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2 years ago

Solve: -(1/4)m + 5 = 16

Mathematics

2 answers:

kozerog [31]2 years ago

4 0

Answer:

M = - 44

Step-by-step explanation:

You will start by subtracting 5 on both sides of the equation.

- (1/4)m + 5 =16

-5 -5

Simplify

- 1/4 m =11

Multiple both sides by - 4

(-1/4m)(-4)= 11 (- 4)

The final result is m equals negitive 4.

M = -44

liq [111]2 years ago

3 0

Answer:

m=-44

Explanation: distribute the negative and add -1/4 to m and then take the 5 away from 16 and then multiply both sides

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A bacteria colony increases in size at a rate of 4.0581e1.6t bacteria per hour. If the initial population is 36 bacteria, find t

Harrizon [31]

Answer:

1560

Step-by-step explanation:

The rate of Increase of the population (P) of the bacteria is given as:

$\frac{dP}{dt} =4.058e^{1.6t}$

$dP =4.058e^{1.6t}}dt\\Taking\: Integrals\\\int dP =4.058 \int e^{1.6t}dt\\P(t)=\frac{4.058}{1.6} (e^{1.6t} +K)\\P(t)=2.53625 (e^{1.6t} +K)$

Where k is a constant of Integration.

At t=0, P(t)=36

$36=2.53625 (e^{1.6*0} +K)\\36=2.53625 (e^{0} +K)\\36=2.53625 (1 +K)\\36=2.53625 +2.53625K\\K=13.19$

Therefore:

$P(t)=2.53625 (e^{1.6t} +13.19)\\At \: t=4\\P(4)=2.53625 (e^{1.6*4} +13.19)\\=1559.88\\P(4)=1560$

3 0

3 years ago

A t-shirt increased in price by 1/4. After the increase it was £20. What was the original price of the t-shirt?

Licemer1 [7]

Answer:

£16

the t-shirt increased by 0.25. let's convert that to percentage

therefore it increased by 25%

By using cross multiplication we can write as follows:

125%=£20

100%=£ x

(100×20)/125= £16

8 0

2 years ago

In the diagram, the measure of angle 3 is (23x)°, and the measure of angle 4 is (7x)°.

Sophie [7]

Angles three and four are a linear pair, meaning that they they form a line. When two angles make a line, the measures add up to 180°. Adding the two values together, we see that 3x+27x=180. Simplifying and solving for x, we get 30x=180 ⇒ x=6.

The question, however, is asking for the measure of angle 4. Thus, we plug x=6 into 7x to get 6(7)=42.

Hope this helped!

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3 years ago

Read 2 more answers

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