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3 years ago

Least common multiple of 6 and 42

Mathematics

2 answers:

Murrr4er [49]3 years ago

5 0

The least common multiple of 6 and 42 is 42 I believe

4vir4ik [10]3 years ago

4 0

7 is the leases common I’m pretty sure

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Mr. peters buys 3 1/4 pound of grapes for $4.55 what is the unit cost of the grapes

anastassius [24]

Divide 3 1/4 with 4.55

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2 years ago

xz_007 [3.2K]

Answer:

1) $n = 84$

2) $n = 78$

3) $n = 24$

4) $n = 16$

5) $n = 35$

Step-by-step explanation:

To solve each proportion, we apply cross multiplication.

Question 1:

$\frac{5}{12} = \frac{35}{n}$

$5n = 35*12$

Simplifying both sides by 5

$n = 7*12 = 84$

Question 2:

$\frac{n}{52} = \frac{180}{120}$

$120n = 52*180$

Simplifying both sides by 20

$6n = 52*9$

Simplifying by 3

$2n = 52*3$

Simplifying by 2

$n = 26*3 = 78$

Question 3:

$\frac{18}{n} = \frac{21}{28}$

$21n = 18*28$

Simplifying both sides by 7

$3n = 18*4$

Simplifying both sides by 3

$n = 6*4 = 24$

Question 4:

$\frac{n}{4} = \frac{24}{6}$

$\frac{n}{4} = 4$

$n = 16$

Question 5:

$\frac{10}{16} = \frac{n}{56}$

$16n = 56*10$

Simplifying by 2, both sides

$8n = 56*5$

Simplifying by 8, both sides

$n = 7*5 = 35$

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3 years ago

A square with side x is changing with time where x(t)=3t+1. What is rate of change of the area of the square when t=2 seconds.

GuDViN [60]

Answer:

Rate of change of the area of the square is 42 units at t = 2.

Step-by-step explanation:

We note that the area of the square is given by: $A(x) = x^2$ but we aim to find $\frac{dA}{dt}$ . But we can use the chain rule to pull out that dA/dt. Doing so gives us:

$\frac{dA}{dt} = \frac{dA}{dx} \times \frac{dx}{dt}.$

Now, $\frac{dA}{dx} = 2x$ (by the power rule and $\frac{dx}{dt} = 3.$

But since we have "x" and not "t", we want to find what x is when t = 2. Substituting t = 2 gives us x(2) = 3(2) + 1 = 7.

So, finally, we see that:

$\frac{dA}{dt} = 2(7) \times 3 = 14 \times 3 = 42.$

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3 years ago

The area of a billboard sign is represented by (x+12)^2 square feet. Find the product

QveST [7]

(x+12)^2=(x+12)(x+12) = x^2 +12x + 12x + 144
= x^2+24x+144

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2 years ago

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sertanlavr [38]

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2 years ago