MATHEMATICS MIDDLE SCHOOL

Marie and Jorge are both trying to lose weight. After 3 months they compared their weight loss. Marie's weight went from 175 to 150. Jorge's weight went from 190 to 180. Which statements are true regarding their weight loss? Check all that apply1. Jorge's weight change was approximately 5%
2. Maries's weight change was approximately 14%.
3. Marie had the greater percent change
4. Jorge had the greater percent change
5. Jorge's weight change was approximately 0.5%
6. Marie's weight change was approximately 1.4%

Answers

Answer 1

Answer:

The statements are true regarding their weight loss Option 3 Marie had the greater percent change in weight.

At first, we will find that they both have how much changed in their weight.

So, Marie's change in weight $=(175-150)/(175) *100=(25)/(175)*100=14.3$

Therefore, Marie's weight change was approximately 14%.

Now, Jorge's change in weight $=(190-180)/(190) *100=(10)/(190) *100=5.3$

Therefore, Jorge's weight change was approximately 5%.

And from the above calculation, we can say that Marie had the greater percent change in weight.

What is a simple definition of weight?

Weight (symbolized w ) is a quantity representing the force exerted on a particle or object by an acceleration field, particularly the gravitational field of the Earth at the surface.

What is the unit of weight?

Therefore, the SI unit of weight can be measured in kg⋅m/s2 (kilograms times meters per second squared) which is equal to a newton (N). Since weight is the force extended by the gravitational force on a mass it is represented by formula W = m*g, where weight can be kg * m/s2 which is equal to N.

What is weight and formula?

Weight is a measure of the force of gravity pulling down on an object. It depends on the object's mass and the acceleration due to gravity, which is 9.8 m/s2 on Earth. The formula for calculating weight is F = m × 9.8 m/s2, where F is the object's weight in Newtons (N) and m is the object's mass in kilograms.

Learn more about weight, refer to:

brainly.com/question/18927138

#SPJ2

Answer 2

Answer:

Answer:

1 ,2, and 3

Step-by-step explanation:

Jorge's weight percent decrease is (190-180)÷190, or amount of change/original amount. Simplified, 10÷190=5.2637157894...%, approximately equal to 5%. The first option is correct. Marie's percent decrease is (175-150)÷175. Simplified, that is 25÷175=14.2857142857...%, which is about 14%. The second option is correct. Clearly, we can tell that Marie had the greater percent change, about 14% to about 5%. Also clearly, Jorge did not have the greater percent change, so we can tell Option 4 is wrong. We already know that Jorge's change is about 5% and Marie's is about 14%, so they can't be about 0.5% or about 1.4%. Options 5 and 6 are incorrect. The correct answers are 1, 2, and 3.

Hope this helps and it's not too long! (P.S. I got it right on Edgen.)

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A circular tabletop is to be cut from a rectangular pieceof wood that measures 1.20 m by 1.80 m.
What is the radius of the largest tabletop that could be cut?
Justify your answer. Include a sketch

Answers

The radius of the tabletop is the distance from the center to its circumference

The largest radius of the circular tabletop is 0.6 meters

The dimension of the rectangular piece of wood is given as:

Length = 1.20 m

Width = 1.80 m

From the given dimension, we have the following observation:

The length of the rectangular piece is smaller than its width.

This means that:

$\mathbf{Diameter = Length}$

Substitute 1.20 m for Length

$\mathbf{Diameter = 1.20 m}$

Divide both sides of the equation by 2 to calculate the radius

$\mathbf{\frac{Diameter}2 = (1.20 m)/(2)}$

Simplify

$\mathbf{Radius = 0.60 m}$

Hence, the largest radius of the tabletop is 0.6 meters

Answers

the answer to eight hundred and five thousandths is 8.5

It will be 0.805 so yep that will answer your question

Tonya's car averages 240 miles for each 10 gallons. How many gallons of gasoline will the car need to travel 216 miles?

Answers

240/10=24+216=240 they are equal

240 miles / 10 gallons = 24 miles per 1 gallon
24 x = 216
x=216/24
simplify = 9 gallons

Farmer Ed has 300meters of fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the river, find the length and width of the plot that will maximize the area. What is the largest area that can be enclosed?Width
Length
Largest area:

Answers

The area of the farm is the amount of space on the farm.

The width of the farm is 150 meters
The length is 75 meters
The largest area is 11250 square meters

Given

$P = 300m$ --- the perimeter

$L \to Length$

$W \to Width$

Because one side of the farm is a river, the perimeter is calculated as:

$P = 2L + W$

So, we have:

$2L + W=300$

Make W the subject

$W = 300 - 2L$

The area of the farm is:

$A = L * W$

Substitute $W = 300 - 2L$

$A = L * (300 - 2L)$

$A = 300L - 2L^2$

Differentiate, and set the result of the differentiation to 0

$A' = 300 - 4L$

$300 - 4L = 0$

Solve for L

$4L = 300$

Divide by 4

$L =75$

Solve for W

$W = 300 - 2L$

$W = 300 - 2* 75$

$W =150$

Solve for A

$A = L * W$

$A = 75 * 150$

$A = 11250$

Hence,

The width of the farm is 150 meters
The length is 75 meters
The largest area is 11250 square meters

Read more about areas and perimeters t:

brainly.com/question/11957651

Answer:

Step-by-step explanation:

Alright, lets get started.

Suppose the width is W.

Suppose the length is L.

Total fence is given as 300, so

$L+W+W=300$

$L+2W=300$ ......................(1)

$Area=Length*Width$

$Area=L*W$

Plugging the value of L from equation (1)

$Area=(300-2W)*W$

$Area=300W-2W^2$

For Area to be maximized, derivative of area should be equal to zero.

Means :

$(d)/(dW)Area= 300-4W = 0$

So, $So, W Width = (300)/(4)=75$

So, $L Length=300-2*75=150$

So, Largest area= $75*150=11250$ : Answer

PLEASE HELP ME I BEG I REALLY NEED HELP WITH THIS PROBLEM!

Answers

area = length x width

x² + 12x = l * x

A.

First, you factor x from x² + 12x

$x^(2) +12x=x(x+12)$

area = x (x+12)

area = (x+12) * x

Length = x + 12

B.

If x = 10,
l = x + 12 = 10 +12 = 22
length = 22
and
Area = x² + 12x = 10² + 12(10) = 100 + 120 = 220
area = 220

Hope this helps :)

Sorry but my question was wrong. I misspelled a word. So am resubmitting my questionHow do I find the ratio of the first number to the second and simplify?
0.4 to 1.2

Answers

Answer:

You do the first number(.4) divided by the second number(1.2) which is 1/3. Because of that you just have to put 1 on the left and 3 on the right and just stick a colon in between to get 1:3.

Step-by-step explanation:

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