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2 years ago

the sum of two numbers is 31. twice the smallernumber is 11 more than the larger number.ehat is the value of the large number?

Mathematics

2 answers:

vovangra [49]2 years ago

5 0

Answer:

The large number is 17

Step-by-step explanation:

x+y=31⟹x=31−y

2x=y+11⟹x=y+11/2

2(y+11/2)=2(31−y)

y+11=62−2y

3y=51

y=17 x=14

Hope this helps, have a nice day! :)

Fiesta28 [93]2 years ago

5 0

Larger number is 17 = y
Smaller number is 14 = x

——
X = smaller number

Y = larger number

What we know
X+ y = 31, also written as x = 31-y
2x = 11 + y

Substitute x = 31 -y into second equation

2(31-y) =11+ y
62-2y = 11+ y
51-2y = y
51= 3y
17 = y

X = 31-y
X= 14

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Graph the system of equations using technology. What is the x-coordinate of the solution? Round to the nearest hundredth.

Fiesta28 [93]

The x - coordinate of the solution is $x=5.83$

Explanation:

The two equations are $2 x-11 y=4$ and $3 x-5 y=14$

The image attached below shows the solution of the two equations.

The x - coordinate of the solution can be determined using substitution method.

Let us substitute $3 x-5 y=14$ ⇒ $y=-\frac{(14-3x)}{5}$ in the equation $2 x-11 y=4$

Thus, we have,

$2x-11(-\frac{(14-3 x)}{5})=4$

Simplifying, we get,

$2x+\frac{154}{5}-\frac{33x}{5} =4$

Adding the like terms, we have,

$-\frac{23x}{5} +\frac{154}{5} =4$

$\frac{1}{5} (-23x+154)=4$

Multiplying both sides by 5, we have,

$-23x+154=20$

$-23x=-134$

$x=5.826$

Rounding off to the nearest hundredth, we get,

$x=5.83$

Hence, the x - coordinate of the solution is $x=5.83$

4 0

4 years ago

Which of the following is the correct factored form of the given equation? x^2 - x = 6

kirill [66]

Answer:

(x - 3)(x +2) = 0

Step-by-step explanation:

multiply it or just find the zeros of the function it become 3&-2

3 0

4 years ago

What is the equation, in slope-intercept form, of the line

Serga [27]

Answer: y=3x-7

Step-by-step explanation:

(2,2) and (-1,3) lie on the given line, so its slope is $\frac{3-2}{-1-2}=-\frac{1}{3}$

Since perpendicular lines have slopes that are negative reciprocals, the slope of the given line is 3.

Substituting into point slope form,

$y+1=3(x-2)\\y+1=3x-6\\\boxed{y=3x-7}$

3 0

2 years ago

KA AGAIN ( 2 pdfs)<br> correct answers only

Reil [10]

Answer:

Step-by-step explanation:

To find the constant of proportionality between y and x, divide $\frac{y}{x}$ for all given values of the chart. If you get the same number, then that is the constant. If they are all different numbers, then one does not exist for that function.

Using the method above, you should get:

Chart A = 2/5

Chart B = 1/5 (Correct Answer!)

Chart C = N/A

Hope this helps!

4 0

2 years ago

Read 2 more answers

10. Amina is currently twice as old as her younger brother,

maks197457 [2]

Answer:

When Amina is 18. Saad would be;

k. 14

Step-by-step explanation:

Let "x" represent Anita's current age and let "y" represent Saad's current age, we have;

Anita's age = 2 × Saad's age

Therefore;

x = 2 × y...(1)

In 4 years, we will get;

x + 4 = 1.5 × (y + 4)...(2)

Substituting the value of x in equation (1) into equation (2), we get;

2·y + 4 = 1.5·y + 1.5 × 4 = 1.5·y + 6

2·y + 4 = 1.5·y + 6

2·y - 1.5·y = 6 - 4 = 2

0.5·y = 2

y = 2/0.5 = 4

Saad's current age = y = 4 years

From equation (1), we have;

x = 2 × y = 2 × 4 = 8

Amina's current age = x = 8 years

When Amina is 18, we have;

18 = 10 + 8 = 10 + x

Therefore, Amina would be 18 in 10 years time from now, from which we have;

Saad would be 10 years + y = 10 years + 4 years = 14 years in 10 years from now

Therefore, when Amina would be 18 years in 10 years from now Saad would be 14 years.

6 0

3 years ago