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3 years ago

Twelve more than a number is the product of -3 and 6. Translate using n

Mathematics

1 answer:

sergiy2304 [10]3 years ago

7 0

Answer: n + 12 = -18 or n + 12= -3(6)

Step-by-step explanation:

12 more than a number means 12 is added to the number so the expression will be n + 12 and the product of -3 and 6 is the same as -3 times 6 which is -18 . n + 12 has to equal -18 .

n + 12 = -18 now subtract 12 from both sides

-12 -12

n= -30

So the number is -30

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What point would be reflected across the y-axis to ( − 3, − 9) ?

Aloiza [94]

Answer:

(-3, 9)

Step-by-step explanation:

If a point was reflected across the y-axis, then the y-coordinate would change signs (from negative to positive or from positive to negative). Using this, we could find the original point by changing the sign of the y-coordinate. As you may already see, this is really just reflecting the point across the y-axis again. By doing this, you get the point (-3, 9).

The point would be (-3, 9).

I hope this helps. :)

5 0

3 years ago

9. The ticket at right has a perimeter of 42 cm.

Liula [17]

Perimeter simply represents the sum of all side lengths of a shape. The length of the missing side of the ticket is 5 cm; the length of gold line on each ticket is 20 cm, and 2 bottles of gold ink are required to draw gold lines on 200 tickets.

I've added the image of the ticket as an attachment.

(a) The missing side length

From the attachment, the 4 unknown side lengths are equal. Represent this side length with L.

So, we have:

$Perimeter =2\times 11 + 4 \times L$

This gives

$2\times11 + 4 \times L = 42$

$22 + 4 \times L = 42$

Collect like terms

$4 \times L = 42-22$

$4 \times L = 20$

Divide both sides by 4

$L =5cm$

(b) The length of the gold lines

There are 4 slant lines and the length of one of the slant lines is 5 cm (as calculated above).

So, the length of the gold line is:

$Gold = 4 \times L$

$Gold = 4 \times 5cm$

$Gold = 20cm$

$n = 200$ --- number of tickets

The length of all gold line in the 200 tickets is:

$Length = 200 \times Gold$

$Length = 200 \times 20cm$

$Length = 4000 cm$

$Length = 4000 \times 0.01m$ ---- convert to meters

$Length = 40m$

Given that:

$Bottle = 20m$ --- 1 bottle for 20 m

The number of bottles (n) is:

$n = \frac{Length}{Bottles}$

$n = \frac{40m}{20m}$

$n = 2$

Hence, 2 bottles of gold ink are enough.

Read more about perimeters at:

brainly.com/question/6465134

4 0

2 years ago

Two roads intersect at right angles. You are standing 24 meters north of the intersection on one of the roads. You are watching

Mrrafil [7]

Answer:

112 meters

Step-by-step explanation:

5 0

3 years ago

What is the approximate length of line segment EF

SCORPION-xisa [38]

Answer: A

Step-by-step explanation: A because if you count the units, the it leaves you with answer A, 6 units (or 3 units squared but it isn't an answer choice)

8 0

3 years ago

Im trying to figure out how to find the length of an equilateral triangle

gulaghasi [49]

All 3 sides of an equilateral triangle are the same.

Set up an equation with two sides equaling each other and solve for n:

2n +15/4 = 7n

Subtract 2n from both sides:

15/4 = 5n

Divide both sides by 5:

n = (15/4) / 5

n = 3/4

Now you have a value for n, replace n and solve for the length:

7n = 7(3/4) = 21/4 = 5 1/4

Each side is 5 1/4

7 0

3 years ago