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Diano4ka-milaya [45]
3 years ago
8

Find the slope of the line. Write in simplest form Show your work

Mathematics
1 answer:
Marina86 [1]3 years ago
6 0

Answer:

The slope is -2.

Step-by-step explanation:

Following the line starting at the x intercept, move down 2 over right 1.

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Sanyo bought shoes for $35.65 and x pairs of socks for $1.85 each. Which expression shows the total money spent?
love history [14]
The answer is C)  35.65 + 1.85x. Hope this helps...
6 0
3 years ago
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at a school there are 10 students taking only chemistry, 9 students taking only physics 5 students taking both, and 16 students
sveticcg [70]

Answer:

If there are 10 students taking only chemistry, 9 students taking only physics, and 5 students only taking both chemisty and 16 students are taking neither; I would add 10+9+5+16=40 (total students) and divide 10/40 (25% chemistry) 9/40 (22.5% physics) 5/40 (12.5% both) 16/40 (40% neither)

Step-by-step explanation:

1. Determine a single event with a single outcome.

2. Identify the total number of outcomes that can occur.

3. Divide the number of events by the number of possible outcomes.

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3 years ago
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To make fruit punch for a party, we need 4 1⁄2 gallons of ginger ale, 1 gallon of strawberry juice, 2 3⁄4 gallons of frozen oran
lina2011 [118]

For this case we convert the mixed numbers to fractions:

4 \frac {1} {2} = \frac {2 * 4 + 1} {2} = \frac {9} {2}\\2 \frac {3} {4} = \frac {4 * 2 + 3} {4} = \frac {11} {4}

Now we add the fractions:

\frac{9} {2}+1+ \frac {11} {4} + \frac {1} {8} =

We find the least common multiple of the denominators. The l.c.m is 8, then we divide by each denominator and multiply the result by each numerator.

\frac {36 + 8 + 22 + 1} {8} =\\\frac {67} {8} =

8,375

Thus, the punch recipe implies 8.375 gallons. If we convert to a mixed number we have:

8 \frac {3} {8} gallons

Answer:

8 \frac {3} {8}gallons

4 0
3 years ago
From a thin piece of cardboard 30 in. by 30 in., square corners are cut out so that the sides can be folded up to make a box. Wh
Brilliant_brown [7]

Answer:

Dimensions 5in x 10in x 10in will yeild a box with a max. volume of  500 cubic inches

Step-by-step explanation:

Volume =  height x length x width

considering 'x' as the length of the square corners that has been cut out from the cardboard and also, that is height of the cardboard box.

square corners are cut out so that the sides can be folded up to make a box, cardboard sides would reduce by 2x

therefore,

V = x  (30-2x) (30-2x) ---> eq(1)

V=( 30x - 2x²) (30-2x)

V= 900x- 60x² - 60x² + 4x³

V=  4x³ - 120 x²+ 900x

Taking derivative w.r.t 'x'

dV/dx = 12x² - 240 x +900

dV/dx = 4 (3x² - 60x +225)

For maximum dV/dx, make it equal zero

dV/dx = 0

so,  4 (3x² - 60x +225)=0

3x² - 60x+225=0   (taking 3 common)

x² - 20x + 75 =0

Solving this quadratic equation

x² - 15x -5x + 75 =0

x(x-15) - 5(x-15) =0

Either (x-15)=0

x=15

Or x-5=0

x = 5

if we substitute x=15 in eq(1), volume becomes zero.

therefore, x cannot be 15

When x= 5

eq(1)=>V = 5  (30-2(5)) (30-2(5))

V= 5 (10) (10)

V= 500 cubic inches,

Therefore, Dimensions 5in x 10in x 10in will yeild a box with a max. volume of  500 cubic inches

7 0
3 years ago
Two adjacent supplementary angles form a
Sedbober [7]
Obtuse because it all adds up to 180 degrees <span />
4 0
3 years ago
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