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shusha [124]
3 years ago
13

lauren wants to keep her cell phone bull under $60 per month. Her current cell phone plan is $30 per month plus $0.50 per text.

Write an inequality to represent the number of texts t, Lauren can send each month while staying within her budget
Mathematics
1 answer:
stellarik [79]3 years ago
8 0

Answer:

The correct answer is t < 60.

Step-by-step explanation:

Lauren wants to keep her cell phone bill below $60 per month.

Lauren's current cellphone plan charges her a fixed price of $30 and per text price for one text is $0.50.

Let Lauren sends t texts in a complete month.

Total money spent on texts in a month is given by $ (0.50 × t)

Therefore Lauren's total spent in a month is given by $ (30 + (0.50 × t)).

But this amount should be under $60 as per as the given problem.

∴ 30 + (0.50 × t) < 60

⇒ (0.50 × t) < 30

⇒ t < \frac{30}{0.50}

⇒ t < 60.

So in order to keep her phone monthly bill under $60, Lauren should keep her number of texts below 60.

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The perimeter of a rectangle is 72 in. The base is 3 times the height. Find the area of the rectangle
Dovator [93]

Answer:

243 in²

Step-by-step explanation:

Step 1. Calculate the<em> base and height </em>of the rectangle

We have two conditions:

(1)   2b+ 2h = 72 in

(2)           b = 3h               Substitute in (1)

2(3h) + 2h = 72               Remove parentheses

   6h + 2h = 72               Combine like terms

           8h = 72               Divide by 6

             h = 9 in             Substitute in(2)

             b = 3 × 9

             b = 27 in

Step 2. Calculate the area of the rectangle

A = bh

A = 27 × 9

A = 243 in²

The area of the rectangle is 243 in².

7 0
3 years ago
Helpp me pleasee.....
meriva

300; Since EF is the only segment not included in FHE, just subtract the 60 degrees there from 360 to get the sum of the rest of the circle

360-60 = 300

Hopefully this is right, i'm a little rusty on geometry

4 0
3 years ago
Volume of right trapezoid cylindar whole bases are B 16m, b 8m, height is 4m and length is 32m
viktelen [127]

Answer:

volume = 1536 m^3

Step-by-step explanation:

given data;

B = 16m

b =8 m

height   H = 4 m

length  L = 32 m

volume of any right cylinder = (Area of bottom) \times (length)

Volume = A* L

The area of a trapezoid is

A=\frac{1}{2} H*(b+B)

A =\frac{1}{2} 4*(8+16)

A = 48 m^2

therefore volume is given as  

volume = 48*32

volume = 1536 m^3

6 0
3 years ago
Please answer this question!
Aleks [24]
406 divided by 140 makes 2.9 multiply that 100 and you arrive at 290%. Hope this helps!
8 0
3 years ago
For
sdas [7]
5(x − 4)^2

5(x - 4)(x - 4)

5(x^2 - 8x + 16)

5x^2 - 40x + 80

Did you follow?
6 0
3 years ago
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