PLEASE HELP ME!!!!!!!!!!!

Your school wants to take out an ad in the paper congratulating the basketball team on a successful season, as shown to the rig

Serga [27]

Answer:

1.4in

Step-by-step explanation:

Length of Photo = 4in

Width of Photo = 3in

Unknown:

Value of X = ?

Solution:

Follow these steps:

Area of a rectangle = l x w

Since the photo is a rectangle; area of photo:

Area of photo = 4in x 3in = 12in²

For the area of the ad;

Length of ad = 4 + x

Width of ad = 3 + x

Given that,

the area of the photo = $\frac{1}{2}$ area of ad

12in² = $\frac{1}{2}$ area of ad

Area of ad = 24in²

Area of the ad;

(4 + x) (3 + x) = 24

12 + 4x + 3x + x² = 24

12 + 7x + x² = 24

x² + 7x = 24 - 12

x² + 7x = 12

x² + 7x - 12 = 0

Using the almighty formula where

a = 1, b = 7 and c = -12

x = $\frac{-b (+/-) \sqrt{b^{2} } - 4ac}{2a}$

x = $\frac{-7 + \sqrt[]{-7^{2} - 4x1x-12 } }{2x1}$ or $\frac{-7 - \sqrt[]{-7^{2} - 4x1x-12 } }{2x1}$

x = 1.4 or -8.4

therefore the answer is 1.4in

x is 1.4in

4 0

2 years ago

Susan is attending a talk at her son's school. There are 8 rows of 10chairs where 54 parents are sitting. Susan notices that eve

kozerog [31]

Answer:

The largest possible number of adjacent empty chairs in a single row is 3

Step-by-step explanation:

The parameters given are;

The number of chairs = 8 × 10 = 80 chairs

The number of parents = 54

Sitting arrangements of parents = Alone or to one other person

Therefore;

The maximum number of parents on a row = 1 + 1 + 0 + 1 + 1 + 0 + 1 + 1 + 0 + 1 = 7

Hence when the rows have the maximum number of parents occupying the seats we have for the 8 rows;

7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 = 56

But there are only 54 parents, therefore, up to the 7th row will have 7 parents while the 8th row will have only 5 parents to make the possible sitting arrangement to be as follows;

7 + 7 + 7 + 7 + 7 + 7 + 7 + 5 = 54

The sitting arrangement for the 8th row is therefore

1 + 1 + 0 + 1 + 1 + 0 + 1 + 0 + 0 + 0

Hence there will be three empty seats in the 8th row making the largest possible number of adjacent empty chairs in a single row = 3.

4 0

2 years ago

Lyle works at a bakery. He needs to mix 1 cup of brown sugar and 12 cup of granulated sugar to make each tray of 60 cookies. Eac

andriy [413]

Answer:

50 trays

3000 cookies

Step-by-step explanation:

We are given the following in the question:

1 cup of brown sugar and $\frac{1}{2}$ cup of granulated sugar makes a tray of 60 cookies.

Total cups of sugar used(brown and granulated) = 1.5 cups

Number of sugar cups used by Lyle each week = 75

We have to find the number of trays made each week.

$\text{Ratio} = \dfrac{\text{Cups of sugar mixture}}{\text{Number of trays}}\\\\\dfrac{1.5}{1} = \dfrac{75}{\text{Number of trays}}\\\\\Rightarrow \text{Number of trays} = \dfrac{75}{1.5} = 50$

Thus, 50 trays of cookies are made each week.

Total number of cookies made each week =

$=\text{Number of trays}\times \text{Number of cookies in 1 tray}\\=50\times 60\\=3000$

Thus, 3000 cookies are made each week.

8 0

2 years ago

For the 7:30 show time, 140 movie tickets were sold. Receipts from the $13 adult tickets and the $10 senior tickets totaled $1,6

PSYCHO15rus [73]

We can take adult ticket as x and senior ticket as y.

Now we will form two equations

x + y = 140

13x + 10y = 1664

This system of equations we will solve using Gaussian algorithm (gradual elimination of the variables)

We will multiply first equation with (-10) and get

-10x-10y=-1400 Than we will add to second equation and get

3x=264 => x=264/3=88 => x=88

Now we will replace x in the first equatin before multiplying and get

88+ =140 => y= 140-88= 52 => y=52

adult tickets x=88 and senior tickets y=52

Good luck!!!

8 0

2 years ago

Read 2 more answers

Darcy ordered 18 boxes of red balloons and 12 boxes of blue balloons for a party.She ordered a total of 240 balloons. How many b

olga2289 [7]

Answer: 8 balloons per box
8x18 + 8x12 = 144+96 = 240

8 0

2 years ago