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nika2105 [10]
3 years ago
15

PLEASE HELP ME TO COMPLETE THIS QUESTION ​

Mathematics
1 answer:
coldgirl [10]3 years ago
4 0

Answer:

Step-by-step explanation:

a) Increase in population =510,000 - 430,000 = 80,000

Percentage increase = \frac{80,000}{430,000}*100

                                   = \frac{800}{43}

                                   = 18.6 %

b) Percentage increase = 17.3%

Increase in population = 17.3% * 510,000

                                     = 0.173 * 510,000

                                     = 88,230

Predicted population in 2021 = 510,000 + 88,230

                                                 =  598,230

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a language arts test is worth 100 points there is a total of 26 questions . there are spelling word questions that ae worth 2 po
natka813 [3]

10 question of spelling words and 16 questions of vocabulary are present

<em><u>Solution:</u></em>

Let "x" be the number of spelling word questions

Let "y" be the number of vocabulary word question

<em><u>There is a total of 26 questions. Therefore, we get</u></em>

number of spelling word questions + number of vocabulary word question = 26

x + y = 26 --------- eqn 1

<em><u>There are spelling word questions that worth 2 points each and vocabulary word question worth 5 points each</u></em>

The language arts test is worth 100 points

Therefore, we frame a equation as:

number of spelling word questions x 2 + number of vocabulary word question x 5 = 100

x \times 2 + y \times 5 = 100

2x + 5y = 100 --------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

From eqn 1,

x = 26 - y ------- eqn 3

<em><u>Substitute eqn 3 in eqn 2</u></em>

2(26 - y) + 5y = 100

52 - 2y + 5y = 100

3y = 100 - 52

3y = 48

<h3>y = 16</h3>

<em><u>Substitute y = 16 in eqn 3</u></em>

x = 26 - 16

<h3>x = 10</h3>

Thus 10 question of spelling words and 16 questions of vocabulary are present

4 0
3 years ago
Which of the following shows 7 + (x + 4y) rewritten using the Associative Property of Addition? Select one: a. 7 + x + 4y b. 7x
ipn [44]
I'm pretty sure it's A. 7+x+4y, but I could be wrong.
6 0
4 years ago
Find the volume of the cylinder
Marta_Voda [28]

Answer:

500π m^3

Step-by-step explanation:

The question is not complete

Cylinders are described with dimensions as

Diameter and Height

Say the diameter is

D= 10m

and Height is

H=20

Hence the radius is

R= D/2= 10/2= 5 m

Therefore the volume is gotten as

V= πr^2h

V= π*5^2* 20

V=  π*25*20

V= 500π m^3

Hence the volume is  500π m^3

4 0
3 years ago
Which equation represents y=x^2-10x+30 in vertex form?
drek231 [11]

We are given parabola equation y=x^2-10x+30.

We need to convert it in vertex form y= a(x-h)^2+k.

We need to find the value of a, h and k to get the vertex form.

For the given equation y=x^2-10x+30, the coefficient of x^2 is 1.

Therefore, a=1.

Now, let us find values of h and k.

h = -b/2a.

h = -(-10)/2(1) = 5.

Plugging x=5 in given equation to get the value of k.

y= x^2-10x+30 => (5)^2 -10(5) +30 = 25 -50 +30 = 5.

Therefore, k =5.

Therefore, vertex (h,k) = (5,5).

<h3>So, the vertex form is </h3>

y=(x-5)^2+5

6 0
4 years ago
12. Willie rented a bike from Sarawong's Bikes. It cost $18 plus $5 per hour. Il Willie paid $63 then he rented the bike for how
Alenkasestr [34]
9 hours is the correct answer
9 x 5 = 45
45 + 18 = 63
6 0
3 years ago
Read 2 more answers
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