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3 years ago

In a race, 27 out of the 50 bicyclists finished in less than 47 minutes. What percent of bicyclists

Mathematics

1 answer:

Maslowich3 years ago

5 0

Answer:

finished the race in less than 47 minutes? Write an equivalent fraction to find the percent.

27 x

50 X

100

=D1%

Step-by-step explanation:

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Marisa wants to buy a quality phone for least $200.She has already saved $125 and plans to save an additional $10 each week.Writ

eduard

Answer:

The inequality can be represented as:

$10w+125\geq200$

where $w$ represents the number of weeks in which Maria will be able to buy a phone for least $200.

On solving it we get : $w\geq 7.5$

Step-by-step explanation:

Given:

Maria wants to buy a phone for at least $200.

She has savings of $125.

She plans to save $10 every week.

To write an inequality for the situation.

Solution:

Let the number of weeks in which Maria will be able to buy a phone be = $w$

If she saves $10 each week.

Then, in $w$ weeks she will save in dollars = $10w$

She already has savings = $125

So her total savings in $w$ weeks in dollars will be = $10w+125$

She wants to buy a phone for at least $200.

Thus, the inequality can be represented as:

$10w+125\geq200$

Solving for $w$

Subtracting both sides by 125.

$10w+125-125\geq 200-125$

$10w\geq 75$

Dividing both sides by 10.

$\frac{10w}{10}\geq \frac{75}{10}$

$w\geq 7.5$

Thus Maria needs at least 7.5 weeks to be able to buy a phone for atleast $200.

5 0

3 years ago

Simplify the expression (x^3- 5x^2 + 7x - 12) ÷ (x – 4) using long division

Kisachek [45]

Answer:

${x}^{2} - x + 3$

Step-by-step explanation:

Instead, since the divisor is in the form of $x - c$ , use what is called Synthetic Division. Remember, in this formula, $-c$ gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

4| 1 −5 7 −12

↓ 4 −4 12

_______________

1 −1 3 0 → ${x}^{2} - x + 3$

You start by placing the $c$ in the top left corner, then list all the coefficients of your dividend [x³ - 5x² + 7x - 12]. You bring down the original term closest to $c$ then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an ${x}^{2}$ , the −1 [ $x$ ] follows right behind it, and bringing up the rear, comes the 3, giving you the quotient of ${x}^{2} - x + 3$ .