What does it mean to be a 'solution' to a function?

A horse takes 3 steps to walk the same distance for which a goat takes 4 steps. Suppose 1 step of the dog covers 1/2 of a metre.

almond37 [142]

Answer:

The goat would cover 9 meters in taking 24 steps.

Step-by-step explanation:

There is a mistake in the question so the correct question is below:

A horse takes 3 steps to walk the same distance for which a goat takes 4 steps. Suppose 1 step of the horse covers 1/2 of a metre. How many metres would the goat cover in taking 24 steps?

Now, to find the meters goat cover in taking 24 steps.

As 1 step of horse covers = $\frac{1}{2} \ meter.$

So, 3 step of horse covers = $\frac{1}{2} \times 3$ $=\frac{3}{2} =1.5\ meters.$

Thus, 3 steps of horse covers = 1.5 meters.

As given, the horse takes 3 steps to walk the same distance for which a goat takes 4 steps.

So, the distance covers by goat in 4 steps = 1.5 meters.

Now, to get the meters goat cover in taking 24 steps by using unitary method:

If, the distance cover by the goat in 4 steps = 1.5 meters

So, the distance cover by the goat in 1 step = $\frac{1.5}{4}$

Thus, the distance cover by the goat in 24 steps = $\frac{1.5}{4}\times 24$

= $\frac{36}{3}$

= $9\ meters.$

Therefore, the goat would cover 9 meters in taking 24 steps.

8 0

3 years ago

A computer chip has dimensions of 8mm x 8mm. the scale drawing shows 4cm by 4cm. the answer is 1cm represents 2mm but I don't kn

Andru [333]

$Change\ all\ dimensions\ to\ the\ same\ unit. \\ \\ \\ \\ 4cm==\textgreater\ 400\ mm$ $Work\ out\ the\ Scale\ factor, \\ \\ \\ \\ Scale\ factor= { \frac{Scaled\ dimension\ (same\ side)}{Actual\ dimension\ (same\ side)} } \\ \\ = { \frac{400}{8} } \\ \\ = 50$
$1\ mm\ on\ actual= 50\ mm\ on\ scaled. \\ \\ 2\ mm\ represents\ 1\ cm\ on\ scaled.$

6 0

3 years ago

Given y = a(x - h)^2 + k, p = A. a B. 4a C. 1/4a

Flauer [41]

9514 1404 393

Answer:

C. 1/(4a)

Step-by-step explanation:

We assume you're comparing the vertex form ...

y = a(x -h)^2 +k

to the form used to write the equation in terms of the focal distance p.

y = 1/(4p)(x -h)^2 +k

That comparison tells you ...

a = 1/(4p)

p = 1/(4a) . . . . . . multiply by p/a; matches choice C

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Additional comment

When using plain text to write a rational expression, parentheses are needed around any denominator that has is more than a single constant or variable. The order of operations requires 1/4a to be interpreted as (1/4)a. The value of p is 1/(4a).

When rational expressions are typeset, the fraction bar serves as a grouping symbol identifying the entire denominator:

$p=\dfrac{1}{4a}$

8 0

3 years ago

Put these numbers in order from greatest to least. -32/40 14/35 -1

olga nikolaevna [1]

Answer: 14/35, -32\40, -1

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A zookeeper weighed an African elephant to be 9x10^3 pounds and an African lion to be 4x10^2 pounds. How many times greater is t

maria [59]

Answer: 22.5 . The weight of the elephant is "22.5 times greater" than the weight of the lion.
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Explanation:
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(weight of lion) * (x) = (eight of the elephant) ; Solve for "x" .
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→ Divide each side of the equation by "(weight of lion)" ;
to isolate "x" on one side of the equation ; and to solve for "x" ;
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→ (weight of lion)*(x) / (weight of lion) = (weight of the elephant) /
(weight of lion) ;
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→ x = (weight of the elephant) / (weight of lion) ;
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→ Plug in our "given values" ; and solve for "x" ;
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→ x = (9*10³) / (4*10²) = (9*10⁽³⁻²⁾) / 4 = (9*10¹) / 4 ;
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→ x = 90 /4 = 25/2 = 22.5 ; which is our answer.
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4 0

3 years ago