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4 years ago

Find the sum and write it in lowest terms 2 3/4+3 1/8

Mathematics

1 answer:

JulijaS [17]4 years ago

3 0

2 3/4 that is at least the shortest term

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Researchers recorded that a certain bacteria population declined from 110,000 to 400 in 30 hours. At this rate of decay, how man

Arlecino [84]

Answer:

3137

Step-by-step explanation:

The decay factor is 400/110,000 = 1/275 in 30 hours. Assuming an exponential decay, the equation for the number remaining can be ...

n(t) = 110,000·(1/275)^(t/30)

Then after 19 hours, the number remaining is ...

n(19) = 110,000·(1/275)^(19/30) ≈ 3137

There will be about 3137 bacteria after 19 hours.

6 0

3 years ago

Find the perimeter of the given triangle

trasher [3.6K]

Here it is given that the triangles ABP and DCR are similars, therefore we use the ratio rule which states that

corresponding sides of similar triangles are in same proprtion .

$\frac{AB}{DC} = \frac{BP}{CR}$

that gives

7/10 = BP/11

7*11=10BP

BP=7.7

Again using the ratio rule

$\frac{AB}{DC} = \frac{AP}{DR}$

7/10 = AP/6

42 = 10AP

AP = 4.2

Perimeter= AB+BP+AP = 7+7.7+4.2 = 18.9

Correct option is A.

8 0

3 years ago

Eight times the reciprocal of a number equals 4 times the reciprocal of 8. find the number

Burka [1]

8*(1/x) = 4*(1/8)
8/x = 4/8
64 = 4x
x = 16

4 0

3 years ago

The body of a 154 pound person contains approximately 2 x 10^-1 milligrams of gold and 6 x 10^1 milligrams of aluminum. Based on

KengaRu [80]

let a be aluminum and g be gold and k how many times:

2*10⁻¹mg a+ 6*10¹mg g= 154 lb

so a=kg

k=a/g

k=2*10⁻¹/6*10=1/300

a=1/300g

so Aluminum is 1/300 of gold.

3 0

2 years ago

Multiply the polynomial 3x2+4x+4)(2x-4)

Lorico [155]

Answer:

$\large \boxed{6x^{3} - 4x^{2} - 8x -16}$

Step-by-step explanation:

(3x² + 4x + 4)(2x - 4)

The easiest method is probably to use long multiplication.

3x² + 4x + 4

6x³ + 8x² + 8x

6x³ - 4x² - 8x -16

$\text{The product of the polynomials is $\large \boxed{\mathbf{6x^{3} - 4x^{2} - 8x -16}}$}$

8 0

4 years ago

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