What is the value of a in the equation a = 2 + 3a + 6?

Answers

Answer 1

Answer: a = 2+3a +6

a-3a = 8

-2a = 8

a = -8/2 = -4

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Fred wants to carpet his bedroom that measures 12 ft by 15 ft. The Carpet cost $25 per square yard. How much will it cost Fred to carpet his bedroom?

Answers

12 ft by 15 ft is 180 square feet. 180 square feet is 20 square yards. So take 20 multiplied by 25$ and thats how much money you have to spend to carpet Fred's room. so basically 500$

it cost about 100 bucks to but a carpet in Fred's bedroom because the measurements are 12ft by 15ft & the carpet cost 25 per square yard

The perimeter of a rectangle is 96 ft. The ratio of the length to the width is 7:5. what are the dimensions of therectangle?

Answers

Perimeter = 2(l + w) = 2(7x + 5x) = 2(12x) = 24x = 96
x = 96/24 = 4.
Therefore, length = 7 x 4 = 28 ft and width = 5 x 4 = 20ft

Given that a = 4, b = 3, c = 2, and d = 1, which gives the correct order from least to greatest for the rational numbers on a number line?

Answers

Least to greatest would mean going from the smallest number to the biggest. So it would be d,c,b,a

Final answer:

The correct order from least to greatest for the rational numbers given is d < c < b < a.

Explanation:

To find the correct order from least to greatest for the rational numbers, we need to compare the values of a, b, c, and d.

a = 4 is the greatest rational number.
b = 3 is the second greatest rational number.
c = 2 is the third greatest rational number.
d = 1 is the least rational number.

Therefore, the correct order from least to greatest is d < c < b < a.

Learn more about Ordering Rational Numbers here:

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In 1950, there were 40.3 million cars registered in the United States. In 1990, there were 133.7 million cars registered in the United States. What was the percent increase of registered cars from 1950 to 1990?

Answers

$(133.7)/(40.3)*100\%\approx331,76\%$

Final answer:

The number of registered cars in the US increased by about 231.76% from 1950 to 1990, calculated by finding the difference between the two given values, then dividing this by the initial value and multiplying by 100 to get the answer as a percentage.

Explanation:

The question is asking for a percent increase in the number of registered cars in the United States from 1950 to 1990. To calculate a percent increase, you first need to determine the amount of the increase, then divide this by the original amount, and multiply by 100 to get the answer in percent form.

The number of registered cars in the United States increased from 40.3 million in 1950 to 133.7 million in 1990. The amount of increase is therefore 133.7 (1990 number) - 40.3 (1950 number) = 93.4 million.

Next, we find the percent increase by dividing the increase by the original (1950) amount and multiplying by 100: (93.4 / 40.3) x 100 = Approximately 231.76%. So, there was roughly a 231.76% increase in the number of registered cars in the United States from 1950 to 1990.

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Make 25 with 1, 9, 9 and 6 in order using any symbol

Answers

Simply add the numbers. 1+9+9+6=25.

Could the points (-4,3), (-1,1) and (1,3) form the vertices of a right triangle? Why or why not?

Answers

Answer:

The given points of triangle do not form a right triangle because they are satisfying the property of right angle triangle.

Step-by-step explanation:

Given : The points (-4,3), (-1,1) and (1,3)

To find : Could the points form the vertices of a right triangle? Why or why not?

Solution :

First we find the distance between the points so that we get the length of the sides.

Let, A=(-4,3), B=(-1,1), C=(1,3)

Distance formula is

$d=√((x_1-x_2)^2+(y_1-y_2)^2)$

The distance between point A and B

$|AB|=√((-4+1)^2+(3-1)^2)=√(9+4)=√(13)$

The distance between point B and C

$|BC|=√((-1-1)^2+(1-3)^2)=√(4+4)=√(8)$

The distance between point A and C

$|AC|=√((-4-1)^2+(3-3)^2)=√(25+0)=5$

According to property of triangle,

If the square of larger side of triangle is equating to the sum of square of smaller side $a^2=b^2+c^2$ the triangle is right triangle .

Larger side of the triangle is AC=5 unit and smaller sides are $AB=√(13)$ and $BC=√(8)$

$AC^2=AB^2+BC^2$

$5^2=√(13)^2+√(8)^2$

$25=13+8$

$25\neq21$

So, The given points or the vertices of triangle do not form a right triangle because they are satisfying the property of right angle triangle.

$A=(-4,3),B=(-1,1),C=(1,3)\n |AB|=√((-4+1)^2+(3-1)^2)=√(9+4)=√(13)\n |BC|=√((-1-1)^2+(1-3)^2)=√(4+4)=√(8)\n |AC|=√((-4-1)^2+(3-3)^2)=√(25+0)=5\n L=√(13)^2+√(8)^2=13+8=21\neq5^2\neq\ R$

It's impossible to form right triangle using thes points.

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