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anygoal [31]
3 years ago
11

The sum of two consecutive whole numbers is 57. What is the value of the greater of the two numbers

Mathematics
1 answer:
KIM [24]3 years ago
5 0

n,\ n+1-\text{ two consecutive whole numbers}\\57-\text{the sum}\\\\n+n+1=57\qquad\text{subtract 1 from both sides}\\2n=56\qquad\text{divide both sides by 2}\\n=28\\\\n+1=28+1=29\\\\Answer:\ \boxed{\text{The greater of the two numbers is 29}}

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On top of a hill, a rocket is launched from a distance 80 feet above a lake. The rocket will fall into the lake after its engine
Free_Kalibri [48]
The maximum height is 144 feet.

The maximum height is the y-coordinate of the vertex.  To find the vertex, we first use x = -b/2a.  For our information, that is x=-64/2(-16) = -64/-32 = 2.

Now we substitute this into the equation:
y = -16(2²) + 64(2) + 80 = -64 + 128 + 80 = 144
3 0
3 years ago
PLEASE HELP !!! Will give brainest !!!!!​
Margarita [4]

Answer:

9.6

2.4.

Step-by-step explanation:

It is easy. If you do with calculator it's easy.

8 0
2 years ago
Read 2 more answers
Please answer both questions and show all work.
sammy [17]
(1) 6 1/3 = 76/12
2 3/4 =  33/12
___________+
109/12
divide and get 9 1/12
-----------------------------------
(2)3 1/2 = 43/12
5 1/2 = 66/12
*from first answer* 109/12
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Hope this helps you!
3 0
3 years ago
Mrs.mayfields class sold a total of 7293 lollipops for 2.00 each they bought the lollipops for 1.00 each. how much profit did th
Akimi4 [234]
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6 0
3 years ago
Where will her cut be located? Round to the nearest tenth. x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1 A
Arte-miy333 [17]

Answer:

The correct answer is 25.2 in.

Step-by-step explanation:

It is given that number line goes from 0 to 60 which can be used to represent a ribbon of length = 60 inches.

2 inches of the ribbon are frayed so actual length = 58 inches

Please refer to the attached image for the ribbon.

A is at 0

C is at 60

B is at 2

P is the point to divide the remaining ribbon in the ratio 2:3.

Part AB of the ribbon is frayed.

BP: PC = 2:3

Let BP = 2x and PC = 3x

Now, BP + PC = BC = 58 = 2x + 3x = 5x

So,

5x =58\\\Rightarrow x =11.6

BP = 2\times x = 2 \times 11.6 = 23.2\ inches

Location of the Cut = 2 + 23.2 = <em>25.2 inches</em>

<em></em>

Alternatively, we can use the formula directly:

x = \dfrac{m} {m + n } (x_2 - x_1) + x_1

x_1 = 2\\x_2 = 60

m: n is the ratio 2:3

x = \dfrac{2} {2 +3 } (60- 2) + 2\\\Rightarrow 0.4 (58 )+2\\\Rightarrow 23.2+2 \\\Rightarrow \bold{25.2\ inches}

5 0
3 years ago
Read 2 more answers
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