how would you solve 4x - 3y = 78 2x + 3y = 48 by elimination

Answer:

Step-by-step explanation:

Answer:

Probability that a student who passed the test did not  complete the homework = 0.07

Step-by-step explanation:

Given:

Total number of students = 28

Number of students who passed the test = 18

Number of students who completed  the assignment = 23

Number of students who passed the test and also completed the  assignment = 16

To find: probability that a student who passed the test did not  complete the homework

Solution:

Probability refers to chances of occurrence of some event.

Probability = number of favorable outcomes/total number of outcomes

Let A denotes the event that students passed the test and B denotes the event that students completed  the assignment

P(A only) = [tex]P(A)-P(A\cap B)[/tex]

Here,

[tex]P(A)=\frac{18}{28}\,,\,P(A\cap B)=\frac{16}{28}[/tex]

So,

[tex]P(A\,\,only)=\frac{18}{28}-\frac{16}{28}=\frac{2}{28}=\frac{1}{14}=0.07[/tex]

Therefore,

probability that a student who passed the test did not  complete the homework = 0.07

Answer:

2/9

Step-by-step explanation:

Answer: 9 on the x axis  and 18 on the y axis

Answer:

[tex]\mathrm{Ellipse\:with\:center}\:\left(h,\:k\right)=\left(\frac{3}{2},\:-3\right),\:\:\mathrm{semi-major\:axis}\:b=6,\:\:\mathrm{semi-minor\:axis}\:a=3[/tex]

Step-by-step explanation:

[tex]\left(2x-3\right)^2+\left(y+3\right)^2=36\\\frac{\left(x-h\right)^2}{a^2}+\frac{\left(y-k\right)^2}{b^2}=1\:\mathrm{is\:the\:ellipse\:standard\:equation}\\\mathrm{with\:center}\:\left(h,\:k\right)\:\mathrm{and\:}a,\:b\mathrm{\:are\:the\:semi-major\:and\:semi-minor\:axes}\\\mathrm{Rewrite}\:\left(2x-3\right)^2+\left(y+3\right)^2=36\:\mathrm{in\:the\:form\:of\:the\:standard\:ellipse\:equation}\\\left(2x-3\right)^2+\left(y+3\right)^2=36\\\mathrm{Rewrite\:as}\\\left(2x-3\right)^2+\left(y+3\right)^2-36=0[/tex]

[tex]\mathrm{Simplify}\:\left(2x-3\right)^2+\left(y+3\right)^2-36:\quad 4x^2-12x+y^2+6y-18\\4x^2-12x+y^2+6y-18=0\\\mathrm{Add\:}18\mathrm{\:to\:both\:sides}\\4x^2-12x+y^2+6y=18\\Factor\:out\:coefficient\:of\:square\:terms\\4\left(x^2-3x\right)+\left(y^2+6y\right)=18\\\mathrm{Divide\:by\:coefficient\:of\:square\:terms:\:}4\\\left(x^2-3x\right)+\frac{1}{4}\left(y^2+6y\right)=\frac{9}{2}\\\mathrm{Divide\:by\:coefficient\:of\:square\:terms:\:}1[/tex]

[tex]\frac{1}{1}\left(x^2-3x\right)+\frac{1}{4}\left(y^2+6y\right)=\frac{9}{2}\\\mathrm{Convert}\:x\:\mathrm{to\:square\:form}\\\frac{1}{1}\left(x^2-3x+\frac{9}{4}\right)+\frac{1}{4}\left(y^2+6y\right)=\frac{9}{2}+\frac{1}{1}\left(\frac{9}{4}\right)\\\mathrm{Convert\:to\:square\:form}\\\frac{1}{1}\left(x-\frac{3}{2}\right)^2+\frac{1}{4}\left(y^2+6y\right)=\frac{9}{2}+\frac{1}{1}\left(\frac{9}{4}\right)\\\mathrm{Convert}\:y\:\mathrm{to\:square\:form}[/tex]

[tex]\frac{1}{1}\left(x-\frac{3}{2}\right)^2+\frac{1}{4}\left(y^2+6y+9\right)=\frac{9}{2}+\frac{1}{1}\left(\frac{9}{4}\right)+\frac{1}{4}\left(9\right)\\\mathrm{Convert\:to\:square\:form}\\\frac{1}{1}\left(x-\frac{3}{2}\right)^2+\frac{1}{4}\left(y+3\right)^2=\frac{9}{2}+\frac{1}{1}\left(\frac{9}{4}\right)+\frac{1}{4}\left(9\right)\\\mathrm{Refine\:}\frac{9}{2}+\frac{1}{1}\left(\frac{9}{4}\right)+\frac{1}{4}\left(9\right)\\\frac{1}{1}\left(x-\frac{3}{2}\right)^2+\frac{1}{4}\left(y+3\right)^2=9[/tex]

[tex]\mathrm{Divide\:by}\:9\\\frac{\left(x-\frac{3}{2}\right)^2}{9}+\frac{\left(y+3\right)^2}{36}=1\\\mathrm{Rewrite\:in\:standard\:form}\\\frac{\left(x-\frac{3}{2}\right)^2}{3^2}+\frac{\left(y-\left(-3\right)\right)^2}{6^2}=1\\\mathrm{Therefore\:ellipse\:properties\:are:}\\\left(h,\:k\right)=\left(\frac{3}{2},\:-3\right),\:a=3,\:b=6\\b>a\:\mathrm{therefore}\:b\:\mathrm{is\:semi-major\:axis\:and}\:a\:\mathrm{is\:semi-minor\:axis}[/tex]

[tex]\mathrm{Ellipse\:with\:center}\:\left(h,\:k\right)=\left(\frac{3}{2},\:-3\right),\:\:\mathrm{semi-major\:axis}\:b=6,\:\:\mathrm{semi-minor\:axis}\:a=3[/tex]

Answer:400 yards

Step-by-step explanation:Let L represents the position of library, R represents the restaurant and M represents the museum,

Since, By the given diagram,

∠MLR = 90°,

LR = 300 yd,

RM = 500 yd,

So, by the Pythagoras theorem,

By substituting the values,

Hence, the distance between library and museum is 400 yards.

Answer: 1/16

Step-by-step explanation: It's important to understand that the two spins are called independent events because the outcome of the first spin does not affect the outcome of the second spin.

To find the probability of independent events, we first find the probability of each event, then we multiply the probabilities together.

Since there is one 4 on the spinner and four possible outcomes, each of which is equally likely, the probability of spinning a 4 is 1/4.

This mens that 1/4 is the probability of

getting a 4 on the second spin too.

Now we multiply.

1/4 x 1/4 gives us 1/16.

So the probability of spinning a 4 twice is 1/16.

Answer: 6 hours

Step-by-step explanation:divide 234 by 13 234/13 you get

18 divide 108 by 18 and then you get

6

Answer:

$66

Step-by-step explanation:

that's the answer I thinkkkk

Answer:

scalene

Step-by-step explanation:

all sides have different measurements

Answer:

(x,y) -> (-y,x)

Step-by-step explanation:

You get the coordinates of the image provided and apply them to the rule so...

(-3,1) to (-1,-3)

(-2,-4) to (-4,2)

(-4,-4) to (4,-4)

Then, connect the points.

PLZ MARK BRAINLIEST!!!

Answer:One pint and 16 quarts or one pint and four gallons

Step-by-step explanation:there are two pints in a quart and there are 4 quarts in a gallon.

Answer:

Slope is undefined

Step-by-step explanation:

Slope is calculated by [tex]\frac{y1-y2}{x1-x2}[/tex] so now you put the points (-10,4) and (-10,8) into that.

Since both x values are the same you can tell that the line is a vertial line meaning the slope is undefined.

Answer: 39

Step-by-step explanation:

Total number of orange trees = 1521

Note :

There are as many trees in a row as there are rows in the garden.

Therefore :

Number of rows in the garden = number of trees in a row

Let the number of rows in the garden = y

Hence, the number of trees in a row also = y

Total number of trees in the garden = number of trees in a row × number of rows in the garden

Total number of trees in the garden = y × y

1521 = y × y ; 1521 = y^2

y = √1521

y = 39

Answer:

Step-by-step explanation:

Total number of orange trees = 1521

Note :

There are as many trees in a row as there are rows in the garden.

Therefore :

Number of rows in the garden = number of trees in a row

Let the no.f trees in each row =x

let the no.f rows=x

therefore total no.f trees =x raised to 2

x raised to 2 =1521

therefore x=39

there fore no.of rows =39

Answer:

Find the value of x the value is x=4

3x4=12

12-5=7

Step-by-step explanation:

The solution of the equation is [tex]x=4[/tex]

The given equation is,[tex]3x-5=7[/tex]

To solve above equation, isolate variable x on one side and constant numbers on other side of equation.

[tex]3x-5=7\\\\3x=7+5\\\\3x=12\\\\x=12/3\\\\x=4[/tex]

Learn more about the linear equation here:

https://brainly.com/question/14323743

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It would be B, C and D

All of them simplify to 2 : 5

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Answer:

B, C, D

Step-by-step explanation:

So just simplify the ratio first:

Divide by 2 | 4 : 10

Divide by 2 | 2 : 5

Multiply the ratio next:

Multiply by 3 | 24 : 60

Answer:

x=33

Step-by-step explanation:

because DC and AB are the same, x must be 33.

Answer:

They are supplementary angles.

Step-by-step explanation:

161+ 19 = 180

When two angles add to 180 degrees, they  are supplementary angles

Answer:

Supplementary Angles

Step-by-step explanation:

They add to 180 degrees

Answer:

hope this works

Step-by-step explanation:

A1-x= 5

A2-x= 9

A3-x= 4

A4-x= -5

B1-x= 11

B2-x= 21

B3-x= 2

B4-x= -8

C1-x= 6

C2-x= 7

C3-x= 22/3 or 7.33

C4-x= 4.5

D1-x= 14

D2-x= 30

D3-x= 24

D4-x= 108

1) r= 10

2) n= -4

3) p= -9

4) r= 6

5) k= -4

6) n= 15

Answer: Normal distribution or Gaussian distribution.

Step-by-step explanation:

Normal distribution, this means that we will see something that remaind us to a Gaussian Bell (a curved shape that goes to zero in the extremes and has a maximum in the middle)

If we have some biased points in one side, suppose left, we will have a skewed distribution, that has some important differences with the normal distribution at the time of describe it mathematically.

Answer:

The second one; x²+7x+12

Step-by-step explanation:

So, since the beginning lengths of the square is x and x, the area of the square is x².

But then, you add 3 to one length, so that side is now (x+3), and then you add 4 to the width, so that is now (x+4).

Finally, you would multiply them together to get the equation you would use to find the new area.

For this, you would cross-multiply everything together; the x in the length by the x in the width, the x in the length by the 4 in the width, the 3 in the length by the x in the width, and then the 3 in the length by the 4 in the width. Now, all you have to do is add all of these together to get your answer.

Here's the work:

[tex](x+3)(x+4)\\x^{2}+3x+4x+12\\x^{2}+7x+12[/tex]

Answer:

Step-by-step explanation:

In the image attaches you can observe the Free Throws Made and the Free Throws Attempted.

Team Rockets Made 8 Free Throws, and Attempted 24, which give a ratio of

[tex]R=\frac{8}{24}=\frac{1}{3}[/tex]

Team Turbos Made 16 free throws and attempted 36, which give a ratio of

[tex]T=\frac{16}{36}=\frac{8}{18} =\frac{4}{9}[/tex]

As you can see, the ratio are diferent.

Therefore, the ratios are not equivalent.

Answer:

no

Step-by-step explanation:

Answer:

[tex]-\frac{4}{5}[/tex]

Step-by-step explanation:

Slope is: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (0,3) and (5,-1).

[tex]m=\frac{-1-3}{5-0}=\frac{-4}{5} =-\frac{4}{5}[/tex]

The slope is -4/5.

Answer:

y=mx+b

y=8/10x+(0,3)

Step-by-step explanation:

hope this helps

Answer:

[tex]=2/4=1/2[/tex]

Step-by-step explanation:

Answer:

Heyyy. Glad to see someone from malaysia taking add maths hete. Hope this helps

Answer:

5.66 units.

Step-by-step explanation:

cos 25 =- adjacent side / hypotenuse

cos 25 = 4 / AB

AB  cos 45 = 4

AB = 4 / cos 45

= 5.66.

Answer:

x = 10, y = 20

Step-by-step explanation:

Because this is a geometric sequence, we'll call the rate of change z. Because 40 is 3 terms away from 5, we can write 5 * z * z * z = 5z³ = 40.

z³ = 8 → z = 2

Now, we simply multiply 5 by 2 to get x, which is 10, and then we multiply x by 2 to get 10 * 2 = 20 for y. Hope this helps!

Answer:

All units for volume are units cubed. units^3

Answer:81

Step-by-step explanation:

9•9 = 81

The proofing that ABCD is a parallelogram can be done through the parallelogram side theorem.

It should be noted that the parallelogram side theorem simply means that the opposite sides of a parallelogram are equal and also parallel to each other.

Here, BCA and DAC are alternate interior angles. Also, AC denotes the reflexive property. Therefore, BC is the same as DA as they're equal.

Learn more about parallelogram on:

brainly.com/question/20526916

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Answer:

the answers are

option

A

B

E

Step-by-step explanation:

A. as when we do 40+5=45, so 6 x 45

B. as 4+2=6,so 6 x 45

E.as 20+25=45,so 6 x 45