This year, the sum of Mr Bellini’s age and his son’s age is 28 years. 4years ago, Mr Bellini was 5 times as old as his son
(A) How old is his son this year?
(B) How old is Mr Bellini this year?

Answers

Answer 1

Answer:

Let x = son's age

Let 38-x = Mr. Bellini's age (since the sum of their ages must be equal to 38)

Set up the equation using the second statement:

(38 - x) - 4 = 5(x - 4)

Solving,

34 - x = 5x - 20

34 + 20 = 6x

54 = 6x

x = 9 years old (son's age)

38-x = 29 years old (Bellini's age)


Related Questions

Dwayne bought 12 yards of wrapping paper.

How many inches of wrapping paper did he buy? Helppp

Answers

Answer:

432 inches

Step-by-step explanation:

Given:

Dwayne = 12 yards

Conversion: 1 yard = 3 feet = 36 inches

Use the unitary method and solve:

[tex]\implies \text{1 yard = 3 feet = 36 inches}[/tex][tex]\implies 1 \times 12 \ \text{yard} = 3 \times 12 \ \text{feet} = 36 \times 12 \ \text{inches}[/tex][tex]\implies 12 \ \text{yards} = 36 \ \text{feet} = 432 \ \text{inches}[/tex]

Thus, Dwayne bought 432 inches of wrapping paper.

A ring-shaped region is shown below.
Its inner diameter is 14 yd., and its outer diameter is 20 yd.

Answers

Answer:

160.14yd²

Step-by-step explanation:

first we find both of their areas then we subtract the small one f4om the big one

A=πr²

step 1 find area of large circle

A=3.14×(10²)

A=3.14×100

A=314

step 2 find are of small circle

A=3.14×(7²)

A=3.14×49

A=153.86

step 3 subtract small area from big area

314-153.86=160.14

Please assist with this question.

Answers

Answer:

D. [tex]\frac{-19}{74} +\frac{71}{74} i[/tex]

Step-by-step explanation:

[tex]\frac{-8+3i}{5+7i} (\frac{5-7i}{5-7i} )[/tex]

[tex]\frac{-40+56i+15i-21i^2}{25-35i+35i-49i^2}[/tex]

[tex]\frac{-40+71i-21(-1)}{25-49(-1)}[/tex]

[tex]\frac{-40+21+71i}{25+49}[/tex]

[tex]\frac{-19+71i}{74}[/tex]

[tex]\frac{-19}{74} +\frac{71}{74} i[/tex]

I hope this helps and God bless!

System a
2x+y=5 and -4x+6y=-2

system b
-10x +19y=-1 and -4x+6y=-2

Answers

Answer:

System A: x = 2, y = 1

Points: (2, 1)

System B: x= 2, y = 1

Points: (2, 1)

Step-by-step explanation:

1. Find the sum.
Use tiles to find 29 + 28.

Answers

Answer:

57?

Step-by-step explanation:

Which ratio of tablespoons of raspberries to tablespoons of sugar would make a fruitier jam

Answers

Answer:

9 to 6 is the answer to make a fruiter jam

Step-by-step explanation:

The ratio that makes a fruiter jam is 9:6

What is a ratio?

The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"

Given here: Macy's mother uses 6 tablespoon of sugar to 8 tablespoon of raspberries.

Original ratio is 4/3

Clearly only the option 9/6=3/2 is greater than 4/3

Thus 9:6 is the required ratio.

Hence, The ratio that makes a fruiter jam is 9:6

Learn more about ratios here:

https://brainly.com/question/13419413

#SPJ2

Your question is incomplete. The complete question :

Macy's aunt makes raspberry jam using 6 tablespoons of sugar and  9 tablespoons of raspberries. Macy wants to make a fruitier tasting jam. # Which ratio of tablespoons of raspberries to tablespoons of sugar would make a fruitier jam?

9 to 10

4 to 10

9 to 6

Find x if USR is supplementary to RST.

Answers

Answer: 8

Step-by-step explanation:

What is the tan if x?

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The given triangle is a right triangle, with one of the acute angle measuring 45°

let's calculate x ~

[tex]\qquad \tt \dashrightarrow \:x + 45 + 90 = 180[/tex]

[tex]\qquad \tt \dashrightarrow \:x + 135 = 180[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 180 - 135[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 45 \degree[/tex]

So, tan x is :

[tex]\qquad \tt \dashrightarrow \: \tan(x) = \tan(45 \degree) [/tex]

[ since x = 45° ]

[tex]\qquad \tt \dashrightarrow \: \tan(x) = 1[/tex]

Find the perimeter of the figure.

Answers

*Answer*= 31

*Explanation*= Some of the sides aren't given so you must look at the other side and put them in.

3+3 for the top and bottom
4+4 for both of the higher sides
2+2 for the first side of the sticking out square
0.5+0.5 for the sides of the sticking out square
2+2 for the last side of the sticking out square
4+4 for both of the lower sides

Add them all up= 3+3+4+4+2+2+0.5+0.5+2+2+4+4
= 31

Hope that helps!

Add This Equation: In Photo...​

Answers

Answer:

see below

Step-by-step explanation:

=   (5+7) / ( z+1)   =   12 / (z+1)

what is 26.4 ÷ 4.8 i need help

Answers

Answer:

Step-by-step explanation:

Answer: 5.5

Expand 26.4/4.8 by multiplying both numerator and the denominator by 10.

264/48

Reduce the fraction 264/48​ to lowest terms by extracting and canceling out 24.

11/2

Factor

11/2​=5 1/2​=5.5

hope this helps.

Mark me brainliest as well please.

Answer:

i know i said it in the text but it's 5.5

Step-by-step explanation:

Select the correct answer

Answers

Answer:

B.

Step-by-step explanation:

it's B because if you put it as a mixed number it would be 21/2 ÷ 9/4 and then the rest is easy

Answer:

B

Step-by-step explanation:

4 2/3

Find the Value of X.
Solve for X

Answers

Answer: x=21

Step-by-step explanation:


50-90=40

40=2x-2

2*21=42

42-2=40

x=21

Fill in the blanks of the sentence.

Answers

Answer:

Step-by-step explanation:

Two angles that are vertical are supplements of the same angle which means the two angles are congruent to each other.

∠A and \angle B∠B are vertical angles. If m\angle A=(3x+3)^{\circ}∠A=(3x+3) ∘ and m\angle B=(4x-8)^{\circ}∠B=(4x−8) ∘ , then find the value of x.

The answer to this question is 115 but how please leave an explanation

Answers

Answer: 11

Step-by-step explanation:

Convert 192 cups to gallons

Answers

Answer:12 gallons

Step-by-step explanation:

There are 16 cups in a gallon 16 cups =1 gallon so 192/16 is 12

Answer:

12 gallons

Step-by-step explanation:

To convert cups to gallons you must divide the volume (192) by 16.

192/16 = 12

12 gallons

Hope this helps:)

What is the surface area of the square pyramid?



Enter your answer in the box.


in²

Square pyramid net consisting of a square and four triangles. The square has length and width of eight inches. A triangle has a base of eight inches and a height of eleven inches.

Answers

Answer:

  240 in²

Step-by-step explanation:

The surface area of the pyramid is the sum of the areas of the parts of the composite figure comprising the net. That is, it is the sum of the areas of four triangles and a square.

__

Face

The area of a triangle is ...

  A = 1/2bh

For the given triangles, this is ...

  A = 1/2(8 in)(11 in) = 44 in²

__

Base

The area of the square base is ...

  A = s²

For the given dimensions, this is ...

  A = (8 in)² = 64 in²

__

Total Surface Area

The sum of the areas of the four faces and the base is ...

  total area = 4(44 in²) +64 in² = 240 in²

The surface area of the square pyramid is 240 in².

Number Concepts 1. Two hundred four thousand, fifteen is written as​

Answers

Answer:

204015

Step-by-step explanation:

Pls help what is the ratio and how do you find it​

Answers

Answer:

1:1

Step-by-step explanation:

AM= a and MB= b

But M is the midpoint,

Therefore,

a= b (AM= MB)

AM + MB = AB

2AM = AB

AM= AB/2

RATIO OF AM to MB

=

AB/2 : AB/2

= 1:1

Pls answerrrrrrrrrrrrrrrrrrrrrrrrrrr

Answers

Answer:

I dont know

Step-by-step explanation:

Sry but i dont know and it wont let me click out of add my answer thing

What is the area of the trapezoidal window below?


Answers:
A: 21m to the second power
B: 25.5m to the second power
C 22.5m at the second power
D: 18m at the second power

Answers

Answer:

B) 25.5 m²

Step-by-step explanation:

The formula to find the area of a trapezoid: 1/2 x (a + b) x h, where a and b are the parallel lines and h is the height.

1) Input the values into the formula, and solve it.

= 1/2 x (5 + 12) x 3

= 1/2 x 17 x 3

= 1/2 x 51

= 25.5

Answer:

B

Step-by-step explanation:

A = (1/2)(3)(5 + 12)

= (1/2)(3)(17)

= (1/2)(51)

= 25.5 m^2

There are 600 dishes that need to be rinsed. Eric can rinse them in 60 minutes by himself. It will take his friend Reuben 120 minutes to rinse these dishes. How long will it take them if they rinse these 600 dishes together?

Answers

I believe 3 hours, not sure. Wait and see if someone else answers!

Doug would like to construct a fence
along his property borders. The scale
on his property map is 1 inch to 3 feet.
If the perimeter of his property on the
map is 10 inches, how many feet of
fencing will he need?
[?] feet

Answers

He would need 30 feet of fencing.

he would need 30 feet of fencing

At 6 a.m. the temperature was -8°C. At noon the temperature was 3°C. What was the change of temperature between 6 a.m. and noon?

Answers

Answer:11c

Step-by-step explanation:

Use the model to write the equation that represents the problem. I have one-half of a square and I want to divide it by three-fourths. How many pieces would I have? A) 1 2 ÷ 3 4 = 2 B) 1 2 ÷ 3 4 = 3 C) 1 2 ÷ 3 4 = 2 3 D) 1 2 ÷ 3 4 = 3 2

Answers

Answer:

my oppositions C) 1 2÷3 4=2 3

What is the simple interest rate on a $520
investment that was left in an account for Z
years and earned $83.72 in interest?

Answers

16 2/3 or 16.6 repeated percent

35% of 40 is what?
55% of what number is 44?

Answers

Answer:

14

80

Step-by-step explanation:

Answer:

Step-by-step explanation:

35% of 40 is 14

55% of 80 is 44

you have -$124 in your checking account. you wrote a $75 dollar check how much money do you have in your account now

Answers

Answer:

There will be 49 dollars in your account

How much should John get back after paying for purchases totaling $5.45
when he pays $10.00

Answers

It should be $4.55. Start out with doing this. If you need any farther explanation let me know.

If y=x+4 then what is (x-y)^3

Answers

Answer:

64

Step-by-step explanation:

y = x + 4

y - x = 4

4^3 = 64

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