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Sav [38]
1 year ago
12

a phone plan has a limit of $25 that can be spent on text messages. the base cost of the text plan will cost a user $5. each tex

t will cost $0.05. how many text messages can a user send without exceeding the plan limits
Mathematics
2 answers:
makvit [3.9K]1 year ago
8 0

0.05x + 5 = y

0.05x + 5 ≤ 25

<u>           - 5 </u>  <u> - 5 </u>

0.05x      ≤ 20

\frac{0.05}{0.05}x ≤ \frac{20}{0.05}

        x ≤ 400

Answer: 400 text messages

Keith_Richards [23]1 year ago
6 0

25 - 5 = 20
20 is after the base cost
400 \times .05 = 20.00
400 text messages can be sent without exceeding the limit.
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ivolga24 [154]
If one labour works 200 hours per month, the amount of hot water heaters the labour can produce is = 200 × 0.25 = 50 hot water heaters

The demand is to produce 57600 hot water heaters

The number of labourers employed is 57600 ÷ 50 = 1152 labourers
5 0
2 years ago
Three cities lie along a perfectly linear route: Springfield, Clarksville, and Allentown. Molly lives in Springfield and works i
Ilya [14]
When it says that the cities are routed linearly, it means that these cities are located right next to each other. From the left, the order is Springfield, Clarksville, then Allentown. You have details on the number of gallons and the mileage. To get the distance travelled, just multiply the mileage with the gallons, to cancel out gallons leaving you with the distance in miles.

Now, since Molly travelled from Springfield to Allentown, the total distance she covered is the distance Edward travelled and the unknown distance between Springfield and Clarksville, denoted as x in the picture. So, the equation is then

Molly's distance = x + Edgar's distance
26 miles/gal(2 gal) = x + 17 miles/gal(1 gal)
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4 0
2 years ago
a group of 10 people ran an average of 2.7 miles in one week. if the first 4 people in the group averaged 3 miles, what did the
FromTheMoon [43]
In this question, 10 people average running distance is 2.7miles. Then the sum of their running distance would be: 10 people * 2.7 miles/people= 27 miles.

The group then divided into 2, 4 people with 3 miles average and 6 people with unknown average. Since the people are same like the 10 people group, their total running distance would be the same. The calculation would be:

total distance = group1 * average1 + group2 * average2
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4 0
2 years ago
In triangle ABC AD/DB = CE/EB. Complete the proof showing the segment DE is parallel to segment AC.
Natasha_Volkova [10]

Answer:

1. \dfrac{AD}{DB}+1=\dfrac{CE}{EB}+1

2. Addition property of equality

Step-by-step explanation:

In triangle ABC,

\dfrac{AD}{DB}=\dfrac{CE}{EB}.

The addition property of equality states that if the same amount is added to both sides of an equation, then the equality is still true.

Use addition property of equality, add 1 to both sides of previouse equality:

\dfrac{AD}{DB}=\dfrac{CE}{EB}\\ \\\dfrac{AD}{DB}+1=\dfrac{CE}{EB}+1\\ \\\dfrac{AD+DB}{DB}=\dfrac{CE+EB}{EB}

5 0
2 years ago
A circle has a circumference of 150 meters. What is the measure of its radius? Round
Savatey [412]

Answer:

23.9 is the radius

Step-by-step explanation:

150/3.14 =47.7707006369

47.7707006369/2 = 23.8853503185

Round to nearest tenth = 23.9

Hope this helps!

8 0
2 years ago
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