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Natalija [7]
3 years ago
10

Three times a number is subtracted from another number and the difference is 3. The sum of the two numbers is 31. What is the sm

aller of the two numbers
Mathematics
1 answer:
Volgvan3 years ago
5 0

Answer:

7

Step-by-step explanation:

let the 2 numbers be x and y with y > x, then

y - 3x = 3 → (1)

x + y = 31 → (2)

Rearrange (1) expressing y in terms of x by adding 3x to both sides

y = 3 + 3x → (3)

Substitute y = 3 + 3x into (2)

x + 3 + 3x = 31, that is

4x + 3 = 31 ( subtract 3 from both sides )

4x = 28 ( divide both sides by 4 )

x = 7

and y = 3 + (3 × 7) = 3 + 21 = 24

The smaller of the 2 numbers is 7

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56 points for whoever answers correctly !
vladimir2022 [97]

We need to use what we know about rectangles to get:

1)

  • Total length = 2*W + 8ft
  • Total width = W + 8ft

2) area = 2*W^2 + 24ft*W + 64ft^2

<h3>Working with rectangles:</h3>

We know that rectangles are defined by two measures, width W and length L.

Here we do know that the length of the pool is twice the width, and the width is W, then the length of the pool is:

L = 2*W

And we also have a sidewalk of 4ft all around the pool, now we want to get:

1) The total length and the total width.

This will be equal to the length/width of the pool <u>plus twice the width of the sidewalk</u> (we add it twice because is in both ends) then we have:

  • Total length = L + 2*4ft = 2*W + 8ft
  • Total width = W + 2*4ft = W + 8ft

2) Now we want to get an expression for the total area of the pool.

Remember that for a rectangle the area is just the product between the width and the length, so to get the area of the pool with the sidewalk we just take:

area = (total length)*(total width)

area = (2*W + 8ft)*(W + 8ft) = 2*W^2 + 3*W*8ft + 64ft^2

area = 2*W^2 + 24ft*W + 64ft^2

This is the equation that gives the total area as a function of W, the width of the pool.

If you want to learn more about rectangles, you can read:

brainly.com/question/17297081

6 0
2 years ago
A baseball collector took inventory of all of his baseball cards along with the value of each card. The box plot represents the
love history [14]

Answer: less than 25%

Step-by-step explanation:

The box plot can be read as follows:

The first black dot is the minimum value.

The first half of the rectangle is the lower quartile.

The line that separates the two rectangles is the median.

The second half of the rectangle is the upper quartile

The final point is the maximum.

Knowing that each quartile represents about the 25% of the elements for the set, we can see that both lower and upper quartile (and the 25% of the elements that come after the upper quartile) cost more than $45.

Then we know that at least the (25% + 25% + 25%) = 75% of the cards in the collection cost more than $45.

And we also have elements that are not in the lower quartile that cost more than $45, but we can not determine the percentage that they represent.

So we can only conclude that more than the 75% of the collection costs more than $45.

Now we want to know the percentage of the baseball cards valued at less than $45.

So if more than 75% is valued at more than $45.

Then less than 25% is valued at less than $25.

8 0
3 years ago
If h(x) = x – 7 and g(x) = x2, which expression is equivalent to (G ▪ H) (5)? (5 – 7)2 (5)2 – 7 (5)2(5 – 7) (5 – 7)x2
Eddi Din [679]

Answer:

The correct answer is (5 - 7)^2

Step-by-step explanation:

To find this, start with the outermost equation g(x).

g(x) = x^2

Now put the next equation (h(x)) in for x in this equation.

(G ▪ H)(x) = (x - 7)^2

Now, put the number in for x in the equation given.

(G ▪ H)(x) = (5 - 7)^2

4 0
3 years ago
Read 2 more answers
Simplify the following expressions using Order of Operations.<br><br> 4+ 8 = 2 + 6 x 2
Hunter-Best [27]

Answer:

12 ≠ 14

Step-by-step explanation:

(4+8)=2+(6x2)

12 = 2 + 12

12 ≠ 14.

So the equation is false.

4 0
3 years ago
PLEASEEE I NEED HELPPP!!!!
taurus [48]

Answer:

#carry on learning

mark me as brainliest

Find a point-slope form for the line that satisfies the stated conditions. Slope , passing through (-5,4)

I really need this question answered

By:

I don't see a value for the slope. We need that to set the equation, otherwise I can write an unlimited number of equations that pass through (-5,4).

I'll assume a slope so that you can see how the procedure would work. I like 6, so we'll assume a slope of 6.

The equation for a straight line has the form y = mx + b, where m is the slope and y is the y-intercept, the value of y when x = 0. We want a line that has slope 6, so:

y = 6x + b

We need to find b, so substitute the point (-5,4) that we know is on the line:

4 = 6*(-5) + b and solve for b

4 = -30 + b

b = 34

The line is y = 6x + 34

4 0
2 years ago
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