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2 years ago

14

One of the great mysteries of the world is why hotdogs and hotdog buns come in packages of different sizes. Hotdogs come in pack

s of 8 and buns come in packs of 12 at your local store. What is the least number of each you can buy in order to have an equal number of hotdogs and buns

2 answers:

poizon [28]2 years ago

8 0

Two pack buns and hotdogs

Masja [62]2 years ago

3 0

Answer:

Two packs of buns and three hotdog packages

Step-by-step explanation:

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7.<br> Find the value of x. Round the length to the nearest tenth.<br> х<br> 40°<br> 11 cm

ivann1987 [24]

Answer:

x = 10.9 cm

Can i have brainliest i need 2 for virtuoso

Step-by-step explanation:

8 0

2 years ago

What is the sum of the first seven terms of the geometric series? 3 12 48 192 ...

Ad libitum [116K]

Hence, the sum of the given GP is 16347

<h2>What is a series?</h2>

a series is the cumulative sum of a given sequence of terms. Typically, these terms are real or complex numbers, but much more generality is possible.

<h3>How to solve?</h3>

we can identify from the given geomertric series.

first term = a(say) = 3

geometric factor of progression = r(say) = 4

Sum of the first 7 terms = a( $\frac{r^n-1}{r-1}$ ) ,where n is 7

Sum = 3( $\frac{4^7-1}{3}$ ) = 16348-1

= 16347

Hence, the sum of the given GP is 16347.

to learn more about series: brainly.com/question/12578626

#SPJ4

8 0

1 year ago

Use the fundamental identities and appropriate algebraic operations to simplify the following expression. (18 +tan x) (18-tan x)

andrezito [222]

Answer:

a) $\left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)+\sec ^2\left(x\right)=325$

b) The lowest point of $y=\cos \left(x\right)$ , $0\leq x\leq 2\pi$ is when x = $\pi$

Step-by-step explanation:

a) To simplify the expression $\left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)+\sec ^2\left(x\right)$ you must:

Apply Difference of Two Squares Formula: $\left(a+b\right)\left(a-b\right)=a^2-b^2$

$a=18,\:b=\tan \left(x\right)$

$\left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)=18^2-\tan ^2\left(x\right)=324-\tan ^2\left(x\right)$

$324-\tan ^2\left(x\right)+\sec ^2\left(x\right)$

Apply the Pythagorean Identity $1+\tan ^2\left(x\right)=\sec ^2\left(x\right)$

From the Pythagorean Identity, we know that $1=-\tan ^2\left(x\right)+\sec ^2\left(x\right)$

Therefore,

$324[-\tan ^2\left(x\right)+\sec ^2\left(x\right))]\\324[+1]\\325$

b) According with the below graph, the lowest point of $y=\cos \left(x\right)$ , $0\leq x\leq 2\pi$ is when x = $\pi$

3 0

3 years ago

Clare wants to mail a package that weighs 4 1/2 ponds what could be its volume in liters

Sati [7]

Answer:

The volume in liters is 2.041165665 liter.

Step-by-step explanation:

Given : Clare wants to mail a package that weighs $4\frac{1}{2}$ pounds.

To find : What could be its volume in liters ?

Solution :

We know that,

Pound (lb) is a unit of Weight used in Standard system.

Liter (l) is a unit of Volume used in Metric system.

To convert 1 pound into liter is

1 pound (lb) = 0.45359237 liter (l)

$4\frac{1}{2}$ pounds in simpler fraction is $\frac{9}{2}$

Converting into liter,

$\frac{9}{2}$ pound (lb)= $\frac{9}{2}\times 0.45359237$ liter (l)

$\frac{9}{2}$ pound (lb) = 2.041165665 liter (l).

Therefore, the volume in liters is 2.041165665 liter.

7 0

3 years ago

what is the equation in point-slope form of the line passing through (0, 5) and (−2, 11)? (1 point) y − 5

makkiz [27]

According to the question, the line is through the points $(0,5)$ and $(-2,11)$

To calculate the slope using standard formula that is :

$m = \frac{(y(2)-y(1))}{(x(2)-x(1))} = \frac{(11-5)}{(-2-0)} =\frac{6}{-2} = -3$

Now the slope equation will be: $m(x(2)-x(1)) = (y(2)-y(1))$

$y-5 =(-3)(x-0) = y = -3(x)+5$

The slope-intercept form is: $y = -3x+5$

What is the equation of the line?

To represent the set of points in an algebraic form is known as the equation of line. The set of points represent lines in the coordinate system. The parameters can be calculated and those parameters are slope and y-intercept.

To learn more about the equation of the line from the given link:

<u>brainly.com/question/14037984</u>

#SPJ4

5 0

6 months ago