The total distance travelled by the first and second hockey pucks before hitting the ground is 110 feet and 150 feet, respectively.
We are given that there are two hockey pucks.The height of the first hockey puck increases until it reaches a maximum height of 3 feet when it is 55 feet away from the player.This hockey puck will travel an additional 55 feet after it reaches its maximum height before it hits the ground.The total distance travelled by the first hockey puck before hitting the ground is 110 feet.The height y (in feet) of the second hockey puck is modelled by y=x(0.15−0.001x), where x is the horizontal distance (in feet).When it hits the ground, its height will be zero.0 = x(0.15−0.001x)x(0.15−0.001x) = 0A value of "x" is 0 when it is just hit by the player.When it hits the ground, the value of "x" is :0.15−0.001x = 00.001x = 0.15x = 150The total distance travelled by the second hockey puck before hitting the ground is 150 feet.To learn more about distance, visit :
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What is the mean of 5, -15, 7, -13, 1
Answer:
-3
Step-by-step explanation:
Add them all up and then divide by 5
Solve for the variable: x – 12 = 3
Answer:
x=15
Step-by-step explanation:
add the 12 to the other side
x-12=3
and you will get 15
x=15
how to solve this problem 3x+5=2x+1
Answer:
Step-by-step explanation:
Simplifying
3x + 5 = 2x + 1
Reorder the terms:
5 + 3x = 2x + 1
Reorder the terms:
5 + 3x = 1 + 2x
Solving
5 + 3x = 1 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
5 + 3x + -2x = 1 + 2x + -2x
Combine like terms: 3x + -2x = 1x
5 + 1x = 1 + 2x + -2x
Combine like terms: 2x + -2x = 0
5 + 1x = 1 + 0
5 + 1x = 1
Add '-5' to each side of the equation.
5 + -5 + 1x = 1 + -5
Combine like terms: 5 + -5 = 0
0 + 1x = 1 + -5
1x = 1 + -5
Combine like terms: 1 + -5 = -4
1x = -4
Divide each side by '1'.
x = -4
Simplifying
x = -4
Answer:
x = -4
Step-by-step explanation:
To solve the given equation, we must find a value of x that satisfies the equation.
3x + 5 = 2x + 1
Subtract 2x from both sides.
x + 5 = 1
Subtract 5 from both sides.
x = -4
So the value of x that satisfies the equation is -4. So the solution to the equation would be x = -4.
I hope you find my answer and explanation to be helpful. Happy studying.
The measure of an angle is seventy-four times the measure of its supplementary angle. What is the measure of each angle?
x = measure of the angle
180 - x = measure of supplement {supplementary angles add up to 180}
x = 74(180 - x) {measure of the angle is 174 times the supplement}
x = 13,320 - 74x {used distributive property}
75x = 13,320 {added 74x to each side}
x = 177.6 {divided each side by 177.6}
the angle is 177.6
the supplement is 2.4
Points A(−1.5) and B(6) are marked on a number line. Find the coordinate of point M if it is known that AM:MB=1:2. Find all possible answers.
Answer:
M(1)
Step-by-step explanation:
(Please see the attached picture to better visualize the number line)
What we know:
- Point A is at -1.5 on the number line
- Point B is at 6 on the number line
- AM:MB=1:2
From the ratio, we automatically know that point M is in between point A and point B on the number line. In other words, point M is greater than -1.5 but less than 6. (-1.5<m<6). We also learn from the ratio that if the distance between point A and point B is divided into thirds, AM would take up one of those thirds and MB would take up two of those thirds.
1. Find the distance between point A(-1.5) and point B(6)
6-(-1.5)
= 6+1.5
= 7.5
2. Divide this distance into thirds
7.5/3
= 2.5
Now, we know that one third of the distance between AM and BM is 2.5.
3. Add 2.5 to point A(-1.5) to find point M (please refer to the picture attached)
-1.5+2.5
= 1
I hope this helps! Please comment if you have any questions.
You buy 3.18 pounds of pears, 1.45 pounds of oranges , and 2.79 pounds of peaches what is your total bill
pears-0.99 per pound
oranges-1.19 per pound
peaches-1.29 per pound (round to the nearest cent)
Answ32fn333w3243333
Step-by-step explanation:
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If you need to divide 2/3 by 4/5 , why is it easier to use an equation than to use a model
6.) The length of a rectangle is 19 feet longer than the width. If the perimeter is 46
feet, write an equation for this scenario where "x" represents the width.
Step-by-step explanation:
The perimeter can be expressed as
P=2L+2W
let the width be x
W=x
L=x+19
perimeter P=46ft
Therefore substituting and solving for x we have
46=2(x+19)+2x
46=2x+38+2x
46=2x+2x+38
46-38=4x
8=4x
x=8/4
x=2
the width is 2
the lenght = 2+19=21
A bottle that contains hand sanitizer is in the shape of a pyramid with a rectangular base. The length of the base is 2 inches, and
the height of the bottle is 6 inches. Suppose the volume of the bottle is 24 in?. Calculate the width of the base of the bottle.
A)
1 inch
B)
3 inches
4 inches
D)
6 inches
Answer:answer 4
Step-by-step explanation: multiply each answer choose an dit leaves 6 time four is 24
4 less than a number n is −15.
Answer:
n-4= -15
Step-by-step explanation:
"4 less than a number n" is represented by n-4.
it says it "is" -15, so this equals -15.
n-4= -15
На сколько процентов уменьшится объем прямоугольного параллелепипеда, если его длину уменьшить на 25%, а ширину и высоту на 20%?
Answer:
I dunno what your saying.
Step-by-step explanation:
Please us English
Ratio of dolls to teddy bears is 6:5. There are 240 dolls, how many teddy bears?
Answer:
nusfj
Step-by-step explanation:
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You own your own bakery. In the cooler you have 3 chocolate cakes and 4 vanilla cakes. In the warmer you have 1 pumpkin pie, 5 apple pies and 3 blueberry pies. What is the ratio of pies to cake you have available?
Answer: You have 9 cakes for every 7 cakes. I hope this helps!
Explanation: You add up everything on both sides to get your answer!
Answer: yes and it is yes sisiwfereffffffffffffr
Graph the inequality: y
A) 7.746
B) 37.947
C) 30.984
D) 33.941
9514 1404 393
Answer:
B) 37.947
Step-by-step explanation:
Using the given formula, we find ...
s = (12 +11 +7)/2 = 15
A = √(15(15 -12)(15 -11)(15 -7)) = √1440 = 12√10 ≈ 37.947 . . . square yards
Double click in the red boxes to fill in your answers!
Domain:
Range:
Local Relative Min:
Local Relative Max
Global Absolute Min:
GlobalAbsolute Max
Increasing intervals:
Decreasing Intervals:
x-intercepts:
y-intercepts:
End Behavior
LEFT: NONE
RIGHT: X - Y -
Answer:
More information or the graph your talking about is needed to answer this
Step-by-step explanation:
Find the value of x.
Answer:
20
Step-by-step explanation:
angles on a straight line
(x+20)+7x
open bracket
8x +20 = 180
collect like terms
8x= 180-20
8x=160x
x=160/8
x =20
Find the value of x.
(9x + 1)
(11x – 23)
hiw many 2/3 are in 2 1/3
Answer:
3.5
Step-by-step explanation:
2 1/3 is equal to 7/3 and 2 goes into 7, 3.5 times.
Answer:
there are 3 2/3 in 2 1/3 with 1/3 left over
Step-by-step explanation:
Hope this helps.
Have a nice day :)
Can you give me brainliest plz :)
Isabel bought a suit on sale for $561. This price was 34% less than the original price.
What was the original price?
Answer:
751.74
Step-by-step explanation:
561*.34=190.74
561+190.74=751.74
Answer
The suit being 27% less than the original also means he paid 73% of the original price (x). So,
0.73x=561
x=561/0.73
x=409.53
Original price was 409.53. Fancy suit. Step-by-step explanation:
there you go...
Write the ratio as a unit rate. Simplify. 216 diving student and 12 instructor
Answer:
Ratio students to classroom in school A equals 216:12 which simplifies to 18:1. Ratio students to classroom in school B equals 104:4 which simplifies to 26:1.Total students combining school A and B equals 216+104=320 and Total classroom 12+4=16, if both school combined are assumed to be a single school C, than ratio of of students to the classroom in school C equals 320:16 which simplifies to 20:1 which means 20 students in every classroom, now total students in 4 classroom of School C equals 20x4=80, these 4 classroom are separated as School B and other 12 classroom School A, now ratio still 20:1 (same in both schools). initially students in School B were 104 and now are 80, then total students transferred equals 104-80= 24.
Help! Please. I don’t know what to do. I got this wrong.
Answer: 2/5 40%
Step-by-step explanation:
write the prodect 7 times 7 times 7 times 7 in exponential form
Answer: 7⁴ I believe
The force exerted by a pulley is the sum of the tension and the force of gravity. Since a pulley is used to lift something, the force is negative. The tables show the tension, T(m), and the force of gravity, G(m), for objects of various masses, m in grams, all accelerating upward at 2.5 m/s2.
The force of the rope is equal to the negative of the tension on the rope and the force of gravity.
Which table shows the values when combining the functions to find the force of the rope?
Answer:
B
Step-by-step explanation:
To answer this question, we can just pick a couple of points and see which table gives the correct values.
Test Value 1)
Let's let m be 0.5.
So, our output will be:
[tex]-(T(0.5)+G(0.5))[/tex]
From our original tables, we know that T(0.5) is 1.25 and G(0.5) is 4.9. So:
[tex]=-(1.25+4.9)[/tex]
Add:
[tex]=-6.15[/tex]
So, when m is 0.5, our output should be -6.15.
The only choice that does this is B. So, B is our correct answer!
However, let's do another test point just to confirm.
Test Value 2)
Let's let m be 1.2.
So, our output will be:
[tex]-(T(1.2)+G(1.2))[/tex]
From our original table, we know that T(1.2) is 3 and G(1.2) is 11.76. So:
[tex]=-(3+11.76)[/tex]
Add:
[tex]=-14.76[/tex]
The only choice that does this is B. So, we are confident that B is our answer.
And we're done!
Answer:
B
Step-by-step explanation:
2x4–5x3+x2+3x+2 for: x=-5
Answer:
667
Step-by-step explanation:
2x^4–5x^3+x^2+3x+2
2(5)^4 -5(5)3+5^2+3*5+2
2*625 - 5*125+25+15+2
1250-625+25+15+2
625+42
667
WHAT DOES HIT IT FROM THE BACK MEAN?
Step-by-step explanation:
hit the what now . wut that ;-;
there are 11 oranges, 6 apples, 9 bananas and 13 peaches on the table, what is the probability picking an orange
Answer:
11 out of 39
Step-by-step explanation:
Answer:
\frac{11}{39}
39
11
Step-by-step explanation:
There are 39 fruits in all.
11 + 6 + 9 + 13= 3911+6+9+13=39
Therefore, there would be 39 total events.
There are 11 preferred events, as there are eleven oranges out of the 39 fruits.
\frac{preferred}{total} =\frac{11}{39}
total
preferred
=
39
11
So, there should be a 11/39 chance that a person would pick an orange.
\frac{11}{39}
39
11
is already in it's lowest terms
How is 24/27 written as a fraction
Answer:
twenty-four and twenty-sevenths
Step-by-step explanation:
This is due soon solve asap please.
Answer:
Home to school through mall: 11 miles
Home to school through theater: 13 miles
Step-by-step explanation:
The route from home to school that passes the mall is x + 1 + x + 2 = 2x + 3.
The route from home to school that passes the theater is 2x + 1 + x = 3x + 1.
The route from home to school that passes the mall is 2 miles shorter than the route that passes by the theater.
2x + 3 = 3x + 1 - 2
2x + 3 = 3x - 1
-x = -4
x = 4
Home to school through mall:
2x + 3 = 2(4) + 3 = 11
Home to school through theater:
3x + 1 = 3(4) + 1 = 13
Answer:
Home to school through mall: 11 miles
Home to school through theater: 13 miles
The length of a rectangular garden is 5 feet less than 4 times its width. Its area is 359 square feet. Find the length and width of the garden. Round answers to the nearest tenth of a foot. Show all work.
Given parameters:
Area of the rectangular garden = 359ft²
Unknown:
length and width of the garden = ?
To find the length and breadth of the garden, we need to define and know that the area of a rectangle is.
Area of a rectangle = Length x Breadth
From the problem statement;
Let w = width of the rectangular garden
L = length of the garden;
Now,
length of a rectangular garden is 5 feet less than 4 times its width
L = 4w - 5
Now let us substitute this into the equation;
Area = L x w
359 = (4w - 5)w
4w² - 5w - 359
Using:
w = -b ± √b² - 4ac / 2a
where b = -5 , a = 4 and c = -359
w = -(-5) ± √-5² - 4(4)(-359) / 2(4)
w = 5 ± √25 + 5744 / 8
w = 5 ± 75.9 / 8
w = [tex]\frac{5 + 75.9}{8} or \frac{5 - 75.9}{8}[/tex]
w = 10.1ft
The other solution is not possible it will be a negative value. Width value cannot be negative.
So L = 4w - 5 = 4(10.1) - 5 = 35.5ft
The length and breadth of the rectangular are 35.5ft and 10.1ft respectively.