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1 year ago

Cd+(-6c)=150 when d=4

Mathematics

1 answer:

Blizzard [7]1 year ago

3 0

Answer:

c = -75

Step-by-step explanation:

cd + (-6c) = 150

d = 4

c(4) + (-6c) = 150

4c - 6c = 150

-2c = 150

c = -75

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Find the volume of the composite figure below.

worty [1.4K]

Answer:

Volume of composit figure= 4834.14 cm^3

Step-by-step explanation:

here's your solution

=> Radius of hemisphere = 9 cm

==> volume of hemisphere = 2/3πr^3

==> volume of hemisphere = 2/3*22/7* 9^3

==> volume = 1526.04 cm^3

=> Radius of cylinder = 9 cm

=> Height of cylinder = 13 cm

==> volume of cylinder = πr^2h

==> volume of cylinder = 22/7*9^2*13

==> volume of cylinder = 3,308.1 cm^3

Volume of composit figure = 1526.04 + 3308.1

= 4834.14 cm^3

hope it helps

7 0

2 years ago

In the problem below, AB, CD, and EF are two-digit numbers, where A, B, C, D, E and F represent distinct digits from 1 to 9. Is

Oksi-84 [34.3K]

Answer:

<em>When both the conditions hold true, F is prime.</em>

Step-by-step explanation:

AB, CD, and EF are two-digit numbers, where A, B, C, D, E and F represent distinct digits from 1 to 9.

+ CD

--------

1st condition, B and D are consecutive.

Adding B and D gives us F.

Possible values can be (F being the unit value after adding not considering the carry over):

B + D = F

1+2=3

2+3=5

3+4=7

4+5=9

5+6=1

6+7=3

7+8=5

8+9=7

Here F is not prime (because 9 is not prime).

Now, let us consider the 2nd condition as well.

i.e. C = 8

For the following

+ CD

--------

C is 8 then A must be 1 because any value other than 1 for A will make the sum of A and C greater than 9 and there will be a carry which is not the case here.

So, E = 8 + 1 = 9

Now, B and D are consecutive and can not be 1, 8 or 9.

So, possible values are:

B + D = F

2 + 3 = 5

3 + 4 = 7

Here F is prime.

So, when both the conditions hold true, F is prime.

3 0

3 years ago

A point $(x, y)$ with integer coordinates is randomly selected such that $0 \le x \le 8$ and $0 \le y \le 4$. what is the probab

ahrayia [7]

Answer:

$\frac{1}{3}$

Step-by-step explanation:

A point (x, y) with integer coordinates is randomly selected such that $0 \le x \le 8 \:and\: $0 \le y \le 4$.$

The possible pairs of (x,y) are:

(0,0),(0,1),(0,2),(0,3),(0,4)

(1,0),(1,1),(1,2),(1,3),(1,4)

(2,0),(2,1),(2,2),(2,3),(2,4)

(3,0),(3,1),(3,2),(3,3),(3,4)

(4,0),(4,1),(4,2),(4,3),(4,4)

(5,0),(5,1),(5,2),(5,3),(5,4)

(6,0),(6,1),(6,2),(6,3),(6,4)

(7,0),(7,1),(7,2),(7,3),(7,4)

(8,0),(8,1),(8,2),(8,3),(8,4)

The Total Possible Outcomes n(S)= 45

The pair (x, y) that satisfies the given condition (say event A: $x + y \le 4$ ) are:

$(0,0),(0,1),(0,2),(0,3),(0,4)\\(1,0),(1,1),(1,2),(1,3)\\(2,0),(2,1),(2,2)\\(3,0),(3,1)\\(4,0)$

n(A)=15

Therefore:

$P(A)=\frac{n(A)}{n(S)} =\frac{15}{45} =\frac{1}{3}$

5 0

3 years ago

How much 50% sugar syrp shoud you add to 20 quarts of 20% syrup to make it 40%

butalik [34]

Answer:

reduce 10 qauts of 50%

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

How to create every number from 1-50 and I you could only use numbers 1,2,3,4

sergey [27]

1, 2, 3, 4, 1+4, 2+4, 3+4, 4+4, 4+4+1, 4+4+2, 11, 12, 13, 14, 14+1, 14+2, 14+3, 14+4, 14+4+1, 14+4+2, 21, 22, 23, 24, 24+1, 24+2, 24+3, 24+4, 24+4+1, 24+4+2, 31, 32, 33, 34, 34+1, 34+2, 34+3, 34+4, 34+4+1, 34+4+2 ,41,42, 43, 44, 44+1, 44+2, 44+3, 44+4, 44+4+1, 44+4+2

3 0

3 years ago