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kozerog [31]
3 years ago
9

Ricard lost 6 golf balls while playing yesterday. He bought a box of 12 golf balls ,then lost 4 on the course today . He now has

18 golf balls. How many golf balls did Ricard have to begin with? What is the first step to solving this problem ?
Mathematics
1 answer:
viktelen [127]3 years ago
4 0

16, first you need to add on the four he lost to the 18 he ended with.

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One number is 3 less than 5 times another number. The sum of the numbers is 27. What are the two numbers? Enter your answers in
kaheart [24]

x ,y are the numbers

x = 5y-3

x+y = 27

substitute first equation into the second

(5y-3) +y =27

combine like terms

6y-3=27

add 3 to each side

6y=30

divide by 6

y=5

x = 5y-3

x=5*5-3

x=22

the two numbers are 22 and 5


5 0
3 years ago
Need geometry help ASAP please!
tatiyna

Answer:

1. 121 π  unit²

2. 143°

3. 151 unit²

Step-by-step explanation:

1.

Area of a circle is given by the formula  A = πr²

where

A is the area,

r is the radius of the circle

From the given diagram, we can see that the radius is 11, hence the area will be:

A=\pi r^2\\A=\pi (11)^2\\A=121\pi

The answer is  121\pi units^2

2.

The unshaded secctor and the shaded sector equals the circle. We know that circle is 360°. The unshaded sector has an angle of 217°. So the shaded part will be 360 - 217 = 143°

The measure of the central angle of the shaded sector is 143°

3.

Area of a sector is given by the formula  A=\frac{\theta}{360}*\pi r^2

Where

\theta is the central angle of the sector (in our case it is 143°)

r is the radius (which is 11)

Plugging in all the info into the formula we have:

A=\frac{\theta}{360}*\pi r^2\\A=\frac{143}{360}*\pi (11)^2\\A=150.99

<em>rounding to the nearest whole number, it is </em>151 units^2

3 0
4 years ago
The sum of two numbers is 27. One number is 2 times as large as the other. What are the numbers?
Alex

Answer:

9 and 18

Step-by-step explanation:

x+y=27\\x=2y\\2y+y=27\\3y=27\\y=27/3=9\\x=27-9=18

6 0
2 years ago
Read 2 more answers
Let P be the parabola with focus (0,4) and directrix y=x.Write an equation whose graph is a parabola with a vertical directrix t
prisoha [69]

Answer:

y²=4√2.x

Step-by-step explanation:

The focus is at (0,4) and directrix is y=x or x-y =0, for a parabola P.

The distance between the focus and the directrix of the parabola P is

\frac{ |0-4| }{\sqrt{(1)^{2}+(-1)^{2}  } }=\frac{4}{\sqrt{2} }

{Since the perpendicular distance of a point (x1, y1) from the straight line ax+by+c =0 is given by \frac{ |ax1+by1+c| }{\sqrt{a^{2}+b^{2}  } } }

Let us assume that the equation of the parabola which is congruent with parabola P is y²=4ax

{Since the parabola has vertical directrix}

Hence, the distance between focus and the directrix is 2a = \frac{4}{\sqrt{2} }, {Two parabolas are congruent when the distances between their focus and the directrix are same}

⇒ a=√2

Therefore, the equation of the parabola is y²=4√2.x (Answer)

3 0
3 years ago
Please need help I will be MARKING as BRIANILIST. thank you so much. ​​
dlinn [17]

Answer:

C. Multiply 3 by 18

Step-by-step explanation:

Susan reads:

1 page in 3 mins

So,

1 page = 3 mins

<u><em>If we want the time for 18 pages, we would multiply both sides by 18</em></u>

So,

18 pages = 3×18 mins

18 pages = 54 mins

3 0
3 years ago
Read 2 more answers
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