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alexdok [17]
3 years ago
6

Katie has 4 grape candies and 3 cherry candies. The ratio of the mumber of grape candies to the total number of candies is what?

Mathematics
2 answers:
dimaraw [331]3 years ago
6 0

Answer 4:7

Step-by-step explanation:

Vilka [71]3 years ago
4 0
4:7 that might be the answer but I was think 4:3 at first until it said total
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In one year the perseid metor shower had a metor appear every 1/5 5 minutes on average That same year the Leonid metor shower ha
olga55 [171]

In one year, the Perseid meteor shower had a meteor appear every 1 1/5 minutes on average. That same year, the Leonid meteor shower had a meteor appear every 4 2/3 minutes on average. How many more meteors fell during the Perseid meteor shower?

Answer:

325,452 meteors

Step-by-step explanation:

We all know that :

We have 365 days in a year and in each day there are 24 hours, Likewise an hour has 60 minutes

SO, the total number of minutes in a year is :

365 × 24 × 60 = 525600 minutes

For Perseid  meteor:

1 + \frac{1}{5}  \\ \\ = 1 + 0.2 \\  \\ = 1.2

So one meteor fall at 1.2 minutes interval Thus, in a year, we will have :

1 meteor - 1.2 minutes.

x meteor - 525600 minutes.

1.2x = 525600

x = \frac{525600}{1.2}

x = 438000

∴  438,000 meteors fell during the Perseid shower.

For  Leonid meteor shower:

4 + \frac{2}{3} = 4.67

So one meteor fall at 4.67 minutes interval Thus, in a year, we will have :

1 meteor - 4.67 minutes.

x meteors - 525600 minutes.

4.67x = 525600

x = \frac{525600}{4.67}

x = 112548

112,548 meteors fell during the Leonid Shower.

Finally , the numbers of more meteors that  fell during the Perseid meteor shower is calculated by the difference in the number of Perseid meteor shower and Lenoid meteor shower. i.e

438,000 - 112,548 = 325,452

325,452 more meteors fell during the Perseid meteor shower

5 0
3 years ago
Question 10
Bond [772]

Answer:

( x - 2)^2 + ( y - 3)^2 = 34

Step-by-step explanation:

The equation of the circle with a center and a point

( x - a) ^2 + ( y - b) ^2 = r^2

( a, b) - the center of the circle

( x, y) - any point on the circle

r^2 - radius of the circle

( -3 , 6) - point - ( x, y)

x = -3

y = 6

( 2 , 3) - center-( a, b)

a = 2

b = 3

Step 1: substitute the center into the equation

( x - 2)^2 + ( y - 3)^2 = r^2

Step 2: sub the point into the equation

( x - 2)^2 + ( y - 3)^2 = r^2

( -3 - 2)^2 + ( 6 - 3)^2 = r^2

( -5)^2 + 3^2 = r^2

25 + 9 = r^2

34 = r^2

Step 3: sub the radius into the equation

( x - 2)^2 + ( y - 3)^2 = r^2

( x - 2)^2 + ( y - 3)^2 = 34

Therefore, the equation of the circle is

( x - 2)^2 + ( y - 3)^2 = 34

3 0
4 years ago
How many times can 2 go into 12
Anarel [89]

Answer:

6

Step-by-step explanation:

2+2+2+2+2+2=12

6x2=12

6 0
3 years ago
Suppose the length of the base b of a rectangle is increased by 20 percent and the length of the altitude h is increased by 40 p
jek_recluse [69]

9514 1404 393

Answer:

  (a) 1.2b

  (b) 1.4h

  (c) A = 1.68bh

  (d) 68%

Step-by-step explanation:

(a) If 20% of b is added to b, you have ...

  b + 0.20b = 1.2b

__

(b) Similarly, if 40% of h is added to h, you have ...

  1.4h

__

(c) The area of the new rectangle is the product of the new dimensions:

  A = (1.2b)(1.4h)

  A = 1.68bh

__

(d) The original rectangle area is A = bh, so the percentage change can be computed as ...

  (A'/A -1)×100% = ((1.68bh)/(bh) -1)×100% = (1.68 -1)×100% = 68%

The given increases in base and height increase the area by 68%.

5 0
3 years ago
Slope of 3 y- intercept is 5
Kipish [7]
The equation would be y = 3x + 5

Hope this helps! :)
6 0
4 years ago
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