The time taken by to students to learn the dance routine is 7.5 hours, and the value of 7.5 hours is 450 minutes. Hence, students needs to take 10 dance classes to learn the routine.
Given information:
The dance class is having the time 3/4 hour, and the value of 3/4 hour is 45 minutes.
The time taken by to students to learn the dance routine is 7.5 hours, and the value of 7.5 hours is 450 minutes.
According to the question,
The number of classes [tex]N[/tex] students have to attend to learn a dance routine can be written as,
[tex]N=\dfrac{450}{45}\\N=10[/tex]
Hence, from the above calculation one can conclude that, students needs to take 10 dance classes to learn the routine.
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Dave walked a distance of 40 meters to the north. It took him 50 seconds. What was his velocity?
A. 1.25 m/s north
B. 5 m/s north
C. 4 m/s north
D. 0.8 m/s north
Can someone help me please and thank you
2. PB and J Array Ken has made a selection of square jam sandwiches for party, which he arranges in a single layer on the table in perfect rectangle. Sarah has brought along the same number of square peanut butter sandwiches, which she puts out, also as a single layer, to form a border vA (one sandwich wide) around Ken's Given that all of the sandwiches are the same size and they are all used, how many sandwiches could each person possibly have made?
Let's assume Ken arranged his sandwiches in a rectangular shape with length 'L' and width 'W'. Now Sarah arranged her sandwiches to form a border around Ken's rectangle. The solution diagram is attached below.
Ken needs as much sandwiches as area of rectangle i.e. number of Ken's sandwiches would be = LW.
It is clear that Sarah needs as much sandwiches as perimeter of rectangle and extra four sandwiches to put on corners. It means number of Sarah's sandwiches would be = 2·(L+W) + 4.
Given that all of the sandwiches are the same size and they are all used.
Ken and Sarah bought same number of sandwiches. So we need to solve the following equation :-
Number of Ken's sandwiches = Number of Sarah's sandwiches
LW = 2·(L+W) + 4
Using trial and error approach, we get 6 x 4 = 2 x (6 + 4) + 4.
So number of Ken's sandwiches would be LW = 6 x 4 = 24 sandwiches.
Hence, final answer is "Each person could have 24 sandwiches".
Circles with centers (2,1) and (8,9) have radii 1 and 9, respectively. The equation of a common external tangent to the circles can be written in the form y=mx+b with m < 0. What is b?
6TH GRADE MATH
someone please solve this
morris rarely arrives home before 4:00 p.m. it is now 3:20 p.m. estimate the probability that morris will arrive home in the next 30 minutes
Two angles are complementary. If one angle measures 32 degrees, what is the measure of the second angle?
Select one:
A. 48 degrees
B. 148 degrees
C. 58 degrees
D. 68 degrees
Two angles are complementary if they add up to 90 degrees. If one angle measures 32 degrees, the other angle measures 58 degrees, which is found by subtracting 32 from 90.
Explanation:The question is asking about complementary angles, which are two angles that add up to 90 degrees. If one angle measures 32 degrees, we can find the measure of the second angle by subtracting 32 degrees from 90 degrees since the two angles must sum to 90 degrees.
The calculation would be: 90 degrees - 32 degrees = 58 degrees.
Therefore, the measure of the second angle is 58 degrees, making the correct answer:
C. 58 degrees
Please help me I don't know this
Simplify the expression 53 + 3(5 − 3). 137 131 27 21
Answer:
Its 131, I did the test, and got it right.
Explanation:
David and Ryan go to the movie theater and purchase refreshments for their friends. David spends a total of $24.75 on 3 bags of popcorn and 5 drinks. Ryan spends a total of $33.00 on 9 bags of popcorn and 4 drinks. Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. Using these equations, determine and state the price of a drink, to the nearest cent.
Final answer:
To find the price of one drink, we create a system of equations based on the purchases at the movie theater and solve it using the elimination method. The calculated price of one drink is $3.75, to the nearest cent.
Explanation:
David and Ryan's purchases at the movie theater can be represented by the following system of equations to find the price of one bag of popcorn (p) and one drink (d):
3p + 5d = 24.75
9p + 4d = 33.00
We'll solve this system using the substitution or elimination method. For this example, we will use the elimination method.
Multiply the first equation by 9 and the second by 3 to equalize the coefficients for p:
(3p + 5d) × 9 → 27p + 45d = 222.75
(9p + 4d) × 3 → 27p + 12d = 99.00
Subtract the second equation from the first:
27p + 45d - (27p + 12d) = 222.75 - 99.00
33d = 123.75
Divide by 33 to find the price of one drink:
d = 123.75 / 33
d = 3.75
So, the price of one drink is $3.75, to the nearest cent.
Please help me on this
Need help with 3 and 4.
What must be done before adding or subtracting fractions
The graph below shows a line segment PQ:
Graph of line segment PQ with endpoints at negative 2 comma 1 and 4 comma 4
What is the slope of the line segment PQ?
−2
−1 over 2
1 over 2
2
the sales tax on a $350 computer is $22.75 find the sales tax
The base of a parallelogram is 10 inches the height is 2 inches more than half the base find the area
Given is a parallelogram whose base is b = 10 inches and it says height is 2 more than half-value of base i.e. h = 2 + (b ÷ 2).
So height is h = 2 + (10 ÷ 2) = 2 + 5
⇒ h = 7 inches.
We know the formula for area of parallelogram is given as follows :-
Area of parallelogram = base x height
Area of parallelogram = 10 inches x 7 inches
Area of parallelogram = 70 squared inches.
Hence, the final answer is 70 squared inches.
Final answer:
To get the area of the parallelogram, first determine the height, which is 5 inches plus 2 inches, totaling 7 inches. Using the formula (base × height), the area is calculated as 10 inches times 7 inches, resulting in 70 square inches.
Explanation:
To find the area of the parallelogram, we need to identify its base and height. The base is already given as 10 inches. Next, we calculate the height, which the problem states as '2 inches more than half the base.' First, we find half of the base: 10 inches / 2 = 5 inches. Then, add 2 inches to get the height: 5 inches + 2 inches = 7 inches. Now we have the height of the parallelogram.
Using the formula for the area of a parallelogram (base × height), we can now calculate the area.
Area = 10 inches × 7 inches = 70 square inches.
Thus, the area of the parallelogram is 70 square inches.
What do I put? I am having so much trouble with this.
is the following growth or decay? f(x)= 3(0.4)^x
Gracie read 150 pages of a book she got for her birthday the book is 227 pages long whats the right equation
What’s the surface area
Bill pays $49 for an item after it has been discounted 30%. What was the original price of the item?
Socks cost $5 per pair. The expression 5p represents the cost in dollars of p pairs of socks. Why must p be a whole number?
Answer:
Step-by-step explanation:
p must be a whole number because $5 which is the cost of socks per pair is a perfect divisor of the expression 5p.
i.e 5p/5 = p
And in the expression p represent number of pairs
two attendants earn $6240 and $6220 per annum, respectively, exclusive of a bonus of $2640 per annum.
if both have a pension deduction of 20%,the difference in the pension deduction of the two attendants on a semimonthly basis is..........?
The perimeter of a rectangle is 80x. The base is two times the height. In terms of x, what are the dimensions of the rectangle?
a.
h = 10x; b = 10x
c.
h = 10.3x, b = 20.6x
b.
h = 13.3x; b = 26.6x
d.
h = 5x; b = 25x
Rick shared his bag of grapes with his friends. He gave 2/10 of the bag to Melissa and 4/10 of the bag to Ryan. What fraction of the bag of grapes does Rick have left?
After giving away 2/10 of his grapes to Melissa and 4/10 to Ryan, Rick has 4/10 of his bag of grapes left.
Explanation:Rick gave away part of his bag of grapes to his friends: 2/10 to Melissa and 4/10 to Ryan. To find out what fraction of the bag he has left, we need to add together the fractions that he gave away and then subtract this from the whole bag, which is represented by the fraction 1 (or 10/10).
Rick gave away:
Melissa: 2/10
Ryan: 4/10
Total given away: 2/10 + 4/10 = 6/10
Fraction of the bag Rick has left:
1 (or 10/10) - 6/10 = 4/10
Therefore, Rick has 4/10 of the bag of grapes left after sharing with his friends.
To find out how much of the bag of grapes Rick has left, we need to subtract the fractions that he gave to Melissa and Ryan from 1. Rick has 2/5 of the bag of grapes left.
Explanation:To find out how much of the bag of grapes Rick has left, we need to subtract the fractions that he gave to Melissa and Ryan from 1.
Given that Rick gave 2/10 of the bag to Melissa and 4/10 of the bag to Ryan, we can calculate the fraction of the bag he has left by subtracting these two fractions from 1:
1 - 2/10 - 4/10 = 1 - 6/10 = 4/10 = 2/5
Therefore, Rick has 2/5 of the bag of grapes left.
What is the effect if two parallel lines are rotated 90° clockwise? A)change'direction but remain parallel
B) change direction but are now perpendicular
C) no longer parallel because one line changed direction
D)no longer parallel because two lines changed direction (NEED HELP)
Option: A is the correct answer.
A) change direction but remain parallel.
Step-by-step explanation:We know that when same rigid transformation is applied to two lines which are parallel to each other ,then after rigid transformation they will behave the same i.e. same relationship hold between the two the only difference will be in their location.
Hence, when the both the parallel lines are rotated 90° clockwise then the direction of the line will change but they will remain parallel.Need help with 8 plz help me thx
PLEASE HELP ASAP!!! ON TIME LIMIT!!!
The figure below shows a shaded rectangle inside a large rectangle:
https://learn.flvs.net/webdav/assessment_images/educator_mjmath2_v14/06_14_p1_27.jpg
If you choose a point inside the large rectangle, what is the probability that it is not inside the shaded rectangle?
24%
27%
46%
54%
A spider ate 25% more bugs this month than last month. The spider ate 8 bugs last month. How many bugs did the spider eat this month
Answer: 10 bugs.
Step-by-step explanation:
The kinetic energy K (in joules) of a falling apple is represented by K=v squared divided by 2 where v is the speed of the apple (in meters per second). How fast is the apple traveling when the kinetic energy is 32 joules?
Answer:
8 meters per second
Step-by-step explanation:
Hi, to answer this question we simply have to substitute k=32 in the formula given and solve for v.
K= (v ^ 2) /2
Substituting K=32
32 = (v ^ 2) /2
Solving for v:
32x2= v ^ 2
64 =v ^ 2
√64 =v
8 =v
v= 8 meters per second
When the kinetic energy is 32 joules, the apple is traveling at a speed of 8 m/s.
Feel free to ask for more if needed or if you did not understand something.