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Naya [18.7K]
3 years ago
6

Compare the following sentences:

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
4 0

Answer: Let us assume that our income is $X.

In the first case:

1) We received a raise and our income increased to 135% of its previous amount.

"increased to" denotes that we will multiply our original income by the percentage given.

Therefore our income would be = $X * 1.35 = $1.35

X

In the second case:

2) We received a raise and our income increased by 135%.

"increased by" denotes that we have to add the given percentage of our income to our original income.

<em><u>Therefore our income would be $X + $X*1.35= $2.35X</u></em>

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X+413=−256 <br> What is the value of X?
Phantasy [73]

Answer:

-669

Step-by-step explanation:

Convert -256 to 256

Addition -> 413+256=

669

Convert 669 to -669

X=-669

Double Check:

-669+413=-256

8 0
2 years ago
2 is what percent of 12?​
REY [17]

Answer:

16.67

Step-by-step explanation:

sana po makatulong

5 0
2 years ago
the larger of two number is nine more than four times the smaller number. the sum of the two numbers is fifty-nine. find the two
VLD [36.1K]
This is solved by setting up two equations and then using one to answer the other.
The first step (use what is given to set up the two separate equations)
We are looking for two numbers, let us call them X and Y. 
We are told that X + Y = 59
 We are also told that (9 more than) 9+ (4times the smaller number) 4Y is the bigger number X
Then we combine that into 9+4Y=X
so we now have two separate equations and we can use one to solve the other. Everywhere we have X in the first equation, we will fill in with the second equation
(9+4Y) +Y = 59    [then combine like terms]
9+5Y=59            [subtract 9 from both sides]
5Y=50                   [divide both sides by 5 to isolate the Y]
Y=10                      [now plug this into either equation to solve for X]
9+4(10)=X
9+40=X
<u><em>49=X and 10=Y</em></u>
4 0
2 years ago
Sally either walks, cycles or drives to work. She walks about 15% of the time and drives about 3/5 of the time. What percentage
goblinko [34]

Answer: She cycles 25% of the time

Step-by-step explanation:

From the question, Sally walks 15% of the time.

She drives 3/5 of the time.

We then convert 3/5 to percentage.

Converting to percentage means multiplying by a factor of 100.

Hence, Sally drives 3/5*100 = 60% of the time.

If Sally walks 15% of the time and drives 60% of the time, adding up the percentage time used by these two media of transportation will give us

60% + 15% = 75%

Hence if she cycles for the remainder of the time, expressing it as percentage would mean subtracting the time used in other means by 100%

Hence it will be 100% - 75% = 25%

8 0
3 years ago
If CE= 7x+4 <br><br> x+3 + 8x-9 = 7x+4
MA_775_DIABLO [31]
The answer is 39.

Explanation:
To find the x, you need to start by adding your “like” terms on each side of the equal sign. This means the parts that you can add together. So, on the left side, you would add 3 and -9 together, which will make -6. Then, you would add x and 8x together, which would make 9x. So your left side will look like “9x-6”. There is nothing you can add together on the right side, so now you move on to the second step: combining the terms on both sides. You can do this by knowing that the opposite of subtraction is addition, and it’s the same the other way. Let’s look at our equation now:
9x-6=7x+4

9x and 7x are “like terms” so we can subtract. So now we have:
2x-6=4

We still need to make x be by itself, so now we can move the -6 over to the 4. We add because the opposite of subtraction is addition. So now we have:
2x=10

When a number is next to a missing number, that means they are being multiplied, and the opposite of multiplication is division. So we can divide 10 by 2, which equals five. So, x=5 and we can add that to our other missing number, CE. Replace “x” with “5” and you will see that CE=39.
4 0
3 years ago
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