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3 years ago

3(x – 4) + 7 = 5x? Help please.

Mathematics

2 answers:

777dan777 [17]3 years ago

8 0

Answer:

-5/2

Step-by-step explanation:

Let's solve your equation step-by-step.

3(x−4)+7=5x

Step 1: Simplify both sides of the equation.

3(x−4)+7=5x

(3)(x)+(3)(−4)+7=5x(Distribute)

3x+−12+7=5x

(3x)+(−12+7)=5x(Combine Like Terms)

3x+−5=5x

3x−5=5x

Step 2: Subtract 5x from both sides.

3x−5−5x=5x−5x

−2x−5=0

Step 3: Add 5 to both sides.

−2x−5+5=0+5

−2x=5

Step 4: Divide both sides by -2.

-2x/2 = -5/2

x= -5/2

dexar [7]3 years ago

3 0

Answer:

x=-2.5

Step-by-step explanation:

3x-12+7=5x

-5=2x

-2.5=x

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Step-by-step explanation:

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3 years ago

A town has 5000 people in year t = 0. Calculate how long it takes for the population P to double once, twice, and three times, a

UNO [17]

Answer:

Step-by-step explanation:

At the time t = 0, population of the town = 5000

Rate of population increase = 500 per year

Therefore, the equation that will represent the population will be

$P_{t}=P_{0}+500t$

Where $P_{t}$ = Population after t years

$P_{0}$ = Initial population

t = Time in years

a). For double once the population will be 500×2 = 10000

By plugging in the values in the equation,

10000 = 5000 + 500t

500t = 10000 - 5000

500t = 5000

t = $\frac{5000}{500}$

t = 10 years

For Double twice,

Population will be = 10000×2 = 20000

Now we plug in the values in the equation again

20000 = 5000 + 500t

500t = 20000 - 5000

500t = 15000

t = $\frac{15000}{500}$

t = 30 years

For double thrice,

Population of the town = 20000×2 = 40000

Now we plug in the values in the equation,

40000 = 5000 + 500t

500t = 40000 - 5000

500t = 35000

t = $\frac{35000}{500}$

t = 70 years

b). If the population growth is 5%.

Then the growth will be exponential represented by

$T_{n}=T_{0}(1+\frac{r}{100})^{t}$

$T_{n}$ = Population after t years

$T_{0}$ = Initial population

t = time in years

For double once,

Population after t years = 10000

$10000=5000(1+\frac{5}{100})^{t}$

$(1.05)^{t}=\frac{10000}{5000}$

$(1.05)^{t}=2$

Take log on both the sides

$log(1.05)^{t}=log2$

tlog(1.05) = log2

t = $\frac{log2}{log1.05}$

t = 14.20 years

For double twice,

Population after t years = 20000

$20000=5000(1+\frac{5}{100})^{t}$

$(1.05)^{t}=\frac{20000}{5000}$

$(1.05)^{t}=4$

Take log on both the sides

$log(1.05)^{t}=log4$

tlog(1.05) = log4

t = $\frac{log4}{log1.05}$

t = 28.413 years

For double thrice

Population after t years = 40000

$40000=5000(1+\frac{5}{100})^{t}$

$(1.05)^{t}=\frac{40000}{5000}$

$(1.05)^{t}=8$

Take log on both the sides

$log(1.05)^{t}=log8$

tlog(1.05) = log8

t = $\frac{log8}{log1.05}$

t = 42.620 years

4 0

3 years ago

Suppose that you draw 3 cards without replacement from a 52 card deck.

Andru [333]

Answer:

0.000181

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

If someone helps me with all of them i will mark them as brainliest

Harlamova29_29 [7]

Answer:

Step-by-step explanation:

1. (a) 24 X 3/4= 18 multiplication

you have to multiply to get a smaller answer since you are using a fraction.

2. (a) 24 / (-3/4)= -32 division

you have to divide to get a bigger number than started since you are using a fraction

3. (A) 12-15= -3 subtraction

when you subtract a bigger number than the first number you end up normally with a negative number

4. (a) 12 -(-15) subtraction

when you subtract with a negative number you distribute so the two negatives cancel out and it become an addition sign. (if you look at it the two negatives and the parenthesis looks like an addition sign (+)

5. (A) -18 / (-3/4) =24 division

when you divide two negative values you will always get a positive answer. And again dividing a fraction will get you a bigger answer.

8 0

3 years ago

Calculate the slope of the line on the graph

Tamiku [17]

Answer:

3.5 (meters per second)

Step-by-step explanation:

To calculate the slope, we need two points. Let's see if we can select two points from the graph.

From the graph, we can pick out two possible points.

At the beginning, (0,2.5) is a valid candidate.

And at the end, with (5,20). Thus, let's use the slope formula to calculate the slope.

The slope formula is:

$m=\frac{y_2-y_1}{x_2-x_1}$

Let (0,2.5) be x₁ and y₁ and let (5,20) be x₂ and y₂. Thus:

$m=\frac{20-2.5}{5-0}$

Simplify:

$m=\frac{17.5}{5}\\ m=3.5$

Thus, the slope is 3.5 meters per second.

Further notes:

And the entire equation will be:

$m=3.5s+2.5$

3 0

3 years ago