Two turtles race. The speed of the first is 4 1/ 2 inches per minute and the speed of the other is 5 inches per minute How far apart the be in 3 minutes 5 minutes? 10 minutes?​

Answers

Answer 1

Answer:

(a) 1.5 inches

(b) 2.5 inches

(c) 5 inches

Step-by-step explanation:

speed of first turtle = 4 1/2 inches per  minute = 9/2 inches per minute

speed of the second turtle = 5inches per minute

distance = speed x time

(a) Distance traveled by first turtle in 3 minutes

s = 9/2 x 3 = 13.5 inches

distance traveled by second turtle in 3 minutes

s' = 5 x 3 = 15 inches

So, the gap is

s'- s = 15 - 13.5 = 1.5 inches

(b) Distance traveled by first turtle in 5 minutes

s = 9/2 x 5 = 22.5 inches

distance traveled by second turtle in 5 minutes

s' = 5 x 5 = 25 inches

So, the gap is

s'- s = 25 - 22.5 = 2.5 inches

(c) Distance traveled by first turtle in 10 minutes

s = 9/2 x 10 = 45 inches

distance traveled by second turtle in 10 minutes

s' = 5 x 10 = 50 inches

So, the gap is

s'- s = 50 - 45 = 5 inches


Related Questions

Describe the main parts of a proof? ..

Answers

Answer:

Answer Expert Verified

Given; prove; statements; and reasons. Explanation: The given is important information we are given at the beginning of the proof that we will use in constructing the proof. The "prove" is the statement we are trying to prove

Answer:

Sample Response: Proofs contain given information and a statement to be proven. You use deductive reasoning to create an argument with justification of steps using theorems, postulates, and definitions. Then you arrive at a conclusion.

Step-by-step explanation:

Have the day you deserve :)

STATEMENT OF THALES THEORM NEED URGENTLY

HAVE A NICE DAY GOOD MORNING ​

Answers

Answer:

The Thales theorem states that: If three points A, B, and C lie on the circumference of a circle, whereby the line AC is the diameter of the circle, then the angle ∠ABC is a right angle (90°).

Seventy weather balloons were sent up. Twenty-eight were found. What percent wer ound? 17​

Answers

Step-by-step explanation:

let the percent of found balloons be x

given,

total number of balloons= 70

number of found balloons= 28

according to the question,

x% of 70= 28

x/100 × 70 = 28

x=40

hence 40% of the balloons were found

Find the measure of the arc DC

Answers

Answer:

The measure of arc DC is 50°. Circle O is shown. Line segments A C and E B are diameters. Line segment O D is a radii. Point D is between points E and C. Angle B O D is 90 degrees. What is the measure of Arc E B C? 40° 90° 140° 220°

Step-by-step explanation:

Name a pair of adjacent angles and a pair of vertical angles in the figure

Answers

Answer:

Adjacent: <ABC and <CBD

Vertical: <ABC and <EBD

Step-by-step explanation:

Adjacent angles: Angles that share one ray.

Vertical Angles: Opposite angles created by the intersection of two lines.

Hope this helps!!

A dealer paid $7,000 for a car at an auction. At the dealership, a salesperson sold the car for 30% more than the auction price. The salesperson received a commission of 25% of the difference between auction price and the dealership price. What was the sales person’s commission?

Answers

30% of $7000 is $2100
25% of $2100 is $525

Mr. Norris buys a boat for $125,000. He has to pay a 5% tax on his purchase of the boat. How much money is the tax?

Answers

6250 is 5% of 125000

Use the perfect square trinomial identity to write this expression in factored form:
x2 + 10x + 25.

Answers

X^2 + 10x + 25
(X + 5)^2

Answer:

[tex] {x}^{2} + 10x + 25 \\ = ( {x}^{2} + 10x + {5}^{2} ) + (25 - {5}^{2} ) \\ = {(x + 5)}^{2} [/tex]

HELPPP ME PLEASE WILL MARK BRAINLIEST IF YOU GIVE ME THE CORRECT ANSWER

Answers

Answer:

Option (3)

Step-by-step explanation:

Properties for the vertical stretch or shrink of a function,

If a function is f(x) = k|x|

1). Function will be vertically stretched if k > 1

2). Function will have a vertical shrink if 0 < k < 1

To fit the given data graph of f(x) = |x| will vertically shrink without any translation along x or y-axis.

And the value of k will be, 0 < k < 1.

Therefore, g(x) = [tex]\frac{1}{3}f(x)[/tex] will be the transformed graph.

Therefore, Option (3) will be the correct option.

If f(x) = 28+x + 7, what is the value of f(-9), to the nearest
hundredth (if necessary)?

Answers

Answer:

26

Step-by-step explanation:

Problem: f(x) = 28 + x + 7

Plug in f(-9)

New equation: f(-9) = 28 + (-9) + 7

Simplify: f(-9) = 26

Answer: f(-9) = 26

^^^^ the man above me got it’s or under

reverse percentage problem

Answers

answer: you're missing the problem

Two angles of a triangle are 120° and 6° What is the measure of the third angle?​

Answers

Answer:  54

The angles of a triangle add up to equal 180.

Since we already know two angles, we can just use simple math to find the third.

120 + 6 = 126

180 - 126 = 54

Answer:

54°

Step-by-step explanation:

A triangle ALWAYS measure a 180° Angle in total so if the first and second angle is 120° and 6°, just add it together and will form a 126° Angle so subtract it to 180° Angle and it will result in a 54° Angle

Thank you and please mark me as brainliest ^^

Factorize: (a+b)^2 + 4 (a+b)+ 4

Answers

Factorized: (a + b + 2) ^2

please find Area of triangle

Answers

Answer:

60

Step-by-step explanation:

Side A would end up being 15 and then to find the area you would use your formula 1/2 × base × height.

Which relationship has a zero slope?

Answers

I think it would be the second graph, Let me know if i’m right!

a²+b²=c²

5²+9²=c²

25²+81²=c²

106=c²10.2

5

Maria has $120. She plans to purchase a shirt for herself and gifts for 6 of her
friends. She plans to spend the same amount for each gift. Which of the
following inequalities best represents the maximum amount Maria can spend on
each gift? *


DONT say the answer is on some link that’s annoying.

Answers

it’s option 4 :)
on edge

Explain how the vertical line test can be used to determine if a graph
is a function.

Answers

Answer:

Step-by-step explanation:

If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

Example:

Answer:

Step-by-step explanation:

The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

3, 6, 12,
The common ratio is

Answers

Answer:

The common ratio is 2.

Step-by-step explanation:

3 : 6 : 12

1 : 2 : 4

What is the relationship between the values tand s plotted on the number line
below?
S
A. t= s
B. t>s
O c. tcs

Answers

Answer:

The answer should be t > s. (B) is the answer.

Can someone help me out

Answers

Answer:

4 (100-250 words with a 100-word minimum)

please help with number 53!!!!
pretty please

Answers

Answer:

The sequence would be arithmetic. This is because an arithmetic sequence has a common number multiplying, adding, subtracting etc. The common rule for this set of numbers was x5. 9x5=45, 45x5=225 etc. We simply used this method with negative numbers, but the rule was still multiplying.

Happy learning!

--Applepi101 :)

Answer:

Arithmetic

Step-by-step explanation:

It has a constant difference between each number whilst Geometric usually has the same difference between each number

Estelle hosted a banquet for her extended family that cost $480.93. Estelle paid 9.25% sales tax and left an 18% tip on $480.93. What was the total cost?

Answers

Answer:

$563.89:  total cost of the banquet

Step-by-step explanation:

Here we can to find the total cost, including tax and tip, by adding 9.25% and 18% together first.  We obtain 17.25%, which translates into the decimal fraction 0.1725 and results in the amount added to the original cost, $480.93.  The result is added to $480.93:  

1.0000($480.93) + 0.1725($480.93)  =  $563.89

A shortcut would be to find the total cost, including the original $480.93 and the additional 17.25%, by multiplying $480.93 by 1.1725:

1.1725($480.93) = $563.89:  total cost of the banquet

What is the probability of student liking music given they already like

Answers

Answer:

So so so easy its 1 because all of them like music

Solve
4(-5)(-2)(-3)
show your work<3
no links

Answers

Answer:

-120

Step-by-step explanation:

4(-5)(-2)(-3)

= -20 × 6

= -120 (Ans)

Answer:

-120

Step-by-step explanation:

lots of approaches here

suggest saying that there are 3 (odd) number of negative signs

so the answer is negative (-)

5*4 = 20

20*2 = 40

40*3 = 120

we determined that the answer has to be negative

-120

Which expression results in the smallest difference?
A.
B.
C.
12.5 - 3.1
12.5 -0.31
12.5 -0.031
D.
12.5 -0.0031​

Answers

The answer is C 12.5 -0.031

The rectangle below has an area of x2 - 16 square meters and a width of x + 4 meters.
What expression represents the length of the rectangle?
x +4
Length
x2 - 16
Length
meters

Answers

Answer:

Length = x - 4 meters

Step-by-step explanation:

Area of a rectangle = length × width

Area of a rectangle = x² - 16

width of the rectangle = x + 4 meters.

Length of the rectangle = ?

Recall:

Difference of two perfect square x² - 16 = (x + 4)(x - 4)

Area of a rectangle = length × width

(x + 4)(x - 4) = length * x + 4

Length = (x + 4)(x - 4) ÷ x + 4

Length = x - 4 meters

HELPPP PLEASEEEEEEE!!

Answers

Answer:

We would use the explicit formula since the explicit formula is used for finding the nth term in a sequence. The reason why it's not the recursive is because the recursive formula helps you find the next terms using a formula of the preceding term or term before the next term.

3)
How many solutions are there to the following equation?
3x-2(1 + x) + 2 = x
A. O
B. 1
C. Infinitely many

Answers

Answer:

letter B.1

ayan po sagot sa number 3

Step-by-step explanation:

3x-2(1 + x) + 2 = x

3x-2-2x+2=x

x-x=0

infinitely many

Put these Set of Numbers in ascending order.
3
-1
[tex] \sqrt{5} [/tex]
13
-11​

Answers

Step-by-step explanation:

i think may be

3 ,13 ,-1 ,-11 , root under 5

if a dog drinks 8 quart of water a day, how many gallons does the dog drink in 3 days​

Answers

Answer:

6 gallons

Step-by-step explanation:

There are 4 quarts in gallons, so the dog drinks 2 gallons a day.

When we multiply 2 and 3, we would get 6.

So the dog drinks 6 gallons in 3 days (I don't know about you, but that's a lot of water)

---------------------------------------------------------------------------------------------------------------

Have a great summer :)

Answer:

The dog will drink 6 gallons.

Step-by-step explanation:

Every 8 quarts is 2 gallons.

Multiply 2 by 3, you'll get 6.

that's how much gallons a dog drinks in 3 days.

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