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Sphinxa [80]
3 years ago
5

He was just up with me the sum of three consecutive numbers is 41 less than five times the largest number find the largest numbe

r
Mathematics
1 answer:
Schach [20]3 years ago
8 0

Answer:

x + (x + 1) + (x + 2) = 5 (x + 2) - 41

3x + 3 = 5x + 10 - 41

3x + 3 = 5x - 31

34 = 2x

17 = x

The three integers are 17, 18, and 19 <---

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Mike traveled to Greensboro by car. Going there took 6 hours, and the return trip was four hours. Mike averaged a speed of 81 mi
Marat540 [252]

Answer: 64.8 mph

Step-by-step explanation:

Given

Arriving time is 6 hours

return time is 4 hours

The average speed of returning 81 mph

Distance traveled while returning

\Rightarrow d=81\times 4=324\ miles

the average speed of the entire trip is

\Rightarrow v_{avg}=\dfrac{2\times 324}{6+4}=\dfrac{648}{10}=64.8\ mph

4 0
2 years ago
logan trades 50 pennies for nickels he gets a nickel for each group of 5 pennies what equation can be used to find how many nick
V125BC [204]

The  equation  that can be used to find how many nickels logan uses is: 50÷5.

<h3>Equation to find the number of nickels</h3>

Given:

Total pennies=50

Logan got a nickel of 5 pennies=1

Hence:

Number of nickels=1÷5×50

Number of nickels=50÷5

Number of nickels=10 nickels

Therefore the  equation  that can be used to find how many nickels logan uses is: 50÷5.

Learn more about Equation to find the number of nickels here:brainly.com/question/10704332

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4 0
2 years ago
Differentiate the function. f(x) = ln(25 sin^2(x))
tigry1 [53]
Use the chain rule.
Let u = 25sin²(x), such that dy/dx = dy/du · du/dx

\frac{dy}{dx} = \frac{1}{25sin^{2}(x)} \cdot 50cos(x) \cdot sin(x)
\frac{dy}{dx} = \frac{2cos(x) sin(x)}{sin^{2}(x)}

\frac{dy}{dx} = 2cot(x)
8 0
3 years ago
Mary is preparing for her birthday party , and she needs to give sweets to all her 10 friends who are invited . To do this , she
hram777 [196]

Answer:

Since each bag has 9strawberries and lemon she gives out 10 strawberries and lemon so she remains with 9 and a quarter bags .

Step-by-step explanation:

Remember each bag contains 9 so she has to pick either one strawberry or a lemon so in the 9th bag she remains with 8 candies.

8 0
2 years ago
Among 9 electrical components exactly one is known not to function properly. if 4 components are randomly selected, find the pro
seraphim [82]

Answer:

0.4444

Step-by-step explanation:

Use the following property to ease the calculation:

P(At least one)=1-P(None)

Total number of electrical components: 9

Number that does not function well :1

Number that functions well : 8

We have ^8C_4=70 ways to to choose 4 good components from 8.

We have ^9C_4=126 ways to choose 4 components from a total of 9.

If all function properly then none is bad, we ^1C_0=1 way to do this.

P(At least one)=1-\frac{^8C_4*^1C_0}{^9C_4}

P(At least one)=1-\frac{70*1}{126}

P(At least one)=0.4444

4 0
2 years ago
Read 2 more answers
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