Which algebraic expression represents the phrase “seven more than half of a number”?
7 minus one-half x
Negative 7 + one-half x
One-half x + 7
Negative one-half x minus 7

Answer:

4/3

Step-by-step explanation:

To find the slope you use the equation y2 - y1 / x2 - x1. This means you take the y variable from your 1st point and subtract it from the y variable from the 2 one. ex: 1 - (-3) = 4 And then put it over the x variable from the first one subtracted from the x variable of the second one ex: 5 - 2 = 3 -> 4/3. If possible, simplify, but if it's like this one you don't have to.

Answer:

second one I think is best for you to do

Answer: Plain coffee

Step-by-step explanation:

The two branches (2 and 3) divide into the two drinks of the sale. Since espresso is already in the diagram and coffee is not, and coffee is independent from espresso, coffee is found in box 1.

Answer:

12

Step-by-step explanation:

Answer:

In algebra, it is easy to find the third value when two values are given. Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

2 times 3 6

2 times 5 is 10

Answer:

30

Step-by-step explanation:

The LCM of 6 and 10 is 30.

Answer:

First image attached

The error was done in Step E, because student did not multiply [tex]2\cdot x -8[/tex] by the negative sign in numerator. Step E must be [tex]\frac{2\cdot x -5}{(x+4)\cdot (x-4)}[/tex].

Second image attached

The error was done in Step C, because the student omitted the [tex]2\cdot a \cdot b[/tex] of the algebraic identity [tex](a+b)^{2} = a^{2}+2\cdot a\cdot b +b^{2}[/tex]. Step C must be [tex]5\cdot x = x^{2}+4\cdot x + 4[/tex]

Step-by-step explanation:

First image attached

The error was done in Step E, because student did not multiply [tex]2\cdot x -8[/tex] by the negative sign in numerator. The real numerator in Step E should be:

[tex]3-(2\cdot x -8)= 3-2\cdot x+8 = 11-2\cdot x[/tex]

Hence, Step E must be [tex]\frac{2\cdot x -5}{(x+4)\cdot (x-4)}[/tex].

Second image attached

The error was done in Step C, because the student omitted the [tex]2\cdot a \cdot b[/tex] of the algebraic identity [tex](a+b)^{2} = a^{2}+2\cdot a\cdot b +b^{2}[/tex]. Step C must be [tex]5\cdot x = x^{2}+4\cdot x + 4[/tex]

And further steps are described below:

Step D

[tex]x^{2}-x+4 = 0[/tex]

Which according to the Quadratic Formula, represents a polynomial with complex roots. That is: ([tex]a = 1[/tex], [tex]b = -1[/tex], [tex]c = 4[/tex])

[tex]D = b^{2}-4\cdot a\cdot c[/tex]

[tex]D = (-1)-4\cdot (1)\cdot (4)[/tex]

[tex]D = -17[/tex] (Conjugated complex roots)

Step E

[tex](x-0.5-i\,1.936)\cdot (x-0.5+i\,1.936) = 0[/tex]

Step F

[tex]x = 0.5+i\,1.936\,\lor\,x = 0.5-i\,1.936[/tex]

Answer 8400 divided by 7 is 1200

Answer: >

Step-by-step explanation:

7 eights is greater than the amount of 2 thirds.

The answer to the question is >. Hope this helps!

The range of the domain 0. 1, 2, 3, 4, and 5 would be 5.

When the sample maximum and minimum are subtracted, the range of a collection of data is the difference between the greatest and lowest values. It uses the same units as the data to express itself.

The lowest and largest numbers in the set of data are subtracted to determine the range. Here, the numbers are 0 and 5. Thus, after subtraction, you get 5.

The range will be calculated as:-

Range = 5 - 0

Range = 5

Hence, the range will be 5.

To know more about the range follow

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Answer:

D

Step-by-step explanation:

[tex]\frac{x}{4}\leq \frac{9}{x} \\x\leq \frac{36}{x} \\let x<0\\x^2\geq 36\\|x|\geq 6\\x\leq -6~and ~x\geq 6\\but~x<0\\so~x\leq -6\\again~let~x> 0\\\\x\neq ~0\\x^2\leq 36\\|x|\leq 6\\-6\leq x\leq 6\\as~x>0\\so~0< x\leq 6[/tex]

combininig the two cases

x≤-6 and 0<x≤6

Answer:

18h - 3hk

Step-by-step explanation:

3h(6 - k)

= 3h(6) + 3h(-k)

= 18h + -3hk

= 18h - 3hk

The simplified for of the expression 2.3h(6 - k) can be written as 13.8h - 2.3hk

Given the expression :

2.3h(6 - k)

Open the bracket ; multiply values in the bracket by 2.3h

13.8h - 2.3hk

Since there is no other way to reduce the expression further, then the simplified form of the expression would be expressed as 13.8h - 2.3hk

Learn more : https://brainly.com/question/18109354

Answer:

181 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

To find how many hours they work per month multiply the amount of hours they work each day by the amount of days they work in a month:

[tex]22 *8\frac{1}{4} = 181\frac{1}{2}[/tex]

They work [tex]181\frac{1}{2}[/tex] hours per month.

Hope this helps :)

Let H = the amount of hours the employee works per month.

H = 22 • 8_1/4

H = 22 • 33/4

H = 11 • 33/2

H = 363 ÷ 2

H = 181.5 hours per month

Answer:

2nd answer. it is because it is

Answer:

I believe the correct answer is the first one

Step-by-step explanation:

Answer:

5

_

2

IS THE SLOPE OF (2,5) (4,10)

Answer:

Slope = 5/2

Step-by-step explanation:

10-5

4-2

Answer:

1.306

Step-by-step explanation:

1.3 is bigger than

1.03

Answer:

1.306 is greater

Step-by-step explanation:

In the ones place, the number one is equal for both numbers, so you move to the next number in the tenth place, which is .0 and .3 Three is greater than zero, which makes 1.306 greater than 1.036.

Answer:

42

Step-by-step explanation:

Answer:

Well, I dont know how many people there are, but she would have 40 slices of pie if she bought 5 pies with 8 slices each.

Step-by-step explanation:

5 x 8 = 40

5+5+5+5+5+5+5+5=40

Answer:

[tex]\displaystyle m=\frac{3}{5}[/tex]

Step-by-step explanation:

The slope of a line.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

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

We are given the points (-8,-11) and (17,4).

[tex]\displaystyle m=\frac{4+11}{17+8}[/tex]

[tex]\displaystyle m=\frac{15}{25}[/tex]

[tex]\mathbf{\displaystyle m=\frac{3}{5}}[/tex]

Answer:

y=−3x-5

Step-by-step explanation:

Answer:

Find the slope of the original line and use the point-slope formula y−y1=m(x−x1)to find the line parallel to y=−3x+4y

y=−3x−5y

Answer:

The most frequently employed tools are traditional, which include physical ... These three tools can be used independently or conjointly, depending on the type of ... Learning tools can represent mathematical ideas in multiple ways, providing ... nature of concepts, such as numbers, thereby making them real and tangible,...

Step-by-step explanation:

Answer:

ok, $65+$50+$8=123

Step-by-step explanation:

Answer: [tex]1\dfrac{3}{4}\text{ feet}[/tex]

Step-by-step explanation:

Given: Length of sandwich = [tex]10\dfrac12\text{ feet}=\dfrac{21}{2}\text{ feet}[/tex]

Total people = 14

If everyone gets a same sized piece , then length of each piece should be

[tex]\dfrac{\text{ Length of sandwich}}{\text{Total people}}[/tex]

[tex]=\dfrac{\dfrac{21}{2}}{14}\text{ feet}\\\\=\dfrac{21}{2\times14}\text{ feet}\\\\=\dfrac{7}{2\times2}\text{ feet}\\\\=\dfrac{7}{4}\text{ feet}\\\\=1\dfrac{3}{4}\text{ feet}[/tex]

Hence, length of each piece = [tex]1\dfrac{3}{4}\text{ feet}[/tex]

Answer: b.

Step-by-step explanation: I have the answer sheet

Answer:

$1085.516

Step-by-step explanation:

just multiply 1323.80 and 0.82

Answer:

x = 88

Step-by-step explanation:

All angles in a triangle equal 180 degrees. So our equation will be:

x + 48 + (x - 44) = 180

x + 48 + x - 44 = 180

2x + 48 - 44 = 180

2x + 4 = 180

2x = 176

x = 88

Hope this helps!

Answer: (0.79, 3.05 )

Step-by-step explanation:

Confidence interval for the population mean:

[tex]\overline{x}\pm z^c\dfrac{\sigma}{\sqrt{n}}[/tex]

, where [tex]\overline{x}[/tex] = Sample mean

[tex]\sigma[/tex] = population standard deviation

n= sample size.

[tex]z^c[/tex] = Critical z value for confidence interval c.

As per given:

n= 10

[tex]\overline{x}=1.92[/tex]

[tex]\sigma=1.83[/tex]

Critical z-value for 95% confidence = 1.96

A 95% confidence interval for the mean opinion in the population of all licensed drivers:-

[tex]1.92\pm (1.96)\dfrac{1.83}{\sqrt{10}}\\\\=1.92\pm1.134\\\\= (1.92-1.134,\ 1.92+1.134)\\\\\approx(0.79,\ 3.05 )[/tex]

Hence, a 95% confidence interval for the mean opinion in the population of all licensed drivers = (0.79, 3.05)

Answer:

Step-by-step explanation:

Given:

∠DCE ≅ ∠DEC

∠B ≅ ∠F

DF ≅ BD

To prove:

ΔABC ≅ ΔGFE

Solution:

                  Statements                            Reasons

1). ∠DCE ≅ ∠DEC                                1). Given

2). ∠ACB ≅ ∠GEF                               2). Vertically opposite angles to the

                                                                 congruent angles.

3). ∠B ≅ ∠F                                         3). Given

4). DB ≅ DF                                         4). Given

5). DC + CB ≅ DE + EF                       5). Segment addition postulate

6). DC ≅ DE                                        6). Property of isosceles triangle

7). CB ≅ EF                                         7). Transitive property

8). ΔABC ≅ ΔGFE                              8). ASA property of congruence

Answer:

2.21

Step-by-step explanation:

Total meters of wood = 7.58

first time shopping: 2.25

second time shopping: 3.12

total = 2.25 + 3.12

total = 5.37

How many more meters of wood does Jack need to buy for his school project?

Meters needed = 7.58 - 5.37

Meters needed = 2.21

Answer:

9.1 or 9.1 ≈ 9

Step-by-step explanation:

All you have to do is divide 64/7 which gives you the number of containers.

Hope this helps!