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3 years ago

The sum of two numbers is 24. One is 6 less than twice the other. Find the two numbers.

Mathematics

1 answer:

Fynjy0 [20]3 years ago

6 0

Answer:

$\huge\boxed{\sf x = 14 , y = 10}$

Step-by-step explanation:

Let the two numbers be x and y

<u>Condition # 1:</u>

<u>Condition # 2:</u>

$\rule[225]{225}{2}$

Putting Equation # 2 in Equation # 1

2y - 6 + y = 24

3y - 6 = 24

Adding 6 to both sides

3y = 24 + 6

3y = 30

Dividing both sides by 3

y = 10

$\rule[225]{225}{2}$

Putting y = 10 in Equation # 2

x = 2y - 6

x = 2(10) - 6

x = 20 - 6

x = 14

$\rule[225]{225}{2}$

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Answer:

3/20 or 0.15 or 15%

Step-by-step explanation:

Since 3 red marbles were drawn out of 20 outcomes, the probability the next marble will be red is 3/20. If you convert it to a decimal it will be 0.15, and if you convert it to a percent it will be 15%.

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2 years ago

Which of the binomials below is a factor of this trinomial 4x^2-4x-120

tatyana61 [14]

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2 years ago

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The population (in millions) of a certain country t years after 1900 is given by the function p(t). There were 420 million in 19

gladu [14]

Answer:469 million

Step-by-step explanation:

Given

The population of a country at t=1900 is 420 million

and P'(t) is a constant therefore P(t) is a linear function of time

assuming P(t)=7t +c

at t=0 i.e. 1900 at starting Point P(t)=420 million

i.e.

$420=7\times 0+c$

$c=420 million$

Thus $at\ t=7\ year\ later\ i.e.\ 1907$

$P(t)=7\times 7+420=469 million$

Thus at 1907 Population is 469 million

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2 years ago

Among the following length which one is the smallest <br>A 0.003km <br>B 200mm <br>C. 4m<br> D 50cm

Andre45 [30]

Answer:

200mm is smallest

Step-by-step explanation:

km-m-cm-mm(order of units)

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Tom's dad is putting crown molding around the top of all of the walls in Tom's bedroom The dimensions of his bedroom are 1 3/4 a

ELEN [110]

Answer:

The total cost of the crown molding is <u>$23.43</u>.

Step-by-step explanation:

Given:

Tom's dad is putting crown molding around the top of all of the walls in Tom's bedroom.

The dimensions of his bedroom are 1 3/4 and 15 3/4.

Each foot of crown molding costs $.85.

Now, to find the total cost of the crown molding.

The dimensions are:

$1\frac{3}{4}\ feet \ and\ 15\frac{3}{4} \ feet.$

$\frac{7}{4}\ feet\ and\ \frac{63}{4} \ feet.$

So, to get the area of bedroom:

$\frac{7}{4} \times \frac{63}{4}$

= $\frac{441}{16} \ feet.$

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Now, to get the total cost of crown molding:

$0.85\times \frac{441}{16}$

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Therefore, the total cost of the crown molding is $23.43.

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