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Sergeeva-Olga [200]
3 years ago
13

point q is located at (18, 5). The x-coordinate of point r id half as much as the x-coordinate of point Q The y-coordinate of po

int r is 3 more than the y-coordinate of point q
Mathematics
1 answer:
Hoochie [10]3 years ago
6 0

Answer:

R (27, 8)

Step-by-step explanation:

The coordinate plane is a two-dimensional plane consisting of the y axis (vertical line) and x-axis (horizontal line). The origin is known as the zero point (reference point) is the intersection of the x axis and y axis.

A point on the coordinate plane is represented by (x, y) where x is the x coordinate and y the y coordinate.

Given point Q = (18, 5), the x coordinate is 18 and the y coordinate is 5.

Let the location of point R = (a, b)

a = x-coordinate of point Q + 1/2 of x-coordinate of point Q = 18 + (1/2)*18 = 27

b = y-coordinate of point Q + 3 = 5 + 3 = 8

Therefore R = (27, 8)

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2.) Write the probability as a fraction in simplest form. P (consonant) *
ValentinkaMS [17]

Answer:

2/3

Step-by-step explanation:

There are 6 different letters and 4 of them are consonants, so:

4/6 simplify it by 2:

2/3

4 0
3 years ago
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Principal Lopez asked her 500 students to vote on the school's annual gift. 300 students voted to donate a telescope for the sci
Maksim231197 [3]

Using the percentage concept, it is found that 60% of the students voted to donate a telescope.

<h3>What is a percentage?</h3>

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

P = \frac{a}{b} \times 100\%

In this problem:

  • The total amount is the number of students, which is of b = 500.
  • 300 voted to donate, hence a = 300.

The <em>percentage </em>is given by:

P = \frac{300}{500} \times 100\% = 60\%

60% of the students voted to donate a telescope.

More can be learned about the percentage concept at brainly.com/question/10491646

5 0
2 years ago
5. Find the solutions of x^2 – X-30 = 0.<br><br> please show work on how to do it
erica [24]

Answer:

x=6, x= -5

Step-by-step explanation:

Factor the equation

x^2 - x - 30 = 0 ----> (x-6)(x+5)=0

Next find the solution by setting those in the paranthesis equal to zero.

x-6=0 ----> x= 6

x+5=0 ----> x= -5

8 0
3 years ago
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If the sales tax rate is $8.25 per $100.00.What is the sales tax if the sale amount is $54.80?
Brums [2.3K]

Answer: $4.52

Step-by-step explanation:

From the question, sales tax rate is $8.25 per $100, this means that for every $100 item sold, $8.25 will be paid as sales tax.

Sales tax for 54.80 = x

Step 2: write the equation as;

8.25 = $100

Sales tax for $1 item will be (divide both sides by 100

$8. 25/ 100 = $0.0825

Step 3: determine the sales tax on $1 item, that is if sales tax $1 item = $0.0825

Sales tax for $54.80 item will be 0.0825 x 54.80

= $4.52

7 0
3 years ago
Please show the steps for this question <br> Divide z4 by z-3
dsp73
Z^4 / z^-3 = z^7  - when you divide numbers written in exponential form, you keep the base and subtract the exponents.  z^4 divided by z^-3 = z^ (4- (-3)) = z^7.
8 0
3 years ago
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