Find a linear equation with two variables that, together with the
equation 10x + 5y = 1, would comprise a system
with one solution

Answer:

48

Step-by-step explanation:

Probability helps us to know the chances of an event occurring. The probability distribution of a girl child being born can be drawn as given below.

The probability helps us to know the chances of an event occurring.

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

As it is given to us that the possible genders of the children,

S = {BB, BG, GB, GG},

And we know that the probability of a girl child can be found using the formula of probability, now, finding the probability of the girl child,

A.) The probability that there is no girl child born,

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]

[tex]\rm P(X=0)=\dfrac{\text{Outcomes in which no girl child is born}}{\text{All the possible values}}[/tex]

[tex]\rm P(X=0)=\dfrac{1}{4} = 0.25[/tex]

B.) The probability that there is one girl child is born,

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]

[tex]\rm P(X=1)=\dfrac{\text{Outcomes in which one girl child is born}}{\text{All the possible values}}[/tex]

[tex]\rm P(X=1)=\dfrac{2}{4} = 0.5[/tex]

C.) The probability that there is two girl child is born,

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]

[tex]\rm P(X=2)=\dfrac{\text{Outcomes in which two girl child is born}}{\text{All the possible values}}[/tex]

[tex]\rm P(X=2)=\dfrac{1}{4} = 0.25[/tex]

The probability distribution of a girl child being born can be drawn as given below.

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Answer:A

Step-by-step explanation:

The value of [tex]cot\theta[/tex] when [tex]tan\theta =\frac{11}{60}[/tex] comes to be [tex]\frac{60}{11}[/tex].

Given that trigonometric ratio:

[tex]tan\theta = \frac{11}{60}[/tex]

The tangent of an angle is the ratio of the opposite side(to that angle) to the adjacent side(to that angle).

So, for the given problem

Opposite side to [tex]\theta[/tex] = 11

Adjacent side to [tex]\theta[/tex] = 60

So, [tex]cot \theta =\frac{AdjacentSide }{OppositeSide}[/tex]

[tex]cot\theta =\frac{60}{11}[/tex]

Therefore, the value of [tex]cot\theta[/tex] when [tex]tan\theta =\frac{11}{60}[/tex] comes to be [tex]\frac{60}{11}[/tex].

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Answer:

60/11 is correct (option c)

Step-by-step explanation:

I just took the test

Answer:

Step-by-step explanation:

X1=-4

Y1=7

X2=-3

Y2=6

(-2,0 ) X INTERCEPT

(0,-7)Y INTERCEPT OR B

M=6-7/-3+4

M=_1

Y=-1X+-7

Answer:

  (c)  $80

Step-by-step explanation:

Each discounted price corresponds to the original price multiplied by a factor related to the discount. For a discount fraction of 'd', the multiplier is (1 -d).

This means you can use any of the lines in the table to find the original price.

  5% disount: (1 -5%)·p = $76 . . . . where p is the original price

     p = $76/0.95 = $80 . . . . . . . the original price

  10% discount: (1 -10%)·p = $72

     p = $72/0.90 = $80

  25% discount: (1 -25%)·p = $60

     p = $60/0.75 = $80

_____

Additional comment

The table values for 5% and 10% differ by 5% and $4. That means 5% of the original price is $4. There are two things you can do with this:

Answer:

1/5

Step-by-step explanation:

a=225

45/225=1/5

The formula for GP is Tn=ar^n-1

Answer:

angle d = 106

Answer:

10:45

Step-by-step explanation:

Answer:

10:45 :)

Step-by-step explanation:

The spy will cover a distance of 60t in t hours and the special agent will cover a distance of 90t in t hours.

Distance is actually known as the amount of space between two points. When calculating speed, it is given as:

Speed = distance ÷ time

The spy's distance in t hours:

Distance = 60 × t = 60t.

The special agent's distance in t hours:

Distance = 90 × t = 90t

The distance between them will be =

Distance of special agent minus distance of the spy: 90t - 60t = 30t.

By the time the chase begins, the distance between the spy and special agent will be:

(2 × 60mph) - 0 = 120m - 0.

= 120m.

Time taken for the special agent to catch the spy: 120 + 60t = 90t

120 = 90t - 60t

120 = 30t

t = 120/30 = 4 hours.

Speed the special agent should chase the spy:

Distance = 240 miles

Time = 4 hours.

Then Speed = 240/4 = 60mph.

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The total amount accrued, principal plus interest, with compound interest on a principal of $500.00 at a rate of 8% per year compounded 1 times per year over 16 years is $1,712.97.

Given Data

A = P + I where

P (principal) = $500.00

I (interest) = $1,212.97

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 8/100

r = 0.08 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 500.00(1 + 0.08/1)^(1)(16)

A = 500.00(1 + 0.08)6(16)

A = $1,712.97

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Answer:

1/5

Step-by-step explanation:

16 out of the 20 times landed on heads, making 4/20 times it landed on tails.

16 divided by 20 is .8 which turns into 80%

100% - 80% = 20%

To simplify into a fraction:

80/100 is equivalent to 4/5 when divided by 20, leaving 1/5 to complete the fraction which later totals to 100%

Answer:

the answer is 1/2

Step-by-step explanation:

i just did it

The line RS would extend in both direction, while the ray TV would extend in one direction

A line is an undefined term of geometry; and it can only be defined through examples. However, the general notion is that a line extends in both directions without end

Rays are extracts from a line; that have a fixed point and an endless point

Using the above definitions, we can draw the line RS such that the point T is located on line RS and the point T extends to point V to form a ray TV

See attachment for the diagram

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Answer:

Step-by-step explanation:

   (x+1)       = domain = all real #s

(x²-6x-8)⇒ (x-4)(x-2)= x≠ 2,4

Because you can not have a zero in the denominator, x≠2,4

so your domain is (-∞,2)∪(2,4)∪(4,∞)

Answer:

[tex]\sf 36\pi \ units^3[/tex]

explanation:

[tex]\sf \pi r^2 h[/tex]

[tex]\sf \pi (3)^2 (4)[/tex]

[tex]\sf 36\pi \ units^3[/tex]

note: the height should be perpendicular from the cylinder's radius.

Answer:

[tex]36\pi {unit}^{3} [/tex]

# Jerry Don is here #

Answer:

The answer is 21/40

Step-by-step explanation:

Hope that helps!

Answer:

don't know if this is the right way butttt i'm going to give it a shot

Step-by-step explanation:

Cost: I'm guessing this is for the rent for the shoes or is the total cost?

Bowler World: 5 + 1.1g = c | c + 1.1g = t {(this is the other option) probs not correct}

Lucky Spares: 3 + 1.5g = c | c + 1.5g = t

K so personally you should choose option 1 (for example: 5 + 1.1g = c), i have no idea how the proper format is supposed to be

either i hope this helps :)

The examples of geometric names include triangle, circle, square, rectangle, pentagon, etc.

Your information is incomplete as the shapes aren't given. Therefore, an overview will be given.

A geometric name is the name that is given to a shape. In this case, examples include  triangle, circle, square, rectangle, pentagon, etc.

Triangle has three sides. A square has four equal sides. A rectangle has opposite sides equal, etc

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Answer:

Runner A is more consistent as all of the dots are close to the line unlike Runner B or C

Answer:

73

Step-by-step explanation:

supplementary anges are equal to 180 so e is 180-107

Answer: 73∘.

Step-by-step explanation: With supplementary angles, the two angles have to add up to 180∘.  According to the question, the measure of <F is 107∘.  What we need to do is make <E and <F add up to 180∘.  To do this, we can subtract 107∘ from 180∘ to find <E:

180∘ - 107∘ = 73∘, which means that <F is 107∘ and <E is 73∘, which both make 180∘.

Therefore, <E is 73∘.

Have a great day! :)

Answer:

  C, E

Step-by-step explanation:

Here, we want to change the equation of a circle from general form to standard form. This is done by making the leading coefficients 1, completing the squares, and then rewriting the equation in standard form.

The leading coefficients of the given equation are 2, so we first want to divide by 2. This gives ...

  x² +y² -4x -6y +8 = 0

Subtracting 8 puts us in better position to complete the squares.

  x² +y² -4x -6y = -8

Now, we can add the squares of half the coefficients of the linear terms.

  (x² -4x +4) +(y² -6x +9) = -8 +13 . . . . . . matches C

And we can simplify this to the standard form equation:

  (x -2)² +(y -3)² = 5 . . . . . matches E

Answer:

42.25π cm²

Step-by-step explanation:

To find the area of the circle, first find its radius.

Formulas needed

Given: circumference= 13π cm

2πr= 13π

Divide both sides by 2π:

[tex]r = \frac{13}{2} [/tex]

r= 6.5 cm

Now, we can find the area by substituting r= 6.5 into the area of circle formula.

Area of circle

= πr²

= π(6.5)²

= 42.25π cm²

Answer:

0.018

Step-by-step explanation

6,100,9a-mo,0.018

Answer:

B and D

Step-by-step explanation:

vertical angles are ones that are formed by intersecting lines, and they are also equal to each other and opposite of each other.

its not A because they are not equal to each other.

B is correct because they are formed by intersecting line and equal to each other

C is incorrect since theres some random line that doesnt completely pass through on either side

D is correct

Answer:

C. 72

Step-by-step explanation:

your are given the adjacent length of 2.4 cm and the hypotenuse of 7.8cm

so we know cos = adjacent/ hypotenuse

so to find the angle of cos you use the inverse of cos^-1(2.4/7.8)

after typing into calculator you should get about 72

Answer:

C

Step-by-step explanation:

cos(0)= Adjacent/Hypotenuse

cos(0)= n/p

cos(0)=2.4/7.8

cos(0)=4/13

(0)=cos‐¹(4/13)

(0)=72.07978686

(0)=72°

angle (0)= 72°

1/18

Step-by-step explanation:

[tex] \frac{1}{3} \times \frac{1}{6} = \frac{1}{18} [/tex]

Answer:

A.

One expression you can do is the total amount of distance Buddy runs in a 5 day period, as a function of the amount of miles he runs in a day.

d(x) = y = 5x

d(x) being total amount of miles buddy runs in 5 days. x being the amount of miles he runs in a day.

B.

Now if he ran 10 miles a day, just substitute 10 for x.

d(10) = y = 5(10) = 50

Step-by-step explanation:

y+2=3(x-7)

y+2=3x-21

y=3x-21-2

y= 3x-23

Slope is 3

Answer:

Slope intercept form;

y = mx + b

Where y is the independent variable, and x is the dependent variable, 'm' represents the slope and 'b' represents the y intercept.

We are given;

y + 2 =3(x - 7)

So we rearrange this into slope intercept form.

y + 2 = 3(x - 7)

Simplify:

y + 2 = 3x - 21

Apply inverse operation of addition (subtraction).

-2           -2

y = 3x - 23

Answer: x=18/5  y=127/5

Step-by-step explanation:

For both equations

1. subtract from both sides

2. divide to find what the variable equals