One and one half minus two and five six ths

Anita began solving the system ​ {x+y=8, x−y=2 ​ by writing 2x=10 .

x+y=8

x−y=2

When we add both equations , we will get 2x = 10

x+x becomes 2x

+y -y becomes 0

8 + 2 becomes 10

So by adding two equations we got 2x = 10

Hence we say Addition Property of Equality.

Addition Property of Equality means adding both sides of equations.

x  terms  and y terms are added . then number are added on the right side

Answer:

Option C is correct

Addition property of Equality justifies the step.

Step-by-step explanation:

Given the system of equation:   x+y = 8  and x-y = 2.

Addition Property of Equality: The method of solving systems of linear equations is the addition Property, in which the two equations are added together to eliminate one of the variables.

Adding the equations states that we add the left sides of the two equations together, and we add the right sides together.

Using the addition property in equation: x+y=8 and x-y =2

then,

[tex](x+y)+(x-y)=8+2[/tex]  or

[tex](x+x)+(y-y)[/tex] =10

Eliminate the y- variable; we have

2x=10

Therefore, the only property justifies the step is, Addition Property of Equality.

Two decimals equivalent to 8.1 are 8.100 and 8.10. Zeroes added after the decimal do not change the value. 08.1 is also equivalent to 8.1 as a zero before the decimal does not alter the value.

Two decimals equivalent to 8.1 could be represented as 8.100 and 8.10. The reason for this is that adding zeros at the end of a decimal does not change its value. So, 8.100, 8.10, and 8.1 all represent the same decimal value.

Similarly, we can place a zero before the decimal, then 08.1 would be equivalent to 8.1. Note that the zero that comes before the decimal point does not change the actual value of the number.

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A: The other related equations would be:

K = °C + 273.15

K = °F + 457.87

Note: There are other equations that can be related, these are just ones that I find to be related. This is open to interpretation.

B:

23° C + 273.15 = 269.15 K

C:

300 K - 273.15 = 26.85 °C

300 Kelvins is greater than 25 degrees Celsius.

Answer

Find out the how many rows will there be .

To proof

let us assume that the number of the rows will be x.

As given

There are 112 students in the Hammond Middle School marching band.

The band director wants students to march with 14 students in each row for the upcoming parade.

than the equation becomes in the form

[tex]x = \frac{112}{14}[/tex]

x = 8

Therefore the number of the rows will be 8.

Hence proved

1 has the  greatest value in the number 1,567.

A number's place value is the worth of each digit. Depending on where it sits in a number, each digit has a varied value. The position of the digit in the number determines whether two similar digits in the same number have different values.

For example, the place value of 5 in 3458 is 5 tens, or 50. However, the place value of 5 in 5781 is expressed as 5 thousands or 5,000.

Given number:

1567

Now, keep looking the place value of each digit

7 - ones ---> 7x 1

6 - tens ---> 6 x 10

5 - hundred ---> 5 x 100

1 - thousand ---> 1x 1000

As, 1 has thousand place value.

Hence, 1 has the  greatest value in the number 1,567.

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Answer:

that guy deserves the brainliest so this is just so you can get it to him

Step-by-step explanation:

Hey there!!

Given :

g(x) = ax² + 24

and

g(4) = 8

g(4) = a(4)² +24

g(4) = 16a + 24

8 = 16a + 24

-16 = 16a

a = -1

The constant is -1.

g(-4) =?

g(-4) = -1(-4)² + 24

g(-4)  = -16 + 24

g(-4) = 8

The answer is (A)

Hope it helps!

D is the correct answer I think.

By substituting y = 2x into the second equation and combining like terms, we get the equation 8x = 16.

This question is from the field of Algebra. You are asked to substitute the first equation into the second equation, then simplify by combining like terms. Substituting y = 2x from the first equation into the second equation 2x + 3y = 16, we replace y with 2x, thus transforming the second equation into 2x + 3(2x) = 16. Distributing the 3 to the 2x within the parentheses gives us 2x + 6x = 16. By combining the like terms on the left side, we get 8x = 16 which is option A.

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you need a lot to explain

the table below:

Grade        In favor   Opposed Undecided    Total

Grade 9     6                   4                       8                18

Grade 10     10         11                        9                30

Grade 11     12        15                      11                  38

Grade 12     15        6                      14                  35

If the principal randomly selects a student in grade 10 from this survey,

the probability that the student is opposed to extending the school day

P ( student in grade 10 is opposed)= Number of student in opposed(grade10) / total number of students in grade 10

Number of student opposed who is in grade10 = 11

total number of students in grade 10 = 30

P( student in grade 10 is opposed)=  [tex]\frac{11}{30}[/tex]

= 0.37

the probability that the student is opposed to extending the school day= 0.37

Final answer:

The probability that a randomly selected grade 10 student from the survey is opposed to extending the school day is 11/30, or approximately 36.67%.

Explanation:

The student's question pertains to the probability of selecting a grade 10 student who is opposed to extending the school day based on the survey results provided.

To calculate this probability, we consider only the grade 10 students. According to the table, there are 10 students in favor, 11 opposed, and 9 undecided within grade 10, making a total of 10 + 11 + 9 = 30 students surveyed in the tenth grade.

The probability that a randomly selected grade 10 student is opposed to an extended school day is the number of grade 10 students opposed divided by the total number of grade 10 students surveyed.

Mathematically, it can be represented as P(Opposed) = Number of opposed students in Grade 10 / Total number of students in Grade 10 surveyed. By plugging in the numbers:

P(Opposed) = 11 / 30

Therefore, the probability is 11/30 or approximately 0.3667, which can be expressed as a percentage by multiplying by 100, yielding about 36.67%.

2x² + 4x + 2

using long division to obtain the quotient

The result of dividing the polynomial 2x³ + 6x² + 6x + 2 by x + 1 is 2x² + 4x + 2, which can be obtained using synthetic division.

The given question is about polynomial division. To divide a polynomial, we commonly use long division or synthetic division. In this case, we are dividing the polynomial 2x³ + 6x² + 6x + 2 by (x + 1).

Using synthetic division, we get:

Therefore, the quotient is 2x² + 4x + 2.

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multiplying by 0 will make the answer 0.

7 3/8(0) = 0

(7 3/8)x = 0

Answer:

The answer is 0 hope this helps

Step-by-step explanation:

[tex]Q6.\\v(x)=x^2-20\\\\v(x+4)=(x+4)^2-20=x^2+2(x)(4)+4^2-20\\=x^2+8x+16-20=x^2+8x-4[/tex]

[tex]TRUE[/tex]

[tex]Q7.\\c(x)=5x^2+12x,\ d(x)=7x+5x^2\\\\c(x)-d(x)=(5x^2+12x)-(7x+5x^2)=5x^2+12x-7x-5x^2\\\\=(5x^2-5x^2)+(12x-7x)=5x[/tex]

[tex]Q8.\\f(x)=6x+1,\ f(a)=25\\\\f(a)=6a+1\\\\\text{substitute}\\\\6a+1=25\qquad|-1\\\\6a=24\qquad|:6\\\\a=4[/tex]

The correct answer is a = 4

That would be $1.50 per Gallon

-3x + 2y + z = -6

(3)x + 3y + 2z = 5(3) We want to get rid of any variable within 2 equations. The easiest one would be by multiplying both sides of eq#2 by 3 and add it to eq#1.

-3x+2y+z=-6

3x+9y+6z=15

Add them together to get 11y+7z=9

(-4)x+3y+2z=5(-4) Now,multiply the original eq#2 by -4 to cancel out x in the last equation

-4x-12y-8z=-20

4x + 4y + 3z = 13

add them together to get -8y-5z=-7

Now multiply the eq 11y+7z=9 by 5 and the equation -8y-5z=-7 by 7 to cancel out the z variable when we add them together.

Once we multiply them, we get

-56y-35z=-49

55y+35z=45

add them together to get -y=-4 and we know y=4

substitute y into any equation here that has y and any other 1 variable like -8y-5z=-7 and get z=-5

Finally, we know y=4 and z=-5, we can substitue that into any of the original eqs like  -3x + 2y + z = -6 and we get x=-3

To check, just substitute these values into any of the equations above

Answer: D

Step-by-step explanation:

  y = x² + 16x + 70

-70                 -70

y - 70 = x² + 16x         next, complete the square by adding [tex](\frac{16}{2})^{2}[/tex] to both sides

y - 70 + 64 = x² + 16x + 64   remember that x² + 16x + 64 is a perfect square of (x - 8)²

y - 6 = (x + 8)²

   +6              +6

y      = (x + 8)² + 6

The state of texas covers approxmiately 268,581 squared mi. During a hail storm the entire state is covered in 1billion meters of hail.(average radius of 1.4292cm)assume the hail falls so that the gaps of air are limited to 26% of the volume.

Answer:

the answer is C. 146 miles

The term 'pageant' is most similar in meaning to 'show.' Both terms refer to public exhibits or performances intended to entertain.

The word pageant is conceptually closest in meaning to the term 'show.' A pageant typically refers to a public entertainment consisting of a procession of people in elaborate, colorful costumes, or an outdoor performance of a historical scene. This coincides with the term 'show,' which generally signifies a public display or exhibition, especially when intended to entertain. Drawing from the research conducted by anthropologist Marcia Ochoa, we commonly see pageants in the context of beauty competitions, such as Miss Venezuela, or similar contests held by specific communities, such as transformistas in Venezuela. These events focus on the public presentation of candidates, much like a show.

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The word “pageant” is most similar in meaning to “show”.

The word “pageant” is derived from the Latin word "pagina," which means a play or stage. In modern usage, a pageant is a public entertainment consisting of a procession of people in elaborate, colorful costumes, or an outdoor performance of a historical scene. It’s essentially a type of show that is often grand and celebrates a special event or anniversary.

Beauty: This term often refers to a combination of qualities, such as shape, color, or form, that pleases the aesthetic senses, especially the sight. In the context of a beauty pageant, it’s a show that judges its contestants primarily on their physical appearance. However, the term “beauty” itself doesn’t convey the aspect of a show or performance that “pageant” does.

Sovereign: This term refers to a supreme ruler, especially a monarch. A sovereign might be a figure in a pageant, but the word “sovereign” itself refers to a position of power and rule, not a show or performance.

Gallant: This term is used to describe someone brave, heroic, or chivalrous. A person might behave gallantly in a pageant, but again, the word “gallant” itself doesn’t convey the meaning of a show or performance.

So, among the options provided, “pageant” is most similar in meaning to “show”, as both involve a public display or performance.

Answer:

4.5 ÷ 3

Step-by-step explanation:

9/3 = 4.5

therefore this is the same as the previous expression

Final answer:

The expression 9/2 / 3 is equivalent to 9/2 * 1/3, which simplifies to 9/6 or 1.5. This multiplication by the reciprocal ensures the equality of the operation.

Explanation:

The expression 9/2 / 3 can be understood in terms of multiplication and division. When we divide by a number, it is the same as multiplying by its reciprocal. In this case, dividing by 3 is the same as multiplying by 1/3. Hence, we can rewrite the expression as 9/2 * 1/3.

To calculate this, we multiply the numerators together and the denominators together:

(9*1) / (2*3) = 9 / 6 = 1.5, or 3/2 when written as a fraction.

Performing the same operation on both sides of the equals sign maintains the equality. So, if any fraction has the same number in the numerator and the denominator, that fraction is equal to 1.

The number after rounded to nearest whole number is,

⇒ 28

We have to given that,

To round the number 28.37 nearest whole number.

Since, Rounding numbers refers to changing a number's digits such that it approximates a value. The provided number is more simply represented by this value.

Here, Number is,

28.37

Since, 3 < 5

Hence, The number after rounded to nearest whole number is,

⇒ 28

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