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rosijanka [135]
3 years ago
6

A line, y = mx + b, passes through the point (1, 6) and is parallel to

Mathematics
1 answer:
koban [17]3 years ago
8 0

Answer: b=6

Step-by-step explanation:

6 is in the y intercept place so it equals 6

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Nora's paper airplane flew 9 1/6 feet. That was 2 3/4 feet farther than Max's plane flew. Write and solve an equation to show ho
stepan [7]

Answer:

Max's paper airplane flew \frac{77}{12} feet or 6\frac{5}{12} feet.

Step-by-step explanation:

As Nora's paper airplane flew 9 1/6 feet

i.e.

9\frac{1}{6}=\frac{55}{6}

Nora's paper was farther than Max's plane flew by = 2 3/4 feet

i.e.

2\frac{3}{4}=\frac{11}{4}

Thus the equation to show how far Max's paper airplane flew is:

\:\:9\frac{1}{6}-2\frac{3}{4}

=\frac{55}{6}-\frac{11}{4}

\mathrm{Least\:Common\:Multiplier\:of\:}6,\:4:\quad 12

\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}

=\frac{110}{12}-\frac{33}{12}

\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}

=\frac{110-33}{12}

\mathrm{Subtract\:the\:numbers:}\:110-33=77

=\frac{77}{12}

=6\frac{5}{12}

Therefore, Max's paper airplane flew \frac{77}{12} feet or 6\frac{5}{12} feet.

6 0
3 years ago
Using the midpoint method, calculate the price elasticity of demand of Good Z using the following information: When the price of
exis [7]

Answer: (B) The price elasticity of demand for good Z = 0.86

Step-by-step explanation:

The formula for determining elasticity of demand by using the midpoint method is

(Q2 - Q1)/[(Q2 + Q1)/2] / (P2 - P1)/[(P2 + P1)/2]

Where

P1 is the initial price of the item.

P2 is the final price of the item.

Q1 is the initial quantity demanded for the item.

Q2 is the final quantity demanded for the item.

From the information given,

P1 = 10

P2 = 15

Q1 = 85

Q2 = 60

The price elasticity of demand for good Z = (60 - 85)/[(60 + 85)/2] / (15 - 10)/[(15 + 10)/2]

= (-25/72.5) / (5/12.5) = -25/72.5 × 12.5/5

= - 312.5/362.5 = - 0.86

6 0
3 years ago
1.Mr. Redding sells vehicles to 40% of the people that come to the sales lot. If 165 people came to the lot last month, how many
Vanyuwa [196]
He would have sold 66 vehicles
6 0
3 years ago
Calculate the pay for the following day of a weekly time card given a wage $13/hr <br> HELP PLEASE
dlinn [17]

Answer:

$130

Step-by-step explanation:

The person gets $13 and hour and works for 10 hours 15 minutes. You round down to 10 hours and 10x13=130.

Hope this helps.

4 0
3 years ago
Please tell me where I went Wrong. I am Confused
aivan3 [116]
The final answer would be 39/19 it doesn't simplify any more and if it did the 19 would be reduced as well as the 39
6 0
3 years ago
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