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svlad2 [7]
3 years ago
9

Arthur can throw a ball twice as far as Beatrice. Beatrice can throw a ball one-third as far as Cory. Cory can throw a ball twic

e as far as Dominick. What is the ratio of the distance of Arthur's throw to Dominicks throw? Detailed answer please!
Mathematics
1 answer:
sdas [7]3 years ago
3 0

Answer:

A : D

4 : 3

Step-by-step explanation:

We'll use the first letter of their names as the heading for the ratio.

The first line states:

A : B

2 : 1

The second line states:

B : C

1/3 : 1

The third line states:

C : D

2 : 1

We have three different ratios but we know that they are related to one another so we are going to combine them by equating the common ratio of the different ratios.

Let's look at the ratio with a fraction first.

B : C

1/3 : 1

If we ×3 throughout, this can also be written as:

B : C

1 : 3

Now B in the first and second ratio is the same number and we are able to combine them. We can write them all together like this:

A : B : C

2 : 1 : 3

In the third ratio, C is 2, however in the ratio we have now C is 3. We can make them the same number by ×3 throughout the third ratio and ×2 throughout the ratio we have now.

C : D

2 : 1

6 : 3

A : B : C

2 : 1 : 3

4 : 2 : 6

We can see that our ratio for C is the same number and we can now combine the ratios.

A : B : C : D

4 : 2 : 6 : 3

The question asked for A : D so we can take just the values of A and D.

A : D

4 : 3

I hope this helps :)

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zhenek [66]
<h3>Answer:  7</h3>

The list of single digit primes is {2,3,5,7}. The largest prime is 7, so B = 7 is the largest possible value.

Also note how 707,747 rounds to 708,000 when rounding to 3 significant figures.

7 0
3 years ago
Solving Exponential Equations (lacking a common base)<br> 4^x-5=8
avanturin [10]

Answer:

x= 6 1/2 or 6.5

Step-by-step explanation:

4^x-5 =8

2^2(x-5) =2^3

since the base is equal, the powers are equal

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8 0
3 years ago
Read 2 more answers
Can someone help me please?
marishachu [46]
(6x + 30)+(2x+6)= 180
8x +36= 180
8x= 144
X= 18
So 2x+6 = 42
And 6x+30 = 138
8 0
3 years ago
?????????????? So like anyone know this?
Ivanshal [37]
Not sure sorry I’m not good at math need help with something else..
8 0
3 years ago
Please help i need it !!!
Sedbober [7]

Answer:

x=7

Step-by-step explanation:

3 0
3 years ago
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