Raju and Ann saved a total of $1560. After Raju gave Ann $50, Raju had 5 times as much money as Ann. How much did Raju have at first?

Answers

Answer 1

Step-by-step explanation:

let amt of money Raju has be r and Ann be a.

a + r = 1560

a = 1560 - r --(1)

r - 50 = 5(a + 50)

r = 5a + 300 --(2)

sub (1) into (2):

r = 5(1560 - r) + 300

r = 8100 - 5r

6r = 8100

r = 1350

therefore he has $1350 at first.

Topic: simultaneous eqn + algebraic equations

If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!

Answer 2

An expression is a sentence with a minimum of two numbers or variables and at least one math operation such as addition, subtraction, multiplication, or division.

The amount of money Ann has at first is $1350.

What is an expression?

An expression is a sentence with a minimum of two numbers or variables and at least one math operation such as addition, subtraction, multiplication, or division.

We have,

Let the amount of money Raju = R

Let the amount of money Ann = A

Now,

Raju and Ann saved a total of $1560.

This statement can be written as:

R + A = 1560 ____(1)

After Raju gave Ann $50, Raju had 5 times as much money as Ann.

This statement can be written as:

R - 50 = 5 ( A + 50 )

R - 50 = 5A + 250

R - 5A = 250 + 50

R - 5A = 300 _____(2)

From (1)

R = 1560 - A _____(3)

Putting (3) in (2),

1560 - A - 5A = 300

1560 - 6A = 300

1560 - 300 = 6A

1360 = 6A

A = 1260 / 6
A = 210

Putting A = 210 in (3) we get,

R = 1560 - A

R = 1560 - 210

R = 1350

Thus the amount of money Ann has at first is $1350.

Learn more about expressions here:

https://brainly.com/question/28637270

#SPJ2


Related Questions

136/50
as a percentage?

Answers

Answer: 272%

Step-by-step explanation: To write 136/50 as a percent have to remember that 1 equal 100% and that what you need to do is just to multiply the number by 100 and add at the end symbol % .

136/50 * 100 = 2.72 * 100 = 272%

And finally we have:

136/50 as a percent equals 272%

272%

136/50=272/100

I have a goal of 20 brainliest please help if you can :D

Write
7
as a decimal.
25
0

Answers

Answer:

0.07

Step-by-step explanation:

Alicia received the following seven scores on her math assignments.

80, 90, 10, 75, 90, 95, 99

Find the mean and median. Which measure of center best represents the data?

Answers

Answers:

Mean = 77Median = 90The median is the better measure of center

=============================================

Explanation:

Part (1) Finding the mean

Add up the values to get

80 + 90 + 10 + 75 + 90 + 95 + 99 = 539

Then divide by 7 because there are 7 values in this list

539/7 = 77

The mean is 77

--------------------------

Part (2) Finding the median

First we'll need to sort the values from smallest to largest

{80, 90, 10, 75, 90, 95, 99}

will sort to

{10, 75, 80, 90, 90, 95, 99}

The middle most value is 90 since we have three items below it {10,75,80} and three items above it {90, 95, 99}.

The median is 90

--------------------------

Part (3) Which is the better measure of center?

Nearly all of the values are clustered from 75 to 99. The value 10 is an outlier since it's far from the main cluster. There are more technical processes used to find out if 10 is actually an outlier or not, but we won't deal with that right now.

The much smaller outlier pulls on the mean to make it smaller than what it should be. The mean 77 is too small to represent what the center should be. The median is not affected by outliers, which is why it's used in applications such as home prices.

The median 90 is the better measure of center.

Answer:

I tried c and i got it wrong

Step-by-step explanation:

its not c

Solve -2(2x + 5) - 3 = -3(x - 1) (1 point)

Answers

Answer:

x=-16

Step-by-step explanation:

hope this helps!

Somebody please help meee​

Answers

3√2/(√3 - √2) . (√3 - √2)/(√3 - √2)

3√2(√3 - √2)/(3 - 2)

3√2(√3 - √2)

3√6 - 6

3(√6 - 2)

Answer: 3(√6 - 2)

An investment earn 6% simple interest. What amount of principal is need to have $3000 after 5 years

Answers

Answer:

The amount of $1000 principal is needed to have $3000 after 5 years.

Step-by-step explanation:

As the interest formula is

[tex]I=Prt[/tex]

Where

P is the principler is the rate in decimalt is the time in years

Substituting the following values in the interest formula and solve for P

I=$3000

r = 6% = 6/100 = [tex]0.06[/tex]

t = 5

so the equation becomes

[tex]I=Prt[/tex]

[tex]3000=P\left(0.06\right)\left(5\right)[/tex]

switch both sides

[tex]P\left(0.06\right)\left(5\right)=3000[/tex]

[tex]P\left(0.3\right)=3000[/tex]

[tex]P=10000[/tex] $

Therefore, the amount of $1000 principal is needed to have $3000 after 5 years.

Anna got 45 answers correctly out of an unknown number of questions
which was 90% correct. How many questions were there?*
5 or
55 or
60

Answers

Answer:

The answer for this problem would be 50.

Step-by-step explanation:

If you calculate 90% of 50, you should get 45 so, the answer is 50.

how do you get a 15 year old girl to like you when you're 13 and how to tell 8f they'll like you​

Answers

Answer:

you dont

Step-by-step explanation:

Answer:

sing to her and say- "but age aint nothing but a number" and you'll start dating real quick

Which expression shows the amount of tax on a T-shirt that costs x dollars, if tax is 7%?

A
0.07x

B
0.07

C
7x

D
7

Answers

Answer: A or B

Step-by-step explanation:

the marijority of the population in the United states _________.
A. French
B.spanish
C.English
D.native languages​

Answers

it should be C english :)

A runner runs 400m west then changes direction and runs 600m south, If the entire trip takes 35s, what is the average speed? Give your answer in to two decimal places.​

Answers

Explanation:

Average Speed = Total Distance / Total Time

Total Distance = 400m + 600m = 1,000m

Total Time = 35s

Average Speed = 1,000/35 = 28.57 m/s (approx.)

Answer:

Average Speed in two decimal places is 28.57 m/s (approx.)

please help me guys find the slope

Answers

Answer:

[tex]m=4[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Pick any 2 points from the chart.

Point (-5, -7)

Point (-4, -4)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-4+7}{-4+5}[/tex]Add:                              [tex]m=\frac{4}{1}[/tex]Divide:                          [tex]m=4[/tex]

Would someone mind helping me? I really need this answer but I'm so confused. I would appreciate any help :) and if you get the answer right, ill give you brainliest.

Answers

Answer:

The answer is A.

Step-by-step explanation:

The equation y=mx+b is shown where m is slope and m=-2 and b is the y-intercept, which b=1 (0,1) is the y intercept.

What is the equation of the line that passes through the point (-6,-5) and has a slope of 2/3 ​

Answers

Answer:

the answer is y=2/3x-5

write the equation in point slope form for a line that passes through the points (-2,3) and (6,-1)

Answers

Answer:

y - 3 = -1/2(x + 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Point-Slope Form: y - y₁ = m(x - x₁)  

x₁ - x coordinate y₁ - y coordinate m - slope

Step-by-step explanation:

Step 1: Define

Point (-2, 3)

Point (6, -1)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-1-3}{6+2}[/tex]Subtract/Add:               [tex]m=\frac{-4}{8}[/tex]Simplify:                        [tex]m=\frac{-1}{2}[/tex]

Step 3: Write linear equation

Point-Slope Form:   y - 3 = -1/2(x + 2)

Answer:

y = -(1/2)x+2

Step-by-step explanation:

Pls answer fast i will mark u brainliest

Answers

Answer:

-16 3/28

Step-by-step explanation:

sowwy if wrong owo

1. multiply

-2 3/4 * 5 6/7 = -11/4 * 41/7 = -451/28

2. simplify

-451/28 = -16 3/28

estimate 2,072-581 by first rounding each number to the nearest hundred

Answers

Answer:

1490 is the correct answer

Step-by-step explanation:

2070- 580= 1490

is it better to buy 3 gifts and get one free or use a coupon for 20% off of three. which is cheaper i’m too lazy to do it :~|

Answers

Answer:

Coupon

Step-by-step explanation:

C O U P O N

Answer:

coupon

Step-by-step explanation:



Jorge is at the dollar store buying ballqons for a birthday party. For every 5 balloons he
buys, he pays $6. What is the price per balloon?




Answers

Answer:

Step-by-step explanation:

Umm idk-

PLEASE HELP! WILL MARK BRAINLIEST IF RIGHT! 3 QUESTIONS!

1. Tia cut a 4-meter 8-centimeter wire into 10 equal pieces. Marta cut a 540-centimeter wire into 9 equal pieces. How much longer is one of Marta’s wires than one of Tia’s?

2. Jay needs 19 quarts more paint for the outside of his barn than for the inside. If he uses 107 quarts in all, how many gallons of paint will be used to paint the inside of the barn?


3. String A is 35 centimeters long. String B is 5 times as long as String A. Both are necessary to create a decorative bottle. Find the total length of string needed for 17 identical decorative bottles. Express your answer in meters.

Answers

Answer:

Tia cut a 4-meter 8-centimeter wire into 10 equal pieces. for Jay 10 quarts would be the answer. Step-by-step explanation: He needs x quarts for the inside painting and x + 19 quarts for the outside. These two measures add up to 2x + 19, which equals 107 (quarts) total. The last one is tring A is 35 cm long, string B is 5 times as long as string A, then string B is 35·5=175 cm long. In total both strings have length 35+175=210 cm. The total length of string needed for 17 identical decirative bottes is  cm that is 35.7 m.

A theatre shows four movies, with a break after each one. Movie 1 starts at 11:00 am. When does Movie 3 start? *

Answers

Answer:

Movie 3 starts at 4:15 pm

Step-by-step explanation:

11:00 am + 2 hours 30 minutes + 2 hours 30 minutes + 15 minutes

11: 00 am + 5 hours + 15 minutes = 4:00 pm + 15 minutes

Movie 3 starts at 4:15 pm

Irina has 3 hours to finish her final math exam. Keeping in mind that there are 60 minutes in 1 hour, how much time, on average, does she have for each question if there are 45 questions on the exam? 1.5 minutes 2.ModifyingAbove 6 with bar minutes 4 minutes 15 minutes

Answers

Answer:

4 minutes per question

Step-by-step explanation:

3 hours = 180 mins

180/45 = 4

4 minutes per question

Answer:

an average of 4 minutes on each

Step-by-step explanation:

madison and jacob are training for a 5k. Below shows a week of their running log complete the tables

Answers

Answer:

asxas

Step-by-step explanation:

Haleigh split 4/9 of a gallon of juice into 8 cups. How much juice was in each cup?

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

1/18 of a gallon of juice in each cup.

▹ Step-by-Step Explanation

Since we have 4/9 of a gallon of juice for 8 cups, we will divide to find the amount of juice in each cup.

[tex]\frac{4}{9} / 8[/tex]

Since this operation is division, we have to change 8 to it's reciprocal which is 1/8:

[tex]\frac{4}{9}/ \frac{1}{8} = \frac{4}{72} = \frac{1}{18}[/tex]

Our final answer will be 1/18 of a gallon of juice in each cup.

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Slope pls help ASAP due tonight

Answers

Answer:

y=x+ -5

i think

The slope would be 1, which is basically just x but yeah, the other blank would be -5 since it's the y-intercept (where the line touches the y-xis) I hope this helps!!!

Is the number 2 composite or prime

Answers

Answer:

prime Number

Step-by-step explanation:

because 2 can be only divided by itself and one

Answer:

the number 2 is the only even prime number

9.2*10^-3 in standard form

Answers

Answer:

9.200 × [tex]10^{-3}[/tex]  

I hope this helps!

Water Street intersects 25th Street and 28th Street at right angles. Highway 47 is parallel to 28th Street. How are 25th Street and Highway 47 related?

Answers

Answer:

25th Street is parallel with Highway 47

Step-by-step explanation:

Water Street intersects 25th Street and 28th Street at right angles.

Outcome ⇒ 25th Street and 28th Street are parallel

Highway 47 is parallel to 28th Street.

Outcome ⇒ 25th Street is parallel with Highway 47

GiveN:

Water Street intersects 25th Street and 28th Street at right angle.Highway 47 is parallel to 28th Street

What to do?

How are 25th Street and Highway 47 related[tex]?[/tex]

Step-wise-Step Explanation:

If wall Street intersects 25th Street and 28th Street at right angle then they will Parallel (||) to each other. Because,

If two lines are perpendicular to the third line then those two lines are parallel to each other as they will never meet.

Now Highway 47 is parallel to 28th Street. It means 25th Street is also parallel to Highway 47 because,

If two lines are parallel to the third line then those two lines are parallel to each other as they will never meet.

Thus, They are Highway 47 and 25th Street are parallel to each other. (Answer)

what conjecture can you make about the sum of firs 52 positive even numbers​

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete. However, the available details is enough to work out a solution.

Considering the first even number: 2

In this case, n = 1

The sum of the first even term is 2.

Represent the sum as a product:

[tex]2 = 1 * 2[/tex]

Considering the first two even numbers: 2 and 4

In this case, n = 2

The sum of the first two even terms is 6

Represent the sum as a product:

[tex]6 = 2 * 3[/tex]

Considering the first three even numbers: 2, 4 and 6

In this case, n = 3

The sum of the first two even terms is 12

Represent the sum as a product:

[tex]12 = 3 * 4[/tex]

Notice the pattern from n = 1 to 3

[tex]2 = 1 * 2[/tex] --- n = 1

[tex]6 = 2 * 3[/tex] --- n = 2

[tex]12 = 3 * 4[/tex] --- n = 3

------------------------------------

It follows that, the sum when represented as a product is: [tex]n * (n + 1)[/tex]

So, the sum of the first 52 even terms would be:

[tex]52 * (52 + 1)[/tex]

Where n = 52

[tex]52 * (52 + 1) = 52 * 53[/tex]

[tex]52 * (52 + 1) = 2756[/tex]

Hence, the sum of the first 52 even terms is 52 * 53 or 2756

Help me I need to be done pls

Answers

Answer:

im not 100% sure but i think 1.5

Step-by-step explanation:

sry if not

Answer:

-3

___

 2

Step-by-step explanation:

9-(4-1)^2

______

8-2^2

9-(16-1)

______

8-4

9-15

_____

4

-6

___

4

=-3

------

2

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