Write an equation in slope-intercept form of the line that passes through the points (2, 15) and (5, 21).

Answer:

x = 12.5

Step-by-step explanation:

The inside angles of a triangle should sum 180°

then

2x + (7x+5) + (180 - (11x-25)) = 180

2x + 7x + 5 + 180 - 11x -25 = 180

-2x - 25 = 0

2x = -25

x -25/2

x = 12.5

Answer:     0.26666667 (0.3)

Answer:

PLEASE ADD A DANG PICTURE

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

4/9 x = 16

9/4 * 4/9 x = 16 * 9/4

x = 36

The situation could be modeled by a linear function is

(2) A gym charges a $50 initial fee and then $30 monthly.

A linear function in mathematics is one that has either one or two variables and no exponents.

2) Let y be the total amount charged by the gym to a person for x months.

as the initial amount for every person is $30.

The gym charges [tex]50+30x[/tex] $ after x months.

Hence this is a linear equation.

The remaining situations cannot be expressed as a linear equation because they include percentages in them.

Every situation that has a percentage is an exponential function.

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Answer:

2/9 = approximately 0.22.

Step-by-step explanation:

There are a total of 12 possible outcomes when the spinner is spun once, so the probability of getting a result that is not green is 8/12, or 2/3. Similarly, the probability of getting green on the second spin is 4/12, or 1/3.

To find the probability of getting a result that is not green on the first spin and green on the second spin, you can multiply the probabilities of each individual event. Therefore, the probability of getting not green then green is (2/3) * (1/3) = 2/9 = approximately 0.22.

Alternatively, you could also use the principle of complementary probabilities to calculate the probability of getting not green on the first spin and green on the second spin. The probability of getting not green on the first spin is 1 - (4/12) = 8/12 = 2/3, and the probability of getting green on the second spin is still 4/12 = 1/3. Multiplying these probabilities gives a result of (2/3) * (1/3) = 2/9 = approximately 0.22.

Answer:

x = 3

y = 195

Step-by-step explanation:

y = 60x + 15

y = 65x

65x = 60x + 15

5x = 15

x = 3

y = 65(3)

y = 195

Hope it helps!

For the given statement about hundredth digit of the given decimal z the following statement is true:

Option E. statement (1) and (2) together are not sufficient.

As given in the question,

Let us consider decimal z is represented by k.lmn

Here hundredth digit of z is equal to m

Now,

(1) The tenths digit of 100z is 2.

100z

= 100(k.lmn)

=klm.n

This implies n = 2

(2) The units digit of 1,000z is 2.

1,000z

= 1,000(k.lmn)

= klmn

This implies n =2

From both the statements we are getting the value of n which is not sufficient to get the value of required 'm'.

Therefore, Option E is the correct answer which shows both the statements are not sufficient to get the value required hundredth digit of decimal z.

The complete question is:

What is the hundredths digit of the decimal z ? (1) the tenths digit of 100z is 2. (2) the units digit of 1,000z is 2.

A. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.

B. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.

C. Both statements together are sufficient, but neither statement alone is sufficient.

D. Each statement alone is sufficient.

E. Statements (1) and (2) together are not sufficient.

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The outlier of 2 decreases the mean page count.

What is mean and median?

The mean is that the variety you get by dividing the total of a collection of values by the quantity of values within the set.

In distinction, the median is that the middle variety in an exceedingly set of values once those values square measure organized from smallest to largest.

Main Body:

From the picture we can  know that outlier of 2 does not effect the median page count.

But outlier of 2 decreases the mean page count.

it can be found out by taking mean

(1+2+3+2+1+2+2+1)/8= 1.75

and if we remove outlier of 2 ,then

(1+3+2+1+2+2+1)/7 = 1.86

Hence ,the outlier of 2 decreases the mean page count.

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Answer:

the answer is d

Step-by-step explanation:

The probability that the next report will weigh less than 45 grams = 0.106

In this question, we have been given the weight of written reports produced in a certain department has a normal distribution with mean 60 grams and standard deviation 12 grams.

We need to find the probability that the next report will weigh less than 45 grams.

We have mean= 60 grams

Standard Deviation = 12 grams

First we convert 45 to z score.

45 converted to z score for given mean and standard deviation will be:

z = (45 - 60)/12

z = -1.25

So, from standard normal table a P-value:

P(x<45) = 0.10565

Therefore, the probability would be 0.10565

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As the out comes are (3,6), (5,6), (5,3), (5,4), (5,5),(3,5) when you rolled an odd number first so the probability of rolling a sum greater than 7 is 1/6

The probability is equal to the variety of possible outcomes. the total number of outcomes that could occur. For instance, there is only one way to receive a head and there are a total of two possible outcomes, hence the probability of flipping a coin and getting heads is 1 in 2. (a head or tail). it will be written as P(heads) = 1/2.

Information about the possibility that something will happen is provided by probability. For instance, meteorologists use weather patterns to forecast the likelihood of rain. Probability theory is utilized in epidemiology to comprehend the connection between exposures and the risk of health outcomes.

There are total 36 possible outcomes of two dices when they are rolled.

N=36

now we have to consider the out comes having sum greater than 7

which are;

(2,6),(3,5),(3,6),(4,4) ,(4,5),(4,6),(5,3),(5,4),(5,5) ,(5,6),(6,2),(6,3),(6,4),(6,5),(6,6)

and now selecting only those having first number is odd

so they are:

(3,5),(3,6),(5,3),(5,4),(5,5),(5,6)

now using probability formula;

Probability = favorable outcomes /total outcomes

value putting;

probability = 6/36

probability =1/6

this is our required answer.

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Probability of rolling an odd number on a single die is 3/6, or 1/2. This is because there are three odd numbers (1, 3, and 5) on a standard six-sided die, and the probability of rolling any given number is 1/6.

Probability is a metric used to determine how likely an event or result is to occur. A decimal or fraction between 0 and 1 is typically used to express it, with 0 denoting that the event will not occur and 1 denoting that it will occur without a doubt. For instance, the likelihood of rolling a 6 on a conventional six-sided die is 1/6 since there is only one scenario out of the six conceivable events that will result in rolling a 6. By dividing the number of desired outcomes by the total number of potential possibilities, one may compute probability. In general, the more likely an event is to occur, the greater its probability.

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Answer:

2/12 of the pizza is left.

Step-by-step explanation:

7/12 plus 3/12 is 10/12, then minus that from 12/12 and you get 2/12.

Answer: y = 0x + 8

Step-by-step explanation:

The slope-intercept form is y=mx + b

The slope is 0, and y-intercept is at (0,8)

So our equation is

y = 0x + 8

Answer:

Using substitution method for to solve, X = -4 and Y = 6

Step-by-step explanation:

1)  x+2y = 8

2) x+y = 2

solve 2)

x = 2-y

Then replaced it in 1)

(2-y) + 2y = 8

2 + y = 8

y = 6

then

x = 2 - 6

X = -4

Question 1

[tex](f \circ g)(-2)=f(-2) \cdot g(-2)=10 \cdot 3=\boxed{30}[/tex]

Question 2

[tex](g \circ h)(1)=g(1) \cdot h(1)=2(1^2 -9)=\boxed{-16}[/tex]

Question 3

[tex](g/f)(0)=\frac{g(0)}{f(0)}=\frac{0^2 -9}{6}=\boxed{-3/2}[/tex]

Question 4

[tex](h/f)(-3)=\frac{h(-3)}{f(-3)}=\frac{3^2 -9}{12}=\boxed{0}[/tex]

Answer: 2 2/3 or 8/3

Step-by-step explanation:

3 5/6 = 23/6

-1 1/6 = -7/6

23/6-7/6

16/6

simplify

8/3

Answer:

2 [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

3 [tex]\frac{5}{6}[/tex] can be written [tex]\frac{6}{6}[/tex] + [tex]\frac{6}{6}[/tex] + [tex]\frac{6}{6}[/tex] + [tex]\frac{5}{6}[/tex]  = [tex]\frac{23}{6}[/tex]   ( [tex]\frac{6}{6}[/tex] is the same one)

1 [tex]\frac{1}{6}[/tex] can be written [tex]\frac{6}{6}[/tex] + [tex]\frac{1}{6}[/tex] = [tex]\frac{7}{6}[/tex]

Adding a negative number is like subtracting a positive number.

[tex]\frac{23}{6}[/tex] -  [tex]\frac{7 }{6}[/tex]  =   [tex]\frac{16}{6}[/tex]  6 goes into 16 2 times with 4 left over

2 [tex]\frac{4}{6}[/tex]  Divide the top and bottom by 2 to get

2 [tex]\frac{2}{3}[/tex]

Answer:

should be the first one, x > 360

Step-by-step explanation:

im sorry if its wrong :*(

Answer:

2 1/4

Step-by-step explanation:

Subtract the whole numbers first:

8 - 6 = 2

To subtract the fractions, change 1/2 to 2/4 since they equal the same thing and 2/4 has the same denominator as 1/4:

2/4 - 1/4 = 1/4 <--- all we needed to do was subtract the numerators

Your final answer is 2 1/4.

The earnings for both Cynthia and Javier are same for x hours.

What is commission?

When an employee completes a task, typically selling a certain volume of goods or services, they are compensated financially. Sales commissions are occasionally used by employers as incentives to boost employee productivity. It is possible to receive a commission in place of or in addition to a salary.

Given:

Cynthia earns $680 in commissions and is paid $10.25 per hour.

Javier earns $410 in commissions and is paid $12.50 per hour.

So, the equation is

10.25x + 680 = 12.5x + 410

To simplify this equation for x.

10.25x+ 680 =12.5x +410

    680 ‐ 410 = 12.5x ‐ 10.25x

             270 = 2.25x

                  x = 270/2.25

                  x = 120

If we plug x = 120 in both the values 10.25x + 680 and 12.5x + 410 then we will get the same values.

Hence, the earnings for both Cynthia and Javier are same for x hours.

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Richard is 23years old and Thiago is 5years old

A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation.

From the question,

Let R stands for Richard

     T stands for Teo

we were told that the combined age of Richard and Teo is 28

i.e

R + T = 28 ......eqn (i)

we were also told that  Richard is 13 years older than twice Teo’s age

i.e

R = 2T + 13 .....eqn(ii)

substituting 2T + 13 for R in eqn (i)

(2T+13)+T = 28

expanding the bracket

3T + 13 = 28

collecting like terms

3T = 28 - 13

3T = 15

T = 15/3

T = 5

Teo age is 5years

From eqn (i)

R + T = 28

R + 5 = 28

R = 28 - 5

R = 23

Hence, Richard age is 23years

From eqn (ii)

R = 2T + 13

substituting for R in the eqn

23=2T+13

collecting like terms

23-13=2T

10=2T

T=10/2

T=5

Hence. Thiago age is 5years

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Answer:

B) 10

Step-by-step explanation:

The triangles are congruent by HL. Thus, by CPCTC, [tex]x=10[/tex].

The linear equation of the following graph in slope-intercept form will be; y=1/2x

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

The slope of the line is calculated as follows:

m = Δy/Δx

To find the linear equation of the following graph in slope-intercept form.

Therefore, the slope of the line is;

m = Δy/Δx

m = 1/2

When we simplify it, then we get the equation as;

y=1/2x

Hence, The linear equation of the following graph in slope-intercept form will be; y=1/2x

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Answer:

h(6) = 180

Step-by-step explanation:

h(a)=5a²

for a=6

h(6) = 5(6)²

h(6) = 5*36

h(6) = 180

A line 'a' and line 'b' are perpendicular to each other.

We know that the formula for the slope of line passing through two points (x1, y1) and (x2, y2) is,

m = (y2 - y1)/(x2 - x1)

A line 'a' passes through points (-3,5) and (0,0)

Let m1 be the slope of line 'a'

m1 = (0 - 5)/(0 - (-3))

m1 = -5/3

A line 'b' passes through points (3,5) and (0,0).

Let m2 be the slope of line 'b'

m2 = (0 - 5)/(0 - 3)

m2 = (-5)/(-3)

m2 = 5/3

We can observe that, m1 * m2 = -1

Since the product of slopes of the lines is -1, the lines a and b are perpendicular.

Therefore, the lines are perpendicular.

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Answer: 6 divided by 2/3

Step-by-step explanation:

The division equation which represents the situation is 6 ÷ 2/3 = 9.

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

Division equation is the equation involving the operation of division.

The model shows there are 9 pieces that are each 2/3 feet long.

We can calculate the total length of the pieces using the multiplication equation.

9 × 2/3 = 6

Total length = 6 feet

Length of each piece = 2/3 feet

Number of pieces can be found using the division equation,

6 ÷ 2/3 = 9

Hence the division equation for the given situation is 6 ÷ 2/3 = 9.

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Answer:

Step-by-step explanation:

perimeter = hypotenuse + side a + side b

sin = opposite / hypotenuse

tan = opposite/adjacent

find the hypotenuse

let x = hypotenuse

sin(55 deg) = 56 / x

x * sin(55 deg) = 56

x = 56 / sin(55 deg) use a calculator

x ~ 68.36

find the side adjacent to 55 degrees

let x = adjacent leg

tan(55 deg) = 56 / x

x * tan(55 deg) = 56

x = 56 / tan(55 deg) use a calculator

x ~ 39.21

add them together

perimeter = 56 + 68.36 + 39.21

perimeter ~ 163.57 or 164