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miv72 [106K]
3 years ago
9

Megan has 62 rocks in her rock collection. She wants to put 2 rocks in some cases and 11 rocks in other cases. Select a possible

arrangement of rocks. A. Have 4 cases of 2 rocks, and 9 cases of 11 rocks. B. Have 9 cases of 2 rocks, and 4 cases of 11 rocks. C. Have 9 cases of 2 rocks, and 1 case of 11 rocks. D. Have 1 case of 2 rocks, and 4 cases of 11 rocks.
Mathematics
1 answer:
max2010maxim [7]3 years ago
8 0

Answer:. B. Have 9 cases of 2 rocks, and 4 cases of 11 rocks

Step-by-step explanation:

Total rocks = 62

A. Have 4 cases of 2 rocks, and 9 cases of 11 rocks

(4 * 2) + (9 * 11) > 62 ( false)

B. Have 9 cases of 2 rocks, and 4 cases of 11 rocks

(9 * 2) + (4 * 11) = 18 + 44 = 62 rocks (true)

C. Have 9 cases of 2 rocks, and 1 case of 11 rocks

(9 * 2). + (1 * 11) < 62 ( false)

D. Have 1 case of 2 rocks, and 4 cases of 11 rocks.

(1 * 2) + (4 * 11) < 62

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If y varies directly as x and x=2 when y=−4, find y when x=−6.
kakasveta [241]

Answer:

Equation: x × -2 = y

Solution: y = 12

Step-by-step explanation:

if (x = 2) is (y = -4) then (x = 1) is (y = -2) so if (x = -6) is (y = 12) if we follow the equation [x × -2 = y] which was found using the first set of variables and dividing each by 2.

4 0
3 years ago
Department s had 500 units 60% completed in process at the beginning of the period; 9,000 units completed during the period; and
Delicious77 [7]

With the concept of first in, first out method, then we can use the formula below to solve for the number of equivalent units of production for that period.

 

number of equivalent units of production

= Total number of units completed during that period (A) – Number of units completed in process at the beginning of the period (B) + Number of units completed at the end of the period (C)

= A – B + C

We know that,

A = 9000 units

So we solve for B and C.

B is 60% of the 500 units, therefore:

B = 0.60 * 500 = 300

C is 30% of the 600 units, therefore:

C = 0.30 * 600 = 180

 

Substituting the values into the equation:

number of equivalent units of production  = 9000 – 300 + 180

number of equivalent units of production  = 8880 units

 

Answer:

A. 8880

3 0
3 years ago
In the expansion (ax+by)^7, the coefficients of the first two terms are 128 and -224, respectively. Find the values of a and b
madam [21]

Answer:

a = 2, b = 3.5

Step-by-step explanation:

Expanding (ax+by)^7 using Binomial expansion, we have that:

(ax+by)^7 =

(ax)^7(by)^0 + (ax)^6(by)^1 + (ax)^5(by)^2 + (ax)^4(by)^3 + (ax)^3(by)^4 + (ax)^2(by)^5 + (ax)^1(by)^6 + (ax)^0(by)^7

= (a)^7(x)^7+ (a)^6(x)^6(b)(y) + (a)^5(x)^5(b)^2(y)^2 + (a)^4(x)^4(b)^3(y)^3 + (a)^3(x)^3(b)^4(y)^4 + (a)^2(x)^2(b)^5(y)^5 + (a)(x)(b)^6(y)^6 + (b)^7(y)^7\\\\\\= (a)^7(x)^7+ (a)^6(b)(x)^6(y) + (a)^5(b)^2(x)^5(y)^2 + (a)^4(b)^3(x)^4(y)^3 + (a)^3(b)^4(x)^3(y)^4 + (a)^2(b)^5(x)^2(y)^5 + (a)(b)^6(x)(y)^6 + (b)^7(y)^7

We have that the coefficients of the first two terms are 128 and -224.

For the first term:

=> a^7 = 128

=> a = \sqrt[7]{128}\\ \\\\a = 2

For the second term:

a^6b = -224

b = \frac{-224}{a^6}

b = \frac{-224}{2^6} \\\\\\b = \frac{-224}{64} \\\\\\b = 3.5

Therefore, a = 2, b = 3.5

5 0
2 years ago
Answer: Alex is making a clock to give to his grandfather. To make the clock, he saws a slice of wood from a cylindrical log. Wh
ss7ja [257]
It would be circular since it was cut from a cylindrical log.

Hope This Helps You!
Good Luck Studying :)
7 0
2 years ago
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igor_vitrenko [27]

Answer:

200 X 5 = 1000 square feet

Step-by-step explanation:

V = L x W x H

4 0
2 years ago
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