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Nezavi [6.7K]
4 years ago
11

marianne buys 16 bags of potting soil that comes in 5/8 lb. bags. how many pounds of potting soil foes she has.

Mathematics
1 answer:
andriy [413]4 years ago
8 0
One bag of soil is 5/8 pounds.
you have 16 of them.
just multiply 16 by 5/8.
you could just type it into your calculator, or you could do it the long way:
16 *  \frac{5}{8} \\ \frac{16*5}{8} \\  \frac{8*2*5}{8} \\ 2*5\\10

she has 10 pounds of potting soil.
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Answer:

Slope=−

2.000

1.600

​

=−0.800

x−intercept=

4

15

​

=3.75000

y−intercept=

5

15

​

=3

Step-by-step explanation:

7 0
3 years ago
Evaluate the expression when x = 2, y = 5, and z = 4.
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10y+x²

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5 0
3 years ago
Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha
Brums [2.3K]

Answer:

The length of each side of the city is 250b

Step-by-step explanation:

Given

a = 20 --- tree distance from north gate

b =14 --- movement from south gate

c = 1775 --- movement in west direction from (b)

See attachment for illustration

Required

Find x

To do this, we have:

\triangle ADE \sim \triangle ACB --- similar triangles

So, we have the following equivalent ratios

AE:DE = AB:CB

Where:

AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775

Substitute these in the above equation

20:x/2 = 20 + x + 14: 1775

20:x/2 = x + 34: 1775

Express as fraction

\frac{20}{x/2} = \frac{x + 34}{1775}

\frac{40}{x} = \frac{x + 34}{1775}

Cross multiply

x *(x + 34) = 1775 * 40

Open bracket

x^2 + 34x = 71000

Rewrite as:

x^2 + 34x - 71000 = 0

Expand

x^2 + 284x -250x - 71000 = 0

Factorize

x(x + 284) -250(x + 284)= 0

Factor out x + 284

(x - 250)(x + 284)= 0

Split

x - 250 = 0 \ or\ x + 284= 0

Solve for x

x = 250 \ or\ x =- 284

x can't be negative;

So:

x = 250

6 0
3 years ago
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