Answer:
The answer would be 333.334 jumps.
Step-by-step explanation:
So remember, there are 1000 meters in 1 kilometer. The frog can jump 3 meters. The nearest water is 1 kilometer. So, lets divide 1 km(1000m) by 3m:
1000/3
=
333.34
This is the answer.
Hope this helps!
What number must be divided by 15 3/4 so that the quotient is 60?
In January, Mrs Jones's business had spent $480 on raw materials. Based on the information in graph, how much money was spent on expenses in March?
Answer:
There is no graph
Step-by-step explanation:
You have a bag that contains 7 red marbles and 5 blue marbles. You randomly choose one of the marbles. Without replacing the first marble, you choose a second marble. Find the probability of these dependent events. Simplify as needed. Choosing a red marble and then a blue marble
Answer:
Step-by-step explanation:
12 marbles in total. The possibility of pulling out a red marble is going to be 7/12. Since you would then take the marble out, you'll have 11 marbles left. After that, it'll be 5/11.
A line of best fit for a data set has equation y = 3x - 4. What y-value would you predict for an x-value of 8 in this data set?
A 4
B. 8
C. 16
D. 20
Answer:
D. 20
Step-by-step explanation:
The line of best fit for the equation is:
[tex]y = 3x - 4[/tex]
When x = 8
We have to find y. So
[tex]y = 3*8 - 4 = 24 - 4 = 20[/tex]
So the correct answer is given by option D.
The cost of a holiday is £2400
Rana pays a deposit followed by monthly payments, in the ratio
deposit : total of the monthly payments = 3:5
She makes 6 equal monthly payments. Work out her monthly payment
She makes 6 equal monthly payments. Then the monthly payment will be £666.67.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The cost of a holiday is £2400. Rana pays a deposit followed by monthly payments, in the ratio deposit: a total of the monthly payments = 3:5.
Then the total of the monthly payment will be given as,
£2400 / Total of the monthly payments = 3:5
Total of the monthly payments = (5/3) x £2400
Total of the monthly payments = £4,000
She makes 6 equal monthly payments. Then the monthly payment will be given as,
Monthly payment = £4,000 / 6
Monthly payment = £666.67
She makes 6 equal monthly payments. Then the monthly payment will be £666.67.
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A van travelled at an average speed of 65 km/hr from town a. 35 minutes later, a car started from town A and drove along the same route as the van. if the car caught up with the van after travelling a distance of 130 km, find the average speed of the car in km/hr
The average speed of the car for the given distance is 91.97 km/hr.
What is speed and velocity?While both speed and velocity are indicators of how quickly an object is travelling, they serve different purposes. The distance travelled in a given amount of time, independent of direction, is referred to as speed, which is the magnitude of the velocity vector. In contrast, velocity is a vector quantity that accounts for both speed and direction. It is measured in units of distance per unit of time in a particular direction and is defined as the rate of change of position of an item with regard to a frame of reference.
Given that, a car started 35 minutes later that is it started after:
35 minutes = 35/60 = 0.5833 hours
Now the distance is given as:
distance = speed x time
Now, for speed = 65 km/hr:
distance = 65t
For the car the time is (t - 0.5833) thus:
distance = speed x time
130 = speed x (t - 0.5833)
Now for speed we have:
30 = s x (t - 0.5833)
130 = st - 0.5833s
130 + 0.5833s = st
130/s + 0.5833 = t
Now, substituting the value of t in the equation of the van we have:
distance = 65t
distance = 65(130/s + 0.5833)
130/s + 0.5833 = distance/65
130/s + 0.5833 = distance/65
130/s + 0.5833 = 130/65
130/s + 0.5833 = 2
s = 91.97km/hr
Hence, the average speed of the car for the given distance is 91.97 km/hr.
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a ranger is at the top of a 200 foot tall lookout tower. she spots a fire at an angle of depression of 3° from the top of her tower. To the nearest tenth of a foot, how far away is the fire?
Step-by-step explanation:
tan3 = 200/x
x = 200/tan3
The question is incomplete. The right question is:
A ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°. To the nearest tenth of a foot, how far away is the fire from the base of the tower?
The distance between the fire and the base of the tower is 3816.2 feet.
What is the concept of height and distances?Heights and Distances is a trigonometric application-based concept, where we try to form a right-angled triangle of the given conditions, take the angles of elevation and depression and try to find the unknowns.
How do we solve the given question?We are given that a ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°.
We are asked to find the distance between the fire and the base of the tower.
We let the 200-foot observation tower be AB. Let the point of fire be C. Join BC and AC to complete the right-angled triangle ABC, with ∠B = 90°. The ranger from the top of the tower has a 3° angle of depression to the fire. We draw the horizontal line of sight AD. Now the angle of depression can be shown by the ∠DAC = 3°.
We let the distance between the fire and the foot of the tower be x foot.
∠BCA = ∠DAC = 3° (alternate angles).
Also, ∠BAC = 180° - 90° - 3° = 87° (using angle sum property of triangles)
In ΔABC,
tan ∠BAC = BC/AB (tan θ = perpendicular/base)
or, tan 87° = x/200
or, x = 200*tan87° = 200*19.0811 = 3816.22 = 3816.2 (rounding to nearest tenth).
∴ The distance between the fire and the base of the tower is 3816.2 feet.
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A snowcone with a radius of 4 cm is sold in a cone-shaped paper cup with a height of 12 cm and an opening 6 cm wide. If all the ice melted in the cup, would it overow?
If the ice melt in the cone shaped cup, it won't overow because the volume of the cone shaped cup is greater than the volume of the snowcone ice.
The snowcone is a sphere.
Volume of a spherevolume = 4 / 3πr³
where
r = radiusTherefore,
volume of the snowcone = 4 / 3 × π × 4³
volume of the snowcone = 256 π/ 3 = 85.33π
Therefore, the volume of the cone canbe found as follows:
volume of the cone shaped paper = 1 / 3 πr²h
h = 12 cm
r = 6cm
volume of the cone shaped paper = 1 / 3 × π × 6² × 12
volume of the cone shaped paper = 144π
Therefore, let find if the ice melt in the cone whether it will overow.
144π - 85.33π = 58.67π
Therefore, the volume of the cone shaped paper is greater than the volume of the snowcone ice . This means that if the ice melt in the cup , it won't overow.
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Determine the value of the expression: 5^4 × 5^8/5^6 Write your answer in exponential notation (in exponent form).
Answer:
5⁶
Step-by-step explanation:
We have
[tex]5^4*\frac{5^8}{5^6}\\\frac{x^n}{x^y}=x^{n-y}\\\frac{5^8}{5^6}=5^{8-6}=5^2\\x^n*x^y=x^{n+y}\\5^4*5^2=5^6[/tex]
In the figure,Line x is parallel to line y. identify the angles congruent to angle 3
Answer:
For example, slide ∠ 1 down the transversal and it will coincide with ∠2. are equal in measure. If two parallel lines are cut by a transversal, the corresponding angles are congruent. If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.
Step-by-step explanation:
write the equation, please.
Answer:
x^2+y^2 = 49
Step-by-step explanation:
This is a circle.
The generic equation of a circle is
(x-h)^2+ (y-k)^2 = r^2
where (h,k) is the center and r is the radius
The center of the circle is at the origin which is (0,0)
The radius is 7
(x-0)^2+(y-0)^2 = 7^2
x^2+y^2 = 49
Answer:
[tex] \displaystyle {x}^{2} + {y}^{2} = 49[/tex]
Step-by-step explanation:
we are given a circle
we want to figure out the equation of the circle
remember that,
[tex] \rm \displaystyle E _{c} : (x - {h)}^{2} + (y - k {)}^{2} = {r}^{2} [/tex]
(h,k) are the centre of the circle
we can clearly see that the centre of the circle is (0,0) and the redious is 7 units
thus substitute:
[tex] \displaystyle (x - {0)}^{2} + (y - 0{)}^{2} = {7}^{2} [/tex]
further simplification is needed:
[tex] \displaystyle {x}^{2} + {y}^{2} = 49[/tex]
and we are done!
PLS HELPP!! thank you
Answer:
$20.71/[tex]ft^{2}[/tex]
Step-by-step explanation:
290 ÷ 14 = 20.71 (rounded)
Students recorded the amount of liquid in fluid Ounces each of them drank In one day. The box plot shows the summary of the results. Amount of Liquid (fluid Ounces) Which statement best describes the data represented in the box plot?
Answer: The correct answer would be F. Half the students drank from 78 to 114 fluid ounces.
Step-by-step explanation:
The statement best describes the data represented in the box plot half the students drank from 78 to 114 fluid ounces. The correct option is F.
What is a box plot?A rectangle is created to represent the second and third quartiles, normally with a vertical line inside to indicate the median value, in a simple way of presenting statistical data on a plot.
Given that students recorded the amount of liquid in fluid Ounces each of them drank In one day. The box plot shows the summary of the results. Amount of Liquid (fluid Ounces).
The highest and the lowest limit of the box plot is range from 78 to 114. The statement best describes the data represented in the box plot half the students drank from 78 to 114 fluid ounces.
Therefore, the correct option for the box plot will be F.
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how do you solve this?
Answer:
x=110(by vertical opposite angle)
Given that a 12 foot long piece of steel pipe weighs 5 pounds per foot, how much does it weigh in kilograms per meter?
1 pound - 0.454 kilograms.
1 foot - 0.305 meters.
A: 6.34 kg/m
B: 6.84 kg/m
C: 7.44 kg/m
D: 7.94 kg/m
Answer:
b
Step-by-step explanation:
if you add it all together that's the answer hope this helps!
which expression is equivalent to 189 1/5 -(-22 2/5)-(-40 1/5),
Answer:
[tex]251 \frac{4}{5}[/tex] or [tex]\frac{1259}{5}[/tex]
pls help to solve this
Answer:
[tex] \underline{ \underline{ \large{ \pink{ \tt{E \: X \: P \: L \: A \: N \: A \: T \: I \: O \: N}}} }}: [/tex]
✧ We know , Reflection of a point on x - axis remains the x - co-ordinate same but the sign of y - coordinate changes i.e P ( x , y ) ⇢ P' ( x , - y ). So, the image of the point ( 8 , 10 ) under the reflection on x - axis is :
A ( 8 , 10 ) ⇢A' ( 8 , -10 )
☄ Hope I helped! ♡
☃ Have a wonderful day/ night ! ♨
[tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex] ✎
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{:}\ [/tex]
now
we have
P(x,y)⇢reflection under x axis⇢P'(x,-y)
P(8,10)⇢reflection under x axis⇢P'(8,-10)
for point (8,10) image is:(8,-10).
The Flying Dutchman, located in St. Martin, is the steepest zipline in the world. While sailing downhill at 56 miles per hour, you lose 1,050 feet of elevation across 2,800 feet of cable. If you are at the top getting strapped in, what is the angle of depression between you and a safe landing at the bottom? (Drawing a diagram may help.)
Answer:
Sine angle A = 1,050 / 2,800
Sine angle A = .375
arc sine (.375) = Angle A
Angle A = 22.024 Degrees
(THIS REPLACES THE PREVIOUS ANSWER.)
Step-by-step explanation:
If 4c + 10= 20 -16c, what is 8c?
Determine whether the Law of Cosines or the Law of Sines is needed to solve the triangle a = 11, b = 13, c = 7
Answer:
Step-by-step explanation:
Use the Law of Cosines:
c^2 = a^2 + b^2 - 2ab*cos C becomes
7^2 = 11^2 + 13^2 - 2(11)(13)cos C.
Once you have cos C, and then side c, you can use the Law of Sines to find the other two interior angles.
Classify this triangle by its sides and angles.
Answer:
right and scalene
Step-by-step explanation:
all the sides are different in length, so it's a scalene triangle, plus, it has a right angle, which makes it a right angled triangle.
Sandra buys stamps that cost $0.65 each. She spends a total of $158.60 on the stamps. To determine how many stamps she buys, she needs to divide $158.60 by $0.65.
How many stamps does Sandra buy?
Answer:
1 Stamp = $0.65
Stamps Bought= $158.60/0.65
=244 Stamps
what is the volume to the nearest tenth
A)34.4yds^2
B)34.38yds^3
C)34.4yds^3
D)34.38yds^2
Answer:
A
Step-by-step explanation:
Which expression is equivalent to -7(y-2)?
A. -7y - 2
B. -7y + 2
C. -7y - 14
D. -7y + 14
Answer:
D) -7y + 14
Step-by-step explanation:
-7 x y = -7y
-7 × -2=14 ( negative times negative equals positive)
HELPPPPPPPPPPP
1. Shown are the final scores for Norm Duke in the past eight bowling tournaments.
299, 281, 285, 269, 280, 269, 286, 287
Part A: What is the mean absolute deviation of Norm Duke’s scores?
A.
7.50
B.
7.00
C.
7.25
D.
6.75
Part B: Based on the mean absolute deviation from Part A, who has been the more consistent bowler if Ryan Shafer has a mean absolute deviation of 7?
A.
Norm Duke has been more consistent because his mean absolute deviation is greater than Ryan Shafer’s.
B.
Ryan Shafer has been more consistent because his mean absolute deviation is less than Norm Duke’s.
C.
Ryan Shafer has been more consistent because his mean absolute deviation is greater than Norm Duke’s.
D.
Norm Duke has been more consistent because his mean absolute deviation is less than Ryan Shafer’s.
Answer:
Part A
C. 7.25Part B
B. Ryan Shafer has been more consistent because his mean absolute deviation is less than Norm Duke’s.Step-by-step explanation:
Given data:
299, 281, 285, 269, 280, 269, 286, 287Part AFind the mean of the data above:
(299 + 281 + 285 + 269 + 280 + 269 + 286 + 287)/8 = 282Find absolute deviations, an absolute value of the difference of data and the mean:
299 - 282 = 17 ⇒ 17 281 - 282 = -1 ⇒ 1285 - 282 = 3 ⇒ 3269 - 282 = -13 ⇒ 13280 - 282 = 2 ⇒ 2269 - 282 = -13 ⇒ 13286 - 282 = 4 ⇒ 4287 - 282 = 5 ⇒ 5Find mean absolute deviation:
(17 + 1 + 3 + 13 + 2 + 13 + 4 + 5)/8 = 7.25Correct choice is C
Part BLess mean absolute deviation is the sign of more consistent data.
Since Ryan Shafer has smaller mean absolute deviation, he has been more consistent 7 < 7.25
Correct choice is B.
Patriciodeposits $500 in the same account that pays a 1.5% simple interest he does not withdraw any money from the account any makes no other deposits how much money does Patricio happiness saving account after 5 years
Answer: $537.5
Step-by-step explanation:
$500 at 1.5% for 5 years
p x r x t = i
500 x 0.015 x 5= 37.5
37.5+500=537.5
Rayyan shares Rs 2000 between his two friends Anas and Ahsan. The ratio of Anas’s share to Ahsan’s share is 6:4
How much money do they each receive?
Answer:
Anas= RS 1200
Ahsan= RS 800
Step-by-step explanation:
Given data
Amount= Rs 2000
Ration= 6:4
Combined ratio = 6+4= 10
Let us apply the part to all method to solve for the individual amount
For Anas
2000/10= x/6
cross multiply
10x= 2000*6
10x= 12000
x= 12000/10
x= 1200
For Ahsan
2000/10= x/4
cross multiply
10x= 2000*4
10x= 8000
x= 8000/10
x= 800
Please help ~ +10 Points ~ 1 Question ~ Math ~ Multiple choice
What is an equivalent equation for each given equation? Which one matches after you do your first step?
6x+10=23
Possible Answers:
A. 6x=13
B. 6x = 33
C. 23 = 10 -6x
D. -23 =-6x+10
Find the area of the shape shown below.
Answer:
To find the area break up the shapes:
The rectangle is A = bh which is 7*3 which is 21.
Triangle: A = 1/2(bh)
A=1/2(3*7)
A=1/2(21)
A=10.5
Now add up the areas:
21+10.5
=
31.5
The answer is 31.5 units.
number 2 and number 3