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andrezito [222]

3 years ago

5

Katie’s race sponsor is playing $10 for every mile she walks and $100 for finishing an 8-mile race. Which strategy can be used t

o determine the total amount of money she raised if she completes the race?

2 answers:

denis23 [38]3 years ago

5 0

Answer:

180

Step-by-step explanation:

8 x 10 = 80

100 + 80 = 180

Shkiper50 [21]3 years ago

4 0

It would be x as in miles and then do 10x+100= 180

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Lorenzo Neal is a teacher assistant. He earns $15.50 per hour. He is allowed a flexible hours. Lorenzo was only able to work 32.

AleksandrR [38]

Answer:

15.50 x 32.25=499.875

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3 years ago

Which of the following is defined by a line parallel to one side of a triangle

Katarina [22]

Answer:

Triangle Proportionality Theorem is defined by a line parallel to one side of a triangle divides the other two sides proportionally.

Step-by-step explanation:

Triangular Proportionality Theorem states that:

If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally.

Let us consider the triangle ΔABC as shown in attached figure.

If

$DE$ ║ $AC$

then

$\frac{BD}{DA} = \frac{BE}{EC}$

Therefore, Triangle Proportionality Theorem is defined by a line parallel to one side of a triangle divides the other two sides proportionally.

Keywords: Triangle Proportionality Theorem, triangle, line segment

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3 years ago

Find the sum: 2 + 9 + 16 + ... + 37

iris [78.8K]

Step-by-step explanation:

Sum of arithmetic terms = n/2 × [2a + (n - 1)×d], where 'a' is the first term, 'd' is the common difference between two numbers, and 'n' is the number of terms.

this is the same as n/2 × (a1 + an), because

an = a1 + (n-1)×d

so, for the series above :

a or a1 = 2

d = 7, as every new term is the previous term plus 7.

for n

37 = a1 + (n-1)×d = 2 + (n-1)×7

and now solve for n

35 = 7n - 7

42 = 7n

n = 6

so, the sum of all terms is

6/2 × (2+37) = 3×39 = 117

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2 years ago

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ryzh [129]

Answer:

Step-by-step explanation:

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As x approaches +∞, the highest term, x⁵, approaches +∞.

As x approaches -∞, x⁵ approaches -∞ (a negative number raised to an odd exponent is also negative).

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f(x) = x³ (x – 4)²

f(x) has roots at x=0 and x=4. x=4 is a repeated root (because it's squared), so the graph touches the x-axis but does not cross at x=4.

The graph crosses the x-axis at x=0.

7 0

3 years ago

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An Amtrak train travels at 125 mile per hour. Convert the speed to miles per minute round to the nearest tenth

Tomtit [17]

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2 years ago

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