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3 years ago

The sum of two numbers is 278. One number is 52 more than the other number. What are the two numbers

Mathematics

1 answer:

STALIN [3.7K]3 years ago

7 0

Answer:

The numbers are 165 and 113

Step-by-step explanation:

Let

x ----> one number

y ----> the other number

we know that

$x+y=278$ ----> equation A

$x=y+52$ ----> equation B

substitute equation B in equation A

$(y+52)+y=278$

solve for y

$2y=278-52$

$2y=226$

$y=113$

Find the value of x

$x=y+52$

$x=113+52=165$

therefore

The numbers are 165 and 113

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Find the nth term of this sequence : 7 , 12 , 17 , 22 , 27 ???

spayn [35]

32 is the answer and it is adding 5 everytime

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Henry's uncle from Japan promised to give him 35 g of gold. The local jewelry exchange will buy gold for $1224 per ounce. How mu

galina1969 [7]

Answer:

$1530

Step-by-step explanation:

First of all, it is required to convert 35g of gold into ounce.

Since,

1 oz = 28 g

or, we can write,

$1 g = \frac{1}{28} oz$

Now, for 35 g of gold, we can write,

$35 * 1 g = 35 * \frac{1}{28} oz\\35 g = 1.25 oz$

Since, local jewelry will buy at $ 1224 per oz, and we have 1.25 oz of gold, so,

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3 years ago

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-6(2+n) is greater than 72

Hitman42 [59]

Answer:

n > -14

Step-by-step explanation:

Firstly, you use the distributive property;

-12 - 6n > 72

Then, since 12 is negative, you add 12 to both sides;

-12 - 6n > 72

+12 +12

-6n > 84

Then you divide both sides by -6 to get n > -14.

Shoot, hold on; this is an edit; did you mean that 72 is greater than -6(2 + n) or did you accidentally flip the sign in the picture? Hopefully I did what you needed.

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5(x+4)= -2(-4-x)+3 what is the answer?

lianna [129]

Answer:

x = -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

Step 1: Define equation

5(x + 4) = -2(-4 - x) + 3

Step 2: Solve for x

Distribute: 5x + 20 = 8 + 2x + 3
Combine like terms: 5x + 20 = 2x + 11
Subtract 2x on both sides: 3x + 20 = 11
Subtract 20 on both sides: 3x = -9
Divide 3 on both sides: x = -3

Step 3: Check

Plug in x to verify it's a solution.

Substitute: 5(-3 + 4) = -2(-4 - -3) + 3
Simplify: 5(-3 + 4) = -2(-4 + 3) + 3
Add: 5(1) = -2(-1) + 3
Multiply: 5 = 2 + 3
Add: 5 = 5

Here we see that 5 does indeed equal 5. ∴ x = -3 is a solution of the equation.

And we have our final answer!

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There are 75 people in a room. Of these people, 2/5 are from Germany. If 4/9 of the people who are not from Germany are from Fra

Alex Ar [27]

Answer:

25 people are not from Germany or France.

Step-by-step explanation:

1. You first want find out what is the number of people from Germany.

So you would find...

2/5 of 75

2/5*75= 30 people from Germany

2. Next you want to to find out the number of people from France.

So you would do the following...

75-30=45 (Subtract the number of people from Germany from 75 so you can get the total number of people from France and other countries)

4/9 of 45 to find the number of people from France.

4/9 *45= 20

3. Lastly you need to find the people who are from neither of the countries listed above.

Add 30+20= 50

Then subtract that number from 75.

75-50= 25 people who are from neither France or Germany.

Voila! This is your answer. Hope this helps! :)

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