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3 years ago

Does anyone know how to do this

Mathematics

2 answers:

zhenek [66]3 years ago

6 0

Tom's age: x
Maria is twice as old as Tom sober age is 2x

2x+x=30

3x=30

x=10

Tom is 10 years old and Maria is 20 years old.

Julli [10]3 years ago

5 0

Maria = x
Tom = y

Use substitution
x+y=30
2y=x

2y+y=30
3y=30
y=10
Tom is 10 years old.

x+y=30

x+10=30
x=20
Maria is 20 years old.

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2 years ago

The club's total number of members will grow exponentially each month. She uses the given expression to model the number of club

mihalych1998 [28]

Answer:

1.8 represents the initial number of the club members in hundreds.

Step-by-step explanation:

* Lets revise the exponential grows

- If a quantity grows by a fixed percent at regular intervals,

the pattern can be depicted by this function.

- The function of the exponential growth is:

y = a(1 + r)^x

# a = initial value (the amount before measuring growth)

# r = growth rate (most often represented as a percentage and

expressed as a decimal)

# x = number of time intervals that have passed

* Now Lets study the problem to solve it

- The club's total number of members will grow exponentially

each month

- The expression to model the number of club members, in

hundreds, after advertising for t months is

1.8(1.02)^12t

* Lets compare between this model and the function above

# a = 1.8 ⇒ initial number of members in hundreds

# r = 1.02 - 1 = 0.02 ⇒ growth rate

# x = 12t ⇒ number of time intervals

* 1.8 represents the initial number of the club members in hundreds.

6 0

3 years ago

Describe the transformation in the figure below

Keith_Richards [23]

Answer:

A) Reflection.

Step-by-step explanation:

From the figure shown, we can see that the blue triangle is flipped about the x-axis to form the red triangle.

When an object is flipped about a line, then this transformation is called reflection about that line.

Thus, we can say that reflection is taking place in the figure shown in which the x-axis is acting like a mirror. The blue triangle is the pre-image and the red triangle is the image after reflection.

The reflection about x-axis is given by:

$Pre-image(x,y)\rightarrow Image(x,-y)$

We can check the co-ordinates of the triangles and confirm the the transformation occurring

Points of pre-image triangle:

$(0,2),(4,5),(6,2)$

Points of image triangle

$(0,-2),(4,-5),(6,-2)$

Thus, the transformation is reflection.

3 0

3 years ago

Urgent!

Varvara68 [4.7K]

Answer:

See explanation

Step-by-step explanation:

From the graph,

After 1 hour passed, 2 inches of show fell
After 5 hours passed, 10 inches of snow fell
And so on

This means, that points (1,2), (5,10) lie on the graph. This graph passes through the origin, so its equation is

$y=kx,$

where k is the slope

Find k:

$2=k\cdot 1\\ \\k=2,$

so the equation is $y=2x$ and the slope is k = 2.

The slope means how many inches of snow fell in 1 hour.

In 1 hour, 2 inches of snow fell.

8 0

3 years ago