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navik [9.2K]
3 years ago
10

Yuan makes punch by mixing cranberry juice and pineapple juice. For every 3 cups of punch, he uses 2 cups of cranberry juice. Dr

ag the correct number of each type of juice into the box that would make 15 cups of Yuan's punch. CLEARCHECK Draggable item Draggable item
Mathematics
1 answer:
Aleks [24]3 years ago
6 0

Answer:

10 cups of canberry juice

Step-by-step explanation:

Given that  for every 3 cups of punch, he uses 2 cups of cranberry juice.

we need to find the number of canberry juice needed to make 15 cups of punch

3 cup's of punch ---> 2 cups of canberry juice

15 cups's of punch ----> x cups of canberry juice

on cross multiplication we get

3\times x=15\times2

x = 10

Therefore we need 10 cups of canberry juice

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Find the x and y intercepts of the graph of the linear equation 3x+6y=24
steposvetlana [31]

Answer:

x =(0,6) y=(0,8)

Step-by-step explanation:

3x+6y=24

make x =0

3(0)+6y=24

6y=24

y=6      x=0

8 0
3 years ago
Which binomial is a factor of49x^2+84xy+36y^2
Alex17521 [72]

Answer:

(7 x + 6 y)^2

Step-by-step explanation:

Factor the following:

49 x^2 + 84 x y + 36 y^2

The coefficient of x^2 is 49 and the coefficient of y^2 is 36. The product of 49 and 36 is 1764. The factors of 1764 which sum to 84 are 42 and 42. So 49 x^2 + 84 x y + 36 y^2 = 49 x^2 + 42 x y + 42 x y + 36 y^2 = 7 x (7 x + 6 y) + 6 y (7 x + 6 y):

7 x (7 x + 6 y) + 6 y (7 x + 6 y)

Factor 7 x + 6 y from 7 x (7 x + 6 y) + 6 y (7 x + 6 y):

(7 x + 6 y) (7 x + 6 y)

(7 x + 6 y) (7 x + 6 y) = (7 x + 6 y)^2:

Answer: (7 x + 6 y)^2

3 0
3 years ago
Roberto wants to display his 18 sports cards in an album . Some pages hold 2 cards and others hold 3 cards .
nexus9112 [7]

Answer:

Step-by-step explanation:

Assuming Roberto wants to completely fill each page that he puts cards in, this function describes the number of 2-card pages, a, and 3-card pages, b.

2a + 3b =18

Ricardo can fill up 9 2-card pages, and 6 3-card pages.

a=9, b=0

We must add 2 3-card pages at a time,so that we have an even number for the 2-card pages:

a=6, b=2

Add 2 to b once more:

a=3, b=4

One more time:

a=0, b=6:

Thus, Ricardo can display his figures in the following page combinations:

a=9, b=0

a=6, b=2

a=3, b=4

a=0, b=6

Remember that a= number of 2-card pages and b=number of 3-card pages

There are 4 different ways that Ricardo can arrange his figures in terms of what kind of pages he uses. 

3 0
3 years ago
A shopkeeper buys a dress for $40
DanielleElmas [232]

Answer:

48 - 40 = $8, there is a $8 dollar increase.

Formula for change of percentage;

changed price

___________ x 100% (100/100)

original amount

Replace those values with the values we found;

40/48 x 100/100 = 20% increase.

4 0
2 years ago
Pythagorean Theorem POSSIBLE POINTS : 13:33 Two joggers run 12 miles north and then 8 miles west. What is the shortest distance
ivann1987 [24]

Answer:

14.4 miles

Step-by-step explanation:

Given that :

Distance moved North = 12 miles

Distance moved West = 8 miles

Shortest distance to reach starting point :

Let shortest distance to reach starting point = d miles

Using the relation :

Longest side of a right angled triangle:

d = sqrt(8^2 + 12^2)

d = sqrt(64 + 144)

d = sqrt(208)

d = 14.422205

d = 14.4 miles (nearest tenth of a mile)

4 0
3 years ago
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