.50 a + 3.75 b = 2071.50, where a is the number of the adult ticket
and b is the number of the student ticket
- There were 82 students attended
* Lets solve the problem
∵ 10.50 a + 3.75 b = 2071.50
∵ The number of the students attended is 82
∵ b is the number of the students
∴ b = 82
- Substitute the value of b in the equation
∴ 10.50 a + 3.75(82) = 2071.50
∴ 10.50 a + 307.5 = 2071.50
- Subtract 307.5 from both sides
∴ 10.50 a = 1764
- Divide both sides by 10.50
∴ a = 168
∵ a is the number of the adult tickets
∴ The number of the adult tickets is 168
Give credit to ashraf 82
Answer:
The answer is 168
Step-by-step explanation:
The height h (in feet) of an object t seconds after it is dropped can be modeled by the quadratic equationh = -16t2 + h0, where h0 is the initial height of the object. Suppose a small rock dislodges from a ledge that is 255 ft above a canyon floor. Solve the equation h = -16t2 + 255 for t, using the quadratic formula to determine the time it takes the rock to reach the canyon floor.
Answer:
The time it takes the rock to reach the canyon floor is approximately 4 seconds.
Step-by-step explanation:
The equation representing the height h (in feet) of an object t seconds after it is dropped is:
[tex]h=-16t^{2}+h_{0}[/tex]
Here, h₀ is the initial height of the object.
It is provided that a small rock dislodges from a ledge that is 255 ft above a canyon floor.
That is, h₀ = 255 ft.
So, when the rock to reaches the canyon floor the final height will be, h = 0.
Compute the time it takes the rock to reach the canyon floor as follows:
[tex]h=-16t^{2}+h_{0}[/tex]
[tex]0=-16t^{2}+255\\\\16t^{2}=255\\\\t^{2}=\frac{255}{16}\\\\t^{2}=15.9375\\\\t=\sqrt{15.9375}\\\\t=3.99218\\\\t\approx 4[/tex]
Thus, the time it takes the rock to reach the canyon floor is approximately 4 seconds.
Answer:
t=4
Step-by-step explanation:
ed2020
I need help on this question please
Answer:
12 inches
Step-by-step explanation:
Volume of cone = (πr²h)/3
Volume of cone= 113.04 cubic inches
π = 3.14 r= 3 inches
113.04 = [(3.14)(3²)(h)]/3
113.04= 9.42h
h=12 inches