Answer:3/5
Step-by-step explanation:
Two snails climbed up a tree at a constant rate. A person measured and recorded their respective distances above the ground. • Snail A was 12.5 inches above the ground at 10 minutes and 16 inches above the ground at 24 minutes. • Snail B started at 3 inches above the ground and climbed 0.3 inch per minute. The snails continued at the same speeds. • Determine the amount of time, in minutes, it took for the two snails to be the same distance above the ground. • Include an equation to represent each snail's distance above the ground, y, in terms of x, the minutes elapsed since the measurement started. Show your work or explain your answer.
Answer:
140 minutes
Step-by-step explanation:
Using m = (y₂ - y₁)/(x₂ - x₁) , we find the rate at which Snail A moves which is also the gradient of the line with which it moves. Given that Snail A was 12.5 inches above the ground at 10 minutes and 16 inches above the ground at 24 minutes, x₁ = 10 min, y₁ = 12.5 inches, x₂ = 24 min and y₂ = 16 inches.
So, m = (y₂ - y₁)/(x₂ - x₁)
m = (16 - 12.5)/(24 - 10) = 3.5/14 = 0.25
Also, the equation of the line,
(y - y₁)/(x - x₁) = m
(y - 12.5)/(x - 10) = 0.25
cross-multiplying, we have
y - 12.5 = 0.25(x - 10)
expanding the bracket, we have
y - 12.5 = 0.25x - 2.5
adding 12.5 to both sides, we have
y - 12.5 + 12.5 = 0.25x - 2.5 + 12.5
y = 0.25x + 10
Since Snail B started at 3 inches above the ground and climbed 0.3 inch per minute. The snails continued at the same speeds, its distance y moved is y = 0.3t + 3
We now find the time x it takes the snails to cover the same distance by equating both expressions. So,
0.25x + 10 = 0.3x + 3
collecting like terms, we have
10 - 3 = 0.3x - 0.25x
7 = 0.05x
0.05x = 7
x = 7/0.05
x = 140 minutes
The probability of winning a game is 25%. How many times should you expect to win if you play 20 times?
5 times
2 times
help me plz: An employer is paying an employee a salary of $35,500 a year. The employer promised to increase his/her salary by 2,750 per year. What will be the employee's salary by year 8?
Answer:
401(k) plan
Step-by-step explanation:
The employee earns $45/hour, with his employer paying 1.5 times the regular rate of pay for overtime hours. To date, he has earned $130,050 during the present year. He has requested that his employer withhold 8% of gross pay, which is to be contributed to a 401(k) plan. Taxable income for federal income tax withholding = $
Identify the area of the composite shape.
71 cm squared
98 cm squared
34 cm squared
56 cm squared
please answer correctly and help me not being rude
Step-by-step explanation:
[tex]2(14 \times 2) + ((7 - 4) \times (14 - 9)) = \\ = 28 \times 2 + (3 \times 5) = \\ = 56 + 15 = \\ = 71[/tex]
PLEASE HELP! Tis urgent-
Answer:
Rectangular Pyramid.
Step-by-step explanation:
I believe the rectangular pyramid has a greater volume. :) Hope I helped! Have a wonderful day! Please give brainliest! Remember your worth!!! :D
The sales representative went to made a deal with the schools for a discount on the individual juice bottles the company usually sells the bottles to the distributors for $2.25 but they are selling them to the schools for 15% off for what price will they sell each bottle to the school?
Answer:
$1.91 per bottle :)
Step-by-step explanation:
Can the following properties of figures change when transformed with a rigid motion? Move each letter a-h to the appropriate box.
A. Side Lengths
B. Slope of a Side
C. Orientation
D. Area
E. Interior Angles
F. Location in the plane
G. Parallel Lines in the pre-image
H. Perimeter
Yes, Can Change No, Can't Change
PLEASE HELP I NEED IT ITS DUE IN 3 MIN TYSM <333
Answer:
This is your answer ☺️☺️☺️. If I'm right so,
Please mark me as brainliest. thanks!!!
Answer:
11 + 2x
Step-by-step explanation:
6 + 5 = 11. -2x + 4x = 2x.
I'm using a method my elementary teacher. My dearest apologizes if this is wrong.
Can someone help me please
Answer:
B
Step-by-step explanation:
sohcahtoa
sin = opp/hyp
sin A = 16/20= 4/5
What is the perimeter of the composite figure?
Enter your answer in the box.
perimeter = yd
Answer: 38 yd. plz mark me brainliest
Step-by-step explanation: Square: 4+4+4+4=16 6+8+8=22 so 22+16=38 so 38 yd. plz mark me brainliest. (tap the crown on the bottom right of an answer) there has to be 2 answers if there is no crown and 2 answers then reload the page.
Answer:
in big TRAINGLE
by using Pythagoras law
other side =√(6²+8²)=10yd
perimeter of composite figure =6+4+4+4+4+10=32yd
12.6% of
RI 149 390bn
Answer: RI 18,823.14
Step-by-step explanation:
I guess that we want to find the 12.6% of Rl 149,390
First, we assume that Rl 149,390 is the 100%
Then we can write an equation like:
Rl 149,390 = 100%
Then if the amount X is the 12.6%, we also have the equation:
X = 12.6%
Then we have the two equations:
X = 12.6%
Rl 149,390 = 100%
If we take the quotient between these two equations we get:
(X/Rl 149,390) = (12.6%/100%)
Solving this for X we get:
X = (12.6%/100%)*(Rl 149,390) = RI 18,823.14
please help :) Type in answers.
Answer:
Corresponding angles: 6∠2
Alternate Exterior Angles: 2∠8
Alternate Interior Angles: 4∠6
Step-by-step explanation:
Hope this helped, Please mark me brainliest, thank you!
Reflect across the x-axis.
A (-1, 6) B (5, 14) C (-1, 14)
Post Image Coordinates:
A’ ________ B’ ________ C’ ________
please help me asap.
Answer:
21
Step-by-step explanation:
Yes I am here to help
Please answer and don’t be a bot
Answer:
AAS
Step-by-step explanation:
The others are wrong
Paula, the local baker, usually makes 1"5 loaves of bread and 10 cakes per day, but today she made 25 loaves of bread and 12 cakes. What is the percent increase far each bakery item?
Answer:
the percentage increase for bread and cake is 66.67% and 20% respectively
Step-by-step explanation:
The computation of the percentage increase for each bakery item is shown below:
For bread
= (25 - 15) ÷ 15
= 66.67%
For cakes
= (12 - 10) ÷ (10)
= 20%
Hence, the percentage increase for bread and cake is 66.67% and 20% respectively
What is the value of x?
Enter your answer in the box.
units
Answer:
x = 28
Step-by-step explanation:
ΔARP ≈ ΔCRD
42/x = 57/(10+x)
cross-multiply:
42(10+x) = 57x
420 + 42x = 57x
420 = 15x
28 = x
please answer! will give brainliest :)
Your answer is 20,321.5+8707.37 which equals 29028.87 feet. Mount Everest is 29028.87 feet tall.
(pythagoras theorem | year 9)
Answer:
In this case, to prove what is required, we must use the Pythagorean theorem to find the diagonal of the square.
If the diagonal of the square is smaller than the diameter of the circle, then the square will fit perfectly in the circle without touching it.
Diagonal = Root ((7 ^ 2) + (7 ^ 2)) = 9.89 cm.
we observed that
9.89cm <11cm.
Therefore we show that:
the square will fit inside the circle without touching the edge of the circle
or
c^2 = a^2 + b^2 c^2 = 7^2 + 7^2 = 49 +49 c^2 = 98 c = sqrt 98 c = 9.8 cm c = diagonal of square (9.8 cm) and is less than the diameter of the circle (11 cm), so the square will fit inside the circle without touching the edge of the circle.
I hope this helps a little bit.
Could you please help me out.
Answer:
B
Step-by-step explanation:
dababy
Type in the missing terms in this sequence of square numbers.
1, 4, 9,
, 25, 36,
, 64, 81, 100,
, 144
Answer:
16, 49, 121
Step-by-step explanation:
If 6 is a factor of a number, then 12 is also a factor of the number.
Which number is a counterexample to the given statement?
Answer:
i think it is 24 sorry if a m swrong.
Step-by-step explanation:
PLEASE ANSWER
Bryce went to the zoo at 10:15 am, and got home at 4:40 pm. How long was he gone?
7 hours and 35 minutes
5 hours and 35 minutes
6 hours and 25 minutes
6 hours and 55 minutes
Answer:
6 hours and 25 minutes
Step-by-step explanation:
10:15 to 4:40 = 6 hours and 25 minutes
A ball is dropped from a height of 64 feet. Its height, in feet, can be modeled by the function h(t) = -16t2 + 64, where t is the time in seconds since the ball was dropped. A. After how many seconds will the ball hit the ground? B. What is a reasonable domain and range for this function?
Answer:
See solution below
Step-by-step explanation:
The ball will hit the ground at whrn t = 0
Given the height of the ball modeled by the expression
h(t) = -16t^2 + 64
0 = -16t^2 + 64
16t^2 = 64
t^2 = 64/16
t^2 = 4
t = 2sec
The ball will hit the ground 2secs after
The domain are the values of the input values t and this values start from 2 and greater. Hence the domain of the function is {2, ∞}
when t = 2
h (2) = -16(2)^2 + 64
h(2) = -64+64
h(2) = 0
Hence the range are the output values i.e the height.
The range are within the range {0, ∞}
What is the length of the line segment that has endpoints at (-5,7) and (7,2)
A 13
B 10.9
C 5.4
D 15
Answer:
A
Step-by-step explanation:
sqrt of (x_2 - x_1)^2 + (y_2 - y_1)^2
sqrt of (7 - -5)^2 + (2 - 7)^2
sqrt of (12)^2 + (-5)^2
sqrt of (144 + 25)
sqrt of (169)
13
The school library has 2,469 books. Two-thirds of them are paperbacks. How many
books are paperbacks?
Answer:
2469 x 2/3= 1646
personally, I solve it by dividing the 2469 by 3 to get 1/3.
2469/3= 823
then, double it to get 2/3.
823x2= 1646
At noon Ada and Kent had gallons of lemonade left at their lemonade stand. The next 3/8 customer bought of the remaining lemonade.How much lemonade did the customer 1/3 buy?
Answer:
2
Step-by-step explanation:
Which represents the solution set of the inequality 5x-9 < 21? a. x < 12/5 b. x > 12/5 c. x > 6 d. x < 6
PLZ use the information given to write the equation of the circle.
Center: (0,-16), Radius: √15
A: x2+(y+16)2 = 15−−√
B: (x+16)2+y2=15
C: x2+(y+16)2= 15
D: x2+(y−16)2 = 15
Answer:
x^2+(y+16)^2=15
Step-by-step explanation:
(x-0)^2+{y-(-16)}^e=(√15)^2
→x^2+(y+16)^2=15
Answer:
C. x² + (y + 16)² = 15Step-by-step explanation:
Equation of circle:
(x - h) + (y - k) = r², where (h, k) is the center and r is the radiusWe have:
h = 0, k = -16, r = √15Substitute the given into the equation above and get the equation of the given circle:
(x - 0)² + (y - (16))² = (√15)² ⇒x² + (y + 16)² = 15Correct choice is C
In ΔJKL, the measure of ∠L=90°, the measure of ∠J=18°, and KL = 6.1 feet. Find the length of JK to the nearest tenth of a foot.
Answer: 19.7
Step-by-step explanation:
Answer:
19.7
Step-by-step explanation:
Help me plzzz i need helpppppp
Answer:
x = 5
Step-by-step explanation:
5 + 4 = 4 + 5
9 = 9
That means this statement is true.
Hope this helps!!~ ♥︎