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3 years ago

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Tracy needs to purchase 30 pastries for the teachers banquet. Bear claws cost $1.60 each and the apple turnovers cost 1.95 each.

If Tracy's budget is $50, find the maximum number of apple turnovers that Tracy can purchase.

1 answer:

jolli1 [7]3 years ago

3 0

Answer:

25.

Step-by-step explanation:

1.95 x 25 = 48.75

if u add 1 more it goes over 50

1.95 x 26 = 50.70

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The time needed to paint a fence varies directly with the length of the fence and inversely with the number of painters. If it t

astraxan [27]

Answer:

It will take 9 hours with 4 painters to paint 720 feet of fence.

Step-by-step explanation:

Given that,

The time needed to paint a fence varies directly with the length of the fence

$t\propto l$ .......(1)

and inversely with the number of painters

$t\propto \frac1P$ .....(2)

Combination of (1) and (2) is

$t\propto \frac lP$

where t represents time, $l$ represents length of fence, P represents number of painters.

Again we can write the above equation as

$\frac{t_1}{t_2}=\frac{\frac{l_1}{l_2}}{\frac{P_1}{P_2}}$

$\frac{t_1}{t_2}=\frac{l_1P_2}{l_2P_1}$

Given that,

It takes 7 hours with 2 painters to paint 280 feet of fence .

We need to find time to paint 720 feet of fence with 4 painters.

$t_1$ =7 hours, $l_1$ =280 feet, $P_1$ =2,

$t_2$ =? , $l_2$ = 720 feet, $P_2$ =4

$\therefore \frac{7}{t_2}=\frac{280\times 4}{720\times 2}$

$\Rightarrow \frac{t_2}{7}=\frac{720\times 2}{280\times 4}$

$\Rightarrow {t_2}}=\frac{720\times 2\times 7}{280\times 4}$

$\Rightarrow t_2=9$

It will take 9 hours to paint 720 feet of fence with 4 painters.

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3 years ago

What is 37.621 divided by 6.3

NISA [10]

37.621 divided by 6.3 would be <span>5.97158730159. To shorten that up, if you are allowed to round, it would be 6.</span>

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4 years ago

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The scores on a test are normally distributed with a mean of 30 and a standard deviation of 6. Find the score that is one dash h

Mashcka [7]

Answer:

Step-by-step explanation:

If it is asking for 1.5 standard deviations above the mean, it is 30 +1.5(6)=39

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3 years ago

What is the expression in factored form?x^2+13x+14

nydimaria [60]

Answer:

$\left(x-\dfrac{-13+\sqrt{113}}{2}\right)\left(x-\dfrac{-13-\sqrt{113}}{2}\right).$

Step-by-step explanation:

To factor the expression $x^2+13x+14$ you need to know its roots.

First find the discriminant of this quadratic polynomial:

$D=13^2-4\cdot 1\cdot 14=169-56=113.$

Then the roots of the expression $x^2+13x+14$ are

$x_{1,2}=\dfrac{-13\pm \sqrt{113}}{2}.$

Now the factored form is

$\left(x-\dfrac{-13+\sqrt{113}}{2}\right)\left(x-\dfrac{-13-\sqrt{113}}{2}\right).$

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Apply division algorithm to find the quotient and remainder on dividing the polynomial 3 x^ + 4 x^ square + 6 x + 9 by x^ + 3x +

Ulleksa [173]

I suppose you mean

$\dfrac{3x^3+4x^2+6x+9}{x^2+3x+7}$

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$44$ has no remaining factors of $x^2$ in it, so we're done, and

$\dfrac{3x^3+4x^2+6x+9}{x^2+3x+7}=\underbrace{3x-5}_{\rm quotient}+\dfrac{\overbrace{44}^{\rm remainder}}{x^2+3x+7}$

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4 years ago