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3 years ago

6. Elena has $84, and Priya has $12. How much money must Elena give to Priya so that Priya will have three

Mathematics

1 answer:

sineoko [7]3 years ago

5 0

The amount of money Elena has to give Priya so she has 3 times Elena's balance is $12

Given the Parameters :

Amount Elena has = $84
Amount Priya has = $12
Let the amount Elena gives out to Priya = p

We can set up an expression thus :

84 - p = 3(p + 12)

84 - p = 3p + 36

Collect like terms :

-p - 3p = 36 - 84

-4p = - 48

p = 48 / 4

p = 12

Therefore, Elena has to give $12 to Priya, so that Priya has 3 times the amount owned by Elena.

Learn more : brainly.com/question/18796573

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Elena L [17]

Answer:

$15.5

Step-by-step explanation:

33.50-18=15.5

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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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3 years ago

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find the slope and y-intercept of the line that is perpendicular to y= -2/3x+5 and passes through the line -6,4

nexus9112 [7]

$y = mx+b\\\\[m is the slope, b is the y-intercept]\\\\y=\frac{2}{3}x+5\\$

That means 2/3 is the slope and 5 is the y-intercept.

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

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