The number 16 is 4/5 fractional part of 20.
What is mean by Fraction?
A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
Let the fraction part of 16 = x
So, We can formulate;
⇒ 16 = x × 20
⇒ x = 16 / 20
⇒ x = 4/5
Thus, The number 16 is 4/5 fractional part of 20.
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in the right triangle what is the value of pq
In this Pythagorean theorem question, The value of pq in the right triangle is 8 cm. Therefore, the correct answer is option C.
The given triangle is a right triangle, with two sides measuring 17 cm and 15 cm. The side opposite the right angle (perpendicular) is represented by the variable pq.
To find the value of pq, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. So, applying the Pythagorean theorem:
a2 + b2 = c2
(15 cm)2 + pq2 = (17 cm)2
225 cm2 + pq2 = 289 cm2
pq2 = 289 cm2 - 225 cm2
pq2 = 64
pq = √64
pq = 8 cm
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Please help me on this
is the following growth or decay? f(x)= 3(0.4)^x
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?
Look at the following math problems. 10 + 2 = 12 12 − 2 = 10 What are these operations called?
They are called inverse operations:
What is it defining?
It took Jen, who biked at a speed of 12 mph, 20 minutes to get home. What is Jim’s speed, if it took him only 15 minutes to bike that distance?
Answer:
16 mph
Step-by-step explanation:
The expression 3/4×1/2 represents a fraction of a circle that is shaded. Which diagram shows the correct shading?
Define oblique prism.
An oblique prism can be thought of as a leaning prism where the altitude or height of the prism is not the same as the lateral edge of the prims.
Jim has a quarter and Jane has a number cube. In two or more complete sentences, explain why Jim is just as likely to get a head as Jane is to get an even number.
Jim is just as likely to get a head as Jane is to get an even number since the chance or probability of getting a head for Jim and getting a even number for Jane are equal i.e. 1/2=0.5
Step-by-step explanation:In a quarter there are just two outcomes-- Head and Tail
The probability of getting a head is: 1/2
Similarly in a number cube that has six possible outcomes i.e. {1,2,3,4,5,6}
The number of outcomes that represents a even number are: 3
(Since outcomes are: 2,4 and 6)
Hence, the probability of getting a even number is: 3/6=1/2
Hence, we see that the probability of getting a head and a even number is same.
in circle P, chord AB is 3 inches from the center and chord CD is 5 inches from the center. Chord CD is ____ than chord AB.
A. longer
B. congruent
C.shorter
D. proportional
Jeremy has saved $440 from his summer job. He plans to set aside $55 each week for his expenses. Several weeks later he has $110 left.How many weeks have passed?
To find out how many weeks have passed, we subtract the remaining amount from the initial amount, and then divide by the amount saved each week. In this case, 6 weeks have passed.
Explanation:To find out how many weeks have passed, we need to subtract the remaining amount from the initial amount, and then divide by the amount saved each week.
Initial amount saved = $440
Amount saved each week = $55
Remaining amount = $110
Weeks passed = (Initial amount saved - Remaining amount) / Amount saved each week
= ($440 - $110) / $55
= $330 / $55
= 6 weeks
Therefore, 6 weeks have passed.
Chang and Cal both collect pearls. Chang has three more pearls in her collection than Cal. Write an expression to represent the total number of pearls in both collections.
What’s the surface area
Explain when you know you need to rename a mixed number to subtract.
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:
Order
please least to greatest
55% of 387 is what number
Simplify the expression 53 + 3(5 − 3). 137 131 27 21
Answer:
Its 131, I did the test, and got it right.
Explanation:
Quadrilateral ABCD is inscribed in a circle. What’s the measure of angle B
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%
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.
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
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.
why is one half of the Box wider than the other half of the box
Ling must spend no more than $40.00 on decorations for a party. She has spent $10.00 on streamers and wants to buy bags of balloons as well. Each bag of balloons costs $2.50. The inequality below represents x, the number of bags she can buy given the spending limit and how much she has already spent on streamers.
10+2.5X_<40
Which best describes the number of bags of balloons she can buy?
A.She can buy from 0 to 12 bags, but no more.
B.She can buy from 0 to 20 bags, but no more.
C.She must buy 12 or more bags.
D.She must buy 20 or more bags.
Answer:
Option A is the correct choice.
Step-by-step explanation:
We have been given that Ling must spend no more than $40.00 on decorations for a party. She has spent $10.00 on streamers and wants to buy bags of balloons as well. Each bag of balloons costs $2.50.
The inequality [tex]10+2.5x\leq 40[/tex] represents x, the number of bags she can buy given the spending limit and how much she has already spent on streamers.
Let us solve for x by subtracting 10 from both sides of our inequality.
[tex]10-10+2.5x\leq 40-10[/tex]
[tex]2.5x\leq 30[/tex]
Now we will divide both sides of our inequality by 2.5.
[tex]\frac{2.5x}{2.5}\leq \frac{30}{2.5}[/tex]
[tex]x\leq 12[/tex]
Therefore, Ling can buy from 0 to 12 bags, but no more and option A is the correct choice.
Convert. Into degrees
the sales tax on a $350 computer is $22.75 find the sales tax
PLZ HELP Harry baked a cake in the shape of a right rectangular prism and cut it in half parallel to the base of the cake. The base is 6 inches long and
4 inches wide, and the cake is 5 inches tall. Harry puts icing on the surface of each half of the cake. What is the shape of the cross section? What is the total area that is iced?
The cake’s cross section is a . The total area that is iced is square inches.
1/a.rectangle.b.square.c.kite.d.trapezoid
2/a.40.b.48.c.60.d.84
The answer is B, a square. I don't know about the area though.
A car maintains a speed of 23 mi/h for 5 seconds. It then accelerates to a speed of 46 mi/h in 5 seconds. It maintains that speed for the next 5 seconds. Which graph shows the car’s speed over time?
(80 points)
A car maintains a speed of 23 mi/h for 5 seconds. It then accelerates to a speed of 46 mi/h in 5 seconds. It maintains that speed for the next 5 seconds. Which graph shows the car’s speed over time?
Solution:
The graph is Time versus Speed.
In figure (a), the graph has a speed or y-axis=23mi/h for time or x-axis=5seconds.
The car maintains a speed of 23mi/h for 5 seconds.
For next 5 seconds, in figure a the graph increases linearly or we have a acceleration and reaches to 46mi/h.
It accelerates to a speed of 46 mi/h in 5 seconds.
It maintains that speed for the next 5 seconds. In figure (a), after we reach speed=46mi/h, there is a straight line for 5 seconds at speed=46mi/h.
So, Answer Graph a