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kotykmax [81]
3 years ago
6

Teague is participating in a 50K run to raise money for a charity. He has already raised $102 and will receive $1.40 for each ki

lometer he travels. If he wants to raise a minimum of $165, how many kilometers does he need to run?
Equation: _________

Define Variable: _________

Solve Equation: _________

Final Answer: _________
Mathematics
1 answer:
astra-53 [7]3 years ago
7 0

Answer:

Step-by-step explanation:

Equation : 165 = 102 + 1.4K

Define: K is # of kilometers

Solve: 63 = 1.4k, so k = 45

Final answer: 45 kilometers

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TEA [102]
251 is the smallest whole number

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What is the slope of the line?
Leya [2.2K]

Answer:

The slope of the line is -3

Step-by-step explanation:

I chose the points (-2,3) and (0,-3)

The slope formula: m=\frac{y_2-y_1}{x_2-x_1}

\frac{-3-3}{0-(-2)} ==> \frac{-3-3}{0+2} ==> \frac{-6}{2} = -3

Our final answer is -3.

Hope that helps!

5 0
3 years ago
Whats 24/6- 4/2 whats the answer dawg
aleksandrvk [35]

Answer:

2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
10. There are nine golf balls numbered from 1 to 9 in a bag. Three balls are randomly selected without replacement to form a 3-d
lbvjy [14]

Answer:

a) 504

b) 56

c) 0.111

Step-by-step explanation:

Data provided in the question:

There are nine golf balls numbered from 1 to 9 in a bag

Three balls are randomly selected without replacement

a) 3-digit numbers that can be formed

= ^nP_r

n = 9

r = 3

= ⁹P₃

= \frac{9!}{9!-3!}

= 9 × 8 × 7

= 504

b)  3-digit numbers start with the digit 1

=  _ _ _

in the above 3 blanks first digit is fixed i.e 1

we and we have 8 choices left for the last 2 digits

Thus,

n = 8

r = 2

Therefore,

= 1 × ⁸P₂

= 1 × \frac{8!}{8!-2!}

= 1 × 8 × 7

= 56

c) Probability that the 3-digit number formed is less than 200

Now,

The number of 3-digit number formed is less than 200 will be the 3-digit numbers start with the digit 1 i.e part b)

and total 3-digit numbers that can be formed is part a)

therefore,

Probability that the 3-digit number formed is less than 200

= 56 ÷ 504

= 0.111

5 0
3 years ago
Rewrite in polar form: x^2+y^2-2y=7
Alchen [17]
X²+y²-2y=7
using the formula that links Cartesian to Polar coordinates
x=rcosθ and y=r sin θ
substituting into our expression we get:
(r cos θ)²+(r sin θ)²-2rsinθ=7
expanding the brackets we obtain:
r²cos²θ+r²sin²θ=7+2rsinθ
r²(cos²θ+sin²θ)=7+2rsinθ
using trigonometric identity:
cos²θ+sin²θ=1
thus
r²=2rsinθ+7
Answer: r²=2rsinθ+7
8 0
3 years ago
Read 2 more answers
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