Solve the real-world situation by using the substitution method.

One smartphone plan costs $30 per month for talk and messaging and $8 per gigabyte of data used each month. A second smartphone plan costs $60 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 lbrace c = 30 + 8d c = 60 + 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:

x = 0

y = 2

Step-by-step explanation:

−6x + 6y = 6 −6x + 3y = −12

-6x+6x+6y-3y = 6

3y = 6

y = 2

checking:

6-6x+3.2 = -12

6-6x+6 = -12

12-6x = 12

x = 0

checking 2:

since x = 0 we ignore it and its multipliers from the equation:

6y=6+3y = 12

6.2 = 12 (check)

6+3.2 = 12

6+6 = 12 (check)

Answer: 80

Step-by-step explanation:

Given

15% of ? is 12

We multiply

Answer:

80

Step-by-step explanation:

15% × ? = 12

? =

12 ÷ 15% =

12 ÷ (15 ÷ 100) =

(100 × 12) ÷ 15 =

1,200 ÷ 15 =

80

Answer:

Step-by-step explanation: do y’all know answer

Answer:

d

Step-by-step explanation:

Answer:

59

9/5(15)+32 =59

Step-by-step explanation:

a

0

=

4

a

i

=

a

i

−

1

+

7

XXXX

possibly with the restriction 1<=i<=4 if this is not intended to be a continuous sequence

Explanation:

This is a simple arithmetic sequence with a difference of  

7

between ascending sequence terms.

Answer:

r=3

Step-by-step explanation:

12 times 3 is 36

18 times 3 is 54

25 times 3 is 75

what you are doing is plugging in X and seeing what X is multiplied to get Y

r•x=y

Answer:

I really don't know

which grade math is this Caz bro

Answer:x=24

CD= just 7

Step-by-step explanation:

Answer:

it knocks off $179.80 or the final cost which is $719.20.

Step-by-step explanation:

Answer:

$719.20

Step-by-step explanation:

899*0.2=179.8

899-179.8=719.2

Answer The Greatest Common Factor of 16, 40, 68 is 4. But the GCF of 16s^3t, 40s^5 and 68t^2 is 1, as there are no common terms for these given alphanumeric terms.

Step-by-step explanation:

Answer:

Slope: 5/2 or 2.5

Step-by-step explanation:

1. Put both of the y values together on the top of a fraction and the x values on the bottom.

It should look like this: [tex]\frac{8-3}{-3-(-5)}[/tex]

2. Now you need to simplify the y and x values. -3-(-5) is equal to 2 and 8-3 is 5.

I should now look like this: [tex]\frac{5}{2}[/tex]

3. That could be your answer as a fraction. Or you can take the extra step and  actually divide them. 5 divided by 2 is 2.5.

In the end, you will have a result of 5/2 or 2.5. That it the slope of the line of the points (-5,3) and (-3,8). I hope this helps and you actually understand it. Remember, don't cheat! Always do your best! Good luck!

The given points are:

As we know,

Slope, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

By substituting the values, we get

               [tex]= \frac{8-3}{-3-(-5)}[/tex]

               [tex]= \frac{5}{-3+5}[/tex]

               [tex]= \frac{5}{2}[/tex]

Thus the above answer is right.

Learn more about slope here:

https://brainly.com/question/19508711

Answer:

A. There is a positive leading coefficient

Step-by-step explanation:

Polynomials can be represented as an equation or graphs.

The incorrect option is: (b) There is a positive leading coefficient.

The polynomial has a degree of 4; this means that the degree of the polynomial is even.

So option (a) The degree of the polynomial is even is true

From the graph, we can see that the function decreases at (7<x<8) and (9<x<10)

This means that, the function decreases at two intervals

So option (d) There are two intervals where the function is decreasing is also true

Also, the function is at maximum at x = 7 and x = 9.

This means that:

Option (c) At two pH values, there is a relative maximum value

Hence, the incorrect option is:

(b) There is a positive leading coefficient.

This is so because, the graph decreases at some points on the graph.

This means that, the graph has a negative leading coefficient.

Read more about polynomials at:

https://brainly.com/question/17333460

Answer:

x=67

Step-by-step explanation:

Two ways to solve it:

1st way: Just looking at it, x is definitely not 180° because it’s to big of an angle, it is definitely not 113° because it’s still to big of an angle, and it’s also not 90° because it doesn’t form a right angle. So it must be 67°.

2nd way: Since two angles in a straight line add up to 180°, you can subtract 113° from 180° to find what x is. You can tell that 180° - 113° is equal to 67°

So either way, the answer is: x=67

Hope this helped! :)

Answer:

Step-by-step explanation:

Lets solve the expressions one by one

1. 7-5

we can see that it is simple subtraction. A smaller number is being subtracted from a large number.

So the answer is 2

2. -7+5

There are two numbers with different signs. When there is a number with plus and a number with minus both quantities are subtracted but the larger quantity determines the sign of the answer.

In this case, 7 is larger and has negative sign, the answer will be -2

3. -7-5

When there are two numbers with minus sign they are added but the answer has the minus sign with it.

So the answer will be: -12

4. 7-(-5)

When minus is multiplied with minus it converts to positive

So

[tex]= 7-(-5) = 7+5 = 12[/tex]

Hence,

Answer:

the slope is 10 dollars times how many ever shirts

the y-intercept is the design put on the shirt which costs 25

Answer:

$2.64

Step-by-step explanation:

I hoped I could help you!!

4 -2   5

5 -1    8

this is what it showed in brackets as the correct answer.

The matrix that represents the system of equations 4x-2y=5 and 5x- y=8  is [tex]\left[\begin{array}{cc}4&-2\\5&1\end{array}\right] \left[\begin{array}{c}5&8\end{array}\right][/tex]

The system of equations is given as:

4x-2y=5

5x- y=8

Remove the variables

x     y  

4    -2    5

5    -1    8

Represent as a matrix

[tex]\left[\begin{array}{cc}4&-2\\5&1\end{array}\right] \left[\begin{array}{c}5&8\end{array}\right][/tex]

Read more about matrix at:

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Answer:

Huh? Is this like a real question?

Answer:

the picture isnt showing

Answer:

400 ; 720

Step-by-step explanation:

Given that :

My score = 5 point for every 9 points scored by my friend ; hence my score is always 4 points less than my friend's score.

Let number of shot = x

Also my score x is 320 less than my friend's score

Hence after x shots

My score = friend's score - 320

5x = 9x - 320

5x - 9x = - 320

-4x = - 320

x = 80

Hence ;

My score = 5x = 5* 80 = 400

My &friend's score = 9 * 80 = 720

Answer:

The measure for angle 1 is 102 degrees. They would be interior angles because they add up to be 180 degrees.

Step-by-step explanation:

Hope this helps!! Please mark me brainliest!!

Answer:

here is the ratio  1 : 1.25   (sharks: dolphins)

Step-by-step explanation:

The ratio of sharks to dolphins is 4 : 5

Suppose the  real measurements were "a" and "b"

This shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly cancelled from both the numerator and the denominator.

Thus, a = px, b = qx

Given Number of sharks = 4

Number of dolphins = 5

Therefore, the ratio of sharks to dolphins

= 4 : 5

Or  1 : 1.25

Number of animals = number of sharks + number of dolphins

Number of animals = 4 + 5 = 9

Learn more about ratio here:

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Answer:

Solving the radical [tex]4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})[/tex] we get [tex]\mathbf{-16\sqrt{30}+72}[/tex]

Step-by-step explanation:

We need to simplify the radical: [tex]4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})[/tex]

Prime factors of 18 are: 2x3x3

Replacing [tex]\sqrt{18}[/tex] with its factors

[tex]4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})\\=4\sqrt{2}(-4\sqrt{15}+3\sqrt{2\times3\times3})\\=4\sqrt{2}(-4\sqrt{15}+3\sqrt{2\times3^2})[/tex]

We know that [tex]\sqrt{3^2}=3[/tex]

[tex]=4\sqrt{2}(-4\sqrt{15}+3\times3\sqrt{2})\\=4\sqrt{2}(-4\sqrt{15}+9\sqrt{2})[/tex]

Multiplying [tex]4\sqrt{2}[/tex] with terms inside the bracket

[tex]=4\sqrt{2}(-4\sqrt{15})+4\sqrt{2}( 9\sqrt{2}))\\=-16\sqrt{2}\sqrt{15}+36\sqrt{2} \sqrt{2}[/tex]

We know that [tex]\sqrt{2} \sqrt{2}=2[/tex]

[tex]=-16\sqrt{2*15}+36(2)\\=-16\sqrt{30}+72[/tex]

So, solving the radical [tex]4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})[/tex] we get [tex]\mathbf{-16\sqrt{30}+72}[/tex]

Answer:

Pretty sure it's 29

Step-by-step explanation:

The triangle has to be 180 degrees so 15+36=51 180-51=29

Answer:

45°

In a triangle all the angles added together will equal 180°

The answer to this is A.