My first question ever, and my last question yet.


Alec and Beau race to compute 1 + 2 + 3 + ... + n. Alec skips two numbers and gets a sum of 92. Beau double-counts two numbers and gets a sum of 145. What is the value of n?

Answer:

B is the answer

Step-by-step explanation: Ok so the problem we are working with is

8 2/9-4 2/3. We will eliminate all the negative answers. So we only have 2 options. When we actually think logically B is the only possible answer.

Answer:

[B] [tex]2\frac{8}{9}[/tex]

Step-by-step explanation:

First of all, it not asking for the answer it asking for the first step.

Secondly, both number are positive (Before subtract)

Hence, this leads us to 2 more answer choices.

When model a number or a fraction on the number line you put the first Value on the number line then the second Value.

Therefore, we can conclude that [B] 2 8/9 is the correct answer.

[RevyBreeze]

Answer:

4

Step-by-step explanation:

ㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇ

Answer:

[tex]276m^{2}[/tex] total area. 78m breadth.

Step-by-step explanation:

First, do 4 multiplied by 3 to find the area of one carpet. The answer is 12m. Then, do 12m multiplied by 23 to get the total area. The answer will be 276m squared. If you want to find width then do 3m multipled by 26 which is 78m.

Answer:

7/6 or 1 1/6

Step-by-step explanation:

when you add or subtract fractions, you have to have a common denominator. in this case, your common denominator is 6

1/2=3/6

2/3=4/6

add the numerators and keep the denominator 6

4+3=7

7/6 or 1 1/6

Answer:

78 ft²

Step-by-step explanation:

The formula for area is:

[tex]Area=length*width[/tex]

A 13 ft by 6ft rectangle means that the length is 13 ft and the width is 6 ft. We can use this information to solve for the area...

[tex]Area=length*width\\Area=13ft*6ft\\Area=78 ft^2[/tex]

Answer:

78 sq feet

Step-by-step explanation:

Area = length × width

If you know two of the sides of the rectangle (that aren't directly across from each other) MULTIPLY the numbers together.

Area = l × w

Area = 13 × 6

Area = 78 sq feet

Answer:

look at the pictures

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

(√(2x+3))^2 =(√(2x+33))^2

2x+3 = 2x+33

Answer:

Step-by-step explanation:

First find the slope(m) between (0,-5) and (-5,-6)

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{-6-(-5)}{-5-0}[/tex] = [tex]\frac{-1}{-5}[/tex] =    [tex]\frac{1}{5}[/tex]

y = [tex]\frac{1}{5}[/tex]x -5

I attached the graph. I used desmos.

Hope that helps!

Answer:

10x

Step-by-step explanation:

Answer:

u lookn hot tonight baby

Step-by-step explanation:

Answer:

Y =mx/10+c/80

Point(8x, 80y) lies on Y =mx +c

Answer: I think it helps with the square units that both squares have.

Step-by-step explanation:

Area of the smaller frame=9in^2

Area of the larger area

[tex]\\ \rm\hookrightarrow 9(14)=126in^2[/tex]

Answer:

sum the previous two terms and then multiply

Answer:

Correct Statements:

1. The graph of A(t) decreases exponentially

4. The graph of A(t) has a y-intercept at (0,1200)

5. Every year, the cell phone loses 8% of its value.

Step-by-step explanation:

Exponential functions are in the form [tex]y=a(b)^x[/tex], meaning this is a exponential function, so it cannot be linear

a on the exponential function form represents the initial value, otherwise known as the y-intercept, and 1200 is a for the given equation

To find the multiplier, you do 1 -r, and since its 0.92, we do 1-0.92 = 0.08 value per year.

Answer: B

Step-by-step explanation:

Answer:

124 miles

Step-by-step explanation:

$14.99 + ($0.80 x m) = $114.19 (where m is miles driven)

$0.80m = $99.20

m = 124

Answer:

We generally know consecutive even integer numbers are 2 , 4 , 6, 8, 10 ............

So we can see there is difference of 2 in consecutive even integer.

So if we let first even integer as 2n.

So we will let three consecutive even integer as 2n , 2n+2 , 2n+4

Their sum is 54.

So we can write











So n = 8

The expression f(n) = 13 - 2n represents a arithmetic progression with {a} = 13 and {d} = - 2.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Given is the expression as follows -

13 - 2n

We can write the expression as a function of (n) as -

f(n) = 13 - 2n

for {n} = 1, we can write - f(1) = 13 - 2 = 11

for {n} = 2, we can write - f(1) = 13 - 4 = 9

for {n} = 3, we can write - f(1) = 13 - 6 = 7

In the similar way we can continue further. We get the sequence as -

13, 11, 9, 7, .....

This is a arithmetic progression with {a} = 13 and {d} = - 2.

Therefore, the expression f(n) = 13 - 2n represents a arithmetic progression with {a} = 13 and {d} = - 2.

To solve more questions on expressions, visit the link below -

brainly.com/question/14591508

#SPJ2

Answer:

360°

Step-by-step explanation:

The sum of the exterior angles of any polygon is 360°

sum of exterior angles of decagon = 360°

The quadrilateral is a trapezoid because it presents two parallel sides with different lengths.

For solving this question, first you need to plot the coordinate points given on the Cartesian graph. After that, you should connect the plotted points with a line. With this, you can see an image of a parallelogram, but you need to inform your specific name.

The image plotted from the coordinate points shows a quadrilateral with two parallel sides and different lengths. Therefore, this quadrilateral is a trapezoid.

Learn more about the trapezoid here:

https://brainly.com/question/24768934

Answer:

16. 40°

17. 40°

18. 50°

19. 45°

20. 135°

Step-by-step explanation:

16. angles opposite to each other are equal

17. 180 - 140 = 40

18. 90 - 40 = 50

19. 65 + 70 = 135

180 - 135 = 45

20. 145 + 80 = 225

360 - 225 = 135

hope this helps :)

Answer:

Step-by-step explanation:

Perimeter of a sector

The circumference of a circle is 2 pi r.

pi = 3.14

r = 21 cm

The angle of this particular sector is 60 degrees.

So the formula for this sector is P = 2*r + 60/360 * 2* pi * r

Now all you need do is plug the numbers in.

P = 2 * 21 + 1/6 * 2 * 3.14 * 21

P = 42 + 21.98

P = 63.98

Area of the sector

Area of a circle = pi * r^2

Area of a sector = theta / 360 * pi * r^2

theta = 60 degrees

area of this sector = (60/360) * 3.14 * 21^2

Area of this sector = (1/6) * 3.14 * 441

Area of this sector = 230.79

[tex]\bold{\huge{\pink{\underline{ Solution }}}}[/tex]

We have ,

We know that,

[ Perimeter of sector = Arc length + radius + radius ]

[tex]\bold{\blue{ Perimeter \: of \: Sector = }}{\bold{\blue{\dfrac{\theta}{360°}}}}{\bold{\blue{× 2πr + r + r }}}[/tex]

Subsitute the required values in the above formula :-

Length of the arc of OAB

[tex]\sf{=}{\sf{\dfrac{ 60°}{360°}}}{\sf{×2πr + 2r }}[/tex]

[tex]\sf{=}{\sf{\dfrac{ 6}{36}}}{\sf{×2×21π + 2 × 21 }}[/tex]

[tex]\sf{= }{\sf{\dfrac{1}{6}}}{\sf{ × }}{\sf{\dfrac{22}{7}}}{\sf{× 42 + 42 }}[/tex]

[tex]\sf{= }{\sf{\dfrac{1}{3}}}{\sf{ × }}{\sf{\dfrac{11}{7}}}{\sf{ × 42 + 42 }}[/tex]

[tex]\sf{= }{\sf{\dfrac{1}{3}}}{\sf{× 11×6 + 42 }}[/tex]

[tex]\sf{ = 11 × 2 + 42 }[/tex]

[tex]\sf{= 22 + 42 }[/tex]

[tex]\bold{\red{= 64 \: cm}}[/tex]

Thus, The perimeter of the sector OAB is 64 cm

We have to find the area of sector OAB

We know that,

[tex]\bold{\blue{ Area \: of \: sector = }}{\bold{\blue{\dfrac{\theta}{360°}}}}{\bold{\blue{× πr² }}}[/tex]

Subsitute the required values in the above formula :-

Area of sector OAB

[tex]\sf{=}{\sf{\dfrac{60°}{360°}}}{\sf{× πr² }}[/tex]

[tex]\sf{=}{\sf{\dfrac{6}{36}}}{\sf{× π × 21 × 21 }}[/tex]

[tex]\sf{=}{\sf{\dfrac{1}{6}}}{\sf{× π × 21 × 21 }}[/tex]

[tex]\sf{=}{\sf{\dfrac{1 }{6}}}{\sf{× 441π}}[/tex]

[tex]\sf{=}{\sf{\dfrac{1}{6}}}{\sf{× 441 × }}{\sf{\dfrac{22}{7}}}[/tex]

[tex]\sf{=}{\sf{\dfrac{1}{6}}}{\sf{ × 63 × 22}}[/tex]

[tex]\sf{=}{\sf{\dfrac{1}{6}}}{\sf{× 1386 }}[/tex]

[tex]\bold{\red{= 231 \: cm²}}[/tex]

Hence, The area and perimeter of the sector OAB is 64 cm and 231cm²

Answer: 14i-5

Step-by-step explanation:

Add the imaginary numbers first and then the natural numbers

Answer:

hi it -2 3

Step-by-step explanation:

Answer:

1/18 there you go

Step-by-step explanation:

Answer:

(x,y)=(19/5,-6/5) I'm not sure it's right, but hopefully it is

Answer:

19$

Step-by-step explanation:

Because 19$ 20% off=15.20 and you added taxes]

Have a great day :}

Answer:

67.5 units²

Step-by-step explanation:

We can break this problem down in two parts: The upper triangle and the lower trapezoid.

The upper triangle:

Use the formula [tex]\frac{1}{2} (b)(h)[/tex] to compute the area of the triangle. Base = 10 and Height = 7.

1/2 (10)(7)

1/2 (70)

=35 units².

The lower trapezoid:

Use the formula [tex]\frac{1}{2}(base_{1} + base_{2}) (height)[/tex] to compute the area of the trapezoid. Base 1 = 10, Base 2 = 3 and Height = 5.

1/2 (10 + 3)(5)

1/2 (13)(5)

1/2 (65)

=32.5 units²

So, add the two areas of each shape:

35 + 32.5 = 67.5 units².

Answer:

Step-by-step explanation:

67.5 is the answer and thanks for asking

Answer:

266

Step-by-step explanation:

26*12*12/14

sounds