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

6) find HJ
8)find IK

Answers

Answer:

HJ = 17

IK = 30

Step-by-step explanation:

to find HI :

GH : 2

HI : ?

IJ : 12

GI : 7

HI = GI - GH

HI = 7- 2

HI = 5

HI + IJ = HJ

5 + 12 = HJ

17 = HJ

To find IK

IJ = ?

JK = 12

KL = ?

IL = 49

JL = 31

To find IK we need to find KL and IJ

KL = JL - JK

KL = 31 - 12

KL = 19

IJ = IL - (JK + KL)

IJ = 49 - 31

IJ = 18

IK = IJ + JK

IK = 18 + 12

IK = 30

A number is considered "blue" if the sum of its digits is equal to the product of its digits. Which of the following
is "blue"?

Answers

Answer:

gcfcfud g fhhfhchgdjchfhfhgfhhufxyvhcj v hxhcnchchdfhvhdnfjc

Answer:

212205

Step-by-step explanation:

Well each letter is a number of a alaphabet

PLEASE HELP 25 points and brainliest!

Answers

Answer: 8.1 × 10¹⁰

Concept:

When multiplying exponents, add the exponents together.

When dividing exponents, subtract the exponents.

Solve:

Given expression

(3 × 10⁶) × (2.7 × 10⁴)

Put like terms together

=3 × 2.7 × 10⁶ × 10⁴

Combine like terms

=8.1 × 10⁶⁺⁴

=[tex]\boxed{8.1*10^{10}}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

8.1 x 10^10

Step-by-step explanation:

When you do this type of problem you want to combine the like terms together, in this case is this.

3 × 2.7 × 10⁶ × 10⁴. So you will get.        

8.1 x 10⁶⁺⁴

Which is 8.1 x 10^10 simplified

3/4x + 4/7y = 5/4x -1...solve for y​

Answers

Answer:

[tex] \frac{3}{4} x + \frac{4}{7} y = \frac{5}{4} x - 1 \\ \frac{4}{7} y = \frac{5}{4} x - 1 - \frac{3}{4} x \\ \\ \frac{4}{7} y = \frac{5x - 4 - 3x}{4} \\ \frac{4}{7} y = \frac{2x - 4}{4} \\ \\ y = \frac{2x - 4}{4} \div \frac{4}{7} \\ y = \frac{2x - 4}{4} \times \frac{7}{4} \\ \\ y = \frac{14x - 28}{16} \\ \\ y = \frac{14x}{16} - \frac{28}{16} [/tex]

I hope I helped you^_^

4 The equation 5W + 3 = 4w + 9 is modeled below. w W 1 W W 1 1 W 1 1 W W 1 1 1 What value of w makes this equation true? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. MI - SI – PSA- S-​

Answers

Answer:

w = 6.

Step-by-step explanation:

5w + 3 = 4w + 9

5w - 4w = 9 - 3

w = 6

Then, check your work!

5(6) + 3 = 4(6) + 9

30 + 3 = 24 + 9

33 = 33

So, w = 6 will be the correct answer.

Hope this helps!

Tìm tập giá trị y = x² - căn 4 - x²

Answers

Answer:

0 and 2 s the answer

The price of a printer is $349.00, plus 6% sales tax. What is the sales tax on this printer in dollars and cents?​

Answers

$349.00 x 0.06 (6%) = $20.94 sales tax

The sales tax on this printer is $20.94

What is sales tax?

A sales tax is a consumption tax imposed by the government on the sale of goods and services.

Given that, the price of a printer is $349.00 having a 6% sales tax.

Sales tax = 6% of $349.00

$349.00 x 0.06 = $20.94

Hence, the sales tax on this printer is $20.94

For more references on sales tax, click;

https://brainly.com/question/29442509

#SPJ6

What is the solution of the equation?


-6x+5= 3-5x

Answers

Answer:

I think the answer is x = 2

Answer: 2

Step-by-step explanation:

-6x+5=3-5x

+5x +5x

-x +5=3

-5 -5

-x = -2

-2 -2

X=2

Can somebody please help? I been struggling to answer this!

Answers

Answer:

the first option is the answer. I am sure of this

Answer:

the first option is the answer

Simplify each expression completely.
7[3+2(x-4)-6(x-4)]

Answers

Answer:

21 + 14x - 56 - 42x + 168

= 133  - 28x

Step-by-step explanation:

Answer:

19 - 4x

Step-by-step explanation:

[tex]3 + 2(x - 4) - 6(x - 4)[/tex]

[tex]3 + 2x - 8 - 6(x - 4)[/tex]

[tex]3 + 2x - 8 - 6x + 24[/tex]

[tex]19 + 2x - 6x[/tex]

[tex]19 - 4x[/tex]

You have one box that is 1 4/11
feet tall and a second box that is 1.36 feet tall. Write the decimal expansion for
. If you stack the​ boxes, about how tall will the stack be?

Answers

The stacked boxes would be 2.72 feet tall

The height of the stacked box is the sum of the lengths of the two boxes

1 4/11 is a mixed number and it has to be converted to a decimal

A mixed number is a number that has a whole number and a proper fraction.

A proper fraction is a fraction is which the numerator is less than the denominator.

The whole number is 1 and the proper fraction is 4/11

To convert to a decimal, divide the numerator by the denominator. Add this number to the whole number

4/11 = 0.36

1 + 0.36 = 1.36 feet

Height of the stacked boxes = 1.36 + 1.36 = 2.72 feet

To learn more about decimals, please check:

https://brainly.com/question/18657762?referrer=searchResults

Please help me I’m struggling! I’ll give a brainliest!!
Collinear points lie on the same line. Find the value of k for which the following points are collinear: (k,3), (-3,2), (-1,1)

Answers

Answer:

k=-5

Step-by-step explanation:

For the points to be collinear any two pair must have the same slope

We find the slope of the 2nd and 3rd points

=1-2/-1--3

=-1/2

Now finding the slope of the 1st and any other point say point 3

1-3/-1-k=-½

-2/-1-k=-½

-4=-1(-1-k)

-4=1+k

k=-4-1

k=-5

PROOF

if the first point is (-5,3)

slope of point 1 and 2

=2-3/-3--5

=-1/2

4. Determine both the HCF and LCM of 25 and 200​

Answers

Answer:

The LCM of 25 and 200 is 200.

Explanation:

Find the prime factorisation of 25

25 = 5 × 5

Find the prime factorisation of 200

200 = 2 × 2 × 2 × 5 × 5

Multiply each factor the greater number of times it occurs in steps 1 or 2 above to find the LCM:

LCM = 2 × 2 × 2 × 5 × 5

LCM = 200

Answer:

the HCF of 25 and 200 is 25 because it divides both of them and is maximum factor of them.

LCM of 25 and 200 is 200 because it can be divided by both 200 and 25

A clothing company buys t-shirts for $10 and sells them for $100. What is the percentage mark up on
t-shirts? Make sure you show at least one step of working

Answers

Answer:

900%

Step-by-step explanation:

Starting price : 10

End price: 100

100-10 = 90

90/10 = 9 = 900%

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

f(x) = 3x2 – x
Find f(10)

Answers

Answer: f(10) = 290

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given expression

f(x) = 3x² - x

Substitute values into the expression

f(10) = 3(10)² - (10)

Simplify exponents

f(10) = 3(100) - (10)

Simplify by multiplication

f(10) = 300 - 10

Simplify by subtraction

f(10) = [tex]\boxed{290}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Using the numbers 2,7,13,11,5 can you get the total of 23? (You must use all numbers, no negatives, no using each number more than once, and only use Subtraction, Multiplication, addition, and division, you can also group numbers)

Answers

Answer:

(2-7)/5 + 13 + 11

Step-by-step explanation:

There's a lot of guess and check that needs to go into this to make this work, but here's what I got:

(2-7)/5 + 13 + 11

-5/5 + 13 + 11

-1 + 13 + 11

24 - 1

23

A car accelerates from stationary state to X kmj-1 in 10 minutes. If the acceleration of the car is 300 km h-2, find the value of X.​

Answers

Step-by-step explanation:

X = Acceleration × time

=300× (10/60)

=50km/h

evaluate the expression (-2) - ( -5)

Answers

Answer:

The answer is 3

Step-by-step explanation:

(-2)+5=3

e) If the radede circle is 7em, then find the area of circle. al- (SSS. x at Solna -​

Answers

Hi

area of circle, which is call in proper math terme circumference ( latin for going around) is given by this formula :

2 times radius x pi

As math is all about knowing your formula and training, I let you have a shot. You wont progress other wise.

Ask in comment section if you are still blocked.

How many solutions are there to the equation below?
145 = 10x - 8x
O A. infinitely many
O B. 2
O c. 1

Answers

Answer:

c. one solution

Step-by-step explanation:

[tex]145 = 10x - 8x \\ 2x = 145 \\ x = 72.5[/tex]

Answer:

C

Step-by-step explanation:

yes

this is the answer for sure

Helppp pleaseeeee

Which expression is equivalent to

Answers

Answer:

The second option

Step-by-step explanation:

First, simplify the bracket

[tex] \frac{4r {}^{3} s {}^{2} t {}^{4} }{2r {}^{4} st {}^{6} } [/tex]

Apply Quotient of Powers

[tex]2 {r}^{ - 1} s {t}^{ - 2} [/tex]

Which equals

[tex] \frac{2s}{rt {}^{2} } [/tex]

Raise this to the fifth power

[tex] \frac{32s {}^{5} }{ {r}^{5} t {}^{10} } [/tex]

Multiply by the outsides numbers(5^r^6 and t^4

[tex] \frac{160 {}^{} r {}^{6}s {}^{5} t {}^{4} }{r {}^{5} t {}^{10} } [/tex]

[tex]160r {}^{5} t {}^{ - 6} [/tex]

[tex] \frac{160r {}^{}s {}^{5} }{t {}^{6} } [/tex]

Find the difference between temperatures of 17 degrees celcius above zero and 12 degrees celcius below zero

Answers

Answer:

29° C

Step-by-step explanation:

-17(-12)

=29

Hope this helps

Answer:

29C

Step-by-step explanation:

Above zero temperature = +17C

Below zero temperature = -12C

Difference= 17 - (-12C)

                 = 17 + 12 C

                 =29C

Solve the compound inequality.
3 > 2x or x - 4 > 2
x <
or x >

Answers

Answer:

so our x is <

less than

explanation: 3>2x= 1.5<x

x- 4>2 =6<x

HELP PLEASEEEEEEEEEEE

Answers

Answer:

The answer you have selected is correct.

Step-by-step explanation:

Answer:

X^2 - 7xy + y^2 +2y

Step-by-step explanation:

For this, they are just trying to test if u know how to expand the brackets, especially for the one on the right, since that is a negative infront of the bracket, u would need to multiply negative to all the values in that bracket

Which of the following is not true about the number given below?

-6.7

a. The number is negative
b. The opposite of the number is negative.
c. The absolute value of the number is positive.
d. The number is 6.7 units away from zero.


PLEASE HELP ME!

Answers

Answer:

b. The opposite of the number is negative

Step-by-step explanation:

the opposite of -6.7 would be 6.7 not a negative

Need help on how how to do the question step by step need help ASAP

Answers

Answer:

4

Step-by-step explanation:

64 = 4 × 4 × 4 = 4³ , then

[tex]\sqrt[3]{4^3}[/tex]

= 4

Pls help me I’m not very smart

Answers

Answer:

39.90

Step-by-step explanation:

multiply 95x42, ur not smart if you think u arent.

39.90 is the answer keep up the work

someone help please :)

Answers

Answer:

its basically a Cross

the point they cross is p

and the 2 lines are AB and RS

I hope I'm correct.And yea

.hope it helps

100 POINTS + BRAINLIST IF RIGHT. GEOMETRY
In problems 13-15 is the bisector of AC

Please help 13-15 I’m struggling so hard :(

Answers

Hello! I'm happy to help!

Question 13: First, we will need to find the value of x. We know that AB and BC are equal.

So, we can subtract x from both sides.

2x-8

-x

x-8

So, we get AB as x-8

x+17

-x

17

and BC as 17. We know that these are equal, so we need to find which x value will make them that way. In this case, x=25 because 25-8=17. We can now add back the x we removed earlier.

17+25=42

Therefore, both AB and BC have a value of 42. and AC will be the combined total.

42+42=84

So, for question 13, x=25, AB=42, BC=42, and AC=84.

Question 14: This question is similar, but we have an expression for AB and AC, instead of AB and BC. We still know that AB=BC, so we can also say that BC=x+6 also. To find x, we need to find a second expression that is equal to AC. We can ad AB and BC together to get that. (x+6)+(x+6)=2x+12. This expression is equal to the AC expression, so we can compare them to find x.

2x+12=3x-31

We need to single out the x on one side, by changing things in the same way on both sides.

2x+12=3x-31

-2x       -2x

12=x-31

+31 +31

43=x

Now that we know our x value, we need to plug it in!

43+6=49

We now know that both AB and BC have a value of 49. Let's plug in the value for AC.

(43·3)-31

129-31

98

After plugging in the values, we know that AC is equal to 98. You could have also added AB and BC together, giving you 98 also.

To Summarize Question 14: x=43, AB=49, BC=49, AC=98.

Question 15: This one is very similar to the last, with a little more complexity to the expressions. First, let's simplify the expressions on AB and AC.

AB=3(3x-1)  AB=9x-3

AC=5(2x+2)   AC=10x+10

Now that we have the simplified expressions, let's solve. We need to find an equivalent expression for AC. We know that AB and BC are equivalent, and also add up to AC. We can copy the expression from AB to BC, and then add them

(9x-3)+(9x-3)=18x-6=AC

We now compare the two expressions in an equation to find x.

10x+10=18x-6

Again, we have to single out x on one side.

10x-10=18x-6

-10x     -10x

10=8x-6

+6     +6

16=8x

This time, we need to divide both sides to single out x.

[tex]\frac{16}{8}[/tex]=[tex]\frac{8x}{8}[/tex]

2=x

Now that we have x, we need to plug it in to finish solving.

(9·2)-3

18-3

15

AB=15  BC=15

From here, you can do one of two things, add AB and BC together (easy), or plug in x for AC.

15+15=30                            (10·2)+10

AC=30                                 20+10=30

                                            AC=30

To Summarize Question 15: x=2, AB=15, BC=15, AC=30.

I'm always happy to help, keep learning! :D

                                       

1. Identify the terms in the expression
1.3x - 2.7x2
-
5.4x + 3


50 points whoever aswners it

Answers

Answer:

- and+

Step-by-step explanation:

Answer:

1.3x, -2.7, x^2 (x squared), -5.4x, +3 are the terms. hope this helps

Step-by-step explanation:

- Zombie

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