The present age of Madison's Mother is 3 time that of Madison. After 6 1/4 years, the sum of their age will be 53 3/4 years. Find their present ages. (Estimate to the nearest whole number)

Answers

Answer 1

Answer: [tex]10, 31\ \text{years}[/tex]

Step-by-step explanation:

Given

The present age of Madison's Mother is three time that of Madison

Suppose the Present age of Madison is [tex]x[/tex], so age of her mother is [tex]3x[/tex]

After [tex]6\dfrac{1}{4}\ \text{years}[/tex], the sum of their age will be [tex]53\dfrac{3}{4}\ \text{years}[/tex]

[tex]\therefore (x+6\dfrac{1}{4})+(3x+6\dfrac{1}{4})=53\dfrac{3}{4}\\\\\Rightarrow 4x+2\times \dfrac{25}{4}=\dfrac{53\times 4+3}{4}\\\\\Rightarrow 4x+\dfrac{50}{4}=\dfrac{215}{4}\\\\\Rightarrow 4x=\dfrac{215-50}{4}\\\\\Rightarrow x=\dfrac{165}{16}\\\\\Rightarrow x= 10.31\approx 10[/tex]

Madison mother's age [tex]3x=30.93\approx 31\ \text{years}[/tex]


Related Questions

Can someone help me out

Answers

Answer:

34

Step-by-step explanation:

Perimeter,

2×(8+5+4)

= 34 units

Answered by GAUTHMATH

Question No.b
Find the products or quotient in the exponential forms by using law of indices
The answer will be :- 3^9

Answers

Answer:

3*6 × 3*-3 × 3*6

3*(6-3+6)

3*9

solve the inequality and graph the solution

-5-7x < -40

Answers

Answer:

x > 5

Step-by-step explanation:

-5-7x < -40

Add 5 to each side

-5+5-7x < -40+5

-7x < -35

Divide by -7, remembering to flip the inequality

-7x/-7 > -35/-7

x > 5

Open circle at 5, going to the right

What is the common difference for this arithmetic sequence?
54, 50, 46, 42, 38, ...

Answers

Answer:

B. 4

Step-by-step explanation:

54 - 4 = 50

50 - 4 = 46

46 - 4 = 42

42 - 4 = 38

Answer: D. -4

Step-by-step explanation: took the quiz and got it right.

Alex wants to test the reliability of “lie detector tests,” or polygraph tests. He performs a polygraph test on a random sample of 12 individuals. If there is more than a 50% chance that the tests result in no false positives (that is, the test does not result in a true statement being recorded as a lie), Alex will conclude that the tests are reliable. If the probability of a lie detector test resulting in a false positive is 5.5%, what will Alex conclude? Use Excel to find the probability, rounding to three decimal places.

Answers

The correct statement is test is reliable and authentic as the probability of no false positives is more than 0.5

Given that

[tex]H_o:P= 0.50\\\\H_1:P>0.50[/tex]

Now following calculations to be done to reach the conclusion:

There is no false positive as

= 100 - 5.5

= 94.5%

[tex]\hat P =0.945, n = 12[/tex]

Now

[tex]z = \frac{\hat P - P}{\sqrt\frac{P(1-P)}{n} }\\\\=\frac{0.945-0.5}{\sqrt\frac{0.5\times0.5}{12} } \\\\= 3.08[/tex]

So

P value = P(z >3.08) = 0.0010

Therefore we can conclude that test is reliable and authentic as the probability of no false positives is more than 0.5

Learn more about the polygraph test here:

brainly.com/question/3790493

Can someone help me out

Answers

Answer:

40.2

Step-by-step explanation:

Circumference = 2πr

Plug in:

2π6.4

6.4 × 2 = 12.8

π = 3.14

12.8 × 3.14 = 40.1920.... = 40.2

The answer is 40.2

Hope this helped.

Answer:

Your answer should be 20.1

Step-by-step explanation:

6.4 x 3.14= 20.096

Rounded to the nearest tenth is 20.1

hope this helps c:

-1/2(6x+10)=13 please help I’m a lil confused on it

Answers

Answer:

x=-6

Step-by-step explanation:

-1/2(6x+10)=13

Distribute

-3x -5 = 13

Add 5 to each side

-3x-5+5 = 13+5

-3x = 18

Divide by -3

-3x/-3 = 18/-3

x=-6

Fill in the missing statements and reasons in the proof

Answers

Answer:

1. Given

2. Vertical angle theorem

3. AB≅DB, EB≅CB, m<ABC≅m<DBE

4. △ABC ≅ △DBE

Hope this helps :D

if tge angle at the center is 62° and the radius is 12 cm.. find the length of arc​

Answers

Answer:

Step-by-step explanation:

r = 12 cm

Theta = 62

Length of arc = [tex]\frac{theta}{360}*(2\pi r)[/tex]

                      [tex]=\frac{62}{360}*2*3.14*12[/tex]

                      = 12.98 cm

Which of the following is 1 2 over 4 in its simplest form?

Answers

Answer:

its 3

Step-by-step explanation:

3 is your answer I hope this help

Answer:

i don' know

Step-by-step explanation:

PLSS HELPP
I already know the answer just help me by plotting them in the graph.

Answers

Answer:

plotting the (x,y) coordinates in graph

2a( 3a + b)- 3a(2a+4b)

Answers

Answer:

-10ab

STEP BY STEP EXPLANATION

2a (3a + b) -3a(2a +4b)

6a² + 2ab - 6a²- 12ab

2ab-12ab 6a²-6a²

-10ab

Hope this will help you if not then sorry :)

Answer:

[tex]2a( 3a + b)- 3a(2a+4b)[/tex]

Expand by distributing terms.

[tex]6a ^{2} +2ab-3a(2a+4b)[/tex]

Expand by distributing terms.

[tex]6a 2+2ab-(6a^{2} +12ab)[/tex]

Remove parentheses

.[tex]6a ^{2} +2ab-6a^{2} -12ab[/tex]

Collect like terms.

[tex](6a^{2}-6a^{2})+(2ab-12ab)[/tex]

[tex]=-10ab[/tex]

OAmalOHopeO

x^2-4x^2y^2+y^2+2*x*y

Answers

Answer:

(x + y - 2xy)*(x + y + 2xy)

Step-by-step explanation:

x^2-4x^2y^2+y^2+2*x*y

=x^2 + 2xy + y^2 - (2xy)^2

=(x + y)^2 - (2xy)^2

=(x + y - 2xy)*(x + y + 2xy)

Pamela is 14 years younger than Jiri. The sum of their ages is 52. What is Jiri's age?

Answers

Answer:

33

Step-by-step explanation:

Pamela-x

Jiri-x+14

x+x+14=52

2x=52-14

2x=38

x=19-Pamela

19+14=33-Jiri

check: 19+33=52

Answer: Jiri is 33 years old, and Pam is 19.

Step-by-step explanation:

Let's put Jiri as x, and Pam as y. We know that Pam's and Jiri's age =52. Pam is 14 years younger than Jiri(x)

You can model the situation by two equations:

y=x-14

x+y=52

Substitute y into second equation

x+x-14=52

2x=66

x=33

Jiri is 33

and back to the first equation

y=33-14=19, Pamela's age.

¿Qué valor de m creará un sistema de líneas paralelas sin solución? y = mx - 6 8 x - 4 y = 12 Una cuadrícula de coordenadas con una línea etiquetada como 8 x menos 4 y es igual a 12. La línea pasa por un punto en (0, menos 3), (1, menos 1) y un punto en (1,5, 0). - 2 - 2

Answers

Answer:

Hello,

m=2

(0,-3) True

(1,-1) True

(1.5,0) True

(-2,-2) False

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}y&=&mx-6\\8x-4y&=&12\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}y&=&mx-6\\y&=&2x-3\\\end{array}\right.\\\\\\The\ slope\ must\ be\ the\ same:\ m=2\\\\\\\begin{array}{c|c}&y=2x-3\\---&--------\\x&y\\0&2*0-3=-3\\1&2*1-3=-1\\1.5&2*1.5-3=0\\-2&2*(-2)-3=-7\\\end{array}[/tex]

Factorise.. 25a sq. - 9b sq. please tell the answer​

Answers

Answer:

(5a + 3b)(5a - 3b)

Step-by-step explanation:

Given,

[tex] {25a}^{2} - {9b}^{2} [/tex]

[tex] = {(5a)}^{2} - {(3b)}^{2} [/tex]

Since,

[tex] {x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]

Then,

= (5a + 3b)(5a - 3b) (Ans)

PLS HURRY!! PLS
solve:-10k2+7

Answers

Answer:

Degree: 2

Polynomial type: Quadratic

Step-by-step explanation:

One is asked to identify the degree and type of polynomial when given the following expression:

[tex]-10k^2+7[/tex]

The degree of a polynomial refers to the exponent to which it is raised. In essence, the largest exponent in the expression. In this case, the largest exponent in this polynomial is (2). An expression to the second degree is referred to as a quadratic expression.

Help please, I need with the question​

Answers

Answer: [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

tangent of ∠PLM = [tex]\frac{opposite}{adjacent} =\frac{4}{3}[/tex]

Answer:

PLM=4/3

Step-by-step explanation:

help me with this question: Find y

Answers

Answer:

y = 4

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle θ = 45

Hypothenus = 4√2

Adjacent = y =?

The value of y can be obtained by using cosine ratio as illustrated below:

Cos θ = Adjacent / Hypothenus

Cos 45 = y / 4√2

Cross multiply

y = 4√2 × Cos 45

Recall

Cos 45 = 1 / √2

Therefore,

y = 4√2 × 1/√2

y = 4

Tina's book bag contains 12 fiction books and 4 non-fiction books. What percentage of the
books is non-fiction?

Help! Homework due at 6:30 help ASAP! Thank you!

Answers

25%

Step-by-step explanation:

# of non-fiction books ÷ # of total books = percentage of non-fiction books

4 non-fiction books + 12 fiction books = 16 total books

4 non-fiction books divided by 16 total books = percentage of non-fiction books

4÷16= 0.25

0.25 x 100 = 25%

Answer: 0.48 percent

Step-by-step explanation:

PLS HELP ME RN I AM FAILING AND NEED HELP ITS PYTHAGOREAN THEOREM

Answers

Answer:

9.89949 or 9.9

Step-by-step explanation:

7^2 + 7^2 = c^2

49+49=98

square root of 98 = 9.89949

Pythagoren theorem is a^2 + b^2 = c^2

In this case 7^2 + 7^2 =c^2

49 + 49 = 98^2

But you dont want the second number squared so you find the square root if it. In this case square root 98 = 9.899494937

Since it say round to the nearest tenth however it will look more like this 9.9

Good Luck

Is the following number rational or irrational?
0.7
Choose 1 answer:
Rational
Irrational

Answers

Correct answer:
Rational Number

The largest U.S. standard postage stamp ever issued has a width of about
3
1 inch, which was of the height of the stamp. Find the height of the stamp.
4.

Answers

Answer:

SOLUTION: " The largest US standard postage stamp ever issued has a width of about 1 inch, which was 3/4 of the height of the stamp. Write and solve an equation to find the height of the st

In Exercises 51−56, the letters a, b, and c represent nonzero constants. Solve the equation for x
ax + b = c

Answers

Answer:

x = (b-c)/a

Step-by-step explanation:

ax + b = c

Subtract b from each side

ax+b-b = c-b

ax = b-c

Divide by a

ax/a = (b-c)/a

x = (b-c)/a

Answer:

x= (C-B)A

Step-by-step explanation:

in a survey of Swami student it was found that 60% of student studies in math and 40% study science if 40% students study both the subject and 10% did not any of the subject by drawing of exam find the ratio of the number of students who is the distance to the total number of students​

Answers

Answer:

Step-by-step explanation:

150% = 150 ÷ 100 150% = 1.5

Please hurry I will mark you brainliest

Answers

Answer:

The sum of interior angle is 360°

Given m|n, find the value of x.
(6x+9)
(4x-19)
Answer:
Submit Answer
attempt i out of 2
I NEED HELP PLS

Answers

Answer:

x = 19

Step-by-step explanation:

The angles sum are complementary so they will sum to 180

(6x+9) +(4x-19) = 180

Combine like terms

10x - 10 = 180

Add 10 to each side

10x-10+10 =180+10

10x =190

Divide by 10

10x/10 = 190/10

x = 19

What is 4 1⁄2 cm in millimetres

Answers

Answer:

the answer is 205 millimeters

Answer:

205 millimeters.

Step-by-step explanation:

just is

solve for y.

y + 5.74 = 9.62

Answers

Answer:

3.88

Step-by-step explanation:

1. Subtract 5.74 from both sides of the equation

9.62-5.74=3.88

it’s 3.88 okkkkkkkkk


HELP ASAP!!!



Find the length of AB.
6 in
30°
В
AB = [? ]in

Answers

Answer:

30/360 ×π r^2 = AB

AB = 30 /360 × π ×6^2

AB = 9.42 IN

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