In a small town, there are 4 times as many left-handed males as there are left-handed females, and there are 3 times as many right-handed females as there are right-handed males. There are a total of 204 males and 348 females in the town. Let x represent the number of left-handed females, and let y represent the number of right-handed males. Write a system of equations to represent the situation. What is the value of x, the number of left-handed females? A. 6 B.24 C. 96 D. 108

Answer:

This is the graph I inputted into desmos.

Step-by-step explanation:

Next time, using a graphing calculator will work! However, making a table for the x and y outputs will also make it easier to graph points.

For example: see attached image of table.

Answer: 9.9

Step-by-step explanation:

SINE RULE:

7/sin(31) = q / sin(47)

Therefore q = 7 / sin(31) * sin(47)

which equals: 9.9 to the nearest tenth.

Answer:

q = 9.9

Step-by-step explanation:

We can use the rule of sines

sin R             sin Q

------------- = ------------

PQ                 PR

sin 31            sin 47

------------- = ------------

 7                q

Using cross products

q sin 31 = 7 sin 47

Divide by sin 31

q = 7 sin 47 / sin 31

q =9.939995043

To the nearest tenth

q = 9.9

Answer:

THe standard form of equation for a line is -2x+y=6

Step-by-step explanation:

THe standard equation has a form of Ax+ By=C, where A, B and C are constants.

12x-y=-6 is not a standard form of a line equation, because the value near you is negative, but should be positive. It would be this form if we would change it a little bit to the form:

-12x=y=6

Step-by-step explanation:

The probability that either Jack or Jill will be selected on the first draw is 2/30.

The probability that the other person will be selected on the second draw is 1/29.

The probability of both events is (2/30) (1/29), which simplifies to 1/435.

Answer: about 13u

Step-by-step explanation:

Distance can be calculated as [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\\sqrt{(6-(-7))^2+(4-8)^2}\\\\\\\sqrt{(13)^2+(-4)^2}\\\\\\\sqrt{185}\\\\13[/tex]

Hope it helps <3

Step-by-step explanation:

[tex]4(x-7)=0.3(x+2)+2.11\\\\Distribute\\\\4x+28=0.3(x+2)+2.11\\\\Distribute\\\\4x+28=0.3x+0.6+2.11\\\\Combine\\like\\terms\\\\4x+28=0.3x+2.71\\\\Subtract\\\\3.7x+28=2.71\\\\Subtract\\\\3.7x=-25.29\\\\Divide\\\\x=\tex{ about }6.83513514[/tex]

Hope it helps <3

Answer:

x = 83/10=8^3/10=8.3

Step-by-step explanation:

4(x − 7) = 0.3(x + 2) + 2.11

Use the distributive property to multiply 4 by x−7.

4x−28=0.3(x+2)+2.11

Use the distributive property to multiply 0.3 by x+2.

4x−28=0.3x+0.6+2.11

Add 0.6 and 2.11 to get 2.71.

4x−28=0.3x+2.71

Subtract 0.3x from both sides.

4x−28−0.3x=2.71

Combine 4x and −0.3x to get 3.7x.

3.7x−28=2.71

Add 28 to both sides.

3.7x=2.71+28

Add 2.71 and 28 to get 30.71.

3.7x=30.71

Divide both sides by 3.7.

x= 3071/370

Expand  3.7/30.71≈8.3 by multiplying both numerator and the denominator by 100.

x = 83/10

Answer:

55 games

Step-by-step explanation:

What we have to figure out is the total amount of games they played the whole year. We know they won 20% of their games, which equates to 11 games won in total. In order to find the total amount of games we will need to set up the equation [tex]g = 11/20[/tex]%. We solve this accordingly: [tex]g = (11/20) *100[/tex]; [tex]g = (.55)*100[/tex]; [tex]g = 55[/tex].

Answer: Jennifer didn't randomly assign participants to the control and experimental group.

Step-by-step explanation: In the scenario discussed above, Jennifer failed to perform a random assignment of the participants who took part in the survey, that is the experimental group, those who receive the treatment and the control group, those who don't. Random assignment is required in other to address the issue of bias in our experiment. She was supposed to perform a random assignment of the participants to the two groups instead of asking them to make a choice.

Answer:

See below.

Step-by-step explanation:

Recall that the equation for a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h,k) is the center and r is the radius.

We know the center is (0,5) and the radius is 8. Plug in the numbers:

[tex](x-(0))^2+(y-(5))^2=(8)^2[/tex]

We can remove the parentheses on the left. Therefore, the equation will be:

[tex]x^2+(y-5)^2=64[/tex]

Answer:

( x) ^2 + ( y-5) ^2 = 64

Step-by-step explanation:

The equation of a circle can be written as

( x-h) ^2 + ( y-k) ^2 = r^2  where ( h,k) is the center and r is the radius

( x-0) ^2 + ( y-5) ^2 = 8^2

( x) ^2 + ( y-5) ^2 = 64

Answer:

x = 1/3 and x = 1.

Step-by-step explanation:

3x^2 - 4x + 1 = 0

(3x - 1)(x - 1) = 0

The solutions are when either 3x - 1 = 0 or x - 1 = 0.

3x - 1 = 0

3x = 1

x = 1/3

x - 1 = 0

x = 1

So, x = 1/3 and x = 1.

Hope this helps!

Answer:

Step-by-step explanation:

Angles at a point add up to 360°

To find x add up all the angles and equate them to 360°

That's

168 + 123 + x = 360

291 + x = 360

x = 360 - 291

x = 69°

Hope this helps you

Answer:

x = 69

Step-by-step explanation:

The sum of a circle is 360 degrees

x+ 168+123 = 360

Combine like terms

x +291 = 360

Subtract 291 from each side

x+291-291 = 360-291

x =69

Answer:

2/xy

Step-by-step explanation:

you have to do the math but im not very sure on this

Answer:

The password is weakest if it uses a single symbol for all 7 characters.

The strength of password increases with an increase in the number of symbols.

There are 7 possible symbol options per character to produce a password of strength of 7 bits.

Step-by-step explanation:

The password strength is determined by the usage of symbols and upper case and lower case letters along with a numeric character. The strength of password increases when different symbols are used. It is considered as weak password if only single symbol is used for all the 7 characters. The strong passwords are not easy to break and decode.

Answer:

The three correct options are:

The password is weakest if it uses a single symbol for all 7 characters.

The password is stronger with an increase in the number of symbols.

There are 2 possible symbol options per character to produce a password of strength of 7 bits.

Answer:

13/25

Step-by-step explanation:

The total number of people is 20 + 6 + 17 + 7 = 50.

Of these, the number that have brown or green eyes is 20 + 6 = 26.

So the probability is 26/50, which reduces to 13/25.

The probability that a person chosen at random from this group has brown or green eyes is; 13/25

From the given data values, we can deduce that;

Total number of people = 20 + 6 + 17 + 7 = 50.

Now, the total number of people that have brown or green eyes is;

Total(brown or green eyes) = 20 + 6 = 26.

Thus, the probability that a person chosen at random from this group has brown or green eyes is;

P(brown or green eyes) = 26/50 =  13/25.

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Answer:For the first circle the radius is 2cm and for the second circle the radius is 3cm,by taking the ratio of their areas:

πr^2:πR^2

π cancels out and we are left with only r^2:R^2

r=2cm and R=3cm

Therefore r^2:R^2=2^2:3^2

=4:9

The answer is 4:9

Step-by-step explanation:

Answer:

The height of the cylinder is 4 x units.

The area of the cylinder’s base is One-fourthπx2 square units

Step-by-step explanation:

Formula for volume of the cylinder:

V = r² π h

Volume of the cylinder=

πx^3

Diameter=x

Radius (r)=diameter/2

=x/2

V = r² π h

πx^3=(x/2)^2πh

πx^3=(x^2/4)πh

Divide both sides by π

x^3=(x^2/4)h

Make h the subject of the formula

h=x^3÷x^2/4

=x^3×4 / x^2

=4x^3 / x^2

=4*x*x*x / x*x

h=4x

Area of the base:

B = r² π

Recall, r=x/2

B=(x/2)^2 * π

=(x^2/4)π

=πx^2/4

=1/4(πx^2)

The area of the cylinder’s base is One-fourthπx2 square units.

Answer:

B & E

Step-by-step explanation:

Edge 2020

Answer:

[tex] s = 5.8 [/tex]

Step-by-step Explanation:

Given:

∆RST,

m < T = 17°

t = RS = 5

m < S = 20°

s = RT = ?

Apply the Law of Sines to find s

[tex] \frac{s}{sin(S)} = \frac{t}{sin(T)} [/tex]

[tex] \frac{s}{sin(20)} = \frac{5}{sin(17)} [/tex]

Multiply both sides by sin(20) to make s the subject of formula.

[tex] \frac{s}{sin(20)}*sin(20) = \frac{5}{sin(17)}*sin(20) [/tex]

[tex] s = \frac{5*sin(20)}{sin(17)} [/tex]

[tex] s = 5.8 [/tex] (to nearest tenth)

Answer:

x=4

Step-by-step explanation:

First you need to factor the equation. You can do this by multiplying the numbers by eachother so they have a denominatior of 12.

You would come out to have this...

((x+2)*4)/12 + ((2x-4)*3)/4=3

At this point you can combine the numerators over the common denominator.

((x+2)*4+(2x-4)*3)/12=3

You can now rewrite the equation into factored form.

5x-2/6=3

Multiply both sides of the equation by 6.

5x-2=18

move the terms not containing x to the right

5x=20

and divide by 5

x=4

Answer:

The slower plane is flying at 175 miles per hour and complete the trip in 10 hours

The faster plane is flying at 250 Miles per hour and complete the trip in 7 hours

Step-by-step explanation:

Let s= speed of the slower plane s+75= speed of the faster plane

The time it takes the slower plane to make the flight = 1750/s

The time it takes the faster plane to make the flight is=1750/(s+75)

The difference in these two times is 3 hours

1750/s - 1750/(s+7)=3

{(s+75) / (s+75) * (1750/s)} - {(s/s) * (1750/s+75)} =3

(1750s+131250 / s^2+75s) - (1750s/s^2+75s) =3

1750s+131,250-1750s / s^2+75d =3

131,250 / s^2+75s = 3

Cross product

131,250=3(s^2+75s)

131,250=3s^2+225s

43,750=s^2+75s

s^2+75s-43,750=0

Solve the quadratic equation

x= -b +or- √b^2-4ac / 2a

a=1

b=75

c= -43750

x= -b +or- √b^2-4ac / 2a

= -75 +or- √(75)^2 - (4)(1)(-43750) / (2)(1)

= -75 +or- √(5625) - (-175,000) / 2

= -75 +or- √180625) / 2

= -75 +or- 425 / 2

x= -75 + 425/2 OR -75- 425/2

=350/2 OR -500/2

x=175 OR -250

We will ignore the negative sign because the planes are not flying Backward

The slower plane is flying at 175 miles per hour and complete the trip in 1750/175= 10 hours

The faster plane is flying at 250 Miles per hour and complete the trip in 1750/250= 7 hours

Answer:

[tex]\large \boxed{X = 4}[/tex]

Step-by-step explanation:

5/2.5 = X/2

To solve a proportion, use the following equation:

(numerator * opposite denominator) =  (numerator * opposite denominator)

Substitute in given numbers

(5 * 2) = (X * 2.5)

Multiply to simplify

10 = 2.5X

Divide both sides of this equation by 2.5

[tex]\large \boxed{X = 4}[/tex]

Hope this helps :)

===========================

Work Shown:

Plug in f(x) = 37. Solve for x. Use logarithms.

f(x) = 20(1.05)^x

37 = 20(1.05)^x

20(1.05)^x = 37

1.05^x = 37/20

1.05^x = 1.85

log( 1.05^x ) = log( 1.85 )

x*log( 1.05 ) = log( 1.85 )

x = log( 1.85 )/log( 1.05 )

x = 12.6088044498867

Round up to the nearest whole number to get x = 13.

In the year 2013, sales exceed 37 million.

Answer:

see below

Step-by-step explanation:

Part A

We can shift f(x) to the left or we can shift f(x) up to make it become g(x)

Part B

y = f(x + k)  k > 0 moves it left

Using the point ( 2,8) for f(x) and ( 0,8) for g(x)

k is 2 units

g(x) = f(x+2)

y = f(x) + k  k > 0 moves it up

Using the point ( 0,-2) for f(x) and ( 0,8) for g(x)

The difference between -2 and 8 is 10

k = 10

g(x) = f(x) + 10

Part C

for the shift to the left    g(x) = f(x+2)

for the shift up g(x) = f(x) + 10

Answer:

c) 100

Step-by-step explanation:

This is the best choice because the number is not too low or too high. He will get an accurate probability.

Answer:

25

Step-by-step explanation:

let his age be x, then

5 years ago his age was x - 5 and in 5 years will be x + 5 , thus

(x - 5)(x + 5) = 600 ← expand factors using FOIL

x² - 25 = 600 ( add 25 to both sides )

x² = 625 ( take the square root of both sides )

x = [tex]\sqrt{625}[/tex] = 25

Answer:

[tex]\boxed{Age \ of \ man = 25 \ years}[/tex]

Step-by-step explanation:

Let the age be x

Then, the given condition is:

(x-5)(x+5) = 600     [ x-5 for age 5 years ago and x+5 for age 5 years after ]

Using Formula [tex](a+b)(a-b) = a^2-b^2[/tex]

[tex]x^2-25 = 600[/tex]

Adding 25 to both sides

[tex]x^2 = 600+25[/tex]

[tex]x^2 = 625[/tex]

Taking sqrt on both sides

[tex]x = 25[/tex] years

Answer:

Jackson's distance from the finish line after x minutes will be given as;

since from the statements we know that x represents the number of minutes he had run, for us to be able to calculate his  distance from the finish line we simply solve the problem mathematically as follows;

x=80-8y

Step-by-step explanation:

from the initial representation we have x+8y=80,

from the preliminary statement we know x to be the number of minutes from the start of the race to the current point Jackson.

so we assume that y in the equation represents the number of distance covered by the x minutes in miles.

that is how we end up with ;

x=80-8y.

Answer:

Step-by-step explanation:

First, we can find the measures of center for each group.

Group A

Mode: 1

Median: (1 + 2) / 2 = 3 / 2 = 1.5

Mean: (1 * 5 + 2 * 4 + 3) / 10 = (5 + 8 + 3) / 10 = 16 / 10 = 1.6

Group B

Mode: 3

Median: 92 + 3) / 2 = 5 / 2 = 2.5

Mean: (1 * 3 + 2 * 2 + 3 * 4 + 5) / 10 = (3 + 4 + 12 + 5) / 10 = 24 / 10 = 2.4

From here, we can see that...

Hope this helps!

Answer:

ABC

Step-by-step explanation:

Answer:

C.28

Step-by-step explanation:

It gives you 2 sides.

One of them is 8.

The other one is 12 but the 12 is divided by 2 which is 6.

Since it is a parallelogram there is the same measurements on the opposite sides.

So finally you get 6+6+8+8= 28

The perimeter of parallelogram AFCB is C. 28

With the purpose to discover the perimeter or distance around the rectangle, we want to add up all four side lengths. this can be performed efficiently by using truly including the duration and the width, after which multiplying this sum by means of when you consider that there are of every facet length.

The Perimeter is the gap around the item. for instance, your own home has a fenced backyard. the perimeter is the length of the fence. If the yard is 50 toes × 50 feet your fence is 2 hundred feet long.

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Answer:

3,896 have signed up from other countries

Step-by-step explanation:

In this problem we are required to calculate the number of signups from other countries.

well, since we know the total sign ups to be 3,922

And also we know that 26 out of the total signed up from the USA

This means that the sign ups from other countries will be

3,922-26=3,896

31

because 15 +16 :31

[tex]. = y1 = \times [/tex]

Answer:

63 kids

Step-by-step explanation:

We can add up the number of students who went home sick, hiked, and swam to find the total amount of people.

[tex]4+18+41 = 63[/tex]

Therefore, 63 kids started their day at Camp Sunshine.

I get that feeling I oversimplified this one, let me know if I did. I'm not sure if this is right.

Answer:

63 kids

Step-by-step explanation:

We know that there are some kids who went home sick, some went hiking and some went swimming.

The total number of kids that started the day at Camp Sunshine can be found by adding the number who went home sick, went hiking and went swimming.

sick + hiking + swimming

4 went home sick, 18 went hiking and 41 went swimming.

4+ 18 + 41

Add the numbers together

22+ 41

63

63 kids started the day at Camp Sunshine.