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2 years ago

Which order pair is a solution of the inequality 4x – 2y > 20?

1 answer:

3 0

Let's solve for all of the ordered pairs...

A. (2,-7)

4x-2y>20
4(2)-2(-7)>20
8+14>20
22>20
True

B. (-2,-7)

4x-2y>20
4(-2)-2(-7)>20
-8+14>20
6>20
Not true

C. (-2,7)
4x-2y>20
4(-2)-2(7)>20
-8-14>20
-22>20
Not true

D. (2,7)
4x-2y>20
4(2)-2(7)>20
8-14>20
-6>20
Not true

A is the correct answer

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How many students are in Year 11?

worty [1.4K]

Answer:

308

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

There are nickels, dimes, quarters in a large piggy bank, for every 2 nickels there are 3 dimes, for every 2 dimes there are 5 q

Alex

There are 80 nickels and 120 dimes and 300 quarters in piggy bank

<em><u>Solution:</u></em>

Given that,

For every 2 nickels there are 3 dimes ,

So, ratio of nickel to dime will be 2 : 3

Also for every 2 dimes there are 5 quarters

So, ratio of dime to quarters is 2 : 5

Let us first find the ratio of nickles to dimes to quarters

nickel : dime = 2 : 3

dime : quarters = 2 : 5

$\frac{nickel}{dime} = \frac{2}{3}$

$nickel = \frac{2}{3} dime$

$\frac{dime}{quarter} = \frac{2}{5}$

$quarter = \frac{5}{2}dime$

So,

$nickel : dime : quarter = \frac{2}{3}dime : dime : \frac{5}{2}dime\\\\nickel : dime : quarter = \frac{2}{3} : 1 : \frac{5}{2}\\\\nickel : dime : quarter = 4 : 6 : 15$

Thus nickel : dime : quarters = 4 : 6 : 15

Now, let the number of nickel be 4x

Let the number of dimes be 6x

Let the number of quarters be 15x

From given question,

There are 500 coins in all.

number of nickel + number of dimes + number of quarters = 500

4x + 6x + 15x = 500

25x = 500

x = 20

Thus,

number of nickel = 4x = 4(20) = 80

number of dimes = 6x = 6(20) = 120

number of quarters = 15x = 15(20) = 300

Thus there are 80 nickels and 120 dimes and 300 quarters in piggy bank

3 0

3 years ago

Jillian is making accessories for the soccer team. She uses 667.43 inches of fabric on headbands for 27 players and 4 coaches. S

gulaghasi [49]

Answer:

21.53 in of fabric on headbands

7.67 in of fabric on wristbands.

Step-by-step explanation:

Step one:

given data

the total amount of person players plus coaches= 27+4= 31

for each person, she uses = 667.43/31= 21.53 in of fabric on headbands

She also uses 237.87inches of fabric on wristbands for just the players

For each player, she will use= 237.87/31= 7.67 in of fabric

Hence for each player, she used

21.53 in of fabric on headbands

7.67 in of fabric on wristbands

4 0

2 years ago

Find the value of a in the parallelogram.

S_A_V [24]

6a-4 = 3a+54
3a = 58
a = 58/3
a= 19.333

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2 years ago

Antonio uses a function to determine the height of a football from the time is kicked to the time it lands on the ground. Is the

Temka [501]

Answer:

Non-linear

Step-by-step explanation:

Here, we want to determine the function type that would model the height of a football from the time it was kicked to the time it lands on the ground

The way to go about this is to notice the kind of shape or trajectory the kicked football will take.

The shape it will take is non-linear. The shape it will take would be a parabolic curve. These parabolic curve models a quadratic equation and not a linear function. Hence we can conclude that based on the kind of path in which the ball traces, we can conclude that the function that results from its trajectory would not be a linear kind of equation or representation.

6 0

2 years ago