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neonofarm [45]
2 years ago
5

At the beginning of a population study, a city had 360,000 people. Each year since, the population has grown by 4.3%.

Mathematics
1 answer:
dangina [55]2 years ago
6 0

Answer: y = 360,000 times t + 4.3%

Step-by-step explanation:

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Help please, tank u :)
elena-s [515]

Answer:

16 ft

Step-by-step explanation:

Let the width of the rectangle be x ft

Therefore, length = (x + 2) ft

Area of the rectangle = 15 square ft

x(x + 2) = 15 \\  \\  {x}^{2}  + 2x = 15 \\  \\  {x}^{2}  + 2x - 15 = 0 \\  \\  {x}^{2}  + 5x - 3x - 15 = 0 \\  \\ x(x + 5) - 3(x + 5) = 0 \\  \\ (x + 5)(x - 3) = 0 \\  \\ x + 5 = 0 \: or \:  \: x - 3 = 0 \\  \\ x =  - 5  \:  \: or \:  \: x = 3 \\  \\  \because \: x \: can \: not \: be \:  - ve \\  \\  \therefore \: x = 3 \\   \\  \implies \: x + 2 = 3 + 2 = 5 \\  \\ perimeter \: of \: rectngle  \\ = 2(5 + 3)  \\  = 2 \times 5 \\  = 16 \: ft

5 0
2 years ago
If i have a fish tank is 1/3 full of watet. If i add abither, 4 gallins of water it will be comoletely full. How many gallons wo
tresset_1 [31]

Answer:

1/2 gallons

Step-by-step explanation:

since 1/3of the tank is already full and another 4 gallons fills it up

4 gallons= 2/3 of the tank or the tank is 6 gallons total

75% is equal to 3/4

6*3/4=4 1/2 gallons

since it is 1/3 or 4 gallons full

4 1/2 -4= 1/2

7 0
3 years ago
How many solutions does s^2 -35=-35 have​
Alexandra [31]

Answer:

1 solution

Step-by-step explanation:

s² - 35 = -35

Add 35 to both sides: <em>s² = 0</em>

<em>s can only be 0, and 0 has no positives nor negatives</em>, so one number.

4 0
2 years ago
Read 2 more answers
The length of a rectangle is 6 in. more than the width. The perimeter of the rectangle is 24 in. Find the dimensions of the rect
klasskru [66]

1. First, let us define the width of the rectangle as w and the length as l.

2. Now, given that the length of the rectangle is 6 in. more than the width, we can write this out as:

l = w + 6

3. The formula for the perimeter of a rectangle is P = 2w + 2l. We know that the perimeter of the rectangle in the problem is 24 in. so we can rewrite this as:

24 = 2w + 2l

4. Given that we know that l = w + 6, we can substitute this into the formula for the perimeter above so that we will have only one variable to solve for. Thus:

24 = 2w + 2l

if l = w + 6, then: 24 = 2w + 2(w + 6)

24 = 2w + 2w + 12 (Expand 2(w + 6) )

24 = 4w + 12

12 = 4w (Subtract 12 from each side)

w = 12/4 (Divide each side by 4)

w = 3 in.

5. Now that we know that the width is 3 in., we can substitute this into our formula for length that we found in 2. :

l = w + 6

l = 3 + 6

l = 9 in.

6. Therefor the rectangle has a width of 3 in. and a length of 9 in.

8 0
3 years ago
Car A, traveling at a constant 10 m/s, crosses the start line 3 seconds before Car B, who is traveling at a constant 15 m/s. At
Margaret [11]
The distance between Car A and car B,When Car A crosses the start line is:
distance =speed car B* time
distance=(15 m/s)(3 s)=45 m
 
Distance traveled by car A =x,  (when the car B is at the same distance from the start line)
time of car A=t

x=10 m/st  ⇒    x=10t    (1)

Distance traveled by car B=x
time of car B=t-3

x=15(t-3)  (2)

With the equations (1) and (2) we make a system of equations:

x=10t
x=15(t-3)

We solve this system of equations:

10t=15(t-3)
10t=15t-45
-5t=-45
t=-45 / -5
t=9

t-3=9-3=6

x=10 t=10 (9)=90

Answer: The time would be 9 seconds for Car A and 6 seconds for car B and the distance would be 90 meters.
8 0
3 years ago
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