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Alex
3 years ago
13

1.The sum of three numbers is twenty. The second number is four times the first and the sum of the first and third is eight. Wha

t are the three numbers?
Mathematics
2 answers:
Mnenie [13.5K]3 years ago
7 0

Answer:

3,12,5

Step-by-step explanation:

sum of three numbers = 20

sum of first and third = 8

second number = sum of three - sum of first and third = 20-8=12

second number = 4* first

first = 12/4 = 3

third = 8-3 = 5

lesya692 [45]3 years ago
5 0

Answer:

Step-by-step explanation:

4x=12

x=12/4

x=3 answer

y=4*3=12 answer.

z=8-3=5 answer.

proof

3+12+5=20

20=20

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The length of a rectangular garden is 2 feet more than twice it's width. If the area is 40 square feet, how much fencing would b
Westkost [7]

Answer:

w =4 ft and l =10 ft

Step-by-step explanation:

Let w = width

l = 2w+2

A = l*w

A = (2w+2)(w)

 40  = (2w+2) w

Distribute

40 = 2w^2 +2w

Subtract 40

0 = 2w^2 +2w - 40

Dividing each side by 2

0 = w^2 +w -20

Factor

0 = (w+5) (w-4)

Using the zero product property

w+5 =0     w-4=0

w= -5  w=4

Since we cant have a negative length

w=4

l = 2w+2 = 2(4)+2 = 8+2 =10

7 0
3 years ago
Tiana would like to buy cone-shaped hats for her birthday party. She wants hats with the largest volume, since they look bigger.
Alexus [3.1K]

Probably the ones that are big..

7 0
3 years ago
Read 2 more answers
A conical paper cup has a radius of 2 inches. Approximate, to the nearest degree, the angle β so that the cone will have a volum
dezoksy [38]
Volume = area of base *height 

20 = pir^2 *h

20 = 3,14*4*h

h = 20/12,56 = 1,59 rounded 1,6

- using the triangle formed by radius,the height of cup and the slant height of cup so we can writing that

tan ß = h/r so tan ß = 1,6/2 = 0,8

tan ß = 0,8 so ß = arctan 0,8 = 38,6 degrees so 39 degrees 

hope helped 
5 0
3 years ago
Pippi sold ten more cups of lemonade that cups of iced tea. She sold 120 cups in all. How many cups of lemonade did she sell?
Kamila [148]

Answer:

65  cups

Step-by-step explanation:

If she sold 10 more cups of lemonade than tea and sold 120 cups total.  I first would subtract 10 cups from 120 =110.  then I divide 110 /2 = 55 cups

The 55 cups makes it equal then I add the 10 cups back to the Lemonade to get 55+10 = 65

So your answer would be 65 cups of lemonade

7 0
3 years ago
A typical sugar cube has an edge length of 1.00 cm. Imagine you have a cubical box that contains a mole of sugar cubes, perfectl
alisha [4.7K]

Answer:

844368.7 m

Step-by-step explanation:

We are given that a typical sugar cube has an edge length of 1.00 cm.

We have to find the edge length of the box in meters.

Edge length of sugar cube=1 cm =10^{-2}m (1 cm=\frac{1}{100}m)

Volume of a sugar cube=side\times side\time side=(10^{-2})^3=10^{-6}m^3

1 mole of sugar=6.02\times 10^{23}units

Volume of 1 unit=10^{-6} m^3

Volume of 6.02\times 10^{23} units=6.02\times10^{23}\times 10^{-6}=6.02\times 10^{17} m^3

Volume of box=1 mole of sugar=6.02\times 10^{17} m^3

Edge length of box=\sqrt[3]{6.02\times 10^{17}}=844368.7 m

6 0
3 years ago
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