find each product or quotient. give all answers in simplest form. -8/12 x -2/13

Answer:

first graph

Step-by-step explanation:

x > n

the graph will have an open circle at the value n , indicating that x cannot equal n ( note solid circle if x ≥ n )

the arrow from n will point in the right direction, indicating values of x greater than n.

the graph representing x > n is the first graph

The three consecutive multiples of 3 are 15, 18 and 21

First, let's determine three successive multiples of 3:

The subsequent two would be "x+3" and "x+6" if we call the initial number "x".

Since we are aware that the third number (x+6) is one more than the first two numbers (x + x+3), we can write the following equation:

2/3(x + x+3) = (x+6) + 1

Simplifying this equation, we get:

2/3(2x+3) = x+7

Multiplying both sides by 3, we get:

2(2x+3) = 3(x+7)

Expanding and simplifying, we get:

4x + 6 = 3x + 21

Subtracting 3x and 6 from both sides, we get:

x = 15

Therefore, the three consecutive multiples of 3 are 15, 18 and 21

Learn more about consecutive multiples here : brainly.com/question/22081489

#SPJ1

Check the picture below.

Answer:

8:7

Step-by-step explanation:

tax will be = 50 x 5% = $2.5

The probability that the sample's mean length is greater than 6.3 inches is0.8446.

Here, we have,

Given mean of 6.5 inches, standard deviation of 0.5 inches and sample size of 46.

We have to calculate the probability that the sample's mean length is greater than 6.3 inches is 0.8446.

Probability is the likeliness of happening an event.

It lies between 0 and 1.

Probability is the number of items divided by the total number of items.

We have to use z statistic in this question because the sample size is greater than 30.

μ=6.5

σ=0.5

n=46

z=X-μ/σ

where μ is mean and

σ is standard deviation.

First we have to find the p value from 6.3 to 6.5 and then we have to add 0.5 to it to find the required probability.

z=6.3-6.5/0.5

=-0.2/0.5

=-0.4

p value from z table is 0.3446

Probability that the mean length is greater than 6.3inches is 0.3446+0.5=0.8446.

Hence the probability that the mean length is greater than 6.3 inches is 0.8446.

Learn more about probability at

brainly.com/question/24756209

#SPJ1

Answer: c.

Undefined terms

Step-by-step explanation:

In an axiomatic system, the category where points, lines, and planes belong to is C. undefined terms.

It should be noted that an axiomatic system simply means a set of axioms where other axioms can be used to derive the theorems.

In this case, in an axiomatic system, the category where points, lines, and planes belong to is undefined terms.

Learn more about axiomatic system on:

https://brainly.com/question/1600228

#SPJ2

The rigid transformation formula for the translation is represented by the formula T(x, y) = (- 4, 5).

The vertices of the original triangle are A(x, y) = (1, 2), B(x, y) = (1, 4), C(x, y) = (3, 2) and T(x, y) = (- 4, 5).

The vertices of the resulting triangle are A'(x, y) = (- 3, 7), B'(x, y) = (- 3, 9) and C'(x, y) = (- 1, 7).

The statement of the question indicates the coordinates of the vertices of the triangle that must be graphed and we need to determine the coordinates of its image, which must be graphed also. The image is the result of the following rigid transformation known as translation:

P'(x, y) = P(x, y) + T(x, y)

Where:

The translation vector for this situation is: T(x, y) = (- 4, 5).

If we know that A(x, y) = (1, 2), B(x, y) = (1, 4), C(x, y) = (3, 2) and T(x, y) = (- 4, 5), the coordinates of the vertices of the image are, respectively:

A'(x, y) = (1, 2) + (- 4, 5)

A'(x, y) = (- 3, 7)

B'(x, y) = (1, 4) + (- 4, 5)

B'(x, y) = (- 3, 9)

C'(x, y) = (3, 2) + (- 4, 5)

C'(x, y) = (- 1, 7)

Finally, we determine the graphs of each triangle.

How to learn more on rigid transformations: https://brainly.com/question/28004150

#SPJ1

1. Create a grid that is 5 squares wide by 2 squares tall. Shade 8 squares as shown above.

 A. Look at the shaded:total in the gizmo table. What decimal and percent are modeled by the shaded squares?

Decimal part =

10 squares

8 shaded

0.2=2 squares shaded

so

8 squares shaded = 0.8

Percent part =

if 100% = 1 whole

1 whole = 10 blocks in gizmo table

then

8 blocks in gizmo table = 80%

since

1 block = 10%

10%x8=80

80%

B. Look at the unshaded:total row. What decimal and percent by the unshaded squares?

Decimal part:

If there are 2 unshaded squares

and we know that 1 square = 0.1

then, 2 squares = 0.2

0.2

Percent part:

if we know that 10 blocks = 1 whole

and 1 block = 10%

then 2x10%=20%

20%

1. The Gizmo gives two equivalent (equal) fractions — simplified and unsimplified — for the shaded:total and unshaded:total ratios. Record them below. (to see why these are equivalent, notice how many shaded and unshaded squares are in each row of the grid.)

Thanks!

Mark me brainliest!

~\(FieryAnswererGT\)~

Answer:

Decimal : 0.8

percent: 80%

decimal: 0.2

percent: 20%

shaded/total = 8/10 = 4/5

unshaded/total = 2/10 = 1/5

From the data of highway speeds of 100 cars , the mean speed is 55.4 mph  , the correct option is (c) .

In the question ,

the various class interval with their frequency is given ;

For Speed (30 - 39) ;

the mid value(x) is 34.5  ; the frequency(f) is 5 ,

So , the value of (fx) is = 34.5 × 5 = 172.5

For Speed (40 - 49) ;

the mid value(x) is 44.5  ; the frequency(f) is 18 ,

So , the value of (fx) is = 44.5 × 18 = 801

For Speed (50 - 59) ;

the mid value(x) is 54.5  ; the frequency(f) is 50 ,

So , the value of (fx) is = 54.5 × 50 = 2725

For Speed (60 - 69) ;

the mid value(x) is 64.5  ; the frequency(f) is 17 ,

So , the value of (fx) is = 64.5 × 17 = 1096.5

For Speed (70 - 79) ;

the mid value(x) is 74.5  ; the frequency(f) is 10 ,

So , the value of (fx) is = 74.5 × 10 = 745 .

The Sum of all values of (fx) is = 5540 .

and the sum of all frequency is = 5 + 18 + 50 +17 + 10 = 100

So , the mean is = (sum of fx)/(sum of all frequency)

= 5540/100

= 55.4 mph .

Therefore , the mean speed is = 55.4 mph .

Learn more about Mean here

https://brainly.com/question/14800710

#SPJ4

Answer:

24 sq units

Step-by-step explanation:

shape is a triangle with a height of 6 and a base of 8

A = bh/2

A = (6·8)/2

A = 24

Answer:

29

Step-by-step explanation:

(7-5)^2 is 4 and (20-19)^2 is 1

4+1=5

3*5=15

15+14=29

Answer:

29

Step-by-step explanation:

3((7-5)^2+(20-19)^2) + 14

3(4+1)+14

12+3+14

15+14

29

A)
i) the inequality to show the number of ballons that the dance committee can buy is: 0.80b + 65 ≤ 125

ii)  solving the inequality above, we arrive at b ≤ 75
B) The graph is attached accordingly.

C) See the description of the solution below.

Let's start by defining our variables. Let b be the number of balloons that the dance committee could buy.

The cost of b balloons is $0.80b. We want to make sure that the cost of the balloons plus the amount already spent on decorations ($65) is less than or equal to the budget of $125. So we can write the following inequality:

0.80b + 65 ≤ 125

Now we can solve for b:

0.80b + 65 ≤ 125

0.80b ≤ 125 - 65

0.80b ≤ 60

b ≤ 75

Therefore, the dance committee can buy up to 75 balloons to stay within their budget.

To graph the solution set, we can plot b on the horizontal axis and shade the region to the left of b = 75, since b must be less than or equal to 75.

The solution set represents all possible values of b that satisfy the inequality. In this case, the solution set is b ≤ 75, which means that the dance committee can buy up to 75 balloons and still stay within their budget.

As the number of balloons increases, the cost of the balloons also increases, and the amount of money left in the budget decreases.

Therefore, the more balloons the dance committee buys, the less money they will have left for other decorations or expenses.

Learn more aobut Inequalities:
https://brainly.com/question/30228778
#SPJ1

Full Question:


Since the above question is incomplete, it appears you are referring to the question below.


The dance committee has a budget of $125 to decorate the gym for a spring dance. They already spent $65. Some members want to buy helium balloons that cost $0.80 each.

A) Write and solve an inequality to show the number of balloons that the dance committee could buy.

B) Graph the solution set for the inequality.
C) Describe what the solution means and how the number of balloons affects the amount in the budget.

Answer:

-48

Step-by-step explanation:

First, you multiple the fraction by the denominator, which is 8. You multiple both sides of the equation by 8. -6*8=-48. x/8 * 8 = x. In conclusion, -48 = x or x = -48.

Answer:

R= diameter ÷ 2

Step-by-step explanation:

the radius is half the diameter.

Answer:

1/(1) (2) +1/(2) (3)

=1/2+1/6

=3

Answer:

√43

Step-by-step explanation:

Implement the Pythagorean formula to solve for sides of a right triangle: a^2 + b^2 = c^2, where "a" and "b" are the legs and "c" is the hypotenuse.

a = √6 and c = 49

√6^2 + b^2 = 49

6 + b^2 = 49

b^2 = 43

b = √43

Answer:

The square root of 43

Step-by-step explanation:

 I did this in class the other day

Reason: Multiply both sides by 7

The inequality sign doesn't flip. It only flips if you multiplied both sides by a negative number.

...

SOLUTION

TWO LINES ARE SAID TO BE PERPENDICULAR IF THEY INTERSECT AT RIGHT ANGLE.

From our question;

OBTION A IS THE CORRECT ANSWER.

some fhdf

djfsirsisdsjfsd

fdfjjjf9d094--djjf9939=3030395944./445335

The probability of those that favors building the health center is 0.196

The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event. The formula for probability is given by; P(E) = Number of Favorable Outcomes/Number of total outcomes.

In a recent survey, 70% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find the probability that exactly 8 of them favor the building of the health center.

According to the scenario, 70% of the community favoured in building a health centre.

Hence , p=0.7.

In order to find the probability, binomial theorem will be used as follows :

= 0.196

Hence, The probability is 0.196

Learn more about the probability at:https://brainly.com/question/13604758

#SPJ1

Answer:

-36

-3y

Step-by-step explanation:

F

Answer:

(4,-7)

Step-by-step explanation:

y=4x-9

y+3=x

y=4(y+3)-9

y=4y+12+9

y=4y+21

y-4y=21

-3y=21

y=-7

Now use y to find x

y+3=x

-7+3=4

x=4

Answer:

25872 ways

Step-by-step explanation:

We're choosing 5 women from a group of 11 and 3 men from a group of 8. We don't care about what order they are picked and so we'll use the combination formula, which is:

n!/(k!)(n-k)! with n as population and k as picks.

We'll multiply the results together. (8! / (3!)(8-3)!) * (11! / (5!)(11-5)!)

That equals: (8! / (3!)(5!) ) * (11! / (5!)(6!)) = 40320/(6x120) * 39916800/ (120x720)

56 * 462 = 25872

Answer:

\(\cos(T)\) =\(\frac{\sqrt{15}}{5}\)

Step-by-step explanation:

Given parameters.

\(TU = 4\sqrt 5\)

\(SU = 4\sqrt 2\)

\(ST = 4\sqrt 3\)

Required

Determine \(\cos(T)\)

Reference to \(\angle T\), we have:

\(Opposite = 4\sqrt 2\)

\(Adjacent = 4\sqrt 3\)

\(Hypotenuse = 4\sqrt 5\)

Apply trigonometry ratio of cosine

\(\cos(T)\) \(= \frac{Adjacent}{Hypotenuse}\)

Substitute values for Adjacent and Hypotenuse

\(\cos(T)\) \(= \frac{4\sqrt 3}{4\sqrt 5}\)

\(\cos(T)\) \(= \frac{\sqrt 3}{\sqrt 5}\)

Rationalize:

\(\cos(T)\) \(= \frac{\sqrt 3}{\sqrt 5}*\frac{\sqrt 5}{\sqrt 5}\)

\(\cos(T)\) =\(\frac{\sqrt{15}}{5}\)

A function which represents the number of pens as a function of the female pigs is: p(l(z)).

From the information provided, we have the following the following functions:

Function, l(z) = 4x

Where:

Function, p(x) = x/8 + 1

Where:

Next, we would substitute the the litter of piglets born on the farm l(x) into the number of pens required as follows;

p(x) = x/8 + 1

p(l(z)) = 4x/8 + 1

p(l(z)) = 0.5x + 1

Read more on function here: brainly.com/question/3632175

#SPJ1

Complete Question:

Function l(z) = 4x is used to calculate the litter of piglets born on the farm; x represents the number of female pigs on the farm. Each female pig births 4 piglets. The farmer will need pens to house all the piglets. One pen can house 8. The number of pens required is written as p(x) = x/8 + 1, where x is the number of piglets. The farmer always builds one extra pen. Which of the following functions represents the number of pens as a function of the female pigs?

p(p(x))

p(l(z))

1(p(x))

1 (1 (x))

The evaluation of the geometric series is found as:

\(5(1- \frac{2}{3}^{8} / 1- \frac{2}{3} )\)

The given series is

\(8∑k=1 5(2/3)^k-1\)

A  geometric series is described as the sum of an infinite number of terms that have a constant ratio between successive terms.

Since this is a geometric series, we apply  formula for the sum of the first k terms.

\(S= a( 1- r^{k} / 1-r )\)

From the series, first term  a = 5, common ratio  r = 2/3 , k = 8

We substitute the values to obtain:

he evaluation of the series is found as:

\(5(1- \frac{2}{3}^{8} / 1- \frac{2}{3} )\)

Geometric series finds its applications in Physics, engineering, biology, economics, computer science, queueing theory, and finance.

Learn more about geometric series at:

https://brainly.com/question/24643676

#SPJ1

complete question is attached in image