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3 years ago

11

Aurora has a cell phone plan that charges $65 for phone service plus $12 for eachgigabyte of data used each month. If her bill f

or September is $113,how many gigabytes of data did she use in September?

2 answers:

Ivahew [28]3 years ago

7 0

Answer:

4 gigabytes

Step-by-step explanation:

64+12+12+12+12=113

Natali [406]3 years ago

7 0

Answer:4 gigabytes

Step-by-step explanation:add 12 to 65 until you get to 113

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Write two subtraction facts related to 7 + 5 =12

Nezavi [6.7K]

Answer:

12-5=7

12-7=5

Step-by-step explanation:

5 0

3 years ago

When you add or subtract numbers over sings do you flip them?

sukhopar [10]

Say you have this problem.

4x=2x-4

First you would combine your like terms.

4x = 2x-4
-2x=-2x-4
---------------
2x=-4

Next you would divide

2x =-4
÷ -4 =-4
--------------
x = 0.5

6 0

2 years ago

On the way to work Juan carpools with a fellow co-worker then takes the city bus back home in the evening. The average speed of

podryga [215]

Answer:

$\frac{40r+100}{r(r+5)}$

Step-by-step explanation:

Let r represent speed in the carpool.

We have been given that on the way to work Juan carpools with a fellow co-worker then takes the city bus back home in the evening. The average speed of the 20-mile trip is 5 miles per hour faster in the carpool.

We know that time is equal to distance over speed.

The total distance is 20 mile. Time taken to travel 20 miles using carpool would be $\frac{20}{r}$

The speed on the bus is 5 miles greater, so it will be $x+5$ . Time taken to travel 20 miles using bus would be $\frac{20}{r+5}$

Total time will be equal to sum of both times that is:

$\frac{20}{r+5}+\frac{20}{r}$

Let us simplify our expression.

$\frac{20r}{r(r+5)}+\frac{20(r+5)}{r(r+5)}$

$\frac{20r}{r(r+5)}+\frac{20r+100}{r(r+5)}$

Combine numerator:

$\frac{20r+20r+100}{r(r+5)}$

$\frac{40r+100}{r(r+5)}$

Therefore, our required expression would be $\frac{40r+100}{r(r+5)}$ .

7 0

3 years ago

X^6-9x^4-x^2+9=0 please help me I don't understand this

Rom4ik [11]

<h2>Steps:</h2>

So firstly, I will be factoring by grouping. For this, factor x⁶ - 9x⁴ and -x² + 9 separately. Make sure that they have the same quantity on the inside of the parentheses:

$x^4(x^2-9)-1(x^2-9)=0$

Now, you can rewrite the equation as:

$(x^4-1)(x^2-9)=0$

However, it's not completely factored. Next, we will apply the formula for the difference of squares, which is $x^2-y^2=(x+y)(x-y)$ . In this case:

$x^4-1=(x^2+1)(x^2-1)\\x^2-9=(x+3)(x-3)\\\\(x^2+1)(x^2-1)(x+3)(x-3)=0$

Next, we will apply the difference of squares once more with the second factor as such:

$x^2-1=(x+1)(x-1)\\\\(x^2+1)(x+1)(x-1)(x+3)(x-3)=0$

<h2>Answer:</h2>

<u>The factored form of this equation is: $(x^2+1)(x+1)(x-1)(x+3)(x-3)=0$ </u>

8 0

3 years ago

Scientific research on popular beverages consisted of 70 studies that were fully sponsored by the food industry, and 30 studies

pishuonlain [190]

Answer:

a) 0.623 (62.3%)

b) 0.764 (76.4%)

c) 0.6 (60%)

Step-by-step explanation:

a) defining the event F= the product is favorable , then the probability is

P(F) = probability that the study was sponsored by food industry * probability that the product is favorable given that it was sponsored + probability that the study had no corporate ties * probability that the product is favorable given that it was not sponsored = 0.70 * 0.68 + 0.30 * 0.49 = 0.623

b) for conditional probability we use the theorem of Bayes , then defining the event S= the study was sponsored by the food industry , we have:

P(S/F)=P(S∩F)/P(F)= 0.70 * 0.68/0.623 = 0.764 (76.4%)

where

P(S∩F)=probability that the study was sponsored by food industry and the product was found favorable

P(S/F)=probability that the study was sponsored by food industry given that the product was found favorable

c) for U= the product was found unfavourable , doing the same procedure as in a)

P(U)= 0.70 * 0.10 + 0.30 * 0.35 = 0.175

and the corresponding conditional probability is

P(N/U)=P(N∩U)/P(U)= 0.30 * 0.35 / 0.175 = 0.6 (60%)

where N represents the event = the study had no industry funding

3 0

2 years ago