can anyone help???????????​

Answer:  a + ( 2a - 7 ) = 41

Explanation:

Let be "a" the Nicci's age and "s" the Nicci's sister.

You know that the sum of Nicci's age and her sister's age is 41. This can be represented with the following equation:

a + 8 = 41

And knowing that Nicci's sister is 7 years less than twice Nicci's age, you can write another equation to represent this:

8 = 2a - 7

Now, substitute the second equation into the first equation in order to find the equation that represents this relationship.

Then, this is:

a + ( 2a - 7 ) = 41

Hope it helps...

Answer:

= 3.6

Step-by-step explanation:

Do you know how to find the volume of a cylinder? Like any prism, it's area of base x height, in this case the base is a circle of radius 1.2m.

Density is simply mass / volume (kg / m3 ).

clarify its 1.2 x 3 = 3.6

12400 / 3.6 = 3.444 occuring

9514 1404 393

Answer:

  b. x = π/2, x = 3π/2

Step-by-step explanation:

The maximum is found where the argument of the cosine function is a multiple of 2π.

  2x -π = 2nπ

  2x = (2n+1)π . . . . . . . add π

  x = (2n+1) · π/2 . . . . . divide by 2

  x = {π/2, 3π/2}

Answer:

if it takes the lorry ten hours we divide 400 by 10

40 mph

if it takes 15% longer that means it will take

10*1.15=11.5

if we divide 400 by 11.5

we get 34.7826086957

or 34.8

so the lorry travels 5.2 mph faster then the expected speed

Hope This Helps!!!

Answer:

the correct answer is 10

Answer:

2

Step-by-step explanation:

Value = 80

Mean = 70

Variance = 25

Standard deviation=root(Variance)=root(25)=5

z score = (value - mean)/standard deviation

            = (80-70)/5

            = 10/5

            = 2

z-score using mean 70 and variance 25 is 2

Given :

A final statistics exam had a mean of 70 and a variance of 25

First we find out standard deviation using variance

standard deviation =[tex]\sqrt{variance} =\sqrt{25} =5[/tex]

Now we find out z-score

[tex]z-score =\frac{value - mean}{standard \; deviation }[/tex]

value =80

mean=70 and standard deviation =5

substitute all the values

[tex]z-score = \frac{80-70}{5} =2[/tex]

So, his z-score using mean and variance is 2

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Step-by-step explanation:

20% of the length is 23 cm

100% of the length is 23×5 = 115 cm

Answer:

Amber rode for 36 minutes in total.

Step-by-step explanation:

Lets create a ratio table:

Time elpased (minutes) : Laps around park

                                    9 : 1

                                  36 : 4

Amber rode for 36 minutes in total.

đã đi 36 phút.

từng bước

                                   9: 1

                                 36: 4

Amber đã đi tổng cộng 36 phút.

Answer:

12

Step-by-step explanation:

The ratio is 9:30

So for 40 people , it would be ?:40

Find the number that, when multiplies, by 30, equals 40. This is 1 1/3, or 1.3333... So multiply 9 by 1 1/3: 9 * 1 = 9, 1/3 * 9 = 3. ( + 3 = 12, so 12 pizzas

Answer:

12 i think

Step-by-step explanation:

Answer:

Hence,

a)

Test statistic [tex]X^{2}[/tex] = 9.269.  

p value = 0.148

b)

Sunday=  15.23%, Monday= 12.62%, Tuesday= 13.10%, Wednesday=11.67%,

Thursday= 13.10%, Friday= 16.19%, Saturday= 18.09%.

Step-by-step explanation:

a)

                    relative observed    Expected       Chi square

Category   frequency(p)      [tex]O_{i}[/tex]    Ei=total*p    [tex](O-E)^{2}[/tex] [tex]R^{2}_{i} =(O_{i} -E_{i} )^{2} /E_{i}[/tex]

     1           0.142857143      64.0         60.00    16.00          0.267

    2           0.142857143      53.0       60.00     49.00         0.817

    3           0.142857143      55.0         60.00     25.00        0.417

    4           0.142857143      49.0       60.00     121.00        2.017

    5           0.142857143      55.0         60.00     25.00        0.417

    6           0.142857143      68.0         60.00     64.00        1.067

    7           0.142857143      76.0         60.00    256.00        4.267

  Total         1.000      420        420             556       9.269

Test statistic [tex]X^{2}[/tex] = 9.269.  

p value = 0.148 from excel: chidist(9.269,6)  

b)

Percentage %= Frequency of traffic occur on category x 100 / Total number of frequency given.

Category          Percentage%

Sunday                   15.23%

Monday                    12.62%

Tuesday                   13.10%

Wednesday           11.67%

Thursday           13.10%

Friday                   16.19%

Saturday                   18.09%

Answer: 24 years

Step-by-step explanation:

Based on the information given, we've been given,

Principal = #250

Interest = #120

Interest rate = 2%

Time = Unknown

Interest = PRT/100

120 = (250 × 2 × Time)

Cross multiply

120 × 100 = (250 × 2 × T)

12000 = 500T

Time = 12000/500

Time = 24

It will take 24 years.

Answer:

Step-by-step explanation:

Area stage = 1/2 h (ab +cd)

Area = 5(14+22)

meeting center Area = 180

room = 25*32 = 800

800-180 = 620 tile

620*$4.90 = $3038

So no not enough money....

Note: even if it was $2999 it still would not be enough because

you have to cut tiles to fit in corners and edges... Just having fun with that comment, the math problems sometimes don't take reality into account (ha ha ha)

Answer:

2

Step-by-step explanation:

-(-2)

negative x negative always give positive .

=>2

You can easily represent 2 on number line

Answer:

nnmb cgchmfxmgfmv vb  ,  mnio qrstuvwxyz

abcdefghijklmnoprstuvxxyz

Step-by-step explanation:

now i know my abcs next time wont you sing with me

Answer: 4125

Step-by-step explanation:

S.I = P X R /100 X T

S.I = 110000 x 5/100 x 9/12 = 4125

= 4125

Answer:

Jhhhuujjjjhfuudjdjdjdjdirr

Answer:

She has 90.96 miles of the trail to hike.

Step-by-step explanation:

Length of the trail:

The length of the trail is of 113.7 miles.

On the first day she hiked of 1/10 the distance of the trail.

Thus:

[tex]\frac{1}{10(113.7) = 11.37[/tex]

On the first day she hiked 11.37 miles.

On the second day she hiked the same distance as the first day.

Also 11.37 miles on the second day, and thus, 2*11.37 = 22.74 miles on the first two days.

How much of the trail does she have left to hike?

113.7 - 22.74 = 90.96

She has 90.96 miles of the trail to hike.

Answer:

[tex]A * B = \left[\begin{array}{ccc}10&-6\\8&5\\19&-10\end{array}\right][/tex]

Step-by-step explanation:

Given

[tex]A =\left[\begin{array}{cc}2&-2\\3&4\\4&-3\end{array}\right][/tex]

[tex]B = \left[\begin{array}{cc}4&-1\\-1&2\end{array}\right][/tex]

Required

[tex]AB[/tex]

To do this, we simply multiply the rows of A by the column of B;

So, we have:

[tex]A * B = \left[\begin{array}{ccc}2*4 + -2*-1&2*-1+-2*2\\3*4+4*-1&3*-1+4*2\\4*4-3*-1&4*-1-3*2\end{array}\right][/tex]

[tex]A * B = \left[\begin{array}{ccc}10&-6\\8&5\\19&-10\end{array}\right][/tex]

The linear equation of line passing through the (-14,-5) and (4,5) is given by -5x + 9y = 25

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( -14 , -5 )

Let the second point be Q ( 4 , 5 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( -5 - 5 ) / ( -14 - 4 )

Slope m = -10 / -18

Slope m = 5/9

Now , the equation of line is y - y₁ = m ( x - x₁ )

y - 5 = ( 5/9 ) ( x - 4 )

Multiply by 9 on both sides , we get

9y - 45 = 5x - 20

Adding 45 on both sides , we get

9y = 5x + 25

Subtracting 5x on both sides , we get

-5x + 9y = 25

Hence , the equation of line is -5x + 9y = 25

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Answer:

Kindly check explanation

Step-by-step explanation:

Given :

Interest amount paid on loan = $90

Principal value, amount borrowed = $500

Period, t = 16 days

The equivalent annual interest :

Using the simple interest formula :

simple interest = principal * rate * time

Using, days of year = 365

Plugging in the values into the formula :

90 = 500 * rate * (16/365)

90 = 500 * rate * 0.0438356

90 = 21.917808 * rate

Rate = 90 / 21.917808

Rate = 4.10 = 4.10 * 100% = 410%

If days of year = 360 is used :

90 = 500 * rate * (16/360)

Rate = 90 / 22.222

Rate = 4.05 = 4.105 * 100% = 405%

Answer:

Step-by-step explanation:

In order to determine the perpendicular slope to the given line, we first need to determine the slope of the given line, which is not apparent in its current form. We need to solve the equation for y to determine the slope:

2y = 3x + 1 in slope-intercept form is

[tex]y=\frac{3}{2}x+\frac{1}{2}[/tex] .  Therefore, the perpendicular slope, the opposite reciprocal of the given slope of 3/2 is -2/3. Passing through the point (3, 2):

[tex]y-2=-\frac{2}{3}(x-3)[/tex] and

[tex]y-2=-\frac{2}{3}x+2[/tex]  so

[tex]y=-\frac{2}{3}x+4[/tex], the second choice down.

Answer:

53 degrees

Step-by-step explanation:

tan(theta)=8/6,

theta= [tex]tan^{-1} (\frac{8}{6} )=53.13 degree[/tex]

Answer:

His mark, as a percentage, was of 40%.

Step-by-step explanation:

Mark as a percentage:

His mark as a percentage is the number of questions correct multiplied by 100% and divided by the number of questions.

In this problem:

60 questions correct out of 150. So

60*100%/150 = 40%

His mark, as a percentage, was of 40%.

Answer:

A= ~2.55

Step-by-step explanation:

Using Pemdos, or gemdos, you can find you do the exponent first

4^2 = 16

then to everything else in left to right order since they're all multiplication or division

22/7 = ~3.14 * 13 = ~40.86/16 = ~2.55

(I'm using "~" to mean about/rounded to)

Answer:

[tex]8.19 \times 10^{4}[/tex] different playlists are possible

Step-by-step explanation:

The order in which the songs are played is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

6 songs, so 2 reggae(from a set of 5), 2 hip hop(from a set of 15) and 2 blues(from a set of 13). So

[tex]T = C_{5,2}C_{15,2}C_{13,2} = \frac{5!}{2!3!} \times \frac{15!}{2!13!} \times \frac{13!}{2!11!} = 10*105*78 = 81900[/tex]

In scientific notations:

4 digits after the first, which is 8, so:

[tex]8.19 \times 10^{4}[/tex] different playlists are possible

Answer:

No solution is possible from the informatin provided.

Step-by-step explanation:

You didn't include the table,

Answer:

y intercept is found from the pair that has a 0 for the x variable.

Step-by-step explanation:

if a choice was (0,2) this would be the point where the line intercepts the y axis.

x=0 is the position of the vertical line, and 2 is how high up the graph the line passes through the y-axis

The study conducted in the scenario above is an experimental study because the subjects were given treatment.

Observational study involves monitoring the relationship between variables through observation without giving any treatment during the course of the study.

Experimental study on the other hand involves the introduction of a treatment or intervention in other to study the cause and effect or relationship between the variables.

In the scenario above, the research intends to demonstrate the effectiveness of a treatment(magnets) for back pain. The presence of a treatment in this research study makes it an experimental study.

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Answer: Yes

Step-by-step explanation:

Answer:

2.1

Step-by-step explanation:

Given :

3m-4.2 where, m=2.1

Now,

3(2.1)-4.2

6.3-4.2

2.1

Answer is 2.1