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3 years ago

8. AI, Bob, Carol, and Diane shared a $1000 prize. Bob got twice as much as AI,

Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

6 0

Answer:

Al got 150 dollars

Step-by-step explanation:

If we know for certain that Diane receives 100 dollars, than there is 900 left. If Al gets 150, then Bob, getting twice as much, would receive 300, and carol who gets three times as much would get 450. So 450+150+100+300=1000$

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3. Find a in the given figure.

Anvisha [2.4K]

Answer:

Step-by-step explanation:

Angles a and b are opposite, so they are equal. The same is true for angles O and 3b.

So, the four angles are actually (starting from the left and going clockwise) 3b,b,3b,b

These four angles sum up to 360, so we have

$3b+b+3b+b =8b = 360 \iff b = \dfrac{360}{8} = 45$

And since a and b were the same, a is also 45 degrees.

3 0

3 years ago

WILL GIVE BRAINLIEST b. Describe the function over each part of its domain. State whether it is constant, increasing, or decreas

True [87]

Answer:

When x <= 8000

The cost remains constant at 0.35 when x increases from 0 to 8000

The slope of cost function over this part is 0

When 8000 < x <= 20000

The cost remains constant at 0.75 when x increases from 8000 to 20000

The slope of cost function over this part is 0

When 20000 < x <= 42000

The cost decreases when x increases from 20000 to 42000

The slope of cost function

$m = \frac{y2 - y1}{x2 - x1} \\ = \frac{(0.83 - \frac{40000}{200000}) - (0.83 - \frac{20000}{200000})}{40000 - 20000}$

m= -5 × 10^-6

5 0

3 years ago

Inga lives 3 miles more than twice as far from school as brent does . If Brent lives (b) miles from school, then inga lives _? m

finlep [7]

Brent lives b miles from the school.
Inga lives 3 miles more then twice as far as Brent.
2b + 3.

Inga lives (2b + 3) miles from school.

5 0

3 years ago

Pls help me solve this

sammy [17]

Answer:

4 kg of sugar would contain $1.2 \times 10^9$ crystals.

Step-by-step explanation:

Given that 3kg of sugar contains 9 × 10⁸ crystals, let "x" represent the number of sugar crystals 4kg of sugar would contain.

Thus, set up a proportion as follows:

3 kg : 9 × 10⁸ = 4 kg : x

$\frac{3}{9 \times 10^8} = \frac{4}{x}$

Solve for x. Cross multiply.

$3 \times x = 9 \times 10^8 \times 4$

$3x = 36 \times 10^8$

$3x = 3.6 \times 10^9$

Divide both sides by 3

$\frac{3x}{3} = \frac{3.6 \times 10^9}{3}$

$x = 1.2 \times 10^9$

4 kg of sugar would contain $1.2 \times 10^9$ crystals.

5 0

3 years ago

Pls help me on this one

Kisachek [45]

Answer:

The first option.

Step-by-step explanation:

When graphing inequalities on a number line, a solid circle indicates that the number is part of the solution, while an open circle does not count that number as part of the solution.

Drawing a line to the left of the circle means that the solution includes values less than the circled number. Drawing a line to the right means that the included values are greater than the circled number.

I hope this helped :)

4 0

3 years ago