Ask question

Ask question

All categories

2 years ago

14

Lulu wants to get fit. She started with 50 laps a day and she intends to add 10 laps every week. Write a mathematical expression

for this statement.

1 answer:

vlabodo [156]2 years ago

7 0

Answer: 10x + 50

Step-by-step explanation:

lets say that x is equal to the amount of weeks that she runs. She starts off the first week with 50

Then, since she is adding 10 every week, you would do 10x, or 10 times the amount of weeks that she runs.

Since you originally started with 50, you have to add the 50 to the 10x.

So you get...

<h3>10x + 50</h3>

For example

on week 2, if you plug in 2 to x you get

10(2) +50

20 + 50

70 laps after the second week

You might be interested in

A, b, and c are collinear, and B is between a and c. The ratio of AB to AC is 1:2. If A is at (7,-1) and B is at (2,1) what are

Nutka1998 [239]

Answer:

C(-3,3)

Step-by-step explanation:

Given

A = (7,-1)

B = (2,1)

AB:AC = 1:2

Required

Determine the coordinates of C

Since, B is between A and C; we need to determine ratio BC as follows;

$AB:AC = 1:2$

Convert to division

$\frac{AB}{AC} = \frac{1}{2}$

<em>AC = AB + BC;</em>

$\frac{AB}{AB + BC} = \frac{1}{2}$

Cross Multiply

$2 * AB = 1 * (AB + BC)$

$2 AB = AB + BC$

$2AB - AB = BC$

$AB = BC$

Divide both sides by BC

$\frac{AB}{BC} = 1$

Rewrite as

$\frac{AB}{BC} = \frac{1}{1}$

Write as ratio

$AB:BC = 1:1$

Next is to determine the coordinates of C as follows;

Because B is between both points. we have:

$B(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})$

Where

$m:n = AB:BC = 1:1$

$B(x,y) = B(2,1)$

$A(x_1,y_1) = A(7,-1)$

So; we're solving for x2 and y2

$B(2,1) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})$

Where

Solving for x2;

$x = \frac{mx_2 + nx_1}{m+n}$

$2 = \frac{1 * x_2 + 1 * 7}{1+1}$

$2 = \frac{x_2 + 7}{2}$

Cross Multiply

$2 * 2 = x_2 + 7$

$4 = x_2 + 7$

$x_2 = 4 - 7$

$x_2 = -3$

Solving for y2;

$y = \frac{my_2 + ny_1}{m+n}$

$1 = \frac{1 * y_2 + 1 * -1}{1+1}$

$1 = \frac{y_2- 1}{2}$

Cross Multiply

$2 * 1 = y_2 - 1$

$2 = y_2 - 1$

$y_2 = 2 + 1$

$y_2 = 3$

<em>Hence, the coordinates of C are: C(-3,3)</em>

4 0

4 years ago

5.75% of x = 28000<br> What is x?

kkurt [141]

Answer:

x = 486956.5217

Step-by-step explanation:

5.75% of x = 28000

Of means multiply

Change the percent to a decimal

.0575 * x = 28000

Divide by .0575 on each side

.0575/.0575 * x = 28000/.0575

x = 486956.5217

8 0

4 years ago

What is the solution to the equation x + 2.15 = –3.2?

larisa86 [58]

X = -5.35

Sorry if I'm wrong

4 0

4 years ago

Read 2 more answers

Joshua sponsored a fundraiser that 708 people attended. He raised $8,640. He charged $15 for balcony seats and $10 for ground se

lozanna [386]

312 people bought balcony seats and 396 people bought ground seats.

5 0

3 years ago

Which number produces a rational number when added to 1/5?

dimaraw [331]

Answer:

1/5 is a rational number

Step-by-step explanation:

"In mathematics, a rational number is a number such as -3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1."

6 0

3 years ago