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Ad libitum [116K]
4 years ago
13

Molly is buying plants and soil for her garden. The soil cost $5 per bag, and the plants cost $10 each. She wants to buy at leas

t 6 plants and can spend no more than $150. Let x = bags of soil and y = plants.
Mathematics
1 answer:
natta225 [31]4 years ago
5 0
6 plants = $60 that leaves $90 to buy soil
Y=$60 on 6 plants
X= $90 on 450 bags of soil
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What can each term of the equation be multiplied by to eliminate the fractions before solving? 1/2 x – 5/4 + 2x =5/6 + x
Karo-lina-s [1.5K]

The <u>equation</u>

\dfrac{1}{2}x-\dfrac{5}{4}+2x=\dfrac{5}{6}+x

consists of five <u>terms</u>, three of them contain <u>fractions.</u> The <u>denominators</u> of these fractions are 2, 4 and 6.

Find the LCM(2,4,6). Since

  • 2=2;
  • 4=2·2;
  • 6=2·3,

then LCM(2,4,6)=2·2·3=12.

Thus, you have to multiply each term of the equation by 12 to eliminate the fractions.

Answer: 12


8 0
4 years ago
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Beth is selling 14 cookies for $35, if she sells 20 cookies how much will she make?
Troyanec [42]

If she sold 20 cookies, she would make $50

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3 years ago
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Sally was standing 30 feet from a tree. The angle of
QveST [7]

Answer: The tree was 27 feet tall

Step-by-step Explanation: First of all Sally was standing 30 feet away from the tree and she looks up at an angle of elevation of 38 degrees to the top of the tree. With this bit of information we can determine that a right angled triangle has been formed with the reference angle as 38 degrees, the side facing it as h (the height of the tree) and the adjacent side as 30. We shall apply the trigonometric ratio as follows;

Tan 38 = opposite/adjacent

Tan 38 = h/30

0.7813 = h/30

0.7813 x 30 = h

23.4 = h

We remember at this point that Sally’s eyes were 4 feet above the ground. What we have just calculated is the height of the tree from “4 feet above the ground” (where her eyes were). Hence the actual height of the tree is calculated as 23.4 plus 4 which gives us 27.4

Therefore the tree was 27 feet tall (approximately to the nearest foot)

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3 years ago
Jackie sold 48 pints of lemonade at her stand. How many quarts of lemonade did she sell? (1 quart = 2 pints)
Rufina [12.5K]
OK.  Since One quart= 2 pints,  divide the number of pints (48) by 2.
48/2=24
24 is the answer for the number of quarts.
7 0
4 years ago
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Can you please help me with this
olga_2 [115]

Answer:

y=-1/2x - 2

Step-by-step explanation:

y2-y1/x2-x1

8 0
3 years ago
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