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3 years ago

a man spends 1/3 of his wages on food, 1/5 on rent. if he saved the rest what fraction of his wage did he save?

Mathematics

1 answer:

Lynna [10]3 years ago

8 0

Total wages = 1
Food = 1/3
Rent = 1/5
Savings = total wages - food - rent
= 1 - 1/3 - 1/5
= 15/15 - 5/15 - 3/15
= 7/15

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aura, brian and eric have a total of $86 in their wallets. eric has 2 times what brian has. laura has $6 less than brian. how mu

Law Incorporation [45]

Answer:

The money that Aura has is $17

The money that Brain has is $23

The money that Eric has is $46 .

Step-by-step explanation:

The sum of total money does Aura , Brain , Eric have = $86

The money that Eric has = 2 times money that Brain has

The money that Aura has = $6 less than that Brain has

Let The money that Aura has = $A

Let The money that Brain has = $B

Let The money that Eric has = $E

Now, According to question

∵ Sum of total money does Aura , Brain , Eric have = $86

So, $A + $B + $E = $86

Or, A + B + E = 86 .........1

Again

E = 2 × B ..........2

Again

A = B - 6 ..........3

So, (B - 6) + B + 2 B = 86

Or, (B + B + 2 B) = 86 + 6

Or, 4 B = 92

∴ B = $\dfrac{92}{4}$

i.e B = 23

So,The money that Brain has = B = $23

Putting the value of B in eq 2

∵ E = 2 × B

So, E = 2 × 23

Or, E = 46

So,The money that Eric has = E = $46

Putting the value of B in eq 3

∵ A = B - 6

So, A = 23 - 6

Or, A = 17

So,The money that Aura has = A = $17

Hence, The money that Aura has is $17

The money that Brain has is $23

The money that Eric has is $46 . Answer

6 0

3 years ago

The area of a circular oil slick on the surface of the sea is increasing at a rate of [150m^2/s] how fast is the radius changing

Akimi4 [234]

Answer with Step-by-step explanation:

We are given that

$\frac{dA}{dt}=150m^2/s$

a.Radius =25 m

We have to find rate of change of radius.

We know that

Area of circle, $A=\pi r^2$

Differentiate w.r.t time

$\frac{dA}{dt}=2\pi r\frac{dr}{dt}$

Substitute the values then we get

$150=2\pi (25)\frac{dr}{dt}$

$\frac{dr}{dt}=\frac{150}{50\pi}=\frac{3}{\pi} m/s$

$\frac{dr}{dt}=\frac{3}{\pi} m/s$

b.A= $1000m^2$

Substitute the values then we get

$1000=\pi r^2$

$\pi=3.14$

$r^2=\frac{1000}{3.14}$

$r=\sqrt{\frac{1000}{3.14}}=17.8m$

$\frac{dA}{dr}=2\pi r\frac{dr}{dt}$

Substitute the values then we get

$150=2\pi(17.8)\frac{dr}{dt}$

$\frac{dr}{dt}=\frac{150}{2\pi(17.8)}=\frac{150}{35.6\pi}$ m/s

$\frac{dr}{dt}=\frac{75}{17.8\pi}$ m/s

4 0

3 years ago

Picture attached on the file

AveGali [126]

Answer:

89/3

Stp/lanation:

4 0

3 years ago

Round 53,738 to the nearest thousand.

Ivenika [448]

Answer:

54000

Step-by-step explanation:

53,738

3 is in the thousands place so we look at the hundreds place

7 is 5 or above so we round the 3 up to 4

54000

5 0

3 years ago

Order the values from least to greatest

melomori [17]

1.) -4 , -2 , 1 , 3 , |-5|

-4 and -2 are first because they are the least, then 1 and 3 are next. The absolute value of -5 is last because it has the greatest value, 5. (The absolute value of a negative number is the same number but positive)

2.) |8| , -5 , 0 , |-9| , 11

The absolute value if 8 is first because it has the least value, -8. (The absolute value of a positive number is the same number but negative) Then -5 and 0 are next. The absolute value of -9 is next because it is actually 9, and 11 is last because it has the greatest value.

8 0

3 years ago

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