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sweet [91]
3 years ago
9

Magellan has decided to make party baskets for the fundraiser. Balloons are sold in bags of 20, party horns are sold in bags of

10, and there are 8 candy bars in packages. How many of each should he buy so there ate an equal number of balloons, horns and candy bars in each basket
Mathematics
2 answers:
Pavel [41]3 years ago
8 0
20 x 2=40
10 x 4=40 
8 x 5= 40
 so 2 bags of  balloons 
      4 bags of horns
      5 packages of candy
sweet-ann [11.9K]3 years ago
8 0

Answer:

2 balloon bags

4 horn bags

5 candy bags

Step-by-step explanation:

First,

You need to found the least common multiple for 20 10 and 8

20 10 8| 2

10 5 4| 2

5 5 2| 2

5 5 1| 5

1 1 1

The least common multiple is

2x2x2x5=40

Then,

Divide the least common multiple by 20,10 and 8 (the number of things in each bag).

Ballons:

40/20 = 2 balloons bags

Horns:

40/10 = 4 horns bags

Candies:

40/8 = 5 candy bags

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A circle is centered at the point (-7, -1) and passes through the point (8, 7).
Lisa [10]

Answer:

Part 1) The radius of the circle is 17 units

Part 2) The point (-15,14) and (-15,-16) lies on this circle

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The distance from a circle's center to any point on the circle is called the radius of the circle

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

Find the distance (radius) between the points (-7,-1) and (8,7)

substitute in the formula

r=\sqrt{(7+1)^{2}+(8+7)^{2}}

r=\sqrt{(8)^{2}+(15)^{2}}

r=\sqrt{(289}\ units

r=17\ units

step 2

Find the equation of the circle in center radius form

(x-h)^2+(y-k)^2=r^2

where

(h,k) is the center of the circle

r is the radius of the circle

we have

(h,k)=(-7,-1)\\r=17\ units

substitute

(x+7)^2+(y+1)^2=17^2

(x+7)^2+(y+1)^2=289

Remember that

If the point (-15,y) lie on the circle, then the ordered pair must satisfy the equation of the circle

substitute the value of x=-15 in the equation

(-15+7)^2+(y+1)^2=289

solve for y

(-8)^2+(y+1)^2=289

64+(y+1)^2=289

(y+1)^2=225

take square root both sides

y+1=(+/-)15\\y=-1(+/-)15

y=-1+15=14\\y=-1-15=-16

therefore

The point (-15,14) and (-15,-16) lies on this circle

see the attached figure to better understand the problem

8 0
4 years ago
Somebody please give me the answer (AND DO NOT GIVE ME A DOWNLOAD LINK. I AM NOT RISKING MY COMPUTER FOR JUST A MATH QUESTION.).
lianna [129]

Answer:

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Step-by-step explanation:

7 0
3 years ago
What is the sum of the measures of the interior angles of a 27-gon?
kvv77 [185]

Answer:

To figure out the total measure of the angles for a 27-gon, there is a formula.

n - 2 x 180*      (n is the number of sides, which would be 27)

27 - 2 = 25

25 x 180* = 4500*

The total measure of the angles of a 27-gon is: 4500*

Step-by-step explanation:

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3 years ago
This is the start of a 24-letter sequence. Can you work out what the last three letters will be? ONETWHR
Luba_88 [7]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
In the winter, Grandma Helen knits scarves for her family members. It took her 70 minutes to make a 35-inch-long scarf for her g
melomori [17]

Answer:

100 minutes

Step-by-step explanation:

Set up a proportion where x is the amount of minutes it will take her to make the 50 inch long scarf:

\frac{70}{35} = \frac{x}{50}

Cross multiply and solve for x:

35x = 3500

x = 100

So, it will take her 100 minutes to make Shannon's scarf

7 0
3 years ago
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