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3 years ago

11

The sum of p consecutive integers is 4. What is p?

1 answer:

klasskru [66]3 years ago

3 0

I'd say there are two possibilities: the trivial choice of p=1 and starting number 4 (so you're summing one consecutive integer starting from 4), or you choose p = 8 and start from -3, so that all numbers from -3 to 3 simplify and you're left with 4 alone:

$-3+(-2)+(-1)+0+1+2+3+4 = 4$

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bogdanovich [222]

28 2/3 + 25 = 32 1/3

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3 years ago

Answer the following questions: 2/3 is what percent of 1/4?

Zolol [24]

Answer:

1/2 or 0.5

Step-by-step explanation:

To find out what 2/3 is out of 3/4, we just have to multiply them together to get our exact answer.

$\frac{2}{3} *\frac{3}{4}=\frac{6}{12}=\frac{1}{2}$

Our final answer is 1/2 or 0.5.

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3 years ago

Read 2 more answers

PLEASE ANSWER WITH AN EXPLANATION! THANK YOU

lubasha [3.4K]

Answer:

$\large\boxed{A=153\ cm^2}$

Step-by-step explanation:

<em>Look at the picture.</em>

We have

square with side length a = 9

trapezoid with base lengths b₁ = 9 and b₂ = 6 and the height length h = 6

right triangle with legs lengths l₁ = 3 + 6 = 9 and l₂ = 6

The formula of an area of a square

$A=a^2$

Substitute:

$A_I=9^2=81\ cm^2$

The formula of an area of a trapezoid:

$A=\dfrac{b_1+b_2}{2}\cdot h$

Substitute:

$A_{II}=\dfrac{9+6}{2}\cdot6=\dfrac{15}{2\!\!\!\!\diagup_1}\cdot6\!\!\!\!\diagup^3=(15)(3)=45\ cm^2$

The formula of an area of a right triangle:

$A=\dfrac{l_1l_2}{2}$

Substitute:

$A_{III}=\dfrac{(9)(6)}{2}=\dfrac{54}{2}=27\ cm^2$

The area of the shape:

$A=A_I+A_{II}+A_{III}\\\\A=81+45+27=153\ cm^2$

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3 years ago

G(t)=(t+1) ^2-20.25 what are the zeros of the function

Vinil7 [7]

Step-by-step explanation:

g(t) = (t + 1)² − 20.25

0 = (t + 1)² − 20.25

20.25 = (t + 1)²

±4.5 = t + 1

t = -1 ± 4.5

t = -5.5 or 3.5

The zeros are (-5.5, 0) and (3.5, 0).

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