At a competition with 8 runners, 2 medals are awarded for first and second place. Each medal is different. How many ways are there to award the medals?
Answer:
56
Step-by-step explanation:
At a competition, there are 8 runners
2 medals are awared for first and second place
Therefore the eat to award the medal van be calculated as follows
8×7
= 56
[tex]10 \times 10 + 8 - 6 + 5 = [/tex]
[tex]6 - 5 \div 6 + 9 = [/tex]
[tex]4 + 4 - 4 + 4 + 5 = [/tex]
Johnny bought 10 cupcakes for 12 dollars, how much would 15 cost?
Answer:
18
Step-by-step explanation
10=12
must mean 5=6
12+6=18
15=18
18 dollars
he also has diabetes and drinks diet coke
In the diagram below, BC = QR = x, AC = PR = y, and triangle PQR is a right
triangle. Use the drop-down menus to complete the proof that if the equation
22 + y2 = z2 is true of the side lengths in triangle ABC, then triangle ABC must be a right
triangle.
P
y у
y
B
R
х
Q
x2 + y2 = 22
Triangle PQR is a right triangle
Click the arrows to cho
from each menu.
Triangle PQR is given to be a right triangle, so the Pythagorean theorem can be used to
Applying the Pythagorean theorem, we have ΔPQR ≅ ΔABC. then we would have: ∠ACB = ∠PRQ = 90°
What is the Pythagroean Theorem?The pythagorean theorem states that the square of the longest side (hypotenuse) of a right triangle is always equal to the sum of the squares of the other two sides (legs) of the right triangle.
Since we know that ΔPQR is a right triangle, then:
x² + y² = PQ²
We are also given that x² + y² = z², so by substitution, we have:
z² = PQ², which makes both triangles have corresponding congruent sides. Therefore, ΔPQR ≅ ΔABC.
Using the corresponding parts of the congruent triangles, we can conclude that: ∠ACB = ∠PRQ = 90°.
Learn more about the Pythagorean theorem on:
https://brainly.com/question/343682
#SPJ2
2 CDs and 9 DVDs cost £69. 2 CDs and 6 DVDs cost £48. i. Form a pair of simultaneous equations to represent these two sentences ii. Solve the simultaneous equations to find the cost of 1 CD and 1 DVD.
Answer:
Cost of 1 CD = x = £3
Cost of 1 DVD = y = £7
Step-by-step explanation:
Let us represent:
Cost of 1 CD = x
Cost of 1 DVD = y
i. Form a pair of simultaneous equations to represent these two sentences
2 CDs and 9 DVDs cost £69.
2x + 9y = 69.... Equation 1
2 CDs and 6 DVDs cost £48.
2x + 6y = 48..... Equation 2
ii. Solve the simultaneous equations to find the cost of 1 CD and 1 DVD.
Combining both equations together:
2x + 9y = 69.... Equation 1
2x + 6y = 48..... Equation 2
We substract Equation 2 from Equation 1
3y = 21
y = £7
Solving for x using Equation 1
2x + 9y = 69.... Equation 1
2x + 9 × 7 = 69
2x + 63 = 69
Collect like terms
2x = 69 - 63
2x = 6
x = 6/2
x = £3
Therefore,
Cost of 1 CD = x = £3
Cost of 1 DVD = y = £7
please help me out thank you so much whoever does !!
Answer:
62°
Step-by-step explanation:
A right angle is 90 degrees, so we'd do 90 - 28 = 62
hope this helps!
Two divers are underwater. Nick is 33 feet below the surface. Tristan is 15 feet above him. What is Tristan's depth?
Answer:
Tristan is 18 feet below the surface. or Tristans depth is -18ft
Step-by-step explanation:
if Nick is -33 depth and Tristan is 15 feet above him, then you d
-33+15 = -18
so Tristan must be at -18 depth
Someone help plz make sure it’s right will mark brainiest if it is
Answer:
B 33°
Step-by-step explanation:
sin x = 29/53
= 33.17
PLZ HELP!!! I’ve retaken this like 4 times and I just don’t get it I need the answer plz
Answer:
a) 65 degrees
b) 60 degrees
Hope that helps! Good luck! :)
-Aphrodite
Step-by-step explanation:
help me please ill choose brainliest if bestt
What is the minimum?
Awnsers:
48
50
45
49
34
Answer:
45
Step-by-step explanation:
Mr. Jackson paid for his purchase of fishing equipment with $75. He bought 16 weights and 24 packages of worms. The cost of each weight was $1.16, and the cost of each package of worms was $2.25. How much change should Mr. Jackson receive?
Answer:
2.44$
Step-by-step explanation:
75$ - 18.56 (weights) = 56.44
56.44$ - 54 (worms) = 2.44$ extra
The cost of a new television is $948. If the value of the television decreases by 4.5 every year, which function models the value of this television x years after it was purchased?
If x = 5 and y = 0, which is the value of 62x3y8?
A. 7750
B. 1000
C. 930
D. 80
E: 0
Light travels at approximately 2.998 x 10^5 kilometers per second. There are 6.048 x 10^5 seconds in one week. About how many kilometers does light travel in one week?
A 1.813 x 10^5
B 1.813 x 10^10
C 1.813 x 10^11
d 1.813 x 10^25
Pricilla is driving home from work after dark and the outside temperature is 35°F. Determine which event is unlikely.
A. Priscilla will turn on the radio.
B. Priscilla will turn on the heater.
C. Priscilla will turn on the headlights.
ONLY ANSWER IF YOU KNOW PLZ HELPP
OD. Priscilla will turn on the air conditioner.
Lots of points and brainliest!!!
A system of inequalities can be used to determine the depth of a toy, in meters, in a pool depending on the time, in seconds, since it was dropped. Which constraint could be part of the scenario?
The pool is 1 meter deep.
The pool is 2 meters deep.
The toy falls at a rate of at least a Negative one-half meter per second.
The toy sinks at a rate of no more than a Negative one-half meter per second.
Answer:
The toy falls at a rate of at least a Negative one-half meter per second.
Step-by-step explanation:
Answer:
the awnser is a or the pool is 1 meter deep
Step-by-step explanation:
i am smart and i got it right when i did it
Factor the following: 25x^2 + 30x = 0
Answer:
= 0
= − 6 /5
Step-by-step explanation:
You can use the quadratic formula or just factor it.
Find the Common factor
rewrite in factored form
Create separate equations
then solve
Answer
5x(5x+6)=0
Step-by-step explanation:
Factor 5x out of 25x^2+30x
Which is a reasonable estimate for 7473 - 2875
Answer: the answer is 4,598.
whst number represents 3.5 x 10^9
Answer:
B - 3,500,000,000
Step-by-step explanation:
no explanation provided
help and pls get it right
Answer:
V= 32Step-by-step explanation:
Multiply all lengths and the answer will be your volume.
2 x 2 x 8 = 32
Answer:
32 in ^3
Step-by-step explanation:
fill in the table using this function rule.
y=5x-3
Wendy randomly chooses a positive integer less than or equal to 2020. The probability that the digits in Wendy's number add up to 10 is m/n, where m and n are relatively prime positive integers. Find m+n.
Answer:
107
Step-by-step explanation:
Probability = numbers that add up to 10 / total of numbers
There are 120 positive integers between 1 - 2020 that add up to 10.
120 / 2020
convert to its simplest form by dividing by 20
6 / 101
m + N = 101 + 6 = 107
Hiiiooo! Can someone please help me out with this!❤️
Answer:
8
Step-by-step explanation:
6² + b² = 10²
36 + b² = 100
-36 -36
b² = 64
[tex]\sqrt{64}[/tex] = 8
b² = 8
hope this helps
Susanna baked a cake she and her family ate ⅜ of the cake and gave ⅛ of the cake to her neighbor to eat how much cake does susanna have left
Answer:
They would have 4/8 left or 1/2 reduced
Step-by-step explanation:
Because they ate almost half then gave the last bit to the neighbor so they have 4/8 of there cake left or reduced 1/2 of their cake left
5 1/2in
10in
6 1/4in
Answer:
5 1/2in
10in
6 1/4inhhjghtdddyggkkjh
Two sides of a triangle have lengths of 9
and 18. Which inequality represents the
possible length for the third side, x?
A. 9 < x < 18
B. 18 < X < 9
C. 9
D. 18 < X < 27
D) 18 < X < 27
Because the length of the third side has to lesser that the sum of the other two sides
Answer:
I think that a option is correct
"A.9 <x<18"
Step-by-step explanation:
HOPE IT HELPS YOU:)
Harry is reading a book that is 597 pages long. He tells a friend that he is about 2/3 of the way done. About how many more pages must Harry read before he finishes the book? PLEASE HELP MEEEEE!!
Answer:
Harry needs to read 199 more pages
Step-by-step explanation:
2/3 x 597 = 398
597 - 398 = 199
Points (-3, 3) and (2, -9) are located on the coordinate plane. What is the distance between these two points?
Answer:
13
Step-by-step explanation:
pythagorean theorem, draw a vertical and horizontal line 5^2+12^2= 13^3
solve for x
10/3=x/(-5/2)
Answer:
X=(10/3)*(-5/2)
X=-8.33
Answer:
-25/3
Step-by-step explanation:
khan said so