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3 years ago

Explain how you would name a sorting rule for 1 squate, 1 rectangle, and 1 triangle

1 answer:

7 0

A square can be a rectangle but a rectangle can't be a square so seperate rectangles from triangles. since squares are special types of rectangles, they can go in the box of rectangles

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Alexa pays 7/20 of a dollar for each minute she uses her pay-as-you-go phone for a call, and 2/5 of a dollar for each minute of

9966 [12]

Answer:

The system of equations is x + y = 85 and 7/20x+2/5y=31
To eliminate the x-variable from the equations, you can multiply the equation with the fractions by 20 and multiply the other equation by -7.
B-She used 60 minutes for calling and 25 minutes for data.

Step-by-step explanation:

It is always a good idea to start by defining variables in such a problem. Here, we can let x represent the number of calling minutes, and y represent the number of data minutes. The the total number of minutes used is ...

x + y = 85

The total of charges is the sum of the products of charge per minute and minutes used:

7/20x + 2/5y = 31.00

We can eliminate the x-variable in these equations by multiplying the first by -7 and the second by 20, then adding the result.

-7(x +y) +20(7/20x +2/5y) = -7(85) +20(31)

-7x -7y +7x +8y = -595 +620 . . . . eliminate parentheses

y = 25 . . . . . . . . simplify

Then the value of x is

x = 85 -y = 85 -25

x = 60

7 0

3 years ago

Read 2 more answers

What number needs to be added to both sides of the equation to complete the square?

Doss [256]

Answer:

9/4

Step-by-step explanation:

(-3/2)^2=9/4

6 0

3 years ago

Helena lost her marbles. But then she found them and put them in 4 bags with mm marbles in each bag. She had 3 marbles left over

77julia77 [94]

Answer:

4m +3 marbles does Helena have in all.

Step-by-step explanation:

Here, m represents the marble in each bag.

She put them in 4 bags with m marbles in each bag.

In each bag she have m marbles

then, in 4 bag she have 4m marbles

⇒total number of marbles= 4m

Since, she had 3 marbles left over.

⇒She have total number of marbles = 4m + 3

Therefore, 4m +3 marbles does Helena have in all.

8 0

3 years ago

Read 2 more answers

An ice cream cone is filled with a vanilla and chocolate ice cream at a ratio of 2:

nirvana33 [79]

$\bf \textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}\quad 
\begin{cases}
r=radius\\
h=height\\
----------\\
diameter=2\\
r=\frac{diameter}{2}\\
\quad = 1\\
h=6
\end{cases}\implies V=\cfrac{\pi\cdot 1^2\cdot 6}{3}
\\\\\\
V=2\pi \\\\
-------------------------------$

$\bf \cfrac{\stackrel{vanilla}{volume}}{\stackrel{chocolate}{volume}}\qquad 2:1\qquad \cfrac{2}{1}\implies \cfrac{2\cdot \frac{V}{2+1}}{1\cdot \frac{V}{2+1}}\implies \cfrac{2\cdot \frac{2\pi }{2+1}}{1\cdot \frac{2\pi }{2+1}}
\\\\\\
\cfrac{2\cdot \frac{2\pi }{3}}{1\cdot \frac{2\pi }{3}}\implies \cfrac{\quad \frac{4\pi }{3}\quad }{\frac{2\pi }{3}}$

3 0

3 years ago

Read 2 more answers

What are all solutions to the differential equation dy/dx=sec^2*x ?

zysi [14]

Answer:

y=tanx+C

Step-by-step explanation:

$\frac{dy}{dx} = {sec}^{2} \: x \\ \\ dy = {sec}^{2} \: x \: dx \\ integrating \: both \: sides \\ \\ \int \:1\: dy = \int {sec}^{2} \: x \: dx \\ \\ \huge \red{ \boxed{ \therefore \: y = tan \: x + c}} \\$

4 0

3 years ago