Under her cell phone plan, Katherine pays a flat cost of $50 per month and
$5 per gigabyte. She wants to keep her bill at $71 per month. How many
gigabytes of data can she use while staying within her budget?

Answer:

Step-by-step explanation:

This table reflects the proportional relationship amongst number of teaspoons, number of tablespoon, number of cups.

In other words these three measures are proportional.

By taking proportionality ratio of 'number of tablespoons' and 'number of cups' first.

[tex]\frac{12}{48}=\frac{C}{3}[/tex]

C = [tex]\frac{12\times 3}{48}[/tex]

C = 0.75

Similarly, [tex]\frac{y}{2}=\frac{12}{C}[/tex]

[tex]\frac{y}{12}=\frac{2}{0.75}[/tex]

y = [tex]\frac{24}{0.75}[/tex]

y = 32

Now, [tex]\frac{t}{36}=\frac{y}{12}[/tex]

[tex]\frac{t}{36}=\frac{32}{12}[/tex]

t = 96

By the same rule,

[tex]\frac{36}{x}= \frac{12}{48}[/tex]

x = [tex]\frac{48\times 36}{12}[/tex]

x = 144

Therefore, complete table will be,

Number of teaspoons       Number of tablespoons          Number of cups

          96                                            32                                          2

          36                                            12                                        0.75

         144                                            48                                          3

Answer:

The larger angle <K, has a measure of 120 degrees.

Step-by-step explanation:

So, a supplementary angle are two or more angles that combine to form a 180 degree straight line.  So here, we need to set up an algebra equation.

2x = the larger angle (because it's two times the smaller angle)

x = the smaller angle

So then, you need to set both equal to 180 degrees, since combine they equal 180 degrees

2x + x = 180

3x = 180

x = 60

Using basic algebra, we see that the smaller angle is 60 degrees, but wee need to find the larger angle.  Remember, we represented the larger angle as 2x.  

2 time 60 is 120, so the larger angle is 120 degrees

Hope that helps :)

Answer:

26018.979

yea...

Answer:

The enlarged picture will have a width of 35.8 cm

Step-by-step explanation:

We can solve this question by proportions, using rule of three.

When the length is of 15 centimeters, the width will be of 14.5 centimeters. What is the width when the length is 37 centimeters?

15 cm - 14.5 cm

37 cm - x

Applying cross multiplication

[tex]15x = 14.5*37[/tex]

[tex]x = \frac{14.5*37}{15}[/tex]

[tex]x = 35.8[/tex]

The enlarged picture will have a width of 35.8 cm

Answer:

36.25 cm

Step-by-step explanation:

37.5 divided by 15 is 2.5 then multiply 14.5 by 2.5 and your answer will be 36.25 cm.

I hope this helps the last answer you got was close but incorrect. I really hope I get brainlyiest. :)

Answer:

C. Lines with arrows that point outward radiate from the charge in all

directions.

The statement which best describes the electric field around a positive charge is  Lines with arrows that point outward radiate from the charge in all directions, the correct option is C.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that;

The four options

Now,

This is because the electric field at a point in space is in the direction of the force that the electric field would exert on a positive test charge if there were a positive test charge at that point in space1. Because positive charges repel each other, the electric field around an isolated positive charge is oriented radially outward.

Therefore, by unitary method the answer will be Lines with arrows that point outward radiate from the charge in all directions.

Learn more about the unitary method, please visit the link given below;

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Answer:

11. 35 ft²

12. 24 cm²

13. 18 ft²

14. 28 in²

15. 9 in²

Step-by-step explanation:

11. A= (b×h)÷2

= (10×7)÷2

= 70 ÷ 2

= 35 ft²

12. A= (b×h)÷2

= (8×6)÷2

= 48 ÷ 2

= 24 cm²

13. A=(b×h)÷2

=(9×4)÷2

= 36 ÷ 2

= 18 ft²

14. A=(b×h)÷2

=(7×8)÷2

= 56 ÷ 2

= 28 in²

15. A=(b×h)÷2

=(3×6)÷2

= 18 ÷ 2

= 9 in²

Good luck ^_^

Hope this answer your question

Answer:

Step-by-step explanation:

12

Answer:

b(2,-2)

Step-by-step explanation:

x= 2 and y=-2

let me know if you want further eplanation

Answer:

$294

Step-by-step explanation:

8(36.75) = $294

Answer:

294

Step-by-step explanation:

8(36.75)

= $294

9514 1404 393

Answer:

  1e. 2t² +8t -6

  2h. a² +2ab -3b²

  3b. 8r +4

  4b. 6x +4y -11

  5b. e -3

Step-by-step explanation:

1e. Combine like terms.

  (3t² +3t -6) +(-t² +5t) = t²(3 -1) +t(3 +5) -6

  = 2t² +8t -6

__

2h. (2a² +3ab -4b²) -(a² +ab -b²)

Use the distributive property to eliminate parentheses. Note that all signs change in the second set of parentheses.

  = 2a² +3ab -4b² -a² -ab +b² = a²(2 -1) +ab(3 -1) +b²(-4+1)

  = a² +2ab -3b²

__

3b. The hash marks indicate sides of the same length. The perimeter is the sum of all side lengths.

  P = (4r -2) +2(2r +3)

  P = 4r -2 +4r +6 . . . . . . eliminate parentheses

  P = 8r +4 . . . . . . . . . . . . combine like terms

__

4b. (3x +4y) +(5x -8) -(2x +3)

Note that the distributive property changes the sign of all terms in the last parentheses.

  = 3x +4y +5x -8 -2x -3 . . . . eliminate parentheses

  = x(3+5-2) +y(4) +(-8-3) . . . group like terms

  = 6x +4y -11

__

5b.

  Bill's age - Erin's age = (2e-3) -(e) = e -3

The difference in their ages is (e -3).

Answer:

What is your question dude???

Step-by-step explanation:

Answer:

Point C

Step-by-step explanation:

I just did It :). it went clockwise which is why it's NEGATIVE 30. If it were point D, it'd probably be about 60 degrees or so.

Answer:

y=14

Step-by-step explanation:

solve for y by simplifying both sides of the equation then insolating the variable

Answer:

B and A

.......................

Answer:

M' and N'O'

Step-by-step explanation:

Answer:

15/19

Step-by-step explanation:

6/x +2/5 = 8

(multiply through by x)

6 + 2x/5 = 8x

(minus 8x from both sides)

-38x/5 + 6 = 0

(subtract 6 from both sides)

-38x/5 = -6

(times by -1)

38x/5 = 6

Times 6 by 5 and then divide by 38.

=15/19

[tex]\pink{\bigstar}[/tex] Value of x [tex]\large\leadsto\boxed{\tt\purple{\dfrac{15}{19}}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf \dfrac{6}{x} = 8 - \dfrac{2}{5}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Taking L.C.M:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf \dfrac{6}{x} = \dfrac{40-2}{5}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf \dfrac{6}{x} = \dfrac{38}{5}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Cross multiplying:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf 6 \times 5 = 38 \times x[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf 30 = 38 \times x[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Taking x term one side:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf x = \dfrac{30}{38}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Simplifying the fraction:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\large{\bold\red{x = \dfrac{15}{19}}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore, value of x is 15/19.

Answer:

72

Step-by-step explanation:

find the small square first. to find the height, subtract 3 from 9. you get 6. then to find the length, subtract 6 from 12. you also get 6. so the square is 6x6 which equals 36. then go to the top rectangle. hieght is 3 and length is 12. 3x12 is also 36. 36+36 is 72.

pls mark brainliest.

Answer:

h = 34

Step-by-step explanation:

64=h+30

Step 1: Flip the equation.

h+30=64

Step 2: Subtract 30 from both sides.

h+30−30=64−30

h=34

Answer:

x = -7

Step-by-step explanation:

-7x + 2 = 51

-7x = 51 - 2

-7x = 49

x = -7

Answer:

Step-by-step explanation:

f(x)=7(x^2+3x-10)=7(x+2)(x-5)

Option A is correct, a parent function  best describes the quadratic function.

The quadratic function with a vertex at the origin and opening upward is best described as a parent function.

A parent function is the most basic form of a particular type of function.

In the case of quadratic functions, the parent function is f(x) = x².

It has a vertex at the origin (0, 0) and opens upward.

Therefore, a parent function  best describes the quadratic function.

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

#SPJ6

Answer:

A

Step-by-step explanation:

FV=PV(1+i)^t

2500(1+.03)^4

A

Answer:

A

Step-by-step explanation:

It is the only one that shows 3% = 0.03 which is correct.

Answer:

9/10

Step-by-step explanation:

=

7

10

+

20

100

=

7

10

+

1

5

=

7

10

+

2

10

=

7+2

10

=

9

10

(Decimal: 0.9)

Answer:

[tex]\frac{9}{10}[/tex]

Step-by-step explanation:

[tex]\frac{20}{100} = \frac{2}{10}[/tex]

[tex]\frac{7}{10} + \frac{2}{10} = \frac{9}{10}[/tex]

Answer:

its 1,645.32

Step-by-step explanation:

search one twelfth of 3,478.50, then one twelfth of 1,186 and add those answers with 1,645.32

Answer:

B. (0, 5)

Step-by-step explanation:

All points on the blue shaded area are solutions. Points on the dashed line and on the white area are not solutions.

(-3, -6) and (3, 2) are on the dashed line and are not solutions.

(5, 0) is in the white area and is not a solution.

(0, 5) is in the shaded area and is a solution.

Answer: B. (0, 5)

Answer:

26.37

Step-by-step explanation:

you change 1/10 too 10 percent then you multiply that too  29.30 and you get 2.93 then you subtract 2.93 from 29.30 and you get 26.37 :)