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mr_godi [17]
3 years ago
6

your cellphone plan costs 29.99 per month plus 0.18 for each text message you send or receive. you have at most $34 to spend on

your cell phone bill. what is the maximum number of text messages you can send or receive next month.
Mathematics
1 answer:
ioda3 years ago
5 0

Answer:

22.28

Step-by-step explanation:

the inequality would be 29.99+0.18x≤34 because 29.99 is the constant. and the 0.18 is the 'slope' if this were being graphed. and it and it can be equal to but no more than $34.

you subtract 29.99 from both  sides

0.18x=4.01

divide by 0.18

x≤22.28

but you cant send a partial text so it rounds down to 22

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A circle has a circumference of \blue{8}8start color #6495ed, 8, end color #6495ed. It has an arc of length \dfrac{32}{5} 5 32 ​
maria [59]

Answer:

The central angle of the arc is 288 degrees

Step-by-step explanation:

<u><em>The correct question is</em></u>

A circle has a circumference of 8. It has an arc of length 32/5 . What is the central angle of the arc,in the degrees?

we know that

The circumference of the circle subtend a central angle of 360 degrees

so

uing a proportion

Find out the central angle for an arc of length 32/5

\frac{8}{360^o}=\frac{(32/5)}{x}\\\\x=360(32/5)/8\\\\x=288^o

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3 years ago
Triangle A has side lengths of 10 units, 24, units, and 26 units. Ryan cut out 2 copies of triangle A and joined them together t
sergejj [24]

Answer:

Perimeter of Rectangle will be 68 units.

Step-by-step explanation:

Given:

Length of side 1 = 10 units

Length of side 2 = 24 units

Length of side 3 = 26 units

Now we will check whether the triangle A is right angle triangle or not;

(Length of side 3)^{2} = 26^2 = 676

(Length of side 2)^{2} = 24^2 = 576

(Length of side 1)^{2} = 10^2 = 100

Now From above we can see that;

676 = 576 + 100

Hence we can say ;

(Length of side 3)^{2} = ](Length of side 2)^{2} + (Length of side 1)^{2}

By Converse of Pythagoras theorem.

"Hence When the square of the length of the hypotenuse is equal to sum of the square of other two sides we can say that triangle is a right angled triangle."

Now Given:

Ryan cut out 2 copies of triangle A and joined them together to form a rectangle.

So we can say that the hypotenuse side of the triangle will become diagonal of the rectangle and other two side will become length and width.

Now;

Length of rectangle = 24 units

Width of rectangle = 10 units.

We need to find the perimeter of rectangle.

Now Perimeter of rectangle is 2 times sum of Length and width.

framing in equation form we get;

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3 years ago
The mass of a basket containing 3 balls was 3.64 kilograms. The mass of the same basket and 5 balls is 5.26 kilograms. Find the
hram777 [196]

Answer:

1.21 kilograms

Step-by-step explanation:

Let y represent the mass of the empty basket, and x represent the mass of each ball

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Rectangle J'K'L'M' shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applie
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Answer:

Location of T' on the coordinate axis will be (16,7).

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K (-4,-8)

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J' (2,-5)

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V (2,6)


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⇒ along x axis -8 → 2 which means that rectangle is shifting towards right by 10 units.

and along y axis -5 → -2 which means that the rectangle is shifting upwards by 3 units.


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along x axis the Quadrilateral will shift towards right by 10 units

So, 6 → 6+10=16

and along y axis the Quadrilateral will shift upwards by 3 units

So, 4 → 4+3=7

⇒ T (6,4) → T' (16,7).

7 0
3 years ago
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