Answer:
Part A
The height to which the projectile reaches is given by the following formula;
[tex]\Delta y = y-y_0 = v_{0y} \times t-\dfrac{1}{2} \times g \times t^2[/tex]
Where;
[tex]v_{0y}[/tex] = The initial velocity of the projectile = Stays the same
y = The height the projectile reaches
y₀ = The height from which the projectile is launched
g = The acceleration due to gravity
t = The time taken
Given that the projectile has the same initial velocity, the variation of Δy with time, 't', will be the same when the project is launched from a different height, and the time change that it takes for the projectile to reach the maximum height will be the same for the previous launch height
Part B
From the change in eight of the projectile, Δy = y - y₀, the maximum height reached, 'y', is therefore given as follows;
y = Δy + y₀
The maximum height will increase by 'y₀', where 'y₀' is the difference between new height and the previous height, [tex]y_i[/tex]
That is, if y₀ > [tex]y_i[/tex], the maximum height reached increases and if y₀ < [tex]y_i[/tex], y₀ will be added as y = Δy - y₀ and the maximum height reached decreases
Step-by-step explanation:
Gina wants to go to the water park with her friends. They have a total of w dollars to buy 5 tickets. Each ticket costs 15 dollars. (write an equation)
Answer:
5 * w = 15
w= 3
Hope this helps!
Answer:
5•15=w
(Is this subtracting from the total?)
was there more to this question that you didn’t include?
Task 9
Here is an equation:
15(x-3)/5 = 3(2x-3)
Solve the equation by using the distributive property first.
Then solve without using the distributive property and
check your solution.
Answer:
x=0
Step-by-step explanation:
ima break it apart so it is easier to understand, going from left to right.
15(x-3)/5 you will distribute the 15 to the x and the -3
15x-45/5 you will divide 5 to both the 15x and the 45
3x-9 it will now be combined with the right side
now on the right side:
3(2x-3) you will distribute the 3 to the 2x and -3
6x-9 will now be combined with the left side
combining the left and right.
3x-9=6x-9 combine both 'x' es and constants
3x-6x=9-9 solve
-3x=0 divide
-3x=0 /-3 (all of it will be divided by 3 cuz what you do to one side, you gotta do to the other)
x=0
without distributive property
15(x-3)/5=3(2x-3) remove the parenthesis from the left side
3(x-3)=3(2x-3) distribute the 3 through the parenthesis on both sides
3x-9=6x-9 the rest is the same as in the combined section up above.
i hope this helps
The value of the equation 15 ( x - 3 ) / 5 = 3 ( 2x - 3 ) is x = 0
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be A
Now , the value of A is given by
15 ( x - 3 ) / 5 = 3 ( 2x - 3 )
By using the distributive property , we get
On opening the bracket , we get
( 15x - 45 ) / 5 = 6x - 9
Divide by 5 on LHS , we get
3x - 9 = 6x - 9
Subtracting 6x on both sides of the equation , we get
-3x - 9 = - 9
Adding 9 on both sides , we get
-3x = 0
x = 0
Now , without using distributive property , we get
The equation is
15 ( x - 3 ) / 5 = 3 ( 2x - 3 )
Divide by 5 on both sides , we get
3 ( x - 3 ) = 3 ( 2x - 3 )
Divide by 3 on both sides , we get
x - 3 = 2x - 3
Adding 3 on both sides of the equation , we get
x = 2x
Subtracting x on both sides , we get
x = 0
Hence , The value of the equation 15 ( x - 3 ) / 5 = 3 ( 2x - 3 ) is x = 0
To learn more about equations click :
https://brainly.com/question/19297665
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If two sweaters and four shirts cost $150, and four sweaters and three shirts cost $200, find the price of each shirt and each sweater.
Answer:
shirt = $20
sweater = $35
Step-by-step explanation:
This question would be solved using simultaneous equation
Let the price of sweater be represented by a
Let the price of shirt be represented by b
The following equations can be derived from the question
2a + 4b = 150 equation 1
4a + 3b = 200 equation 2
Multiply equation 1 by 2
4a + 8b = 300 equation 3
Subtract equation 2 from 3
5b = 100
divide both sides of the equation by 5
b = 20
substitute for b in equation 1
2a + 4(20) = 150
2a + 80 = 150
collect like terms
2a = 150 - 80
2a = 70
divide both sides by 2
a = 35
Price of sweater = $35
Price of shirt = $20
Answer:
What the other guy said
Step-by-step explanation:
The point M(6,-9) is reflected over the x-axis. What are the coordinates of the resulting point, M’?
Answer:
(6 , 9)
Step-by-step explanation:
PLEASE HELPP
it isn't 62 I already tried it
Answer:
112°
Step-by-step explanation:
50 + 62 = 112
The drama club is printing T-shirts for its members. The printing company charges a certain amount for each shirt, plus a setup fee of $40. There are 21 students in the drama club.
If the T-shirt order costs a total of $187, how much does each T-shirt cost?
What is m D?
mZD =
PLZZZ help
Answer:
Angle D is 63
Step-by-step explanation:
oAngle B is congruent and correponding to angle D
Angle B is 63 degrees
so therefore, angle D is also 63 degrees
Hope this helped! Have a nice rest of ur day! Plz mark as brainliest!!! :D
-Lil G
Find the distance between (5, 9) & (-7, -7). Round to the nearest tenth.
Answer:
20
Step-by-step explanation:
In which quadrant does the point with c ordinate (4, -3) lie?
Answer:
4
Step-by-step explanation:
hope the diagram helps haha
The square root of number that is two bigger than k is twice as big as the square root of the number one less than k. What is k
Answer:
K = 2
Step-by-step explanation:
Rewriting the expression mathematically;
√(k+2)=2√(k-1)
square both sides
k+2=4(k-1)
k+2=4k-4
Collect like terms
2+4=4k-k
6=3k
Dibaide both sides by 3
3k/3 = 6/3
k = 2
PLZ HURRY
What is the interval used in the graph shown below?
A.4
B.9
C.10
D.11
Answer:
10
Step-by-step explanation:
I'm stuck on that question too but I would say 10
Answer:
The answer is 10 :))
Step-by-step explanation:
a. 45:75
Simply the ratio
3/5
first we find gcf for both numinator and dinominator do the gcf is 15
next we divide both by15
then 45÷15=3 and 75 ÷15=5
so the answer is 3/5 or 3:5
What is the measure of the missing angle?
Answer:
47
Step-by-step explanation:
Hey There!
So remember all of the angles in a triangle will add up to equal 180
So to find the missing angle we subtract the given angles (65 and 68) from 180
180-65-68-47
so we can conclude that the measure of the missing angle is 47
44.99 with a 9.25 sales tax, what is the total price?
I dont get this pls help i need it ASAP
4.
A. She used y-values where she should have used x-values.
B. She should have added the values, not subtracted them.
C. She mixed up the x- and y-values.
D. She did not keep the order of the points the same in the numerator and the denominator.
Answer:
d.
Step-by-step explanation:
If 5(2x + 1) = 3(x+4) – 5, what is the value of x ?
i need help can anyone help???
Answer:
x=75.4
360-(13.2*2)=333.6
333.6=(8+4)4
333.6=32+4x
301.6=4x
***x=75.4***
Miguel is 46 years old .He is 4 years older than thrice his son's age. Find the age of his son.
Answer:
42
Step-by-step explanation:
46-4=42
Answer:
son is 14
Step-by-step explanation:
s = son's age
46 = 4 + 3s
42 = 3s
s = 14
A grocery store stocks different flavors of peppermint sticks in 15 jars. The number of sticks in each jar varies from 0 to 49. Suppose you are creating a histogram to represent the situation. A. Which axis should be labeledas the num ber of jars for each flavor? B. What are possible intervals that COULD be appropriate for the histogram?
Answer:
The correct answers are:
A. The Vertical axis should be labelled as the Number of Jars for Each Flavour
B. an interval of 7 could be appropriate
Step-by-step explanation:
A. The number of jars for each flavour is the dependent variable against the flavour type, which is the independent variable, hence it is displayed on the vertical axis to show the height of the bars.
B. since the number of sticks in a jar vary from 0 to 49, dividing 49 by 7 will give 7 without a remainder, hence, an interval of 7 will be ideal for the plot, nd a total of 7 bars will be plotted. Intervals are: 0-7, 8-14, 15-21, 22-28, 29-35, 36-42, 43-49.
please help thank you :)
[tex]x + 30 + 2x + 90 = 180[/tex]
[tex]3x + 120 = 180 \\ 3x = 180 - 120 \\ \: \: \: 3x = 60 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ x = \frac{60}{3} \: \: \: \: \: \: \: \: \: \: \: \\ x = 20 \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
hope it helps you ❣❣ Mark me as brainliestAnswer:
x+30 + 2x + 90 = 180
3x + 120 = 180
3x = 60
x = 20
Step-by-step explanation:
there are 180 degrees in a triangle
112 DECIMALS Rounding decimals Round 0.799 to the nearest hundredth. 0 Х ?
Answer:
0.799 to the nearest hundredth is 0.80
Hope this helps!
SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLY IF YOU GET IT RIGHT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The probability of rolling a six on this cube is A. 1/6
Step-by-step explanation:
Just... Think about it. The cube has six sides (the total, or denominator). There is only one six (the numerator). So, the answer is 1/6.
Have a wonderful day/night! <3
Three teachers buy prizes to put in the prize bin at school. Mrs. Maiers spends $7.68 on stickers. Mr. Lang spends $11.52 on balloons. Mrs. Connor spends $17.64 on pencils.
Answer: $12.28
Step-by-step explanation:
Here's the complete question:
Three teachers bought prizes to put in a bin at school. Mrs. Maier spent $7.68 on stickers. Mr. Lang spent $11.52 on balloons. Mrs. Connor spent $17.64 on pencils. The teachers divided the cost evenly. How much did each teacher pay?
Cost of stickers = $7.68
Cost of balloons = $11.52
Cost of pencils = $17.64
Total spent = $7.68 + $11.52 + $17.64 = $36.84
The amount that each teacher will pay when the total cost is evenly shared will be:
= $36.84 / 3
= $12.28
Which expression is equivalent to 2(7x-7)?
Multiply using the distributive property.
14 x − 14
Hope this helps you!
Answer:
14x-14
Step-by-step explanation:
2(7x-7)=14x-14
A shop is having a sale all items are reduced work out the sale price of an item normally priced at £60
Question:
A shop is having a sales all items are reduced by 25%. Work out the sale price of an item normally priced at £60?
Answer:
The new price is £45
Step-by-step explanation:
Given
[tex]Sales\ price = \pounds 60[/tex]
[tex]Rate = 25\%[/tex]
First, calculate the reduction
[tex]Reduction = Rate * Sales\ price[/tex]
[tex]Reduction = 25\% * \pounds 60[/tex]
[tex]Reduction = \pounds 15[/tex]
The new price is:
[tex]New = Sales\ price - Reduction[/tex]
[tex]New = \pounds 60 - \pounds 15[/tex]
[tex]New = \pounds 45[/tex]
A city has a population density of approximately 6,300 people /km2. The population is about 552,200 people. What is the approximate area of the city
Answer:
Step-by-step explanation:
552,200 people × (1 km²)/6,300 people) ≈ 87.65 km²
A towns population increases from 200000 to 250000. What has been the percentage increase?
Answer:
25% increase
Step-by-step explanation:
Just do 250000/200000 you will find 1.25
And the one is the base 200000 and convert .25 to percentage, which is 25%
Brainliest maybe?
Answer:
25% or .25
Step-by-step explanation:
fist find the number it increased by minus 250000 from 200000
250000 - 200000 = 50000
then divide the increase by the original
50000/200000 = .25 or 25%
Sarah took the advertising deparſment from her company on a round trip to meet with a potential client. Including Sarah a total of 11 people took the trip. She was
able to purchase coach tickets for $240 and first class tickets for $1100. She used her total budget for airfare for the trip, which was $6080. How many first class
tickets did she buy? How many coach tickets did she buy?
Answer:
Sarah bought 7 coach tickets and 4 first class tickets.
Step-by-step explanation:
From the information provided, you can write the following equations:
x+y=11 (1)
240x+1100y=6080 (2), where:
x is the number of coach tickets
y is the number of first class tickets
In order to find the value of x and y, first you have to solve for x in (1):
x=11-y (3)
Now, you have to replace (3) in (2) and solve for y:
240(11-y)+1100y=6080
2640-240y+1100y=6080
860y=6080-2640
860y=3440
y=3440/860
y=4
Finally, you can replace the value of y in (3) to find the value of x:
x=11-y
x=11-4
x=7
According to this, the answer is that Sarah bought 7 coach tickets and 4 first class tickets.
4. 12 ___ -15 = 27
5. -18 ___ -¾ = 24
Answer:
4) 3.5
5) -1.375
Step-by-step explanation:
plug in x for the missing number and solve
Answer:
4. 12 (3.5) -15 = 27
5. -18 (445.5) -¾ = 24
Step-by-step explanation:
4. 12? -15 = 27
12? = 42
? = 3.5
5. -18? -¾ = 24
-18? = 24 + 3/4
-18? = 96/4 + 3/4
-18? = 99/4
? = 891/2 or 445.5