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vazorg [7]
3 years ago
9

Find three consecutive odd integers such that the sum of the 1st and 2nd number is 344

Mathematics
1 answer:
olga2289 [7]3 years ago
8 0

Answer:

three consecutive odd integers are.

171, 173, 175

Step-by-step explanation:

Let x be the first term of odd integer,

Therefore, the second consecutive odd integers = x+2

Similarly, the third consecutive odd integers = x+4

Given:

The sum of the first term and second term is 344.

first term + second term = 344

Here first term is x and second term is x+2.

x+(x+2)=344

2x+2=344

2x=344-2

x=\frac{342}{2}

x=171

Therefore, the first odd integers is 171.

And the second consecutive odd integers = x+2=171+2=173

Similarly, the third consecutive odd integers = x+4=171+4=175

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A group of friends wants to go to the amusement park. They have no more than $320 to spend on parking and admission. Parking is
Hunter-Best [27]

A group of friends wants to go to the amusement park. They have no more than $320 to spend on parking and admission. Parking is $9.25, and tickets cost $28.25 per person, including tax. Write and solve an inequality which can be used to determine p, the number of people who can go to the amusement park.​

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Please, give me some minutes to take over your question

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They have no more than $320 to spend on parking and admission

320 ≥ 9.25 + 28.25*p

9.25 + 28.25*p ≤ 320

320- 9.25 ≥ 28.25*p

310.75/28.25 ≥ p

p ≤ 11

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Answer

The number of people who can go to the amusement park can be a maximum of 11 people (less than or equal to 11).

8 0
1 year ago
Find the dimensions of a rectangle with area 343 m2 whose perimeter is as small as possible.
raketka [301]
I hope this helps you



Area=length.width



343=l.w


7.7.7=l.w


l=49


w=7


Perimeter=2 (49+7)


Perimeter=2.56


Perimeter=112
3 0
3 years ago
Help me with my work plz.
nordsb [41]

Answer:

(√366 - 3)/24

Step-by-step explanation:

Given the following:

cos∝ = √3/8 and sinβ = √3/3

Sin(∝-β) = sin∝cosβ - cos∝sinβ

Get sin∝

Since cos∝ = √3/8

adj = √3

hyp = 8

opp = √8² - (√3)²

opp = √64 - 3

opp = √61

Recall that sin∝ = opp/hyp  

sin∝ = √61/8

Get cosβ

Since sinβ =  √3/3

opp = √3

hyp = 3

adj =√3² - (√3)²

adj = √9-3

adj = √6

Recall that cosβ = adj/hyp

cosβ = √6/3

Substitute the gotten values into the formula

Sin(∝-β) = sin∝cosβ - cos∝sinβ

Sin(∝-β) = ( √61/8)(√6/3)- (√3/8)(√3/3)

Sin(∝-β) = √366/24 - √9/24

Sin(∝-β) = (√366 - 3)/24

6 0
2 years ago
Need Help. Will give brainiest for correct answer with reason/work.
Alexxandr [17]

Answer: y=1/x is the blue line and it goes straight up and down the y and x axis.

y=x^2 is the green line which is a thin "u" like shape. its going up the y axis.

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Step-by-step explanation: I went to desmos calculator and typed in your equation and it automatically gave me this graph. (See Picture for more details.)

6 0
3 years ago
A=bh;A=5,h=5<br> HELP ME
harkovskaia [24]

Answer:

b = 1

Step-by-step explanation:

5 = 5b

b = 1

5 0
1 year ago
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