Mr. Thompson is on a diet. He currently weighs 260 pounds and he loses 4 pounds per month. Write a linear model that represents Mr. Thompson's weight after 'm' months.

Answers

Answer 1
Answer: i think then answer is 260-4m=(whatever the weight is after)

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There are three consecutive numbers such that twice the first is 20 more than the second.find the numbers? Show your solution.
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Solve using elimination, 2x+5y=2   3x-5y=53

Two lines have given equations. At what point do they intersect? 2x-y=1 3x=y-6

Answers

2x-y=1 and 3x=y-6,
y=2x-1 and y=3x+6,
y=2x-1 and 2x-1=3x+6,
y=2x-1 and 3x-2x=-1-6,
x=-7 and y=-14-1
x=-7 and y=-15

check:
for x=-7 and y=-15:
2x-y=1 is -14-(-15)=1 is 1=1 ok
3x=y-6 is -21=-15-6 is -21=-21 ok

answer:
lines intersect at (-7;-15)










Which is the best approximation for the measure of angle EGF? 32.8° 40.2° 49.8° 57.2°

Answers

Angle EGF = x

Sin x = 12/18.6

Sinx ≈ 0.6452

x ≈ Sin⁻¹(0.6452).      Use a calculator.

x ≈ 40.18°

x ≈ 40.2°

Second option.

The measure of the angle x is 40.2 degrees after applying the sin ratio option second 40.2° is correct.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a right-angle triangle shown in the picture.

From the sin ratio:

sinx = side opposite to angle/hypotenuse

sinx = 12/18.6 = 0.645

x = sin⁻¹(0.645)

x = 40.17≈ = 40.2 degrees

Thus, the measure of the angle x is 40.2 degrees after applying the sin ratio option second 40.2° is correct.

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James works as a waiter.Bills where $23.59,$40.65,$30.50 And $15.68His total tips was $17.67. What percent tip did he recieve for serving these meals. Round to nearest percent.

Answers

The percentage of the tip is 16%. This is computed by summing up all the bills, 23.59 + 40.65 + 30.50 + 15.68, which is equal to $110.42. Then $17.67 will be divided by $110.42, which is equal to 0.16000. After than to get the percentage we have to divide the 0.1600 by 100, which is equal to 16%.

2. Solve for x. SHOW YOUR WORK.

Answers

Answer:

x=9

Step-by-step explanation:

The two labelled angles are equal, so we can construct an equation. Then, we solve the equation for x.

4x+2=7x-25\n2=3x-25\n3x=27\nx=9

First, we subtract 4x from both sides. Next, we add 25 to both sides. Finally, we divide both sides by 3.

Point R is the midpoint of line segment XY. If XR=3n+1 and YR=16-2n, what is the length of line segment XY?Please explain your work.

Answers

1) 3n+1=16-2n - add 2n to both sides - you should now be left with 5n+1=16 (remember the 2n gets canceled out) - subtract 1 from both sides - you should now be left with 5n=15 - now you divide by 5 to get n by itself - 15 divided by 5 is 3 - n=3 2) substitute n with 3 in to the original equation - so 3n+1=16-2n now becomes 3(5)+1=16-2(3) - you should get 10 for both so 10=10 3) according to the segment addition postualte , XR + YR = XY. - add 10+10 which stands for the lengths of XR and YR Answer - XY = 20

Two classes have a total of 50 students. One of the classes has 6 more students than the other. How many students are in the larger class.

Answers

Let's say 'x' to number of the students in the smaller class. Since the larger one is 6 more than the smaller one, its number would be 'x+6'. So their sum is equal to 

x+x+6=2x+6 and we know total is 50 so:
2x+6=50\n 2x=50-6\n 2x=44\n x=\frac { 44 }{ 2 } \n x=22 

x is 22 so the larger number 'x+6' is equal to : x+6=22+6=28

There are 28 students in the larger class.

Let's assume the number of students in one class is x.

Since the other class has 6 more students, the number of students in the other class is x + 6.

The total number of students in both classes is 50.

Therefore, we can write the equation:

x + (x + 6) = 50

2x + 6 = 50

Subtracting 6 from both sides:

2x = 44

Dividing both sides by 2:

x = 22

So, the number of students in the larger class, which is x + 6, is:

22 + 6 = 28

Therefore, there are 28 students in the larger class.

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