All categories

3 years ago

Samantha has chocolate bars and lollipops in the the ratio 4:5. If she has 12 chocolate bars,how many lollipops does she have?

Mathematics

1 answer:

labwork [276]3 years ago

8 0

4 • 3 = 12
5 • 3 = 15
she has 15 lollipops

You might be interested in

Which fraction is equivalent to -3/2?

mel-nik [20]

3/-2 so the first option

5 0

2 years ago

Read 2 more answers

Using the slope formula, find the slope of the line through the given points.<br> (6,3) and (8,9)

Charra [1.4K]

Answer:

no noooooooooooooooooooooooooooooooooooooooooooooooooooooo

Step-by-step explanation:

8 0

3 years ago

Which inequality hs the graph shown below. (will mark you brainliest)

zvonat [6]

Answer:

y < 2x-3

Step-by-step explanation:

First you graph the -3, and the slope is 2 so you go up 2 and over 1. Since y is less than 2x-3, you shade the right region.

6 0

3 years ago

For the following telescoping series, find a formula for the nth term of the sequence of partial sums

gtnhenbr [62]

I'm guessing the sum is supposed to be

$\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}$

Split the summand into partial fractions:

$\dfrac1{(5k-1)(5k+4)}=\dfrac a{5k-1}+\dfrac b{5k+4}$

$1=a(5k+4)+b(5k-1)$

If $k=-\frac45$ , then

$1=b(-4-1)\implies b=-\frac15$

If $k=\frac15$ , then

$1=a(1+4)\implies a=\frac15$

This means

$\dfrac{10}{(5k-1)(5k+4)}=\dfrac2{5k-1}-\dfrac2{5k+4}$

Consider the $n$ th partial sum of the series:

$S_n=2\left(\dfrac14-\dfrac19\right)+2\left(\dfrac19-\dfrac1{14}\right)+2\left(\dfrac1{14}-\dfrac1{19}\right)+\cdots+2\left(\dfrac1{5n-1}-\dfrac1{5n+4}\right)$

The sum telescopes so that

$S_n=\dfrac2{14}-\dfrac2{5n+4}$

and as $n\to\infty$ , the second term vanishes and leaves us with

$\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}=\lim_{n\to\infty}S_n=\frac17$

7 0

3 years ago

Exercises<br>Determine the point of Intersection of the two lines.<br>y= x + 3<br>y= 2x + 1

GuDViN [60]

Answer:

(2,5)

Step-by-step explanation:

5 0

3 years ago