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4 years ago

Alex lives eight tenth of a mile from Sarah. What is eight tenths written as a decimal

2 answers:

5 0

Hello!

Eight tenths = 8/10

To convert a fraction to a decimal, we must divide the numerator by the denominator.

8 ÷ 10 = 0.8

Eight tenths is 0.8 as a decimal.

Sunny_sXe [5.5K]4 years ago

4 0

The answer is 0.8

I hope this helps

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Factor the quadratic expression in the equation y=2x^2+28x+96 and use the factors to find the zeros of the equation. Then, use t

gavmur [86]

Answer:

$x=-7$

Step-by-step explanation:

We have been given an equation $y=2x^2+28x+96$ . We are asked to find the zeros of equation by factoring and then find the line of symmetry of the parabola.

Let us factor our given equation as:

$2x^2+28x+96=0$

Dividing both sides by 2:

$x^2+14x+48=0$

Splitting the middle term:

$x^2+6x+8x+48=0$

$(x^2+6x)+(8x+48)=0$

$x(x+6)+8(x+6)=0$

$(x+8)(x+6)=0$

Using zero product property:

$(x+8)=0\text{ (or) }(x+6)=0$

$x+8=0\text{ (or) }x+6=0$

$x=-8\text{ (or) }x=-6$

Therefore, the zeros of the given equation are $x=-8\text{ (or) }x=-6$ .

We know that the line of symmetry of a parabola is equal to the x-coordinate of vertex of parabola.

We also know that x-coordinate of vertex of parabola is equal to the average of zeros. So x-coordinate of vertex of parabola would be:

$\frac{-8+(-6)}{2}=\frac{-14}{2}=-7$

Therefore, the equation $x=-7$ represents the line of symmetry of the given parabola.

4 0

3 years ago

Slips of paper are numbered 1 through 10. If one slip is drawn and replaced 40 times, how many times should the slip with number

Masja [62]

Hey there!

We have 10 pieces of paper. The probability of drawing a 10 is 1/10. Therefore, if we were to draw ten times, the ten should probably be drawn once. If we multiplied our number of drawings by four (10*4=40), our outcome of seeing our slip with the ten should also quadruple and become four times. (1*4=4)

I hope that this helps! Have an awesome day!

6 0

3 years ago

Y=x+ 5 <br>y = 6<br>HELP!!<br>Solve this system of equation algerbraically.

kati45 [8]

Answer:

x = 1

Step-by-step explanation:

plug y = 6 on to the equation y =x + 5

=> 6 = x +5

=> x = 1

5 0

3 years ago

Read 2 more answers

I rlly need help :( this is hard

GrogVix [38]

Answer:

Step-by-step explanation:

The domain does not exist when the denominater of an equation is zero. So in this case if x was -2 and we added 2 the denominator would be zero, and that value does not exist in the domain. Hope this helps!

8 0

3 years ago

The question is below thanks

Paha777 [63]

Answer:

FH ~ 10.02

Step-by-step explanation:

1. Approach

One should first find the circumference of the given circle. Then one should find how large the fraction of the circumference one is supposed to find is. Finally, one should multiply the fraction of the circumference one is supposed to find by the total circumference.

2. Circumference of the circle

The formula for circumference is;

$2r$ π

Substitute in the given values;

It is given that the radius is, hence

2 (7) π

14π

3. Find the fraction of the circumference one is supposed to find

It is given that the angles over the measure of the total degrees of angles in a circle are equal to the arc surrounding the angles of the circumference. Essentially;

$\frac{angles}{360}=\frac{arc}{circumference}$

Substitute in the given information and solve;

$\frac{82}{360}=\frac{arc}{14pi}$

arc = $\frac{41}{180}*14pi$

arc = $\frac{287}{90}*pi$

arc ~ 10.02

3 0

3 years ago