The golf club runs a competition.
The total prize money is shared in the ratio 1st prize:2nd prize = 9: 5.
The 1st prize is $500 more than the 2nd prize.
Calculate the total prize money for the competition.

Answers

Answer 1

Answer:

The total prize money for the competition is $1750

Step-by-step explanation:

Let us solve the question

→ The golf club runs a competition

∵ The total prize money is shared in the ratio 1st prize: 2nd prize = 9: 5

∵ The 1st prize is $500 more than the 2nd prize

The difference between the 1st prize and the second prize = $500

→ Find the difference between the terms of the ratio

The difference in the terms of the ratio = 9 - 5 = 4

→ By using the ratio method

→  1st   :   2nd   :   difference

→  9     :   5       :   4

→  x     :   y        :   500

→ By using the cross multiplication

x × 4 = 9 × 500

∴ 4x = 4500

→ Divide both sides by 4 to find x

x = 1125

The 1st prize is $1125

y × 4 = 5 × 500

∴ 4y = 2500

→ Divide both sides by 4

y = 625

The 2nd prize is $625

The total prize = 1st prize + 2nd prize

∴ The total prize = 1125 + 625

∴ The total prize = 1750

The total prize money for the competition is $1750


Related Questions

Use elimination to solve the system of equations.
2x + 5y = 7
3x + 6y = 3

Answers

Answer:

(-9,5) or x = -9 and y = 5

Step-by-step explanation:

Hope this helps!

Simplify
(6x^2y^-4)^-3

Answers

Answer:

y^12/216x^6

Step-by-step explanation:

First Im distrubiting the powers.

((6^-3)[(x^2)^-3][(y^-4)^-3])

(216^-1)(x^-6)(y^12)

Move the negative exponents

y^12/216x^6

a 100oz bottle costs $2.97 and a 200oz bottle costs $5.78 what is the unit price of each one?

Answers

Answer: BOTTLE 1 =0.0297 BOTTLE 2 =0.0289

Step-by-step explanation:

In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50 km is covered in 5.5 hours, the unit rate will be 50 km/5.5 hours = 9.09 km/hour

bottle 1: $2.97/100 oz = unit rate

bottle 2: $5.78/200 oz=unit rate

BOTTLE 1 =0.0297

BOTTLE 2 =0.0289

Find the value of x.

Answers

Answer:

x=6

Step-by-step explanation:

24=4x

divide both by 4

equals 6

Answer:

to find x we have to find the similarly between the smaller and the larger triangle

the two triangle are similar by side angle side(SAS) similarly therom.

we have to see carefully that the two triangle are similar but not congruent.

Step-by-step explanation:

so the bigger triangle is twice big as the smaller.

so 24/4x =2

8x=24

x=24/8

x=3

100 points! Will mark brainliest! Only answer if you know what it is! Any random answers WILL be reported

Answers

Answer:

Answer : False.

Step-by-step explanation:

Hey there!

The equations of line a and line b are:

line a : y= 5x-6...........(i)

line b : x+5y= 5..........(ii)

Firstly find the slope of both equation.

To find slope of first equation;

y= 5x-6

Comparing the equation with y= mx+c. We get;

Slope (m1) = 5.

Now,

To find slope of second equation;

Slope (m2) = (-coefficient of x)/(coefficient of y)

Slope (m2) = (-1/5)

Therefore, the slope of second equation is -1/5.

As per the condition of parallel lines, slope of 1st equation should be equal to 2nd equation.

Now, comparing their slopes;

5≠(-1/5)

Therefore, the answer is "False".

Hope it helps....

Line A

y=5x-6

Compare to slope intercept form

slope=m=5

LineB

x+5y=55y=5-xy=1-1/5x

Slope

k=-1/5

As slopes are negative reciprocal to each other lines are perpendicular to sach other not parallel

Hence it's False

?????????????????????????????

Answers

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

∠ABC = 60° , ∠BAC = 60° & ∠ACD = x °

[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

Value of x

[tex] \underline{ \sf{∠ACD= ∠ABC\: + \: ∠BAC}}[/tex] { Exterior angle of a triangle is equal to sum of the two non - adjacent interior angles }

[tex] \sf{x \degree = 60 \degree + 60 \degree}[/tex]

[tex] \sf{x \degree = 120 \degree}[/tex]

[tex] \blue{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt x = 120 \degree}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

What type of function is y=2^x +8

Answers

Answer:

y = 2ˣ + 8 represents the exponential function.

The graph of the function y = 2ˣ + 8 is also attached below.

Step-by-step explanation:

We know that the general exponential function is of the form

f(x) = aˣ

were a > 0

Given the function

y = 2ˣ + 8

Comparing with y =  aˣ, it is clear that the function y = 2ˣ + 8 represents the exponential function.

where a = 2

We can also determine the y-intercept of y = 2ˣ + 8 by setting x = 0, and determining the corresponding value of y.

i.e.

y = 2ˣ + 8

y = 2⁰ +8        ∵ 2⁰= 1

y = 1+8

y = 9

Thus, (0, 9) represents the y-intercept of the exponential function y = 2ˣ + 8.

Therefore, y = 2ˣ + 8 represents the exponential function.

The graph of the function y = 2ˣ + 8 is also attached below.

Can somebody help me on this please

Answers

It’s D because since c is to the power of -4 you would move it to the numerator so that it can be to the power of a positive number :)

What is the range of the graph?

Answers

Answer:

y ≥ -1

Step-by-step explanation:

range consists of all y-values contained in the solution set

the lowest y-value (as seen by the graph) is negative 1

please help me !!!!

Flying against the wind , an airplane travels 3660 kilometers in 6 hours. flying with the wind , the same plane travels 3800 kilometers in 4 hours. what is the rate of the plane in still air and what is the rate of the wind?​

Answers

Answer:

...

against the wind, an airplane travels 3640 km in 7 hours.

with the wind, the same plane travels 6000 km in 6hrs.

...

let speed of plane in still air be x mph

speed of wind be y mph.

..

t=d/r

..

against wind speed = x-y mph

with wond speed = x=y mph

...

3640/(x-y)=7

3640 = 7x-7y

/7

520=x-y.....................1

...

6000/x+y = 6

6000 = 6x+6y

/6

1000=x+y.....................2

...

Add (1) & (2)

2x=1520

/2

x=760 mph speed of plane in still air

...

plug value of x in 2

1000=760+y

100-760=y

240 = y

240 mph speed of wind

Help please will give brainliesy

Answers

Answer:

You will select both x = 1 + 5sqrt(2) and x = 1 - 5sqrt(2)

Step-by-step explanation:

Firstly you have to take the square root of both sides to get rid of the exponent. (x - 1)^2 = 50 becomes x - 1 = +- sqrt(50)

Then you simplify the right. x - 1 = +- 5sqrt(2)

The answer is both the positive and negative versions.

What is the probability that you flip a penny 4 times and it lands on tails all four times in a row?
Group of answer choices

1/8


1/16


1/4


1/2


Answers

Answer: 1/8

Step-by-step explanation:

Since flipping a coin once and it landing on tails is 1/2, multiply it by however many times you flip it, and that will be you're answer.

10y + x = -100
can someone help me get Y by it self

Answers

Step-by-step explanation:

10y+x=-100

10y= -100 - x

y= -100 - x/ 10

y= -10 - x/10

MARKING BRAINLIEST!!!!

Answers

Answer:

12

Step-by-step explanation

Anthony downloaded 8 total items onto his phone. The games he purchased were $2.00 each and songs were $1.00. How many of each did he buy after spending $11.00?

Answers

Answer:

he downloaded 9 songs and 1 game

Step-by-step explanation (3x2= 6) (5x1= 5) (3+5= 8) $6.00 + $5.00 = $11.00

so add 3 items to the games that would be $6.00 so 5 items would remain put the rest of those items into the music that would be 5x1 =$5.00. So $6.00+$5.00= $11.00 so the answer is $11.00.

what is the image of the point ( -4, 8) after a rotation of 90° counterclockwise about the origin ​

Answers

Answer:(-8,-4)

Step-by-step explanation:

Find the slope of the line that passes through (9,4) and (4,11)

Answers

-7/5

hope this helps

2x² + 3 × (-x²) + 6x + 2

Answers

Answer:

1x²+5 x 6x

Step-by-step explanation:

help me pleaseee pleaseee

Answers

Answer:

x = 3

m<PAW = 1

Step-by-step explanation:

☆They are supplementary angles.

☆Supplementary angles equal 180 degrees.

[tex]- 11x + 17 3 - 1x + 43 = 180 \\ - 12x + 216 = 180 \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: \: \: - 216 = - 216}{ \frac{ - 12x}{ - 12} = \frac{ - 36}{ - 12} } \\ x = 3[/tex]

☆Plug in for m<AEZ

[tex] - 1(3) + 4 \\ - 3 + 4 \\ 1[/tex]

☆m<PAW is corresponding to m<AEZ

☆Corresponding angles are congruent.

☆m<PAW equals 1.

Simplify 3/100 + 33/100 Correct to
1 decimal place​

Answers

Answer:

9/25 = 0.36

Step-by-step explanation:

CLICK THAT CROWN AND THANK YOU BUTTON

Answer:

9/25 = 0.36

Step-by-step explanation:

!!!!!!!!!!!!!!!! x= and y=

Answers

Answer:

Y=16

X=32

Step-by-step explanation:

ï just know you need to do more meth

Which one!?!?
Help please

Answers

Answer:

Option 1

hope this helped :D


Write down the integer values of x that satisfy the inequality -2 < x _<4

Answers

Those integers are {-1,0,1,2,3,4} (integers in the range -2 and 4)

The integer values of x that satisfy the given inequality are {-2, -1, 0, 1, 2, 3, 4}.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is -2<x≤4.

The integer values of x that satisfy the inequality are

{-2, -1, 0, 1, 2, 3, 4}

Therefore, the integer values of x that satisfy the given inequality are {-2, -1, 0, 1, 2, 3, 4}.

To learn more about the inequalities visit:

https://brainly.com/question/20383699.

#SPJ2

Find the value of x in the shape below.

Answers

Answer:

30 degrees

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

30

Step-by-step explanation:

Help me with this thing thanks anoarefi

Answers

Answer:

1. 8

2. 16

Step-by-step explanation:

8/4=2

64/4=16

Answer:

The answers are

1. x=8

2. x=16

Write the equation for the graph below:
HELP

Answers

help

9/6

what 72 ty76uddjxxjhzh38488

Connor and Nolan collected 183 plastic bottles from the park. Nolan collected twice as many plastic bottles as Connor. Enter the number of plastic bottles that Nolan collected.

Answers

183x2 (twice means two so you multiply Connor’s amount twice to find the answer) so 183x2 equals 366!!!

What would be the answer of QS?

Answers

Answer:

c I guess tell me if I am wrong yall

What is 4-3i minus 6+3i?

Answers

Answer:

-2

Step-by-step explanation:

Can someone help me with this equation
1a+ 6b + 4c +7a =

Answers

Answer:

8a+6b+4c is the right answer

Answer:

=1a+6b+4c+7a

=1a+7a+6b+4c

=8a+6b+4c

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