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notka56 [123]
3 years ago
14

Share £60 in the ratio 1:4

Mathematics
1 answer:
Hitman42 [59]3 years ago
5 0

Answer:

Let one no. be 1x

other be 4x

x+4x=60

5x=60

x=12

4x=4×12

48

hope it helps :)

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15 more than twice a number
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Answer:

15×2x

Step-by-step explanation:

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315% is what of 82.53
Aloiza [94]
315% is roughly 0.0382 of 82.53.
On the other hand, 315% of 82.53 is 259.9695 .
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A local yoga studio
Andrews [41]

Answer:

Let's call the first studio, yoga studio A.

Let's call the second studio, yoga studio B.

The equations:

Yoga Studio A: y=10x+55

Yoga Studio B: y=12.5x+25

So, for 12 classes:

Yoga Studio A: y=10(12)+55, y=175

Yoga Studio B: y=12.5(12)+25, y=175

These two numbers are equal, so Griffin is right.

For 10 classes:

Yoga Studio A: y=10(10)+55, y=155

Yoga Studio B: y=12.5(10)+25, y=150.

These two numbers are not equal, so Gigi is wrong.

Let me know if this helps!

5 0
3 years ago
Officials at a major university wanted to know what percent of their students recycle paper. They conducted a random survey and
Crazy boy [7]

Answer:

0.95 = 95% probability that a randomly selected student at this university recycles at least some of the time

Step-by-step explanation:

For a randomly selected student, we have these following probabilities:

0.55 probability that they always recicle.

0.25 probability that they usually recicle.

0.15 probability that they recicle only when it's convenient.

0.05 probability that they never recicle.

What is the probability that a randomly selected student at this university recycles at least some of the time?

Always, usually or only when it's convenient.

0.55 + 0.25 + 0.15 = 0.95

0.95 = 95% probability that a randomly selected student at this university recycles at least some of the time

5 0
3 years ago
Jenni plots her house and yard on a computer. she determines that the circle that defines the part of the front yard that gets w
butalik [34]

The length of the diameter, in meters, of the circular area that gets watered by the sprinkler for this condition is given by: Option B: 8 m

<h3>What is the equation of the circle of radius r units, centered at (x,y) ?</h3>

If a circle O has radius of r units length and that it has got its center positioned at (h, k) point of the coordinate plane, then, its equation is given as:

(x-h)^2 + (y-k)^2 = r^2

For this case, the equation of the circle that models tha circular area considered is:

(x-9)^2 + (y+11)^2=16

Writing this in standard form and comparing it with the standard equation, we get:

(x-9)^2 + (y+11)^2=16\\(x-9)^2 + (y - (-11) )^2  = 4^2 (didn't took (-4)² = 16 since radius cannot be negative).

Thus, we get center's coordinate as (9,-11) and radius of 4

The diameter of that circular area = twice of radius of the circle which models it = 2 × 4 = 8 meters.

Thus, the length of the diameter, in meters, of the circular area that gets watered by the sprinkler for this condition is given by: Option B: 8 m

Learn more about equation of a circle here:

brainly.com/question/10165274

3 0
2 years ago
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