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3 years ago

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Gavin is making a flag for a school project. He has 3 1/6 ft of fabric. He used 2 1/2 ft to make the flag. How much fabric is re

maining?

1 answer:

Mama L [17]3 years ago

7 0

Answer:

be more specific

Step-by-step explanation:

You might be interested in

Please show all work :)

yulyashka [42]

I might be wrong but I think the answer would be -x+2x+6 as a simplified version because if you use the equation (x+4•x+3)-3x(x+1)=a (or any letter you choose), you will get 3x+x^2+12+4x-3x-3x^2=y. Then, you can combine like terms:
4x-2x+12=a

7 0

3 years ago

The population of a city has decreased by 35% since it was last measured. If the current population is 9100 , what was the previ

Alina [70]

The previous population was 14000.

Explanation

The population decreased by 35% since the last measurement. So the current population is less than the previous population.

current population=9100

previous population =x

current population is 35% less than the previous population x

$9100=x*(100-35)/100\\9100=(x*65)/100\\x=(100*9100)/65=14000$

The previous population was 14000.

4 0

3 years ago

If (5x-3y)²=0, then x/y=?

alexandr1967 [171]

Answer:

$\frac{3}{5}$

Step-by-step explanation:

Given

(5x - 3y)² = 0, then

5x - 3y = 0 ( add 3y to both sides )

5x = 3y (divide both sides by 5 )

x = $\frac{3}{5}$ y ( divide both sides by y )

$\frac{x}{y}$ = $\frac{3}{5}$

5 0

3 years ago

Read 2 more answers

Prove that if a is a natural number, then there exist two unequal natural numbers k and l for which ak−al is divisible by 10.

EastWind [94]

Assume a is not divisible by 10. (otherwise the problem is trivial).
<span>Define R(m) to be the remainder of a^m when divided by 10. </span>
<span>R can take on one of 9 possible values, namely, 1,2,...,9. </span>
<span>Now, consider R(1),R(2),......R(10). At least 2 of them must have the sames value (by the Pigeonhole Principle), say R(i) = R(j) ( j>i ) </span>
<span>Then, a^j - a^i is divisible by 10.</span>

8 0

3 years ago

Read 2 more answers

From a point A that is 8.20 m above level ground, the angle of elevation of the top of a building s 31 deg 20 min and the angle

Mariulka [41]

Answer:

30.11 meters ( approx )

Step-by-step explanation:

Let x be the distance of a point P ( lies on the building ) from the top of the building such that AP is perpendicular to the building and y be the distance of the building from point A, ( shown in the below diagram )

Given,

Point A is 8.20 m above level ground,

So, the height of the building = ( x + 8.20 ) meters,

Now, 1 degree = 60 minutes,

⇒ $1\text{ minute } =\frac{1}{60}\text{ degree }$

$20\text{ minutes }=\frac{20}{60}=\frac{1}{3}\text{ degree}$

$50\text{ minutes }=\frac{50}{60}=\frac{5}{6}\text{ degree}$

By the below diagram,

$tan ( 12^{\circ} 50') = \frac{8.20}{y}$

$tan(12+\frac{5}{6})^{\circ}=\frac{8.20}{y}$

$tan (\frac{77}{6})^{\circ}=\frac{8.20}{y}$

$\implies y=\frac{8.20}{tan (\frac{77}{6})^{\circ}}$

Now, again by the below diagram,

$tan (31^{\circ}20')=\frac{x}{y}$

$tan(31+\frac{1}{3})=\frac{x}{y}$

$\implies x=y\times tan(\frac{94}{3})=\frac{8.20}{tan (\frac{77}{6})^{\circ}}\times tan(\frac{94}{3})^{\circ}=21.9142943216\approx 21.91$

Hence, the height of the building = x + 8.20 = 30.11 meters (approx)

8 0

3 years ago