Alicia is solving the equation shown.

− 2( x + 1) + 10 = 4 − 2x

She wrote this as her first step.

x + 1 − 5 = − 2 + x

Which property justifies this first step?

A. additive identity property
B. addition property of equality
C. multiplicative property of zero
D. multiplication property of equality

Answer:

y=mx+b format... 8th grade math class memories...ahhh

Step-by-step explanation:

Employee B-

one time bonus of 90 gets plugged into the b spot

13 an hour goes into the m space

415 total paid goes into the y spot

415=13(x)+90

subtract 90 from 415 and 90

325=13(x)

divide 325 by 13 and 13

25=(x)

Now plug x into the y=mx+b format with all your other numbers to check

y=13(25)+90

y=415!!

Hope this wasn't too confusing, good luck!

Answer:

A. -9/2

Step-by-step explanation:

Rate of change of y in respect to x = change in y/change in x

Using two pairs of values, say (-6, 33) and (-2, 15),

Rate of change = (15 - 33)/(-2 - (-6))

Rate of Change = -18/4

Simplify

Rate of change = -9/2

Answer:

0.29

Step-by-step explanation:

Total number of students = 35

Number of students who got B = 10

Probability that a student earns grade B :

Probability = required outcome / Total possible outcomes

P(grade B) = 10 / 35 = 0.2875

= 0.29

Answer:

que?

Step-by-step explanation:

If James paid with a $20 bill, he would get $7.25 in change ($20 - $12.20 = $7.25).

Change is a natural part of life. It is the process of making or becoming different, and can happen in an instant or over a long period of time. Change may refer to a transformation in a person’s life, such as a career switch, a change in lifestyle, or growth in maturity. It can also refer to a shift in the environment, such as a change in the weather, a demographic shift, or a dramatic event.

The equation c + $8.45 = $12.20 can be rewritten as c = $12.20 - $8.45. Solving this equation yields c = $3.75. This means James bought a popcorn for $3.75.
If James paid with a $20 bill, he would get $7.25 in change ($20 - $12.20 = $7.25).

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Answer:

Step-by-step explanation: reduce mean divide so 400 divided by 4 =28

Answer:

its tb=tc g

Step-by-step explanation:

The percentage of the exam that she has taken is 75%.

Percentage is a measure of frequency that is used to express the ratio of an amount as a number out of 100. The sign that is used to represent percentage is %.

In order to convert a number to percentage, multiply the number by 100. In order to determine the percent of exams that she has taken, multiply the ratio of exams taken and the total number of exams by 100.

Percent of the exams she has taken = (number of exams taken / total number of exams) x 100

Percent of the exams she has taken = (27 / 36) x 100

Percent of the exams she has taken = 75%

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Answer:

A rational number is a number that can be expressed as a fraction (ratio). This includes whole numbers, square roots that can be solved evenly, negatives, decimals, and repeating decimals that can be solved with a fraction. An irrational number is a number that is NOT rational. It's the complete opposite!

= 2 + 4 = 6 ↔ rational

= 2 * 2 = 4 ↔ rational

= 7 + 9 = 16 ↔ rational

Hope this helps!!

Answer:

C= -5

D = 7

Step-by-step explanation:

[tex] - 3 < x < 3 \\ \\ - 6 < 2x < 6 \\ \\ - 6 + 1 < 2x + 1 < 6 + 1 \\ \\ - 5 < 2x + 1 < 7[/tex]

Answer:

d

Step-by-step explanation:

so the first part is multiplication and the second part is division bc it's a fraction hope this helps <3

Answer:

D is correct option 840 meters

Step-by-step explanation:

S=vt

S= (24)(35)

S= 840 meters

Answer:

Following are the responses to the given question:

Step-by-step explanation:

Please find the table in the attached file.

mean and standard deviation difference: [tex]\bar{d}=\frac{\Sigma d}{n} =\frac{-4-6-.......-4-4}{8}=-4.125 \\\\S_d=\sqrt{\frac{\Sigma (d-\bar{d})^2 }{n-1}}=\sqrt{\frac{(-4 + 4.125)^2 +.......+(-4 +4.125)^2 }{8-1}}= 1.246[/tex]

For point a:

hypotheses are:

[tex]H_0 : \mu_d \geq -3\\\\H_a : \mu_d < -3\\\\[/tex]

degree of freedom:

[tex]df=n-1=8-1=7[/tex]

 From t table, at[tex]\alpha = 0.05[/tex], reject null hypothesis if [tex]t <-1.895[/tex].

test statistic:  

[tex]t=\frac{\bar{d}-\mu_d }{\frac{s_d}{\sqrt{d}}}=\frac{ -4.125- (-3)}{\frac{1.246}{ \sqrt{8}}} =-2.55[/tex]

because the [tex]t=-2.553 <-1.895[/tex], removing the null assumption. Data promotes a food product manufacturer's assertion with a likelihood of Type 1 error of 0.05.

For point b:

From t table, at [tex]\alpha =0.01[/tex], removing the null hypothesis if [tex]t<-2.998[/tex].

because [tex]t=-2.553 >-2.908[/tex], fail to removing the null hypothesis.  

The data do not help the foodstuff producer's point with the likelihood of a .01-type mistake.

For point c:

Hypotheses are:

[tex]H_0: \mu_d \geq -5\\\\H_a: \mu_d < -5[/tex]

Degree of freedom:

[tex]df=n-1=8-1=7[/tex]

From t table, at [tex]\alpha =0.05[/tex], removing the null hypothesis if [tex]t <-1.895[/tex].

test statistic:  [tex]t=\frac{\bar{d}-\mu_d}{\frac{s_d}{\sqrt{n}}} =\frac{-4.125-(-5)}{\frac{1.246}{\sqrt{8}}}=1.986[/tex]

Since [tex]t-1.986 >-1.895[/tex], The null hypothesis fails to reject. The results do not support the packaged food producer's claim with a Type 1 error probability of 0,05.

From t table, at[tex]\alpha= 0.01[/tex], reject null hypothesis if[tex]t<-2.998[/tex].

Since [tex]t=1.986>-2.998[/tex] , fail to reject null hypothesis.  

Data do not support the claim of the producer of the dietary product with the probability of Type 1 error of .01.

Answer:

3*(5 + q) = 15 + 3*q

Step-by-step explanation:

The distributive property is:

A*(B + C) = A*B + A*C

We know that you buy 5 small pots and q packages of seeds for $3 each.

And we know that the equation that models the cost is:

3*(5 + q)

Now we can simply apply the distributive property to rewrite this expression as:

3*(5 + q) = 3*5 + 3*q = 15 + 3*q

So the equivalent expression is: 15 + 3*q

Answer:

BEDMAS

Step-by-step explanation:

first: inside the bracket.

second: exponent

third and fourth :division or multiplication. Wich come first.

last :addition or subtraction. Wich come first .

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{6}-\stackrel{y1}{7}}}{\underset{\textit{\large run}} {\underset{x_2}{4}-\underset{x_1}{2}}} \implies \cfrac{ -1 }{ 2 } \implies - \cfrac{ 1 }{ 2 }[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{- \cfrac{ 1 }{ 2 }}(x-\stackrel{x_1}{2}) \\\\\\ y-7=- \cfrac{ 1 }{ 2 }x+1\implies {\Large \begin{array}{llll} y=- \cfrac{ 1 }{ 2 }x+8 \end{array}}[/tex]

Answer:

Step-by-step explanation:

b: left arrow with filled in dot

c: right arrow with filled in dot

d:  left arrow with NO filled in dot

Answer:

I Think it is A

Step-by-step explanation:

It is a because 9×7=63

The probability of raining today is equal to the probability of raining on Saturday, which is 0.09.

To find the probability of raining today, given that today is Saturday and the probability of raining on Saturday is 0.09, we can use conditional probability.

The conditional probability of an event A occurring, given that event B has already occurred, is denoted as P(A|B) and is calculated as follows:

P(A|B) = P(A ∩ B) / P(B)

In this case, event A represents the event of raining today, and event B represents the event of it being Saturday.

We are given that P(B) = 0.09 (the probability of raining on Saturday). Since today is Saturday, we know that event B has occurred.

Now, let's assume that event A and event B are independent. This means that the probability of raining today (event A) is not affected by whether it is Saturday (event B) or not.

Under the assumption of independence, we can say that P(A ∩ B) = P(A) * P(B).

Given that P(B) = 0.09, we can substitute these values into the conditional probability formula:

P(A|B) = (P(A) * P(B)) / P(B)

= P(A)

Therefore, the probability of raining today is equal to the probability of raining on Saturday, which is 0.09.

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Answer:

6 1/9 hours

Step-by-step explanation:

10 3/9 - 4 2/9 = 6 1/9

Answer:

a= 5

b= 9

c= -7

d= 12

Step-by-step explanation:

Answer:

The volume is 384 cm^2.

Step-by-step explanation:

The equation for a pyramid is the base area times the height divided by 3, so [tex]a^2h/3[/tex]. In this case, we know the side length but we do not know the height. We can use the Pythagorean Theorem to get:

6^2 + b^2 = 10^2

36 + b^2 = 100

b^2 = 64

b = 8

Therefore, our height is 8. Plug this into the equation to get:

12^2 (8) / 3

144 (8) / 3

1152 / 3

384

According to the given conditions in the question, the movie did finish at 8:15pm exactly.

The average movie length of movies in hollywood is  around 120 -130 mins per movie. However this fact can vary as per the genre and type of the film.

The movie business, usually referred to as the film industry, has a big influence on the economy. For those involved in the industry, such as performers, directors, camera operators, sound technicians, special effects designers, and theater owners, the creation and distribution of films can result in jobs and financial gain.

The local economy can benefit from the tourists that movies can bring to an area where a movie is being made or is located. The money made by persons employed in the film business is likely to be spent on other goods and services, stimulating extra economic activity. As a result, the film industry may also have a "multiplier impact" on the economy.

So according to the question, the movie itself started at 6:15 pm, and it lasted for 105 mins , also adding the time for commercials of 9 mins and 6 mins , which ultimately added 15 more mins, the total screen time would be ,

105 + 15 = 120 mins

Which is equal to 2 hrs, so the movie finished at 8:15 pm.

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The number of atoms that are there in 400 grams of hydrogen will be 2.408 × 10^26.

Scientific notation is a method of displaying very large or very small numbers in a more simplified format. We know that entire numbers can be extended indefinitely, but such large numbers cannot be written on a piece of paper.

In this case, there are 6.02 × 10^23 atoms in 1 gram of hydrogen.

The number of atoms that are there in 400 grams of hydrogen will be:

= 6.02 × 10^23 × 400

= 2408 × 10^23

= 2.408 × 10^3 × 10^23

= 2.408 × 10^26

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Therefore , the solution of the given problem of triangle comes out to be  base=4m,16 and height=8m,2m.

In a plane, any three points can be joined to form triangles, which have three sides and three angles. They were among the first geometrical forms to be investigated. Because each polygon, regardless of its number of sides (four, five, six, or n), may be divided into a triangle, they are especially significant.

Here,

Given :

Triangle area = 16[tex]m^{2}[/tex]

Thus,

To find the possible base and height of the triangle.

The base can be given by 4 m,16

and height be = 8m or 2m

vice-versa

height = 4m ,16mand base =8m,2m

Therefore , the solution of the given problem of triangle comes out to be  base=4m,16 and height=8m,2m.

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Answer:

see below

Step-by-step explanation:

given that the area of the triangle is 16m² . We need to list all the possible lengths of its base and height. As we know that, the area of triangle is ,

ar(∆) = 1/2 * base* height

substitute the respective values,

16m² = 1/2* b * h

b*h = 32

now here we need to list out all the possible factors of 32 as ,

1 *32

2 *16

4*8

8*4

16 *2

32*1

therefore, all the possible lengths of heights and bases are ,

and we are done!

-Rishabh

Answer:

54 boys

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

the ratio 3/2 means 1.5 so we divide 36 over 1.5 we get 24…

to make sure we 36/24= 3/2=2.5

Answer:

C)is an expression because it cannot be solved