Tina is making rectangular signs. Each poster has an area of 1800 square inches and the length is 30 inches more than the width. Find the length and width of her sign. If x represents the width of each sign, select all of the equations that could be used to solve this problem. 2(x)+2(x+30)=1800 (x+30)(x)=1800 x(30x)=1800 x(x+30)=1800 Part 2 Find the dimensions of each rectangular sign. width = inches length = inches

Answers

Answer 1

Answer: Let the width be x. Since the length is 30inches longer than the width, the length is 30 + x.
Area = length x width = (30 + x)(x)
i.e. (30 + x)(x) = 1800 square inches.

$30x + x^(2) =1800 \n x^(2) +30x-1800=0 \n x^(2) -30x+60x-1800=0 \n ( x^(2) -30x)+(60x-1800)=0 \n x(x-30)+60(x-30)=0 \n (x+60)(x-30)=0$
x + 60 = 0 or x - 30 = 0
x = -60 or x = 30
but the width cannot be a negative number, hence x = 30inches
i.e. width = 30 inches
length = 30 + 30 = 60 inches.

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What isSlope-Intercept Form

Answers

Slope-intercept form is the formula:
Y=mx + b
The m= the slope
The b= the y-intercept
For example,
If you had the slope intercept form
Y=5x + 6
5= slope
6= y-intercept

the slope intercept form is the rate of change between any two points on a line it always is the same. The constant rate of change is called the slope of the line. Slope is the ratio of the rise, or vertical change, to the run, or horizontal change.

So Slope intercept form is basically Rise over Run.

a jeweler buys a ring from jewelry maker for $125. he marks up the price by 135% for sale in his store. what is the selling price of the ring with 7.5% sales tax?

Answers

Answer with explanation:

Price paid by Jeweler to jewelry maker for a ring=$125

Price that Jeweler wants for the ring

$=125+125*(135)/(100)\n\n=125+168.75\n\n=293.75$ $

Sales tax =7.5%

Price of ring if 7.5 % sales tax is included in 135% marked price

$=293.75 -293.75 *(7.5)/(100)\n\n=293.75-22.03125\n\n=271.71875\n\n=271.72$ $

Price of ring if 7.5 % sales tax is not included in 135% marked price

$=293.75 +293.75 *(7.5)/(100)\n\n=293.75+22.03125\n\n=315.78125\n\n=315.78$ $

You wouls do 125 times 135% and that would be 168.75 then you would do 125 add 168.75 which would equal 293.75 then you would do 293.75 times 7.5% which equals 22.03 then you would do 22.03 add 293.75 and the answer would be 315.78

What's the square root 20

Answers

by using calculator, these are the answers:
√20 = 4.47213595499958

√18 = 4.24264068711928

but without calculator,

√20 = √(4x5)
= √4 x √5
= 2 x √5
= 2√5

√18 = √(9x2)
= √9 x √2
= 3 x √2
= 3√2

When the sum of 1.9 and 2.2 is subtracted from the product of 1.9 and 2.2, what is the difference?

Answers

1.9+2.2= 4.1
1.9•2.2= 4.18
4.18-4.1= .08

Each adult paid 75 cents and each student paid 50 cents at the schoot play. A total of 750 attended. How many adults attended if the receipts totaled $437.50?

Answers

Answer:

250 adults

Step-by-step explanation:

With the information of the problem we have a system of two linear equations:

$x+y=750$

$0.75x+0.50y=437.50$

Where x represent the quantity of adults and y represent the student. Solving the first equation for x we have:

$x+y=750\nx=750-y$

Using this result in the second equation:

$0.75x+0.50y=437.50\n0.75(750-y)+0.50y=437.50\n562.5-0.75y+0.50y=437.50\n-0.25y=437.50-562.5\n-0.25y=-125\n0.25y=125\ny=(125)/(0.25)\ny=500$

With this result we know that we have 500 students, using the result of y in the first equation we will find the answer for x then:

$x+y=750\nx+500=750\nx=750-500\nx=250$

Then the we have 250 adults.

When the store had sold 2/9 of the boots that were on display, they brought out another 34 pairs from the stock room. If that gave them 174 pairs of boots out, how many pairs were on display originally?PLEASE SHOW WORK

Answers

Let us assume number of boots pairs were on display originally = x.

We are given 2/9 of the total boots pairs we sold.

So, 2/9 of x boots pairs were sold, that is

Number of boots pairs were sold = 2/3 x.

Number of boots pairs brought out from store = 34.

Remaining pairs of boots = 174 pairs.

So, we can setup an equation,

Total number of boots pairs - First number of boots pairs sold + number of boots pairs brought out from store = Remaining pairs.

x - 2/9 x +34 = 174.

Subtracting 34 on both sides, we get

x - 2/9 x = 34-34 = 174-34

x- 2/9 x = 140 .

Simplifying left fracions by taking common denominator,

9/9 x- 2/9 x = 140

(9x-2x)/9 = 140.

7/9 x = 140.

Multiplying both sides by 9.

9* 7/9 x = 9*140.

7x = 1260.

Dividing both sides by 7.

7x/7 = 1260/7

x= 180.

Therefore, 180 pairs were on displayed originally.

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