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dmitriy555 [2]
3 years ago
10

Last year 858 people attended the Middleton County Fair. This year 1,635 people attended. What was the percent increase from las

t year to this year? (Round to the nearest percent)
Mathematics
1 answer:
Pepsi [2]3 years ago
6 0

Answer:

91%

Step-by-step explanation:

The first step is to calculate the increase

= 1635-858

= 777

Therefore the percent increase can be calculated as follows

= 777/858 × 100

= 0.905× 100

= 90.5 %

= 91%

Hence the percentage increase is 91%

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What is the graph of 3x + 5y = –15?
Liono4ka [1.6K]

Answer:

Graph is option A

Step-by-step explanation:

3x + 5y = –15

To graph the equation , we need to get y alone

3x + 5y = –15

Subtract 3x on both sides

5y = -3x–15

Divide whole equation by 5

y=-\frac{3x}{5} -3

To graph this equation , we need to make a table

Plug in some number for x  and find out y

x                y=-\frac{3x}{5} -3

0                -3

-5                0

Two points on the graph is (-5,0)  and (0,-3)

Graph is option A

7 0
3 years ago
Read 2 more answers
What are the solutions of the equation (x – 3)2 + 2(x – 3) -8 = 0? Use u substitution to solve.
Andrej [43]

Answer:

x = -1 and x = 5

Step-by-step explanation:

<em>What are the solutions of the equation (x – 3)² + 2(x – 3) -8 = 0? Use u substitution to solve.</em>

<em />

(x – 3)² + 2(x – 3) -8 = 0   -------------------------------------------------------(1)

To solve this problem, we will follow the steps below;

let u = x-3

we will replace x-3 by u in the given equation:

(x – 3)² + 2(x – 3) -8 = 0  

u² + 2u -8 = 0  ----------------------------------------------------------- --------------(2)

We will now solve the above quadratic equation

find two numbers such that its product gives -8 and its sum gives 2

The two numbers are 4 and -2

That is; 4×-2 = -8    and 4+(-2) = 2

we will replace 2u by (4u -2u)  in equation (2)

u² + 2u -8 = 0

u² + 4u - 2u -8 = 0

u(u+4) -2(u+4) = 0

(u+4)(u-2) = 0

Either  u + 4 = 0

            u = -4

or

u-2 = 0

u = 2

Either u = -4    or u = 2

But  u = x-3

x = u +3

when u = -4

x = u + 3

x = -4 + 3

x=-1

when u = 2

x = u + 3

x = 2 + 3

x=5

Therefore, x = -1  and  x =5

x

6 0
3 years ago
Long division by single digit <br>​
Sauron [17]

Answer:

Here's an example of long division:

Step-by-step explanation:

Let's just do 48 divided by 6. First you have to multiply the 6 (the number we're dividing with) until it reaches the closest to 48 (6 x 8 = 48). Now you subtract 48 from 48, and you get zero. So 48 divided by 6 would be 0.

Hope this answers your question!

7 0
3 years ago
Is there a proportional relationship? A salt water solution for and aquarium calls for 35 parts of salt to 1000 parts of water t
morpeh [17]

Answer:

Yes

Step-by-step explanation:

To check proportionality :

35 α 1000

35 = 1000k

k = constant of proportionality ;

Divide both sides by 1000 to obtain k

35 / 1000 = 1000k / 1000

0.035 = k

For the ratio Given :

Ratio of 7 parts of salt and 200 parts of water

7 : 200

7 / 200

= 0.035

Since,

k = 0.035 ; 7 / 200 = 0.035

Hence, a proportional relationship exists.

7 0
3 years ago
The length of a rectangle is 3 inches longer than half of its width. The area of the
IgorLugansk [536]

Answer:

Width = 26 inches

Step-by-step explanation:

The area of the rectangle is:

area = (length*width)

416 = a*b

a = b/2  + 3

a = length

b = width

then:

416 = (b/2 + 3) (b)

416 = b*b/2 + b*3

416 = b²/2 + 3b

0 = b²/2 + 3b - 416

b = {-(+3)±√((3²)-(4*1/2*-416))} / (2*1/2)

b = {-3±√(9+832)} / 1

b = {-3±√841}

b = -3±29

only take the positive value becuse is a natural number

b = -3+29

b = 26 inches

a = b/2 + 3

a = 26/2 + 3

a = 13 + 3

a = 16 inches

Check:

416 = 16 * 26  

8 0
3 years ago
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