Under his cell phone plan, Jonathan pays a flat cost of $57 per month and $3 per gigabyte. He wants to keep his bill at $71.10 per month. Write and solve an equation which can be used to determine xx, the number of gigabytes of data Jonathan can use while staying within his budget.

[tex]\huge \bf༆ Answer ༄[/tex]

Let's Solve for t ~

➢ [tex] \sf q = \dfrac{2 - 4t}{t + 3} \\[/tex]

➢ [tex] \sf{q(t + 3) =2 - 4t }\\[/tex]

➢ [tex] \sf{qt + 3q} = 2 - 4t\\[/tex]

➢ [tex] \sf{qt + 4t = 2 - 3q }\\[/tex]

➢ [tex] \sf{t(q + 4) = 2 - 3q}\\[/tex]

➢ [tex] \sf{t = \dfrac{2 - 3q}{q + 4} }[/tex]

Answer:

t = (2 - 3q)/(q + 4).

Step-by-step explanation:

We cross multiply:

q(t + 3) = 2 - 4t

qt + 3q = 2 - 4t

qt + 4t = 2 - 3q

t(q + 4) = 2 - 3q

t = (2 - 3q)/(q + 4).

Step-by-step explanation:

Angle c + angle d = 180° ( linear pair)

given,

angle c = 5x + 9

angle d = 5x - 6

now,

5x + 9 + 5x - 6 = 180

10x + 3 = 180

10x = 180 - 3 = 177

10x = 177

x = 177/10 = 17.7

so,

angle C = 5x + 9 = 5(17.7) + 9 = 97.50°

angle D = 5x - 6 = 5(17.7) - 6 = 82.50°

Hope this answer helps you dear! take care!.

Answer:

Hello your answer should be: Bella saved more per chore than Sweet T.

Step-by-step explanation:

Hope this helped! :)

Have a great rest of your day!

Answer:

15/4

Step-by-step explanation:

You do 10*9 which is 90. Then divide it by 24 to get 90/24 and simplify it by dividing the numerator and denominator by 6

[tex]8^{-\tfrac 23}\\\\\\=\left(8^{\tfrac 13 }\ \right)^{-2}\\\\\\=\left[\left(2^3\right)^{\tfrac 13} \right]^{-2}\\\\\\=\left(2^{\tfrac 33} \right)^{-2}\\\\\\=2^{-2}\\\\=\dfrac 1{2^2}\\\\\\=\dfrac 14[/tex]

[tex] {8}^{ - \frac{2}{3} } \\ = {2}^{3 \times - \frac{2}{3} } \\ = {2}^{ - 2} \\ = \frac{1}{2^{ 2}} \\ = \frac{1}{4} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

1. yes, both triangles sides are congruent

2. yes, they have congruent sides and they have a congruent angle

3. yes, congruent sides and angle

4. yes, 2 congruent angles

5. no, only one congruent angle not enough proof

6. yes, 2 congruent angles

7. no, only one congruent angle not enough proof

8. no, only one congruent side

Step-by-step explanation:

8k - 12 = 3

8k = 3 +12

8k = 15

k = 15/8

k = 1.875

Answer:

8k-12=3

8k=3+12 [we equate the negative 12 from LHS and take it to RHS and its value becomes positive there fore 3 +12 is possible]

8k=15

k=15/8[algebraic rule of there is no sign between number and variable there is ment to be multiplication and when the multiply is taken to next sign it becomes division and becomes a denominator]

k=1.875

Answer:

4x²+ 4x +4

Step-by-step explanation:

g(f(x)) = (2x + 1)² + 3

= 4x² + 4x + 1 + 3

= 4x²+ 4x +4

Answer:

(4x^2) + (4x) + 4

Step-by-step explanation:

Let a = f(x) = 2x+1

g(a) = a^2 + 3 = (2x+1)^2 + 3 = 4x^2 + 4x + 4

Answer:

B. DX = YZ

Step-by-step explanation:

The probability of getting a head on the coin and an odd number on the die is 25%

The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

Given:

One coin is flipped, and then one die is rolled.

Let H is the head and T is tails.

The sample space is {H, T}

The probability of getting a head on the coin

= The possible outcomes / the total outcomes

= 1/2

One die is rolled.

So, the sample space is {1, 2, 3, 4, 5, 6}

The sample space for odd number is {1, 3, 5}.

The probability of getting an even number on the die

= 3/6

= 1/2

If two events A and B are independent, then the probability that they occur together is the product of their individual probabilities:

P(A and B) = P(A) P(B)

= 1/2 x 1/2

= 1/4

= 0.25

And 0.25 in percentage is 25%.

Therefore, the probability is 1/4.

To learn more about the probability;

brainly.com/question/11234923

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Answer:

x=3, y=4. (3, 4).

Step-by-step explanation:

x+y=7

x+2y=11

--------------

-x-y=-7

x+2y=11

--------------

y=4

x+4=7

x=7-4

x=3

Answer:

140 feet

Step-by-step explanation:

You will need to find the perimeter of the backyard to find how many feet of fencing will be needed

the formula for perimeter is: 2l+2w

So 2 times 30 is 60

with 2 times 40 80

60+80 is 140

Thus you will need 140 feet to cover the backyard

Hope this helps!

Answer:

140 ft

Step-by-step explanation:

Perimeter = 2(l+w)

Perimeter = 2(30+40)

Perimeter = 2(70)

Perimeter = 140

None, because SSA is not a triangle congruence theorem.

Answer:

the answer is 6930 cm3.

Step-by-step explanation:

please mark my answer in brainlist

Answer:

5. 7.5m

6. 3, 925m

7. 383.9m

8 42.99m

Answer:

Step-by-step explanation:

Answer:

6.2+6^4

6.2+1.296

7.496

Answer:

-4

Step-by-step explanation:

3x(x + 4) = 135

3x² + 12x = 135

3x² + 12x - 135 = 0

On dividing by 3

x² + 4x - 45 = 0

x² + (9x - 5x) - 45 = 0

x² + 9x - 5x - 45 = 0

x(x + 9) - 5(x + 9) = 0

(x + 9)(x - 5) = 0

x = 5 & -9

Sum = -9 + 5

Sum = -4

The sum of the solutions of the given quadratic equation will be -4.

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.

As per the given equation,

⇒ 3x(x + 4) = 135

Multiply the 3x as,

3x² + 12x = 135

3x² + 12x - 135 = 0

Divide the above equation by 3 as

3x²/3 + 12x/3 - 135/3 = 0

x² + 4x - 45 = 0

x² + 9x - 5x - 45 = 0

x(x + 9) - 5(x + 9) = 0

(x - 5)(x + 9) = 0

x = 5 and x = -9

Therefore the sum will be -9 + 5 = -4

Hence "The total of the quadratic equation's answers will be -4".

For more about the quadratic equation,

https://brainly.com/question/17177510

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Answer:

No Solution

Step-by-step explanation:

This is impossible. x+1 is not x+2

Variables are always the same: x=x

Answer:

No their isn't

Step-by-step explanation:

Answer:

its A i think

Step-by-step explanation:

Hope this helps!

Answer:

$1.35 per pound

Step-by-step explanation:

25.65/19=1.35

Answer:

You would count another table for the remainder. Therefore, 8 tables are needed to seat 63 people. It does not matter whether all seats are filled on the 8th table.

Answer: Alright, I did UnU

Answer:

The value of h is 5

Step-by-step explanation:

Remember the if two lines are parallel and one is taller than the other and is asking for what that is the difference it is the y-intercept or what you call in this problem "h" since h is 5 digits above the answer is 5

Answer:

20 gallons of water.

Step-by-step explanation:

4 water bottles = 8 gallons

1 water bottle = 2 gallons

X = Number of Water bottles

N = Gallons Per Water Bottle

X * N

10 * 2

20

Following the proportions given in the table, it is found that in the 7th arrangement, there will be:

From the table, it can be seen that for the nth arrangement, the number of daisies and tulips follows a proportional relationship, that is:

Hence, in the 7th arrangement, there will be:

You can learn more about proportions at https://brainly.com/question/24372153

Answer: Minimum for $150: 2 Hours

Step-by-step explanation: First, Tiffany charges $30 per additional child. If she babysits for 4 children, you do 30 x 4, which is equal to 120. That would be the cost for the children. Now, if she charges $15 PER HOUR, then you just add up $15 + $15, which is $30, and you add that $30 to the $120. Which is $150. There you have it. If this is wrong, correct me please!

The error made by Kaitlyn when solving the system of equations is in step 2. Her solution will be incorrect.

The right option will be: No, she made an error in step 2. She should have found y = 0. 5.

Given the system of linear equations:

-3x + 2y = 8 ---> eqn. 1

3x + 2y = -6 ---> eqn. 1

First add both equations together:

Step 1: 4y = 2

Next, divide both sides by 4:

Step 2: y = 2/4

y = 0.5

Therefore, the error made by Kaitlyn when solving the system of equations is in step 2. Her solution will be incorrect.

The right option will be: No, she made an error in step 2. She should have found y = 0. 5.

Learn more about system of equations on:

https://brainly.com/question/11767839

Answer:

a) 8x + 5x = 13x

b) 9f + 10f - 12f = 7f

Step-by-step explanation:

For part b, just solve from left to right normally, since adding and subtracting are inverse operations. (Inverse operation; meaning they are opposites of each other.)

So 9 + 10 = 19, and 19 - 12 = 7.

Hope this helps you :)

Step-by-step explanation:

(a) 8x + 5x = 13x....simplified

(b) 9f + 10f - 12f = 7f.....simplified

Answer:

5/4

Step-by-step explanation:

125/100

(divide through by 25)

5/4