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3 years ago

The greater of two numbers is 3 times the smaller. Their sum is 44. Find the numbers.

Mathematics

2 answers:

Andrej [43]3 years ago

3 0

Answer:

11 and 33

Step-by-step explanation:

The greater of two numbers is 3 times the smaller.

Let the numbers be

n and 3n

sum is 44

n + 3n = 44

4n = 44

Divide both sides by 4

n = 11

3n = 3 * 11

3n = 33

Anna007 [38]3 years ago

3 0

Answer:

smaller number is 11

bigger number is 33.

Step-by-step explanation:

Lets make the smaller number be a, the bigger number 3a since its 3 times a's value

the sum of a and 3a is 44

so we write

a+3a = 44

combine like terms

a+3a = 4a

4a = 44

divide both sides by 4

a = 11.

Now we know the smaller number is equal to 11, but we are not done just yet.

We have to find the value of the bigger number by plugging in 11 into our equation

11+3*11 = 44

11 + 33 = 44

which means the bigger number is 33

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A culture started with 3000 bacteria. After 4 hours, it grew to 3,600 bacteria. Predict how many bacteria will be present after

Vlad [161]

Hello Shannonrodrigue. You can solve this by setting up an exponential growth equation.

$A = A_ob^t$
$3600 = 3000b^4$

Now we solve for b
$3600 = 3000b^4$
$\frac{3600}{3000} = \frac{3000b^{4}}{3000}$
$\frac{6}{5} = b^4$
$\sqrt[4]{\frac{6}{5}} = \sqrt[4]{b^4}$
$\sqrt[4]{\frac{6}{5}} = b$

Now that we have found b, we can use the equation $A = 3000b^t$ to predict how many bacteria will be present after 10 hours.
$b = \sqrt[4]{\frac{6}{5}}$
t = 10
$A = 3000b^t$
$A = 3000\sqrt[4]{\frac{6}{5}}^{10} = 4732.3228 = 4732$

Answer = 4732

4 0

3 years ago

A person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen he sells it at Rs 80 a pair find the gain p

marusya05 [52]

Answer:

33.33%

Step-by-step explanation:

We need to calculate the <u>unit selling price and cost of each cosmetics.</u>

If a person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen., then for 1 cosmetics, we will say;

x = 1 cosmetic

since 360 = 12 cosmetic

cross multiply

12x = 360

x = 360/12

x = 30

Hence the unit cost price of the cosmetics will be Rs. 30

Similarly, if he sells it at Rs 80 a pair, then he sold one cosmetic at 80/2 = Rs. 40 (a pair is 2 cosmetics)

Selling price per unit = Rs. 40

Cost price per unit = Rs. 30

percent gain = SP-CP/CP * 100%

percent gain = 40-30/30 * 100

percent gain = 10/30 * 100

percent gain = 100/3

percent gain = 33.33%

Hence the percentage gain is 33.33%

5 0

3 years ago

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gregori [183]

Answer:

False

Step-by-step explanation:

To find the inverse of a function, switch the variables and solve for y.

The inverse of f(n)=-(n+1)^3:

$y=-(n+1)^3$

$n=-(y+1)^3$

$\sqrt[3]{n} =-(y+1)$

$\sqrt[3]{n} =-y-1$

$\sqrt[3]{n} +1=-y$ $-(\sqrt[3]{n} +1)=y$

$-\sqrt[3]{n} -1=y$

5 0

2 years ago

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How do I find the value of a in 30=5a

Sav [38]

Answer:

a = 30/5 = 6

Step-by-step explanation:

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2 years ago

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A person who is 3 m tall casts a shadow that is 6 m long. At the same time, a building

podryga [215]

Answer:

13.5 meters

Step-by-step explanation:

25 / 2 = 13.5

because if a human is 3 meters tall and cast 2 times the length of himself then if a building casts 25 meters then it should be 2 times less than its shadow.

6 0

2 years ago