can ya'll help me find x and y and how to do it. Thanks

Answer:

3x + 2y = 12.

Step-by-step explanation:

Two conspicuous points on the graph are at (0, 6), and (4, 0).

That means the slope of the line is (6 - 0) / (0 - 4) = 6 / -4 = -3 / 2.

The intercept of the line is at (0, 6).

This means that the equation of the line is y = -3/2x + 6.

y = -3/2x + 6

Add 3/2x to both sides

3/2x + y = 6

Multiply all terms by 2

3x + 2y = 12

Hope this helps!

Answer: 300 mi.

Step-by-step explanation:

Let t be the time taken to drive to the park (at 60 mph)

Let t + 1 be the time taken to drive home from the part (at 50 mph)

Distance to the park = 60t

Distance from the park = 50(t + 1)

Obviously the distances should be the same so equate them.

60t = 50(t + 1)

60t = 50t + 50

10t = 50

t = 50/10

t = 5 hours

Now figure the distance.  You can use either equation for the distance to or from the park:

60t = 60(5) = 300 miles

or

50(t+1) = 50(6) = 300 miles

The distance to or from the park will be 300 miles.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let assume t be the time taken to drive to the park (at 60 mph).

Let assume t + 1 be the time taken to drive home from the part (at 50 mph)

The Distance to the park = 60t

The Distance from the park = 50(t + 1)

Obviously the distances should be the same, so equate them;

60t = 50(t + 1)

60t = 50t + 50

10t = 50

t = 50/10

t = 5 hours

Now figure the distance. We can use either equation for the distance to or from the park:

60t = 60(5) = 300 miles

50(t+1) = 50(6) = 300 miles

Therefore, the distance to or from the park will be 300 miles.

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Answer:

Line y = −x + 4 intersects the line y = 3x + 3.

Step-by-step explanation:

Please Help! Which description best describes the solution to the following system of equations?

y = −x + 4

y = 3x + 3

Line y = −x + 4 intersects the line y = 3x + 3.

This is the response because the solution to a system of two equations is represented by the intersection of the equations of the two lines/curves.

Lines y = −x + 4 and y = 3x + 3 intersect the x-axis.

Lines y = −x + 4 and y = 3x + 3 intersect the y-axis.

Line y = −x + 4 intersects the origin.

Answer:

(0-5)=-5

-5-5 = 0

x=0

Step-by-step explanation:

Answer:

29%

Step-by-step explanation:

48-34 = 14 dollar saving

14/48 = 29.17 % = 29% saving

Answer:

29%

Step-by-step explanation:

48-34= 14 dollar saving

14/48 = 29.17% = 29% saving

Answer:

(4,7.5)

Step-by-step explanation:

Reflect (-4,7.5) at the y-axis

Answer:

(B) 3/5

Step-by-step explanation:

In the figure above, both circles have their centers at point O. Point A lies on segment OB. If OA = 3 and AB = 2, what is the ratio of the circumference of the smaller circle to the circumference of the larger circle?

(A) 2/3

(B) 3/5

(C) 9/16

(D) 1/2

(E) 4/9

Answer: The circumference of a circle is the perimeter of the circle, that is it is the arc length of the circle. The circumference of a circle is given as:

Circumference = 2 π r.   Where r is the radius of the circle.

The radius of the bigger circle = length of OB = OA + AB = 3 + 2 = 5

Circumference of the bigger circle = 2 π (5) = 10π

The radius of the smaller circle = length of OA = 3

Circumference of the smaller circle = 2 π (3) = 6π

The ratio of the circumference of the smaller circle to the circumference of the larger circle = circumference of the smaller circle / circumference of the larger circle = 6π / 10π = 3/5

Answer:

[tex]\boxed{44}[/tex]

Step-by-step explanation:

[tex][-5+(-7)]^2-(7+3)^2[/tex]

Resolving Parenthesis

[tex](-5-7)^2-(10)^2\\(-12)^2-100\\144-100[/tex]

=> 44

Answer:

[tex]\boxed{44}[/tex]

Step-by-step explanation:

[tex][-5+(-7)]^2-(7+3)^2[/tex]

Solve for brackets first.

[tex][-12]^2-(10)^2[/tex]

Solve the exponent or power.

[tex]144-100[/tex]

Subtract the numbers.

[tex]=44[/tex]

Hey there! :)

Answer:

x = -5.

Step-by-step explanation:

Solving for x from the equation:

[tex]\frac{2}{3}x - \frac{1}{2} = \frac{1}{3} +\frac{5}{6}x[/tex]

Begin by creating a common denominator for the terms involving x as well as the constants:

[tex]\frac{4}{6}x - \frac{3}{6} = \frac{2}{6} +\frac{5}{6}x[/tex]

Now that each term has a common denominator, we can begin solving for x by isolating the variable:

Subtract 5/6x from both sides:

[tex]\frac{4}{6}x-\frac{5}{6}x - \frac{3}{6} = \frac{2}{6}[/tex]

[tex]-\frac{1}{6}x - \frac{3}{6} = \frac{2}{6}[/tex]

Add 3/6 to both sides:

[tex]-\frac{1}{6}x = \frac{5}{6}[/tex]

Divide -1/6 from both sides. (Multiply by the reciprocal, or -6)

[tex]-\frac{1}{6}x(-6) = \frac{5}{6}(-6)[/tex]

x = -5.

Answer:

(a) P(none) = 0.0488

(b) P(at least one) = 0.9512

(c) P(at most one) = 0.2186

(d) No, it doesn't appear that the 24% share value is wrong.

Step-by-step explanation:

We are given that among the TV sets in use, 24% were tuned to Lett3rs.

A pilot survey begins with 11 households have TV sets in use at the time of a Lett3rs broadcast.

Let X = Number of households that are tuned to Lett3rs

The above situation can be represented through binomial distribution;

[tex]P(X = r)=\binom{n}{r}\times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,......[/tex]

where, n = number of samples (trials) taken = 11 households

           r = number of success

           p = probability of success which in our question is % of  

                 households that were tuned to Lett3rs, i.e; 24%

So, X ~ Binom{n = 11, p = 0.24}

(a) The probability that none of the households are tuned to Lett3rs is given by = P(X = 0)

     P(X = 0) =  [tex]\binom{11}{0}\times 0.24^{0} \times (1-0.24)^{11-0}[/tex]

                   =  [tex]1\times 1 \times 0.76^{11}[/tex]

                   =  0.0488

(b) The probability that at least one households are tuned to Lett3rs is given by = P(X [tex]\geq[/tex] 1)

     P(X [tex]\geq[/tex] 1) = 1 - P(X = 0)

                   =  1 - 0.0488

                   =  0.9512

(b) The probability that at most one households are tuned to Lett3rs is given by = P(X [tex]\leq[/tex] 1)

     P(X [tex]\leq[/tex] 1) =  P(X = 0) + P(X = 1)

                   =  [tex]\binom{11}{0}\times 0.24^{0} \times (1-0.24)^{11-0}+\binom{11}{1}\times 0.24^{1} \times (1-0.24)^{11-1}[/tex]

                   =  [tex]1\times 1\times 0.76^{11}+11\times 0.24^{1} \times 0.76^{10}[/tex]

                   =  0.2186

No, it doesn't appear that the 24% share value is wrong because the probability that at most one household is tuned to Lett3rs is somewhere close to 24% and this probability is also not unusual as it is way more than the criteria of more than 5%.

Answer:

The distance from AD to BC is 7

Step-by-step explanation:

The information given are;

The type of inscribed quadrilateral ABCD = Isosceles trapezoid

The radius of the circle = 5

Segment AD of ABCD = 6

The median of the trapezoid ABCD = 7

Given the trapezoid theorem, the median is equal to half the length of the two bases added together, we have;

(AD + BC)/2 = 7

Which gives;

(6 + BC)/2 = 7

BC = 7×2 - 6 = 8

Therefore the distance from AD to BC is given by the distance from BC to the median line added to the distance from AD to the median line given as follows;

The distance from BC to the median = √(Radius² - (BC/2)²) = √(5² - (8/2)²) = 3

The distance from BC to the median = 3

The distance from AD to the median = √(Radius² - (AD/2)²) = √(5² - (6/2)²) = 4

Which gives;

The distance from AD to BC = 3 + 4 = 7

Answer: 69

Step-by-step explanation:

Answer:

6x^3y^2+18x^4y^3+18x^2y^5

Step-by-step explanation:

Multiply each term:

6x^3y^2+18x^4y^3+18x^2y^5

Plz mark me brainliest!!

Answer:

Step-by-step explanation:

Given data:

Circumference of the base of the cone = 24in.

Recall that circumference (in this case) is the distance round the base of the cone and from here the diameter D=12in. Radius = 6in

Surface area l = pie x radius ( slant height + radius)

= 3.142 x 6 (20 + 6)

= 3.142 x 6 (26)

= 3.142 x 156

= 490.152in^2

Answer:

384pi inches   hop it halp!!!

Step-by-step explanation:

Answer:

The correct ans is 3.

g(-2) = 2(-2) + 5

=-4 + 5 = 1

f(g(-2)) = 4 - (1)^2

= 4 - 1

=3

Step-by-step explanation:

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

Work Shown:

Let x = 0.363636...

The "36" pattern goes on forever as indicated by the three dots.

Multiply both sides by 100 to get 100x = 36.363636...

Effectively, multiplying by 100 moves the decimal point over 2 spots to the right. The "36" goes on forever here too. The key is to match up the infinite sequences of "36"s and cancel them out through subtraction

36.363636... - 0.363636... = 36

while

100x - x = 99x

So after subtracting the equations, we end up with 99x = 36

From here we solve for x by dividing both sides by 99 and reducing the fraction

99x = 36

x = 36/99

x = (9*4)/(9*11)

x = 4/11

As a check, use your calculator to find that

4/11 = 0.36363636...

so the answer is confirmed

Note: your calculator may display something like 0.3636363636364, that 4 should not be there. It's a result of rounding (due to the next digit being a 6). Keep in mind that rounding error is often a possibility when it comes to approximate calculations. The calculator only has so much memory and display space.

Answer:

The number is 72

Step-by-step explanation:

2/3*27 = 2*9 = 18

so 18 = 25%

25% = 1/4

so 1/4 = 18/?

so ? = 18*4 = 72

Answer:

x=72

Step-by-step explanation:

This is an easy equation.

2/3*27=25/100x

solve.

2/3 * 27 is 18

18=25/100x

Divide. (25/100 can be converted to 1/4

Divide 18 by 1/4x

x=72!

Cheers, I hope you can understand.

Answer:

15 ml

Step-by-step explanation:

We are told

Solution A = 15% of water

Solution B = 20% of water

Let's assume, the entire solution = 100ml

We are told that in the beaker we have 10 ml of Solution A already

Mathematically,

100 ml = 15%

10 ml = X

100ml × X = 15 × 10

X = 150/ 100

X = 1.5%

Hence in the beaker, we have 1.5% of water from Solution A

We are asked to find how many ml of solution B must be added to make the solution have 18% of water

Let y = number of ml of solution B

Hence

10 ml × 15%(0.15) = 1.5 ml of water - Equation 1

y ml × 20%( 0.20) = 0.20y ml of water ...... Equation 2

Add up the above equation

10ml + y ml ×18% (0.18) = 1.5 + 0.20y

(10 + y)(0.18) = 1.5 + 0.20y

1.8 + 0.18y = 1.5 + 0.20y

Collect like terms

1.8 - 1.5  = 0.20y - 0.18y

0.3 = 0.02y

y = 0.3/0.02

y = 15ml                              

Therefore,15mL of solution B must be added to the beaker in order to create a mixture that is 18% water

Answer:

27.8%

Step-by-step explanation:

P(male | Spanish) = P(male and Spanish) / P(Spanish)

P(male | Spanish) = 0.05 / 0.18

P(male | Spanish) = 0.278

The probability of the student being a male is 27.8%

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of sample

Given that in a certain group of students, the probability of a randomly-chosen student being male is 40%, the probability of the student studying Spanish is 18%, and the probability of the student being a male who studies Spanish is 5%.

The probability of the student being a male will be calculated as below:-

P(male | Spanish) = P(male and Spanish) / P(Spanish)

P(male | Spanish) = 0.05 / 0.18

P(male | Spanish) = 0.278

Therefore, the probability of the student being a male is 27.8%

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[tex](1-3i)(1-i)(1+i)(1+3i)=\\(1^2-(3i)^2)(1^2-i^2)=\\(1+9)(1+1)=\\10\cdot2=20[/tex]

Answer:

[tex]\huge\boxed{(1-3i)(1-i)(1+i)(1+3i)=20}[/tex]

Step-by-step explanation:

[tex](1-3i)(1-i)(1+i)(1+3i)\\\\\text{use the commutative property}\\\\=(1-3i)(1+3i)(1-i)(1+i)\\\\\text{use the associative property}\\\\=\bigg[(1-3i)(1+3i)\bigg]\bigg[(1-i)(1+i)\bigg]\\\\\text{use}\ (a-b)(a+b)=a^2-b^2\\\\=\bigg[1^2-(3i)^2\bigg]\bigg[1^2-i^2\bigg]\\\\=\bigg(1-9i^2\bigg)\bigg(1-i^2\bigg)\\\\\text{use}\ i=\sqrt{-1}\to i^2=-1\\\\=\bigg(1-9(-1)\bigg)\bigg(1-(-1)\bigg)\\\\=\bigg(1+9\bigg)\bigg(1+1\bigg)\\\\=(10)(2)\\\\=20[/tex]

Answer:

1.475

Step-by-step explanation:

Answer:

304(pi) g

Step-by-step explanation:

First we find the volume of the hollow ball. Then we find the mass using the volume and density.

Let R = exterior radius = 3 cm

Let r = interior radius = 2 cm

volume = exterior volume - interior volume

volume = (4/3)(pi)R^3 - (4/3)(pi)r^3

volume = (4/3)(pi)(R^3 - r^3)

volume = (4/3)(pi)(3^3 - 2^3) cm^3

volume = (4/3)(pi)(27 - 8) cm^3

volume = (76/3)pi cm^3

Now we use the density and the volume to find the mass.

density = mass/volume

mass = density * volume

mass = 12 g/cm^3 * (76/3)pi cm^3

mass = 304(pi) g

Answer: 304(pi) g

Answer:

m=(76π/3 )(12)=304πg

Step-by-step explanation:

volume of sphere=(4πr³)/3

V=4π(2)³/3=32π/3 of the interior

V of exterior=4π(3)³/3=36π

Volume of the whole metal =108π/332π/3=76π/3=25 1/3 π

m=V*D ( volume * density)=

m=(76π/3 )(12)=304πg

Answer:

$10.5 dollars

Step-by-step explanation:

Keep your brains.

Using the data given:

(18+4+12+8)÷4=

42÷4=

$10.5 dollars

Answer:

For the second figure

X=10

Y=30

Step-by-step explanation:

3x=(5x-20).... Alternative interior angles

3x=5x-20

20=5x-3x

20=2x

x=10

2y+4y= 180

6y=180

Y=30

Answer:

s = 25.33m

θ = 60.65°

12.37m

A = 160m^2

Step-by-step explanation:

The pyramid has a side base of 35m and a height of 22m.

side base = b = 35m

height of the pyramid = h = 22m

To calculate the slant edge of the pyramid, you first calculate the diagonal of the squared base of the pyramid.

You use the Pythagoras theorem:

[tex]d=\sqrt{(\frac{35}{2})^2+(\frac{35}{2})^2}=24.74[/tex]

With the half of the diagonal and the height, and by using again the Pythagoras theorem you can calculate the slat edge:

[tex]s=\sqrt{(\frac{24.74}{2})^2+(22)^2}=25.23[/tex]

The slant edge of the pyramid is 25.33m

The angle of the base is given by:

[tex]\theta=sin^{-1}(\frac{h}{s})=sin^{-1}(\frac{22}{25.23})=60.65\°[/tex]

The angle of the base is 60.65°

The distance between the corner of the pyramid and its center of its base is half of the diagonal, which is 24.74/2 = 12.37m

The area of one side of the pyramid is given by the following formula:

[tex]A=\frac{(b/2)l}{2}[/tex]        (1)

l: height of the side of pyramid

then, you first calculate l by using the information about the side base and the slant.

[tex]l=\sqrt{s^2-(\frac{b}{2}^2)}=\sqrt{(25.33)^2-(\frac{35}{2})^2}\\\\l=18.31m[/tex]

Next, you replace the values of l and b in the equation (1):

[tex]A=\frac{(35/2)(18.31)}{2}=160m^2[/tex]

The area of one aside of the pyramid is 160m^2

Answer:

The distance between the plane and the observer is 16,659.18ft

Step-by-step explanation:

Complete question:

(An observer (O) spots a plane flying at a 42° angle to his horizontal line of sight. If the plane is flying at an altitude of 15,000 ft, what is the distance between the observer and the plane)

Hello,

The question above requires us to find the distance between an observer and a plane. This is very much easy because we are given the angle at which the observer makes with the plane. To solve this question correctly, we need a pictorial representation of the situation.

See attached document for better illustration

In the diagram, we need to find x.

Since the observer and the plane makes a right angled triangle with the distance apart them, we can use SOHCAHTOA

In this case, we have to use Tangent

Tanθ = opposite/ adjacent

θ = 42°

Opposite = 15,000

Adjacent = x

Tan42 = 15000 / x

x = 15000 / tan42

x = 15000 / 0.90

x = 16,659.18ft

The horizontal distance between the observer and the plane is 16,659.18ft

Answer:

I am not too sure but I know it is not 10,035, or 16,648, nor 20,188 because I put that and it wasn’t right so the last option would be.

22,417

Answer:

I think its 90

Step-by-step explanation:

Answer:

E=90

Step-by-step explanation:

because EFG=JKL                                                                                                                                          E=J                      F=K                   G=L

Answer:

706.86 cm

Step-by-step explanation:

=4pi(r^2)

=12.56(r^2)

=12.56(7.5^2)

=12.56(56.25)

=706.86

Answer:

71°

Step-by-step explanation:

m∠1 = (SR + TU)/2

m∠1 = 63°

SR = 55°

substitute into the equation

63° =(55° - TU) / 2

TU = (63° * 2) - 55°

TU = 71°