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3 years ago

Lorinda can walk 1.8 miles in 30 minutes. Which proportion can be used to find how many miles she can walk in 45 minutes?

Mathematics

2 answers:

KonstantinChe [14]3 years ago

8 0

Maybe this is the answer 1.8/30 = x/45

ExtremeBDS [4]3 years ago

4 0

Answer:

2.7 miles = x

Step-by-step explanation:

Given : Lorinda can walk 1.8 miles in 30 minutes.

To find : Which proportion can be used to find how many miles she can walk in 45 minutes.

Solution : We have given Lorinda can walk 1.8 miles in 30 minutes.

Let Lorinda can walk in 45 mintute = x.

$\frac{1.8}{30}$ = $\frac{x}{45}$ .

This is the direct Proportion.

0.06 *45 = x

2.7 miles = x

Therefore, 2.7 miles = x

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Mama L [17]

Answer: We can plot the graph with help of below explanation.

Step-by-step explanation:

Since, given equation of polynomial,

$P(x) = x^4 - 3x^3 - 8x^2 + 12x + 16$

End behavior : Since, the leading coefficient of the polynomial is positive and even.

Therefore, the end behavior of the polynomial is,

$f(x)\rightarrow -\infty$ as $x\rightarrow -\infty$

And, $f(x)\rightarrow +\infty$ as $x\rightarrow +\infty$

Points of the curve : since, P(4) = 0

Therefore, (x-4) is the multiple of P(x),

And we can write, $x^4 - 3x^3 - 8x^2 + 12x + 16= (x-4)(x^3+x^2-4x-4)$

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$x^4 - 3x^3 - 8x^2 + 12x + 16= (x-4)(x+1)(x+2)(x-2)$

Thus, the roots of equation are 4, 2, -1 and -2.

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4 0

3 years ago

The square of a number plus three times the number is 70. find the numbers.

Harrizon [31]

Answer:

Step-by-step explanation:

The equation for that is

$x^2+3x=70$

If we subtract over the 70, we have a quadratic that we can factor to solve for the values of x that will make that equation true.

$x^2+3x-70=0$

Now we need the factors of 70 that will either add or subtract to give us the linear term of 3. The factors of 70 that will work are 10 and 7. 10 times 7 is 70, and 10 - 7 = 3:

$x^2+10x-7x-70=0$ and now we will factor by grouping:

$(x^2+10x)-(7x-70)=0$ and factor out what's common:

$x(x+10)-7(x+10)=0$

The factor (x + 10) is common, so we will now factor that out:

$(x+10)(x-7)=0$

By the Zero Product Property, either x + 10 = 0 or x - 7 = 0, so x = -10 or 7

Those are the 2 numbers that will work.

$(-10)^2+3(-10)=70$ simplifies to

100 - 30 which does in fact equal 70. OR

$(7)^2+3(7)=70$ which simplifies to

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So you're done!

3 0

3 years ago

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STatiana [176]

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3 years ago

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