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4 years ago

Solve |z-8|=4 a) z=-4, z=4 b) z=-12,z=12 c)z=-12,z=-4 d)z=4, z=12

Mathematics

1 answer:

mylen [45]4 years ago

8 0

Answer:

We have z - 8 = 4 or z - 8 = -4;

Then, z = 12 or z = 4;

The correct answer is d).

Step-by-step explanation:

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: Sam is 12 years older than John. For the last four years, Sam and John have been friends. Five years ago, Sam was 5 times as o

Firlakuza [10]

Answer:

The present age of Sam is 20 years .

Step-by-step explanation:

Given as :

Let The age of John = J years

Let The age of Sam = S years

∵ Sam is 12 years older than John

so, The age of Sam = 12 + The age of John

i.e S = 12 + J .....1

Again

Before 5 years ago

The age of Sam = 5 times age of John

So, (S - 5) = 5 × (J - 5)

Or, S - 5 = 5 J - 25

Or, 5 J - S = 25 - 5

Or, 5 J - S = 20 .........2

Solving eq 1 and eq 2

[5 J - (12 + J)] = 20

Or, 5 J - 12 - J = 20

Or, 4 J = 20 + 12

Or, 4 J = 32

∴ J = $\frac{32}{4}$

i.e J = 8 years

So, The age of John = J = 8 years

Put The value of J into eq 1

∵ S = 12 + J

So, S = 12 + 8

i.e S = 20 years

So, The present age of Sam = S = 20 years .

Hence, The present age of Sam is 20 years . Answer

7 0

4 years ago

Read 2 more answers

Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withd

zysi [14]

Answer:

a) $520

b) $580

c) Interest amount is same each year

Step-by-step explanation:

Given - Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withdrawals.

To find - a) How much money was in the account after one year?

b) How much money was in the account after 4 years?

c) Was the amount of money earned in interest the same or different each year?

Proof -

Here given that,

Principal amount = $500

rate of interest = 4% = 4/100 = 0.04

Now,

Amount = P [ 1 + RT ]

= 500 [ 1 + 0.04(1)]

= 500 [ 1 + 0.04] = 520

⇒Amount = $520

Amount = P [ 1 + RT ]

= 500 [ 1 + 0.04(4)]

= 500 [ 1 + 0.16] = 580

⇒Amount = $580

In 2nd year,

Amount = P [ 1 + RT ]

= 500 [ 1 + 0.04(2)]

= 500 [ 1 + 0.08] = 540

⇒Amount = $540

Now,

Interest in 1st year = 520 - 500 = 20

Interest in 2nd year = 540 - 520 = 20

So,

The interest amount is same each year

3 0

3 years ago

If a frozen yogurt has 75 calories in 2 oz, how many are in 8 oz of yogurt?

irina [24]

Answer:

The answer would be 300 calories

Step-by-step explanation:

To find the amount of calories in 8 ounces we need to make the ounce amount the same. Let x equal the number of calories.

75/2=x

To get to 8 ounces we need to multiply the bottom by 4. and what we do to the bottom we do to the top.

75*4/2*4=x

multiply

300/8=x

There are 300 calories in 8 ounces.

4 0

3 years ago

I don’t know how to do this please helppp

Kitty [74]

Answer:

Given the 2 values, height and the base, of these 2 triangles, we can assume that they are similar (meaning they share the same angles) as we have no other information to determine the height of the tree.

Therefore, if these triangles are similar, their corresponding sides are proportional. In other words, PZ/RT = QZ/ST or RT/PZ=ST/QZ

Hence, if we find the ratio of this, we can use it to find the side h

QZ/ST=PZ/RT

48/12=PZ/4

PZ/4=48/12

(PZ/4)3=48/12

PZ(3)/12=48/12

48/3=16

16=PZ.

3Step-by-step explanation:

7 0

3 years ago

Which of the following is an angle shown in the drawing?

MAVERICK [17]

Answer:

HDE

Is there more than one answer choice?

Step-by-step explanation:

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3 0

3 years ago