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stepladder [879]
3 years ago
9

Last year, Columbia County's event hall was used for 27 wedding receptions and 33 anniversary parties. This year it was used for

32 wedding receptions and 45 anniversary parties. During which year was the event hall used for a higher ratio of wedding receptions to anniversary parties?
Mathematics
1 answer:
lora16 [44]3 years ago
5 0

Answer:last year

Step-by-step explanation:

Last year, Columbia County's event hall was used for 27 wedding receptions and 33 anniversary parties. Therefore, the ratio of wedding receptions to anniversary parties last year is 27/33 = 0.82

This year it was used for 32 wedding receptions and 45 anniversary parties. Therefore, the ratio of wedding receptions to anniversary parties this year is 32/45 = 0.71

Therefore last year, the event hall used for a higher ratio of wedding receptions to anniversary parties.

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The radius of circle A is three feet less than twice the diameter of circle B. If the sun mmm of the diameters of both circles i
yanalaym [24]

Answer:

Area of Circle A = 1133.54

Circumference of Circle A= 119.32

Step-by-step explanation:

Given: Sum of both circle diameters= 49 feet.

           Circle A radius= Three feet less than twice the diameter of circle B.

Lets assume diameter of Circle B is "x"

∴ Circle A radius (r)= (2x-3)

We know, the diameter of circle is 2r

Diameter of Circle A is 2\times (2x-3)

Next as given sum of both circle diameter is 49 feet.

∴ 2(2x-3)+x= 49\ feet

distributing 2 with 2x and -3

⇒ 4x-6+x= 49

⇒5x-6= 49

Adding both side by 6

⇒5x=55

Cross multiplying both side.

⇒x=\frac{55}{5} = 11

∴ Diameter of circle B is 11 feet.

Next, subtituting the value of x to get the value of radius for Circle A.

Radius of circle A= (2x-3)

⇒ Radius of circle A= (2\times 11-3)= 22-3

∴ Radius of circle A= 19 feet.

Area of circle= \pi r^{2}

Taking π= 3.14

Area of circle A= 3.14\times 19^{2} = 3.14\times 361

∴ Area of circle A= 1133.54

Circumference of circle= 2πr

Circumference of Circle A= 2\times 3.14\times 19= 119.32

∴ Circumference of Circle A= 119.32

3 0
3 years ago
Read 2 more answers
Write an equation of the line with slope 2/3 that goes through the point -2,5
irinina [24]

Answer:

y = 2/3x + 19/3

Step-by-step explanation:

First, this is your current equation: y = 2/3x + b. Plug in your point to the equation, it should look like this: 5 = 2/3(-2) + b. 2/3 times -2 equals -4/3. So, this is what your equation should look like: 5 = -4/3 + b. Add 4/3 to both sides of the equation to get 19/3 = b. Go back to your original equation and plug 19/3 to b. This is your final equation: y = 2/3x + 19/3. Hope this helped!

7 0
2 years ago
Help me and I’ll give you brainliest
mash [69]

Answer:

124

Step-by-step explanation:

5 0
2 years ago
A motorist traveled 250 miles on 11 gallons of gas. With the same vehicle, about how far could he go on 16 gallons of gas? A) 17
Andrei [34K]
ANSWER

363.6 \: miles
EXPLANATION

We were told that the motorist travelled 250 miles on 11 gallons of gas. This implies that,

250 \: miles \equiv11 \: gallons

Now we want to find how far he could go on 16 gallons.

x \: miles \equiv16 \: gallons


All other things being equal, the motorist should cover more than 250 miles with 16 gallons of gas.

Recall that: If more, less divides.

This implies that,

x =  \frac{250 \times 16}{11}




x =  \frac{4000}{11}   = 363.6 \: miles


Therefore the correct answer is C.

3 0
3 years ago
Natalie was given a 30 question test. For each correct question she answered, she earned 2 points. For every incorrect answer sh
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T<span>he number of questions Natalie answered incorrectly.</span>
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