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:

Step-by-step explanation:

-6

Answer: 1/2

Step-by-step explanation:

Answer:

1 and 1/2

Step-by-step explanation:

Answer:

Jamie is 56 years old and savannah is 24 years old

Step-by-step explanation:

60 split in half 30, then savannah is 16 years younger than jamie so u subtract 16 from 30 and u get 14, then u add the 16 to the other 30 and get 46. Then you add 10 to each of  those numbers.

Answer:

12:10 or 6:5

Step-by-step explanation:

If 2 more girls join, the ratio will be 12:10 or 6:5.

Let -4x - 15y = 17 be known as equation 1 and -x + y = -13 as equation 2.

To solve the system of equations, we need to determine the value of the "x" and "y" variables. Let us start by determining the value of the y variable.

Note: Since the second equation looks easier to solve for y (in my opinion), I will determine the value of y in the second equation.

This can be done by isolating y on one side of the equation.

Equation 2: [tex]\bold{-x + y = -13}[/tex]

Add "x" on both sides of the equation:

[tex]\implies -x + y = -13[/tex]

[tex]\implies -x + y + x = -13 + x[/tex]

[tex]\implies y = -13 + x[/tex]

Therefore, the value of y is -13 + x. Let us substitute the value of y, obtained from equation 2, into equation 1 to determine the value of x.

Equation 1: [tex]\bold{-4x - 15y = 17}[/tex]

Substitute the value of y in the equation:

[tex]\implies 4x - 15y = 17[/tex]

[tex]\implies -4x - 15(-13 + x) = 17[/tex]

Simplify the distributive property:

[tex]\implies -4x - 15(-13 + x) = 17[/tex]

[tex]\implies -4x + (195 - 15x) = 17[/tex]

[tex]\implies -4x + 195 - 15x = 17[/tex]

Combine like terms on both sides:

[tex]\implies -4x + 195 - 15x = 17[/tex]                                         

[tex]\implies -19x + 195 = 17[/tex]                                                                

Subtract 195 on both sides of the equation:                      

[tex]\implies -19x + 195 = 17[/tex]                                                                    

[tex]\implies -19x + 195 - 195 = 17 - 195[/tex]                                    

[tex]\implies -19x = -178[/tex]                                                                        

Divide -19 on both sides of the equation:                        

[tex]\implies -19x = -178[/tex]                                                                

[tex]\implies \dfrac{-19x}{-19} = \dfrac{-178}{-19}[/tex]                                                      

[tex]\implies \bold{x = \dfrac{178}{19} }[/tex]                                                                        

Now, substitute the value of x in -13 + x to determine the value of y. Once determined, we can put the solution in (x, y) form.

[tex]\implies y = -13 + x[/tex]

[tex]\implies y = -13 + \dfrac{178}{19}[/tex]          

[tex]\implies y = \dfrac{-247}{19} + \dfrac{178}{19}[/tex] 

[tex]\implies \bold{y = \dfrac{-69}{19} }[/tex]

∴ Solution ⇒ (x, y) ⇒ (178/19, -69/19)

Therefore, the solution to the following system of equations is (178/19, -69/19)

Learn more about system of equations: https://brainly.com/question/13024262

Answer:

9.016025oz

Step-by-step explanation:

Answer: 9.016

Step-by-step explanation:

for an approximate result, divide the mass value by 28.35

Answer:

d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Got it right in use test prep

Answer:

10 tickets for $31.50

Step-by-step explanation:

So If we divide 22.75 by 7 it gives you 3 dollars and 25 cents per ticket

If you divide 31.50 by 10 it gives you 3 dollars and 15 cents.

So In conclusion 10 tickets for $31.50 dollars is the better buy

Answer:

10 Tickets Is The Better Deal

Step-by-step explanation:

So What You Do Is You Will Divide 22.75 By 7

You Will Get 3.25! That Means Its 3.25 Each For 7 Tickets

For The Next One You Do The Same Thing

You Want To Divide 31.50 By 10

You Will Get 3.15! That Means Its 3.15 Each For 10 Tickets

So 3.15 Is 10 Cheaper Than 3.25 So Getting 10 Tickets Is A Better Deal

Hope This Help

DOH! My Brain Hurts

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.

wowwwww he just roasted youuuuuuuuuu!!!!!

Answer:

the picture isnt showing

Answer:

13

Step-by-step explanation:

convert percent to decimal: .20

.20 x 65

13

Answer:

A. (-5, 0) and (1, -3)

B. Slope (m) = -½

C. y + 3 = -½(x - 1)

D. y = -½x - ⁵/2

E. ½x + y = ⁵/2

Step-by-step explanation:

A. Two points on the line from the graph are: (-5, 0) and (1, -3)

B. The slope can be calculated using two points,(-5, 0) and (1, -3):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 0}{1 -(-5)} = \frac{-3}{6} = -\frac{1}{2} [/tex]

Slope (m) = -½

C. Equation in point-slope form is represented as y - b = m(x - a). Where,

(a, b) = any point on the graph.

m = slope.

Substitute (a, b) = (1, -3), and m = -½ into the point-slope equation, y - b = m(x - a).

Thus:

y - (-3) = -½(x - 1)

y + 3 = -½(x - 1)

D. Equation in slope-intercept form, can be written as y = mx + b.

Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.

y + 3 = -½(x - 1)

2(y + 3) = -1(x - 1)

2y + 6 = -x + 1

2y = -x + 1 - 6

2y = -x - 5

y = -x/2 - ⁵/2

y = -½x - ⁵/2

E. Convert the equation in (D) to standard form:

y = -½x - ⁵/2

½x + y = ⁵/2

Answer:

2 rows of 41

Step-by-step explanation:

....... i think

I have the same question, and I have nothing in my brain....-_-''

Answer:

490 days or 70 weeks

Step-by-step explanation:

Time needed for the farmer to fill 1 bin of squash:

7 days (1 week) divided by 5 = 7/5 days

Time needed to fill 350 bins:

350 x 7/5 days = 490 days or 70 weeks

Answer:

THE IS ANSWER IN THE ATTACHMENT

Answer: Y=-1/4x

Step-by-step explanation:

A good way to find an equation of a line is to look for the slope. An obvious spot on this line would be when it crosses (0,0), and another one to the right would be when it crosses at (4,-1).

The slope is rise over run, or if we use the two points we found, "rise" would be -1, because it's dropping 1 unit when going from (0,0) to (4,-1), and the "run" would be 4, because it moves to the right 4 from (0,0) to (4,-1).

Putting these two values together we get:

m (slope) = rise / run

m = -1 / 4

Out of all the equations we're given, we can look for the one with a slope of -1/4, which is given to us:

y = (-1/4)x

Answer:

x-30=-15

Step-by-step explanation:

x-30=-15

subtact 30 from both sides

I don't ever understand this !

Answer:

wait what? sorry ,,,,,,,

Answer:

multiply

Step-by-step explanation:

it depends on how much eric has currently

Ex: eric has 3 teaspoons of water and 4 cups of flour

3x3=9

so he has 9 teaspoons intead of 3

4x3=12 so he needs 12 cups of flour

Answer:

$1050 in total including the interest.

Step-by-step explanation:

The answer is 1050 because 5% of 600 is 30 and 30 multiplied by 15 is 450, and 600 plus 450 is 1050

Answer:

jasmine: x

dessie: 2x

hope it helps

please mark me brainliest

The variables as per the given statement for jasmine and Dessie will be x and 2x.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the instructions provided in the question,

Dessie can type twice as compared to Jasmine per minute.

Let's assume that Jasmine can type x words per minute.

Then,

Twice Jasmine will be equal to 2x.

Then, the words typed by Dessie will be 2x per minute.

To know more about the expression:

https://brainly.com/question/14083225

#SPJ2

Answer:

a

Step-by-step explanation:

you should Mark me brainliest;)

Answer:

C

Step-by-step explanation:

Answer:

The answer is "0.0764"

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]\to \mu = \$ \ 4064\\\\\to \sigma = \$ \ 460 \\\\\to \sigma \bar{x} = \frac{\sigma}{\sqrt{n}}\\\\[/tex]

        [tex]= \frac{460}{\sqrt{21}}\\\\ = \frac{460}{4.58257569}\\\\=100.3802[/tex]

[tex]\to P(\bar{x}< \$ \ 3920) = \frac{P((\bar{x} - \mu \bar{x})}{\frac{\sigma \bar{x}<(3920 - 4064)}{100.3802)}}[/tex]

[tex]\to P(z < -1.43) = 0.0764 \\\\\to P(\bar{x}< \$ \ 3920) = 0.0764\\\\[/tex]

Answer:

746590.75

You can alos just type it into a calculator.

Answer:

The intensity of the 2012 earthquake was about 126 times the intensity of the 1952 earthquake.

Step-by-step explanation:

To compare the intensities, we first need to convert the magnitudes to intensities using the log formula. Then we will set up a ratio to compare the intensities.

Convert the magnitudes to intensities and convert to exponential form.

R=logI

2012 earthquake:

8.6I=logI=108.6

1952 earthquake:

6.5I=logI=106.5

Form a ratio of the intensities.

intensity for 2012intensity for 1952

Substitute in the values and divide by subtracting the exponents to find

108.6106.5102.1≈126.

The intensity of the 2012 earthquake was about 126 times the intensity of the 1952 earthquake.

Your answer:

The intensity of the 1952 earthquake was about 110 times the intensity of the 2012 earthquake.

Answer:

The intensity of the 2012 earthquake was about 126 times the intensity of the 1952 earthquake.

Step-by-step explanation:

To compare the intensities, we first need to convert the magnitudes to intensities using the log formula. Then we will set up a ratio to compare the intensities.

Convert the magnitudes to intensities and convert to exponential form.

R=logI

2012 earthquake:

8.6I=logI=108.6

1952 earthquake:

6.5I=logI=106.5

Form a ratio of the intensities.

intensity for 2012intensity for 1952

Substitute in the values and divide by subtracting the exponents to find

108.6106.5102.1≈126.

The intensity of the 2012 earthquake was about 126 times the intensity of the 1952 earthquake.