An item was increased by 20% but then decreased by 25%. Calculate the percentage change and state if it was an increase or decrease.

Answers

Answer 1

Answer:

10% Decrease

Step-by-step explanation:

Let the number is 100.

Now, if we increase the number by 20%, the new number will be -

100 + (100 × 20%) = 100 + 20 = 120

The new number is 120.

Again, if we decrease the new number by 25%, the number will be -

120 - (120 × 25%) = 120 - 30 = 90

The new number is 90.

The change will be decreased by = (100 - 90) = 10

Percentage change = (10 ÷ 100) × 100 = 10%


Related Questions

Which percent is equivalent to 720?

Answers

Answer:

720%

Step-by-step explanation:

it was easy cant explain

Answer: Its 35%

Step-by-step explanation: I'm assuming you mean 7/20

Four CDs and 4 DVDs cost $164. The cost of the 4 CDs is half the cost of the
4 DVDs. What is the cost of each CD?
Which of the following problems would help you solve the problem above?

Answers

Answer:

Each CD cost $20.50

Step-by-step explanation:

You would divide the cost of the DVDs by 4: 164÷4=41

Now the CDs are half the cost of the DVDs so you would divide 41 by 2: 41÷2=20.50

Your answer would be $20.50

Rasie 2 to the 4th power then find the difference

Answers

16 i believe, but you can look it up on google to be sure

2. Doug paid $39.95 for dinner. He left a 15% tip for the server. Which of the following is closest to
the tip left by Doug? *

Answers

Answer:

$5.99

Step-by-step explanation:

In this problem, Doug paid the following amount for the dinner:

[tex]p=\$39.95[/tex]

He also left a 15% tip.

Here we want to calculate what is the amount correspondant to the tip.

In order to find this value, we have to calculate the 15% of the value of the dinner, therefore we want to find

the 15% of 39.95$

The percentage (15%) can be rewritten as fraction:

[tex]15\% =\frac{15}{100}[/tex]

Therefore, the amount of the tip is

[tex]t=\frac{15}{100}p[/tex]

And substituting p, we find:

[tex]t=\frac{15}{100}(\$39.95)=\$5.99[/tex]

So, the tip is $5.99.

Answer: 5.99

Step-by-step explanation:

Change % to decimal

Then multiply

15% =.15

39.95 x .15 = 5.99

What is 19/22 as a decimal rounded to the nearest tenth

Answers

Final answer:

19/22 as a decimal is approximately 0.86363636..., and when rounded to the nearest tenth, it is 0.9.

Explanation:

To find what 19/22 is as a decimal rounded to the nearest tenth, we first need to perform the division of 19 by 22. When you carry out this division, the result is approximately 0.86363636... To round this to the nearest tenth, we would look at the first digit after the decimal point, which is 8, since the next digit (6) is greater than or equal to 5, we round up the 8 to 9. Therefore, 19/22 rounded to the nearest tenth is 0.9.

Find the rate of change of the function
15x - 5y=20

Answers

Answer:

3

Step-by-step explanation:

⇒15x-20=5y

⇒(15x-20)/5=y

⇒3x

The rate of change of the function is 3

m = 3

how to find the rate of change of the function

To find the rate of change of the function 15x - 5y = 20, we need to solve for y in terms of x and then determine the coefficient of x, which represents the rate of change.

Let's solve the equation for y:

15x - 5y = 20

Subtract 15x from both sides:

-5y = -15x + 20

Divide both sides by -5:

y = (15/5)x - 4

Simplifying the equation:

y = 3x - 4

Now we can observe that the coefficient of x is 3. Therefore, the rate of change of the function is 3. This means that for every unit increase in x, the corresponding y-value increases by 3.

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3 halves times the product of 3 1 fifth

Answers

Answer:  48/10 , if you need it simpflity then its 4 and four fifths ( 4 4/5 )    

how do i write this decimals 56.01 in expanded form

Answers

Answer:  sowwy if im wrong

Expanded Numbers Form:

50

+6

+0

+0.01

Step-by-step explanation:

Expanded Numbers Form:

50

+6

+0

+0.01

Expanded Factors Form:

5*10

+6*1

+0*0.1

+1*0.01

Expanded Exponential Form:

5*101

+6*100

+0*10-1

+1*10-2

The expanded form of 56.01 is 50 + 6 + 0.01.

To write the decimal 56.01 in expanded form, we break down each digit's place value.

56.01 can be expressed in expanded form as follows:

50 + 6 + 0.01

The place values are as follows:

50 (50 is in the tens place, and we can also write it as 5 * 10)

6 (6 is in the ones place, and it is just 6)

0.01 (0.01 is in the hundredths place, and we can also write it as 1/100)

So, the expanded form of 56.01 is 50 + 6 + 0.01.

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A line is perpendicular to y = - x-1
and intersects the point (6,9).
What is the equation of this
perpendicular line?

Answers

Answer:

y=x+3

Step-by-step explanation:

y=-1x-1..... k1=-1

k1*k2=-1 (perpendicular) then

Slope=1=k2

A(6,9) x1 =6,y1 =9

y-y1 =k2(x-x1)

y-9=1(x-6)

y-9=x-6

y=x-6+9

y=x+3

What is s in 2m+4s=16 if m=-2

Answers

Answer:

s = 5

Step-by-step explanation:

2m + 4s = 16

Step 1:  Plug in -2 for m

2(-2) + 4s = 16

-4 + 4s = 16

Step 2:  Solve for s

-4 + 4s + 4 = 16 + 4

4s / 4 = 20 / 4

s = 5

Answer: s = 5

Answer:

s= 5

Step-by-step explanation:

s= 5

m= - 2

2m + 4s= 16

Replace the m with the value it is in brackets. Remember brackets mean to multiply.

2(-2) + 4s= 16

-4 + 4s= 16

Carry over the -4 and make s the subject.

4s= 16 - - 4

4s= 16 + 4

4s= 20

s= 20/4

s= 5

Therefore s= 5

To check if the answer was correct, replace the s and m with the value it is in brackets. s= 5; m= 2

2(-2) + 4(5)= 16

-4 + 20 = 16

Therefore s= 5 and the answer is correct!

Which statement below is true?
A. If p → q is true, then q → p is true.
B. If p → q is true and p is true, then q is true.
C. If p → q and q → r are true, then q → p is true.
D. If p → q and q → r are true, then r → p is true.

Answers

D
if p is bigger the q but r is bigger the p then r is also bigger then q
Final answer:

The correct statement is B. If p → q is true and p is true, then q is true.

Explanation:

The correct statement is B. If p → q is true and p is true, then q is true.

This is known as the modus ponens rule and is a valid argument form in propositional logic. It states that if an implication is true and the antecedent (p) is true, then the consequent (q) must also be true.

For example, if p represents 'it is raining' and q represents 'the ground is wet', and the statement 'if it is raining, then the ground is wet' is true, and we know that it is indeed raining (p is true), then we can conclude that the ground is wet (q is true).

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How would I solve this ?

Answers

1. Use the Multiplication Distributive Property: (xy)^a = x^a y^a

3√6 3√x √y^2

2. Use this rule: (x^a)^b = x^ab

3√6 3√xy^2/3

given h(x) = 4x + 3, find h(-1)

Answers

Answer:

-1

Step-by-step explanation:

4x-1=-4

-4+3=-1

The value of h(-1) is -1 after plugging the value of x = -1 in the function h(x) = 4x + 3 the answer is -1.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The function h(x) = 4x + 3

Plug x = -1 in the above function:

h(-1) = 4(-1) + 3

h(-1) = -4 + 3

h(-1) = -1

The linear function can be defined as the relation between two variables, if we plot the graph of the linear function we will get a straight line.

If in the linear function, one variable is present, then the function is known as the linear function in one variable.

Thus, the value of h(-1) is -1 after plugging the value of x = -1 in the function h(x) = 4x + 3 the answer is -1.

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(−3x − 6)(3x2 − 6x + 3)????

Answers

Answer:

-216

Step-by-step explanation:

(−3x − 6)(3x2 − 6x + 3)

=(18)(6 − 6x + 3)

=(18)(6 − 18)

=(18)(− 12)

= -216

Answer:

-9 • (x + 2) • (x - 1)2

Step-by-step explanation:

(-3x-6)(3x2-6x+3)  

Final result :

 -9 • (x + 2) • (x - 1)2

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (-3x - 6) • ((3x2 -  6x) +  3)

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  -3x - 6  =   -3 • (x + 2)  

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  (3x2 - 6x + 3)  =   3 • (x2 - 2x + 1)  

Trying to factor by splitting the middle term

4.2     Factoring  x2 - 2x + 1  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -2x  its coefficient is  -2 .

The last term, "the constant", is  +1  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 1 = 1  

Step-2 : Find two factors of  1  whose sum equals the coefficient of the middle term, which is   -2 .

     -1    +    -1    =    -2    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -1  and  -1  

                    x2 - 1x - 1x - 1

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-1)

             Add up the last 2 terms, pulling out common factors :

                    1 • (x-1)

Step-5 : Add up the four terms of step 4 :

                   (x-1)  •  (x-1)

            Which is the desired factorization

Multiplying Exponential Expressions :

4.3    Multiply  (x-1)  by  (x-1)  

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is  (x-1)  and the exponents are :

         1 , as  (x-1)  is the same number as  (x-1)1  

and   1 , as  (x-1)  is the same number as  (x-1)1  

The product is therefore,  (x-1)(1+1) = (x-1)2  

Final result :

 -9 • (x + 2) • (x - 1)2

solve for x
x/9=7

i need help

Answers

Answer:

x = 63

Step-by-step explanation:

Step 1:  Solve for x by multiplying both sides by 9

x/9 * 9 = 7 * 9

x = 63

Answer:  x = 63

The ordered pairs below represent a relationship between x and y.

Answers

Answer:

Step-by-step explanation:

I am greater than 1/3 but less than 1. My numerator and denominator have a difference of 5 and a product of 24. Who am I?​

Answers

Answer:

Step-by-step explanation:

5/8

What is the perimeter of the isosceles triangle shown below?
A) 27 units
B) 22 units
C) 32 units
D) 24 units

Answers

The perimeter of the isosceles triangle is C) 32 units.

Step-by-step explanation:

Step 1; First, we plot the three ends of the triangle. Assume the bottom left is A, the bottom right is B and the top end is C. The coordinates are;

A = (-6, -2), B = (6, -2) and = C (0, 6). A triangle's perimeter is the sum of its three side lengths. So we need to determine the side lengths of the given sides.

Step 2; To find the distance between A (-6, -2) and B (6, -2), we use the formula

Distance = √ (x2 - x1)² + (y2 - y1)².

Distance between (-6, -2) and (6, -2) where (-6, -2) is (x1, y1) and (6, -2) is        (x2, y2).

Distance = √ (6 - (-6))² + (2 - (-2))² = √ 12² + 0² = √12² = 12 units.

Step 3; To find the distance between C (0, 6) and B (6, -2), we use the formula

Distance = √ (x2 - x1)² + (y2 - y1)².

Distance between (0, 6) and (6, -2) where (0, 6) is (x1, y1) and (6, -2) is         (x2, y2).

Distance = √ (6 - 0)² + (-2 - 6)² = √ 6² + 8² = √36 + 64 =√100 = 10 units.

Step 4; To find the distance between C (0, 6) and A (-6, -2), we use the formula

Distance = √ (x2 - x1)² + (y2 - y1)².

Distance between (0, 6) and (-6, -2) where (0, 6) is (x1, y1) and (-6, -2) is        (x2, y2).

Distance = √ (-6 - 0)² + (-2 - 6)² = √ 6² + 8² = √36 + 64 =√100 = 10 units.

Step 5; The perimeter of the triangle = 12 + 10 + 10 = 32 units, which is option C.

Find the sum of the first 8 terms in the following geometric series.
Do not round your answer. 2+8+32+...

Answers

the answer is 43,690

The sum of 8 terms is 43690.

What of series?

A series is the cumulative sum of a given sequence of terms.

Given:

2+8+32+...

a=2. r= 4

So, the sum of 8 terms

Sn = a(r^n - 1) / (r - 1),

S8 = 2( 65536 -1)/ (4-1)

S8= 65535*2/

S8 = 43690.

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If m∠NOP = 24° and m∠NOQ = 110°, what is m∠POQ?

Two adjacent angles, angle NOP and angle POQ.
A. 62°
B. 86°
C. 134°

Answers

Correct answer for the above question is - option B. 86°

Step-by-step explanation:

Given:

∠NOP = 24°

∠NOQ = 110°

∠NOP and ∠POQ are adjacent angles

To Find:

∠POQ = ?

Solution:

Hereby, we can say that ∠POQ lies between line OQ and ON as given (∠NOP and ∠POQ are adjacent angles )

∠NOQ - ∠NOP = ∠POQ

∠POQ = 110° - 24°

∠POQ = 86°

Angle POQ is  86°

Thus we can conclude option B as correct answer.

The measure of the angle POQ is  86°

From the question, we are given the following parameters;

Given:  

∠NOP = 24° ∠NOQ = 110° ∠NOP and ∠POQ are adjacent angles  

Required  

∠POQ = ?  

To get the unknown angle ∠POQ, we will use the expression below:

 ∠NOQ - ∠NOP = ∠POQ

∠POQ = 110° - 24°

∠POQ = 86°

Therefore the measure of the angle POQ is  86°

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Order the numbers from least to greatest. -1/20, -5/8, -1 , and -3/4

Answers

Answer:

The answer is: -1, -3/4, -5/8, -1/20

Find an equation in slope-intercept form of the line that has slope 2 and passes through point A(-8, 7)

Answers

Answer:

y = 2x + 23

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (- 8, 7) into the partial equation

7 = - 16 + c ⇒ c = 7 + 16 = 23

y = 2x + 23 ← equation of line

Answer:

y=mx+c

y=2x+c

Y intercept(c) 23 - to find y we have to input the values

7=2*-8+c

7=-16+c

23=c

A. Quotient
B. Difference
C. Product
D. Sum

Answers

Answer: product

Step-by-step explanation:

product means that you are multiplying

[tex]\pi r * r = \pi r^{2}[/tex]

Marisol is solving the equation 6(x+3)=21. Find her mistake and correct it.​

Answers

Answer:

x = 1/2, See Explanation Below

Explanation:

When you solve the equation, you have to take out the 6 first. The mistake is that you Marisol subtracted from 3 directly instead of factoring the x and the 3 out. Below is what you are supposed to do in order to get the right solution.

Step-by-step for Equation:

6(x+3) = 21

6x + 18 = 21

6x = 21 - 18

6x = 3

x = 3/6

x = 1/2

I hope this helps! If you are kind enough, please give me the brainliest answer. It is greatly appreciated if so. Thank You!

This is step by step for you

6(x+3)=21

6 times X would be 6x

6 time three would be 18

You always wanna do what’s in parentheses first

So now your problem would be 6x+18=21

Now you subtract 18 from 21 to get the 6x by itself and it would look like this now 6x=3

Now divide 6 by itself and by 3 and you would get x=3

What is the equation of a circle with center (2,-8) and radius 9?

Answers

Answer:

9^2= (x+2)^2+(y+8)^2

Step-by-step explanation:

The equation is r^2=(x+h)^2+(y-k)^2

Answer:

x2+y2-4x+16y-13

Step-by-step explanation:

center (h,k)=2,-8

radius(r)=9

we know

(x-h)2+(y-k)2=r2

now insert above given information

(x-2)2+(y+8)2=9×9

how do you find volume of a octagonal prism?

Answers

Answer:

V=2(1+2)a2h

Step-by-step explanation:

Final answer:

To calculate the volume of an octagonal prism, find the area of the base using the formula A = 2(1 + √2)s² for a regular octagon, then multiply by the prism's height. Ensure all measurements are in the same units.

Explanation:

To find the volume of an octagonal prism, you need to calculate the area of the base octagon and then multiply it by the height of the prism. The formula for the area of a regular octagon (assuming all sides, s, are equal) is                       [tex]A = 2(1 + \sqrt{2} )s^2[/tex], where s is the length of one side. To find the volume, V, you then multiply this area by the height, h, of the prism: V = A*h = [tex]2(1 + \sqrt{2} )s^2*h[/tex]. It's important to ensure that all measurements are in the same units to get the volume in cubic units (e.g., cubic centimeters, cubic meters).

Yuko is making pancakes. The double number line shows the ratio flour:eggs. If yuko accidentally uses 3 eggs instead of 2 eggs, how much flour should he use?

Answers

Answer: Since Yuko used 1.5x the amount of eggs that he should have used, in order to find the answer you need to take the amount of flour Yuko was SUPPOSED to use and multiply it by 1.5

Final answer:

If Yuko uses 3 eggs instead of 2, Yuko should multiply the amount of flour required by 3/2 or 1.5 to maintain the correct proportionality, according to the recipe's proportions.

Explanation:

Based on the problem, we are dealing with ratios in a recipe. The ratio provided is flour to eggs. If we had an example ratio, let's say 2 cups flour to 1 egg, and Yuko uses 3 eggs instead of 1, we'd have to scale up the flour by the same factor to keep the proportions in the pancake batter consistent.

Since Yuko uses three times the eggs (3 is three times larger than 1), he should also use three times the amount of flour. So for our example, if 1 egg needed 2 cups of flour, 3 eggs (which is three times 1 egg) would require 6 cups of flour (three times 2 cups) to maintain the correct proportionality.

Thus, if Yuko accidentally uses 3 eggs instead of 2 eggs, he needs to also increase the amount of flour used proportionately to maintain the same pancake consistency according to the recipe's ratios.

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Rishi is making a map of a remote village. In this village, each hut has a rectangular base measuring

4

m

4 m4, start text, space, m, end text by

6

m

6 m6, start text, space, m, end text.

Move the points on the grid below to draw the base of one of the huts described above.

Answers

The required dimensions of the hut base will be 8 by 12 m.

What is the perimeter of the rectangle?

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

The perimeter of a rectangle = 2(L+W)

Where W is the width of the rectangle  and L is the length of the rectangle

We have been given that Rishi is making a map of a remote village. In this village, each hut has a rectangular base measuring 4 m by 6 m.

Move the points on the grid below to draw the base of one of the huts described above.

As shown in the above figure, just move the top two points down two spaces. Two sides take up four, and the other two take up six. we can find that the length of the hut base is 12 m and the width 8 m.

Therefore, the required dimensions of the hut base will be 8 by 12 m.

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What is the exact value of tan(3009)?

Answers

Answer:

-sqrt(3)

Step-by-step explanation:

If you type in your calculator, you'll get -1.732050808... which is the negative of sqrt(3)

Joey is organizing his toys so that each bin has the same number of toys without mixing the toys. He has 27 trucks and 36 boats. What is the greatest number of toys that can be put in a bin?

Answers

Final answer:

In the problem, we need to find the greatest common factor (GCF) of 27 and 36, which are the number of toys Joey has. The GCF is the highest number that can divide two numbers without a remainder. Factoring out, we see that the GCF is 9, and thus, Joey can put 9 toys in each bin.

Explanation:

The subject of this question is Mathematics, specifically the area of greatest common factor (GCF). We have to find the greatest number of toys that can be evenly distributed in bins using 27 trucks and 36 boats.

To solve this problem, we need to determine the GCF of 27 and 36. The GCF is the largest number that can divide two numbers without a remainder. Factoring out 27 and 36, we find that their common factors are 1, 3, and 9, with 9 being the largest. Therefore, the greatest number of toys Joey can put in a single bin without mixing the toy types is 9.

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Other Questions
Shana spends time alone during unstructured classroom activities and does not seek out or join in peer interactions. You have demonstrated interactions for Shana and discussed the value of her contributions with her. How can you have Shana's peers help her with her communication skills? What is not the reason why presidential power has grown? Two increased by the product of a number and 9 is greater than or equal to 25. A good sense of contentment means that you work hard throughout your life, leaving little time for rest and play.Please select the best answer from the choices provided,TF Which type of alternative site has the basic environmental controls necessary to operate, but has few of the computing components necessary for processing? Bonita Industries sells radios for $50 per unit. The fixed costs are $645000 and the variable costs are 60% of the selling price. As a result of new automated equipment, it is anticipated that fixed costs will increase by $215000 and variable costs will be 50% of the selling price. The new break-even point in units is: Alice earner 32,756 annually ; 6.5% of her gross pay was withheld for state and local taxes. How much were her taxes ? Which of Baumrind's parenting patterns tends to exhibit low restrictiveness and high warmth in parents who use it in their interactions with their children? What is the economic system of the United States called? A pendulum consisting of a sphere suspended from a light string is oscillating with a small angle with respect tothe vertical. The sphere is then replaced with a new sphere of the same size but greater density and is set intooscillation with the same angle. How do the period and maximum acceleration of the new pendulum compare tothose of the original?PeriodAccelerationa. LargerSmallerb. SmallerLargerC. The sameThe samed. The sameSmaller Why would an administrator lower an RF signal on a wireless access point?Increase QoSLower interferenceLower the signal to keep it in the buildingMake it harder for guests to access the network An ideal prospect for a universal life insurance policy is someone who foresees a possible future need to adjust the amount of the death benefit and/or the premium for the policy. Also, the prospect should understand all of the following key terms of such a policy EXCEPT:_______.1. The policy holder does not control investment in policy and hence no investment risk.2. The cash value accrue based on credited interest that changes annually but subject to a minimum credit rate. 3. The death values may only adjusted up and down at certain times stated in the policy.4. The premium payments are deposited into separate account of the life insurance company. Kolker Company uses the percent-of-sales method to estimate uncollectibles. Net credit sales for the current year amount to $ 150 comma 000, and management estimates 4% will be uncollectible. Kolker Company's balance of Allowance for Uncollectible Accounts after adjustments, was $ 4 comma 000. The following year, Kolker Company wrote off $ 3 comma 000 of old receivables as uncollectible. What is the balance in the Allowance account now? Minority groups such as women, people of color, people with disabilities, and LGBT individuals are often treated unfairly due to their race, gender, sexual orientation, and/or physical and mental abilities. They are experiencing ______. How did Great Britain offer to help the US stop other European nations from establishing colonies in the Americas in the earl1800s?by making a joint statement against Franceby making a joint statement opposing colonizationby making a joint statement against Spainby jointly occupying Latin American republics for ten years What is not evidence that the charophytes are the closest taxon to plants? The _____ is in effect when an interest group tries to mobilize large numbers of constituents to write, phone, or send e-mails and tweets to legislators or the president. Factor X^2-y^2 using snowflake method A youngster having a mass of 50.0 kg steps off a 1.00 m high platform. If she keeps her legs fairly rigid and comes to rest in 10.0 ms, what is her momentum just as she hits the floor? What average force acts on her during the deceleration? Calculate the work done (in J) by a 90.0 kg man who pushes a crate 4.25 m up along a ramp that makes an angle of 20.0 with the horizontal (see below). He exerts a force of 535 N on the crate parallel to the ramp and moves at a constant speed. Be certain to include the work he does on the crate and on his body to get up the ramp.