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3 years ago

If 3 is added to a number and the sum is multiplied by 3 the result is 7 times the number decreased by 9 find the numbers

Mathematics

1 answer:

Naya [18.7K]3 years ago

5 0

Answer: $\frac{9}{2}$

Step-by-step explanation:

3(3 + x) = 7x - 9

9 + 3x = 7x - 9 distributed 3 on the left side

-3x -3x

9 = 4x - 9

+9 +9

18 = 4x

÷4 ÷4

$\frac{9}{2}$ = x

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Would the scale factor 4.2 enlarge,reduce,or preserve

Juli2301 [7.4K]

Hey there! I'm happy to help!

Let's look at what scale factors would be able to enlarge, reduce, and preserve first. We will use the point (1,1) as an example.

ENLARGE

When we talk about scale factors, both of our numbers of the ordered pair will be multiplied by that number. To make it bigger, we will multiply it by anything larger than a one, we could have a scale factor such as 2, 100, 579395. etc.!

Dilation of 2

(1,1)⇒(2,2)

REDUCE

To reduce our ordered pair, our scale factor must be a number greater than zero but less than one because it cannot switch quadrants, which is what would happen if we used negative numbers. Our reduced number must be greater than zero. We can use 1/2, 1/4, 1/100, 0.67 etc.

Dilation of 1/2

(1,1)⇒(0.5,0.5)

PRESERVE

What would we multiply an ordered pair by to make it stay the same? One of course! This is the only number that will keep it the same!

Dilation of 1

(1,1)⇒(1,1)

Now, let's think of any scale factor as X and see what rules it has to follow to be enlarging, reducing, or preserving.

ENLARGING SCALE FACTOR: X>1

REDUCING SCALE FACTOR: 0<X<1

PRESERVING SCALE FACTOR: X=1

So, where does 4.2 fall? Well, as you can see, 4.2 is greater than one, so this scale factor would make our point larger.

Therefore, 4.2 would enlarge.

I hope that this helps! Have a wonderful day!

8 0

3 years ago

Which measurement is equivalent to 987 mL? 9.87 L 9,870 L 0.987 L 98.7 L

Nookie1986 [14]

0.987L

1L is equal to 1000mL.

5 0

3 years ago

Please help!!! I don’t understand!

soldier1979 [14.2K]

Answer:

y = 3x

Step-by-step explanation:

Hope this helps!

-Josh

3 0

2 years ago

Given the function, d(t) = 50t, the variable t represents which of the following? Select all that apply. input output function i

Nikitich [7]

Answer:

Input

Independent variable

Step-by-step explanation:

we know that

Independent variables, are the values that can be changed or controlled in a given model or equation

Dependent variables, are the values that result from the independent variables

we have the function

$d(t)=50t$

In this problem

This is a proportional relationship between the variables d and t

The function d(t) represent the dependent variable or the output

The variable t represent the independent variable or input

5 0

2 years ago

Read 2 more answers

In a class 20 of students, 7 have a cat and

blsea [12.9K]

Answer:

$\frac{3}{20}$

Step-by-step explanation:

Since there are 20 students, this will be the denominator.

Now, to find how many students have a dog and a cat, you need to subtract all the numbers with 20. The leftover number will be the amount of students.

7+8+8=23

23-20=3

So, there are 3 students who have a dog and a cat.

So, the fraction will be $\frac{3}{20}$

8 0

2 years ago