Under his cell phone plan, Zachary pays a flat cost of $68 per month and $5 per
gigabyte. He wants to keep his bill at $75.50 per month. Write and solve an equation
which can be used to determine X, the number of gigabytes of data Zachary can use while staying within his budget.

Answer:

P(P, then Y)=(1/11)(1/10)=1/110

Step-by-step explanation:

The number of letters in probability is 11.

There is 1 P.

The probability of drawing a P on draw 1 is the number of ways of drawing a P, which is 1, divided by the number of ways of drawing any letter, which is 11.  Thus:

Probability of drawing a P on the first draw is 1/11.

There are now 10 letters left. There is 1 Y. so

Probability of drawing a Y on the second draw given that you drew a P on the first draw is 1/10.

The probability of drawing a P on the first draw and a Y on the second draw is

(probability of a P on draw 1)(probability of drawing a Y on draw 2, given a P on draw 1)

P(P, then Y)=(1/11)(1/10)=1/110

Answer:

Step-by-step explanation:

Answer: 476m²

Step-by-step explanation:

Find the area of the triangle and then subtract it from the area of the rectangle.

Area of triangle = 1/2 * base * height

= 1/2 * 8 * 6

= 24m²

Area of rectangle:

= Length * Width

= 25 * 20

= 500m²

Area not covered by garden:

= 500 - 24

= 476m²

Answer:

Set up trig ratio using tangent.

Tan theta = opp/adj

Tan theta = 500/800

Tan^-1 (500/800) = 32 degrees

Answer:

− 2  <  x  <  4

Step-by-step explanation:

Answer:

1st-joanna

2nd-Mary

3rd-Betty

4th-leah

Step-by-step explanation:

joanna won the race

Answer:

Joanna won followed by Leah ,then Betty and lastly Marry

Answer:

Inverse operation

Step-by-step explanation:

Basically it is an operation that reverses the effect of another operation.

Answer:

759

Step-by-step explanation:

try cross multiplication

Answer:

About $0.11 per ounce i believe.

Step-by-step explanation:

just divide the price by 100.

Answer: Quadratic Function: A function with the highest power of variable as 2.

Vertex: The lowest or highest point on the graph of a quadratic function.

Two Types of Problems: Finding quadratic function (a) given the vertex and another point; and (b) given three points.

Step-by-step explanation:

Answer: 160cm^3

Step-by-step explanation:

cuboid volume l*w*h

so im guessing square base l=w so  4x4=16 and  height 10x16=160

Answer:

160[tex]cm^{3}[/tex]

Step-by-step explanation:

Length a  : 4

width b :4

height c :10

Answer:

[tex]\displaystyle \cos(2x)=-\frac{7}{25}[/tex]

Step-by-step explanation:

We want to find:

[tex]\displaystyle \cos(2x)\text{ given that }\sin(x)=-\frac{4}{5}[/tex]

And x is in QIII.

Recall that sine is the ratio of the opposite side to the hypotenuse.

Therefore, the adjacent side is (we can ignore the negative for now).

[tex]a=\sqrt{5^2-4^2}=\sqrt{25-16}=\sqrt{9}=3[/tex]

So, the adjacent side is 3, the opposite side is 4, and the hypotenuse is 5.

Using the double angle identity, we can rewrite:

[tex]\cos(2x)=\cos^2(x)-\sin^2(x)[/tex]

Since x is in QIII, cosine is positive, sine is negative, and tangent is negative.

Using the above values, we can conclude that:

[tex]\displaystyle \cos(x)=\frac{3}{5}\text{ and } \sin(x)=-\frac{4}{5}[/tex]

Substitute:

[tex]\displaystyle \cos(2x)=\Big(\frac{3}{5}\Big)^2-\Big(-\frac{4}{5}\Big)^2[/tex]

Evaluate:

[tex]\displaystyle \cos(2x)=\frac{9}{25}-\frac{16}{25}=-\frac{7}{25}[/tex]

Answer:

Step-by-step explanation:

x^9 + 3x^8 +2x^7 +4=0

Hey,I'm not sure enough...i guess if the highest power is 9 then we get 9 roots..sorryvif I'm wrong:')

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A=  x=0

B=  x=12

C=   x=2

Answer:

[tex] 687.5 \: {ft}^{2} [/tex]

Step-by-step explanation:

Area of polygon = Area of square + Area of triangle

[tex] = {25}^{2} + \frac{1}{2} \times 25 \times (30 - 25) \\ \\ = 625 +\frac{1}{2} \times 25 \times5 \\ \\ = 625 + \frac{1}{2} \times 125 \\ \\ = 625 + 62.5 \\ \\ = 687.5 \: {ft}^{2} [/tex]

Answer:

A. 157.21. is the answer

Step-by-step explanation:

I hope this helps

Answer: division properties

Step-by-step explanation:

Answer:

B is the only one i know, sorry.

Step-by-step explanation:

Hope this helped

Answer:

28

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Using the Triangle Sum Theorem, we can prove that m<A + m<B + m<C = 180⁰. Looking at the triangle above, it has given us two measurements. We have to find the third measurement. In order to find the third measurement we will use the Triangle Sum Theorem.

m<A + m<B + m<C = 180⁰

x + 83 + 60⁰ + 40⁰ = 180⁰

x + 183⁰ = 180⁰

x + 183⁰ - 183⁰ = 180⁰ - 183⁰

x = -3

Now plug in -3 in the x place.

x + 83

-3 + 83 = 80⁰

Let us make sure that our Triangle Sum Theorem is right.

m<A + m<B + m<C = 180⁰

80⁰ + 60⁰ + 40⁰ = 180⁰

180⁰ = 180⁰

So this makes our answer true. Hope this helps, thank you :) !!

Answer:

283

Step-by-step explanation:

458-175=283

and you have your answer.

Answer:

x=−4 or x=5 This is the awnser to x^2-20=0

Answer:

(4,1)?

Step-by-step explanation:

Answer:

30 cm

Step-by-step explanation:

Area = 225 m^2

1/2bh = 225

b×15 = 225×2

B = 225×2/15

b = 30 cm

Given:

Principal value = 40000

Rate of compounded interest = 20%

Time = 2 years

To find:

The interest.

Solution:

Formula for amount is

[tex]A=P\left(1+\dfrac{r}{100}\right)^t[/tex]

Where, P is principal, r is rate of interest and t is time in years.

Putting the given values, we get

[tex]A=40000\left(1+\dfrac{20}{100}\right)^2[/tex]

[tex]A=40000\left(1+\dfrac{1}{5}\right)^2[/tex]

[tex]A=40000\left(\dfrac{6}{5}\right)^2[/tex]

[tex]A=40000\left(\dfrac{36}{25}\right)[/tex]

[tex]A=57600[/tex]

Now, the formula for interest is

[tex]I=A-P[/tex]

[tex]I=57600-40000[/tex]

[tex]I=17600[/tex]

Therefore, the amount of compound interest is 17,600.

Answer:

x > 3/2

Step-by-step explanation:

2x - 3 > -4x + 6

Add 4x to each side

2x+4x - 3 > -4x+4x + 6

6x-3 > 6

Add 3 to each side

6x-3+3>6+3

6x>9

Divide each side by 6

6x/6 >9/6

x > 3/2

Answer:

The answer is 24/7

Answer:

3.428

Step-by-step explanation: