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Harlamova29_29 [7]
3 years ago
12

Find the solution to the inequality 23(6x−3)>6?

Mathematics
1 answer:
laiz [17]3 years ago
8 0

Answer:

The answer is x>25/46

Step-by-step explanation:

Distribute 23 through the parentheses

138x-69>6

Move constant to the the right and change the sign. 138x>6+69.

Add the numbers like this: 138x>75

Divide both sides and you'll will get x>25/46 which is your answer. Let me know if this helps

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Just draw like the 2 hundredths, 4 tens, and 6 ones
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3 years ago
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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 Texas School Supply Company makes composition notebooks for students. The cost to manufacture 6 notebooks is $30. At this ra
Lina20 [59]

Answer:

Step-by-step explanation:

If it costs $30 to make 6 notebooks then that is $5 for each notebook. So multiply $5 times 50 and you get $250.

6 0
3 years ago
The base of a parallelogram is 18 inches longer than three times the height. The area of the parallelogram is 216 square inches.
nordsb [41]

Answer:

12 inches

Step-by-step explanation:

Let b represent the base

h represents the height

area of the parallelogram = base * height = 216 square inches

From the question'

b = 18 + 3h

Slot in the value of b

216 = (18 + 3h) * h

expand

216 = 18h + 3h^2

subtract 216 from both sides

0 = 18h + 3h^2 - 216

rearrange

3h^2 + 18h - 216 = 0

divide through by 3

h^2 + 6h - 72 = 0

Now, lets solve!

h^2 + 6h - 12h - 72 = 0

h( h + 6 ) - 12(h + 6) = 0

(h - 12) (h + 6) = 0

h - 12 = 0

h = 12

and

h + 6 = 0

h = - 6

Taking the positive value of h

Hence, the height is 12 inches

Lets check

when h = 12 inches

Area of the parallelogram = 18* 12 = 216 square inches     .... correct

when h = -6inches

A = 18 * -6 ≠  216 square inches

So height is 12 inches

5 0
3 years ago
A parachutist's speed during a free fall reaches 55 meters per second. What is this speed in feet per second? At this speed, how
aleksandr82 [10.1K]

Explanation:

Explanation:50 m ≅164 ft (3s.f.)

Explanation:50 m ≅164 ft (3s.f.)50 m/s≅164 ft/s

Explanation:50 m ≅164 ft (3s.f.)50 m/s≅164 ft/sdistance after 20s:

Explanation:50 m ≅164 ft (3s.f.)50 m/s≅164 ft/sdistance after 20s:d=164 ft/s ⋅20s

Explanation:50 m ≅164 ft (3s.f.)50 m/s≅164 ft/sdistance after 20s:d=164 ft/s ⋅20s=3280 ft

follow me

8 0
3 years ago
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