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Zarrin [17]
3 years ago
7

One number is 5 less than another. Their sum is 19. Find the numbers.

Mathematics
2 answers:
luda_lava [24]3 years ago
8 0

Answer: 5 and 7

Step-by-step explanation: The first sentence "one number is 5 less than another" tells us how we are going to set up our variables.

If we represent one of our two numbers as (X) the other number will then be (X - 5). Let's call (X) the larger number and (X - 5) the smaller number.

Now we can use our second sentence "Their sum is 19" to set up our equation.

X + (X - 5) = 19

2x - 5 = 19

    +5    +5

2x = 24

÷2   ÷2

 X = 12

Now if (X) the larger number is equal to 12 then (X - 5) the smaller number is (12 - 5) or 7.

Therefore, our two numbers are 5 and 7.

<u />

Softa [21]3 years ago
6 0

Answer: its 14...

Step-by-step explanation:

19-5=14

5+14=19

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half means 2

90 divided by 2

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etermine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 3 2 x
nata0808 [166]

Answer:

(32/15, -2/5)

Step-by-step explanation:

(1) ³/₂x   -    2y =  4

(2)   x  +    ⅓y =  2

(3)  3x   -     4y =  8              Multiplied (1) by 2

(4)  3x  +       y =  6              Multiplied (2) by 3

                  5y = -2              Subtracted (3) from (4)

(5)                 y = -⅖             Divided each side by 5

       x + ⅓(-⅖) =  2              Substituted (5) into (2)

       x  -  ²/₁₅    =  2

       x              =  2 + ²/₁₅     Added ²/₁₅ to each side

      x              = 32/15

The system of equations has only one solution: (32/15, -2/5).

3 0
3 years ago
A boundary stripe 6 in. wide is painted around a rectangle whose dimensions are 120 ft by 230 ft. Use differentials to approxima
Nimfa-mama [501]

Answer:

350 square feet

Step-by-step explanation:

We are given that

Width of strip=6 in

Dimension of rectangle=20 ft\times 230 ft

We know that

Area  of rectangle ,A=xy

Differentiate

dA=\frac{\partial A}{\partial x}x+\frac{\partial A}{\partial y}y

We have \frac{\partial A}{\partial x}=y=230 ft

\frac{\partial A}{\partial y}=x=120

dx=\frac{12}{12}=1 ft

1 ft=12 in

Because 6 in added in both side of breadth

dy=\frac{12}{12}=1 ft

Because 6 in added on both sides of length of rectangle

Substitute the values

dA=230\times 1+120\times 1=350 ft^2

Hence, the number of square feet of paint in the strip=350 square feet

7 0
3 years ago
Can someone explain this a little better?
galina1969 [7]

Answer:

i believe 0.67 of a chance

Step-by-step explanation:

since there are two jobs and a chance that he won't get either that's three options. so the denominator is three (as a fraction). there are two jobs so the probability of James getting one of the two is 2/3. 2/3 as a decimal is 0.66666 and keeps going on and on forever. Rounded to the nearest hundredth, 0.666666 is 0.67.

4 0
3 years ago
Mrs. Flores asked her students to write a number, its opposite, and its absolute value, in that order. Four of her students turn
oee [108]

Answer:

Sarah is correct

Step-by-step explanation:

Required

Which of the students is correct

Let a number be x,

Given what the teacher asked the students to do, the solution is:

Number = x

Opposite = -x

Absolute = |x|

Only Sarah got this correctly; others are incorrect.

The proof is as follows.

For Sarah

Number = 1416

Opposite = -1416

Absolute =|1416| = 1416

So, the numbers will be: 1416, -1416 and 1416

<em>Other students are incorrect</em>

4 0
3 years ago
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