. Maria spent 1\9of the money her grandparents gave her on an adventure book. She also spent 1/3 of the money on a bag of candy. What fraction of the payment has Maria spent?

Answers

Answer 1
Answer:

Answer:

(4)/(9)

Step-by-step explanation:

The fraction of the money that Maria spent on an adventure book = (1)/(9)

The fraction of the money that Maria spent on a bag of candy = (1)/(3)

Now we have to find the total fraction of the money that Maria spent.

For that we have to add those 2 fractions together.

Let us solve now.

( 1)/(9) +(1)/(3)

( 1)/(9) +(1*3)/(3*3)

(1)/(9) +(3)/(9)

(4)/(9)

There fore, the fraction of the payment has Maria spent is (4)/(9)

Hope this helps you :-)

Answer 2
Answer: If you add 1/9 and 1/3, it becomes 1/9+3/9, which equals 4/9. thus, 4/9 of the money has been spent. hope it helps!!

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The high school is hosting an event for seniors but will also allow some juniors to attend. The principal approved the event for 200 students and decided the number of juniors should be 25% of the number of seniors. How many juniors will be allowed to attend?

Answers

Using percentage, the numbers of juniors will allowed to attend an event is 50.

What is percentage?

Percentage is "fraction or ratio, in which value of whole is 100".

According to the question,

The principal approved the event for 200 students. Number of juniors will be 25% of number of seniors.

Suppose 100% of student is 200 and then 25% of student will be

100% = 200

25%   = x

100x = (200) (25)    [cross multiplication]

     x = 50.  

Hence, the principal allowed number of student to attend an event is 50.

Learn more about Percentage here

brainly.com/question/13024759

#SPJ2

Answer:

First you do number of students being approved by the principal times the number of juniors allowed over 100.

This simply means that 200*25/100=50

–3x + 1 + 10x = x + 4

Answers

-3x+1+10x=x+4
combine like variables 
7x+1=x+4
put variables in one side by subtracting x and subtracting 1
6x=3
divide 6 by 3
x=1/2 
hope it helps

The sum of two numbers is 100 and their difference is 80, what are the two numbers

Answers

Answer:
x=90
y=10

Explanation:
Let x be equal to the first number.
Let y be equal to the second number.

We know that the sum of the two numbers is 100, so we can say that x+y=100.

We also know that the difference of the two numbers is 80, so we can also say that x-y=80

And now we have our two equations:

x+y=100
x-y=80

To find x and y, we first solve for one of the variables and plug it into one of the two equations to solve for the other. In this case, the easiest way to approach this question is to add both of the equations to cancel y out and solve for x (please check the picture attached for a better representation).

x+y=100
x-y=80
-> 2x=180

2x=180
Divide both sides by 2
2x/2=180/2
x=90

Now that we have found the value of the first number, x, we can plug it in to either of our two original equations to solve for y.

x+y=100
90+y=100
Subtract both sides by 90
90+y-90=100-90
y=10

Therefore, the value of x is 90 and the value of y is 10. Their sum is 100 and their difference is 80.

I hope this helps!

Answer:

The numbers are 90 and 10.

Step-by-step explanation:

Let the two numbers are x and y.

It has been given that  sum of two numbers is 100. Hence, we have the equation,

x + y = 100 .........(i)

Now, the difference of these two numbers is 80. Thus, second equation is

x - y = 180......(ii)

Add equation (i) and (ii)

x + y + x - y = 100 + 80

2x = 180

Divide both sides by 2

x = 90

Substitute this value in (i)

90 + y = 100

y = 100- 90

y = 10

Therefore, the numbers are 90 and 10.

#Learn More:

The sum of two numbers is 450 and the smaller number is 120. What is the product?

Step-by-step explanation:

  1. 90 and 10

Suppose f(x) = ab^x is an exponential GROWTH function. Which function, then, represents exponential DECAY?

Answers

Answer:

a \neq 0, b > 1 and r < 0, where x' = r\cdot x.

Step-by-step explanation:

An exponential growth function that represents exponential decay has a \neq 0, b > 1 and r < 0, where x' = r\cdot x.

f(x) = ab^x
It is the same function. In the case of growth, b represents a number greater than zero, but in decay, it represents a number between 0 and 1.

If a 143-mile trip took 5 1/2 gallons of gas, how many miles can be driven with a full tank of 14 gallons?

Answers

Set up the proportion:    143/5.5 = x/14

Cross-multiply the proportion:  (143) (14) = 5.5 x

Divide each side by 5.5 :    x = (143) (14) / 5.5 = 364 miles

4m + 9 + 5m - 12 = 42

Answers

First, combine like terms.

4m+5m = 9m

9m + 9 - 12 = 42

9-12= -3

9m - 3 = 42

Second, apply the inverse operation to isolate the variable.

9m - 3 = 42
      +3     +3

9m = 45

Third, divide 9 by both sides to solve for m.

(9m)/(9) =  (45)/(9)

m = 45/9

m = 5

Answer:  m = 5
4m+9+5m-12=42 is 5. m= 5.