All categories

2 years ago

The ratio of coins to notes in a bag is 3 to 8. If there are a total of 24 coins then how many notes are there?

1 answer:

8 0

Set up a proportion
3 coins:8 notes and then the other one 24 coins : x (unknown notes)
they have a relationship so we can set them equal to each other.
3/8=24/x cross multiply: 8 * 24 = 192
Now divide that by 3: 192/3 = 64
So there are 64 notes in the bag

You might be interested in

Write these expressions in exponential form:

Crazy boy [7]

1. 10^5

2. z^5*x^3*y^2

3. 1

3 0

2 years ago

Find the area of the polygon.

nignag [31]

Answer:

35 sq units

Step-by-step explanation:

4 0

2 years ago

Simplify the following expression as much as you can use exponential properties. (6^-2)(3^-3)(3*6)^4

gtnhenbr [62]

Answer:

Simplifying the expression $(6^{-2})(3^{-3})(3*6)^4$ we get $\mathbf{108}$

Step-by-step explanation:

We need to simplify the expression $(6^{-2})(3^{-3})(3*6)^4$

Solving:

$(6^{-2})(3^{-3})(3*6)^4$

Applying exponent rule: $a^{-m}=\frac{1}{a^m}$

$=\frac{1}{(6^{2})}\frac{1}{(3^{3})}(18)^4\\=\frac{(18)^4}{6^{2}\:.\:3^{3}} \\$

Factors of $18=2\times 3\times 3=2\times3^2$

Factors of $6=2\times 3$

Replacing terms with factors

$=\frac{(2\times3^2)^4}{(2\times 3)^{2}\:.\:3^{3}} \\=\frac{(2)^4\times(3^2)^4}{(2)^2\times (3)^{2}\:.\:3^{3}} \\$

Using exponent rule: $(a^m)^n=a^{m\times n}$

$=\frac{(2)^4\times(3)^8}{(2)^2\times (3)^{2}\:.\:3^{3}} \\=\frac{2^4\times 3^8}{2^2\times 3^{2}\:.\:3^{3}}$

Using exponent rule: $a^m.a^n=a^{m+n}$

$=\frac{2^4\times 3^8}{2^2\times 3^{2+3}}\\=\frac{2^4\times 3^8}{2^2\times 3^{5}}$

Now using exponent rule: $\frac{a^m}{a^n}=a^{m-n}$

$=2^{4-2}\times 3^{8-5}\\=2^{2}\times 3^{3}\\=4\times 27\\=108$

So, simplifying the expression $(6^{-2})(3^{-3})(3*6)^4$ we get $\mathbf{108}$

7 0

2 years ago

Express the relation {(-3, 4), (-1, 2), (3, -4), (2, -2)} as a table and a graph. What is the domain and range?

LuckyWell [14K]

Answer:

help

Step-by-step explanation:

please help please help please help please help please help first to asnwer gets brainleyist

2. Find the area of the parallelogram.

A.38cm

B.60cm

C.70cm

D.186cm

4 0

2 years ago

Read 2 more answers

In triangle ABC, medians AD, BF, and CE intersect at G. What is the length of GE is CH=12?

sashaice [31]

You do not have any point labeled "H" in your diagram.

What I can tell you is that point "G" (where all 3 medians meet) is called a centroid.

Along each median:
the distance from EACH vertex to the centroid (point G) is TWICE the distance from the centroid to the side.
CG = 2*GE AG = 2*GD BG = 2*GF

6 0

2 years ago