2/5 kilogram of soil fills 1/3 of a countainer. Can 1 kiligram of soil fit in the container?

Answer:

7580

Step-by-step explanation:

The formula for the sum of an arithmatic sequence is

[tex]\frac{n}{2} (a_{1} + a_{n})[/tex],

where n = total number of terms (in this case 40)

[tex]a_{1}[/tex]= the first term (in this case 14)

and [tex]a_{2}[/tex] = the last term (we will need to find this)

to find the last term, we can use this formula:

[tex]a_{n} = a_{1} + (n-1)d[/tex]

where d is the difference between each term (in this case 9, because 23 - 14 = 9, and 32 - 23 = 9)

thus, [tex]a_{n}[/tex] = 14 + (40 - 1)9 = 14 + 39*9 = 14 + 351 = 365

plug this back into the first formula to get

Σ = [tex]\frac{40}{2}[/tex] (14 + 365) = 20(379) = 7580

Answer:

70

Step-by-step explanation:

180 - 55 -55 = 70

Answer:

3th one

Step-by-step explanation:

Answer:

i am not completely sure, im a bit rusty on this, but if im correct the answer is Option 1. I hope you get it right :)

Step-by-step explanation:

Answer:

OF

Step-by-step explanation:

the shapes are the same, but bigger so you literally just find the same line from shape 1 to shape 2, but bigger

Answer:

the correct side is OP

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

My work:

3x4=12

12+12=24

6-4=2

2+2+2=6

24÷6=4

Your answer:

4

Hope this helps!

-Alex

Answer:

18.

Step-by-step explanation:

3 x 4 = 12, 12 times 12 equals 144, 6 - 4 equals 2, and 2 times 2 times 2 is 8, and 144 / 8 = 18.

Answer:

Take 148÷37. Which equals 4. The answer is C.

Answer:

$167.08

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 9.63%/100 = 0.0963 per year,

then, solving our equation

I = 347 × 0.0963 × 5 = 167.0805

I = $ 167.08

The simple interest accumulated

on a principal of $ 347.00

at a rate of 9.63% per year

for 5 years is $ 167.08.

Answer:

Step-by-step explanation:

Given equation

2^x = -2x + 4

To solve graphically, following steps required

1. Graph the function

2. Graph the function

3. Identify any intersection of the lines

4. Take the x-coordinates of the intersection points and record as solution

See attached, the answer and the solution of the given equation

The solution is

Answer:

Graph the curve that models 2^x.

Graph the line that models -2x+4.

Identify all points of intersection of the two graphs.

Solutions to the equation are the x-coordinates of points of intersection.

Answer:

9.y=Mx+b

   Y= 2/5x+4

10. y=Mx+b

     Y=4x-5

Step-by-step explanation:

Answer:

9) [tex]y=\frac{2}{5} x+4[/tex]

10) [tex]y=4x-5[/tex]

Step-by-step explanation:

Slope-intercept form is [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept, or the value of y when the line crosses the y-axis.

Question 9

[tex]y=mx+b[/tex]

The question tells us that the slope of the line is [tex]\frac{2}{5}[/tex]. Because the slope is [tex]m[/tex], plug [tex]\frac{2}{5}[/tex] into the equation as [tex]m[/tex].

[tex]y=\frac{2}{5} x+b[/tex]

Then, it tells us that the y-intercept is (0,4). Recall that the y-intercept is the value of y when the line crosses the y-axis. The value of y in the point (0,4) is 4. Because the y-intercept is [tex]b[/tex], plug 4 into the equation as [tex]b[/tex].

[tex]y=\frac{2}{5} x+4[/tex]

Question 10

[tex]y=mx+b[/tex]

First, we must calculate the slope using the slope equation:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

The given points are (0,-5) and (2,3). Plug those into the equation.

[tex]\frac{3-(-5)}{2-0}[/tex]

Two negatives make a positive

[tex]= \frac{3+5}{2-0}\\= \frac{8}{2} \\= 4[/tex]

Therefore, the slope of the line is 4. Plug 4 into the original equation as [tex]m[/tex].

[tex]y=4x+b[/tex]

Now, we can find the y-intercept by simply looking at the graph. The line crosses the y-axis at the point (0,-5). Therefore, the y-intercept is -5. Plug -5 into the equation as [tex]b[/tex].

[tex]y=4x+(-5)\\y=4x-5[/tex]

I hope this helps!

The linear function that relates the helicopter's elevation (E) to the travel time (t) is:

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

In this problem:

Hence, the model is:

You can learn more about linear functions at https://brainly.com/question/13967935

Answer:

E=−493t+14787

Step-by-step explanation:

just got it right on the test

Answer:

68 minutes

Step-by-step explanation:

12.08=0.06x+8

4.08=0.06x

68=x

Answer:

8 + 2n = 42

Step-by-step explanation:

the sum of eight:   ___+ 8

and twice(2) a number(could be any variable but for now i choose n):   2n + 8

is 42 (literally mean it equals 42):    2n + 8 = 42

Answer:

479,001,600 different designs are possible

Step-by-step explanation:

To solve this question, we want to know in how many ways 12 elements can be arranged.

Number of possible arrangements of x elements:

The number of possible arrangments of x elements is given by:

[tex]A_{x} = x![/tex]

In this question:

12 elements. So

[tex]A_{12} = 12! = 479001600[/tex]

479,001,600 different designs are possible

Answer:

N=155 I am pretty sure thats the answer

Answer:

x = 67

y = 169

Step-by-step explanation:

We know that (x-1) + 52 + (y-7) = 180 because they're all on the same straight line. We also know that x-1 = 66, because they are alternate interior angles.

Solve for x:

x-1 = 66

x = 67

Now solve for y:

(67-1) + 52 + (y-7) = 180

y = 169

Answer:

$430.20

Step-by-step explanation:

35.85 x 12= 430.20

Answer:

10/16 is not equivalent to ⅔.

⅛+¾=⅞

Step-by-step explanation:

To simplify to simplest form find the GCF for both and divide on each side.

[tex] \frac{10}{15} = \frac{2}{3} [/tex]

the GCF is 5, so you divide the numerator and denominator by 5 to get 2/3.

[tex] \frac{4}{6} = \frac{2}{3} [/tex]

When you divide the numerator and denominator by 2 (GCF) it would be ⅔.

[tex] \frac{12}{18} = \frac{2}{3} [/tex]

when you divide both the numerator and denominator by 6 (GCF) you get ⅔.

[tex] \frac{10}{16} = \frac{5}{8} [/tex]

when you divide the numerator and denominator by 2 (gcf) you get ⅝.

therefore, 10/16 is not equivalent.

[tex] \frac{1}{8} + \frac{3}{4} = [/tex]

Find the LCM

Least Common Multiple is 16.

8: 8, 16

4: 4, 8, 12, 16

[tex] \frac{2}{16} + \frac{12}{16} [/tex]

for ⅛ you multiply the numerator and denominator by 2 to get 2/16. do the same with 3/4 but with 4 to get 12/16

[tex] \frac{2}{16} + \frac{12}{16} = \frac{14}{16} [/tex]

you can simplify by dividinv both sides by 2 to get 7/8.

Answer:

2 yards is greater then 5 feet

Step-by-step explanation:

A yard is 3 feet, 3+3=6     I hope this helps!

Answer:

170t+D=8500

D=170t−6460

Step-by-step explanation:

Mathematical models are used to explain real life situations.

We can see from the question that the total debt is $8500  while there is  interest rate of 0% for 24 months. We are also told that after 12 months, the remaining debt was $6460.

Now, the equations that correctly model the situation are;

Learn more about mathematical models:https://brainly.com/question/731147

Answer:

216

Step-by-step explanation: 270-20%= 216

Answer:

=12x

Step-by-step explanation:

Answer:

30 is 60% of 50.

Step-by-step explanation:

30 ÷ 60% = 50

Answer:

1) yes, SAS

2) No, there is no SSA theorem

Step-by-step explanation:

1) PR is shared between the two triangles so you know by Side-Angle-Side

Answer:

15.766

Step-by-step explanation:

17 menos 1.234 es 15

Answer:

i think 13

Step-by-step explanation: