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3 years ago

Determine whether the ratios are equivalent. 3:8 and 9: 24. are they equivalent or not?

Mathematics

1 answer:

Simora [160]3 years ago

8 0

Answer:

Yes, they are equivalent.

Step-by-step explanation:

9 / 3 = 3

24 / 3 = 8

3:8 is just the simplified version of 9:24. This is due to 9:24 being divided by three, becoming 3:8.

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A florist arranges 4 flower arrangements in 92 minutes.

Black_prince [1.1K]

Answer:

$\boxed {\boxed {\sf 9 \ arrangements }}$

Step-by-step explanation:

Let's set up a proportion using the following setup:

$\frac{arrangements}{minutes} =\frac{arrangements}{minutes}$

We know that the florist can arrange 4 in 92 minutes.

$\frac{4 \ arrangements}{92 \ minutes} = \frac{arrangements}{minutes}$

We don't know how many the florist can arrange in 207 minutes, so we say x arrangements can be completed in 207 minutes.

$\frac{4 \ arrangements}{92 \ minutes} = \frac{ x \ arrangements}{ 207 \ minutes}$

$\frac{4}{92} =\frac{x}{207}$

Solve for x by isolating it on one side of the proportion.

x is being divided by 207. The inverse of division is multiplication. Multiply both sides of the proportion by 207.

$207*\frac{4}{92}=\frac{x}{207}*207$

$207*\frac{4}{92}=x$

$207*0.0434782609=x$

$9=x$

The florist can arrange <u>9 arrangements</u> in 207 minutes.

5 0

3 years ago

In order to apply the law of sines to find the length of the side of a triangle, it is enough to know which of the following?

larisa86 [58]

Answer:

We must have two angles and a side.

A is the correct option.

Step-by-step explanation:

For any triangle ABC, the law of sine is given by

$\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$

From this formula it is clear that in order to find the length of the side of the triangle, we must have two angles and a side.

Let us understand this by assuming that we need to find a (length of the side). From the formula, we have

$\frac{a}{\sin A}=\frac{b}{\sin B}\\\\a=\frac{b\sin A}{\sin B}$

Thus, to find the length a, we must have b, sin A and sin B.

Hence, o find the length of the side of the triangle, we must have two angles and a side.

3 0

4 years ago

Read 2 more answers

masha68 [24]

Answer: Um It’s C?

Step-by-step explanation:

8 0

3 years ago

What is the solution for the system of equations?

Arte-miy333 [17]

The solution is at what point the two lines intersect.
Plug y into the other equation to get: 5x-4(5-3x)=-3
Multiply it out: 5x+12x-20=-3
Combine like terms and add 20 to both sides: 17x=17
Divide both sides by 17: x=1
Now plug the x value back into any equation to get the y value.
So you get y=5-3(1) --> y=2
The solution is (1, 2)

8 0

4 years ago

Function or not a Function

Vadim26 [7]

Answer:

Function; Not a function

Step-by-step explanation:

Write the ordered pair in the first set (x, y): (1, 11), (2, 7) , (3, 2)

Write the ordered pair in the second set (x, y): (1, 3), (1, 4), (2, 4) , (3, 2)

The first set in a function because no ordered pair has the same x value.

The second set in not a function because the x value is the same in two of the ordered pairs.

5 0

2 years ago

Determine whether the ratios are equivalent. 3:8 and 9: 24. are they equivalent or not?​

Determine whether the ratios are equivalent. 3:8 and 9: 24. are they equivalent or not?