1. Present ages of Asha and Amina are in the ratio 4:5. Eight year from now, the ratio of their
ages will be 5:6. Find their present ages.

Answers

Answer 1

Answer:

32 and 40

Step-by-step explanation:

Their ages are in the ratio 4 : 5 = 4x : 5x ( x is a multiplier )

In 8 years their ages will be

4x + 8 and 5x + 8 in the ratio 5 : 6

Expressing this ratio in fractional form

[tex]\frac{4x+8}{5x+8}[/tex] = [tex]\frac{5}{6}[/tex] ( cross- multiply )

5(5x + 8) = 6(4x + 8) ← distribute parenthesis on both sides

25x + 40 = 24x + 48 ( subtract 24x from both sides )

x + 40 = 48 ( subtract 40 from both sides )

x = 8

Thus their present ages are

Asha = 4x = 4(8) = 32

Amina = 5x = 5(8) = 40


Related Questions

Which of the following numbers is rational?
-9
5/8
0
all of the above

Answers

Answer: 5/8


What rational means:

MATHEMATICS
(of a number, quantity, or expression) expressible, or containing quantities that are expressible, as a ratio of whole numbers. When expressed as a decimal, a rational number has a finite or recurring expansion.

the value of p(x) = 5x-4x^2+3 at x=0​

Answers

Steps to solve:

p(x) = 5x - 4x^2 + 3

~Substitute

p(0) = 5(0) - 4(0)^2 + 3

~Simplify

p(0) = 0 - 0 + 3

~Simplify

p(0) = 3

Best of Luck!

Write the equation of a line that is parallel to y = -1 and that passes through the point (8, -4)

Answers

Step-by-step explanation:

y = 0x - 1.

Slope of the line = 0.

A line that is parallel to the original line must have the same slope, which is 0.

y = 0x + c.

When x = 8, y = -4.

-4 = 0(8) + c. So c = -4.

Hence the equation of the parallel line is y = -4.

ANYONE CAN YOU HELP ME

Answers

Your answer would be C

How can u turn 10 into a mixed number ?

Answers

25/10 is a mixed number that equals 2.5

5 + (-6) = ? Math:adding with rational integers​

Answers

5 + (-6) = -1
hope this helps!

A human head weighs 160 ounces. What is that weight in kilograms? Analyze the work below. 1 pound = 16 ounces. 1,000 grams = 1 kilogram. 1 kilogram = 2.2 pounds. Student's work: StartFraction 160 ounces Over 1 EndFraction times StartFraction 16 pounds Over 1 ounce EndFraction times StartFraction 1 kilogram Over 2.2 pounds EndFraction almost-equals 1,163.6 What is the student's error? The student forgot to multiply by StartFraction 1,000 grams Over 1 kilogram EndFraction. The student forgot to multiply by StartFraction 1 kilogram Over 1,000 grams EndFraction. The student multiplied by StartFraction 16 pounds Over 1 ounce EndFraction instead of StartFraction 1 pound Over 16 ounces EndFraction. The student multiplied by StartFraction 1 kilogram Over 2.2 pounds EndFraction instead of StartFraction 2.2 pounds Over 1 kilogram EndFraction.

Answers

Answer:

The answer is C.

Step-by-step explanation:

I just founded out when I reviewed it.

Answer:

Whether her conversion is correct or not, you can just base it on the true answer. For this problem, we apply the technique of dimensional analysis. You can like units if they both appear in the numerator and the denominator side. The solution is as follows:

Mass in ounces = 3 kg * (1,000 g/ 1 kg) * (1 ounce/28.35 g) = 105.82 ounces

Step-by-step explanation:

translate these pls
1. one less than the quotient of a number and -5
2. three times the sum of a number and 7
3. the product of a number and -3 increased by 4 is 12
4. the difference of twice a number and 9 is -21
5. x is at most 6
6. you must be at least 18 years old to vote

Answers

Answer:

How

Step-by-step explanation:

5.
If WX = XY, what is the length of WZ?

Answers

Answer:

25

Step-by-step explanation:

Segment XY = 10

Segment XZ = 15

Since the lenght of segment WX is said to be congruent to the lenght of segment XY, therefore:

WX = XY = 10

Segment WX + Segment XZ = Segment WZ (segment addition postulate)

[tex] 10 + 15 = WZ [/tex] (substitution)

[tex] 25 = WZ [/tex]

[tex] WZ = 25 [/tex]

Length of segment WX = 25

1. Trisha and Felix are renting a car while on
vacation. The rental car company charges $25.00
per day, plus $0.50 for each mile the car is driven.
They drive the car for 118 miles during their
three-day trip. How much are they charged?
Which of the following is the correct plan?
A. Add the amount per day to the amount per mile,
Multiply the sum by the amount per mile.
B. Multiply the amount per mile by the number of
miles. Add the charge per day to the product.
TO
ents! -
C Multiply the cost per day by the number of days,
Multiply the amount per mile by the number of miles.
Add the two products
on - Higi
ebook/T
D. Multiply the cost per day by the number of days.
Multiply the amount per mile by the number of miles.
Multiply the two products,
practice

Answers

Answer:

I think the answer is C

Step-by-step explanation:

Solve this please
[tex]4m - 5 = 11[/tex]

Answers

M has to equal 2. 11-5 equals 6. 6-4 is 2. 2 is the missing value.
m= 4

because you add 5 to both sides which gives you
4m=16
then you divide 16 by 4 which gives you
m=4

Convert 5 6/7 into an
into an improper fraction.

Answers

Answer:

41/7

Step-by-step explanation:

You first should multiply the denominator, which is 7, by the whole number part, five, and add the numerator, six, to get the new numerator. Then you place the new number, 41, over the old denominater which leaves you with 41/7.

The mixed fraction 5 6/7 can be converted in to the improper fraction as 41/7.

Given a mixed fraction,

5 6/7

We have to convert this in to improper fraction.

Improper fractions are fractions which contains the numerator which is greater then the denominator.

All improper fractions can be converted in to mixed fraction and vice versa.

Here fraction is 5 6/7.

5 6/7 = 5 + 6/7

Cross multiplying,

5 6/7 = [(5 × 7) + 6] / 7

         = (35 + 6)/7

         = 41/7

Hence the improper fraction is 41/7.

Learn more about Mixed fractions here :

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1. Which of the following relations is a function?
O {(1,2)(2,3)(3,5)(2,6)}
O {(4,5)(5,1)(9,5)(2,6)}
O {(4,6)(5,1)(5,9)(7,5)}
O {(4,6)(5,1)(4,3)(7,5)}

Answers

Answer:

Step-by-step explanation:

first one

The length of AC⎯⎯⎯⎯⎯ is 10 inches. What is the length of FA⎯⎯⎯⎯⎯ ? 5 in. 8 in. 10 in. 20 in.

Answers

Do u ever just comment for points and a thank you 126

Answer:

5 in.

Step-by-step explanation:

I just took the test :)

What is the value of -17 - (-1) + 2/3 + -1/2?

Answers

Answer:

-95/6 or -15.83 repeating

Step-by-step explanation:

If (–6, y) is a solution to the equation –7x − 5y = –68, find the value of y.


Answers

Steps to solve:

-7x - 5y = -68 when x = -6

~Substitute and simplify

-7(-6) - 5y = -68

42 - 5y = -68

~Subtract 42 to both sides

-5y = -110

~Divide -5 to both sides

y = 22

Best of Luck!

n2 + 7n +12
Factored form

Answers

Were you trying to say n^2+7n+12? If so...

Answer: (n+4)(n+3)

Step by Step:
n^2+7n+12
n^2+4n+3n+12
n(n+4)+3(n+3)
(n+4)(n+3)

If not and you were trying to simplify... n2+7n+12
Answer: 9n+12

Solve the equation: 2+3.8w=1.4-2.8w

Answers

Answer:

w= -11

Step-by-step explanation:

1. Subtract 2.8 from the right side and add it to the left side. Now you have 2+6.6=1.4.

2. Subtract 2 from the left side and add it to the right side. Now you have 6.6= -.6

3. Divide both sides by -.6. You will get -11=w

What transformations are used in transforming the parent graph y = x, to obtain the graph of c (x) = StartFraction 5 Over 9 EndFraction (x minus 32)? Check all that apply.

Answers

Given that:

Parent equation : [tex]y=x[/tex]

Transformed function : [tex]c(x)=\dfrac{5}{9}(x-32)[/tex]

Solution:

Let Parent equation be [tex]f(x)=x[/tex]. Then,

[tex]c(x)=\dfrac{5}{9}f(x-32)[/tex]      ...(1)

The translation is defined as

[tex]c(x)=kf(x+a)+b[/tex]                .... (2)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

[tex]k=\dfrac{5}{9}<1[/tex] , So graph of parent function compressed vertically by factor [tex]\dfrac{5}{9}[/tex].

[tex]a=-32<0[/tex], so the graph of parent function shifts 32 units right.

[tex]b=0[/tex], so there is no vertical shift.

Therefore, the graph of parent function compressed vertically by factor [tex]\dfrac{5}{9}[/tex] and shifts 32 units right to get the graph of c(x).

horizontal translation

vertical compression

Step-by-step explanation:

the first 2

Alright.

If you listen to lil peep drop your favorite song by him.

If you can’t answer then comment on a answer

Answers

Answer:

to be honest, probably like Star Shopping or Awful things :\

Answer: STAR SHOPPING OR YOUR FAVORITE DRESS BUT ALL HIS SO GS ARE AMAZING

Step-by-step explanation:

Function f is defined by f(x)=2x-7 find f(3)

Answers

Answer:

F

(

x

)

=

x

2

7

x

+

C

Step-by-step explanation:

The value of function f (3) is -1.

Here,

The function is given as;

f (x) = 2x - 7

We have to find the value of f (3).

What is Function?

A function is defined as a relation between a set of inputs having one output each.

Now,

The function is given as;

f (x) = 2x - 7

To find the value of f (3), put x = 3 in the function, we get;

f (3) = 2 * 3 - 7

      = 6 - 7

      = -1

Hence, The value of function f (3) is -1.

Learn more about the function visit:

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A flowchart proof

contains a set of sentences explaining the steps needed to reach a conclusion.
uses inductive reasoning to prove a statement.
uses a visual representation of the logical flow of steps needed to reach a conclusion.
contains a table with a logical series of statements and reasons that reach a conclusion.

Answers

Answer:

C. uses a visual representation of the logical flow of steps needed to reach a conclusion.

Explanation: This is the correct answer on Edge 2021, just took the unit test. Hope this helps ^-^.

A flowchart proof uses a visual representation of the logical flow of steps needed to reach a conclusion. (Option C)

What is a flow chart proof?

A flowchart proof is a technical proof in which boxes with arrows move from one to the next.

Hence, it is correct to state that a flowchart proof uses a visual representation of the logical flow of steps needed to reach a conclusion.

Learn more about flowcharts at:

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Solve each equation.
1) X- 17 = -32

Answers

Answer:

x = - 15

Step-by-step explanation:

x - 17 = -32

x - 17 + 17  = -32 + 17

x = - 15

A recipe calls for an oven to be preheated to 400 °F. What is the approximate temperature of the preheated oven in Celsius degrees

Answers

Answer:204.4

Step-by-step explanation:

Answer:

204

Step-by-step explanation:

2. How many terms are contained in the expression:
3x2 + 6x - 15

Answers

there are 4 terms .

Vanessa is creating centerpieces for a reception. Each centerpiece will consist of eight flowers arranged around one candle. Vanessa will create 20 of these centerpieces. Each candle costs $6.00, and each flower costs $1.50. What is the final cost of the centerpieces?

Answers

Answer:

The answer is $360.

Step-by-step explanation: To calculate the cost of the flowers: 8 x 20 x 1.50 = 240

To calculate the cost of the candles: 20 x 6 = 120

Add the totals together, and there you go.

Answer:

360

Step-by-step explanation:

What is 108 square root to the nearest tenth

Answers

Answer:

the square root would be 10.4

Answer:

Yep the answer is about 10.4.

Which graph shows y < x2 + 1?
c.

Answers

Answer:

3rd one

Step-by-step explanation:

Answer:C

Step-by-step explanation:took test

the average temperature for febuary was -4.03 in chicago and -7.14 in michigan.which of the following represent the difference between the average temperature of the two cities HELPP

Answers

To put it simply, the answer is 3.11.

Identify the range of the function shown in the graph

Answers

Step-by-step explanation:

answer is c

hope it helps

plz mark as brainliest

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