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Delicious77 [7]
3 years ago
15

Brock buys 6 cheap golf balls and 4 expensive ones for $12.50. Dylan buys 4 cheap and 3 expensive golf balls for $9.00 .What are

the prices of the two kinds of golf balls?
Mathematics
1 answer:
lukranit [14]3 years ago
6 0
Expensive > Cheap
(4x) + (6y) = $12.50
(3x) + (4y) = $9.00
Answer ->
Expensive Balls - $2.00
Cheap Balls - $0.75
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What is the equation for a circle with a center at (-2,-4) that passes through the point (3,8)?
Margarita [4]
Check the picture below.

so, the center of the circle is the midpoint of that diametrical segment, and half that length is the radius.

\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ -2 &,& -4~) 
%  (c,d)
&&(~ 3 &,& 8~)
\end{array}\qquad
%   coordinates of midpoint 
\left(\cfrac{ x_2 +  x_1}{2}\quad ,\quad \cfrac{ y_2 +  y_1}{2} \right)
\\\\\\
\left( \cfrac{3-2}{2}~~,~~\cfrac{8-4}{2} \right)\implies \left( \frac{1}{2}~,~2 \right)\impliedby center

\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ -2 &,& -4~) 
%  (c,d)
&&(~ 3 &,& 8~)
\end{array}~~~ 
%  distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
d=\sqrt{[3-(-2)]^2+[8-(-4)]^2}\implies d=\sqrt{(3+2)^2+(8+4)^2}
\\\\\\
d=\sqrt{25+144}\implies d=\sqrt{169}\implies d=13\qquad\qquad \qquad  \stackrel{radius}{\frac{13}{2}}

\bf \textit{equation of a circle}\\\\ 
(x- h)^2+(y- k)^2= r^2
\qquad 
center~~(\stackrel{\frac{1}{2}}{ h},\stackrel{2}{ k})\qquad \qquad 
radius=\stackrel{\frac{13}{2}}{ r}
\\\\\\
\left( x-\frac{1}{2} \right)^2+(y-2)^2=\left( \frac{13}{2} \right)^2\implies \left( x-\frac{1}{2} \right)^2+(y-2)^2=\frac{169}{4}

3 0
3 years ago
Read 2 more answers
Jerry sold 7/20 of the toral number of tickets that we're sold for the spring band concert
Juli2301 [7.4K]

Question is Incomplete;Complete question is given below;

Jerry sold 7/20 of the total number of tickets that were sold for the spring band concert. What percent of the total number of tickets did jerry sell.

Answer:

Jerry sold 35 % of the total tickets.

Step-by-step explanation:

Given:

Jerry sold tickets = \frac{7}{20} of total number of tickets

We need to find the percent of the total number of tickets Jerry sold.

Solution:

to find the percent of the total number of tickets Jerry sold we need to multiply the fraction by 100 we get;

framing in equation form we get;

Percent of the total number of tickets Jerry sold = \frac{7}{20}\times100 = 35\%

Hence Jerry sold 35 % of the total tickets.

5 0
3 years ago
What does "the sum of a number mean"?
baherus [9]

the aggregate of two or more numbers, magnitudes, quantities, or particulars as determined by or as if by the mathematical process of addition: The sum of 6 and 8 is 14. a particular aggregate or total, especially with reference to money: The expenses came to an enormous sum.


4 0
3 years ago
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Please help! The answer isn’t 36! <br> Find the value of the expression:
Brums [2.3K]

Answer:

3.6

Step-by-step explanation:

Hi there!

We are given this expression:

.6√36 (.6*√36)

And we want to find the value of it

.6 can be re-written as 0.6

In that case,

0.6*√36

First, simplify what's under the radical: √36, which is equal to 6 (6*6=36)

The expression then becomes:

0.6*6

Multiply those numbers together

0.6*6=<u>3.6</u>

Hope this helps!

8 0
3 years ago
What is the slope of the line that goes through the points (-4,-1) and (-2, 9)?​
geniusboy [140]

Answer:

2

Step-by-step explanation:

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