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faust18 [17]
3 years ago
5

harold was 5 years older than Mary. In 10 years he found that 4 times his age exceeded twice Mary's age by only 50. How old were

Harold and Mary in the beginning?
Mathematics
1 answer:
Ivanshal [37]3 years ago
8 0

in the beginning 

Harold X+5
Mary X

In 10 years

Harold X+5+10 X+15
Mary X+10 

4(X+15)-2(X+10)=50
4X+60-2X-20=50
2X+40=50
2X=50-40
2X=10
X= 10÷2
X=5

Harold At The Beginning 5+5=10
Mary At The Beginning 5
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The number of hours, t, that bacteria spread 10-fold can be modeled by the equation B(t) = B0(10)2t. There are 25 bacteria prese
nordsb [41]

Answer: 1.67 hours.


Explanation:


1) Function that models the number of bacteria:


B(t)=B_0(10)^{2t}


2) Bo = 25, then the function is:


B_0=25(10)^{2t}


3) To know how many hours will elpase until the number of bactaria is 55,00, you equals B to 55,500 in the equation and solve for t, in this way:


i) start

55000=25(10)^{2t)


ii) division property

2200=10^{2t}


iii) antilogarithm property

2t = log_{10}2200


iv) division property

t=\frac{log_{10}2200}{2}


v) Due the operations:


t = 1.67 hours.


Note that the time is less than 2 hours. That sounds fine since after 1 hour there will be 10 times 25 (250 bacteria), and after 2 hours 100 times 25 (2500 bacteria).

3 0
3 years ago
Supplementary angles formula?
Leno4ka [110]

Answer:

Step-by-step explanation:

for two angles x and y,

x and y are supplementary angles if they add up to 180°

i.e x + y = 180°

8 0
3 years ago
How to find the domain of a composite function
ad-work [718]

Answer:

The domain of a composite function f(g(x)) f ( g ( x ) ) is the set of those inputs x in the domain of g for which g(x) is in the domain of f .

7 0
3 years ago
At Niagra High, Mr. Borton bought 4 student tickets and 2 adult tickets for the high school musical which cost $64. then Mrs. Ge
balandron [24]

Answer:

Each student ticket costs $8.33

Each adult ticket costs $15.34

Step-by-step explanation:

At Niagra High, Mr. Borton bought 4 student tickets and 2 adult tickets for the high school musical which cost $64. then Mrs. Gelvoria bought 3 student tickets and 3 adult tickets for the show and it cost her $72. How much are each type of tickets?​

s = cost of each student ticket

a = cost of adult ticket

Our system of equations:

4s + 2a = 64

3s + 3a = 71

-3(4s + 2a = 64) ==> -12s - 6a = -192

2(3s + 3a = 71) ==>     6s + 6a = 142

-12s - 6a = -192

  6s + 6a = 142

-6s = -50

/-6      /-6

s = $8.33 (the cost of each student ticket)

Now, let's find the cost of each adult ticket:

4s + 2a = 64

4(8.33) + 2a = 64

33.32 + 2a = 64

-33.32         -33.32

2a = 30.68

/2        /2

a = 15.34 (the cost of each adult ticket)

(x, y) ==> (8.33, 15.34)

Check your answer:

4s + 2a = 64

4(8.33) + 2(15.34) = 64

33.32 + 30.68 = 64

64 = 64

This statement is true

Hope this helps!

8 0
3 years ago
Can someone please help?
Alika [10]

Answer:

A. mean 71.33, median 86, mode 90 90 100 100, range 55

B. mean 79.41, median 36.5, mode 90, range 60

c. mean 73.16, median 2, mode 75 75 80 80, range 45

Step-by-step explanation:

mean is the average so add all numbers then divide by the number of number

mode is the number that is often seen

range subtract the smallest from largest or the other way around

median the middle number when lined all number from less to biggest  

4 0
3 years ago
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