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klasskru [66]
3 years ago
5

Two numbers are consecutive positive multiples of 3. Three times the larger of the numbers is 7/10of 5 times the smaller. What a

re the numbers?
Mathematics
1 answer:
marta [7]3 years ago
3 0

Answer:

18 and 21

Step-by-step explanation:

Let the smaller number = 3x

Let the larger number =  3x + 3

The three and the plus 3 insure that the numbers are multiples of 3 and are consecutive.

3* (3x + 3) = 7/10 * 5 (3x)       Multiply both sides by 10

30*(3x + 3) = 7 * 5 * 3x          Remove the brackets

90x + 90 = 7 * 5 * 3x             Combine the right

90x + 90 = 105x                    Subtract 90x from both sides.

<u>-90x             -90x</u>

           90 = 15x                     Divide by 15

x = 90/15

x = 6

Let's see if it works.

3*(3x + 3) = 3*(18 + 3) = 3 * 21 = 63

7/10 * 5 *3x = 7/10 * 5 * 3*6 = 630 / 10 = 63

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Step-by-step explanation:

7 times less showed up so, 70 divided by 7 is 10. 10 guests attended.

5 0
2 years ago
Can u please help me with this u know who u are
Dahasolnce [82]
4/7s+6/7 is the answer
4 0
3 years ago
Work out the surface area of this sphere.
MrRissso [65]

Answer:

452.2 cm

Step-by-step explanation:

A = 4πr²

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5 0
2 years ago
The point (–3, –5) is on the graph of a function. What equation must be true regarding the function?
Komok [63]

The equation that must be true regarding the function is a. f(–3) = –5

<h3>How to explain the information?</h3>

The point (–3, –5) is on the graph of a function. Which equation must be true regarding the function?

a. f(–3) = –5

b. f(–3, –5) = –8

c. f(–5) = –3

d. f(–5, –3) = –2

The question is what does the point (-3, -5) correspond to on the graph of the function.

If we have a point on a graph in the Cartesian coordinate system then that point consists of coordinates (x, y). In other words, y=f(x) and x so (x, f(x)) where x is a x-coordinate and y=f(x) is y-coordinate.

Hence if we have a point (-3, -5) the corresponding coordinates are x=-3 and y=f(x)=-5.

Therefore the correct answer is f(-3)=-5.

Learn more about equation  on:

brainly.com/question/2972832

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7 0
2 years ago
If c is the hypotenuse of a right triangle,find the missing side. If necessary, round to the nearest hundredth. c=sqrt(155), b=s
Lunna [17]
A^2 + 31 = 155  - I squared each of b and c for those numbers
a^2 = 155 - 31
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a = 4 * sqrt(31)
6 0
3 years ago
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