Under his cell phone plan, Joseph pays a flat cost of $48 per month and $3 per gigabyte, or part of a gigabyte. (For example, if he used 2.3 gigabytes, he would have to pay for 3 whole gigabytes.) He wants to keep his bill under $55 per month. What is the maximum whole number of gigabytes of data he can use while staying within his budget?


Answer:

gigabytes

gigabytes

Answer:

the Answer is C

Step-by-step explanation:

We are given –

As we know that –

[tex].\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \huge \boxed{ \bf{ \: \: \: \: \: \: }} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tiny\sf{A \: rectangle} [/tex]

According to the question –

[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow Perimeter _{(Rectangular) } = 2( Length + Breadth) }[/tex]

[tex]\qquad[/tex][tex] \bf \longrightarrow Perimeter _{(Rectangular) } = 2 (l + w)[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 40 = 2( w+ 4 +w)[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 40 = 2 ( 2w +4)[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 40 = 4w +8[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 4w = 40-8[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 4w = 32[/tex]

[tex]\qquad[/tex][tex]\sf \longrightarrow w = \cancel{\dfrac{32}{4}}[/tex]

[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow w = 8 \:feet}[/tex]

Substituting the value of w–

[tex]\qquad[/tex][tex]\purple{\bf \longrightarrow Length\: of \: rectangle = (w+4)\: feet }[/tex]

[tex]\qquad[/tex][tex]\bf \longrightarrow Length\: of \: rectangle = 8+ 4 \:feet [/tex]

[tex]\qquad[/tex][tex]\purple{\bf \longrightarrow Length\: of \: rectangle = 12\: feet}[/tex]

__________________________________________

Answer:

parallel

Step-by-step explanation:

3x + 2y = 6 can be written as y = -3/2x +3

4y = -6x -12 can be written as y= -3/2x-3

same slope different y intercept so parallel

Looking at the first system of equations,

16x - 10y = 10

-8x - 6y = 6

If we multiply both sides of the second equation by 2, the coefficient of x is exactly the negative of the coefficient of x in the first equation.

-8x - 6y = 6

⇒   2 (-8x - 6y) = 2 (6)

⇒   -16x - 12y = 12

By combining this new equation with the first one, we can eliminate x and solve for y :

(16x - 10y) + (-16x - 12y) = 10 + 12

⇒   -22y = 22

⇒   y = -1

Then we just solve for x by replacing y in either equation.

16x - 10y = 10

⇒   16x - 10 (-1) = 10

⇒   16x + 10 = 10

⇒   16x = 0

⇒   x = 0

The main idea behind elimination is combining the given equations in just the right amount so that one of the variables disappears. The "right amount" involves using the LCM of the coefficients of a given variable. In this example, the x-coefficients had LCM(8, 16) = 16, so we only had to scale one of the equations (the one with -8x) to cancel all the x terms.

If we wanted to eliminate y first instead, we first note that LCM(6, 10) = 30. To get 30 as a coefficient on y, in the first equation we would have multiplied by 3:

16x - 10y = 10

⇒   3 (16x - 10y) = 3 (10)

⇒   48x - 30y = 30

And in the second equation, we would have multiplied by -5 (negative so that upon combining the equations, we end up with -30y + 30y = 0):

-8x - 6y = 6

⇒   -5 (-8x - 6y) = -5 (6)

⇒   40x + 30y = -30

Now combining the two scaled equations gives

(48x - 30y) + (40x + 30y) = 30 + (-30)

⇒   88x = 0

⇒   x = 0

We then solve for y :

16x - 10y = 10

⇒   -10y = 10

⇒   y = -1

so we end up with the same solution as before.

[tex]7^5 \cdot \dfrac{7^3}{7^2}\\\\=7^5 \cdot 7^{3-2}\\\\=7^5 \cdot 7^1 \\\\=7^{5+1}\\\\=7^6[/tex]

Answer:

y = 2x - 4

Step-by-step explanation:

Given:

x1 = 5

y1 = 6

slope (m) = 2

Solution:

y - y1 = m ( x - x1 )

y - 6 = 2 ( x - 5 )

y - 6 = 2x - 10

y = 2x - 10 + 6

y = 2x - 4

Answer:

I’d go with number 2 and number 4.

Answer:

Step-by-step explanation:

x^2 = 5x + 24                                Transfer (subtract) 5x + 24 to the left.

x^2 - 5x - 24 = 5x-5x+24  -24

x^2 - 5x - 24 = 0                            This does factor. -8 and 3  are your factors.

(x - 8)*(x + 3) = 0

So if x - 8 = 0

then x - 8 + 8 = 0 + 8

x = 8

If x + 3 = 0

then x = - 3

Are these both correct?

x^2 = 5x + 24

x = 8

8^2 = 5*8 + 24

64 = 40 + 24

64 = 64

and x - 8 is a factor

x^2 = 5x + 24

x = - 3

(-3)^2 = 5 * -3 + 24

9 = -15 + 24

9 = 9

And x + 3 is a correct factor

19

Explanation:

9-3=6

(Check your work)

3+6=9

__________________________________

6÷1/3=18

(Check your work)

(6×3=18)

__________________________________

18+1=19

Therefore,

the answer is 19!

Answer:

6x+20=5x+25

5 days

Step-by-step explanation:

Let x = the days that they have the same amount of signatures

We know Anna has 20 currently and gets 6 per day, so we can use y=mx+b to describe her linear relationship.

We also know that Sam has 25 and gets 5 per day, so we can again use y=mx+b to describe his linear relationship.

Since both equations equal the variable y, we can say they equal each other and set up 6x+20=5x+25.

Then you subtract 20 from both sides and subtract 5x, so you are left with x =5, or 5 days until they have the same amount of signatures

Hope this made sense :D

Answer:

Is that the entire question? I want to help but I don't see a full question it looks like half of one

Answer:

64/24

32/12

16/6

8/3

8:3

Hope This Helps!!!

Answer:

(7−2)(3)(24−11)

=(5)(3)(24−11)

=15(24−11)

=(15)(13)

=195

Step-by-step explanation:

Answer: She would make $132 a day by cleaning tables for 12 hours and getting 11 per hour. She would have to get rid of 1 hour and 90 minutes of lifeguarding to get the same pay.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

negative times a negative equals a positive

Answer:

ax+ab-c=0, 12

Step-by-step explanation:

If x=1, then 4(x-7)=20

4x-28=20

add 28 on both sides

48/4=x

x=12

Answer:

this is my answer

Step-by-step explanation:

4(x-7)=20. divide both sides

x-7=5 move the constant to the right

x=5+7. calculate

so the answer is x=12

I hope it helps

Answer:

length = 7

pls mark me the brainliest

Step-by-step explanation:

A = Lw

35 = x (x -2)

35 = x2 - 2x

x2 -2x -35 = 0

(x-7)(x+5) = 0  

x-7=0

x=7       (we won't use the other factor since it would give us a negative length

so length = 7

Answer:

60°

Step-by-step explanation:

180° in a triangle.

180° ÷ 3 = 60°

The measure of each of the given angles of a triangle is 60°.

Given is that all three angles of a triangle are congruent.

Consider a triangle ΔABC. Since the angles of the triangle are congruent, we can say that -

∠A = ∠B = ∠C = X°

and also we can write -

X° + X° + X° = 180°

3X° = 180°

X° = 60°

Therefore, the measure of each of the given angles of a triangle is 60°.

To solve more questions on congruent triangles, visit the link below -

https://brainly.com/question/22062407

#SPJ2

Answer:

No solution

Step-by-step explanation:

Create an equation with the values given. Solve like an algebraic question.

11 > 3*x = 75> -1*x

3*x and -1*x should lead to a value greater than 11.

Since there is no value that can be multiplied by a negative and be a positive, besides negative numbers, in which the term of 11>3*x wouldn't be positive, this would have no solution.

No solution.

Answer:

Point R is at (−40, −30), a distance of 60 units from point Q

Step-by-step explanation:

Correct option is ,

Point R is at (-40, 30) , a distance of 60 units from Point Q.

hope this answer helps you dear take care!

dang this looks so confuseing

Answer:

21

Step-by-step explanation:

5(21)-12=93

3(21)+30=93

Answer:

80%

Step-by-step explanation:

20:25*100 =

(20*100):25 =

2000:25 = 80

Now we have: 20 is what percent of 25 = 80

Question: 20 is what percent of 25?

Percentage solution with steps:

Step 1: We make the assumption that 25 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=25$.

Step 4: In the same vein, $x\%=20$.

Step 5: This gives us a pair of simple equations:

$100\%=25(1)$.

$x\%=20(2)$.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{25}{20}$

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{20}{25}$

$\Rightarrow x=80\%$

Therefore, $20$ is $80\%$ of $25$.

Hopes This Helps :)

Answer:

Step-by-step explanation:

Box

Area of the box

Area = s^2

s = 12 inches

Area = 12^2

Area = 144

Pizza

Area = pi r^2

Area = 3.14 * 5^2

Area = 25 * 3.14

Area = 78.5

Difference = 144 - 78.5

Difference = 65.5

Answer:

The constant of proportionality is thus 1

Step-by-step explanation:

Note that the green line passes through (6, 6) and has a y-intercept of 0.  Thus, the equation of the line is y = (6/6)x + 0, or y = x, or y = 1x.

The constant of proportionality is thus 1, which is also the slope of this line.

1. You can solve a system of equations using graphs when there are no decimals or fractions in the equations. This can allow you to almost precisely plot a graph, and determine the values of the variables.

2. You can use the substitution method when one (or both) of the equations is already solved for one of the variables.

3. Elimination is best used when the equations are written in the form Ax + B = C, and also when the coefficients are values not equal to 1.

Answer:

0

I hope this is the correct answer

Answer: Slope = 0, y-intercept = 3

Step-by-step explanation:

The inequality is a horizontal line, where everything below 3 is agrees with the inequality

The slope of any flat line is 0, and the y-intercept is always the constant (y=mx+b) in slope-intercept form, in this case it is 3

Answer:

20 Yards

Step-by-step explanation:

3 feet = 1 yard

60 / 3 = x yards

20 yards