Mary bought more than 72 pencils to distribute to children at an orphanage. She packs these pencils in gift boxes. If she packs 4 pencils each into x gift boxes, the inequality that represents this situation is . The simplified form of the inequality is .

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.

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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:

x=4/3

Step-by-step explanation:

transpose 3 to the lhs

hope this helps

plzz mark me brainliest

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!

Add the two numbers together to find total votes:

3,400 + 15,600 = 19,000 total votes.

Divide votes for by total votes:

3,400 / 19,000 = 0.1789

Multiply by 100:

0.1789 x 100 = 17.89% voted for it.

Subtract the percent that votes for it from 100%

100% - 17.89% = 82.11% voted against it.

The answers probably need to be rounded, so 18% for, and 82% against.

Answer:

The value of y is 8.

Step-by-step explanation:

In order to find the value of y, you have to put in x = 0 into the equation :

[tex]y = {x}^{2} - 6x + 8[/tex]

Let x = 0,

[tex]y = {0}^{2} - 6(0) + 8[/tex]

[tex]y = 8[/tex]

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:

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: 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:

20 weeks.

Step-by-step explanation:

The equations of money deposits of each bankholder as a function of time are, respectively:

Jim

[tex]p_{1} = 1250 + 27.50\cdot t\\[/tex]

Sally

[tex]p_{2} = 1400 +20\cdot t[/tex]

The number of weeks so that both have the same amount of money is:

[tex]1250 + 27.50\cdot t = 1400 + 20\cdot t[/tex]

[tex]7.50\cdot t = 150[/tex]

[tex]t = 20[/tex]

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:

..............................

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:

B. 320 inches cubed

Step-by-step explanation:

A pyramid's volume is denoted by: V = (1/3) * B * h, where B is the base area and h is the height.

Here, the base is a rectangle with dimensions 10 inches by 8 inches. The area of a rectangle is denoted by: A = lw, where l is the length and w is the width. The length is 8 and the width is 10, so plug these in:

A = lw

A = 8 * 10 = 80

So, we know that B = 80.

We are also given that the height is h = 12, so plug these values into the volume formula:

V = (1/3) * B * h

V = (1/3) * 80 * 12 = 320

The answer is thus B.

Answer:b

Step-by-step explanation:

Answer:

range:20 mode:95 median:90

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:

32.44 quilts will be sewn

Step-by-step explanation:

811/25 = 32.44

Answer:

32 quilts with .44 left over

Step-by-step explanation:

This answer is assuming you are trying to find how many quilts you can make

Answer:

1/12 ( -x -4 )

Step-by-step explanation:

1/12 ( -x - 4 )

1/12(-x) = -1/12x  Multiply 1/12 and -x to get -1/12x.

1/12 x -4 = -1/3  Multiply 1/12 and -4 to get -1/3.

So, therefore, the expression 1/12 ( -x - 4 ) is equivalent to -1/12x - 1/3.

6x3y5

—————

5

Step-by-step explanation:

Answer:

The value if x is 0.9875.

Step-by-step explanation:

First, we have to get rid of brackets by expanding :

[tex]0.5(2x + \frac{3}{4} ) - \frac{1}{3} (0.1 + x) = 1[/tex]

[tex]0.5(2x) + 0.5( \frac{3}{4} ) - \frac{1}{3} (0.1) - \frac{1}{3} (x) = 1[/tex]

[tex]x + \frac{3}{8} - \frac{1}{30} - \frac{1}{3} x = 1[/tex]

Next you have to collect like terms :

[tex]x - \frac{1}{3} x + \frac{3}{8} - \frac{1}{30} = 1[/tex]

[tex] \frac{2}{3} x + \frac{41}{120} = 1[/tex]

Lastly, you can solve x :

[tex] \frac{2}{3} x = 1 - \frac{41}{120} [/tex]

[tex] \frac{2}{3} x = \frac{79}{120} [/tex]

[tex]x = \frac{79}{120} \div \frac{2}{3} [/tex]

[tex]x = \frac{79}{80} [/tex]

[tex] x = 0.9875[/tex]

Answer: 90%

Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.

So to write 9/10 as a percent, we need to find a fraction

equivalent to 9/10 that has a 100 in the denominator.

We can do this by setting up a proportion.

So we have [tex]\frac{9}{10} = \frac{n}{100}[/tex].

Now, we can use cross-products to find the missing value.

So we have (9)(100) which is 900 is equal to (10)(n) or 10n.

So we have 900 = 10n.

Next, dividing both sides of the equation by 10, we have 90 = n.

So, 9/10 is equal to 90/100 or 90%.

Answer:

90%

Step-by-step explanation:

9/10 times 100 is 90%

I also got it right in Khan. Good luck! Have a nice day :)

Answer:

the answer is 12 degrees

The measure of angle ACB when the secant BC and the tangent AC intersect is 12°

When a secant and a tangent meet outside the circle, thwe product of the length of the secant and its external segment equals the square of the length of the tangent segment.

Therefore,

arc XA = 2(64) = 128 degrees.

Hence,

m∠C = 1 / 2 (152 - 128)

m∠C = 1 / 2 (24)

m∠ACB = 12°

Therefore, angle ACB is 12 degrees.

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Answer:

6

Step-by-step explanation:

Answer:

C. 6

Step-by-step explanation:

9 tickets ---  $12

x tickets  --- $ 8

9/12 = x/8

x =8*9/12= 6

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:

Step-by-step explanation: multiply the number of books Martina read 3 times.

Answer:

mutpliy the number of books martina read by 3

Step-by-step explanation:

Answer:

$66

Step-by-step explanation:

that's the answer I thinkkkk

The original prize of the computer is £537.63.

The given parameters:

The original prize of the computer is calculated as follows;

Let the original prize of the computer = x

y = x(1 - 0.07)

500 = x(1 - 0.07)

500 = 0.93x

divide both sides by 0.93

[tex]x = \frac{500}{0.93} \\\\x = 537.63[/tex]

Thus, the original prize of the computer is £537.63.

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Answer:

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

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation: