Answer:
4:5
Step-by-step explanation:
Since there are nine marbles in the bag, and 4 are red and 5 are blue, then you know that the ratio to red and blue is 4:5
Answer:
They have 48 cards.
Step-by-step explanation:
let s be the number of Shauntay's cards and j be the number of Jessica's cards.
The ratio of Shauntay's cards to Jessica's cards is 5 to 3, then
(1)
=
After Shauntay gives Jessica 12 of her cards, both girls have the same number of cards, then
(2) s-12 =j+12.
From (2), we get s= j+24. If we put j+24 instead of s in (1) we get:
=
3×j+24×3 = 5×j From this we get;
2×j=72 and j=36
After Shauntay gives Jessica 12 of her cards, Shauntay and Jessica would have 48 cards.
Answer:

Step-by-step explanation:
Given that,
...(1)
We need to find the value of
.
Put n = 1 to find the first term.

Put n = 2 to find the second term.

Put n = 3 to find the third term.

Put n = 10 to find the tenth term.

It means we need to find the sum of 5,7,9,.....,23.
The formula for the sum of n terms is given by :

We have, n = 10, a = 5 and 
So,

So, the value of
is equal to 280.
When divided by 2 we get perfect square
<span>(2^n * 3^m) / 2 = 2^(n-1) * 3^m is a perfect square </span>
(n-1) and m are divisible by 2
<span>When divided by 3 we get perfect cube </span>
<span>(2^n * 3^m) / 3 = 2^n * 3^(m-1) is a perfect cube </span>
n and (m-1) are divisible by 3
<span>(n-1) divisible by 2 & n divisible by 3 → n = 3 </span>
<span>m divisible by 2 & (m-1) divisible by 3 → m = 4
</span><span>Number = 2³ * 3⁴ = 648
</span>648/2 = 324 = 18²
<span>648/3 = 216 = 6³
</span>ANSWER: 648
<h2>Answer= <u>42</u></h2>
Step-by-step explanation:
Greetings !
Given expression

Switch sides

subtract 20 from both sides


multiply both sides by 3

simplify

divide both sides by -1.

Hope it helps!