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serious [3.7K]
3 years ago
7

There is a bag filled with 3 blue and 4 red marbles.

Mathematics
1 answer:
Tasya [4]3 years ago
4 0

Answer:

here

Step-by-step explanation:

The probability of getting 1 red is 4/7. The probability of getting 2 reds in a row is (4/7)^2 = 16/49.

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A wholesale distributor of packaged nuts sells two different mixes of peanuts and cashews, mix A and mix B. Each package of mix
Tom [10]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of packages of mix A nuts and let y represent the number of packages of mix B nuts

Since 8 ounces (oz.) of peanuts is used to produce a package of mix A and 6 ounces (oz.) of peanuts is used to produce a package of mix B. Also, No more than 120 oz. of peanuts can be used each day. This can be represented by the inequality:

8x + 6y ≤ 120             (1)

4 ounces (oz.) of cashew is used to produce a package of mix A and 6 ounces (oz.) of cashew is used to produce a package of mix B. Also, No more than 96 oz. of peanuts can be used each day. This can be represented by the inequality:

4x + 6y ≤ 96            (2)

The inequality from equation 1 and equation 2 is graphed using geogebra online graphing.

If x, y ≥ 0, the solution to the problem is:

(0, 0), (0, 16), (15,0), (6, 12)

8 0
3 years ago
If the exponential model f(x)=9(13)x is written with the base e, it will take the form A0ekx. What is A0 and what is k?
nadezda [96]

9 × 13<em>ˣ</em> = 9 × exp(ln(13<em>ˣ </em>))

… = 9 × exp(<em>x</em> ln(13))

… = <em>A</em>₀ × exp(<em>kx</em>)

so that

<em>A</em>₀ = 9

<em>k</em> = ln(13)

3 0
3 years ago
What is the solution for this system of equations? <br>y= -1/4x + 6<br>y= x+1​
snow_lady [41]

9514 1404 393

Answer:

  (x, y) = (4, 5)

Step-by-step explanation:

Equating the expressions for y gives ...

  -1/4x +6 = x +1

  5 = 5/4x . . . . . . . add 1/4x-1

  4 = x . . . . . . . . . . multiply by 4/5

  y = x +1 = 4 +1

  y = 5

The solution is (x, y) = (4, 5).

3 0
3 years ago
2/3(9a+18b)=6a+kb
bagirrra123 [75]

Answer:

4.) 12

Step-by-step explanation:

\frac{2}{3} (9a + 18b) = 6a + kb \\  \\  \implies \:  \frac{2}{3}  \times 9a +  \frac{2}{3}  \times 18b = 6a + kb \\  \\  \implies \: { 6a} + 12b = 6a + kb \\  \\  \implies \:  \cancel{ 6a} + 12b -  \cancel{ 6a} = kb \\  \\  \implies \:  12b = kb \\  \\ \implies \: k =  \frac{12\cancel b}{\cancel b}  \\  \\ \huge \implies \: k = 12

8 0
3 years ago
What is the sign of the product (3)(−25)(7)(−24)?
german

Answer:

- * - = +

then:

(3)(−25)(7)(−24)

= (3*-25)(7*-24)

= (-75)(-168)

= + 12600

The sign is:

+

6 0
4 years ago
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