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3 years ago

Melvin is X years old . Jonathan is 5 years older than Melvin. their total age 10 year later is 85 years .Find the value of X

Mathematics

2 answers:

kumpel [21]3 years ago

8 0

Answer:

X= 40

Step-by-step explanation:

X ×2+5= Jonathan age.

So, 85÷2-5 = X

X= 85÷2-5

=40

emmainna [20.7K]3 years ago

7 0

Answer:

<h2>30 years</h2>

Step-by-step explanation:

Age of melvin = X

Age of Jonathon = X + 5

After 10 years,

Age of melvin = X + 10

Age of Jonathon = X + 15

Now,

According to the question,

$x +10 + x + 15 = 85$

Collect like terms

$2x +10 + 15 = 85$

Calculate the sum

$2x + 25 = 85$

Subtract 25 on both sides

$2x + 25 - 25 = 85 - 25$

Calculate

$2x = 60$

Divide both sides of equation by 2

$\frac{2x}{2} = \frac{60}{2}$

Calculate

$x = 30$

Hope this helps...

Good luck on your assignment..

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2 1/3hrs→ $18.20
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3 years ago

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Elena receives $131 per year in simple interest from three investments totaling $3000. Part is invested at 3%, part at 4% an

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Answer:

Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%.

Step-by-step explanation:

Given that Elena receives $ 131 per year in simple interest from three investments totaling $ 3000, and part is invested at 3%, part at 4% and part at 5%, and there is $ 1000 more invested at 5% than at 4%, to find the amount invested at each rate, the following calculations must be performed:

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3 years ago

1. Which point on the axis satisfies the inequality y

grigory [225]

Answer:

1) Point $(1,0)$ -----> see the attached figure N $1$

2) The value of x is $4$

3) I quadrant

4) $(1,1)$

5) $y>-5x+3$

Step-by-step explanation:

Part 1)

we know that

If the point satisfy the inequality

then

the point must be included in the shaded area

The point $(1,0)$ is included in the shaded area

Part 2)

we have

$x-2y\geq 4$

see the attached figure N $2$

we know that

The value for x on the boundary line and the x axis is equal to the x-intercept of the line $x-2y= 4$

For $y=0$

Find the value of x

$x-2(0)= 4$

$x=4$

The solution is $x=4$

Part 3)

we have

$x\geq 0$ -----> inequality A

The solution of the inequality A is in the first and fourth quadrant

$y\geq 0$ -----> inequality B

The solution of the inequality B is in the first and second quadrant

the solution of the inequality A and the inequality B is the first quadrant

Part 4) Which ordered pair is a solution of the inequality?

we have

$y\geq 4x-5$

we know that

If a ordered pair is a solution of the inequality

then

the ordered pair must be satisfy the inequality

we're going to verify all the cases

case A) point $(3,4)$

Substitute the value of x and y in the inequality

$x=3,y=4$

$4\geq 4(3)-5$

$4\geq 7$ ------> is not true

therefore

the point $(3,4)$ is not a solution of the inequality

case B) point $(2,1)$

Substitute the value of x and y in the inequality

$x=2,y=1$

$1\geq 4(2)-5$

$1\geq 3$ ------> is not true

therefore

the point $(2,1)$ is not a solution of the inequality

case C) point $(3,0)$

Substitute the value of x and y in the inequality

$x=3,y=0$

$0\geq 4(3)-5$

$0\geq 7$ ------> is not true

therefore

the point $(3,0)$ is not a solution of the inequality

case D) point $(1,1)$

Substitute the value of x and y in the inequality

$x=1,y=1$

$1\geq 4(1)-5$

$1\geq -1$ ------> is true

therefore

the point $(1,1)$ is a solution of the inequality

Part 5) Write an inequality to match the graph

we know that

The equation of the line has a negative slope

The y-intercept is the point $(3,0)$

The x-intercept is a positive number

The solution is the shaded area above the dashed line

the equation of the line is $y=-5x+3$

The inequality is $y>-5x+3$

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Step-by-step explanation:

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Answer:

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7/12

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Step-by-step explanation:

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3 years ago

Melvin is X years old . Jonathan is 5 years older than Melvin. their total age 10 year later is 85 years .Find the value of X​

Melvin is X years old . Jonathan is 5 years older than Melvin. their total age 10 year later is 85 years .Find the value of X