Their new velocity after the collision is 2.97m/s
Collision of an objectAccording to the law of momentum, the sum of momentum of bodies before the collision is equal to their sum after the collision.
The formula for calculating the momentum of a body is expressed as:
Momentum = mass * velocity
According to the law
m1u1 + m2u2 = (m1 + m2)v
v is the new velocity after the collision
Substitute the given values
1000(3) + 10(0) = (1000+10)v
3000 = 1010v
v = 3000/1010
v = 2.97m/s
Hence their new velocity after the collision is 2.97m/s
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help me solve for x and y .
Answer:
Step-by-step explanation:
Answer:
x = 20y = 114°Step-by-step explanation:
An exterior angle of a triangle is equal to the sum of the remote interior angles.
(3x +6)° = 31° +35°
3x +6 = 66 . . . . . . . . . . divide by °, collect terms
3x = 60 . . . . . . . . subtract 6
x = 20 . . . . . . . divide by 3
The value of y is the supplement of (3x+6)°, and of the sum (31 +35)°.
y = 180° -66° = 114°
The values of x and y are 20 and 114°, respectively.
Dennis biked 8 km and Patrick ran 6,172 m. Who traveled farther and by how much?
Answer:
Dennis : 4.971 miles
Patrick : 3.835 miles
Dennis ran 1.136 miles farther
**PLS HELP ILL GIVE BRAINLIEST** Explore
Fill in each blank with a number or expression such that each row and column has the same sum.
The missing expressions to the empty blanks are 2x, 2x - 1, x - 1 and x + 3.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Sum of each row = sum of each column = x + 2 + x + 2 = 2x + 4
Hence:
a + x + 2 + 2 - x = 2x + 4
a = 2x
b + 5 - x + x = 2x + 4
b = 2x - 1
c + 5 - x + 2x = 2x + 4
c = x - 1
d + 2 + x - 1 = 2x + 4
d = x + 3
The missing expressions to the empty blanks are 2x, 2x - 1, x - 1 and x + 3.
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Donetta is investing $6000 in a stock fund that is offering a constant annual interest of 5%.
The interest in investing $6000 in a stock fund that is offering a constant annual interest of 5% is $300
What is interest?
Interest is the amount of money made from investing a particular amount of money over a period of time. It is given by:
I = PRT
I is interest, P is principal, R is rate and T is period
Donetta is investing $6000 in a stock fund that is offering a constant annual interest of 5%. Hence in one year:
I = 6000 * 5% * 1 year = 6000 * 0.05 * 1 = $300
The interest in investing $6000 in a stock fund that is offering a constant annual interest of 5% is $300
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The Venn diagram shows people go to work
Answer:
If B stands alone in the option,B is the answer.But if it doesn't,choose none or neither
Step-by-step explanation:
Mutually exclusive events are events that do not occur at the same time.On the venn diagram,mutually exclusive events do not overlap. Hence, B is a mutually exclusive event because W and T overlap. Since B doesn't stand alone in any option,the answer is none
A bag contains 60 marbles that are red, blue, and green. The ratio of red to blue marbles is 13:3, and the ratio of blue to green marbles is 3:4, If 3 marbles are removed and replaced with 3 green marbles, what will be the new ratio of red to green marbles?
I'm Confused can someone help?
Answer: 6:4
Step-by-step explanation: The total of marbles doesn't change just the green total total.
Answer:
3 marbles of what are removed (green red or blue)
Step-by-step explanation:
60 marbles=red+blue+green
red:blue
(13 : 3)
blue:green
( 3 : 4)
red:blue:green
13 : 3 : 4
13/20×60=39 red marbles
3/20 × 60=9 blue marbles
4/20× 60= 12 green marbles
60-3
=57
x-3
can you please help with this please.
Answer: The following is listed below.
Step-by-step explanation: The following pairs are below:
3 quarters (.75￠): 7 dimes and 1 nickel.9 dimes (.90￠): 3 quarters and 3 nickels.17 nickels (.85￠): 8 dimes and 1 nickel.1 dollar and 3 quarters ($1.75): 7 quarters.11 dimes ($1.10): 22 nickels.3 dimes (.30￠): 6 nickels.5 quarters ($1.25): 25 nickels.6 dimes (.60￠): 2 quarters and 1 dime.13 nickels (.65￠): 2 quarters and 3 nickels.1 dollar and 8 dimes ($1.80): 18 dimes.Now, all you have to do is do the following pairings that I listed above with a partner and you're all good to go!
Remember, 0.25￠is a quarter, 0.10￠is a dime, 0.05￠is a nickel, and 0.01￠is a penny.
Have a great day! :)
use the image to match the arc/angle measure.
(there is one more option that i wasn’t able to get in the photo it is 67°
Answer:
The following measurements are:
[tex]m\angle{STR}=23^\circ[/tex] (Option #4)
[tex]m{QT}=142^\circ[/tex] (Option #7)
[tex]mST=134^\circ[/tex] (Option #5)
[tex]mRQ=38^\circ[/tex] (Option #2)
Step-by-step explanation:
To begin, we can find the measure of [tex]\angle{STR}[/tex] by applying the inscribed angle theorem: an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.
Since the intercepted arc (RS) is 46 degrees, we have:
[tex]46=2\theta\\23=\theta[/tex]
Next, we can find the measure of arc QT using the same theorem. So,
[tex]QT=2(71)\\QT=142[/tex]
Notice that the chord RT is actually a diameter. From the theorem about the inscribed angle including a diameter, we know that the intercepted arc will have a measure of [tex]180^\circ[/tex]. Since the arc ST is part of the arc RST, and we know RS is [tex]46^\circ[/tex], we can set up and solve this equation:
[tex]RST = RS + ST\\180 = 46 + ST\\134 = ST[/tex]
We can use the same idea to find RQ. We know that RQT is [tex]180^\circ[/tex] and QT is [tex]142^\circ[/tex], so:
[tex]RQT = RQ + QT\\180 = RQ + 142\\38 = RQ[/tex]
Find the perimeter of the polygon with the vertices H(3, 2), I(5, 2), J(5, 7), K(3, 7).
Answer:
14
Step-by-step explanation:
2x((5-3)+(7-2)) = 14
Jordan writes 3(4x – 8) = 12x – 8
Explain why his expansion is not correct
Complete the following table and write down each of the expansions
x x -2
x
X (X – 2)
A rectangle at 0,0 and 3,0 and 0,6 what is the area of the rectangle
Answer:
is the amount of space it occupied 18
HELP SOMEONE please review the image :D
Mr.B called Mrs.A, then called Ms.C. If Mr.B called Ms. C first, then Mrs. A, what property does this mimic? Associative, Commutative, or Distributive property.
8) Simplify.
5(3x – 3) + 4(6x - 12)
Answer:
39x - 63
Step-by-step explanation:
5(3x - 3) + 4(6x - 12) ← distribute both parenthesis
= 15x - 15 + 24x - 48 ← collect like terms
= 39x - 63
How to find the area of composite figure steps
Answer: To find the area of a composite figure or other irregular-shaped figure, divide it into simple, nonoverlapping figures. Find the area of each simpler figure, and then add the areas together to find the total area of the composite figure.
Step-by-step explanation:
An equation is shown below: 2(7x − 3) = 9 Which of the following correctly shows the beginning steps to solve this equation? (4 points)
Answer:
The next step is: 14x - 6 = 9. The answer to this equation would be: x = 15/14.
Step-by-step explanation:
To solve this equation first you expand:
14x - 6 = 9
Then solve from there:
14x = 15
x = 15/14
Hey there!
Use the distributive property and distribute 2:
2(7x-3)=9
14x-6=9
Now, add 6 to both sides (remember the golden rule of algebra)
14x=15
divide both sides by 14
x=15/14 (improper fraction)
x=1+1/14 (mixed number)
Hope everything is clear.
Let me know if you have any questions!
#ILoveLearning
:-)
What percent of 72 is 9?
O 1/8% O 1 1/4% O 12 1/2% O 125%
Answer:
1/8%
Step-by-step explanation:
just divide the 72 and 9 , the 9 divide it as a percentage
Step-by-step explanation:
100% = 72
1% = 100%/100 = 72/100 = 0.72
9 is that many % as 1% fits into it.
so,
9/0.72 = 12.5% = 12 1/2 %
the third answer option is correct.
pls answer carefully
Answer:
The value of k = 16 and the measure of unknown angle is 48°
Step-by-step explanation:
=> 84°+48°+3k° = 180° { The sum of angles of a triangle is 180° }
=> 132°+3k° = 180°
=> 3k° = 180°-132°
=> 3k° = 48°
=> k = 48/3
=> k = 16
The measure of unknown angle is 3×k = 3×16 = 48°
what is 68% as a fraction
The percentage 68% is converted into a fraction number as 17/25.
What is a fraction number?A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of a numerator and a denominator.
The amount of any product is presented as though it were a percentage of a hundred. The ratio is one-quarter of one hundred.
The faction number is given in the form of a percentage. Then the percentage is converted into a decimal number by dividing 100.
⇒ 68%
⇒ 0.68 x 100 / 100
⇒ 68 / 100
⇒ 17 / 25
The percentage 68% is converted into a fraction number as 17/25.
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4
True or False: The probability of an event can be greater than 1.
A True
B False
<
Answer:
False
Step-by-step explanation:
probabilities are or are between 0 and 1
1 means complete certainty
toppr
Will give brainiest!!!!
Jocelyn participates in three track events: the 200-meter sprint, the 400-meter hurdles, and the 800-meter run. She calculated the mean absolute deviation of her race times throughout the season in each event.
200-meter sprint: mean absolute deviation of 2.05
400-meter hurdles: mean absolute deviation of 2.82
800-meter run: mean absolute deviation of 1.9
In which event were her times the most spread out?
200 meter sprint
800 meter run
400 meter hurdles
Answer:
The awnser is 400 meter run
Step-by-step explanation:
i took the quiz
The mean absolute deviation shows that the event were her times the most spread out is C. 400 meter hurdles.
What is a mean absolute deviation?It should be noted that the mean absolute deviation means the average distance that's between each data point and the mean.
In this case, the mean absolute deviation shows that the event were her times the most spread out is 400 meter hurdles. This was illustrated as it has has the highest mean absolute deviation when compared to others.
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What is the value of the expression 3+(8-4)x2-4
Answer:
7
Step-by-step explanation:
First, do what's inside the parentheses.
Second, do the multiplication
Third, add.
Lastly, subtract
3+(8-4)x2-4
3+4x2-4
3+8-4
11-4
7A crate of pears that usually costs $50 is on sale for 10% off. What is the sale price for the crate of pears?
Sale price of the crate of pears after 10% discount on cost price $50 is equals to $45.
What is sale price?" Sale price is defined as the amount on which something is sold out."
Formula used
Sale price = Cost price - Discount amount
According to the question,
Cost price of the crate of pears = $50
Discount on sale price = 10%
Discount amount = 10% of $50
[tex]=\frac{10}{100}(50) \\\\= \$5[/tex]
Substitute the value in the formula of sale price we get,
Sale price = [tex]\$ ( 50 - 5)[/tex]
= $ 45
Hence, sale price of the crate of pears after 10% discount on cost price $50 is equals to $45.
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What is the value of x?
What is the value of angle G?
What is the value of angle D?
What is the value of angle F?
What is the value of angle E?
please help me Thanks
Answer:
See below ↓
Step-by-step explanation:
∠G = ∠E and ∠F = ∠D [opposite angles in a ║gm]3x + 11 = 5x - 92x = 20x = 10∠G = 5(10) - 9 = 41°∠E = 3(10) + 11 = 41°
Measures of the angles are equal 360° (total degree measure) - [∠G + ∠E]
360 - 82278∠F and ∠D = 1/2(278) = 139°Pleaseeeeee help meeee answer number 3,5 and 7 they are hard for me to do
Answer:
5. 52+56 < 49x -46x
108< 3x
108/3< 3x/3
36
please help need this now
Answer:
hope this helps
Step-by-step explanation:
Solve.
3y − 1 − 9y = 29
(−5, 6, −6, 5)- answer options
Step-by-step explanation:
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
-6y - 30 = -6 • (y + 5)
Equation at the end of step
1
:
STEP
2
:
Equations which are never true:
2.1 Solve : -6 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
2.2 Solve : y+5 = 0
Subtract 5 from both sides of the equation :
y = -5
One solution was found :
y = -5
Answer: y=-5
Explanation:
3y-1-9y=29
3y-9y=-6y
-6y-1=29
+1 on both sides
-6y=30
÷-6
y=-5
Class
At the grand opening of a Cooper's department store, every sixth
customer to enter the store is given a free coffee cup and every ninth
customer is given a free tote bag. Which customer will receive both
gifts?
6RP
Answer:
Amy has $75 to buy 6 new books.If each book costs $5, which equation represents the amount of money ( m) Amy will have left? A. 75-11= m B. 75+15= m C. 75-30= m D.75+30= m
Evaluate f(2) for the function f(x)=5(x-3)+17
Answer:
12.
Step-by-step explanation:
Replace the x by 2 and evaluate:
f(2) = 5(2 - 3) + 17
= -5 + 17
= 12.
The value of function f (2) is, 12
We have to give that,
The function is defined as,
f (x) = 5 (x - 3) + 17
Substitute x = 2 in the above function,
f (x) = 5 (x - 3) + 17
f (2) = 5 (2 - 3) + 17
f (2) = 5 × - 1 + 17
f (2) = - 5 + 17
f (2) = 12
Thus, The value of a function at x = 2 is,
f (2) = 12
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Pls Help Me I will Mark the Brainiest
Answer:
arc AD = 126°
Step-by-step explanation:
the inscribed angles ABD and ACD are half the measure of their intercepted arc AD
then ∠ ABD and ∠ ACD are congruent , so
11x - 3 = 8x + 15 ( subtract 8x from both sides )
3x - 3 = 15 ( add 3 to both sides )
3x = 18 ( divide both sides by 3 )
x = 6
then
∠ ABD = 11x - 3 = 11(6) - 3 = 66 - 3 = 63° , thus
arc AD = 2 × 63° = 126°