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3 years ago

A grasshopper covered a distance of 5 yards in 9 equal hops.How many yards did the grasshopper travel on each hop?

Mathematics

2 answers:

Luda [366]3 years ago

5 0

5/9 = .55555555555 yards traveled per hop
15/9 = 1.6666667 feet per hop

Mashcka [7]3 years ago

4 0

For this case we can make the following rule of three:

5 yards ---------> 9 hops

x -------------------> 1 hop

From here, we must clear the value of x.

We have then:

$x = \frac {5} {9}\\x = 0.56 \frac {yards} {hop}$

Answer:

the grasshopper 0.56 yards travel on each hop

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2(a³+b²+11)+1(3+a³+b+11)

Ann [662]

Answer:

$2(a^3+b^2+11)+1(3+a^3+b+11)=3a^3+2b^2+b+36$

Step-by-step explanation:

I assume that you need simplification of the given expression.

The given expression is:

$2(a^3+b^2+11)+1(3+a^3+b+11)$

Using distributive property and multiplying 2 inside the parenthesis and 1 inside the other parenthesis. This gives,

$2(a^3+b^2+11)=2\times a^3+2\times b^2+2\times 11\\2(a^3+b^2+11)=2a^3+2b^2+22\\\\1(3+a^3+b+11)=1\times 3+1\times a^3+1\times b+1\times 11\\1(3+a^3+b+11)=3+a^3+b+11=a^3+b+14$

Therefore, $2(a^3+b^2+11)+1(3+a^3+b+11)$ is equal to:

$2a^3+2b^2+22+a^3+b+14$

Now, combining like terms using the commutative property of addition, we get:

$=(2a^3+a^3)+2b^2+b+(22+14)\\=3a^3+2b^2+b+36$

Therefore, the simplified form is $3a^3+2b^2+b+36$

8 0

3 years ago

I would like some help. THanks.

ikadub [295]

Answer:

8.5

Step-by-step explanation:

Volume= base*height

V= 2 1/8*4

V= 8.5

7 0

3 years ago

Kathy organised a wedding , guests had to choose their meal from pasta , chicken or beef 1/3 chose pasta 5/12 chose chicken and

Ilia_Sergeevich [38]

so together the amount of people who chose beef should be 4/12 since you must find the greatest commen factor. Then you should add 4/12 and 24 im thinking and you would get 24.3333 but if your looking for a mix number it would be 24 3333/1000

hope this helps!

7 0

3 years ago

How do i solve (4+6i)+(8-10i)?

ELEN [110]

Answer:

12- 4i

Step-by-step explanation:

(4+6i)+(8-10i)

4+6i+8-10i

4+8+6i-10i

12-4i

6 0

3 years ago

College Calculus - hyperbolic functions (see attachment)

morpeh [17]

Answer:

g(x) = sinh^-1 ( ln(7x^6 +3) / sqrt( 8+cot( x^( 3+x))))

Step-by-step explanation:

Using the fundamental theorem of calculus

Taking the derivative of the integral gives back the function

Since the lower limit is a constant when we take the derivative it is zero

d/dx $\int\limits^x_4 {g(t)} \, dt = g(x)$

g(t) = sinh^-1 ( ln(7t^6 +3) / sqrt( 8+cot( t^( 3+t))))

Replacing t with x

g(x) = sinh^-1 ( ln(7x^6 +3) / sqrt( 8+cot( x^( 3+x))))

6 0

3 years ago

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