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erastovalidia [21]
2 years ago
10

Under her cell phone plan, Camila pays a flat cost of $63.50 per month and $5 per gigabyte, or part of a gigabyte. (For example,

if she used 2.3 gigabytes, she would have to pay for 3 whole gigabytes.) She wants to keep her bill under $85 per month. What is the maximum whole number of gigabytes of data she can use while staying within her budget?
Mathematics
1 answer:
Luden [163]2 years ago
4 0

Answer:

Step-by-step explanation:

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There are 12 boys and 16 girls in a classroom. which represents the simplified ratio of girls to students in the classroom?
Papessa [141]
The unsimplified version is 12:16
you have to find the highest common factor in them
in this case it would be 4
divide both numbers by 4 
3:4

hope this helps you
3 0
2 years ago
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What is the true solution to the equation below?
jarptica [38.1K]

Answer:

Step-by-step explanation:

some rules of logarithmic function

ln(a) - ln(b)=ln(\frac{a}{b})

e^{ln(a)}=a

ln(a)^{n}=nln(a) vice-versa nln(a)=ln(a)^{n}

If ㏑(a) = ㏑(b), then a = b

∴ 2ln(e^{ln(2x)})-ln(e^{ln(10x)})=ln(30)

Use the 2nd rule to simplify it

e^{ln(2x)}=2x\\e^{ln(10x)}=10x\\

2㏑(2x) - ㏑(10x) = ㏑(30)

Use the 3rd rule in the 1st term

∵ 2㏑(2x) = ㏑(2x)² = ㏑(4x²)

∴ ㏑(4x²) - ㏑(10x) = ㏑(30)

- Use the 1st rule with the left hand side

ln(4x^{2})-ln(10x)=ln(\frac{4x^{2}}{10x})\\\\ln(\frac{4x^{2}}{10x})=ln(30)\\\\ \frac{4x^{2}}{10x}=\frac{2x}{5}=\frac{2}{5}x\\\\ ln(\frac{2}{5}x)=ln(30)

Use the 4th rule

\frac{2}{5} x = 30

Multiply both sides by 5

∴ 2 x = 150

- Divide both sides by 2

∴ x = 75

The value of x = 75

3 0
2 years ago
in the figure p is the incenter of isosceles rst what type of triangle is rpt? Thank you in advance .
snow_lady [41]

Answer:

\Delta \text{RPT is an isosceles triangle}

Step-by-step explanation:

As in the triangle RST,

RS=ST\ \ \ \Rightarrow m\angle SRT=m\angle STR

Because if in a triangle two angles equal one another, then the sides opposite the equal angles also equal one another.

Incenter is obtained by the Intersection of a triangle's three angle bisectors and it is equidistant from the three sides of the triangle.

So, RP and TP are the angle bisectors of ∠R and ∠T respectively.

\Rightarrow \dfrac{m\angle SRT}{2}=\dfrac{m\angle STR}{2}

\Rightarrow m\angle PRT=m\angle PTR

\Rightarrow PR=PT

\Rightarrow \Delta \text{RPT is an isosceles triangle}

7 0
2 years ago
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Zac wants to lay new carpet in the entrance and hallway of his house as shown below.
andreev551 [17]

Answer: a

Step-by-step explanation:

4 0
2 years ago
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Joe drew a diagram of a window as shown below. The window is formed by a square and a semicircle. The area of the square portion
abruzzese [7]

One side of the square measures 28 inches. Use 3.14 for π.

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