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Alla [95]
3 years ago
11

True or false?, If I earn 60% more than you,then you must earn 37.5% less than me

Mathematics
1 answer:
neonofarm [45]3 years ago
7 0

Answer:

True

Step-by-step explanation:

We have two salaries:

My salary is A

Your salary is B

If I earn 60% more than you

This means that

A = (1 + 0.6)B = 1.6B

You must earn 37.5% less than me

The ratio between your salary and mine is:

r = \frac{B}{1.6B} = 0.625

Your salary is 62.5% of mine. So you earn 100-62.5 = 37.5%. So this is true.

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A path through the middle of a circular garden is 14 feet long. [a] What is the distance around the outside of this garden? [b]
Neko [114]

Answer:

a. 43.96 feet

b.153.86 square feet

Step-by-step explanation:

Hi, the path through the middle of the circular garden is the diameter.

Since the diameter is equal to:

Diameter = 2 radius (r)

Solving for r

14 =2r

14/2 = r

r = 7 feet

The distance around the outside of this garden is the perimeter.

Perimeter of a circle (P) = 2 π r

Replacing with the values given:

P = 2 (3.14) 7 = 43.96 feet

b. area of the circle-

Area of a circle (A)= π r²

Replacing with the values given:

A = 3.14 (7²) =153.86 square feet

7 0
3 years ago
A turtle is 20 5/6 inches below the surface of a pond. It dives to a depth of 32 1/4 inches. What is the change in the turtle’s
Naddik [55]
Change=new-original
change=32 and 1/4-20 and 5/6
32 and 1/4-20 and 5/6=
32+1/4-(20+5/6)=
32+1/4-20-5/6=
32-20+1/4-5/6=
1/4 and 5/6
LCD=12
1/4 times 3/3=3/12
5/6 times 2/2=10/12

32-10+3/12-10/12=
12-7/12=
11+12/12-7/12=
11+5/12
the turtle went down so the change is negative

the change is -11 and 5/12 inches
5 0
3 years ago
1. Which of these transformations are isometries? The diagrams are not drawn to scale.
lisov135 [29]

In math, an isometry is a congruent transformation in which the distance (or length) and the angle is preserved or remains the same even after the transformation.

The transformation can be translation, rotation, reflection, etc.

Let us not use this definition of isometry to answer our question, one at a time.

(I) In here, as we can see the distances 10 and 5 and the angle 43 degrees has been preserved. So, <u>this is an isometry.</u>

(II) In here, distances have been halved, so this is<u> not an isometry</u>, even though the angles have been preserved.

(III) In here, the corresponding distances and the angles have been preserved. So, <u>this is an isometry.</u>

6 0
3 years ago
What is the correct factored for of x^2-9/x-3 to show a common factor can be divided out?
natali 33 [55]

Answer:

should be x^2-9/x-3

3 0
3 years ago
Tanya’s swim club increased their $29 membership fee by $6 a year. What is the approximate percent increase in the membership fe
Sunny_sXe [5.5K]
Hello! The answer is definitely not C or D, because that's way too i God an increase for this type of setting. It increased by around 20%, because when 35 and 29 are divided and you multiply the decimal by 100, when you ignore the "1" at the front, it shows an approximate 20% increase. The answer is A.
7 0
3 years ago
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