All categories

3 years ago

There were 2 yellow straws and 3 red how many red in 30

Mathematics

1 answer:

oee [108]3 years ago

4 0

Answer:

30 yellow straws and 45 red straws

30:45

Step-by-step explanation:

Make a ratio:

2:3, 2 being the yellow straw and 3 being the red straws

They are now asking how many red if there are 30 yellow straws

2:3 = 30:x

You could either cross multiply or simply do 30 ÷ 2 = 15 then 15 × 3 = 45. Your answer is 45

<u>Cross </u><u>multiplying</u>

2x = 90

90 ÷ 2 = 45

You might be interested in

Expanded form for 41.32

Anna35 [415]

It is:

40+1+0.3+0.02=41.32

4 0

4 years ago

Read 2 more answers

Find the equation of an exponential function in the form y = ab^x, given the points (0, 3) and (2, 108/25). Please simplify your

lilavasa [31]

We have the equation:

$y=a\cdot b^x$

We know two points and we will use them to calculate the parameters a and b.

The point (0,3) will let us know a, as b^0=1.

$\begin{gathered} y=a\cdot b^x \\ 3=a\cdot b^0=a \\ a=3 \end{gathered}$

Now, we use the point (2, 108/25) to calcualte b:

$\begin{gathered} y=3\cdot b^x \\ \frac{108}{25}=3\cdot b^2 \\ 3\cdot b^2=\frac{108}{25} \\ b^2=\frac{108}{25\cdot3}=\frac{108}{3}\cdot\frac{1}{25}=\frac{36}{25} \\ b=\sqrt[]{\frac{36}{25}} \\ b=\frac{\sqrt[]{36}}{\sqrt[]{25}} \\ b=\frac{6}{5} \end{gathered}$

Then, we can write the equation as:

$y=3\cdot(\frac{6}{5})^x$

5 0

1 year ago

The polynomial of degree 4, P ( x ) has a root of multiplicity 2 at x = 4 and roots of multiplicity 1 at x = 0 and x = − 4 . It

Annette [7]

Answer: P(x) = {(x-4)^2} (x) (x+4)

Step-by-step explanation:

Let's start with the multiplicity of 2;

At multiplicity of 2; x=4.

Therefore, x - 4 is a factor of the function P(x).

Since it has a multiplicity of 2, we will rewrite the factor as (x-4)^2

Now for the multiplicity of 1.

At this multiplicity of 1, x= 0 and - 4.

Therefore, the factors are x-0 and x+4

Since multiplicity of 1, the factors remain as they are without any additional root on top.

Therefore, the factors of the polynomial p(x) are (x-4)^2 and x and x+4.

And solution of P(x) in factor form will be: P(x) = {(x-4)^2} (x) (x+4)

7 0

3 years ago

What is 221,000,000,000,000,000,000 expressed in scientific notation? a.2.21 × 1021 b.2.21E20 c.2.21E21 d.2.21E-20 e.2.21 × 10-2

nekit [7.7K]

Answer:

221,000,000,000,000,000,000 = 2.21 x 10^20

therefore, the answer is b

Step-by-step explanation:

4 0

4 years ago

Read 2 more answers

Muli spent 3/10 of thus salary on flood and 2/3 on rent. He was left with sh. 2100.what was his salary?

Margarita [4]

Step-by-step explanation:

Let the total amount of salary be X, then

3/10X + 2/3X + amount left= his salary(X)

(9X + 20X)/ 30 + 2100 = X

29X/30 - X = -2100

(29X - 30X)/30 = -2100

by cross multiplying

-X = -2100×39

-X = -81900

divide both side by -1

X = 81900.

therefore his salary = 81900

8 0

4 years ago

Read 2 more answers

There were 2 yellow straws and 3 red how many red in 30 ​

There were 2 yellow straws and 3 red how many red in 30