Jamila wrote the numbers 1-100 and placed them in a bag. If she selects a number without looking, what is the probability that the number is divisible by 5? Input your answer as a decimal or fraction.

Answer:

1) AD=BC(corresponding parts of congruent triangles)

2)The value of x and y are 65 ° and 77.5° respectively

Step-by-step explanation:

1)

Given : AD||BC

AC bisects BD

So, AE=EC and BE=ED

We need to prove AD = BC

In ΔAED and ΔBEC

AE=EC (Given)

[tex]\angle AED = \angel BEC[/tex] ( Vertically opposite angles)

BE=ED (Given)

So, ΔAED ≅ ΔBEC (By SAS)

So, AD=BC(corresponding parts of congruent triangles)

Hence Proved

2)

Refer the attached figure

[tex]\angle ABC = 90^{\circ}[/tex]

In ΔDBC

BC=DC (Given)

So,[tex]\angle CDB=\angle DBC[/tex](Opposite angles of equal sides are equal)

So,[tex]\angle CDB=\angle DBC=x[/tex]

So,[tex]\angle CDB+\angle DBC+\angle BCD = 180^{\circ}[/tex] (Angle sum property)

x+x+50=180

2x+50=180

2x=130

x=65

So,[tex]\angle CDB=\angle DBC=x = 65^{\circ}[/tex]

Now,

[tex]\angle ABC = 90^{\circ}\\\angle ABC=\angle ABD+\angle DBC=\angle ABD+x=90[/tex]

So,[tex]\angle ABD=90-x=90-65=25^{\circ}[/tex]

In ΔABD

AB = BD (Given)

So,[tex]\angle BAD=\angle BDA[/tex](Opposite angles of equal sides are equal)

So,[tex]\angle BAD=\angle BDA=y[/tex]

So,[tex]\angle BAD+\angle BDA+\angle ABD = 180^{\circ}[/tex](Angle Sum property)

y+y+25=180

2y=180-25

2y=155

y=77.5

So, The value of x and y are 65 ° and 77.5° respectively

Answer:

2/9

Step-by-step explanation:

We want  blue green in any order.  That means BG  or GB

There are 9 possibilities

P ( BG or GB ) = number of BG or GB's / total

                       = 2/9

Answer:

I believe it's 220 in.

Step-by-step explanation:

area = base 1 + base 2 divided by 2 times the height

Answer:

-10a4 + 17d4s2 - 6s2

Step-by-step explanation:

On Edgenuity

Answer:

48 degrees for A and 7 12 degrees for B

Step-by-step explanation:

As you can see in the first picture, C and x share the same angle and the angle is 48 degrees. On the second picture the answer is 12 because 3*4=12.

Answer:

196,961,284

3.5

Step-by-step explanation:

4pi r-squared=

4xpix3959x3959=

196,961,284

196961819/55734819=

3.5

Answer:

1)

[tex]\text{ Slope = -3}[/tex]

2)

[tex]y+4=-\frac{7}{8}(x-7)[/tex]

3)

[tex]y=-\frac{7}{8}x+\frac{17}{8}[/tex]

Step-by-step explanation:

We want to write the equation of the line that passes through the points (7, -4) and (-1, 3) first in point-slope form and then in slope-intercept form.

1)

First and foremost, we will need to find the slope of the line. So, we can use the slope-formula:

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

Let (7, -4) be (x₁, y₁) and let (-1, 3) be (x₂, y₂). Substitute them into our slope formula. This yields:

[tex]m=\frac{3-(-4)}{-1-7}[/tex]

Subtract. So, our slope is:

[tex]m=\frac{7}{-8}=-7/8[/tex]

2)

Now, let's use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

We will substitute -7/8 for our slope m. We will also use the point (7, -4) and this will be our (x₁, y₁). So, substituting these values yield:

[tex]y-(-4)=-\frac{7}{8}(x-7)[/tex]

Simplify. So, our point-slope equation is:

[tex]y+4=-\frac{7}{8}(x-7)[/tex]

3)

Finally, we want to convert this into slope-intercept form. So, let's solve for our y.

On the right, distribute:

[tex]y+4=-\frac{7}{8}x+\frac{49}{8}[/tex]

Subtract 4 from both sides. Note that we can write 4 using a common denominator of 8, so 4 is 32/8. This yields:

[tex]y=-\frac{7}{8}x+\frac{49}{8}-\frac{32}{8}[/tex]

Subtract. So, our slope-intercept equation is:

[tex]y=-\frac{7}{8}x+\frac{17}{8}[/tex]

And we're done!

Answer: Shown Below

Step-by-step explanation:

1. -7/8

2. y+4= (-7/8)(x-7)

3. y=(-7/8)x+ (17/8)

Just did it

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

Explanation:

In math, the term "substitution" basically means "replace". Keep in mind that x is a placeholder for a number. Think of it as a box we place a number inside.

We have the items {6, 16, 24} to use as replacements for x. We only do one number at a time

Let's try x = 6

4 + x < 20

4 + 6 < 20 ... replace x with 6

10 < 20 ... this is a true statement as 10 is less than 20

So x = 6 is a solution

Let's try x = 16

4+x < 20

4+16 < 20

20 < 20 ... this is false because we can't have a number smaller than itself

Lastly, let's try x = 24

4+x < 20

4+24 < 20

28 < 20 ... also false; 28 is not smaller than 20

We've shown that x = 16 and x = 24 are not solutions. Only x = 6 is a solution from the set {6,16,24}. This is why the answer is choice B.

-----------------

Alternative method:

4+x is the same as x+4. We can add two numbers in any order we want.

x+4 < 20 solves to x < 16 after subtracting 4 from both sides. So the set of solutions is anything smaller than 16. Looking at {6,16,24} we see that the only allowed answer is x = 6.

x = 16 is not a solution because x < 16 would turn into 16 < 16, but again we can't have a number smaller than itself.

Answer:

2. x = -16       y = -10.5

3. x = 4

4. x = 3         y = 2/9 or 0.2222222222222...

Step-by-step explanation:

2.

in my stategy, you plus -5x + 8y = -4 with 6x - 8y = -12

+8y and -8y could delete each other, then y will be gone.

-5x + 6y = 1x = x because -5 + 6 = 1

so then you could got x = (-4) + (-12) which means x = -16

if x = -16 that will then means

(-5) x (-16) + 8y = -4

80 + 8y = -4

8y = -4 - 80

8y = -84

y = -10.5

3.

This question has already given you that y = -5

that means,  3x + 6 × (-5) = -18

3x + -30 = -18

3x = -18 - (-30)

3x = 12

x = 4

4.

Like the 2. qestion, you first plus the 2 equation together,

+9y + -9y = 0

-7x + 4x = -3x

-19 + 10 = -9

than means

-3x = -9

x = 3

then put the x = 3 in one of the equation.

4 x 3 - 9y = 10

12 - 9y = 10

-9y = 10 - 12

-9y = -2

-7 x 3 + 9y = -19

-21 + 9y = -19

9y = -19 + 21

9y = 2

y = 2/9 or 0.2222222222...

Wish this could help you!

Answer:

Step-by-step explanation:

FIRST ,

ADD BOTH EQUATIONS

THEREFORE X=-16 , Y =-21/2

SECOND,

SUBSTITUTE Y=-5 IN EQN.1

THEREFORE X= 4 , Y=-5

THIRD ,

ADD BOTH EQUATIONS

THEREFORE X= 3 , Y= 2/9

MARK ME AS BRAINLIEST PLS...........................................

Answer:

for every 3 tomato plants there will be 1 squash plants

Step-by-step explanation:

9 divided by 3 = 3. That will find the tomatoes

then you have to divide all the other plants by 3. Squash will be the only one with 1 plant per 3 tomato plants.

The answer is B

Answer:

B. Squash

Step-by-step explanation:

There are 9 tomato plants and there are 3 squash plants.

9 ÷ 3 = 3

3 tomato plants = 1 squash plants

3 × 3 = 1 × 3

9 = 3

9 tomato plants = 3 squash plants

Answer: The percentage of bags will the inspector reject = 15.87%

Step-by-step explanation:

Given, The weights of apple bags are normally distributed  with a mean of 5 pounds and a standard deviation of 0.25 pound.

i.e. [tex]\mu=5[/tex] and [tex]\sigma=0.25[/tex]

Let X be the weight of any random apple bag.

Since an inspector  weighs each bag and rejects all bags that weigh less than 4.75 pounds.

Then, the probability of bags will be rejected = probability that bags weigh less than 4.75 pounds.

[tex]=P(X<4.75)\\\\=P(\dfrac{X-\mu}{\sigma}<\dfrac{4.75-5}{0.25})\\\\=P(z<-1)\ \ \ [z=\dfrac{X-\mu}{\sigma}][/tex]

[tex]=1-P(z<1)\\\\=1-0.8413\ \ \ [\text{By z-value table}]\\\\=0.1587=15.87\%[/tex]

Hence, the percentage of bags will the inspector reject = 15.87%

The probability of getting a particular four letter sequence is  [tex]\frac{1}{7920}[/tex].

A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.

[tex]P(n, k) =\frac{n!}{(n-k)!}[/tex]

Where:

n – the total number of elements in a set

k – the number of selected elements arranged in a specific order

! – factorial

Probability is the measure of the likelihood of an event to occur.

P(E) = number of favorable outcomes/ total number of outcomes

According to given question

We have

Total number of tiles = 11

And we have to form distinct four letter sequences by picking 4 letter tiles a bag containing 11 different alphabet.

⇒ n = 11 and k = 4

So, the total number of distinct four letter sequences formed by picking 4 tiles from a bag = [tex]11P_{4}[/tex]

⇒ total number of distinct four letters = [tex]\frac{11!}{(11-4)!} = 7920[/tex]

Since, we have to get only one particular sequence.

⇒ Total number of favorable outcomes = 1

And there are total number of four teller sequence = 7920

⇒ Total number of outcomes = 7920

Therefore, the probability of getting a particular four letter sequence = [tex]\frac{1}{7920}[/tex]

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Answer:

- 0.8

Step-by-step explanation:

The first thing we want to do here is simplify the expression -

[tex]\frac{3}{5}[/tex]( 2x + 5 ) - 2x, Distribute the " [tex]\frac{3}{5}[/tex] " to elements within the parenthesis

= [tex]\frac{3}{5}[/tex] [tex]*[/tex] 2x + [tex]\frac{3}{5}[/tex] [tex]*[/tex] 5 - 2x, Focus on simplifying the expression " [tex]\frac{3}{5}[/tex] [tex]*[/tex] 2x + [tex]\frac{3}{5}[/tex] [tex]*[/tex] 5 "

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

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

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

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

So we have our simplified expression "  [tex]-\frac{4}{5}[/tex]x + 3, " with [tex]-\frac{4}{5}[/tex] being the coefficient of x. Our requirements are that this fraction should be expressed as a decimal, so we can simply divide the numerator by the denominator to figure that out,

- 4 / 5 = - 0.8,

Solution = - 0.8

Answer:

[tex]x=\frac{7}{8}[/tex]

Step-by-step explanation:

[tex]10x-3-2x=4[/tex]

First, collect and rearrange the like terms.

[tex]10x-3-2x=4[/tex]

[tex]8x-3=4[/tex]

[tex]8x=4+3[/tex]

Then, solve the equation:

[tex]8x=4+3[/tex]

[tex]8x=7[/tex]

[tex]x=\frac{7}{8}[/tex]

So, the answer is [tex]x=\frac{7}{8}[/tex]. Hope my solution and explanation can help you. Thank you!

If you still cannot get the point, you can ask me anytime.

Answer:

x=7/8

Step-by-step explanation:

10x-3-2x=4

collect like term

8x-3=4

move constant to the right-hand side and change its sign

8x-3=4 into 8x=4+3

add up the number : 8x=4+3

8x=7 divide both sides of the equation by 8

x = 7/8

Answer:

1/8

Step-by-step explanation:

ok so before i start i wanna say that this is gonna get confusing.....

Since the pizza is a whole quantity let us take it as 1.

Harry ate half of the pizza therefore the fraction that Harry ate = 1/2 of 1

= 1/2 × 1 = 1/2

Therefore fraction Harry ate = 1/2

Fraction of pizza left = 1 - 1/2 (LCM = 2)

= 1/2

Jacqueline ate 1/2 of what was left.

So, Fraction of pizza Jacqueline ate = 1/2 × 1/2 = 1/4

Therefore fraction of pizza left after both Harry and Jacqueline ate =

1 - (1/2 +1/4) = 1 - 3/4 (LCM = 4) = 1/4

Therfore fraction of pizza left = 1/4

Stanley ate 1/2 of what was left.

So, fraction of pizza Stanley ate = 1/2 × 1/4 = 1/8

Therefore, fraction of pizza left after all three of them ate =

1 - (1/2 + 1/4 + 1/8) = 1 - 7/8 (LCM = 8) = 1/8

I hope this helps .......i know this is rlly confusing but i dont know how else to put it : )

Have a nice day!      

Answer:

Option A.

Step-by-step explanation:

there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents.

Let x and y be the number of stamps of 40 cents and 55 cents respectively.

Total number of stamps is 45. So

[tex]x+y=45[/tex]

Total cost of stamps is $18.75. So

[tex]0.40x+0.55y=18.75[/tex]

But Krista wrote the system of equations as

[tex]0.40x+y=45[/tex]

[tex]x+0.55y=18.75[/tex]

Krista put 0.40 in the first equation meant for the number of stamps.

Krista did not write 0.40 in the second equation meant for the value of stamps.

Therefore, the correct option is A.

Answer:

The answer is A

Step-by-step explanation:

TOOK THE TEST!

All three series converge, so the answer is D.

The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.

Consider a geometric sequence with the first term a and common ratio |r| < 1. Then the n-th partial sum (the sum of the first n terms) of the sequence is

[tex]S_n=a+ar+ar^2+\cdots+ar^{n-2}+ar^{n-1}[/tex]

Multiply both sides by r :

[tex]rS_n=ar+ar^2+ar^3+\cdots+ar^{n-1}+ar^n[/tex]

Subtract the latter sum from the first, which eliminates all but the first and last terms:

[tex]S_n-rS_n=a-ar^n[/tex]

Solve for [tex]S_n[/tex]:

[tex](1-r)S_n=a(1-r^n)\implies S_n=\dfrac a{1-r}-\dfrac{ar^n}{1-r}[/tex]

Then as gets arbitrarily large, the term [tex]r^n[/tex] will converge to 0, leaving us with

[tex]S=\displaystyle\lim_{n\to\infty}S_n=\frac a{1-r}[/tex]

So the given series converge to

(I) -243/(1 + 1/9) = -2187/10

(II) -1.1/(1 + 1/10) = -1

(III) 27/(1 + 1/3) = 18

Answer:

Masses Below 6: Histogram

Median Mass: Box Plot

Step-by-step explanation:

For the pumpkins below 6 kilograms in mass, the Histogram is easier to use. The information is grouped in different masses. You could look at the '0-2.9' and the '3.0-5.9' areas to see pumpkins under 6 kilograms.

For the median, the box plot is easier to use. The line inside the box represents the median. This means that you can very easily see the median. The line is at the '8' mark, so the box plot shows that the median is 8.

Brainilest Appreciated.

Answer:

[tex]\boxed{Option \ 2}[/tex]

Step-by-step explanation:

[tex]6*10^8\\=> 600000000[/tex]

[tex]3*10^6\\=> 3000000[/tex]

Dividing both

=> 600000000 ÷ 3000000

=> 200

So,

[tex]6*10^8[/tex] is 200 times larger than [tex]3* 10^6[/tex]

Answer:

[tex]\boxed{\mathrm{Option \: 2}}[/tex]

Step-by-step explanation:

[tex]6 \times 10^8 = 600000000[/tex]

[tex]3 \times 10^6 =3000000[/tex]

[tex]\frac{600000000}{3000000} =200[/tex]

6 × 10⁸ is 200 times larger than 3 × 10⁶.

Answer:

(-6,6), (0,12), (4,8)

Step-by-step explanation:

To dilate an object, we need to multiply the x and y values by the given scale factor.

In this case the scale factor is 2 --> 2(x, y)

Before-> After dilation

2(-3,3) = (-6,6)

2(0,6) = (0,12)

2(2,4) = (4,8)

Please leave a 'thanks' if this helps!

Answer:

C

Step-by-step explanation:

f(x) = (x − 1)(x + 3)(x − 3)

This functions has 3 zeros as 1 ,-3, and 3

Lets evaluate the function at 0

f(0)  = (0 − 1)(0 + 3)(0 − 3) = -1 * 3 * -3 = 9

f(2)  = (2 − 1)(2 + 3)(2 − 3) = 1 * 5 * -1 = -5

Answer:

the answer is just 2

Step-by-step explanation:

start at the -3 and move right 3 and up 6 this is a inclined line so the answer will be positive the fraction put the numbers into a rise over run fraction which will be 6/3 which will reduce to 2/1 which is 2.

Answer:

Step-by-step explanation:

The total number of outcomes is 6 x 6 (because a dice has 6 sides) or 36. On the dice, there are 6 sets of matching numbers:

1,1

2,2

3,3

4,4

5,5

6,6

The probability of this is 6/36 or 1/6. The probability of not matching is 30/36 or 5/6.

The probability of rolling a pair of different numbers when two dices are rolled is 5/6.

The probability is the chance of happening an event among all the events possible. It lies between 0 and 1. It cannot be negative.

Total number of combinations when two dices are rolled=[tex]6^{2}[/tex]=36.

Combinations having same pair of numbers=(1,1),(2,2),(3,3),(4,4),(5,5),(6,6).

Number of combinations having same pair of numbers=6.

Number of combinations having different pairs of numbers=36-6=30.

Probability of having different pair of numbers=Number of combinations having different pair of numbers/Total combinations

Probability=30/36

=5/6

Hence the probability of rolling a pair of different numbers when two dices are rolled is 5/6.

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Answer:

No more than ≥

Not under ≤

No less than ≤

maximum ≥

Greater than or equal to ≥

Less than or equal to ≤

Does not exceed ≥

At most ≥

At least ≤

Minimum ≤

Answer:

the answer is C

Step-by-step explanation

I am guessing you mean (x-y)^4 and this expanded is [tex]x^4+4x^3y+6x^2y^2+4xy^3+y^4\\[/tex] and the first three coefficients are 1,4,6

The required first three coefficients of the expression (x - y)⁴ is 1, -4, 6. Option b is correct.

Given that,
To determine the coefficients of the first three terms in the expansion of (x – y)⁴.

The coefficient is defined as the number present former to any variable is called a coefficient.

Here,
[tex]\left(x-y\right)^4=\quad x^4-4x^3y+6x^2y^2-4xy^3+y^4[/tex]
First three coefficients from the above equation,
= 1, -4 and 6

Thus, the required first three coefficients of the expression (x - y)⁴ is 1, -4, 6. Option b is correct.

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Answer:

21 < x < 67 answer

Range is between 21 and 67 where 21 and 67 are not included in the range.

Step-by-step explanation:

we will use the concept of triangle

1. sum of two sides of triangles is always greater than the third side

2. difference of trow sides of triangle  is always less than the third side.

Given two sides

23 and 44

let the third side b x

using first concept

sum of to sides = 23+44 = 67

thus,

x <67

using second concept

Difference of to sides = 44 - 23 = 21

thus,

x  > 21

Combining

x <67 and x  > 21

21 < x < 67 answer

Range is between 21 and 67 where 21 and 67 are not included in the range.

Answer: Y= 2 X=1

Step-by-step explanation:

2x+y=4                  4x+2y=8

2x     =/2                     2y= /2

y=2                          4x=4

                               /4= /4

                               X= 1

Answer:

0.1 = 1/10

0.64 = 64/ 100 = 16/25

0.7841 = 7841 / 10,000

0.67 = 67/100

0.53 = 53/100

0.26 = 26/100 = 13/50

0.6 = 6/10 = 3/5

0.42 = 42/100 = 21/50

Hope this helps you

1 gallon = 16 cups. She is making 2 gallons so needs 32 total cups.

The ratio is 4:3:1

Add the ratios: 4+ 3 + 1 = 8

Divide total cups by total ratio:

32/8 =4

Now multiply that by each portion of the ratio:

Grape juice = 4 x 4 = 16 cups

Pineapple juice = 3x4 = 12 cups

Cider = 1x 4 = 4 cups

She needs 12 cups of pineapple juice.