5a + 7b - 4 ( 3a + 6) = Hellpppp

If there are nine marbles in a bag and 4 are red and 5 are blue, what is the ratio of red to blue?

lara31 [8.8K]

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

4 0

4 years ago

Read 2 more answers

The ratio of Shauntay's cards to Jessica's cards is 5 to 3. After Shauntay gives Jessica 12 of her cards, both girls have the sa

Zepler [3.9K]

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) $\frac{s}{j}$ = $\frac{5}{3}$

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:

$\frac{j+24}{j}$ = $\frac{5}{3}$

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.

4 0

3 years ago

If tñ=2ñ+3, find S10

Allisa [31]

Answer:

$S_{10}=280$

Step-by-step explanation:

Given that,

$t_n=2n+3$ ...(1)

We need to find the value of $S_{10}$ .

Put n = 1 to find the first term.

$t_1=2(1)+3=5$

Put n = 2 to find the second term.

$t_2=2(2)+3=7$

Put n = 3 to find the third term.

$t_3=2(3)+3=9$

Put n = 10 to find the tenth term.

$t_{10}=2(10)+3=23$

It means we need to find the sum of 5,7,9,.....,23.

The formula for the sum of n terms is given by :

$S_=\dfrac{n}{2}(a+a_n)$

We have, n = 10, a = 5 and $a_n=23$

So,

$S=\dfrac{10}{2}(5+23)\\\\S_{10}=10\times 28\\\\=280$

So, the value of $S_{10}$ is equal to 280.

3 0

3 years ago

What is the smallest integer that can be added to -2m3 − m + m2 + 1 to make it completely divisible by m + 1

tia_tia [17]

When divided by 2 we get perfect square
(2^n * 3^m) / 2 = 2^(n-1) * 3^m is a perfect square 
(n-1) and m are divisible by 2
When divided by 3 we get perfect cube 
(2^n * 3^m) / 3 = 2^n * 3^(m-1) is a perfect cube 
n and (m-1) are divisible by 3
(n-1) divisible by 2 & n divisible by 3 → n = 3 
m divisible by 2 & (m-1) divisible by 3 → m = 4
Number = 2³ * 3⁴ = 648
648/2 = 324 = 18²
648/3 = 216 = 6³
ANSWER: 648

8 0

3 years ago

What would x be equivalent to in this equation? 6 = 20 - x/3

Verizon [17]

<h2>Answer= 42</h2>

Step-by-step explanation:

Greetings !

Given expression

$6 = 20 - \frac{x}{3}$