1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
cupoosta [38]
3 years ago
11

devi and her brother had the same amount of money. after devi spent 2/5 of her money and her brother spent 3/10 of his money, th

ey had $78 left altogether. how much did they spend altogether?
Mathematics
1 answer:
krok68 [10]3 years ago
6 0
To answer this question you have to create a system of equations. The first equation will be that Devi's money (x) equals her brother's money (y), or x = y. The next equation would be that (3/5)x + (7/10)y = 78. You than can substitute x in for y because x = y. The equation would know be (3/5)x + (7/10)x = 78. You then combine the like terms to create an equation of (13/10)x = 78. Then, multiply both sides by 10 / 13 in order to isolate x. This will create the equation x = 60. This means that Devi and her brother each had 60 dollars. You then find out how much they spent and add it together. You can do so with the equation (2/5)x + (3/10)y = z, with z being total money spent. You substitute 60 in for x and for y then solve. When you solve you see that 24 + 18 = z, or that z equals 42. In other words, they spent 42 dollars altogether.
You might be interested in
The polynomial x^2+3x-1 is a factor of x^4+3x^3-2x^2-3x+1 true or false?
pashok25 [27]

Answer:

Yes, it is true that x^2+3x-1  is a factor of x^4+3x^3-2x^2-3x+1.

Step-by-step explanation:

Let us try to factorize x^4+3x^3-2x^2-3x+1

x^4+3x^3-2x^2-3x+1\\\Rightarrow x^4-2x^2+1-3x+3x^3

Let us try to make a whole square of the given terms:

\Rightarrow (x^2)^2-2\times x^2 \times 1+1^2+3x^3-3x\\\Rightarrow (x^2-1)^2+3x^3-3x\\

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

Formula used above:

a^{2} -2 \times a \times b +b^{2}  = (a-b)^2

In the above equation, we had a = x, b = 1.

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

Further solving the above equation, taking 3x common out of 3x^3-3x

\Rightarrow (x^2-1)^2+3x(x^2-1)\\

Taking (x^{2} -1) common out of the above term:

\Rightarrow (x^2-1)((x^2-1)+3x)\\\Rightarrow (x^2-1)(x^2+3x-1)

So, the two factors are (x^2-1)\ and\ (x^2+3x-1).

\therefore The statement that x^2+3x-1  is a factor of x^4+3x^3-2x^2-3x+1 is <em>True.</em>

7 0
3 years ago
HELP NOW (+ brainlist)
schepotkina [342]

Answer:

2/6

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
7.5.5. I usually walk from home to work. This morning, I walked for 10 minutes until I was halfway to work. I then realized that
olya-2409 [2.1K]

Answer:

Given:

I usually walk from home to work. This morning, I walked for 10 minutes until I was halfway to work.

I then realized that I would be late if I kept walking.

I ran the rest of the way. I run twice as fast as I walk.

Find:

The number of minutes in total did it take me to get from home to work

Step-by-step explanation:

Had I kept walking, the second half of my trip would have taken 10 more minutes.

By doubling my speed for the second half of my trip,

I halved the amount of time it took me to finish.

So, the second half of my trip took 5 minutes, for a total trip time of  10+5 = 15 minutes.

The number of minutes in total did it take me to get from home to work is 15 minutes.

3 0
2 years ago
Read 2 more answers
Complete the statement 6 pt = ______ qt <br> A 1.5 <br> B 2 <br> C 3 <br> D 12<br> Tysm!
slamgirl [31]
There are 2 pints in 1 quart

You have, for example, 6 pt of liquid

Since there are 2 pints in 1 quart, divide 6 and 2 together to get the qt amount you have

6/2 = 3

You have 3 qts

C is your answer

hope this helps
4 0
3 years ago
Read 2 more answers
the total is 30 coins and 3 dollars. there are twice as many nickles as dimes. how many nickles and dimes and there
beks73 [17]

Answer:

20 nickels and 10 dimes.

8 0
3 years ago
Read 2 more answers
Other questions:
  • Please help ! I’ll give brainliest
    10·1 answer
  • Simplify 24 − (23 + 22).<br> HELP FAST
    15·2 answers
  • determine any data values that are missing from the table assuming that the data represent a linear function
    5·1 answer
  • 3. Extend <br> Enter the next two terms of the sequence.<br> 3,<br> -9,<br> -6,<br> -15,<br> -21,
    15·1 answer
  • Help anyone giving 5 stars
    5·2 answers
  • PLEASE HELP QUICK 10 POINTS AND I GIVE BRAINLEIST!!! what is the <br> GCF of 110 and 132
    5·1 answer
  • Use the distributive property to evaluate the following expression: 9 × (4 + 9)
    8·2 answers
  • Which are prisms in which are pyramids ​
    14·1 answer
  • G^2 + 4gh ; if g = -3 and h= 5
    11·1 answer
  • Question :
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!