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nalin [4]
3 years ago
13

Write the fraction two fifteenths as an equivalent fraction with a denominator of 75

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
3 0
2/15 = x/75 
15x = 2(75)
<u>15x = 150
</u>      15
x = 10
10/75
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Segment FG begins at point F(-2, 4) and ends at point G (-2, -3). Segment FG is translated by (x, y) → (x – 3, y + 2) and then r
Mariana [72]

Answer:

The length of the segment F'G' is 7.

Step-by-step explanation:

From Linear Algebra we define reflection across the y-axis as follows:

(x',y')=(-x, y), \forall\, x, y\in \mathbb{R} (Eq. 1)

In addition, we get this translation formula from the statement of the problem:

(x',y') =(x-3,y+2), \forall \,x,y\in \mathbb{R} (Eq. 2)

Where:

(x, y) - Original point, dimensionless.

(x', y') - Transformed point, dimensionless.

If we know that F(x,y) = (-2, 4) and G(x,y) = (-2,-3), then we proceed to make all needed operations:

Translation

F''(x,y) = (-2-3,4+2)

F''(x,y) = (-5,6)

G''(x,y) = (-2-3,-3+2)

G''(x,y) = (-5,-1)

Reflection

F'(x,y) = (5, 6)

G'(x,y) = (5,-1)

Lastly, we calculate the length of the segment F'G' by Pythagorean Theorem:

F'G' = \sqrt{(5-5)^{2}+[(-1)-6]^{2}}

F'G' = 7

The length of the segment F'G' is 7.

8 0
3 years ago
A family of 5 monkeys eats 2 bananas per day each. How many bananas do they eat in 4 days?
valkas [14]

Answer:

8

Step-by-step explanation:

A family of 5 monkeys eat 2 bananas a day.

to figure out how much the monkeys will eat in 4 days

multiply 2 by 4.

make sure the question is not for each monkey or the answer will be

(2 by 4) by 5. witch would be 40

however for the case your saying the answer would be 8

8 0
3 years ago
Previous
Natali5045456 [20]

Answer: y = 5d + 7 / c - 3

Step-by-step explanation:

Step 1: Add -3y to both sides

cy - 7 + -3y = 5d + 3y + -3y

= cy - 3y - 7 = 5d

Step 2: Now, add 7 on both sides

cy - 3y - 7 +7 = 5d +7

= cy - 3y = 5d +7

Step 3: Factor out y

y(c - 3) = 5d + 7

Step 4: Divide both sides by c-3

y(c - 3) / c - 3 = 5d+7 / c-3

Your answer for this should be

y = 5d + 7 / c - 3

Hope this helped!

3 0
3 years ago
It is greater than 43 and less then 52 if you add the digits the sum is 8
Ksenya-84 [330]
44 is the answer 4+4=8
3 0
3 years ago
What is the equivalent fractuon of 2 1/2​
irina [24]

Answer:

5/2

Step-by-step explanation:

In order to make the fractions equivalent, you need to place the whole number INTO the fraction itself. By doing so, your answer will be 5/2

Hope this helps :)

3 0
3 years ago
Read 2 more answers
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