The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 3 to 2. If there were 1833 yes votes, what was the total
number of votes?

Answer:

I believe it could be any number because:

let y=any number

x^2+10x+y=16+y

x^2+10x+y-y=16+y-y

x^2+10x=16

you can add any number to both side and not change the solution.

The student should add 25 to both the sides of the quadratic equation x^2 + 10x+ ___ = 16 + ___

To complete the square for quadratic equation ax² + bx + c = 0 means we make the left hand side of the equation a perfect square.

1) First divide both the sides of the equation by the coefficient of x² that is 'a'

2) Add or subtract both the sides of the equation by (b/2)² that is complete the square

3) Solve the resulting equation to find the roots of the equation

For given example,

We have been given a quadratic equation x² + 10x+ ___ = 16 + ___

By comparing given equation with ax² + bx + c = 0,

we have a = 1, b = 10

To complete the square for given quadratic equation we add (b/2)² on both the sides.

⇒ (b/2)² = (10/2)²

⇒ (b/2)² = 5²

⇒ (b/2)² = 25

So, the quadratic equation would be,

⇒ x² + 10x + 25 = 16 + 25

⇒ (x + 5)² = 41

⇒ x + 5 = ±√41

⇒ x = -5 ± √41

So, the solutions of the quadratic equation would be x = -5 + √41 and x = -5 - √41

Therefore, the student should add 25 to both the sides of the quadratic equation x^2 + 10x+ ___ = 16 + ___

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Answer:

The new expression is:  12 x^2 - 12 x+ 30

Step-by-step explanation:

if C = x^2 + 7

and

D = 3 x^2 - 4 x + 3

Then, 3 C + 3 D can be obtained via:

3 ( x^2 + 7 ) + 3 ( 3 x^2 - 4 x + 3 )  = 3 x^2 + 21 + 9 x^2 - 12 x + 9 =

= 12 x^2 - 12 x+ 30

Answer:

Around 370 when rounded

Step-by-step explanation:

ok so we know that for one day rental cost 24.95 and 0.27 per mile.

Brad has a budget of 200 and wants to rent a car for 4 days and wants to know how many miles he can drive with his budget.

First off you have to mulitply 24.95(which is how much the rental cost per day) by 4. 24.95 x 4=99.8 so out of his 200 dollars he now has 100 budget for miles.

Next we are going to divide the 100 dollars left out of the budget by the cost per mile which is 0.27. 100/0.27=370 when rounded.

Answer:

Step-by-step explanation:

Answer:

2.56

Step-by-step explanation:

you add all the columns up to get an answer of 256 and divide it by 100=2.56

Answer:

2.4

Step-by-step explanation:

13.4 units hope this was helpful

The distance between two given coordinate points is 13.4 units. Therefore, option B is the correct answer.

The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x₁, y₁) and (x₂, y₂) is Distance = √[(x₂-x₁)²+(y₂-y₁)²].

The given coordinate points are L (3, 5) and M (9, -7).

Substitute, (x₁, y₁)=(3, 5) and (x₂, y₂)=(9, -7) in distance formula, we get

LM=√(9-3)²+(-7-5)²

= √36+144

= √180

= 13.4 units

Therefore, option B is the correct answer.

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Answer:

let length be l and breadth 1/4×l

perimeter of the rectangle =600ft

2(l+1/4×l)=600ft

(4l+l)/4=600/2

5l=300×4

l=1200/5=240ft

Step-by-step explanation:

240ft is the length of a rectangular.

Answer:

kapag napag aralan mo yan beh malalaman mo yung sagot kapit lang tiwala ka lang pag aralan mo tignan mo malalaman mo yung sagot jan wag kang magagalit dahil totoo yung sinbi ko cge keep safe and god bless..

Answer:

H

Step-by-step explanation:

Answer:

i have seen a lot of racist people. let me tell you something that happened the other day when i was on here i found this kid posting racist things and calling blacks ugly. and he then started being mean to my friends and every year we celebrate black history month for rights rights and this is a good thing to do cause we all matter.#black lives matter

Step-by-step explanation:

9514 1404 393

Answer:

  23, 49

Step-by-step explanation:

Let s represent the smaller of the two numbers. Then the larger is s+26, and the sum is ...

  s + (s+26) = 72

  2s = 72 -26

  s = (72 -26)/2 = 23

Then the larger number is

  s +26 = 49

The two numbers are 23 and 49.

_____

The reason we wrote the solution this way is to show you that the smaller number is half the difference between the given sum (72) and difference (26). This is the generic solution to a "sum and difference" problem. The smaller number is always half the difference of the give sum and difference. (Similarly, the larger is always half the sum of the given sum and difference.)

That is, the two numbers are always half the sum ± half the difference:

  72/2 ± 26/2 = {36+13, 36-13} = {49, 23}

Answer:

0.8888888888

Step-by-step explanation:

that decimal just convert it to a fractoin

Answer: £84

Step-by-step explanation:

The number of pupils in the class is 30, and the average number of correct spellings for each pupil is 14.

The total expected correct spellings is 30 x 14 = 420 spellings.

The average sponsorship for each correct spelling is 20p which = £0.20.

Therefore, the number of pounds the class is expected to raise for charity is 420 x 0.20 = £84.

Number of pounds the class is expected to raise for charity is 8400 pounds.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

Number of pupils in the class = 30

Average number of correct spellings for each pupil = 14.

The total expected correct spellings is 30 x 14 = 420 spellings.

The average sponsorship for each correct spelling is 20 pounds

The number of pounds the class is expected to raise for charity is 420 x 20 = 8400 pounds

Thus, number of pounds the class is expected to raise for charity is 8400 pounds.

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Answer:

A 20% decrease I believe

Step-by-step explanation:

So, you subtract 660-528 which is 132. You then divide that by 660 and you get 0.2 or 20%

I just learnt this in math today so I hope it helps you and I hope it's correct :>

Answer: I don't know what it means by "equation" but a coordnite plane

its -3,11 0,5 2,1 5,-5 7,-9

Step-by-step explanation:

Answer:

1 2 and 4

Step-by-step explanation:

Answer:

3,4,5,&6

Step-by-step explanation:

Answer:

(6,30)

Step-by-step explanation:

This is where the two lines intersect. Also, we can verify our answer by plugging 6 in for x and 30 in for y.

Answer:

A cupcake costs $1 and a pack of chip costs $1.50

Answer:

Bottom right

Step-by-step explanation:

A linear function is a function that if ploted would be represented by a straight line. The only function out of the following 4 that follows this statement is the bottom right option.

Answer:

Option 1

Step-by-step explanation:

Answer:

they have different answers

Step-by-step explanation:

X - 13 = 4 and 13 - X = 4

for x- 13 = 4

x=4+13=17

x=17

for 13 - x = 4

13-4-x=0

9-x=0

9=x

x=9

Answer:

2.yes 3.no

Step-by-step explanation:

Answer:

2.6

I am pretty sure this is right.

Answer: A

Step-by-step explanation: Granite is nearly always massive , hard, and tough.

t=100 I was not sure about y sowyy

Answer: the sale price is $2.70

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 18 × 85/100

Discount = 18 x 0.85

You save = $15.30

Final Price = Original Price - Discount

Final Price = 18 - 15.3

Final Price = $2.70

Answer:

$199.58

Step-by-step explanation:

$186 x 0.0730 = 13.578

13.578 + 186 = $199.57

Answer:

11/25

Step-by-step explanation:

Answer:

11/25

Step-by-step explanation:

44/100  →   22/50→   11/25