The sum of a man and his wife is 81 years. The ratio of their ages is 5:4 Find the age of the younger person

Answers

Answer 1

Answer:

Age of a younger person (wife) is [tex]36[/tex] years.

Step-by-step explanation:

The sum of a man and his wife is [tex]81[/tex] years.

Also, ratio of their ages is [tex]5:4[/tex]

Let ages of a man and his wife be [tex]5x[/tex] and [tex]4x[/tex].

Therefore,

[tex]5x+4x=81\\9x=81\\x=9[/tex]

Age of man [tex]=5x=5(9)=45[/tex] years

Age of his wife [tex]=4x=4(9)=36[/tex] years.

So,

age of a younger person (wife) is [tex]36[/tex] years.


Related Questions

Pls help me! ill give brainliest
identify the inverse of the following function in(x)=1+1/2 x

Answers

Answer:

[tex](x) = 1 + \frac{1}{2x} \\ f {}^{ - 1} (x) = \frac{1}{2(x - 1)} [/tex]

please help

will mark brainlist

Answers

Answer:

1.2, 1.6, 2.0

Step-by-step explanation:

Pythagorean theorem

A^2 +b^2=c2

1.2^2+1.6^2=2^2

1.44 + 2.56=4

4=4

Since equation works (4=4), it is a right triangle.

Cheddar cheese costs $4.25 per pound. Which equation best represents y, the total cost of x pounds of cheddar cheese?
a. x = 4.25 + y
b. x = 4.25y
c. y = 4.25 + x
b. y = 4.25x

Answers

Answer: c

Step-by-step explanation:

Because the total should be at the end plus how much pounds it is so c

if r = 1 and θ = 7pi/6 what is the approximate arc length?

Answers

Answer: C
Step-by-step explanation:
arc length = radius * angle(in radians)
arc length = 1*7pi/6
arc length =7pi/6

Answer:

3.665 units

Step-by-step explanation:

it was right


8. An artist creates 8 identical ceramic bowls. The bowls contains some glass and 59.2 pounds of clay. The artist uses a
total of 73.6 pounds of clay and glass to make the bowls. Each bowl contains how many pounds of glass? If you can show your work that would be awesome

Answers

Easy. You take 73.6 and subtract it by 59.2.
73.6 - 59.2 = 14.4. Explaination: Because there is 59.2 pounds of clay in all of 73.6, you subtract 73.6 by 59.2.

does anyone mind helping me with this please?

Answers

Area of a trapezoid = (a+b) x h/2
A = (GF + DE) x 4 /2
A = (4 + 8) x4/2
Area = 24

What is the standard form of the equation of a circle with center (3, - 2) and radius 4?

Answers

Answer:

(x - 3)² + (y + 2)² = 16

Step-by-step explanation:

The center is determined by what number is subtracted from the variables.

The radius is squared and set equal to the variable side.

Here are the percents of the popular
vote won by each successful candidate
in 15 presidential elections.
49.6, 55.1, 57.4, 49.7, 61.1, 43.4,
60.7, 50.1, 50.7, 58.8, 53.9, 43.2,
49.2, 47.9, 51.2
What is the median?

Answers

Answer:

50.7

Step-by-step explanation:

Solve the equation. 4(2m – 1) = 16

Answers

Answer:

8m-4=16

8m=20

m=2.5

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

4(2m -1)/4 = 16/4

2m-1 = 4

2m = 5

m = 5/2 = 2.5

please help me!!! i will give brainliest! please answer part A and B (links=report)

Answers

Answer:

1,4 1,6 1,8 2,0 2,2

Step-by-step explanation:

The Times table of 2

can i have some help please

Answers

Answer:

154 sq. meters

Step-by-step explanation:

the area of the whole  thing is 180 then you find the area of the blank space which is 16 and subtract it out

154 Square meters this is the answer









Someone please help me. ​

Answers

Answer:

Step-by-step explanation:

We can use Pythagorean Theorem to find leg BC.

[tex]AB^2=AC^2+BC^2[/tex]

[tex]24^2=12^2+BC^2[/tex]

[tex]576=144+BC^2[/tex]

[tex]BC^2=432[/tex]

[tex]BC=\sqrt{432}[/tex]

[tex]BC=2\sqrt{108}[/tex]

[tex]BC=4\sqrt{27}[/tex]

[tex]BC=12\sqrt{3}[/tex]

So, the measure of leg BC is 12√3.

Find the value of x in the isosceles triangle shown below.

Answers

Answer:

Sorry,for the answer it is too difficult brother .

Which equation models the total number of cups of flour, c, Henry needs?
c+2 1/4=10
2 1/4×c=10
10+c=2 1/4
2 1/4×10=c

Answers

Answer:

D

Step-by-step explanation:

The expression w4 - 36 is equivalent to
A (W2 – 18)(w2 – 18)
B (w2 + 18)(w2 – 18)
C (w2 - 6)(w2 – 6)
D (w2 + 6)(w2 – 6)

Answers

The equivalent expression of [tex]w^{4} -36[/tex] is [tex](w^{2} -6)(w^{2} +6)[/tex].

What is equivalent expression?

Equivalent expressions are expressions that work the same even though they look different.

According to the given question.

we have an expression [tex]w^{4} -36[/tex]

The equivalent expression of the above expression can be given by

[tex]w^{4} -36[/tex]

⇒ [tex](w^{2}) ^{2} -(6)^{2}[/tex]

⇒[tex](w^{2}-6)(w^{2} +6)[/tex]      (by using the property [tex]a^{2} -b^{2} = (a-b)(a+b)[/tex] )

Hence, the equivalent expression of [tex]w^{4} -36[/tex] is [tex](w^{2} -6)(w^{2} +6)[/tex].

Thus, option D is correct.

Find out more information about equivalent expression here:

https://brainly.com/question/27733205

#SPJ2

Help I need the answer dont send NO FILE only answer if you know it step by step explanation

Answers

Answer:

the plot points should be: m - (-1,-5) l - (-1,-8) n - (-3,-9)

Step-by-step explanation:

i'm not the greatest at explaining but i'll give it a shot. When you are doing a reflection of plot point shape, you need to reflect it over/under the x or y axis (hence the name "reflection") If you are reflecting over any of the axis, y or x, you need to first find the plot points of the original image. Then, you move over to that same spot to reflect it. For example, the shape 1,1, 1,2, 2,1 and 2,2. that's a square right? right. i would be a little worried if you didn't know that. anyways, you would then move to those points to reflect on the axis. We'll reflect on the y axis. You would then move it to the -1,1, -1,2, -2,1 and -2,2.

i'm super bad at explaining stuff but i hope this helps !

which expression is equivalent to 36x^4- 100?

Answers

an expression that s equivalent to 36x^4- 100 would be 4(3x²+5)(3x²−5)

Ellie buys a mobile phone in Spain for €352.50
Her brother jack buys an identical phone in Japan for ¥39856 (Japanese Yen)
Using the exchange rate below:
£1= €1.41
£1= ¥188
A) Decide in which county is the mobile phone cheaper

B) Workout by how much (in £).

Answers

Answer:

A Japan and B £38

Step-by-step explanation:

Spain £1=€1.41

more €352.50

€352.50÷1.41 ×1 = £250

Japan £1= ¥188

more ¥39856

¥39856÷188×1 =£212

A) Japan is cheaper

B) £250-£212=£38

HELP PLS HELP ILL MARK YOU BRAINLEST

a) 12°, 78°

b) 18°, 72°

c) 15°, 165

d) 36°, 144°​

Answers

d) 36, 144 is the answer

Keanna is 6 years older than Hayden. The product of their ages is 40. How old is Hayden?

Answers

Answer:

44

Step-by-step explanation:

Does anyone know what the formula is? ​

Answers

Answer:

29.50 degrees to the nearest hundredth.

Step-by-step explanation:

First we can find the measure of < CGB by using the Cosine Rule:

cos <CGB = (11^2 - 5.3^2 - 6.9^2) / (-2 * 5.3 * 6.9)

= -0.61936

So m < CGB = 128.27 degrees.

Now we can find the measure of x by using the Sine Rule:

11 / sin 128.27 = 6.9  / sin x

sin x =  6.9 * sin 128.27 / 11

= 0.49248

x = 29.5035 degrees

Answer:

x is around 29.5

Step-by-step explanation:

Let's just use the law of cosines.

[tex]c^2 = a^2 + b^2 - 2ab\cos\angle (ab)\\\\6.9^2 = 5.3^2 + 11^2 - 2\cdot5.3\cdot11\cdot \cos x^{\circ}\\47.61 = 28.09 + 121 - 116.6\cdot\cos x^{\circ}\\~\\cos x^{\circ} = \frac{149.09 - 47.61}{116.6} = \frac{101.48}{116.6}\\~\\x^{\circ} = \arccos\frac{101.48}{116.6}\\~\\x^{\circ} \approx 29.5^\circ[/tex]

How do I fill the table ?

Answers

abcdefghijklmnopqrstuvwxynz

Does anyone want to be my math tutor? :( have a month left before the semester ends and my grade in math is very low so If anyone wants to help me by tutoring me I'll would really appreciated it

Answers

Answer:

what grade yo.u in

Step-by-step explanation:

..

This dot plot is not symmetric, and the data set has two
extreme values.

What is the best measure of center for this dot plot?

A. The mean

B. The interquartile range (IQR)

C. The median

D. The mean absolute deviation (MAD)

Answers

Answer:

The best measure of center for this dot plot is the median.

Step-by-step explanation:

The median is your answer

What is polygon called

Answers

Answer:

trapezoid

Step-by-step explanation:

look at it my guy

trapezoid lol ........

PLEASE HELP....ITS DUE TOMORROW !!!!

Answers

Answer:

Aired

Step-by-step explanation:

I need help wit this

Answers

Answer:

1.

2. $25 dollars for 10 toppings

3. $19 dollars for 6 toppings

4. 6 toppings

Step-by-step explanation:

Please help. Here's the question.

Answers

Answer:

0.2

Step-by-step explanation:

U need to count how many times it goes up and divide 0.4 by 2

Answer:

x - 3.8 = y

Step-by-step explanation:

3.8 - 3.8 = 0

4.2 - 3.8 = 0.4

5.1 - 3.8 = 1.3

7.3 - 3.8 = 3.5

If the sides of a right triangle are 6 feet and 8 feet, what is the length of the hypotenuse? *

Answers

Answer:

10 feet

Step-by-step explanation:

pythagorean theorem

Answer:

Hypotenuse = 10.

Step-by-step explanation:

h^2 = 6^2 + 8^2

= 36 + 64

= 100

So h= 10.

find the correct answer.....

Answers

Answer:

the answer is a

Step-by-step explanation:

a is .75 shaded in then there are 5 sections in the shaded area

Answer:

D is the correct option.

Step-by-step explanation:

I used the elimination method to solve this. so we can see that there is 100 boxes and we need to 75 to be shaded. only C and D have 75 squares shaded so we can eliminate A and B. now we have to divide by 5. Square C is divided 3 times while square D is divided 5 times, so square D is correct.

Have a nice day! :-)

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