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3 years ago

5

in the balcony of a theatre there are 420 seats. the number of seats in each row is 14 more than the number of rows. find the nu

mber of rows

1 answer:

ki77a [65]3 years ago

7 0

420 divided by 14 = 30

There are 30 rows

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The pizza stand gives patrons a free pizza when they collect 8 coupons how many free pizzas can Mrs.Fowler get if she has 78 cou

Anna35 [415]

Answer:

Mrs. Fowler will get $9$ free pizza. And she needs two more coupon for the next pizza.

Step-by-step explanation:

Given that pizza stand gives a free pizza for every $8$ coupons.

And Mrs. Fowler has $78$ coupons.

Part (a)

How many free pizzas can Mrs. Fowler get if she has $78$ coupons?

We will divide total number of coupons $78$ by $8$ coupons.

$\frac{78}{8}=9\frac{6}{8}$

When we divide we get quotient as $9$ , with a remainder of $6$ . So, Mrs. Fowler will get $9$ free pizza.

Now, part (b)

If Mrs. Fowler adds two more coupons that will turn remainder $6$ into $6+2=8$ .

So, she can have next pizza.

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3 years ago

Anyone want to help me? <br><br> 20 points!

gulaghasi [49]

Answer:

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<u>-8</u><u><</u><u>-4</u>

Step-by-step explanation:

You might want to put less points

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3 years ago

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Determine a relationship between the x- and y- values. write an equation.

Roman55 [17]

The relationship here between the x and y values can be seen in an equation, y=x+3, since every y value is three more than its corresponding x-value. <span />

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3 years ago

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Spiral Review Hayden is attending a craft show. The cost of an admission ticket is $8. The cost of a raffle ticket for a handmad

LekaFEV [45]

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7

Step-by-step explanation:

$45- $8 = 37 (aka his raffle ticket spending money)

37÷5= 7, so the max # of raffle tickets he can buy is 7.

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3 years ago

A study of the relationship between age and various visual functions (such as acuity and depth perception) reported the followin

maks197457 [2]

Answer:

(a) $\sum x_i=56.68$ and $\sum x_i^2=197.46$

(b) The sample variance is $s^2=0.530$ and the sample standard deviation is $s=0.728$

Step-by-step explanation:

(a)

The sum of these 17 sample observations is

$\sum x_i=2.79\:+2.57+\:2.73\:+3.75\:+2.27+\:2.75+\:4.00+\:4.22+\:3.88+\:4.35+\:3.41+\:4.57+\:2.38+\:3.73\:+2.75+\:3.47+\:3.06\\\\\sum x_i=56.68$

and the sum of their squares is

$\sum x_i^2=2.79^2\:+2.57^2+\:2.73^2\:+3.75^2\:+2.27^2+\:2.75^2+\:4.00^2+\:4.22^2+\:3.88^2+\:4.35^2+\:3.41^2+\:4.57^2+\:2.38^2+\:3.73^2\:+2.75^2+\:3.47^2+\:3.06^2\\\\\sum x_i^2=197.46$

(b)

The sample variance, denoted by $s^2$ , is given by

$s^2=\frac{S_{xx}}{n-1}$

where $S_{xx} =\sum x_i^2-\frac{(\sum x_i)^2}{n}$

Applying the above formula we get that

$S_{xx}=197.46-\frac{(56.68)^2}{17}\\\\S_{xx} =8.482$

$s^2=\frac{8.482}{17-1}=0.530$

The sample standard deviation, denoted by <em>s</em>, is the (positive) square root of the variance:

$s=\sqrt{s^2}$

Applying the above formula we get that

$s=\sqrt{0.530}=0.728$

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3 years ago