which expression is equivalent to the following expression? 4.8 (2-3x) + 1.2x​

Answer:

Mean: 5

Median: 5

Step-by-step explanation:

To find the mean you have to add up all the numbers then divided by the total number of numbers you have.

- 3+6+5+4+7+5+6+4=40

- There are 8 numbers so we would do 40 divided by 8 to get our answer,5

- 3,3,4,4,5,5,6,6,7

You start by taking one number from the smallest number then from the largest number.

-3,3,4,4,5,5,6,6,7 goes to 3,4,4,5,5,6,6,7 then to 3,4,4,5,5,6,6 to 4,4,5,5,6,6 to 4,4,5,5,6 to 4,5,5,6 to 4,5,5 to 5,5 to 5

You repeat that until you are left with the middle number, sometimes you might be left with 2 numbers, you have to add those 2 numbers together then divide the sum by 2. With this situation there aren't 2 medians so you're just left with your answer, 5.

Answer:

Step-by-step explanation:

In the attached figure, we have defined LM to be length x. Then the other lengths on side AC are ...

  AM = LR = x/√3

  RC = (2/√3)RK = (2/√3)(2/√3)x = 4/3x

Then the sum of lengths along AC is ...

  AC = AM +ML +LR +RC

  1 = x(1/√3 +1 +1/√3 +4/3) = x(7/3 +2/√3) = x(7√3 +6)/(3√3)

Then the value of x is ...

  \(x=\dfrac{3\sqrt{3}}{7\sqrt{3}+6}=\dfrac{3\sqrt{3}(7\sqrt{3}-6)}{(7\sqrt{3})^2-6^2}=\dfrac{3(21-6\sqrt{3})}{3(49-12)}\\\\\boxed{MN=\dfrac{21-6\sqrt{3}}{37}}\\\\RK=\dfrac{2\sqrt{3}}{3}MN\\\\\boxed{RK=\dfrac{14\sqrt{3}-12}{37}}\)

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Answer:

15/8 or 1 7/8

Step-by-step explanation:

Multiply the numerator by the number of workbooks (5)

You get 15/8.

Simplify

The length of 5 workbooks is 7 1/8 inch.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Thickness of workbook = 3/8 inch

Total workbooks = 5

So, the thickness of 5 workbooks

=5* 3/8

=15/8

=7 1/8 inch

Hence, the thickness of 5 workbooks is 7 1/8 inch.

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Answer:

20.3

Step-by-step explanation:

1 ml = 0.202884 teaspoons

divide 100 by 0.202884 and you should get your answer

\(\frac{100}{0.202884} =20.2884\)

round it to get 20.3

Hope I helped :)

Answer:

x=90º

y=64º

Step-by-step explanation:

180-67=113

180-75=105

540-90-113-105=232

232/2=116

180-116=64º

180-90=90º

(AAS): If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

The coordinates of point Q under a translation by 4 units to the right and 1 unit up are of:

Q'(5,5).

The image Q' of point Q is plotted on the graph shown at the end of the answer.

There are four translations that are standard, and their rules are defined as follows:

The coordinates of point Q in this problem are given as follows:

Q(1,5).

The translation rule for 4 units to the right and 1 unit up is given as follows:

(x,y) -> (x + 4, y + 1).

Hence the coordinates for the image of point Q are given as follows:

(1,4) -> (1 + 4, 4 + 1) = (5,5).

As shown on the image given at the end of the answer, the coordinates of point Q are given as follows:

(1,4).

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Answer:

0.123

Step-by-step explanation:

Calculated it. .

Answer:

7=thousands

7=hundreds

4=tens

2=ones

Hope this helps

Answer:

Step-by-step explanation:

6x5x7=210

the volume is 7m

Answer:

The slope of the line is

\( \frac{3}{2} \)

Answer:

A=(-2,-2) B=(-2,-6) D=-5,-2 C=(-5,-6)

Step-by-step explanation:

Check the picture below.

Answer: hope it helps

Step-by-step explanation:

2^6=64≡ -1 ( mod 13)

So 2^70=16*(2^6)^11=16*(-)^11(mod 13)

2^70 ≡-16 ( mod 13)

2^70 ≡10 ( mod 13)

Now 3^3=27≡1 ( mod 13)

So 3^70= 3*(3^3)^23≡ 3*(1)^23 ( mod 13)

≡ 3 ( mod 13)

Thus 2^70+3^70 ≡ 10+3 (mod 13)

≡ 0 ( mod 13)

Answer:

the probability that the price will increase is 0.3592 or 35.92%

Step-by-step explanation:

Given the data in the question;

risk free interest rate = 1.98 percent

expectations are ; either increase by 18 percent or decrease by 7 percent over the next 6 months

hence

increment by 18 percent; d = 1 + 18% = 1 + 0.18 = 1.18

reduction by 7 percent; u = 1 - 7% = 1 - 0.07 = 0.93

so the probability that the price of the oil will increase will is;

P = (( 1 + rate ) - u ) / ( d - u )

we substitute

P = (( 1 + 1.98% ) -  0.93 ) / ( 1.18 - 0.93 )

P = (( 1 + 0.0198 ) - 0.93 ) / 0.25

P = ( 1.0198 - 0.93 ) / 0.25

P = 0.0898 / 0.25

P = 0.3592

P = ( 0.3592 × 100 )%

P = 35.92%

Therefore, the probability that the price will increase is 0.3592 or 35.92%

Suppose \(x>0\); then the curves meet when

\(x^2 + \dfrac5{12} = 2 - \dfrac83 x \implies x^2 + \dfrac83 x - \dfrac{19}{12} = \left(x + \dfrac{19}6\right) \left(x - \dfrac12\right) = 0 \\\\ \implies x = \dfrac12\)

By symmetry, they intersect at \(x=\pm\frac12\).

We also see that \(\min\left\{f(x):|x|\le\frac34\right\} = \frac5{12}\) and \(\max\left\{g(x):|x|\le\frac34\right\} = 2\) at \(x=0\). \(f\) and \(g\) are continuous, so it follows that

\(\min\left\{f(x),g(x) :|x|\le\frac34\right\} = \begin{cases} f(x) & \text{if } |x| < \frac12 \\ g(x) & \text{if } |x| > \frac12 \\ f\left(\pm\frac12\right) = g\left(\pm\frac12\right) = \frac23 & \text{if } x = \pm\frac12 \end{cases}\)

Compute the area \(\alpha\). Taking advantage of symmetry again, we have

\(\alpha = \displaystyle 2 \int_0^{1/2} \int_0^{f(x)} dy\,dx + 2 \int_{1/2}^{3/4} \int_0^{g(x)} dy \, dx \\\\ ~~~~ = 2 \int_0^{1/2} f(x) \, dx + 2 \int_{1/2}^{3/4} g(x) \, dx \\\\ ~~~~ = \left. 2 \left(\frac{x^3}3 + \frac{5x}{12}\right) \right\vert_0^{1/2} + \left. 2 \left(2x - \frac{8x^2}6\right) \right\vert_{1/2}^{3/4} \\\\ ~~~~ = \left(\frac12 - 0\right) + \left(\frac32 - \frac43\right) = \frac23\)

and it follows that \(9\alpha = \boxed{6}\).

Answer:

X=8

Step-by-step explanation:

8+1=9

Or

9-1=8

Answer:

x = 8

Step-by-step explanation:

evaluate

x + 1 = 9

subtract 1

x = 8

Answer:

the are so many numbers but here's one of them

Step-by-step explanation:

Since the number is less than 700, it cannot begin with a 7 or an 8.

So the hundreds digit can only be a 2 or a 5.

Now the tens digit can be any digit not occupying the hudreds digit. So there would be 3 possibilities, and there remain two possibilities for the units digit.

Hence, the number of such numbers is 2x3x2 which is 12.

The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 will be 150.

A sample is a group of clearly specified components. The number of items in a finite set is denoted by a curly bracket.

The number of two-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 5 x 5

⇒ 25

The number of three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 5 x 5 x 3

⇒ 125

The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 125 + 25

⇒ 150

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Answer:

a) 15yd

b)2.45ft

Step-by-step explanation:

P = perimeter, l=length and w = width of the rectangle

P = 2l+2w

a) 40 = 2l+2(5)

40 = 2l+10

30=2l

15=l

b) 18.4 = 2(6.75) + 2w

18.4 = 13.5+2w

4.9=2w

2.45=w

Answer: To solve the equation C/9 = 9, you want to isolate the variable C. To do this, you can multiply both sides of the equation by 9 (the denominator of the fraction):

Example: C/9 × 9 = 9 × 9

On the left side of the equation, the 9's cancel out, leaving you with just C:

C = 81

Therefore, the answer to C / 9 = 9 is 81.

Step-by-step explanation: Sincerely, answered by Lizzy ♡ :: as an A+ student, I want to make sure other students can succeed as well, so in my free time: i answer questions like yours on Brainly! if you could click the thanks heart, give me brainliest by clicking the crown, and rate my answer 5 stars, it would be appreciated! have a lovely day! (ᵔᴥᵔ)

Sample Response: Solve by undoing the division by multiplying by 6 on both sides of the equation. The solution is c = 54. Check the solution by substituting 54 for the variable in the original equation and then simplify. 9 = 9 is true, so 54 is the solution.

Answer:

Step-by-step explanation:

A:  V = πr²h

B:  V = 1/3π(2r)²(2h) = 1/3π(4r²)(2h) = 1/3π8r²h = 8/3πr²h

C:  V = π(2r)²(2h) = π(4r²)(2h) = π8r²h = 8πr²h

D:  V = 1/3πr²(2h) = 2/3πr²h

The additional 60 men, the provisions will last for approximately 20 weeks.

To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.

Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.

Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.

To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:

Provisions last = Total person-weeks / Number of men

= 9200 / 460

≈ 20 weeks (rounded to the nearest whole number)

The additional 60 men will extend the supply's shelf life to around 20 weeks.

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Answer:

4

Step-by-step explanation:

3 x 4 = 12, 12 - 4 = 8.

Answer:

Every 10 seconds is 1 gallon

Answer:

D). The American writer and philosopher, Henry David Thoreau comments that by simplifying one's life, "the laws of the universe will appear less complex."

E). The adrenaline produced in our body during a confrontation leads to two possible responses by the person run away to safety, or stand one's ground and fight.

Explanation:

Punctuation marks are elucidated as the signs and symbols that function to enhance the readability of the sentences and indicate the grammatical construction of the readers. It assists them in understanding the meaning of the sentence more clearly and comprehensively.

In the given sentences, the last two sentence are incorrectly punctuated as they both wrongly employ comma(,) in it. Option D inappropriately punctuates comma(,) in the complex sentence while the last option falsely puts comma before conjunction 'or.' Thus, options D and E are the correct answers.

The distance from the safe zone after t seconds is D(t) = 166 - 24t given that drove to get to the safe zone at 24 meters per second and after 4 seconds of driving, she was 70 meters away from the safe zone. This can be obtained by converting the conditions to equations.

A linear function containing one dependent and one independent variable.

It can be represented using the equation,

y = mx + c

where m is the slope

It is given in the question that,

Rachel is a stunt driver and one time during a gig where she escaped from a building about to explode she drove to get to the safe zone at 24 meters per second.

After 4 seconds of driving, she was 70 meters away from the safe zone.

Let, D(t) be the distance to the safe zone (measured in meters) and t be the  time (measured in seconds)

After 4 seconds of driving, she was 70 meters away from the safe zone.

⇒ This means that at t = 4 seconds, D(4) = 70 meters

Rachel's rate is the slope of the function D(t). Since the distance is decreasing when the time is increasing, the slope must be negative

⇒ m = - 24

y = mx + c

⇒ D(t) = (-24)t + c

Put t = 4,

D(4) = (-24)4 + c

70 = -96 + c ⇒ c = 166

⇒ D(t) = 166 - 24t

Hence the distance from the safe zone after t seconds is D(t) = 166 - 24t given that drove to get to the safe zone at 24 meters per second and after 4 seconds of driving, she was 70 meters away from the safe zone.

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