Mummy is 32 years older than her daughter, Aliyah. However, she is 8 years younger than daddy. The total age of the three of them is 144. What is daddy's age? 6​

Answers

Answer 1

Answer:

Father's age = 64 years

Step-by-step explanation:

Given:

Mummy's age = Aliyah's age + 32

Father's age = Mummy's age + 8

Tota age = 144

Find:

Father's age

Computation:

Assume;

Aliyah's age = a

So,

Mummy's age = a + 32

Father's age = a + 32 + 8

Father's age = a + 40

Aliyah's age + Mummy's age + Father's age = Total age

a + a + 32 + a + 40 = 144

3a + 72 = 144

3a = 144 - 72

3a = 72

a = 24

Father's age = a + 40

Father's age = 24 + 40

Father's age = 64 years


Related Questions

Graph the image of Kite BCDE after a translation 5 units down.​

Answers

Answer:

See attachment for the translated kite

Step-by-step explanation:

Given

The attached image of BCDE

Required

Translate 5 units down

From the attachment;

[tex]B = (-7,0)[/tex]

[tex]C = (0,5)[/tex]

[tex]D =(-7,10)[/tex]

[tex]E = (-10,5)[/tex]

The rule to translate 5 units down is:

[tex](x,y) \to (x,y-5)[/tex]

So:

[tex]B' = (-7,-5)[/tex]

[tex]C' = (0,0)[/tex]

[tex]D' = (-7,5)[/tex]

[tex]E' = (-10,0)[/tex]

See attachment for the translated kite

Tom had some blocks that were all the same size and shape. He used two of them to make this regular hexagon He placed six more blocks around this hexagon to make a bigger regular hexagon
How many more blocks does he need to place around this shape to make the next bigger regular hexagon?
(A) 6
(B) 10
(C) 12
(D) 18

Answers

Answer:

Well it all started by drawing some equilateral triangles so that they made a regular hexagon: hexagon from unit length triangles. Then we ...

‼️‼️need help asap ‼️‼️

Answers

Answer:

D

Step-by-step explanation:

(f-g)(x) = f(x) - g(x)

=3x^3+8x^2-7x-4-(2x-6)

=3x^3+8x^2-9x+2

Urgent!!!!! please help ​

Answers

Answer:

A

Step-by-step explanation:

I will edit and add my explanation

The 3 and 2 are both positive if the information that was given in the screenshot is standalone.

So if the numerals are both positive, they must be traveling to the right because the number line is increasing towards the right.

We can narrow the choices down to A and C because they both move right.

Since neither of the numbers are negative, it must start from the center 0 and increase, so it must be A.

3 * 2 is also 6, so it must end on 6.

2/5+3/7 is the same as?​

Answers

Answer:

29/35

Step-by-step explanation:

Least common denominator of 5 and 7 is 35

[tex]\frac{2}{5}=\frac{2*7}{5*7}=\frac{14}{35}\\\\\frac{3}{7}=\frac{3*5}{7*5}=\frac{15}{35}\\\\\frac{2}{5}+\frac{3}{7}=\frac{14}{35}+\frac{15}{35}\\\\ \ = \frac{14+15}{35}\\\\ = \frac{29}{35}[/tex]

Please help me Thank you​

Answers

Step-by-step explanation:

help me you nedd to add position

I have 8 carrots my Brother Ate 2
How Much I have left?​

Answers

Answer:

6?

Step-by-step explanation:

..........................

HELPPPPP PLEASEEEE ASAPPPP WILL GIVE POINTS/BRAINLIEST

A function is shown in the table.

x g(x)
−3 17
−1 −3
0 −4
2 13

Which of the following is a true statement for this function? (5 points)

The function is increasing from x = −3 to x = −1.
The function is increasing from x = −1 to x = 0.
The function is decreasing from x = 0 to x = 2.
The function is decreasing from x = −3 to x = −1.

Answers

Answer:

2nd

Step-by-step explanation:

i know I don't have an exlanation'

PLEASE HELP WKLL MARK IF YOU HELP ME !!!

Answers

Answer :

Let in Triangle abc,

a=90,

b = (we have to find)

c = (we have to find)

c + 144=180 (linear pair)

c = 180 - 144

c = 36

a + b + c = 180 (Angle sum property)

90 + b + 36 = 180

126 + b = 180

b = 180-126

b = 54

The elevation of Sports Authority Field in Denver, Colorado is 5280ft. If this is 275ft higher than seven times the elevation of Lucas Oil Field in Indinapolis, what is the elevation of Lucas Oil Field?

Answers

Answer:

The elevation of Lucas Oil Field is of 715 feet.

Step-by-step explanation:

Elevation of Sports Authority Field:

Of 5280 ft.

Compared to Lucas Oil Field:

275ft than seven times the Lucas Oil Field elevation of x.

Equation:

[tex]275 + 7x = 5280[/tex]

What is the elevation of Lucas Oil Field?

Solving the above equation:

[tex]7x = 5280 - 275[/tex]

[tex]7x = 5005[/tex]

[tex]x = \frac{5005}{7}[/tex]

[tex]x = 715[/tex]

The elevation of Lucas Oil Field is of 715 feet.

20. What is the next term in the following sequence:
Please hurry

Answers

9514 1404 393

Answer:

  (a)  -1215/32

Step-by-step explanation:

The sequence is apparently geometric. The common ratio is ...

  (-135/2)/90 = -135/180 = -3/4

Then the next term is ...

  (405/8)(-3/4) = -1215/32

Answer:

abcdefg omlllfffg

Step-by-step explanation:

Find the quotient of 4x^3-12x² + 8x/ - 4x
O x2 + 3x - 2
O x²-12x + 4
O -x2 – 3x + 2
O x² + 12x - 4​

Answers

Answer:

-x^2+3x-2

Step-by-step explanation:

I think one of the signs are wrong in the equation.

> Next question Get a similar question You this question below Find the distance between the points (-3,-3) and (-5,-1) Distance vo Х Submit Question​

Answers

Answer:

The answer is the square root of 8, or 2root2.

Step-by-step explanation:

Use the distance formula.

d = sqrt((-3-(-5))^2 + (-3-(-1)))

d = sqrt(2^2 + 2^2)

d = sqrt(4 + 4)

d = sqrt8

d = sqrt4 * sqrt2

d = 2 * sqrt2

 please helpppp!!! it’s timed!!!! thank u for helping!!!!!

Answers

Answer:

[tex]4 \pi {?}^{2} [/tex]

hope it is helpful to you

How is the graph of y = 8x2 − 1 different from the graph of y = 8x2?


It is shifted 1 unit down.


It is shifted 1 unit to the right.


It is shifted 1 unit to the left.


It is shifted 1 unit up.

Answers

Answer:

since it's the lhs we are concerned about, i. e., Y axis, so it must be either up or down. now look at the question, it says 8x2 - (1), it means one lower value of y i. e., 1 unit down

Answer:It is shifted 1 unit down.

Step-by-step explanation:

Which of the following is most likely the next step in the series?
B

Answers

Answer:

C

Step-by-step explanation:

The pattern seems to go as follows:

1. Top left portion is in blue

2. Top left portion is in blue as well as the rest of the upper half filled with red.

3. Another portion of blue is added directly underneath the red.

This leads me to believe that the colors are alternating from blue to red to blue to finally, red. This makes your answer C. Please let me know if you still need help!

The answer would be C because if you match the color with the number, then C would make the most sense and would be the correct answer. For example, the circle started of with a blue triangle and with number 1 then it had a red triangle with number 2 , and hence if you follow and match the color and the numbers. It would lead you to your answer.

Therefore, the correct answer is C. Hopefully this helps.

Use I = PRT to solve.

Answers

Answer: 11%

Step-by-step explanation:

Since the formula for interest is:

I = PRT

where.

P = 1200

I = 99

T = 0.75

I = PRT

R = I/PT

R = 99/(1200 × 0.75)

R = 99/900

R = 11%

Therefore, the rate is 11%

simplify (1+3i) + (2-5i)​

Answers

Answer:

3 - 2i

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/Coefficients

Algebra II

Imaginary number i = √-1

Step-by-step explanation:

Step 1: Define

Identify

(1 + 3i) + (2 - 5i)

Step 2: Simplify

[Addition] Combine like terms:                                                                        3 + 3i - 5i[Subtraction] Combine like terms (i):                                                               3 - 2i

The first five terms of a sequence are 34, 35, 36, 37, 38.
Write down the general term of the sequence

Answers

33+n

Hope it helps you...

what does $42,690e(0.03)(20) equal​

Answers

Answer:

77,786.251

Step-by-step explanation:

Please show work thank you

Answers

Answer

No solution

Step-by-step explanation:

4y + 2x = 18

3x + 6y = 26

You need either the x's or the y's to have the same coefficients.

let's line things up first.

4y + 2x = 18   (multiply by 3)

6y + 3x = 26  (multiply by 2)

to keep numbers relatively small we will multiply the top equation by 3 and the bottom equation by 2. Multiply all terms. This will make the coefficients equal.

12y + 6x = 54

12y + 6x = 52

So, if you subtract them from each other you get :

0 = 2

When this happens the solution set is : no solution

Answer:

Impossible

Step-by-step explanation:

Ok, so we first rearrange for convenience:

2x+4y=18

3x+6y=26

We multiply the two equations to eliminate x:

2x+4y=18 * -3

3x+6y=26 * 2

So:

-6x-12y=-54

6x+12y=52

And now we add the two equations:

0+0= -2

Try multiplying the two equations by any other number which will lead to them cancelling, (eg. -9, 6), still the equation will not work.

Which of the following theorems verifies that DEF = XYZ?

Answers

Answer:

AA

Step-by-step explanation:

HL = requires actual measurements of sides

LL = There are no measurements for the legs

HL = There are no measurements for the legs or hypotenuse

HA = Doesn't exist

I really need your help. I am having a lot of difficulty in solving this question, so please help me..​

Answers

Answer:

Step-by-step explanation:

[tex]log\ \frac{1}{x} = - log \ x \\\\log_a \ a = 1\\\\log \ a^x = x \ log \ a[/tex]

(iii)

[tex]m = log_2 \ \frac{1}{32}\\\\m = log_2 \ \ 32^{-1}\\\\m = - 1 \ log_2 32\\\\m = - 1 \ log_2 \ 2^5\\\\m = -1 \times 5 \ log_2 \ 2\\\\m = -5 \ log_2 \ 2\\\\m = -5 \times 1 = -5[/tex]

(iv)

[tex]log_a \ m = 0\\\\m = a^0 = 1[/tex]                       [tex][ \ log _a \ 1 = 0 \ ][/tex]

(vii)

[tex]log_{32} \ 8 = m\\\\8 = 32^m\\\\8^{ \frac{1}{m}} = 32 \\\\(2^{3 })^ { \frac{1}{m}} = 2^{5}\\\\2^{\frac{3}{m}} = 2^5 \\\\\frac{3}{m} = 5\\\\3 = 5 \times m \\\\m = \frac{3}{5}[/tex]

(viii)

[tex]log_5 \ ( 2m + 5 ) = 3\\\\(2m +5 ) = 5^3\\\\2m + 5 = 125\\\\2m = 125 - 5 \\\\2m = 120 \\\\m = 60[/tex]

(x)

[tex]log_{m^3} \ 64 = \frac{2}{3}\\\\64 = (m^3)^{ \frac{2}{3}}\\\\64 = m^{ 3 \times \frac{2}{3}}\\\\64 = m ^2\\\\\sqrt{64} = m \\\\8 = m[/tex]

The mean score in an exam given to 40 students is 70. What is the sum of the 40 exam scores? A. 1500 B. 2000 C. 2800 D. 3000​

Answers

Answer:

C

Step-by-step explanation:

Mean is calculated as

mean = [tex]\frac{sum}{count}[/tex] , then

[tex]\frac{sum}{40}[/tex] = 70 ( multiply both sides by 40 )

sum = 40 × 70 = 2800 → C

 

The answer do be c doe

1. Find the least common multiple of 6 and 9. oct common multiple of​

Answers

The least common multiple is : 18

It is the lowest amount that can be reached.

Write the following as an algebraic expression. Then simplify.

The total amount of money​ (in cents) in x nickles​, (x+3) quarters​, and 3x dimes. ​(Hint: The value of a nickel is 5 ​cents, the value of a quarter is 25 ​cents, and the value of a dime is 10 ​cents.)

The total amount of money is ___ cents.
​(Simplify your answer. Do not​ factor.)

Answers

Answer:

[tex]60x+75[/tex]

Step-by-step explanation:

We want to find the total amount of money (in cents) of the expression:

[tex]\text{$x$ nickels, $(x+3)$ quarters, and $3x$ dimes}[/tex]

Since each nickel is worth five cents, each quarter 25 cents, and each dime ten cents, we can write that:

[tex]\displaystyle \text{Total}=5(x)+25(x+3)+10(3x)[/tex]

Simplify. Distribute:

[tex]T=5x+25x+75+30x[/tex]

Combine like terms. Therefore, the total amount of money (in cents) is represented by:

[tex]T=60x+75[/tex]

A college has 7 science batches and each batch has 48 students, It is compulsory for each student to do 24 hours of community service in a year. How many hours of community service does the college contribute in a year ?​

Answers

Answer:

Hello There!!

Step-by-step explanation:

Firstly, find out how many students there are in 7 batches. You can do this by timesing 48 by 7 to get 336. So there are 336 students in 7 batches. Each student does 24 hours of community service in a year so do 336 times by 24 which is 8,064. Therefore,the college contributes 8,064 hours of community service in a year.

hope this helps,have a great day!!

~Pinky~

Pls I don’t know what to do

Answers

Answer:

[tex]{ \bf{area = \pi {r}^{2} }} \\ { \tt{ = 3.14 \times {( {8.1}) }^{2} }} \\ = { \tt{206.1 \: {cm}^{2} }}[/tex]

The transformations to the parent function of a quadratic equation are given below. write an equation of the new function in vertex form

Answers

Answer:

11.f(x)=^2-3

Step-by-step explanation:

12.And slide everything five units down. So a over here that's negative three negative one. So if we slide at five you just down we go one two three four five and get here.

Hope it helps

Find h.
9 ft
h =
= [?] ft
4 ft

Hemp me solve

Answers

Answer:

9ft =2.743m

kjhgfdfvhhgddfcvh

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