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3 years ago

If z is directly proportional to x and z=12 when x=3,Find the value of x when z=18 *

Mathematics

1 answer:

miskamm [114]3 years ago

4 0

Answer:

x = 4.5

Step-by-step explanation

When z is 6 that means x is 1.5 which means that when z is 18 then x is 4.5 because we add 3+1.5 which is 4.5

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in planning her retirement, liza deposits some money at 1.5 % interest, with twice as much deposited at 2 %. find the amount

yulyashka [42]

Let us assume $x is deposit at 1.5% interest.

At the rate 2% deposited amount is twice of the amount deposited at 2%.

Therefore, at the rate 2% deposited amount = $2x.

Total interest earned by both different deposited amount at the rate 1.5% and at the rate 2% = $825.

We can setup an eqation now,

Interest earned on $x at 1.5% + interest earned on $2 at 2% = $825.

1.5% of x + 2% of 2x = 825

Percentage could be written in decimals by dividing by 100.

Therefore, 1.5% = 1.5 /100= 0.015 and 2% = 2/100 = 0.02.

We could rewrite above equation as,

0.015*x + 0.02 * 2x = 825

0.015x + 0.04x =825

Adding 0.015x + 0.04x, we get 0.055x.

So, 0.055x=825.

Dividing both sides by 0.055.

0.055x/0.055=825/0.055.

x= $15000.

2x= 2* 15000= $30000

Therefore,

$15000 deposited at 1.5% and $30000 deposited at 2%.

6 0

3 years ago

Which one is greater 140% or 0.14

Ivan

140% because you can convert 0.14 to 14% or u can convert 140% to 1.4.

4 0

3 years ago

A garden has 8 white roses and 11 red roses. One rose is plucked from the garden and then one more rose is plucked without repla

liberstina [14]

P(r/w) is the probability of picking a red rose at first picking and a white rose at second picking.
P(w/r) is the probability of picking a white rose at first picking and a red rose at second picking.

P(r/w) = $\frac{11}{19}$ × $\frac{8}{18}$ = $\frac{88}{342}$
P(w/r) = $\frac{8}{19}$ × $\frac{11}{18}$ = $\frac{88}{342}$

Notice that the second fraction is out of 18 because the second picking of rose will be out of 18 since the first rose is not replaced.

P(r/w) equals to P(w/r)

3 0

4 years ago

Given the following function, find f(−5), f(0), and f(4). f(x)=x2+5

bulgar [2K]

Answer:

30, 5 , 21

Step-by-step explanation:

substitute the values of x into f(x) , then

f(- 5) = (- 5)² + 5 = 25 + 5 = 30

f(0) = 0² + 5 = 0 + 5 = 5

f(4) = 4² + 5 = 16 + 5 = 21

6 0

2 years ago

Need answer please I'm not good at math

Cerrena [4.2K]

Answer:

3rd Option

Step-by-step explanation:

Order of Operations: BPEMDAS

When you are multiplying radicals, you multiply the innards while keeping the square root.

Step 1: Write expression

√5(6 - 4√3)

Step 2: Distribute

6(√5) - 4√3(√5)

Step 3: Simplify/Multiply

6√5 - 4√15

6 0

3 years ago

If z is directly proportional to x and z=12 when x=3,Find the value of x when z=18 *​

If z is directly proportional to x and z=12 when x=3,Find the value of x when z=18 *