One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month. A second smartphone plan costs $82 per month for talk and messaging and $3 per gigabyte of data used each month. Let c represent the total cost in dollars and d represent the amount of data used in gigabytes.

The system of equations {c=52+8dc=82+3d can be used to represent this situation.
How many gigabytes would have to be used for the plans to cost the same? What would that cost be?

Both plans would cost $
if
gigabytes of data are used.

Answer:

17 units

Step-by-step explanation:

Given 2 congruent chords in the circle, then they are equidistant from the centre and perpendicular

There is a right triangle formed by legs 15 and 8, with radius r being the hypotenuse.

Using Pythagoras' identity in this right angle

r² = 15² + 8² = 225 + 64 = 289 ( take the square root of both sides )

r = [tex]\sqrt{289}[/tex] = 17

Answer:

20 cm^2

Step-by-step explanation:

A= 1/2 ×height

height = 4 cm

sides S1= 7cm

S2= 3cm

A= 1/2(7+3)4

=5×4

=> 20 cm

hope it helps..

have a great day!!

Answer:

(5×7)-(2×3×2)=35-12

=23m²

Answer:

9/2

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

I think -2g+5

Step-by-step explanation:

its distributive property and adding... hope this helped

Answer: the area of the whole shape is 0.77. hope this helped.

Step-by-step explanation:

Answer:

654 grams

Step-by-step explanation:

When you set up this equation you want the number of grams you start with, 2616, and the factor by which it is decreasing, which is half, or 1/2. Because the half life is 11 days, but you want to find the amount left over after 22 days, you can make 22/11 as the exponent on the 1/2. The equation should look like this : 2616(1/2)^22/11. With these kinds of equations you always want to multiply the starting value by the factor of increase/decrease, and raise that factor to the time eclipsed divided by the set time(like the 11 day half life).

Answer:

it's Answer is option B

Step-by-step explanation:

The new volume is 4 times the old volume

Answer:

p = 5t

Step-by-step explanation:

We'll check by plugging in t = 3 and p has to equal 15

p = 5t     ✅

p = 5(3)

p = 15

3t = 15p ❌

3(3) = 15p

9 = 15p

p = 15/9 = 5/3

p/t = 15 ❌

p/3 = 15

p = 45

p = 1/5t ❌

p = 1/5(3)

p = 3/5

Answer:

20, 10

Step-by-step explanation:

This sequence is dividing by 2. Therefore, 40 divided by 2 is 20 and 20 divided by 2 is 10

Answer:

d. 4,096

Step-by-step explanation:

i hope this helps :)

Answer:

(-1, 4)

Step-by-step explanation:

Hope this helps

Answer:

a

Step-by-step explanation:

Answer:

Median: b

Altitude: c

Angle bisector: a

Perpendicular bisector: d

Step-by-step explanation:

Answer:

the median is 5 the mode is 5 and 2 the mean is 6.25 and the range is 15

Step-by-step explanation:

the mode is 5 and 2 because they both occur the most often

The median is 5 because even though the amount of numbers is even and there is no exact middle the two middle numbers are both 5 and 5+5 equals 10 divided by 2 equals 5

the mean is 6.25 because all numbers added together 75 divided by the amount of numbers 12 equals 6.25

the range is 15 because the range is the diff between the highest and lowest value

Answer:

50

Step-by-step explanation:

Alex is 10 years old because he is twice as old as his 5 year old brother. Therefore Alex's father is 50 years old because he is five times older than Alex.

Answer:

yeah sure

Step-by-step explanation:

Answer 9 : 1

Answer 10 : 8b²/3a³c³

ANSWER:

From 2 to 10=

Explanation:

2/2/10

5/1/5

/1/1

Answer:

3

Step-by-step explanation:

Answer:

[tex]-1[/tex]

Step-by-step explanation:

This is a really nice line that goes through a lot of grid points (where the lines intersect).

One easy way to find the slope is the phrase "rise over run."  "Rise" is the name for vertical motion from point-to-point.  "Run" is the name for horizontal motion from point-to-point.

Pick two easy points on the line, say (0, 0) and (1, -1).

If you go from (0, 0) to (1, -1), the rise is -1 -- because you went DOWN 1 unit.

The run is 1 -- because you went RIGHT 1 unit.

[tex]\frac{\text{rise}}{\text{run}} =\frac{-1}{1} =-1[/tex]

The slope is -1.

Cool fact:  You'll get the same value if you use any two points on the line.

Answer:

10

Step-by-step explanation:

a^2 + b^2 = c^2

6^2 + 8^2 = c^2

36+64 = square root of 100

square root of 100 is 10

Answer: 24 tests

Step-by-step explanation:

Ms. Carey graded 1/3 of the tests and still had 16 tests to go.

This means that the 16 tests represent the remaining proportion of the total number of tests:

= 1 - 1/3

= 2/3

2/3 of the total is equal to 16 tests. Assuming the total is x, the expression would be:

2/3x = 16

x = 16 ÷ 2/3

x = 16 * 3/2

x = 24 tests

Step-by-step explanation:

Using the unit circle, the answer is

135 degrees

Step-by-step explanation:

This can be done by using the trignometric ratio of tangent in the ∆DEF . The two of its sides along 90° are 7.2 and d .

• In ∆ DEF :-

[tex]\tt\to tan42^o = \dfrac{EF}{ED}\\\\\tt\to tan42^o =\dfrac{d}{7.2}\\\\\tt\to 0.9 = \dfrac{d}{7.2}\\\\\tt\to d =7.2\times 0.9\\\\\tt\to\boxed{\orange{\tt d = 6.48 }}[/tex]

Answer:

Step-by-step explanation:

Using the Pythagorean theorem, find x:

Answer:

B.45

Step-by-step explanation:

60+55=115

180-115=65

65-20=45

Answer: 45°