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Leto [7]
3 years ago
9

Four consecutive odd integers add up to 288. which integers are they?

Mathematics
1 answer:
murzikaleks [220]3 years ago
5 0
Let the smallest integer be x
x + (x+2) + (x+4) + (x+6) = 288
4x +12 =288
4x= 276
x = 69
The integers are 69, 71, 73 and 75
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today the engel family went to the zoo. Admissions for each person is $50. The parking feeis $16. How many people in the engel f
OverLord2011 [107]

Answer:

The total people in the Engel family who went to the zoo is 6.

Step-by-step explanation:

The admission for each person =$50

Parking fee = $16

Let us assume the total member who go to zoo = m

So, Total ticket price for m people = m x (Price of each ticket)

= m x ($500= 50 m

Total money spent by the family =  $ 316

⇒  Parking Fee + Money spent on m tickets  = Total money = $316

⇒ 16 + 50 m = 316

or, 50 m = 316 - 16  = 300

⇒ m = 300 / 50 = 6

or, m = 6

Hence the total people in the engel family  who went to  zoo is 6.

8 0
3 years ago
An equilateral triangle has a perimeter of 15x + 3. What is the length of each side of the triangle?
maw [93]

An equilateral triangle have 3 congruent sides.

Divide the total (15x +3) by 3

(15x + 3)/3 = 5x + 1

Each side's length is 5x + 1

hope this helps

6 0
3 years ago
Elena finds that the area of a house on a scale drawing is 25 square inches the actual area of the house is 2025 ft what is the
ElenaW [278]

Answer:

81 is the scale of drawing.

Step-by-step explanation:

Area of the house in drawing = A =

Let the factor by which scaling is present in the drawing be s.

Area of the house in reality = A' =

8 0
2 years ago
1. Solve 4x + 5 > 5x – 2 for x.
Zigmanuir [339]
The answer should be X < 3 !

Explanation:

You first minus 5 to the other side which gave you -3 . Then you minus the 5x to the other side which gave you -1. After than just need to divide -1 to both side, switch the > and you’ll get the answer! Hope the explanation makes sense.
7 0
2 years ago
Read 2 more answers
Solve the equation cos (x/2) = cos x + 1. what are the solutions on the interval 0° ≤ x &lt; 360°?
Sedbober [7]

Answer:

Step-by-step explanation:

cos (x/2)=cos x+1

cos (x/2)=2cos ²(x/2)

2 cos²(x/2)-cos (x/2)=0

cos (x/2)[2 cos (x/2)-1]=0

cos (x/2)=0=cos π/2,cos (3π/2)=cos (2nπ+π/2),cos(2nπ+3π/2)

x/2=2nπ+π/2,2nπ+3π/2

x=4nπ+π,4nπ+3π

n=0,1,2,...

x=π,3π

or x=180°,540°,...

180°∈[0,360]

so x=180°

or

2cos(x/2)-1=0

cos (x/2)=1/2=cos60,cos (360-60)=cos 60,cos 300=cos (360n+60),cos (360n+300)

x/2=360n+60,360n+300

x=720n+120,720n+300

n=0,1,2,...

x=120,300,840,1020,...

only 120° and 300° ∈[0,360°]

Hence x=120°,180°,300°

7 0
2 years ago
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