Write an equation that represents the following problem. There are two cell phone plans available from Cell Phones R Us company. Plan A charges $35 a month plus $0.05 for every text message. Plan B charges $50 a month plus $0.01 for every text message. How many text messages do you need to send in order for Plan A to cost the same as Plan B?


35 + 5m = 50 + m

50 + 0.05m = 35 + 0.01m

35 + 0.05m = 50 + 0.01m

35 + m = 50 + 5m

Answer:

205000

Step-by-step explanation:

Given :  253,495 - 48,617

To Find : What is rounding and estimate

Solution:

To Estimate a difference by rounding.

1 ) Round each term that will be subtracted

2 )Subtract the rounded numbers

Round off of 253,495 = 253000

Round off of 48,617 = 48000

So,  253000 - 48000 = 205000

Hence The rounding and estimate 253,495 - 48,617= 205000

The least common denominator of 5/6 and 7/9 is 18. This results in equivalent fractions of 15/18 for 5/6 and 14/18 for 7/9.

To find the least common denominator (LCD) of the fractions 5/6 and 7/9, we first find the least common multiple (LCM) of the two denominators, 6 and 9. The LCM of 6 and 9 is 18.

Next, we convert each fraction to an equivalent fraction with the LCD as the new denominator. We multiply the numerator and denominator of 5/6 by 3 to get 15/18. Similarly, we multiply numerator and denominator of 7/9 by 2 to obtain 14/18.

So the fractions 5/6 and 7/9, when written with their LCD, are 15/18 and 14/18, respectively.

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The correct option is d. 8 oz. can of juice is most convenient to meet this requirement.

First, let's convert 240 milliliters to ounces because the answer choices are in ounces.

1 milliliter is approximately equal to 0.0338 ounces.

So, 240 milliliters is approximately \( 240 \times 0.0338 \) ounces, which is about 8.112 ounces.

Now, let's examine the options:

a. 5 oz. can of juice: Not enough juice. It's less than the required 8.112 ounces.

b. 4 oz. can of juice: Not enough juice. It's less than the required 8.112 ounces.

c. 12 oz. can of juice: More than enough juice. It's more than the required 8.112 ounces.

d. 8 oz. can of juice: Exactly the amount needed. It matches the required 8.112 ounces, which is the closest to the calculated amount of 8.112 ounces.

Therefore, the 8 oz. can of juice is the most convenient option to meet the requirement of having 240 milliliters of juice every 2 hours.

Joe was given  $329 for an overnight trip because he drove a distance of 220 miles

Given Data

The Mathematical relation for this scenario is

Total amount = Amount Receive+ 0.7*Distance driven

let the distance driven be x

Substituting our given data into the relation we have

329= 175+ 0.7*x

329-175 = 0.7x

154 = 0.7x

divide both sides by 0.7

x = 154/0.7

x = 220miles

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Final answer:

To make an equation with no solution, choose a constant for the question mark that, when combined with the existing terms, will create a contradiction when attempting to solve for x. For the equation 3(x - 4/3) = 3x + ?, placing the number 5 in the question mark will result in 3x - 4 = 3x + 5, which simplifies to a contradiction of -4 ≠ 5, meaning no solution exists.

Explanation:

To create an equation with no solution, you should first expand the expression on the left-hand side of the equation. When you distribute the 3 across (x - 4/3), you get 3x - 4. In order for the equation to have no solution, the right-hand side of the equation must be equal to 3x plus a constant value that is not -4.

By setting the equation to 3x + 5, for example, you ensure there can be no value of x that will satisfy the equation because when you attempt to solve it, you'll reach a contradiction.

Here's the detailed transformation:

Start with 3 (x - 4/3) = 3x + ?

Distribute the 3 to get 3x - 4 = 3x + ?

To ensure no solution, choose a constant that is not -4, for example, +5, to get 3x - 4 = 3x + 5

Subtract 3x from both sides to attempt to solve for x: -4 ≠ 5, which is clearly a contradiction, indicating no solution.

3.2(2.3) - 4.8

Simplify.

(3.2 × 2.3) - 4.8

Simplify.

(7.36) - 4.8

Simplify.

2.56

Hope this helped. :)

Answer: 80

Step-by-step explanation:

The probability of selecting anything but an orange candy at random from the bag is 0.8, or 80%.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

The sum of the probabilities of all possible outcomes must be equal to 1. Therefore, we can find the missing probability for yellow candy by subtracting the sum of the probabilities of all other colors from 1:

1 - 0.13 - 0.20 - 0.16 - 0.24 - 0.13 = 0.14

So the probability of selecting a yellow candy is 0.14.

To find P(Not orange), we can add the probabilities of selecting candies of all other colors:

P(Not orange) = P(Red) + P(Yellow) + P(Green) + P(Blue) + P(Brown)

= 0.13 + 0.14 + 0.16 + 0.24 + 0.13

= 0.8

Therefore,

The probability of selecting anything but an orange candy at random from the bag is 0.8, or 80%.

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Answer:

Rational

2. Irrational

3. Irrational

4. Irrational

5. Rational

Step-by-step explanation:

6/7 because if you divide 30/35 by 5 it will leave at 6/7

The correct equation for the distance Tran drove at a constant speed of 55 mph is B. d = 55t.

In this equation:

"d" represents the distance in miles that Tran drove.

"t" represents the time in hours.

So, the distance "d" is equal to Tran's constant speed of 55 mph multiplied by the time "t" in hours, which is why the equation is written as d = 55t.

Option D is not the correct equation because it has the variables and constants in the wrong order.

The correct order is distance (d) on the left side of the equation, followed by the constant speed (55) and then the time (t) on the right side of the equation.

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Answer: 40%

Step-by-step explanation:

Given : Katie is selling lemonade for $1.50 per cup she decides to put them on sale for $0.90 .

i.e. Original price=  $1.50     ;    Price after discount= $0.90

Then, the Discount amount= Original price-Price after discount

= $1.50- $0.90=$0.60

Now, the  percent discount will be :-

[tex]\dfrac{\text{\text{Discount amount}}}{\text{original price}}\times100\\\\=\dfrac{0.60}{1.50}\times100=40\%[/tex]

Hence, the required answer = 40%

its not d its the +2 one