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Softa [21]
3 years ago
11

ramon is saving $7.75 per week to buy a mew cell phone.The phone he wants costs $125.00. For how many weeks will he save his mon

ey?
Mathematics
1 answer:
Alexandra [31]3 years ago
3 0
125 ÷ 7.75 = 16.13

So, he will need to save for 17 weeks to be able to afford the phone.
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Sam opened a savings account by depositing $2,500. He will receive 5% compound interest and he leaves the money in the savings a
Alexandra [31]

Answer:

120 1 062 = × P . giving P = ÷ 120 1 062 . = 106 799

3 0
2 years ago
The line plot shows the number of letters in the last name of 12 children.
Ainat [17]

Answer:

The mode is 9 letters: True

The median is 7.5 letters: True

The mean is 7 letters: False

The graph is skewed right with an outlier of 2: False

Step-by-step explanation:

1) The mode is 9 letters. (True)

The mode is the value that shows up the most. 9 letters shows up the most as the length of a child's last name.

2) The median is 7.5 letters. (True)

The median is one of the middle points of a data set. This can be found by writing out all of the results from least to greatest, and crossing out each number starting from the ends.

2, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 9

Once you meet in the middle, you should be left with 7 and 8. In this case, we find the mean of the two numbers, which is 7.5. (In cases where the data set has an odd amount - if there were 13 children instead of 12), you'd just use the middle piece of data.

3) The mean is 7 letters. (False)

The mean is also a middle point of a data set. However, this one is different. The mean can be found by adding up all of the numbers in the data set (2+6+6+7+7+7+8+8+9+9+9+9) and then dividing that number by the amount of numbers are in the data set. Setting this up as an expression would look like: \frac{2+6+6+7+7+7+8+8+9+9+9+9}{12}. By plugging this into a calculator you'd get 7.25 instead of just 7.

4) The graph is skewed right with an outlier of 2.

Although the outlier of 2 part of the statement is correct, the graph is not skewed right; it is skewed left.

5 0
2 years ago
Dustin says that 8 • -1 = 8 is a counter example that shows the following conditional statement is false. Is Dustin correct? Exp
Allisa [31]

dustin is correct because 8*-1 is 8 beacse its diffent and u soppse to sub



5 0
3 years ago
A given line has the equation 10x + 2y = −2.
worty [1.4K]

The equation is \boxed{ \ y = - 5x + 12 \ or \ y = 12 - 5x} \ }

<h3>Further explanation </h3>

This case asking the end result in the form of a slope-intercept.

<u>Step-1: find out the gradient. </u>

10x + 2y = -2

We isolate the y variable on the left side. Subtract both sides by 10x, we get:

2y = - 10x - 2  

Divide both sides by two

y = -5x -1

The slope-intercept form is \boxed{ \ y = mx + c \ }, with the coefficient m as a gradient. Therefore, the gradient is m = -5.

If you want a shortcut to find a gradient from the standard form, implement this:  

\boxed{ \ ax + by = k \rightarrow m = - \frac{a}{b} \ }

10x + 2y = −2 ⇒ a = 10, b = 2

\boxed{m = - \frac{10}{2} \rightarrow m = -5}

<u>Step-2:</u> the conditions of the two parallel lines

The gradient of parallel lines is the same \boxed{ \ m_1 = m_2 \ }. So \boxed{m_1 = m_2 = -5}.

<u>Final step:</u> figure out the equation, in slope-intercept form, of the parallel line to the given line and passes through the point (0, 12)

We use the point-slope form.

\boxed{ \ \boxed{ \ y - y_1 = m(x - x_1)} \ }

Given that

  • m = -5
  • (x₁, y₁) = (0, 12)  

y - 12 = - 5(x - 0)

y - 12 = - 5x

After adding both sides by 12, the results is \boxed{ \ y = - 5x + 12 \ or \ y = 12 - 5x} \ }

<u>Alternative steps </u>

Substitutes m = -5 and (0, 12) to slope-intercept form \boxed{ \ y = mx + c \ }

12 = -5(0) + c

Constant c is 12 then arrange the slope-intercept form.

Similar results as above, i.e. \boxed{ \ y = - 5x + 12 \ or \ y = 12 - 5x} \ }

<u>Note: </u>

\boxed{Standard \ form: ax + by = c, with \ a > 0}

\boxed{Point-slope \ form: y - y_1 = m(x - x_1)}

\boxed{Slope-intercept \ form: y = mx + k}

<h3>Learn more </h3>
  1. A similar problem brainly.com/question/10704388
  2. Investigate the relationship between two lines brainly.com/question/3238013
  3. Write the line equation from the graph brainly.com/question/2564656

Keywords: given line, the equation, slope-intercept form, standard form, point-slope, gradien, parallel, perpendicular, passes, through the point, constant

7 0
3 years ago
Read 2 more answers
Which shapes have parallel sides
guajiro [1.7K]

Answer:

All parallelograms have at least 1 parallel side.(Rectangles,squares,rhombuses,etc.)Trapezoids also have parallel sides.

Step-by-step explanation:

3 0
3 years ago
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