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k0ka [10]
2 years ago
11

Under his cell phone plan, Oliver pays a flat cost of $49 per month and $5 per gigabyte. He wants to keep his bill at $73.50 per

month. How many gigabytes of data can he use while staying within his budget?
Mathematics
1 answer:
nordsb [41]2 years ago
8 0
Four gigabytes (4.9)

$73.5-$49=$24.5
$24.5/$5 =4.9
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40 points, please help with all of them
Kitty [74]

Answer:

\large\boxed{Q1.\ \text{2 times greater}}\\\\\boxed{Q2.\ J. 3}\\\\\boxed{Q3.\ B. -\dfrac{4}{5}}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

Q1.

We have the equation of a line <em>p </em>in the standard form

4x-3y=7

Convert to the slope-intercept form:

4x-3y=7               <em>subtract 3x from both sides</em>

-3y=-4x+7              <em>divide both sides by (-3)</em>

y=\dfrac{4}{3}x-\dfrac{7}{3}

The slope m_1=\dfrac{4}{3}

From the table we have the points (4, 3) and (7, 5). Calculate the slope of line <em>q</em>:

m_2=\dfrac{5-3}{7-4}=\dfrac{2}{3}

Divide the slope of <em>p</em> by the slope of <em>q</em>:

\dfrac{4}{3}:\dfrac{2}{3}=\dfrac{4}{3}\cdot\dfrac{3}{2}=2

Q2.

Parallel line have the same slope. Therefore, if we have the equation of the line in the slope-intercept form, then we have the slope:

y=3x+2\to m=3

Q3.

Parallel line have the same slope.

Calculate the slope from given points (-11, 5) and (-6, 1):

y=\dfrac{1-5}{-6-(-11)}=\dfrac{-4}{-6+11}=\dfrac{-4}{5}=-\dfrac{4}{5}

6 0
3 years ago
64000 / blank equals 800
Irina18 [472]

Answer:

= 80

Step-by-step explanation:

64000/80 = 80

3 0
3 years ago
Read 2 more answers
Can somebody help me please ​
vesna_86 [32]

9514 1404 393

Answer:

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Step-by-step explanation:

The usual method for doing this is to let n represent the smallest one. Then the three integers are ...

  n, n+2, and n+4

and their sum is ...

  (n) +(n+2) +(n+4) = 3n+6 . . . . sum of 3 consecutive odd integers (n = smallest)

_____

Personally, for consecutive number problems, I prefer to let the variable represent the average value. If n is the average value of 3 consecutive odd integers, is is the middle integer. Of course, the sum will be 3 times the average:

  (n-2) +(n) +(n+2) = 3n . . . . sum of 3 consecutive odd integers (n = middle one)

4 0
3 years ago
Michelle needs to buy some wood to build a rectangular box that is 12 inches long 8 inches wide and 10 inches high and net worth
Anettt [7]
Since it’s asking for square inches on a rectangular prism, this is solving for surface area. So we use the following formula:
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2(10*8)+2(10*12)+2(8*12)
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592 sq. in.
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2 years ago
It is given that D is inversely proportional to v m
Darina [25.2K]

Answer:

Step-by-step explanation:

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8 0
3 years ago
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