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Lemur [1.5K]
4 years ago
15

The number of text messages Lelah sent each month is shown in the table. She can send no more than 55 messages each month withou

t being charged. Use the inequality t < 55, where t is the number of text messages in a month, to determine in which months she exceeded her limit. If each additional text costs $0.25, how much was Lelah charged from January to April?

Mathematics
1 answer:
Svetlanka [38]4 years ago
3 0
$0.75, because she only went over once in January, and twice in February. March was 55 and April was 51. So .25+.50=.75
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What is the value of x and y if 21x+7y=42 and -5x+5y=10 are equal
nikdorinn [45]

Answer:

-5x/5 +5y/5=10/5=2

y-x=2

y=x+2

21x+7*(x+2)=42

21x+7x+14=42

28x=42-14

28x=28

x=1

y=1+2

y=3

Step-by-step explanation:

7 0
3 years ago
Roger Hunt intends to purchase one of two car dealerships currently for sale in a certain city. Records obtained from each of th
ValentinkaMS [17]

Answer:

(a)   Dahl Motors = 8 Cars

       Farthington Auto Sales = 7 Cars

(b)   Roger will purchase from Farthington Auto Sales with higher weekly profit

Step-by-step explanation:

Dahl Motors / Week      

(1)          Car Sold             5         6        7       8         9        10         11          12

(2)          Probability         5%      9%     14%   24%    18%     14%     11%        5%

(3)             (2 x 3 )               0.25   0.54   0.98  1.92     1.62    1.40     1.21     0.60

(4)       Average sales = 0.25  + 0.54  + 0.98  + 1.92 + 1.62 +  1.40  +  1.21+0.60

                                   =   8.52‬ cars/ week

                                   =  8 cars /week

Profit/ Car =    $544

Total weekly profit =  544 x 8

                               =  $4,352

Farthington Auto Sales/ Week    

(1)           Car Sold             5         6        7       8         9        10      

(2)          Probability         8%      21%    31%   24%    10%     6%    

(3)          (2 x 3 )               0.40   1.26   2.17     1.92     0.9     0.6    

(4)       Average sales = 0.40  + 1.26  + 2.17  + 1.92 + 0.90 + 0.60  

                                   =   7.25‬ cars/ week

                                  = 7 cars/week

Profit/ Car =    $651

Total weekly profit =  651 x 7

                               =  $4,557‬

From the calculations above , Roger will purchase from Farthington Auto Sales

3 0
3 years ago
87.5% of what number is 49?
kozerog [31]
Answer=56

87.5%*y=49
.875y=49
____   ___
.875    .875
divide both sides by .875
y=56


7 0
3 years ago
Find the dimensions of the rectangular box with largest volume if the total surface area is given as 4 cm2. (Let x, y, and z be
Scorpion4ik [409]

Answer:

The dimensions of the rectangular box, x = y = z = 0.817 cm

Step-by-step explanation:

Given;

total surface area of the rectangular box or cuboid = 4 cm²

A rectangular box with largest volume  is a cube.

The total surface area of a cube = 6 times  square of one edge length.

Let the edge length = given dimensions,  x, y, z

x = y = z

6x² = 4

x² = 4/6

x =\sqrt{\frac{4}{6} }\\\\ x = \frac{2}{\sqrt{6} } \ cm \ = 0.817 \ cm

Therefore, the dimensions of the rectangular box, x = y = z = 0.817 cm

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