- If 2x2 + 8y = 121.5 and x2 - 8y = 121.5, then x = 9 6.36 16 7

The inequality that will determine the number of months, x, that are required for the second phone to be less expensive is . The

ziro4ka [17]

Question:

Sal is trying to determine which cell phone and service plan to buy for his mother. The first phone costs $100 and $55 per month for unlimited usage. The second phone costs $150 and $51 per month for unlimited usage.

The inequality that will determine the number of months, x, that are required for the second phone to be less expensive is .

The solution to the inequality is .

Sal’s mother would have to keep the second cell phone plan for at least months in order for it to be less expensive.

Answer:

a. $150 + 51x < 100 + 55x$

b. $x > 12.5$

c. At least 13 months

Step-by-step explanation:

Given

First Phone;

$Cost = \$100$

$Additional = \$55$ (monthly)

Second Phone;

$Cost = \$150$

$Additional = \$51$ (monthly)

Solving (a): The inequality

Represent the number of months with x

The first phone is expressed as:

$100 + 55x$

The second phone is expressed as:

$150 + 51x$

For the second to be less expensive that the first, the inequality is:

$150 + 51x < 100 + 55x$

Solving (b): Inequality Solution

$150 + 51x < 100 + 55x$

Collect Like Terms

$51x-55x$

$-4x$

Solve for x

$x > -50/-4$

$x > 12.5$

Solving (c): Interpret the solution in (b)

$x > 12.5$ implies 13, 14, 15....

Hence, She'll keep the second phone for a period of at least 13 months

4 0

2 years ago

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For every one litre of water used to make medicine, 150 ml of sucrose and 600 ml of saline solution is used. Express the amount

dolphi86 [110]

Answer: 20 : 3 : 12

Step-by-step explanation:

For every 1 litre, 150 ml of sucrose and 600ml of saline solution is needed.

1litre = 1,000 ml

Water = 1,000 ml

Ratio:

1,000 : 150 : 600

Divide by 50 to get simplest form:

20 : 3 : 12

5 0

2 years ago

Carl is boarding a plane. He has 222 checked bags of equal weight and a backpack that weighs 4 \text{ kg}4 kg4, start text, spac

matrenka [14]

Answer:

Required equation : $2w+4=35$

Weight of each of his checked bags = 15.5 kg

Step-by-step explanation:

Number of checked bags = 2

Backpack weight = 4 kg

The total weight of Carl's baggage = 35kg

Let w is the weight of each checked bag.

Weight of 2 checked bags = 2w

Weight of 2 checked bags + Backpack weight = Total weight of Carl's baggage

$2w+4=35$

Subtract 4 from both sides.

$2w=31$

Divide 2 from both sides.

$w=\dfrac{31}{2}=15.5$

Therefore, the weight of each of his checked bags is 15.5 kg.

8 0

2 years ago

Find the sum of the first 63 terms of –19, -13, -7 …

boyakko [2]

The Given Sequence is an Arithmetic Sequence with First term = -19

⇒ a = -19

Second term is -13

We know that Common difference is Difference of second term and first term.

⇒ Common Difference (d) = -13 + 19 = 6

We know that Sum of n terms is given by : $S_n = \frac{n}{2}(2a + (n - 1)d)$

Given n = 63 and we found a = -19 and d = 6

$\implies S_6_3 = \frac{63}{2}(2(-19) + (63 - 1)6)$

$\implies S_6_3 = \frac{63}{2}(-38 + (62)6)$

$\implies S_6_3 = \frac{63}{2}(-38 + 372)$

$\implies S_6_3 = \frac{63}{2}(334)$

$\implies S_6_3 = {63}(167) = 10521$

The Sum of First 63 terms is 10521

4 0

2 years ago

Argo wants to build a rectangular fence around her garden, and she has 242424 meters of wood. Which of these dimensions will giv

laiz [17]

Answer:

its choice b

Step-by-step explanation:

because it is

8 0

2 years ago

Read 2 more answers