Ask question

Ask question

All categories

3 years ago

10

Dominic and Tyler collected soda cans to raise money. Dominic collected 700 cans and Tyler collected 7000 cans. The number of ca

ns Tyler collected is how many times greater than the number of cans Dominic collected?

1 answer:

Crank3 years ago

4 0

It should be ten times greater since,

700x10=7000

So ten times greater.

You might be interested in

Solve the following recurrence relation: <br> <img src="https://tex.z-dn.net/?f=A_%7Bn%7D%3Da_%7Bn-1%7D%2Bn%3B%20a_%7B1%7D%20%3D

-Dominant- [34]

By iteratively substituting, we have

$a_n = a_{n-1} + n$

$a_{n-1} = a_{n-2} + (n - 1) \implies a_n = a_{n-2} + n + (n - 1)$

$a_{n-2} = a_{n-3} + (n - 2) \implies a_n = a_{n-3} + n + (n - 1) + (n - 2)$

and the pattern continues down to the first term $a_1=0$ ,

$a_n = a_{n - (n - 1)} + n + (n - 1) + (n - 2) + \cdots + (n - (n - 2))$

$\implies a_n = a_1 + \displaystyle \sum_{k=0}^{n-2} (n - k)$

$\implies a_n = \displaystyle n \sum_{k=0}^{n-2} 1 - \sum_{k=0}^{n-2} k$

Recall the formulas

$\displaystyle \sum_{n=1}^N 1 = N$

$\displaystyle \sum_{n=1}^N n = \frac{N(N+1)}2$

It follows that

$a_n = n (n - 2) - \dfrac{(n-2)(n-1)}2$

$\implies a_n = \dfrac12 n^2 + \dfrac12 n - 1$

$\implies \boxed{a_n = \dfrac{(n+2)(n-1)}2}$

4 0

2 years ago

Which is cheaper? Buying 3 cans of bake beans at 1.50 each or a triple pack for $5

Fiesta28 [93]

Answer:

Buying 3 cans individually.

Step-by-step explanation:

If you bought 3 cans for 1.50 it would be 4.50.

If you bought a triple pack it would be 5 dollars.

So 4.50 is less than 5 dollars.

Hope this helps!

8 0

3 years ago

Read 2 more answers

Deepa has 57. She has 4 times as much money as Gaurav. How much

Readme [11.4K]

Answer:

42.75 dollars more

Step-by-step explanation:

57/4= 14.25

Gaurav has 14.25 dollars

57-14.25=42.75

therefore Deepa has 42.75 more dollars than Gaurav

6 0

3 years ago

Find the lettered angles in each of the following.

trapecia [35]

Answer:

q = 80 degrees

r = 70 degrees

s = 10 degrees

t = 70 degrees

u = 40 degrees

v = 60 degrees

Step-by-step explanation:

starting with the fact that all angles in any triangle always sum up to 180 degrees :

q = 180 - 60 - 40 = 80 degrees

r = 180 - (60+10) - 40 = 180 - 70 - 40 = 70 degrees

the triangle 40-60-q and v-u-blank are similar triangles. your can say the smaller triangle is just a projection of the large triangle through the focal point at angle q.

that means the angles must be equal.

v = 60 degrees

u = 40 degrees

similar for 10-r-blank and t-s-blank.

s = 10 degrees

t = 70 degrees

6 0

3 years ago

Read 2 more answers

HURRY WILL MARK BRAINLIEST

NNADVOKAT [17]

Answer:

A

Step-by-step explanation:

A parabola opening up will have a positive value for the a value in ax^2+bx+c form. Also, the larger the absolute value of the a value, the more narrow the parabola will appear.

Hope this helps!

4 0

3 years ago

Read 2 more answers