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3 years ago

What is the ratio of Tom's salary to Adam's salary if Tom's salary is $4,500 and Adam's salary is $7,500?

Mathematics

1 answer:

Anni [7]3 years ago

3 0

Answer:

3 : 5

Step-by-step explanation:

To express $4500 : $7500 as a ratio in simplest form

divide both quantities by 500

= 9 : 15 ← divide both by 3

= 3 : 5 ← ratio in simplest form

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Match the correct translation with the given transformation.

VLD [36.1K]

Answer:

1. a-b

2. a-d

3. c-e

4. g-f

5. a-h

6. e-j

5 0

3 years ago

Two persons start running simultaneously from a certain point, one towards south and another towards east. After 2 hours, the di

Volgvan

The Pythagorean theorem is sometimes known as Pythagoras' theorem. The speed of the faster person is 40 kmph.

<h3>What is Pythagoras' theorem?</h3>

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.

Let the speed of one person be represented by x, then the speed of the other person, if the speed of the second person is 75% of the first.

Speed of first-person = x
Speed of second-person = 75% of Speed of first-person = 0.75x

Now, the distance covered by two persons in 2 hours is,

Distance covered by the first-person = x × 2 = 2x
Distance covered by the second-person = 0.75x × 2 = 1.5x

Since one person runs towards the south and another towards the east. Therefore, will form a 90° angle between their directions.

Now, the distance between the two after two hours is 100 km, therefore, we can write,

(2x)² + (1.5x)² = 100²

4x² + 2.25x² = 10000

6.25x² = 10000

x² = 10000/6.25

x² = 1600

x = √1600

x = 40

Hence, the speed of the faster person is 40 kmph.

Learn more about Pythagoras' Theorem here:

brainly.com/question/14461977

#SPJ4

6 0

1 year ago

Find the solution of 3 times the square root of the quantity of x plus 6 equals negative 12, and determine if it is an extraneou

Anna35 [415]

For this case we have the following equation:
$3 \sqrt{x+6}=-12$
Rewriting we have:
$\sqrt{x+6}= \frac{-12}{3}$
$\sqrt{x+6}=-4$
We raise both members of the equation to the square:
$(\sqrt{x+6})^2=(-4)^2$
Rewriting we have:
$x+6=16$
$x=16-6$
$x=10$
It's a extraneous solution because equality is not met by substituting x = 10 in the original equation:
$3 \sqrt{10+6}=-12$
$3 \sqrt{16}=-12$
$3(4)=-12$
$12=-12$
Answer:
The solution is:
$x=10$
It's a extraneous solution

6 0

3 years ago

The ordered pair (a,b)satisfies the inequality y<br><br>need a little help

Ymorist [56]

Answer:

If you add 5 to a, it will be greater than b

Step-by-step explanation:

This is because if you have the inequality y<x+5 a=x b=y so by adding 5 to a meaning x 5+a will still be greater than b(y) with out changing the sign or inequality.

3 0

2 years ago

docker41 [41]

Answer:

1115322

Step-by-step explanation:

In 1906, San Francisco felt the impact of an earthquake with a magnitude of 7.8.

Claimed statement is he worst is yet to come, with an earthquake 142,990 times as intense as the 1906 earthquake ready to hit San Francisco.

We need to find the magnitude of their claimed earthquake.

It can be calculated by simply multiplying 142,990 by 7.8 as follows :

$E=142990 \times 7.8\\\\=1115322$

The magnitude of claimed earthquake is 1115322 .

8 0

3 years ago