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3 years ago

What value of y makes the equation true. y+2.9=11

Mathematics

1 answer:

yawa3891 [41]3 years ago

8 0

Answer:

y = 8.1

Step-by-step explanation:

y+2.9=11

Subtract 2.9 from each side

y+2.9-2.9 = 11-2.9

y =8.1

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Building a is 271 meters taller than building

kvv77 [185]

Let a and b represent the heights of the corresponding buildings (in meters).

... a = b +271 . . . . . . . a is 271 meters taller than b

... 2b -a = 211 . . . . . . if a is subtracted from twice b, the result is 211

Use the expression for a in the first equation to substitute for a in the second.

... 2b - (b+271) = 211

... b = 482 . . . . . . . . . . . simplify and add 271

... a = b +271 = 753

Building a is 753 meters tall; building b is 482 meters tall.

4 0

3 years ago

suppose that a water fountain produces a stream of water that follows the shape of a parabola. assigning the origin of a coordin

Readme [11.4K]

The quadratic regression equation for the stream of water is $y=-0.139x^{2} +1.667x$ {parabola}

Given that the water stream produced by fountain is parabola

Vertex of parabola is (6,5) , parbola is facing downward,axis of symmetry of parabola is x=6 and parabola passes through (0,0)

according to symmetry the third point on the parabola is (12,0)

General equation for a parabola⇒ Y=-4a $X^{2}$

⇒(y-5)=-4a $(x-6)^{2}$ { as the Vertex of parabola is (6,5) }

⇒(y-5)=-4a( $x^{2} +36-12x$ )

subtituting (0,0) in the equation to get the value of a

⇒-5=-4a(36)

⇒ a= $\frac{-5}{144}$

equation of parabola⇒(y-5)=-4( $\frac{5}{144}$ ) $(x-6)^{2}$

Therefore,The quadratic regression equation for the stream of water is $y=-0.139x^{2} +1.667x$

Learn more about parabola here:

brainly.com/question/21685473

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3 0

2 years ago

A weather station in Antarctica reports that the temperature is currently -44 °C and has been rising at a constant rate of 4.5 °

-Dominant- [34]

Answer:

-17

Step-by-step explanation:

4.5*6=27

so -44++27

6 0

3 years ago

Plastic edging for flower beds comes in 50-foot rolls and costs $6.85 per roll. What is the cost to completely edge two rectangu

Klio2033 [76]

Answer:

The cost of edging the flower beds with roll is $41.10.

Step-by-step explanation:

Given,

dimension of rectangular flower bed :

length = 40 ft

width = 15 ft

dimension of circular flower bed :

diameter = 16 ft

cost of each roll = $6.85

We need to find the cost of roll used to cover completely rectangular and circular flower bed.

Solution,

Firstly we will find out the perimeter of the rectangular flower bed.

Since we know that the perimeter of rectangle is equal to twice the sum of its length and width.

framing in equation form, we get;

Perimeter = $2(40+15)=2\times55=110\ ft$

So the perimeter of 2 flower bed = $2\times110 =220\ ft$

Again we will find out the circumference of the circular flower bed.

And we know that the circumference of the circle is equal to pi multiplied with the diameter.

framing in equation form, we get;

Circumference = $\pi\times16=50.24\ ft$

Now the total edge for covering is equal to the sum of the perimeter of two flowerbed and circumference of one circular flower bed.

Total edge = $220+50.24=270.24\ ft$

Here also given that Plastic edging for flower beds comes in 50-foot per roll.

So we will find out the number of rolls required for edging.

For this we will use the unitary method.

50 ft = 1 roll

270.24 ft = number of roll

$\therefore number\ of\ rolls = \frac{270.24}{50}=5.40$

so we can say that there will be 6 rolls required for edging.

also given the cost of 1 roll is $6.85.

So the cost of 6 rolls = $6\times6.85=\$41.10$

Hence The cost of edging the flower beds with roll is $41.10.

6 0

3 years ago

Two membership levels are offered at a local bookstore. how many books need to be purchased from each membership so that the 2 m

Art [367]

Answer:

Step-by-step explanation:

3 0

3 years ago