Poonam is five times as old as Shalini. The sum of their ages is 72

Answers

Answer 1

Answer:

Shalini = 12

Poonam = 60

Step-by-step explanation:

Let p = poonams age

Let s = shalini's age

p = 5s

p+s = 72

Substitute the first equation into the second equation

5s+s = 72

Combine like terms

6s= 72

Divide by 6

6s/6 = 72/6

s = 12

p = 5s =5*12 = 60

Shalini = 12

Poonam = 60


Related Questions

How do u write 0.57 repeating as a fraction in simplest form explain the steps please!

Answers

Answer:

57/99

Step-by-step explanation:

let's set up an equation:

x = 0.5757...

set up a second equation so the numbers after the decimal places are equal

100x = 57.5757...

subtract

100x = 57.5757...

- x = 0.5757

99x = 57

divide by 99

x = 57/99

0.57 repeating can be expressed as the fraction 19/33 in simplest form.

We have,

Let x = 0.575757... (with 57 repeatings)

Multiplying x by 100,

100x = 57.575757...

Subtracting the original x from 100x,

100x - x = 57.575757... - 0.575757...

99x = 57

To obtain x, divide both sides by 99:

x = 57/99

Dividing both the numerator and denominator by 3,

x = (57/3) / (99/3)

x = 19/33

Therefore,

0.57 repeating can be expressed as the fraction 19/33 in simplest form.

Learn more about expressions here:

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What is shrek’s ultimate life form

Answers

shrek himself is the ultimate life form

Answer:

This is Shreks ultimate form.

Step-by-step explanation:

This is Shreks ultimate form.

Lincoln's car used 16 gallons to travel 640 miles. How far can he travel on 9 gallons?

Answers

Answer: 360 miles

Step-by-step explanation: 640/16=40. 40x9=360.

360, each mile takes 40 gallons

If f(x)=−2(x+7), then what is f(−10)? 66 3434 −34negative 34 −6negative 6

Answers

The Answer is 6.

Explanation:
f(x)=-2(x+7)
f(-10)=-2((-10)+7)
f(-10)=-2(-3)
f(-10)=6

8. Tonya is cutting square frame mats to frame several square photographs. She can determine the area of the mat from the function m{x) = x2 + 6x + 9, where x is the length in inches of the side of the photograph and m(x) represents the area of the mat. Find the area of the mot given a photograph with a side length of 4.6 inches. in (DO NOT INCLUDE SPACES IN YOUR ANSWER​

Answers

Answer:

57.76 in²

Step-by-step explanation:

Plug in 4.6 as x in the equation and solve:

m(x) = x² + 6x + 9

m(4.6) = (4.6)² + 6(4.6) + 9

m(4.6) = 57.76

So, the area of the mat is 57.76 in²

Kyle's expenses are $1,850 each month. 1) How much money must Kyle earn each month to break even? A) $1,000 B) $1,675 C) $1,850 D) $2,000

Answers

I would say $2000 to break even

Frank also has an eraser. It has a mass of 3g, and volume of 1cm3.what is it’s density

Answers

Here

mass = 3g

volume = 1 cm³

we know

density = mass/ volume

            3/1 = 3g/cm³

how do you round up/down numbers PLEASE ANSWER​

Answers

Answer:If the number is over 5 then you go to the next number

Step-by-step explananation

7.99 = 8 its over 5

For an example I’ll use 999.56

It depends on what place you are rounding to but if a number is 5 or larger, you round up. And if it is 4 or smaller, round down. If you wanted to round the example to the tenths place you would look at the number to the right of it and see if it is bug enough to round. So if you were rounding the example to the tenths place it would be 999.6

A 4-ounce container of Greek yogurt contains 160 calories. Find the unit rate of calories per ounce.

Answers

Answer:

40 did it on edge

Step-by-step explanation:

The unit rate of calories per ounce will be 40 calories/ ounce

What is proportion ?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We are given that 4-ounce container of Greek yogurt contains 160 calories and it is to calculate for one ounce calories contain in Greek yogurt :

4-ounce = 160

1- ounce = 160/4

=40

Therefore, the unit rate of calories per ounce = 40 calories/ ounce.

Read more about ratio at:

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What is the quotient of StartFraction 6 Over 7 EndFraction and StartFraction 3 Over 14 EndFraction?
(A) 1/4
(B) 2
(C) 3 1/3
(D) 4

Answers

Answer:

The correct answer is (D) 4

Step-by-step explanation:

Hopes this helps!

Answer:

(D) 4

Step-by-step explanation:

6/7

÷

3/14

=  

6/7

×

14/3

=  

6 × 14

7 × 3

=  

84/21

=  

84 ÷ 21

21 ÷ 21

=  4

Find JH if I is the midpoint.

Answers

Answer:

158

Step-by-step explanation:

If I is the midpoint of JH, JI= IH

JH= JI +IH

JH= JI +JI (subst. IH= JI)

JH= 2(JI)

Since JI= 79,

JH= 2(79)

JH= 158

What is the area of a rectangle
with a length of 5 cm and a width of
4 cm

Answers

Answer:

Area = 20 cm²

Step-by-step explanation:

Area = width * length

area = 5cm * 4cm

area = 20 cm²

Answer:

20 cm

5x4 =20

length times width

The midpoint of segment AB is (-2,5). The coordinates of point A are (-7,3). Find the coordinates of point B.
A)
(3,7)
B)
(3, 1)
09
(7,3)
D)
(-13, 1)

Answers

Answer:

A) (3,7)

Step-by-step explanation:

If the value of x goes from -7 to -2, that means to get the coordinate b you have to add 5 again, so the x value of coordinate B is 3. Then, if the value of y goes from 3 to 5 you have to add 2 to the y-value again to get 7. So the y value is 7. Meaning the final answer is (3,7)

Answer:

A) (3,7)

Step-by-step explanation:

if you graph the given points you see that point A from the mid point is 2 rise and 5 run. Count that same rise over run to find B. Look at graph for help.

Mr. Rivera pours 2 cups of blue paint into a jar for each art station. How many jars can
he fill with 1 gallon of blue paint?​

Answers

Given :

Mr. Rivera pours 2 cups of blue paint into a jar for each art station.

1 cup = 8 ounces.

1 gallon = 128 ounces.

To Find :

How many jars can  he fill with 1 gallon of blue paint.

Solution :

Since, a jar is filled with 2 cups.

1 jar = 2 × 8 = 16 ounces.

So, number of jars required to fill 1 gallon of blue paint is :

[tex]n=\dfrac{128}{16}\\\\n=8[/tex]

Therefore, 8 jars are required to fill 1 gallon of blue paint.

Hence, this is the required solution.

Ok this is not a solve, more of a vocab question. Whats the term used for the number circled? Like is that called a coefficient or something??​

Answers

Answer:

I believe the term is the index number

3h-2(4h-5)=10-5h A-0 B-4 C-infinity many solutions D-no solutions​

Answers

Answer:

Step-by-step explanation:

3h - 8h + 10 = 10 - 5h

-5h + 10 = 10 - 5h

10 = 10

infinitely many solutions

1/cosec theta + cot theta -1/ sin theta=1/sin theta - 1/ cosec theta -cot
theta

Answers

Answer:

[tex]\theta =2n\pi, \;\frac{\pi}2+2n\pi \;\;\text{for all}\; n=0,1,2,...[/tex]

Step-by-step explanation:

[tex]\frac 1{\text{cosec} \theta}+\cot \theta-\frac 1{\sin \theta}=\frac 1{\sin \theta}-\frac 1{\text{cosec} \theta}-\cot \theta[/tex]

[tex]\Rightarrow \frac 2{\text{cosec} \theta}+2\cot \theta-\frac 2{\sin \theta}=0[/tex]

[tex]\Rightarrow \frac 1{\text{cosec} \theta}+\cot \theta-\frac 1{\sin \theta}=0[/tex]

[tex]\Rightarrow \sin \theta -\frac 1{\sin \theta}+\frac{\cos \theta}{\sin \theta}=0[/tex]

[tex]\Rightarrow \frac{\sin ^2\theta-1+\cos \theta}{\sin \theta}=0[/tex]

[tex]\Rightarrow \frac{-\cos ^2\theta+\cos \theta}{\sin \theta}=0\Rightarrow\frac{\cos \theta-\cos ^2\theta}{\sin \theta}=0[/tex]

[tex]\Rightarrow \cot \theta(1-\cos \theta)=0[/tex]

[tex]\text{If} \;\;1-\cos \theta=0\Rightarrow \cos \theta=1[/tex]

[tex]\Rightarrow \theta=2n\pi\;\; \text{for all}\; n=0,1,2,.....[/tex]

[tex]\text{If} \cot \theta=0\Rightarrow \frac{\cos \theta}{\sin \theta}=0\Rightarrow \cos \theta=0[/tex]

[tex]\Righarrow \theta =\frac{\pi}2+2n\pi\;\;\text{for all}\; n=0,1,2,...[/tex]

Hence, [tex]\theta =2n\pi, \;\frac{\pi}2+2n\pi \;\;\text{for all}\; n=0,1,2,...[/tex]

got this question wrong! what is the correct answer? will give brainliest and thanks

Answers

B) 1.65 × 10⁻³
Step-by-step explanation:
A number in scientific notation has the form A × 10ⁿ.
A is a number from 1 to 10, but not 10 itself and is called the coefficient.
n is an integer and is called the exponent.
To convert a small decimal number to exponential notation, you move the decimal point to the right until you have one nonzero digit in front of the decimal point.
The exponent is negative of the number of places you moved the decimal point.
To convert 0.001 65 to scientific notation:
Move the decimal point to the right until it is just past the 1. The coefficient is 1.65
Count the number of places you have moved the decimal (three). The exponent is -3.
The number in scientific notation is 1.65 × 10⁻³.

What will be the coordinates of the upper-right vertex of
the next largest (fourth) square in the pattern?
(5,5)
(7,7)
(8,8)
(16, 16)

Answers

Answer:8,8

Step-by-step explanation:

Took the test on edge

Answer:

C. (8, 8)

Step-by-step explanation:

Edge 2022. ^

2 Truths & One Lie

- 39 - b = - 3

1. The Variable is B in this Equation
2. b = -36
3. b = 36

Which one is a Lie?

Justify your decision.

WILL GIVE 20 POINTS!!

Answers

Answer:

b = 36 is the lie.

Step by step:

If we plug in b with it equaling -36 the equation will be

-39 - (-36) which you remove the minus from the -36 and change the subtraction to addition and you get

-39 + 36 = -3

In the end b = -3

So the other one must be wrong, but just incase we will plug it in.

-36 - 36 = 0

Plugging in 36 for b results in 0 which is not correct.

What is 15 to the 7 power divided by 15 to the 4 power equal to?

Answers

Answer:

3375

Step-by-step explanation:

Which of the following inequalities is not true?

|-9| ≠ |9|
-2 2 < 3
-7 ≤ -5
|-1| ≥ 0

Answers

Answer:

[tex] | - 9| = |9| [/tex]

This is because modulus number will be always positive

Hope this is correct and helpful

HAVE A GOOD DAY!

What does (-4/5) - 7/5 equal to?​

Answers

Answer:-3

Step-by-step explanation:

Answer:

-11/5

Step-by-step explanation:

-4/5 - 7/5 = (-4-7)/5 = -11/5

When all the values in a data set are written in order from least to greatest, the value that is in the middle, with an equal number of values below it and equal number of values above it, is called the _____ median mean mode range

Answers

Answer:

Median

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Can someone please work this out step by step for me

Answers

I assume we're solving for n.

3n/7 - 1 = 1/8.

First, add 1 to both sides.

3n/7 = 9/8

Now, let's multiply both sides by 7

3n = 63/8

Divide both sides by 3

n = 21/8

30. June's weekly salary is $70 less than Kelly's, which is
$50 more than Eileen's. If Eileen earns $280 per week.
how much does June earn per
week?
6.
(A) $160
(B) $260
(C) $280
(D) $300
Drew

Answers

I believe the answer is c

How do you solve this kind of equation? 9(x+2) > 9(x-3)

Answers

Step-by-step explanation:

okay so that's an inequality. You solve it the same way you saw the regular equation. the only difference is that if you divide or multiply by a negative number then you have to turn the sign around.

Answer:

0>-45

True for all x

Step-by-step explanation:

[tex]9(x+2) > 9(x-3)\\\\\mathrm{Expand\:}9\left(x+2\right):\quad 9x+18\\\\\mathrm{Expand\:}9\left(x-3\right):\quad 9x-27\\9x+18>9x-27\\\\\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}\\\\9x+18-18>9x-27-18\\\\Simplify\\\\9x>9x-45\\0>-45[/tex]

A bag holds 12 red marbles, 11 green
marbles, 17 blue marbles, and 5 yellow
marbles. What is the probability that
you will NOT choose a blue marble?
5
A
45
(В)
11
45
12
© 45
28
45

Answers

Answer:

62.22%

Step-by-step explanation:

First, find how many total marbles there are:

12 + 11 + 17 + 5

= 45

Then, find how many marbles that are not blue:

12 + 11 + 5

= 28

Then, divide 28 by 45, and multiply by 100

(28/45) x 100

= 62.22% is the probability of not choosing a blue marble

Y/T = 28/45 = 62%
Y=yes
T=total

For each question, draw a figure. Label the information on the figure. Write an equation that solves the
problem. Find the two answers requested. On AC, B is between A and C. For each question, find x and AB.
10. AB = 2x + 5, AC= 10x + 2. BC= 4x + 9.
11. AB = 3x, BC =x-6, AC = 8x - 14

Answers

Answer:

See attachment for the figures drawn for each question.

10. x = 3; AB = 11

11. x = 2; AB = 6

Step-by-step explanation:

10. AC = 10x + 2

AB = 2x + 5

BC = 4x + 9

AB + BC = AC (segment addition postulate)

(2x + 5) + (4x + 9) = 10x + 2 (substitution)

The equation above is what we would use to solve the problem as follows:

2x + 5 + 4x + 9 = 10x + 2

Combine like terms

6x + 14 = 10x + 2

6x - 10x = -14 + 2

-4x = -12

Divide both sides by -4

x = 3

AB = 2x + 5

Plug in the value of x

AB = 2(3) + 5 = 6 + 5

AB = 11

11. AB = 3x

BC = x - 6

AC = 8x - 14

AB + BC = AC (segment addition theorem)

3x + (x - 6) = 8x - 14 (substitution)

Use the equation to solve for x as follows:

3x + x - 6 = 8x - 14

Collect like terms

4x - 6 = 8x - 14

4x - 8x = 6 - 14

-4x = -8

x = 2 (dividing both sides by -4)

AB = 3x

AB = 3(2)

AB = 6

Solve the equation 2x+4(x-6)=3(2x-8)
Thank you

Answers

Answer:

IMS aka infintely many solutions :)

Step-by-step explanation:

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

distribute

2x+4x-24=6x-24

combine like terms

6x-24=6x-24

carry across equal sign

6x=6x

carry across equal sign

0=0 aka IMS

Answer:

No solutions I think

Step-by-step explanation:

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

2x + 4x -24 = 6x - 24

6x - 24 = 6x - 24

-6x +24  -6x +24

0 = 0

Hopefully this helped :)

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