Answer:
\(\huge\boxed{\sf x = 17}\)
Step-by-step explanation:
Since m is a straight line, its measure is 180 degrees.
So,
2x + 5 + 8x + 5 = 180
2x + 8x + 5 + 5 = 180
10x + 10 = 180
10x = 180 - 10
10x = 170
Divide both sides by 10
x = 17
\(\rule[225]{225}{2}\)
Hope this helped!
~AH1807Peace!45% of 81.2 is a number between.....
If you use your office computer 20 hours per week, and do not unplug it when it is not in use, how much carbon dioxide is produced from the vampire energy used by the office computer in one year ? help (energyvampires)
Express your answer rounded to the nearest tenth of a pound of carbon dioxide.
The carbon dioxide that is produced from the vampire energy used by the office computer is 1042.8 kWh.
How to calculate the value?Based on the information given, the number of hours that the computer is plugged on a day will be:
= 20/7
= 2.857 hours
Therefore, the power consumption in a year will be:
= 2.857 × 365
= 1042.8 kWh
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What is 18 percent of 210?
Answer:
WN=37.8
Step-by-step explanation:
WN=18%*210
WN=0.18*210
WN=37.8
algebra 2: cc 2015 > chapter 7: solving rational equations > section exercises 7.5 > exercise 16 previous 16 answer sheet
A linear equation is an algebraic equation with two or more variables in which the highest degree of the variables is one. Linear equations can be written in the form ax + b = c, where a, b, and c are all constants.16. x = 32
To solve the equation 8x - 5 = 257, we need to isolate the variable x. We can do this by adding 5 to both sides.
8x - 5 + 5 = 257 + 5
8x = 262
Then, we can divide both sides by 8 to isolate x.
8x/8 = 262/8
x = 32
To solve the equation 8x - 5 = 257, we can add 5 to both sides to isolate the variable x. This gives us 8x = 262. Dividing both sides by 8 then gives us x = 32. This is the solution to the equation.
The complete question is :
algebra 2: cc 2015 > chapter 7: solving rational equations > section exercises 7.5 > exercise 16 previous 16 answer sheet .What is the solution to the equation 8x - 5 = 257?
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Morganton Company makes one product and it provided the following information to help prepare the master budget:
The budgeted selling price per unit is $60. Budgeted unit sales for June, July, August, and September are 8,600, 17,000, 19,000, and 20,000 units, respectively. All sales are on credit.
Thirty percent of credit sales are collected in the month of the sale and 70% in the following month.
The ending finished goods inventory equals 25% of the following month’s unit sales.
The ending raw materials inventory equals 10% of the following month’s raw materials production needs. Each unit of finished goods requires 5 pounds of raw materials. The raw materials cost $2.40 per pound.
Thirty five percent of raw materials purchases are paid for in the month of purchase and 65% in the following month.
The direct labor wage rate is $14 per hour. Each unit of finished goods requires two direct labor-hours.
The variable selling and administrative expense per unit sold is $1.80. The fixed selling and administrative expense per month is $67,000.
5. If 96,250 pounds of raw materials are needed to meet production in August, how many pounds of raw materials should be purchased in July?
Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July
X pounds - 0.35 * X pounds = 9,500 pounds
Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.
To determine the number of pounds of raw materials that should be purchased in July, we need to calculate the raw materials production needs for August and then consider the inventory policies given in the information provided.
Each unit of finished goods requires 5 pounds of raw materials. The budgeted unit sales for August are 19,000 units. Therefore, the raw materials production needs for August would be 19,000 units multiplied by 5 pounds per unit, which equals 95,000 pounds.
The ending raw materials inventory equals 10% of the following month’s raw materials production needs. Therefore, the desired ending raw materials inventory for July would be 10% of 95,000 pounds, which is 9,500 pounds.
To calculate the raw materials purchases for July, we need to consider the payment terms provided. Thirty-five percent of raw materials purchases are paid for in the month of purchase and 65% in the following month.
Let's assume the raw materials purchases for July are X pounds. Then the payment for 35% of X pounds will be made in July, and the payment for 65% of X pounds will be made in August.
The payment for raw materials purchases in July (35% of X pounds) will be:
0.35 * X pounds
The payment for raw materials purchases in August (65% of X pounds) will be:
0.65 * X pounds
Since the raw materials purchases for July should cover the desired ending raw materials inventory for July (9,500 pounds), we can set up the following equation:
Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July
X pounds - 0.35 * X pounds = 9,500 pounds
Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.
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8. A pyramid has a volume of 8 cubic feet. The height is 2 feet. The base is rectangular. Give possible dimensions for the length and width of the base.
Answer:
base = 12 ft²
The base could be 3 ft x 4 ft, 6 ft x 2 ft, etc. (any numbers multiplied together = 12)
Step-by-step explanation:
volume = 1/3bh
8 = 1/3b(2)
multiply both sides of the equation by 3:
24 = 2b
b = 12 ft²
Rectangle ABCD has coordinates A(−10, 5), B(10, 5) , C(10, 0), and D(−10, 0). Rectangle A′B′C′D′ has coordinates A′(−2, 1), B′(2, 1), C′(2, 0) , and D′(−2, 0) . Which transformation describe why rectangles ABCD and A′B′C′D′ are similar? Responses Rectangle ABCD was reflected across the y-axis to form rectangle A′B′C′D′. , Rectangle , A B C D, , , was reflected across the y -axis to form rectangle, , , A prime B prime C prime D prime, . , Rectangle ABCD was dilated by a scale factor of 5 to form rectangle A′B′C′D′. , Rectangle , A B C D, , , was dilated by a scale factor of 5 to form rectangle, , , A prime B prime C prime D prime, . Rectangle ABCD was dilated by a scale factor of 15 to form rectangle A′B′C′D′ . , Rectangle , A B C D, , , , was dilated by a scale factor of , , 1 over 5, , to form rectangle, , A prime B prime C prime D prime, , . Rectangle ABCD was rotated 90° counterclockwise to form rectangle A′B′C′D′.
The correct transformation that describes why rectangles ABCD and A′B′C′D′ are similar is Rectangle ABCD was dilated by a scale factor of 5 to form rectangle A′B′C′D′.
Dilation is a transformation that changes the size of an object while maintaining its shape. In this case, the coordinates of rectangle ABCD were multiplied by a scale factor of 5 to obtain the coordinates of rectangle A′B′C′D′.
This means that each side length of rectangle ABCD was multiplied by 5 to get the corresponding side length of rectangle A′B′C′D′.
The reflection across the y-axis and the rotation of 90° counterclockwise would result in different shapes and orientations, not maintaining the similarity between the two rectangles.
The dilation by a scale factor of 15 or 1/5 would also change the proportions and not result in a similar rectangle.
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What is the rental cost? Step by step.
The rental cost in dollars per square foot is $11,00
What is the rental cost in dollars per square foot?Cost of renting 1.250 square feet = $13, 750 per month
Rental cost per square foot = Total renting cost / total renting area
= $13, 750 per month / 1.250 square feet
= $11,000
Hence, $11,000 is the rental cost in dollars per square foot.
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The volume of a cone is 13.4m cubed and the radius is 3.2m what is the height
Answer:
The height is 1.25m.
Step-by-step explanation:
Volume = 1/3 πr²h
Given:
V = 13.4 m³
r = 3.2 m
Asked: height (h)
Substitute the formula with the given values then solve
13.4m³ = 1/3π(3.2m)²h
13.4(3) = 10.24πh
40.2 = 10.24πh
h = 40.2/10.24π
h = 1.25m
The height of the cone is 1.25 meters.
We know that the volume of the cone is given by
V = (1 / 3) * π * r ^2 * h................equation 1
where,
V is the volume of the cone.
r is the radius of the cone's base
h is the height
The volume and radius of the cone are given,
V = 13.4 m
r = 3.2m
substituting these values in equation 1 we get,
13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h
on simplifying further
13.4 = 10.717 * h
h = 1.25m
The height of the cone is 1.25 meters.
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one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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sasha buys 5 boxes crackers for 12.25 if each box cost the same amount how much does 1 box cost
Sasha buys 5 boxes crackers for 12.25 if each box cost the same amount one box of crackers costs $2.45.
To find the cost of one box of crackers, we can use the concept of unit rate, which is the cost per one unit. In this case, we want to find the cost per one box of crackers.
If Sasha bought 5 boxes of crackers for a total of $12.25, we can set up a proportion to find the cost of one box of crackers:
5 boxes / $12.25 = 1 box / x
Here, "x" represents the cost of one box of crackers. We can solve for "x" by cross-multiplying the proportion:
5 boxes * x = $12.25 * 1 box
5x = $12.25
x = $12.25 / 5
x = $2.45
To check our answer, we can multiply the cost of one box by the number of boxes Sasha bought:
$2.45 * 5 boxes = $12.25
This confirms that our answer is correct.
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Complete question is:
Sasha buys 5 boxes crackers for 12.25, if each box cost the same amount, then how much does 1 box of the crackers cost?
Hector saved $726 in 6 months. he saved the same amount each month. How much did hector save each month? I don’t have the answer and I don’t get it !
Answer:
He saved $121
Step-by-step explanation:
All you have to do is divide $726/6 which gives you $121.
A bag contains 3 blue marbles, 10 green marbles, 4 yellow marbles, and 8 red marbles. A marble is chosen at random, not replaced, then another marble is chosen. What is the probability that it is a red marble, then a blue marble? Write your answer as a fraction in simplest form.
Answer:
There are a total of 25 marbles in the bag.
The probability of choosing a red marble first is 8/25 since there are 8 red marbles out of 25 marbles in the bag.
Since a marble is not replaced after the first selection, there are now 24 marbles in the bag. There are still 3 blue marbles in the bag.
The probability of choosing a blue marble second, after a red marble has already been selected, is 3/24 or 1/8 since there are 3 blue marbles left out of 24 marbles in the bag.
To find the probability of both events occurring together, we multiply their individual probabilities:
8/25 x 1/8 = 1/25
Therefore, the probability that a red marble is chosen first, followed by a blue marble, is 1/25.
Mrs.jones waters the plants on her porch every 5 days. She waters the vegetable garden every 2 days. If she waters them both today, how many days will pass before she will water both of them on the same day again?
the answer is 10. if you take the lcm of 5 and 2 you should get it.
If JK is congruent to KL find JL
The value of JL in the give figure is 38 units.
What is triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon. A triangle as a polygon.
Given that, a triangle JKL, we have JK = KL, that means Δ JKL is an isosceles triangle,
KM is the median,
Therefore,
JM = ML
14x-9 = 8x+3
6x = 12
x =2
JL = 2(8(2)+3)
JL = 38
Hence, the value of JL in the give figure is 38 units.
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X+33% of X = 266
Answer:- 200
x + (1 + 33%) = 266
x * 1,33 = 266
x = 266 : 1,33
x = 200
Hello
x + 0.33 x = 266
1.33 x = 266
x = - 200
100 POINTS HELPPPP What entry on a cash flow statement would indicate that a business had a cash inflow from the sale of equipment?
A. Negative CapEx
C. Negative repayment of debt
B. Inflow from sale of PPE
D. Positive issuance of equity
Answer:
The cash flow statement paints a picture as to how a company’s operations are running, where its money comes from, and how money is being spent. So i think D is the answer
find x in this similar triangles
Answer:
6. x = 4
8. x = 13
Step-by-step explanation:
Using similar triangles theorem,
6. (5+4)/5 = (4x + 2)/(4x + 2 - 8)
9/5 = (4x + 2)/(4x - 6)
Cross multiply
9(4x - 6) = 5(4x + 2)
36x - 54 = 20x + 10
Collect like terms
36x - 20x = 54 + 10
16x = 64
16x/16 = 64/16
x = 4
8. (4x + 13)/20 = 52/16
(4x + 13)/20 = 13/4
Cross multiply
4(4x + 13) = 13(20)
16x + 52 = 260
16x = 260 - 52
16x = 208
x = 208/16
x = 13
what are the zeros of f(x)=2x^3+5x^2-2x-5, if one of the zeros is 1?
Answer:
x = -5/2, -1, 1
Step-by-step explanation:
Step 1: Factor
2x³ + 5x² - 2x - 5(2x + 5)x² - 2x - 5 (2x + 5)(x - 1)(x + 1)Step 2: Replace y with 0
"f(x)" is the same as "y = "
0 = (2x + 5)(x - 1)(x + 1)Case 1: (5 + 2x) = 05 + 2x = 02x = -5x = -5/2Case 2: (x - 1) = 0x - 1 = 0x = 1Case 3: (x + 1) = 0x + 1 = 0x = -1-Chetan K
Cierta clase de microbio se duplica en cada minuto. Si se coloca un microbio en un recipiente de una capacidad determinada, este se llena a los 30 min. ¿En que tiempo se llenará el recipiente si se colocan 2 microbios?
Answer:
En este problema se trata de una función exponencial, donde la cantidad de microbios en el recipiente se duplica cada minuto.
Si x representa el número de minutos transcurridos y y la cantidad de microbios en el recipiente, entonces se puede expresar la función exponencial como:
y = a * (2)^x
Donde "a" es la cantidad inicial de microbios en el recipiente, en este caso a = 1.
Después de 30 minutos, la cantidad de microbios en el recipiente es:
2^30 = 1,073,741,824
Esto significa que si se coloca un solo microbio en el recipiente, se tardará 30 minutos en llenarlo.
Si se colocan 2 microbios en el recipiente, entonces la cantidad inicial de la función exponencial es a = 2, y se busca el valor de x tal que:
2 * (2)^x = 1,073,741,824
Dividiendo ambos lados por 2, se tiene:
(2)^x = 536,870,912
Tomando logaritmos base 2 en ambos lados, se tiene:
x = log2(536,870,912) = 29
Por lo tanto, si se colocan 2 microbios en el recipiente, se tardará 29 minutos en llenarlo.
Step-by-step explanation:
Genesis is older than Dylan. Their ages are consecutive integers. Find Genesis's age if
the product of their ages is 110.
(ill give brainliest )
Answer:
Dylan is 10 years old, and Genesis is 11.
Step-by-step explanation:
If Genesis and Dylan's age are consecutive integers, and Genesis is older, we can represent their ages as:
Dylan's age: x
Genesis' age: x+1
This would mean Genesis is a year older than Dylan.
The product of their ages is 110.
We can write an equation:
x×(x+1)=110
x²+x=110 (Distribute x)
x²+x-110=0 (Move 110 to the other side)
You can solve this by the quadratic equation, by factoring or by completing the square
I'll solve it by the quadratic equation:
We must first find the coefficients a, b and c, and then plug it into the formula.
\(x = \frac{ - 1 + - \sqrt{ {1}^{2} - 4 \times 1 \times - 110} }{2 \times 1} \\ x = \frac{ - 1 + - \sqrt{1 + 440} }{2} \\ x = \frac{ - 1 + - 21}{2} \)
Since we have a ± symbol, we get 2 real solutions, x1 and x2.
x=-1±21/2
x1=-1+21/2
x1=20/2
x1=10
x2=-1-21/2
x2=-22/2
x2=-11
Since their age can't be negative, x2 can't be a solution, so Dylan's age must be 10, and Genesis' age must be 11.
Hope this helps, and let me know if you need help with another method to solve this problem!
!Can some1 help! !Help FAST!
What is the algebraic expression for the word phrase "4 times a number minus 9"?
A. 4(y-9)
B. 4y-9
C. 4(9-y)
D. 9-4y
Answer:
4y-9
Step-by-step explanation:
y is the number, 4 times the number = 4y
so 4y-9
Apply the distributive property to factor out the greatest common factor.
24+32p= _____
Answer:
8(3+4p)
Step-by-step explanation:
8 goes into 24 and 32, so it can be factored out:
\(24+32p=8(3+4p)\)
Answer:
8(3 + 4p)
Step-by-step explanation:
Factor 24 + 32p
First, factor out the GCF. In this case, the GCF is 8, and we have
8(3 + 4p)
We can't factor anymore so the answer is 8(3 + 4p)
What is the length of BD?
Answer:
D stays for 1 and as B is -6
the length of BD should be 7
good luck <3!
The quotient of twenty and a number, decreased by 4, is equal to zero
The equation associated with the quotient of twenty and a number, decreased by 4, is equal to zero is 20/x - 4 = 0 and that number will be 5.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say that number is x,
Quotients of 20 and x will be given as 20/x
20/x - 4 = 0
20/x = 4
x = 20/4 = 5
Hence"The equation associated with the quotient of twenty and a number, decreased by 4, is equal to zero is 20/x - 4 = 0 and that number will be 5".
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solve the PDE using separation of variables method Uxx = 1/2 Ut 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)
The general solution of the partial differential equation is:
U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)
How to solve Partial Differential Equations?The partial differential equation (PDE) is given as:
Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)
Assume that the solution can be written as a product of two functions:
U(x, t) = X(x)T(t)
Substituting this into the PDE, we have:
X''(x)T(t) = (1/2)X(x)T'(t)
Dividing both sides by X(x)T(t), we get:
(X''(x))/X(x) = (1/2)(T'(t))/T(t)
Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:
(X''(x))/X(x) = -λ²
(1/2)(T'(t))/T(t) = -λ²
Simplifying the second equation, we have:
T'(t)/T(t) = -2λ²
Solving the second equation, we find:
T(t) = Ce^(-2λ²t)
Applying the boundary condition U(0, t) = 0, we have:
U(0, t) = X(0)T(t) = 0
Since T(t) ≠ 0, we must have X(0) = 0.
Applying the boundary condition U(3, t) = 0, we have:
U(3, t) = X(3)T(t) = 0
Again, since T(t) ≠ 0, we must have X(3) = 0.
Therefore, we can conclude that X(x) must satisfy the following boundary value problem:
X''(x)/X(x) = -λ²
X(0) = 0
X(3) = 0
The general solution to this ordinary differential equation is given by:
X(x) = Asin(λx) + Bcos(λx)
Applying the initial condition U(x, 0) = 5*sin(4πx), we have:
U(x, 0) = X(x)T(0) = X(x)C
Comparing this with the given initial condition, we can conclude that T(0) = C = 5.
Therefore, the complete solution for U(x, t) is given by:
U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)
where:
Σ represents the summation over all values of n
λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).
To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):
X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0
X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0
From the first equation, we have Bₙ = 0.
From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.
This implies that 3λₙ = nπ, where n is an integer.
Therefore, λₙ = (nπ)/3.
Substituting the eigenvalues into the general solution, we have:
U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)
where Aₙ are the coefficients that can be determined from the initial condition.
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The 2007 BMW 335i Coupe is offered with a choice of 14 exterior colors, 5 interior colors, and 4 trims. How many combinations involving color and trim are available for the model?
Answer:
76 colors available
Step-by-step explanation:
Given
\(Exterior\ Colors = 14\)
\(Interior\ Colors = 5\)
\(Trims = 4\)
Required
Determine the possible combinations available
From the question, there is no distinction between the selection of external and internal color.
So:
\(Colors = 14 + 5\)
\(Colors = 19\)
The are 19 possible colors and 5 possible trims.
So, number of combination is answered using the following rule of product
\(Combination = Colors * Trims\)
\(Combination = 19 * 4\)
\(Combination = 76\)
A man gave 90000.00 to his two daughters Jane and Lydia, 75.00 was given to Lydia to pay her load. After sharing the money Lydia has twice as
much as Jane. How much did each received?
Jane received $30025 and Lydia received $60000. Let's assume the amount of money that Jane received as x; then Lydia's share of the money will be twice the share of Jane.
We are to find out the share of each person. Here is the solution in steps:Suppose Jane's share was x dollars, and Lydia's share was y dollars.
Given that the total amount given to the two daughters was $90000. Also, given that Lydia paid off her $75, hence she got $75 less than Jane.
Therefore, y = 2x - 75; this is because we are given that Lydia got twice the share of Jane, and also, she got $75 less than Jane. Hence, x + y = $90000, this is because the total sum of money shared is $90000.
Substituting y = 2x - 75 into x + y = $90000 gives x + (2x - 75) = $90000.
Simplifying, we have :3x = $90000 + 75 = $90075.
Dividing both sides by 3, we get:x = $30025. Hence, Jane's share is $30025 Lydia's share = 2x - 75 = 2($30025) - $75 = $60075 - $75 = $60000.
Therefore, Jane received $30025 and Lydia received $60000.
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I need help with Pre-Calc Trig
Note that the graph of the above function g(x) = -4sin(πx - π/6) + 2 is described as follows.
What are the features of the above graph?The graph of the function g(x) = -4sin(πx - π/6) + 2 exhibits periodic behavior with oscillations above and below the x-axis.
Note that it is a sinusoidal wave that has an amplitude of 4, a period of 2, and a phase shift of π/6 to the right.
The waveform reaches its maximum value of 2 and its minimum value of - 6. It represents a damped oscillation or a decaying sinusoidal function.
See the attached graph.
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6) Tyger and Newton have a long jump
competition. Tyger jumps 20% further than
Newton. If Newton jumps 475 cm, how far
does Tyger jump?
★need help solving this problem