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Vadim26 [7]
3 years ago
7

how can the number 39 be divided into two parts in order that the sum of 2 upon 3 of one part and 3 upon 4 of the other part is

28
Mathematics
1 answer:
vfiekz [6]3 years ago
3 0

Answer:

The two numbers are 15 and 24

Step-by-step explanation:

Let us assume the two parts be x and y

So according to the question

x + y = 39

(2 ÷ 3) x + (3 ÷ 4)y = 28

or

8x + 9y = 28 × 12

8x + 9 × (39 - x) = 336

-x = 336 - 351

x = 15

And, y = 39 - 15

= 24

Hence, the x and y is 15 and 24 respectively

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On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming these flowers rapid
Elza [17]

Answer:

L(t)=7600e^{0.2273t}

Step-by-step explanation:

-The locust population grows by a factor and can therefore be modeled by an exponential function of the form:

P=P_oe^{rt}

Where:

  • P is the population after t days.
  • P_o is the initial population given as 7600
  • r is the rate of growth
  • t is time in days

-Given that the growth is by a factor of 5( equivalent to 500%), the r value will be 5

-The population increases by a factor of 5 every 22 days. therefore at any time instance, t will be divided by 22 to get the effective time for calculations.

Hence, the exponential growth function will be expressed as:

P=P_oe^{rt},\ \ \ P=L(t)\\\\\therefore L(t)=7600e^{5\frac{t}{22}}\\\\=7600e^{0.2273t}

7 0
3 years ago
The range of y=√x-5-1 is​
Lady_Fox [76]

Answer:

[-1, ∞ )

Step-by-step explanation:

The use of parentheses is essential here.  I am assuming that you meant:

y=√(x-5) - 1

Note that √(x-5) has the range [0, ∞ ).  The domain is [5, ∞ ).

Thus, y=√(x-5) - 1 has the range [-1, ∞ )

6 0
3 years ago
Read 2 more answers
wich of the following choices describe the conversion ratio you would use to convert miles to yards check all that apply
Luda [366]
You could do:

1 mile : 1,760 yards.

So, you would multiply 1790 times 2 and get 3520. The closest thing to 4500 yards is 3520.

So you get 2 miles and 980 yards.
5 0
4 years ago
How much would $200
sveta [45]

Answer:

Not very sure, I think it would be $150, sorry if wrong

Step-by-step explanation:

7 0
3 years ago
<5 and <6 are complementary angles m<5=13 what is the measure of <6
Fiesta28 [93]
The measure of angle 6 can be found by subtracting the measure of angle 13 from 90.

90-13 = 77
6 0
3 years ago
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