Please answer the following problems as a fraction:

1. - 9/10 + 7/10 =

2. - 1/2 — 2/5 =

Answer:

[tex]t = 2.57[/tex]

Step-by-step explanation:

Given

[tex]h=-16t^2+12t+75[/tex]

Required

Determine the time to hit the ground

The ground is at point 0.

So, to solve this; we simply set [tex]h =0[/tex], then calculate the value of t

[tex]0=-16t^2+12t+75[/tex]

Multiply through by -1

[tex]0=16t^2-12t-75[/tex]

Reorder

[tex]16t^2-12t-75 = 0[/tex]

Solve using quadratic formula:

[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]

Where

[tex]a = 16; b = -12; c = -75[/tex]

[tex]t = \frac{-(-12)\±\sqrt{(-12)^2 - 4*16*(-75)}}{2*16}[/tex]

[tex]t = \frac{12\±\sqrt{144 +4800}}{32}[/tex]

[tex]t = \frac{12\±\sqrt{4944}}{32}[/tex]

[tex]t = \frac{12\±70.31}{32}[/tex]

Split:

[tex]t = \frac{12+70.31}{32}[/tex] or [tex]t = \frac{12-70.31}{32}[/tex]

[tex]t = \frac{82.31}{32}[/tex] or [tex]t = \frac{-58.31}{32}[/tex]

But time (t) can't be negative;

So, we make use of only

[tex]t = \frac{82.31}{32}[/tex]

[tex]t = 2.57[/tex]

Hence, the time to hit the ground is 2.57 seconds

Subtract to find the difference in the amounts:

9.1 - 6.2 = 2.9

Divide the change by the starting amount:

2.9/6.2 = 0.46774

Multiply by 100 to get the percentage and round to the nearest tenth:

0.46774 x 100 = 46.8 %

Answer: 46.8%

Answer:

The volume of the open box is [tex]V = 108\cdot x -42\cdot x^{2}+4\cdot x^{3}\,\,\,[in^{3}][/tex].

Step-by-step explanation:

Geometrically speaking, the volume of the open box ([tex]V[/tex]), measured in cubic inches, is described by the volume of a right parellelepiped. That is:

[tex]V = w\cdot l \cdot h[/tex] (1)

Where [tex]w[/tex], [tex]l[/tex] and [tex]h[/tex] are the width, length and height of the open box, respectively, measured in inches. Please notice that width of the open box is the width of the piece of cardboard ([tex]w'[/tex]), measured in inches, minus two times the side of the cut squares ([tex]x[/tex]), measured in inches, length of the open box is the length of the piece of cardboard ([tex]l'[/tex]), measured in inches, minus two times the side of the cut squares and the height of the open box is the side of the cut squares. That is:

[tex]w = w' -2\cdot x[/tex] (2)

[tex]l = l' - 2\cdot x[/tex] (3)

[tex]h = x[/tex] (4)

By applying (2), (3), (4) in (1), we expand and simplify the volume function:

[tex]V = (w'-2\cdot x)\cdot (l'-2\cdot x)\cdot x[/tex] (5)

If we know that [tex]w' = 9\,in[/tex] and [tex]l' = 12\,in[/tex], then the equation above is:

[tex]V = (9-2\cdot x)\cdot (12-2\cdot x)\cdot x\,\,\,[in^{3}][/tex]

[tex]V = (108-24\cdot x-18\cdot x+4\cdot x^{2})\cdot x\,\,\,[in^{3}][/tex]

[tex]V = (108-42\cdot x +4\cdot x^{2})\cdot x \,\,\,[in^{3}][/tex]

[tex]V = 108\cdot x -42\cdot x^{2}+4\cdot x^{3}\,\,\,[in^{3}][/tex]

The volume of the open box is [tex]V = 108\cdot x -42\cdot x^{2}+4\cdot x^{3}\,\,\,[in^{3}][/tex].

Answer:

Length of one side of the container = 5 feet

Step-by-step explanation:

Given:

V = s³

Where,

V = volume of the container

s = side length of the container

V = 125 cubic feet

Find s?

V = s³

125 = s³

Find the cube root of both sides

3√125 = 3√s³

5 = s

s = 5 feet

Length of one side of the container = 5 feet

Answer:

12/5

Step-by-step explanation:

5/2 = 6/x

in order to solve for x, you can do cross multiplication hence,

5x = 6(2)

x = 12/5

Answer:

12/5

Step-by-step explanation:

5/2=6/x

5x=12

X=12/5.

So the answer is 12/5

Answer:

No solutions.

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

-2(4 - 3x) - 6x = 10

Step 2: Solve for x

Here we see that -8 does not equal 10.

∴ This equation has no solutions.

Answer:

n=30

Step-by-step explanation:

40/36=1.111111

1.111111 times 27=30

Answer:

n=30

Step-by-step explanation:

solve by simplifying both of the equations , the isolating the variable

Reduce the fraction with 9  27/36 divide top and bottom by 9 = 3/4

n/40=3/4   cross multiplication 4n = 120 ( divide both sides by 4 )

n=30

Answer:

<< >> >=>= =>=< >><< ><<< >>==

Step-by-step explanation:

Answer:

>,>,>,>

>,>,>,<

<,>,<,>

>,<,<,<

=,=,=,<

Answer:

1. 3x+4y=30

2. 30x+40y=300

3. x+4/3y=10

Step-by-step explanation:

Answer:

landing on a 4 would be 1/3 chance

and

landing on a number less than 4 would be 2/3 chance

Step-by-step explanation:

The probability of landing on a 4 is 1/3 and then landing on a number less than 4 is 2/3.

Probability is the chance of happening an event or incident.

The probability of landing on a 4 is 1/3.

Then, the probability on landing on a number less than 4 = 2/3.

Learn more about probability here: https://brainly.com/question/11234923

#Tag #SPJ2

Answer:

Divisor:D

Divedend: A

Quotient:C

Step-by-step explanation:

The divisor = (x+3), the dividend = (2x³+11x²+18x+9) and the quotient = (2x²+5x+3)

Synthetic division is a method for manually performing Euclidean division of polynomials.

Given that polynomial divisor, dividend and quotient ;

The correct divisor, dividend and quotient are (x+3), (2x³+11x²+18x+9) and (2x²+5x+3) respectively

Hence, The divisor = (x+3), the dividend = (2x³+11x²+18x+9) and the quotient = (2x²+5x+3)

For more references on Synthetic division, click;

https://brainly.com/question/28824872

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Answer:

26  and 1x+3y   on Delta math

Step-by-step explanation:

Explanation:

Each free throw scores 1 point, so 8 free throws would score 1\times 81×8 or 8 points. Each three point shot scores 3 points, so 6 three point shots would score 3\times 63×6 or 18 points. Therefore, the total number of points Madison would score is 26.

Answer:

3?

Step-by-step explanation:

Answer:

what is it?

Step-by-step explanation:

Answer:

Simplify the expression.

25

x

+

2

Step-by-step explanation:

Answer:

(7x-3)(x+4)

Step-by-step explanation:

hope this helps:)

Answer:

He will have 0.50 chage back

Step-by-step explanation:

Answer:

.50 cents

Step-by-step explanation:

2 beef sticks price will add to $1. 2 crackers of cheese add to $1.50. And 2 chocolate milks add to $2. Now add them all and you will get .50 cents

it's tooo easy

answer -1296

Answer:

Depends on your GPA

Step-by-step explanation:

Answer:

It is MOST LIKELY NOT going to land on green.

Step-by-step explanation:

Since the spinner has 6 sides, the total possible outcome is 6. There are 3 reds, 2 blues and 1 green.

The probability that the spinner will land on a green is [tex]\frac{1}{6}[/tex]. But since we are looking for the probability that it won't land on green, we have [tex]1 $-$ \frac{1}{6} = \frac{5}{6}[/tex]

From here we can best describe the likelihood that the spinner will land on a colour not green as: it is MOST LIKELY NOT going to land on green

Answer:

27 + 6x = 8.25x

Number of movies (x) = 12

Step-by-step explanation:

Given that:

VIP membership :

Membership fee = $27 per year

Amount per movie = $6

Hence ;

Membership fee + (amount per movie * number of movies)

27 + 6x - - - (1)

Non member :

Amount paid per movie = $8.25

amount per movie * number of movies)

8.25x - - (2)

Let Numbe of movies = x

In other to pay the same amount of money :

Equate (1) and (2)

Equation :

27 + 6x = 8.25x

8.25x - 6x = 27

2.25x = 27

X = 12 movies

Answer:

Step-by-step explanation:

Part 1:y=426x+4298

        y=223x+6129

Part 2: x=9.020 (x is the number of months and y is the miles)

Part 3: y=8140.394, or 8,140 since it's rounding to the nearest mile

Answer:

See answers in explanation below

Step-by-step explanation:

1.   4298 + 426t = 6129 + 223t

2. Basically get into the graphing page and find "function" section then select "f(x) = mx + b", then graph f(x) = 426x + 4298 and f(x) = 223x + 6129

and find the answer at where these two lines intersect with each other, x=9.0197 (months)

3. sub x=9.0197 into any of the two equation and f(x) = 8140 (miles)

Answer:

1,050 feet

Step-by-step explanation:

All you have to do is take the total height 1,454 and subtract the distance from the top to the 86th floor. 1,454-404 which gives you 1,050.

Answer:

150

Step-by-step explanation:

go submit it

Answer:

-2

Step-by-step explanation:

They are asking for the slope. y2-y1/x2-x1

Make a table of results for the equation

x      y

5      -2(5)+1=-10+1=-9 Y1

6      -2(6)+1=-12+1=-11  Y2

-11--9=-11+9=-2

6-5=1

Average rate pf change os -2/1=-2

Answer:

320

Step-by-step explanation:

joe has 80 three times eighty is 240 so they have 240+80=320 so they have 320 games in total

¿Dónde está la pregunta que estás haciendo? No veo opciones, amigo.

Answer:

point form: (-2,5)

Step-by-step explanation:

8x + 5y = 9

y = x + 7

sub. y into the first one

8x + 5(x + 7) = 9

8x + 5x + 35 = 9

13x + 35 = 9

solve for x

13x = -26

x = -2

solve for y

y = x + 7

y = -2 + 7

y = 5

Answer: I believe the answer would be (-2, 5) Hope this helped!

Answer:

it would be 150 boys and 240 girls

Step-by-step explanation: