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posledela
3 years ago
14

THE SUM OF TWO NUMBERS IS 54. IF THE SMALLER NUMBER IS 6 LESS THAN THE BIGGER ONE, FIND THE NUMBERS. (STEP BY STEP PLZ)​

Mathematics
1 answer:
fgiga [73]3 years ago
8 0

Answer:

24 and 30

Step-by-step explanation:

The sum of two numbers is 54. Let's use the variables x and y to represent theses numbers:

x + y = 54

The smaller number is 6 less than the bigger one. Let's say that x is the smaller number and y is the bigger number:

y - 6 = x

Now we know that x is equivalent to y - 6. So, let's replace x with y - 6 in the original equation:

x + y = 54

y - 6 + y = 54

Combine like terms:

2y - 6 = 54

Now we can solve for y:

2y - 6 = 54

Add 6 to both sides of the equation to isolate the 2y:

2y = 60

Divide both sides by 2 to find the value of y:

y = 30

Now that we know the value of y, we can solve for x:

y - 6 = x

30 - 6 = x

24 = x

The value of the two numbers is 24 and 30.

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In an ore, 9.8% of its total weight is metal. How many pounds of metal are in 1,950 lb of ore?
Fudgin [204]

Answer

Find out the  how many pounds of metal are in 1,950 lb of ore .

To proof

let us assume that the pounds of metal are in 1,950 lb of ore be x .

As given

In an ore, 9.8% of its total weight is metal.

ore weight = 1,950 lb

9.8% is written in the decimal form

= \frac{9.8}{100}

= 0.098

Than the equation becomes

x = 0.098 × 1950

x = 191.1 pounds

Therefore the 191.1 pounds of metal are in 1,950 lb of ore .

Hence proved



5 0
3 years ago
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To solve this problem you must use the information given in the problem above:

1. You have that he jogs 0.7miles to the park and then 0.5miles to the playground, then he jogs 0.3 miles to the bridge and 0.9miles to his house.

2. Therefore, as you can see, Jerry completes his jog when he arrives to his house. So, he is 0miles from his house.

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4 0
3 years ago
Read 2 more answers
6(y+1.5)=18<br> what does y equals?
leva [86]

Answer:

Step-by-step explanation:

6y+9=18

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Kendra types 72 words per minute. At this rate, how long will it take Kendra to complete a letter of 900 words?
riadik2000 [5.3K]

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3 years ago
Line A is represented by the following equation: x + y = 2
Orlov [11]

Answer:

ax+ay=k; a\ne0, k\ne2a; line D in the options.

Step-by-step explanation:

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The condition a\ne 0 makes sure you are still getting lines (else you would get rid of both x and y); the condition k\ne 2a makes sure you're not picking line A again, just written in a different form.

Now that we have the options:

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Choice B is just a more complicated way to write the same line, you can see by dividing both sides by 2 and get back x+y=2.

Line D is correct.

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