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Gelneren [198K]
3 years ago
6

Homer Simpson weighs 400 pounds. He is on a diet to lose 5 pounds each week Barney weighs 322 pounds. he is on a diet to lose 3

pounds each week. How long will it take for them to weigh the same? write an equation and solve.
Mathematics
1 answer:
Triss [41]3 years ago
3 0
400 + (n-1) (-5) = 322 + (n-1) (-3)
-5n + 5 = 322 
-3n + 3    | 405 - 5n
               =325 - 3n
80=2n
n=40            n - 1 = 39    

 Answer = 39 , 39 weeks until they weigh the same
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Someone help me, please
vredina [299]

Answer:

A) W'(-3,-2)  X'(-1,-5)  Y'(0,-4)

B) 2) Perpendicular angles

    4) Given

    5) AT = BT

    6) Statement : OT = OT

        Reason : common side in both the triangles

    8) By RHS congruency test

Step-by-step explanation:

A) <em>The given coordinates are (2,0) (4,3) and (5,2).</em>

<em>The transformation is (x,y) -> (x,-y) -> (x-5,y-2)</em>

For above all points;

(2,0) -> (2,0) -> (2-5,0-2) -> (-3,-2)

(4,3) -> (4,-3) -> (4-5,(-3)-2) -> (-1,-5)

(5,2) -> (5,-2) -> (5-5,(-2)-2) -> (0,-4)

Thus, the transformed points are;

W'(-3,-2)  X'(-1,-5)  Y'(0,-4)

B)<em> 2) It given that OT is perpendicular to AB, thus both </em><em>∠BTO and ∠ATO are      equal to 90 degrees.</em>

<em>4) The above statement is given.</em>

<em>5) The reason is T is midpoint, this means statement is regarding lengths of AT and BT.</em>

<em>Since T is midpoint, </em><em>AT = BT</em>

<em>6) The side </em><em>OT is contained in both the triangles.</em>

<em>8) Since one right angle is equal, Both lengths are equal and one side is common, the above two triangles are congruent by </em><em>RHS congruency test.</em>

4 0
3 years ago
A gold coin appreciated in value from $200.00 to $475.00 in 6 years. Find the yearly rate of appreciation. Show or explain all w
Travka [436]

Answer:

16%

Step-by-step explanation:

To solve this we are using the standard growth equation:

y=a(1+b)^x

Were

y is the final value after x years

a is the initial value

b is the growth factor (yearly rate of appreciation in our case) in decimal form

x is the time in years

We know from our problem that gold coin appreciated in value from $200.00 to $475.00 in 6 years, so y=475, a=200, and x=6.

Let's replace the values in our equation and solve for b:

y=a(1+b)^x

475=200(1+b)^6

\frac{475}{200} =(1+b)^6

2.375=(1+b)^6

\sqrt[6]{2.375} =\sqrt[6]{(1+b)^6}

1+b=\sqrt[6]{2.375}

b=\sqrt[6]{2.375}-1

b=0.155

which rounds to

b=0.16

Since our appreciation rate is in decimal form, we need to multiply it by 100% to express it as percentage:

0.16*100% = 16%

We can conclude that the yearly appreciation rate of our gold coin is approximately 16%

3 0
3 years ago
Find the mean of the numbers<br> 1, -3, -10<br> -15, 4, -22<br> -7.5, 3, -6.5
Travka [436]

Answer:

13. -4 14. -11 15. -\frac{11}{3}

Step-by-step explanation:

13. (1-3-10)/3

14. (-15+4-22)/3

15. (-7.5+3-6.5)/3

5 0
3 years ago
Read 2 more answers
The probability that a farmer is in debt is 0.700. The probability that a farmer is in debt and also lives in the Midwest is 0.2
bogdanovich [222]

Answer:

0.4

Step-by-step explanation:

Given that:

P(debt) = P(D) = Probability of being in debt = 0.7

P(debt n Midwest) = P(Dn M) = probability of being in debt and lives in Midwest = 0.280

The probability that a randomly selected farmer lives in the Midwest given that he is in debt is?

P(M | D) = p(D n M) / p(D)

P(M | D) = 0.280 / 0.7

P(M | D) = 0.4

5 0
3 years ago
Suppose there is a pile of​ quarters, dimes, and pennies with a total value of ​​$1.08
WINSTONCH [101]

Answer:

a)

if 1 quarter = $ 0.25

  1 dime = $ 0.10

  1 penny = $ 0.01

so to make the total of $1.08 and its is also required to calculate the number of each coins present without being able to make change for a dollar

therefore we say;

1 Quarter + 8 dimes + 3 penny

: ( 1 × 0.25 ) + ( 8 × 0.10 ) + ( 3 × 0.01 )

: 0.25 + 0.80 + 0.03 = $ 1.08

b)

Now if you have a 4 Quarters, you have change for $1.

If you have 5 dimes, you have change for 2 Quarters.

If you have nickel; one of those can combine with 2 dimes to have a change for a Quarter.

If you have 5 pennies, you have enough change for 1 nickel

Therefore

(4-1)×0.25 + (5-1)×0.1 + (0×0.05) + (5-1)×0.01 = x

(3 × 0.25) + ( 4 × 0.1) + 0 + ( 4 × 0.01) = x

x = 0.75 + 0.4 + 0.04

x = $ 1.19

PROVED

6 0
3 years ago
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