1.Amulya is x years now. Write expressions for her age 5 years ago?

Take Sarita’s Age to be y years
a) What will be her age 5 years from now?
b) What was her age 3 years now?
c) Sarita’s grandfather is 6 times her age. What is the age of her grandfather?
d)Grandmother is 2 years younger than grandfather. What is his grandmother ’s age?
e) Sarita’s father’s is age is 5 years more than 3 times Sarita’s age. What is her father’s age?

Answer:

i think that all of them EXCEPT the last one are correct. Explained below

9514 1404 393

Answer:

  $708.87

Step-by-step explanation:

The price with tax included is ...

  660.95 + 0.0725×660.95 = 660.95(1 +0.0725) = 708.87

The total cost of the bicycle with tax is $708.87.

Answer:

$ 708.87

Step-by-step explanation:

Think that, a bicycle has listed price of $ 100,

Listed price              Tax rate            Total cost of the bicycle with sales tax

$ 100                           7.25                       107.25

$ 660.95                                                     x

Let the Total price of the bicycle be x

Now you can create a equation like this,

[tex]\frac{100}{660.95}=\frac{107.25}{x}[/tex]

Use cross multiplication, and find out the total cost of the bicycle with sales tax.

[tex]100x=660.95*107.25[/tex]

[tex]100x=70886.8875[/tex]

[tex]\frac{100x}{100} =\frac{70886.8875}{100} \\[/tex]

[tex]x=708.8688[/tex]

Therefore, the total cost of the bicycle with sales tax is,

≈ $ 708.87

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

Option A) 32

Step-by-step explanation:

Given the quadratic function, g(x) = x²- 5x + 8:

In order to evaluate and determine the output value given g(8), substitute the input value into the function:

g(x) = x²- 5x + 8

g(8) = (8)²- 5(8) + 8

g(8) = 64 - 40 + 8

g(8) = 32

Therefore, the correct answer is Option A) 32.

Answer:

m <5=91 is the correct response to this question

The greatest number of pots that can be filled is 3.

In order to determine the greatest number of pots that can be filled, the quantity of soil available would be divided by the capacity of each pot.

Number of pots that can be filled = 1 1/4 ÷ 2/5

= 5/4  ÷ 2/5

= 5/4 x 5/2 = 25/8 = 3 1/8

Thus, the greatest number of pots that can be filled is 3.

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Mr. Thomas would take 0.5 (half) day for the revenue for each game to be the same.

Revenue is the total amount of money made from selling a particular number of items.

The revenue for math game is:

M(d)=2x² + 8x + 2

While the revenue for Reading Game is:

R(d)=3x+5

For the revenue of each game to be the same, hence:

M(d) = R(d)

2x² + 8x + 2 = 3x + 5

2x² + 5x - 3 = 0

x = -3 or x = 0.5

Since the number of days cannot be negative, hence it would take 0.5 (half) day for the revenue for each game to be the same.

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Answer:

y=-3-3x

Step-by-step explanation:

Transpose the equation for y

y=-12/4-12x/4

y=-3-3x

They all have a difference of 13.

So each time 13 is added to get the next number.

Answer:

Step-by-step explanation:

$63.03 money

Answer:

with what

Step-by-step explanation:

Answer:

help with? there's nothing there

Answer:

V = 2968.8 cm³ or 2969 cm³

Step-by-step explanation:

Given the radius, r = 7.5 cm, of a cylindrical coffee can whose height, h = 16.8 cm:

We can find the volume of a cylinder by using the following formula:

V = πr²h

Substitute the given values into the formula:

r = 7.5 cm

h = 16.8 cm

V = πr²h

V = π(7.5)²(16.8)

V = π × 56.25 × 16.8

V = 2968.8 cm³ or 2969 cm³

Therefore, the volume of a coffee can is 2969 cm³.

Answer:

Mixed=7 14/25 improper=189/25

Step-by-step explanation:

Answer:

x + 15

Step-by-step explanation:

9x + 25 + x + 5 = 180

9x + x + 25 + 5 = 180

10x + 30 = 180

10x = 180 - 30

10x = 150

x = 150÷10

x = 15.

Answer:

93.684

Step-by-step explanation:

They just give a 5% bonus to the price of the lunch

Answer:

There are 16 cows and 32 chickens on the farm.

Step-by-step explanation:

First, each cow and chicken has one head each, obviously. That means that the 48 corresponds to the total number of animals on Farmer John's farm. Since chickens have 2 legs and cows have 4 legs, that means that the 128 represents the separate amount of cows and chickens there are. We can let c equal the number of cows, and h equal the number of chickens. We know that the total number of animals is 48, so c + h = 48. We know that for each cow, there are 4 legs, and for each chicken there are 2 legs, so 4c + 2h = 128.

Now, we can solve by substitution. Multiplying the first equation by 2, we have 2c + 2h = 96. We can subtract this from the second equation to get 2c = 32, and c = 16. That means there are 16 cows on the farm, and since c + h = 48, there are 48 - 16 = 32 chickens on the farm.

The number of chicken are 32 and the number of cows is 16, 128 represents the total number of legs of the chicken and cows. In which 64 legs are of chicken and 64 legs are of cows, and 48 represents the total number of heads in which 32 heads are of chicken and 16 heads are of cows.

Given :

Farmer John has cows and chickens on his farm. His farm animals have 128 legs and 48 heads in total.

a) Remember a cow has one head and 4 legs and a chicken has one head and 2 legs.

Let the total number of chickens be 'x' and the total number of cows be 'y'. Then the total number of heads are:

x + y = 48

x = 48 - y    --- (1)

The linear equation that represents the total number of legs is given by:

2x + 4y = 128   --- (2)

Now, substitute the value of 'x' in equation (2).

2(48 - y) + 4y = 128

96 - 2y + 4y = 128

2y = 32

y = 16

Now, substitute the value of 'y' in equation (1).

x = 48 - 16

x = 32

So, the number of chicken are 32 and the number of cows are 16.

b) 128 represents the total number of legs of the chicken and cows. In which 64 legs are of chicken and 64 legs are of cows.

c) 48 represents the total number of heads in which 32 heads are of chicken and 16 heads are of cows.

For more information, refer to the link given below:

https://brainly.com/question/11897796

Answer:

The scale is 1:18 for the entire room, 1 inch in the diagram for 18 inches IRL

Step-by-step explanation:

12 inches = 1 foot

Convert the feet to inches, then divide both sides of the ratio by the # of inches in the diagram

So for length:

10:(15*12)

10:180

1:18

And for width:

8:12(12)

8:144

1:18

Answer:

18 inches

Step-by-step explanation:

The question asks for scale of inches in the drawing and the actual room, so first convert 15 ft and 12 ft into inches.

1 foot= 12in x 1ft= 12 inches

15 feet= 12in x 15ft = 180 inches

12 feet= 12in x 12ft = 144 inches

The room is 180 inches long and 144 inches wide.

To find the scale, set up a proportion to the drawing to the room.

[tex]\frac{10}{8} =\frac{180}{144}[/tex]

You can see that the scale is 18 inches because to get from 180 to 10, you multiply by 18, and the same thing as 8, you would multiply 8 by 18 to get to 144.

Answer:

2 1/2 mph

Step-by-step explanation:

Answer:

4 9/10

Step-by-step explanation:

trust me i tried posting a pic of my work but it wont load but it is 4  9/10

Answer:

16 I guess.

Step-by-step explanation:

lolololololol?

Check the picture below.

F = sales for Friday

we know that the total of weekend sales for Germany was F + 317 + 405.

we also know that 405 is really 37.19% of that amount, say "x", which is the 100%, so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 405&37.19\\ x&100 \end{array}\implies \cfrac{405}{x}=\cfrac{37.19}{100}\implies 40500=37.19x \\\\\\ \cfrac{40500}{37.19}=x\implies 1089~\approx ~ x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{friday}{F} + \stackrel{sat/sun}{317} + \stackrel{monday}{405} \approx 1089\implies F +722 \approx 1089\implies \boxed{F\approx 367}[/tex]

[tex]3 \times 25\% \times 40 = 3 \times \dfrac{25}{100} \times 40 = 3 \times 10 =30[/tex]

The value of the numerical expression 3 × 25% × 40 will be 30.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 3 × 25% × 40

Simplify the expression, then the value of the expression will be given as,

⇒ 3 × 25% × 40

⇒ 3 × 0.25 × 40

⇒ 30

The value of the numerical expression 3 × 25% × 40 will be 30.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Using probabilities, it is found that the expected profit of one round of this game is of $0.

A probability is the number of desired outcomes divided by the number of total outcomes.

Hence, since the coin and the dice are independent, the probability of winning is:

[tex]p = \frac{1}{2} \times \frac{2}{6} = \frac{1}{6}[/tex]

The expected value is the sum of each outcome multiplied by its respective probability.

In this problem:

Then:

[tex]E(X) = 30\frac{1}{6} - 6\frac{5}{6} = 5 - 5 = 0[/tex]

The expected profit of one round of this game is of $0.

A similar problem is given at https://brainly.com/question/24855677

Answer: fifths

Step-by-step explanation:

fifths because you would divide the 3 loves with the amount of people there is.

Answer:

N=3.5

Step-by-step explanation:

it is 3.5 because it said line p is the perendicular bisector so the triangle has to be equal. so the line ZY=XY

14/4=3.5

Answer:

SSS:

Draw a triangle with sides of 2 cm, 3cm and 4cm and another one of 4cm, 6cm and 8 cm. Both will be SSS congruent.

SAS:

Draw a triangle with sides of 2 cm, 3 cm and another side of your choice. The angle between sides of 2 and 3 cm is 30 degrees. Now draw a triangle with sides of 4 cm, 6cm and another side of your choice (but this one cannot be the double of the 3rd side of the first triangle!) . The angle between the sides of 4 cm and 6 cm should be 60 degrees. Now you have 2 SAS congruent triangles.

Answer:

75%

Step-by-step explanation:

now we can see that our fraction is 75/100 which means that 42/56 as a percentage is 75%

Answer:

  A. C(F) = 5/9F -(17 7/9)

  B. slope: 5/9

  C. y-intercept: -17 7/9

Step-by-step explanation:

The question tells us that the independent variable is the temperature in degrees Fahrenheit. Then the given ordered pairs are ...

  (F, C) = (32, 0) and (212, 100)

The slope can be found from the slope formula:

  m = (y2 -y1) / (x2 -x1)

  m = (100 -0)/(212 -32) = 100/180 = 5/9

The y-intercept can be found from the slope-intercept equation for a line:

  y = mx +b

  b = y -mx

Using the first point, we have ...

  b = 0 -(5/9)(32) = -160/9 = -17 7/9

Using the found values for m and b, the slope-intercept equation can be written ...

  C(F) = 5/9F -(17 7/9)

__

The slope was found in part A to be 5/9. This means each degree Fahrenheit corresponds to 5/9 of a degree Celsius.

__

The y-intercept was found in part A to be -17 7/9. This means 0 °F corresponds to -17 7/9 °C.

a) x²+6x

b)5x²-x

c)12x²+15x

d)8x²-12xy

Answer:  

[tex]\frac{-15}{-11}[/tex]

Step-by-step explanation:

To simplify more known as reduced we have to find the fraction as and equivalent fraction

Equivalent Fraction - are the fractions that have different numerators and denominators but are equal to the same value.  

To find the   we must list out the  of   and  

[tex]77:1, 7, 11 ,77\\\\1, 3, 5, 7, 15, 21, 35 , 105[/tex]

Our [tex]GCF[/tex] is [tex]7[/tex]

Definition of reduce - reduction refers to the rewriting of an expression into a simpler form

Divide the numerator and denominator by [tex]7[/tex]