1) The toad's jumps are 12 steps long.
2) One of Roger's jumps equals 45 steps.
3) Wartortle makes 1 jump to cover 96 steps.
4) One of Ribbie's jumps is equal to 14 steps.
1) Given that a toad jumps 8 times, and every time he jumps, he covers the same distance, and after 8 jumps, he had traveled 96 steps, to determine how long are his jumps the following calculation must be performed:
96/8 = X 12 = X So, his jumps are 12 steps long.
2) Given that Roger covers 52 steps in 1 jump and 7 steps, to determine how many steps are equal to one of Roger's jumps, the following calculation must be performed:
52 - 7 = X 45 = X Thus, one of Roger's jumps equals 45 steps.
3) Since Wartortle takes the same amount of time to get to 96, but he does it differently, as each of his jumps is equal to 8 of the toad's steps, to determine how many jumps does Wartorle make the following calculation must be performed :
8 x 12 = X 96 = X 96/96 = 1 Therefore, Wartortle makes 1 jump to cover 96 steps.
4) Given that Ribbie jumped just as far as MT, 52 steps, but Ribbie did it in 3 jumps and 10 steps, to determine how many steps are equal to one of Ribbie's jumps, the following calculation must be performed:
(52 - 10) / 3 = X 42/3 = X 14 = X Therefore, one of Ribbie's jumps is equal to 14 steps.
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Two legs of a right triangle are each 70 cm. If one leg grows at the rate of 5cm/min and the oth
shrinks at the rate of 5 cm/min.
A)how fast is the hypotenuse of the triangle changing 2 minutes later?
The rate of change of the hypotenuse after 2 minutes is 0.505 cm/min
Let L be the length of one leg and D be the length of the other leg of the right triangle and y its hypotenuse
Since it is a right angled triangle, we have that, using Pythagoras' theorem
y² = L² + D²
Since the length of sides are the same, L = D = 70 cm.
So, y² = L² + D²
y² = 70² + 70²
y² = 2(70²)
y = 70√2
y = 98.99 cm
Also, one side increases at a rate of 5 cm/min and the other side decreases at a rate of 5 cm/min.
The increase in length of one side after 2 min is 5cm/min × 2 min = 10 cm.
So, it new length is L' = 70 + 10 = 80 cm
The decrease in length of the other side after 2 min is -5cm/min × 2 min = -10 cm.
So, it new length is D' = 70 + (-10 cm) = 60 cm
So, the new hypotenuse length is y' = √(L'² + D'²)
= √(80² + 60²)
= √(6400 + 3600)
= √10000
= 100 cm
Now, the change in length of the hypotenuse side in 2 minutes is Δy = 100 cm - 98.99 cm = 1.01 cm
So, rate of change of the hypotenuse after 2 minutes is 1.01 cm/2 min = 0.505 cm/min
The rate of change of the hypotenuse after 2 minutes is 0.505 cm/min
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HURRY PLEASE I NEED HELP
Which transformation maps the strip pattern onto itself?
pdpdpdpdpd
A. half-turn
B. vertical reflection
C. glide reflection
D. vertical translation
The mapping of the strip pattern onto itself is a Glide reflection.
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Glide reflection is a combination of reflection over a line and then translation along that line.
As we can see, the mapping of the strip pattern onto itself is a Glide reflection.
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Answer:
A: Half-turn
Step-by-step explanation:
i took the test and got it wrong due to the wrong answer above.
The slope of a line is 2. The y-intercept of the line is -6. Which statements accurately describe how to graph the
function?
VX
O Locate the ordered pair (0, -6). From that point on the graph, move up 2. right 1 to locate the next ordered pain
the line. Draw a line through the two points.
O Locate the ordered pair (0.-6). From that point on the graph move up 2. left 1 to locate the next ordered pair
the line. Draw a line through the two points.
Locate the ordered pair (6.0). From that point on the graph, move up 2. right 1 to locate the next ordered pair
the line. Draw a line through the two points
Locate the ordered pair (6.0). From that point on the graph move up 2. left 1 to locate the next ordered pair on
the line. Draw a line through the two points
Save and Exit
Answer:
Locate (0,-6), move up 2, right 1
Step-by-step explanation:
Hi there!
To graph a linear function, we first locate the-intercept, then graph the next point according to the slope.
We're given that the y-intercept is -6. The y-intercept occurs when x=0, so therefore, the point (0,-6) falls on the line.
Locate (0,-6)
Now, to graph the next point, we look at the slope. The slope in this case is 2. This means every time the line travels to the right by 1 unit, it travels up 2 units.
Move up 2, right 1
I hope this helps!
What is the slope for 1,60,2,120,3,180,4,240
Answer:
the answer to your question is the slope is 60
HELP ME PLEASE I NEEED A GOOD GRADE DESPERATELY!!!!!
Question: A function has following characteristics:
• From -5 to -3, the function increases.
• From -3 to 0, the function neither increases nor decreases
From 2 to 5, but he function increases.
Which could be the graph(s) of this function?
Answer:
1.
Step-by-step explanation:
Answer:
The graphs that could be this function are the third one and the last one.
C and E
Hope this helps!
Step-by-step explanation:
Other than C and E, all of the other functions start out by decreasing starting from -5.
They both also have the straight part from -3 - 0 where the function neither increases nor decreases.
They also have the part where from 2 increases to 5.
Ali and Ben have a total of 36 CDs. After Ali gives Ben 40% of her CDs, Ben has twice as many as Ali. How many CDs did Ali have originally?
Answer:
I believe the answer is 20 cds
Step-by-step explanation:
got Ben to have twice her CDs he would have to have 24 while she had 12.
if Ali gave away 40 percent than 12 would be 60 percent.
from there I cross multiplied.
If the total number of CDs is 36, it is not possible to distribute them in a way that Ben receives twice as many as Ali after Ali gives away 40% of her CDs.
Let's assume the number of CDs Ali originally had is "x," and the number of CDs Ben originally had is "y."
According to the information given:
1. Ali and Ben have a total of 36 CDs: x + y = 36
2. After Ali gives Ben 40% of her CDs, Ben has twice as many as Ali:
Ali gives away 40% of x, which is 0.4x CDs.
After this, Ali has x - 0.4x = 0.6x CDs left.
Ben receives 0.4x CDs from Ali and now has y + 0.4x CDs.
According to the second statement, y + 0.4x = 2(0.6x).
Now, we have a system of two equations:
x + y = 36 ........(1)
y + 0.4x = 2(0.6x) ........(2)
First, let's simplify equation (2):
y + 0.4x = 2(0.6x)
y + 0.4x = 1.2x
Now, to solve for x, isolate y in equation (1) and substitute it into equation (2):
y = 36 - x
Substitute y in equation (2):
36 - x + 0.4x = 1.2x
Combine like terms:
36 = 1.2x + x - 0.4x
36 = 1.6x
Now, solve for x:
x = 36 / 1.6
x = 22.5
Since the number of CDs cannot be a decimal, let's reevaluate the equations.
From equation (1):
x + y = 36
Substitute the value of x we found:
22.5 + y = 36
y = 36 - 22.5
y = 13.5
Now, we have found that Ali originally had 22.5 CDs, which is not possible. However, since the number of CDs must be a whole number, it means there might be a mistake in the problem statement.
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is 5/8 greater than 61%? thanks i have late stuff that i need done
Answer:
5/8 is 62.5% which makes it greater
Step-by-step explanation:
Convert the fraction to a decimal and then just multiply it with 100
5/8 is 0.625
0.625×100 is 62.5
just add a %
then you get 62.5%
PLS HELP ME 20 points total
Answer:
b and f
Step-by-step explanation:
maths
Answer:
A) The point (1, 0.60) means that one pound of potatoes cost $0.60.
F) The point (40, 24) means that 40 pounds of potatoes cost $24.00.
Step-by-step explanation:
The given graph shows the linear relationship between the total cost and the number of pounds of potatoes.
In order to determine the total cost of potatoes per pound, use the following points on the graph:
Let (x₁, y₁) = (20, 12)
(x₂, y₂) = (25, 15)
Substitute these values into the following slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
m = (15 - 12) / (25, 20)
m = 3/5
Therefore, the slope of the line is 3/5 or 0.60. This means that the total cost increases by $0.60 for every pound of potatoes.
Option A: Since we determined that the slope represents the change in total cost increases by $0.60 for every pound of potatoes. Multiplying the number of pounds by the cost per pound, $0.60, will give you the total cost of the potatoes. Thus, 1 pound of potatoes × $0.60 per pound = $0.60.
This matches the points described in Option A, thereby making it as one of the valid answers.
Option B) is incorrect because the total cost of 12 pounds of potatoes is $7.20. The given option states that $7.20 is the cost per pound of potatoes, which is false. The cost per pound of potatoes is $0.60.
Option C) Similar to Option B, 12 pounds of potatoes doesn't cost $20 per pound.
Option D) The descriptions of the coordinates, (25, 15) were mixed up: it should have been "25 pounds of potatoes cost $15." Hence, Option D is incorrect.
Option E) Similar to Option D, the descriptions of the coordinates, (30, 18) were mixed up: it should have been "30 pounds of potatoes cost $18." Hence, Option D is incorrect.
Option F) The point, (40, 24) appropriately represents the total cost of $24 for the 40 pounds of potatoes. Therefore, Option F is correct.
(a/b)^-3 x (a^2 b)^2 x (b^3)^0
Answer:
A^7x^2/B
Step-by-step explanation:
Find the sum of the first 32 terms of the AP : 0.5, 0.75, 1
Answer:
[tex]S_{32}[/tex] = 140
Step-by-step explanation:
The sum of n terms of an AP is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 0.5 and d = a₂ - a₁ = 0.75 - 0.5 = 0.25 , then
[tex]S_{32}[/tex] = [tex]\frac{32}{2}[/tex] [ (2 × 0.5) + (31 × 0.25) ]
= 16(1 + 7.75)
= 16 × 8.75
= 140
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.
To find the parallel :
First of all, Parallel equations should have the same slope and a different y-intercept!
Take the equation of a linear function : y = mx + b, the slope here is m and the y intercept is b.
When we’re given a point (x,y), we write our equation in the y = mx + b form, then substitute the given point for (x,y) and solve for B!
Practice
We already know our equation will be in the form y = mx + b
And we also know that the slope will be the same : m = 4/7
So y = 4/7x + b
Lets find b !
The line passes through the point (0,0) of origin :
0 = 4/7*0 + b
b = 0
So the y intercept is b = 0
And finally the equation will be :
y = 4/7x
Good Luck
A family buys a studio apartment for 120,000. They pay down payment of 18,000.
A. Their down payment is what percent of the purchase price?
B. What percent of the purchase price would a 48,000 down payment be?
Answer:
EZ
Step-by-step explanation:
A. 15 Percent
B. 40 Percent
Answer:
A) 15% B) 40%
Step-by-step explanation:
find the lcm of 3, 6 and 8
Answer:
24
Step-by-step explanation:
3x8=24
6x4=24
8x3=24
Answer number eight please
Answer:
Obtuse triangleStep-by-step explanation:
#8If the square of one side is greater than the sum of squares of other sides, the angle opposite to this side is greater than 90°.
It means the triangle has an obtuse angle, so the triangle is an obtuse triangle.
answer this question!.
Answer:
∠A = 44°
Step-by-step explanation:
Let b represent the measure of the exterior angle at B. Let c represent the measure of the exterior angle at C. The sum of angles in the lower triangle is ...
b/2 +c/2 +68° = 180°
b +c = 360° -136° . . . . . multiply by 2, subtract 136°
b +c = 224°
__
The exterior angle b is the supplement of the interior angle there, so the interior angle B is ...
B = 180° -b
The exterior angle c is the sum of the remote interior angles, so we have ...
c = B +A
c = (180° -b) +A
A = (b +c) -180° . . . . . . . . add b-180° to both sides
A = 224° -180° = 44° . . . . substitute for (b+c)
The measure of angle A is 44°.
_____
Additional comment
The angle naming is perhaps a little unconventional, but we wanted to use names that made the answer less cumbersome to write. We consider the angle A, B, C to be the interior angles of ΔABC, and we have named the exterior angles at B and C as 'b' and 'c'.
Conventionally, 'b' and 'c' would name the sides opposite angles B and C, respectively. We're not concerned with side lengths here, so we used those letters for an unconventional purpose.
What are the solutions of the equation x4−10x2+9=0? Use u substitution.
Group of answer choices
x = 3 and x = 1
x = 3i, x = -3i, x = i, x = -i
x = -3, x = 3, x = 1, and x = -1
x = -3 and x = -1
Answer:
Step-by-step explanation:
X^4 - 10X^2 + 9 =0 This factors. It just looks odd.
(x^2 - 1)(x^2 - 9) = 0
x^2 - 1 = (x + 1)(x - 1) = 0
x = 1 and x = - 1
x^2 - 9 = (x + 3)(x - 3) = 0
x = 3
x = -3
The correct answer is C (third one down).
I really don’t know how to do this
easy one for you folks.
Length = 4m
Width = ½ of length = ?
Then width will be,
→ 4 × 1/2
→ 4 ÷ 2 × 1
→ 2 × 1 = 2
Thus, 2 is the width.
The length of an eraser is ¾ inch. How many erasers would it take to make a row 42 inches long?
Answer:Let us suppose that we have 2 erasers. so the length of a row of 2 erasers would be
3/4+3/4=2 3/4
So, let us suppose that we have x erasers. The length of the row of x erasers would be
3/4 x
we want x such that this length is 42, so we have the equation
3/4 x =42
Step-by-step explanation:
Name the corresponding angles
Answer:
Falta otro triangulo para poder realizar la operacion
Step-by-step explanation:
O is the centre of the circle. Determine the value of s to the nearest tenth, if necessary.
a) 6.7
b) 7
c) 77
d) 9.2
What is the measure of the angle?
9514 1404 393
Answer:
d. 32°
Step-by-step explanation:
Vertical angles are congruent, so ...
5x +2 = x +26
4x = 24
x = 6
(x +26)° = (6+26)° = 32°
The measure of the angle is 32°.
_____
Additional comment
Vertical angles share a vertex. This means B and E are two names for the same point.
Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating. 15% tip on a bill of $53.67 The amount of the tip is approximately $
Answer:
357,8 if finding ???? before tip 53.67
8,050500000000001 if 53.67 and tip 15% 8,050500000000001
Step-by-step explanation:
Which table represents a direct variation between x and y
Answer:
Y
Step-by-step explanation:
Because the direct variables are plus twenty five
Describe in words the following expressions.
2x + 15
5y - 12
Answer:
2x+15 = Two times some value of fifteen
How do you Find cross products with multiplication?
I will give 500 pts and Brainliest!
Answer:
A cross product is an form from an vector multiplication, performed in between for two vectors from a different kinds or nature. An vector may have both magnitude also direction. So we can multiply two or more vectors for crossing a product also a dot product. The resultant vector is an perpendicular to a plane having the two add vectors.
Step-by-step explanation:
Sorry if I am wrong!!!!Answer:
between for two vectors from a different kinds or nature. i think
brainliest???
Step-by-step explanation:
HELP ME PLEASE IS IMPORTANT AND ASAP!
Determine whether f(x)= 5 - 2x2 -5x has a maximum or a minimum value and find that value.
Answer:
maximun (0,5)
Step-by-step explanation:
Answer:
So, I put Maximum. (-5/4, 65/8) and it was correct
Step-by-step explanation:
I don't know how to do step by step sorry
Admit it, you're waiting for something that has no chance of happening.
Alone, I feel sad. ...
Behind every “it's okay” is a little pain.
Clowns need laughter too.
Do you ever think about your well-being and realize how not okay you are?
Drowning in a whirlpool of emotions.
Answer:
no.
Step-by-step explanation:
no. thanks.
..........
..
Robert runs 3 times a week for 12 weeks. Each run is 4 miles. How many total miles will he run during 12 weeks?
Answer:
144
Step-by-step explanation:
first you gotta do 3x4 which is 12 then 12x12. and then you get 144.
Robert will run a total of 144 miles during the 12 weeks.
Given:
Robert runs 3 times a week for 12 weeks.
So, total number of runs will be:
= 3 runs/week * 12 weeks
= 36 runs
Since each run is 4 miles, multiply the total number of runs by the distance per run:
= 36 runs * 4 miles/run
= 144 miles
Therefore, Robert will run a total of 144 miles.
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