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LenaWriter [7]
3 years ago
6

If y varies directly as x and y=50 when x=2, find y when x=6

Mathematics
1 answer:
Andrews [41]3 years ago
7 0

Answer:

150

Step-by-step explanations:

Since, varies directly, and x=6 is 3 times x=2, then 50*3=150

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Pipe A can fill 3 tanks in 8 minutes. Pipe B can fill 5 tanks in 10 minutes. How long will it take for them to fill a single tan
weqwewe [10]

Answer:

8/7 min  = 1 \frac{1}{7}   minutes

Step-by-step explanation:

A rate 2 2/3 = 8/3 min per tank

B rate 2 min per tank

thus:

A rate = 3/8 tank per min

B rate = 1/2 tank per min

A+ B =  3/8 + 4/8 = 7/8 tank per min

7/8 x = 1

x = 8/7 min

 

6 0
3 years ago
$35,000 at 2% for 9 years. ending balance and interest
love history [14]

Answer:

Solution

Here,

Principle(p)=$35000\\Rate(r)=2%\\\\Time(t)=9 years

Now, Interest(I)=\frac{PTR}{100}

                            =\frac{35000*2*9}{100}\\= $3600

6 0
2 years ago
Solve and round answer to nearest hundredth please.
MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

Solve this by using natural logs.  Taking the natural log of both sides:

ln(7*16^{8x-8})=ln(3)

To undo the multiplication, we use addition:

ln(7)+ln(16)^{8x-8}=ln(3)

The rule says we can now bring the exponent down in front of the ln:

ln(7)+(8x-8)ln(16)=ln(3)

Now we will subtract ln(7) from both sides:

(8x - 8)ln(16) = ln(3) - ln(7)

Now we will divide both sides by ln(16):

8x-8=\frac{ln(3)-ln(7)}{ln(16)} then add 8 to both sides:

8x=\frac{ln(3)-ln(7)}{ln(16)}+8 which simplifies to

8x = 7.694401895 so

x = .9618002368 or, rounded,

x = .96

(Rest assured I did the math and checked the answer and it checked out perfectly!)  I recommend you learn the laws of natural and common logs cuz they're kinda important!! :)

5 0
3 years ago
1. (10pts] Let A = {1, 2, 3, 4, 5}, let B = {1,4,5,7,8,9}, and let C = {2, 4, 6, 7,9}. Determine each of the following (a) An Bn
alisha [4.7K]

Answer and explanation:

Given : Let A = {1, 2, 3, 4, 5}, let B = {1,4,5,7,8,9}, and let C = {2, 4, 6, 7,9}.

To find : Determine each of the following,

a) (A\cap B)\cap C

b) (A\cup B)\cap (A\cup C)

c) A - (B\cup C)

d) (A-C) (C-A)

Solution :

The union of two sets is a new set that contains all of the elements that are in at least one of the two sets.

The intersection of two sets is a new set that contains all of the elements that are in both sets.

a) (A\cap B)\cap C

A\cap B=\{1,4,5\}

Then, (A\cap B)\cap C=\{4\}

b) (A\cup B)\cap (A\cup C)

A\cup B=\{1,2,3,4,5,7,8,9\}

A\cup C=\{1,2,3,4,5,7,9\}

(A\cup B)\cap (A\cup C)=\{1,2,3,4,5,7,9\}

c) A - (B\cup C)

B\cup C=\{1,2,4,5,6,7,8,9\}

A - (B\cup C)=\{3\}

d) (A-C) (C-A)

A-C=\{1,3,5\}

C-A=\{6,7,9\}

(A-C) (C-A)=\{1,3,5\}\times\{6,7,9\}

(A-C) (C-A)=\{(1,6),(1,7),(1,9),(3,6),(3,7),(3,9),(5,6),(5,7),(5,9)\}

5 0
3 years ago
[5y]^4 when y= 2 Evaluate the expression
Novay_Z [31]

Answer:

10000

Step-by-step explanation:

Well substitute it

(5*2)^4

now follow order of operations (Parenthesis, exponents, multipication-division left to right, etc.)

5*2=10

10^4=10000

so the answer would be

10000 if y is 2

5 0
3 years ago
Read 2 more answers
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