Henry and Jose are gaining weight for football. Henry weighs 205 pounds and is gaining 2 pounds per week Jose weighs 195 pounds and is gaining 3 pounds per week.

Write an equation to represent when the weights will be the same. Let w represent the number of weeks.



what would be the equation?

Answers

Answer 1

Answer:

205+2w=195+3w

Step-by-step explanation:

:)

Answer 2

The equation to represent when the weights are the same will be 3w + 195 = 2w + 205 and the number of weeks is 10.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Henry and Jose are putting on weight for football. Henry weighs 205 pounds and is acquiring 2 pounds each week Jose weighs 195 pounds and is acquiring 3 pounds each week.

Let 'w' be the number of weeks and 'y' be the total weight. Then the equations are given as,

y = 2w + 205

y = 3w + 195

If the weight becomes the same. Then the number of weeks is given as,

3w + 195 = 2w + 205

Simplify the equation, then we have

3w + 195 = 2w + 205

3w - 2w = 205 - 195

w = 10

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Related Questions

Rachel buys 1 gallon of milk. Her sister Abby uses 15 quarts of the milk in a recipe. Then her mother
uses 3 cups of the milk in a different recipe
Select all of the true statements below
O A Rachel's mother uses more milk than her sister Abby uses
B. There are 56 fluid Ounces of milk left
C. There are 9 cups of milk left
D. There is more than gallon of milk lett,
O E There is more than 5 gallon of milk left,

Answers

Answer:

Option B

Step-by-step explanation:

Harry read 1/3 of a book on Saturday and three force of the remainder on Sunday. If he still had 75 pages left how many pages were in the book?

Answers

900

You work backwards;
Since he read 3/4 of the remainder that would be 75 x 4 because 75 was left after 3/4. You would get 300. Then, you would do 300 / (1/3), this is getting the final thing, equals 900.
Hope this helps!

Hey , can you help me with this math equation ?

Answers

You have to show the equation

6x+3y=13 find the value

Answers

6x+3y=13

6x+3y-13=13--13

6x+3y-13=0

Show all work to multiply
(3+ square root -16) (5 – square root -25)

Answers

[tex]\left(3+\sqrt{-16} \right) \left(5-\sqrt{-25} \right)\\\\=\left(3+\sqrt{-1} \cdot \sqrt{16} \right) \left(5- \sqrt{-1} \cdot \sqrt{25} \right)\\\\=(3+4i)(5-5i)~~~~~~~~~~~~~~;\left[i=\sqrt{-1} \right]\\\\=15-15i + 20i - 20i^2\\\\=15+5i -20(-1)~~~~~~~~~~~~;[i^2 =-1]\\\\=15+5i +20\\\\=35+5i[/tex]

HELP

HOW AM I MEANT TO ANSWER THIS QUESTION I WOULD ASO LIKE ANSWER.

THX

100 points on the line

Answers

Answer:

x = 7 & y = 8

Step-by-step explanation:

We know that

Mean = Sum of terms/Total terms

=> Mean = 4 + 6 + x + y + 10/5

=> Mean = 20 + x + y/5

Now,

Median = (n + 1)/2

=> Median = (5 + 1)/2

=> Median = 6/3

=> Median = 3rd term = x

So,

x = 20 + x + y/5

x × 5 = 20 + x + y

5x = 20 + x + y

5x - x = 20 + y

4x = 20 + y

Since x and y are in order so,

Possible outcomes will be 7,8 & 9

(7,8) & (8,9) & (7,9)

Taking x = 7 and y = 8

4(7) = 20 + 8

28 = 28

Hence,

x = 7 and y = 8

Answer:

y=7 x=8

Step-by-step explanation: hope you do well in school

What is the measurement of ADB?
A. 90
B. 95
C. 105
D. 145

Answers

Answer:

C)105

Step-by-step explanation:

sizde benim sorduğum soruları cevaplarsanız sevinirim doğru ve hızlı bir şekilde

is a half of a teaspoon more than a fourth of a teaspoon ​

Answers

Answer:

Half of a teaspoon is more than a fourth of a teaspoon

Step-by-step explanation:

1/2 is greater than 1/4

yes!
1/2 > 1/4
1/2 can be written as 2/4
2/4 is still more than 1/4, just changed it so both can have same denominators

The gas tank on a car holds 13.3 gallons. If the car goes 199.5 miles on a single tank, how many miles per gallon does the car get?

Answers

Answer:

292.6

Step-by-step explanation:

What's does A equal?​

Answers

Answer:

x = 65

Step-by-step explanation:

2x + 2(2x-15) = 360

2x + 4x - 30 = 360

6x = 390

x = 65

I need help solving this problem

Solve for X

Answers

Answer:

x = -7

Step-by-step explanation:

The 2 horizontal lines are parallel as given ion the problem.

The x + 97 angle is congruent to the right angle.

x + 97 = 90

x = -7

Listen
ol
Figure B is a scale image of Figure A, as shown.
2.5
Figure A
Figure B
Enter the scale factor applied to Figure A to produce Figure B.
Enter your answer as a fraction, like this. 42/53

Answers

Answer:

scale factor = [tex]\frac{14}{5}[/tex]

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original.

scale factor = [tex]\frac{7}{2.5}[/tex] = [tex]\frac{7(2)}{2.5(2)}[/tex] = [tex]\frac{14}{5}[/tex]

16,40 and 56 LCM
Solve please

Answers

Answer:

pic?

Step-by-step explanation:

send me the picture please

Is the point (-2,5) a solution to the inequality y is greater than or equal to 5x+ 7​

Answers

Answer:

Yes, it is a possible solution for Y >/= 5x+7

Step-by-step explanation:

You plug in the values (x,y) ie (-2,5):

5(-2)+7=-3

-3<5 so -3 is less than 5.

Thus, Y is greater than 5x+7 at (-2,5).

Should I write the answer as decimal or a whole number

Answers

Maybe write the answer as a Decimal, sorry if that’s wrong ?
Maybe it should make sense as a decimal?

Is (9, –6) a solution to this system of inequalities?

17x + 12y > 19
10x + 5y > –13

Answers

Answer:

Yes

Step-by-step explanation:

( 9 , -6 )

17(9) + 12(-6) > 19

153 + (-72) > 19

81 > 19

10(9) + 5(-6) > -13

90 + (-30) > -13

60 > -13

Hi need help for this maths question

Answers

a) If f(y) is a probability density function, then both f(y) ≥ 0 for all y in its support, and the integral of f(y) over its entire support should be 1. eˣ > 0 for all real x, so the first condition is met. We have

[tex]\displaystyle \int_{-\infty}^\infty f(y) \, dy = \frac14 \int_0^\infty e^{-\frac y4} \, dy = -\left(\lim_{y\to\infty}e^{-\frac y4} - e^0\right) = \boxed{1}[/tex]

so both conditions are met and f(y) is indeed a PDF.

b) The probability P(Y > 4) is given by the integral,

[tex]\displaystyle \int_{-\infty}^4 f(y) \, dy = \frac14 \int_0^4 e^{-\frac y4} \, dy = -\left(e^{-1} - e^0\right) = \frac{e - 1}{e} \approx \boxed{0.632}[/tex]

c) The mean is given by the integral,

[tex]\displaystyle \int_{-\infty}^\infty y f(y) \, dy = \frac14 \int_0^\infty y e^{-\frac y4} \, dy[/tex]

Integrate by parts, with

[tex]u = y \implies du = dy[/tex]

[tex]dv = e^{-\frac y4} \, dy \implies v = -4 e^{-\frac y4}[/tex]

Then

[tex]\displaystyle \int_{-\infty}^\infty y f(y) \, dy = \frac14 \left(\left(\lim_{y\to\infty}\left(-4y e^{-\frac y4}\right) - \left(-4\cdot0\cdot e^0\right)\right) + 4 \int_0^\infty e^{-\frac y4} \, dy\right)[/tex]

[tex]\displaystyle \cdots = \int_0^\infty e^{-\frac y4} \, dy[/tex]

[tex]\displaystyle \cdots = -4 \left(\lim_{y\to\infty} e^{-\frac y4} - e^0\right) = \boxed{4}[/tex]

A rectangle has a perimeter of 270cm and its length is 2½cm times its width find its width​

Answers

Answer:

Step-by-step explanation:

If you mean length is 2½ times its width not "2½cm times its width"

      2(L + W) = 270

2(2.5W + W) = 270

      2(3.5W) = 270

              7W = 270

                W = 38.5714285714...

                W ≈ 38.57 cm

Answer:

Width = 38. 57 cm

Step-by-step explanation:

The perimeter of a Rectangle = 270 cm

Now,

Let's take x to be the width.

Length = 2½ = 5x/2

According to the formula,

The perimeter of a rectangle = 2 ( l + w )

270 = 2 ( 5x/2 + x )

270 = 5x + 2x

270 = 7x

x = 270/7

x = 38. 57 cm.

• The width of a rectangle is 38.57 cm

(3v^5-34v^4+79v^3+5v^2+21v+19)\(v-8)

Answers

Answer:

3 big guys

Step-by-step explanation:

Answer:

Step-by-step explanation:

we find by synthetic division.

v-8=0

v=8

8 |  3  -34   79   5   21   19

  |  -     24  -80 -8  -24 -24

  |----------------------------------

     3   -10    -1   -3    -3  |-5

Quotient:-3v^4-10v³-v²-3v-3

Remainder:- -5

Which TWO identify the same sequence?


A) f(x) = 6x + 4 for x = {1, 2, 3, ...}


B) f(x) = 10x + 4 for x = {1, 2, 3, ...}


C) a1 = 6 and an + 1 = an + 4 for n = {1, 2, 3, ...}


D) a1 = 10 and an + 1 = an + 4 for n = {1, 2, 3, ...}


E) a1 = 10 and an + 1 = an + 6 for n = {1, 2, 3, ...}

Answers

A and E are equivalent sequences

The sequences A and E are the same sequences.

What is Sequence?

Sequences are set of numbers where the numbers are arranged in a specific order. Some of the common types of sequences are Arithmetic sequences and Geometric sequences.

A) f(x) = 6x + 4 for x = {1, 2, 3, ....}

f(1) = 10, f(2) = 16, f(3) = 22, ....

B) f(x) = 10x + 4 for x = {1, 2, 3, ...}

f(1) = 14, f(2) = 24, f(3) = 34, ....

C) a₁ = 6 and aₙ₊₁ = aₙ + 4 for n = {1, 2, 3, ...}

a₁ = 6, a₂ = a₁ + 4 = 10, a₃ = a₂ + 4 = 14, ....

D) a₁ = 10 and aₙ₊₁ = aₙ + 4 for n = {1, 2, 3, ...}

a₁ = 10, a₂ = a₁ + 4 = 14, a₃ = a₂ + 4 = 18, .....

E) a₁ = 10 and aₙ₊₁ = aₙ + 6 for n = {1, 2, 3, ...}

a₁ = 10, a₂ = a₁ + 6 = 16, a₃ = a₂ + 1 = 22, ....

A and E are the same sequences with a common difference 6 and the first term 10.

Hence A and E have the same sequence 10, 16, 22, .....

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Last year's computer models are discounted 20%. What was the original price to the nearest dollar of a computer that now costs $1,480?​

Answers

Answer:

$1850

Step-by-step explanation:

If the Original price was $ X , Then

[tex]x - 0.20x \: = 1480[/tex]

[tex]0.8x = 1480[/tex]

[tex]x = 1480 \div 0.8[/tex]

So , X = 1850 dollars .

Hope this helps you !!!

I'm not sure if this is correct, but I got this

Last year’s computer models are discounted 20%. If a computer is on sale for $1,480, what is the original price of the computer rounded to the nearest dollar?

20% = 0.2

1,480 x 0.2 = 296

1,480 + 296 = 1,776

Answer: 1,776

Again, I don't know if this is correct, so don't be 100% sure with my response.

The perimeter of a rectangular field is 314 m.
If the width of the field is 72 m, what is its length?

Answers

Answer:

85m

Step-by-step explanation:

Perimeter of a rectangle = 2(l+b)

b=72m, l=?

perimeter =314m

314=2(l+72)

314/2= l+72

157=l+72

l=157-72

l=85m

Define the following sequence recursively: 96, 48, 24, 12, ....
Select one:
a. f(1)=12 f(n−1)=2⋅f(n) n≥2
b. f(1)=12 f(n−1)=−12⋅f(n) n≥2
c. f(1)=96 f(n)=12⋅f(n−1) n≥2
d. f(1)=96 f(n)=2⋅f(n−1) n≥2

Answers

Answer:

I do not see that any of your options will work.

Step-by-step explanation:

a) and b) have a false first statement because f(1) = 96, not 12

c) would create the sequence 96, 1152, 13824

d.) would create the sequence 96, 192, 384. 768...

I believe the correct answer would be

f(1) = 96     f(n) = ½f(n-1)  n ≥ 2

which could be either c) or d) if taking potential typographic errors into account. Recording a "2" or "12" where a "½" ought to be.

y = x^2+5x-3
y-x=2

What is the solution of the linear-quadratic system of equations

Answers

Answer:

(-5,-3)

(1,3)

Step-by-step explanation:

Solving with substitution

Set both equations to y =  ...

y = x^2 + 5x - 3

----------------

y - x =2

y = x + 2

----------------

Substitute one of the Y's with the other Y = equation.

x + 2 = x ^2 + 5x -3

Set one side to 0

0 = x^2 + 4x -5

x^2 + 4x - 5 = 0

Simplify by factoring

(x-1) (x+5)

Get your X values

x-1 = 0

x = 1

x+5 = 0

x = -5

Plug in each X into one of the equations to get your Y value.

1st X

y = x + 2

y = 1 + 2

y = 3

When X = 1, Y = 3

2nd X

y = x + 2

y = -5 + 2

y = -3

When X = - 5, Y = -3

Your answers are (1,3) and (-5,-3)

Which of the following expressions has a "x" term with a coefficient of 1?

Answers

The answer is the second one, that expression has an "x" term with a coefficient of +1 (not any other terms such as x^2, they want an x term with an exponent of 1, as x is also known as x^1).

An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is B.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression that has a "x" term with a coefficient of 1 is the expression that has positive one in from of the term that has x in the expression.

Now, If all the options are observed, then it can be found that the second option has x term with leading coefficient as 1.

Hence, the correct option is B.

Learn more about Expression here:

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A
3
-2
-1
0
2
3
4
В.
The midpoint of AB = ([?],[ ])
Enter

Answers

Step-by-step explanation:

hope it will help you and please mark the answer as brillant please.

Lena bought 40 tickets to use at a carnival. She used some of the tickets to ride the bumper cars and play some games. Now she has 24 tickets left. What is the percent of decrease in the number of tickets that he has?

a. 66.6
b. 40
c. 60
d. 80

Answers

Answer:

40

Step-by-step explanation:

that's how it is done hope it will help

Linda deposits $90,000 into an account that pays 6% interest per year, compounded annually.
Bob deposits $90,000 into an account that also pays 6% per year. But it is simple interest.
Find the interest Linda and Bob earn during each of the first three years.
Then decide who earns more interest for each year.
Assume there are no withdrawals and no additional deposits.

Answers

Answer: Linda earns more interest

Step-by-step explanation:

Linda: 90000 x 1.06^3 -90000 = 17191.44

Bob: (90000 x 1.06 - 90000) x 3 = 16200

17191.44 > 16200

Points​ E, D, and H are the midpoints of the sides of ΔTUV. UV​=82, TV=106​, and HD= 82. Find HE.

Answers

Answer:

41

Step-by-step explanation:

53/106 = x/82 similar triangles

x=41

What is the third number in this sequence?

Answers

Step-by-step explanation:

x = the first number of the sequence

x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) = 519

6x + 1 + 2 + 3 + 4 + 5 = 519

6x = 504

x = 84

so, the third number is x+2 = 84 + 2 = 86

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