Hakim and Aziz had some savings in the ratio 3 : 5. Hakim saved another $82 and Aziz spent $110. Both have the same amount of money now. How much do each of them have now?​

Answers

Answer 1
Answer:  $370

===========================================================

Explanation:

Hakim and Aziz have savings in the ratio 3:5. This means that Hakim has 3x dollars while Aziz has 5x dollars. The x is some positive real number.

We're then told that Hakim saved another $82, which means it goes from 3x to 3x+82

At the same time, Aziz spent $110 which means the 5x decreases to 5x-110

At this point, the two people have the same amount of money. Set the expressions we found equal to one another and solve for x.

3x+82 = 5x-110

3x-5x = -110-82

-2x = -192

x = -192/(-2)

x = 96

Then use this x value to compute each expression like so

3x+82 = 3*96+82 = 3705x-110 = 5*96-110 = 370

Both have $370 after Hakim saved that additional $82 and after Aziz spent that $110.

------------------

Extra info:

If we rewind things a bit, Hakim would have 3*x = 3*96 = 288 dollars while Aziz would have 5x = 5*96 = 480 dollars. This is before any additional saving or spending.

Then note how the ratio 288:480 fully reduces to 3:5 after dividing both parts by the GCF 96.


Related Questions

Find the area of this shape.

Answers

Answer:

Step-by-step explanation:

Bottom triangle

Area = b * height

b = 4 + 4 = 8 cm

h = 5.75

Area = 1/2 * 5.75 * 8

Area = 23 cm^2

Trapezoid

b1 = 8

b2 = 4

h = 2

Area = (b1 + b2)*h/ 2

Area = (8 + 4)*2 /2

Area = 12

Total area = 23 + 12

Total area = 35

[tex]0.2(10-5c) = 5c - 16[/tex]

Solve for c,...
Thanks,...

Answers

We are given,

[tex] \longrightarrow 0.2(10 - 5c) = 5c - 16 [/tex]

Solving the parenthesis

[tex]{ \longrightarrow 0.2 \times 10 - 0.2 \times 5c = 5c - 16 }[/tex]

[tex]{ \longrightarrow 2 - 1c = 5c - 16 }[/tex]

[tex]{ \longrightarrow 2 + 16 = 5c + 1c }[/tex]

[tex]{ \longrightarrow 18 = 6c }[/tex]

Dividing both sides by 6

[tex]{ \longrightarrow 3 = c }[/tex]

Hence c = 3.

A. 24 = -3 + 3n
B. 11 + 4x = x - 10
C. -216 = 1 + 7(1 + 8m)
D. 3p - 3(2 - 2p) = 34 + 4p
( solve and show work please)

Answers

Answer:

See below.

Step-by-step explanation:

1.)

[tex]24=-3+3n\\27=3n\\9=n[/tex]

2.)

[tex]11+4x=x-10\\11+3x=-10\\3x=-21\\x=-7[/tex]

3.)

[tex]-216=1+7(1+8m)\\-216=1+7+56m\\-216=8+56m\\-224=56m\\-4=m[/tex]

4.)

[tex]3p-3(2-2p)=34+4p\\3p-6+6p=34+4p\\9p-6=34+4p\\5p=40\\p=8[/tex]

What is the equation of a line that passes through (4, 3) and has a slope of 2?
Oy= 2x – 11
Oy=2x-1
Oy= 22 – 5
y= 22 - 7

Answers

Answer:

[tex]y=2x-5[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

We're given that the slope is 2. Plug this into [tex]y=mx+b[/tex] as m:

[tex]y=2x+b[/tex]

Now, to solve for the b, plug in the point (4,3):

[tex]3=2(4)+b\\3=8+b\\3-8=b\\-5=b[/tex]

Therefore, the y-intercept is -5. Plug this back into [tex]y=2x+b[/tex] as b:

[tex]y=2x+(-5)\\y=2x-5[/tex]

I hope this helps!

Given :-

(x,y) = (4,3)

m = 2

Solution :-

We know that

y = 2x + b

3 = 2(4) + b

3 = 8 + b

3 - 8 = b

-5 = b

Now

We need to find the equation

Equation = y = 2x + b

We have

x = x

y = ?

b = -5

y = 2(x) + (-5)

y = 2(x) - 5

y = 2x - 5

Option C is exactly correct.

Solve the x 2/3x +5 1/2 = -10

Answers

Answer:

x = 2/3x + 5 1/2 = -10 = x = -93/4

Step-by-step explanation:


Mrs. Perez has 28 students and 5/7of those students participate in school sports. How many of Mrs. Perez's
students participate in school sports?
To solve this problem, use multiplicatio
of Mrs. Perez's students participate in school sports.

Answers

Answer:

perez has 28 student . and , according to this questions ,5 / 7 of those student participants in school sports.Thus 20 students participate in school sport .

B is between A and C, BC=38, and AC=42. Find AB
help please!

Answers

Answer:

AB = 4

Step-by-step explanation:

AB + BC = AC

Substitute the line segments for their given values:

AB + 38 = 42

Subtract both sides by 38:

AB = 42 - 38

AB = 4

Check your work:

4 + 38 = 42

42 = 42

Correct!

Simplify the power of i^15

Answers

Answer:

this cant be simplified unless you have an integer in place of "i"

what’s the i stand for?

three points have coordinates A(-1,2),B(3,10)and C(p,8).Find the value (s) of p if AC is perpendicular to BC.

Answers

Step-by-step explanation:

All steps are in pic above.

Note:if you have any questions about it let me know.

y more than 2 decreased by 8

Answers

Answer:

( y + 2 ) - 8

hope that helps uh..

Given (x - 1)2 = 50, select the values of x.
X = -49
x = 51
x = 1+5./
x = 1-5V

Answers

X = 26 .. these options aren’t correct

Answer:

X=26

Step-by-step explanation:

the answer isn't among the options

How to multi step equations

Answers

3 (p – 3 ) – 8 = 4p – 18

3p – 9 – 8 = 4p – 18

4p – 3p = – 9 – 8 + 18

p = 1

I hope I helped you^_^

Can anyone explain what the last part is about describing the translation!

Answers

Answer:

the pictures is not clear

I'm checking behind myself. Can you answer this?

Answers

Answer:

9

Step-by-step explanation:

6x - 3 + 3x = 60 + 2x

Combine like terms:

6x - 3 + 3x = 60 + 2x

9x - 3 = 60 + 2x

-2x                -2x

-----------------------

    7x - 3 = 60

         +3    +3

    ------------------

         7x = 63

        -----   -----

          7       7

            x = 9

Hope this helped.

Answer:

9

Step-by-step explanation:

to solve this equation you first have to group the like terms

6x-3+3x=60+2x

6x+3x-2x=60+3

7x=63

then you divide both sides by 7 inorder to remain with the variable x on one side

7x/7=63/7

x=9

I hope this helps

RS is the segment bisector. If OQ = 32 and PO = 4x,
what does x equal?
4
8
36
128
pls help

Answers

Answer:

8

Step-by-step explanation:

Bisectors are lines that divide an angle into two equal parts. The value of x of OQ is equal to PO is 8

Angle bisectors

Bisectors are lines that divide an angle into two equal parts. If RS is the segment bisector and given the following parameters:

OQ = 32

PO = 4x,

This shows that OQ = PO that is:

32 = 4x

Swap

4x = 32
x = 8

Hence the value of x of OQ is equal to PO is 8

Learn more on bisectors here: https://brainly.com/question/11006922

pls helpme with this thing

Answers

Answer:

square= 6

circle= 7

triangle= 8

Step-by-step explanation:

wait- ion rlly know fr cse it adds up, until the last one, unless circle is square..?

if 2y-5x+10=0, find.
(i)y, when x=2
(ii)x, when y=5​

Answers

Answer:

When x = 2, y = 0When y = 5, x = 4

Step-by-step explanation:

PART I: Value of y, when x = 2

Given information

x = 2

Given expression

2y - 5x + 10 = 0

Substitute values into the expression

2y - 5(2) + 10 = 0

Simplify by multiplication

2y - 10 + 10 = 0

2y = 0

Divide 2 on both sides

2y / 2 = 0 / 2

[tex]\boxed{y=0}[/tex]

-----------------------------------------------------------------

PART II: Value of x, when y = 5

Given information

y = 5

Given expression

2y - 5x + 10 = 0

Substitute values into the expression

2(5) - 5x + 10 = 0

Simplify by multiplication

10 - 5x + 10 = 0

20 - 5x = 0

Add 5x on both sides

20 - 5x + 5x = 0 + 5x

20 = 5x

Divide 5 on both sides

20 / 5 = 5x / 5

[tex]\boxed{x=4}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

(i) x = 2

Substituting value in the equation,

2y - 5(2) + 10 = 0

2y - 10 + 10 = 0

2y = 0

y = 0

(ii) y = 5

Substituting value in the equation,

2(5) - 5x + 10 = 0

10 - 5x + 10 = 0

20 - 5x = 0

20 = 5x

5x = 20

x = 20/5

x = 4

4(x + 3) = 16
please help it is urgent

Answers

Answer:

4x+12=16

4x=16-12

x= 4/4

x=1

Answer:

x=1

Step-by-step explanation:

4x+12=16

4x=16-12

4x=4

x=1

Perform the indicated operations on the following decimals?

22.) 3005+4.308+2.47=

23.) 8.17-3.05=

24.) 0.15 x 100=

25.) 15 x 2.08=

26.) 3.75 % 2.5=

27.) 1.125 % 0.75


Answers

Answer:

3005+4.308+2.47 =7.0785

8.17-3.05=5.12

0.15 ×100=15

15×2.08=31.2

change 3/8 to a decimal

Answers

Answer:

please mark me brainliest

Step-by-step explanation:

Answer: 3/8 as a decimal is 0.375.

Answer:

0.375.

Step-by-step explanation:

Do the division:-

8)3.000(0.375

   2 4

       60

        56

           40

            40

             --

If x = 2y then solve 5y-x in terms of y find the values of these expressions when y =2​

Answers

Answer:

6

Step-by-step explanation:

x= 2y

y=2

5y - x

5y - 2y

5(2) - 2(2)

10 - 4

6

brainliest is appreciated

If x = 2y then, 5y - x in terms of y is equal to 3y and when y = 2, the value of 5y - x is 6.

To solve 5y - x in terms of y, we need to substitute the value of x in terms of y. Given that x = 2y, we can replace x with 2y in the expression 5y - x:

5y - x = 5y - (2y)

Now we simplify the expression by subtracting 2y from 5y:

5y - (2y) = 3y

Therefore, 5y - x in terms of y is equal to 3y.

To find the value of the expression when y = 2, we substitute y = 2 into the expression:

3y = 3 * 2 = 6

Thus, when y = 2, the value of 5y - x is 6.

To learn more about expression click on,

https://brainly.com/question/28812730

#SPJ2

A rectangular box contain 782 apples. If there are 23 rows in a box, how many columns are there?
Select one:
O a. 23
O b. 34
O c. 35
O d. 40

Answers

Answer:

34343434343434343434

Which of the following numbers is different
from the rest?
(A) 0.25
(B) 1/4
(C) 25%
(D) 1/4%
(E) 16/64

Answers

Answer:

(D) 1/4%

hope that helps uh..

I need help on #5 please and thank you

Answers

Answer:

six times twice a number plus 5 times the number

Is it possible to draw a triangle with these measurements 90, 60, 60

Answers

Answer:

it is possible to draw a triangle with angles 90 degree, 60degree and again 60 degree

Find the perimeter of the following figures and circle the figure with the greatest perimeter

Answers

Answer:

figure plz

Step-by-step explanation:

What is sec 0 when tan 0 = square root of 3
Help Resources
A
D
(1,0)
Skip
sec 0 = [ ?
Rationalize the denominator if necessary.
Enter

Answers

Answer:

square both sides

I.e,tan²0=3

from,tan²0 +sec²0 = 1

so,tan²0=1-sec²0

1 - sec²0=3

sec²0 = 1 - 3

sec²0=-2

square root both sides

sec0 =√-2

10
16. There are 36 tables set up for the graduation reception. Each table is
8 feet long. The tables will be covered with paper tablecloths that extend
an extra 3 inches over each end (so they can be taped underneath). What
is the total length of paper needed to cover all the tables?

Answers

We have that the total length of paper needed to cover all the tables is

[tex]X=288.5ft[/tex]

From the question we are told that:

Number of tables [tex]n=36[/tex]

Length of table[tex]l=8[/tex]

Extension [tex]e=3 inch =>0.25feet[/tex]

Generally, the equation for the Total length  tables is mathematically given by

[tex]l_t=n*l\\\\l_t=36*8[/tex]

[tex]l_t=288ft[/tex]

Therefore with an extension of 0.25ft at both end we have the Total length of  tablecloths to be

[tex]X=l_t+2(e)\\\\X=288ft+2(0.25)[/tex]

[tex]X=288.5ft[/tex]

In conclusion

The total length of paper needed to cover all the tables is

[tex]X=288.5ft[/tex]

For more information on this visit

https://brainly.com/question/12595620

Which point represents the opposite of -2?
A B C D
5 3 2 0 1 2 3 4 5
ОА
ОВ
ОС
OD

Answers

Answer:

your answer is point D represent

Write 0.2¯¯¯ as a fraction in simplest form.

Answers

Answer:

1/5

Step-by-step explanation:

See the image for solution

Hope it helps

Have a great day

Answer:

[tex] \frac{1}{5} [/tex]

Step-by-step explanation:

0.2=

[tex] \frac{2}{10 } = \frac{1}{5} [/tex]

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