What is 2x-3/4(2x+80)

Arrange the pairs of points in increasing order of slopes of the lines joining them

sladkih [1.3K]

Answer:

(27,2) and (243,18)

(63,9) and (84,12)

(45,15) and (60,20)

(27,12) and (72,32)

(15,30) and (20,40)

(12,32) and (18,48)

(18,63) and (24,84)

Step-by-step explanation:

Formula for slope of a line is

$m=\dfrac{y_2-y_1}{x_2-x_1}$

a) (15,30) and (20,40).

$m_a=\dfrac{40-30}{20-15}=\dfrac{10}{5}=2$

Similarly find the slope of other lines.

b) (12,32) and (18,48).

$m_b=\dfrac{48-32}{18-12}=\dfrac{16}{6}=2.67$

c) (27,12) and (72,32).

$m_c=\dfrac{32-12}{72-27}=\dfrac{20}{45}=0.44$

d) (45,15) and (60,20).

$m_d=\dfrac{20-15}{60-45}=\dfrac{5}{15}=0.33$

e) (27,2) and (243,18).

$m_e=\dfrac{18-2}{243-27}=\dfrac{16}{216}=0.074$

f) (18,63) and (24,84).

$m_f=\dfrac{84-63}{24-18}=\dfrac{21}{6}=3.5$

g) (63,9) and (84,12).

$m_g=\dfrac{12-9}{84-63}=\dfrac{3}{21}=0.143$

After arranging the slopes in increasing order, we get

$m_e$

So, required arrangement of ordered pairs is

(27,2) and (243,18)

(63,9) and (84,12)

(45,15) and (60,20)

(27,12) and (72,32)

(15,30) and (20,40)

(12,32) and (18,48)

(18,63) and (24,84)

7 0

2 years ago

On a recent trip to the convenience store, you picked up 3 gallons of milk, 6 bottles of water, and 8 snack-size bags of chi

SVETLANKA909090 [29]

Answer:

The answers to the question are as follows

A bottle of water costs $2.00

A gallon of mik cots $4.10 and

A bag of chips costs $1.00

Step-by-step explanation:

To solve the question, it is important to note that it is a word problem hence we read the question carefully to clearly understnd and be able to interprete the message from any perspective

We list out the variables as follows

Number of gallons of milk = 3

Number of bottles of water = 6

Number of chips bags = 8

Bill before tax = $32.30

Price of a bottle of water = twice the price of a bag of chips

Price of a gallon of mlk = $ 2.10 + price of a bottle of water

Therefore in order to find out how much each item costs let us call the price of bottle of water $x say

This means that the price of a bag of chips = x/2 and

The price of a gallon of milk = x + $2.10

Therefore we have by multiplying the prices of the items to their respective quantities and summing up

$(6x + 3(x+2.1)+ 8 x/2) = $32.3

This gives by expanding the values 6x+3x+6.3+4x =32.3

13x+6.3 =32.3

13x = 32.3 - 6.3 = 26

Dividing both sides by 13 gives

x = $2.00

This means that a bottle of water costs $2.00

A gallon of mik cots $2.00+$2.10 = $4.10

A bag of chips costs x/2 which is equal to $2.00/2 = $1.00

8 0

3 years ago

What angle do the minute and hour hands make at 4:30??

seraphim [82]

Answer:

45°

Step-by-step explanation:

The hour hand makes a trip of 360° around the face of the clock in 12 hours, so in 4.5 hours will make an angle of ...

... (4.5/12)·360° = 135°

clockwise from straight up.

The minute hand makes that 360° turn in 1 hour, so in 30 minutes, it will be 180° clockwise from straight up.

The difference between the angles of the hands is ...

... 180° -135° = 45°

3 0

3 years ago

-3 17/20 as a decimal

alekssr [168]

Answer:

-3.85

-3 is a whole number, it comes before the decimal point.

17/20 is a fraction so it goes on the other side.

7 0

3 years ago

I need to find this angle please help i know it is adjacent but i need the angle.

Tatiana [17]

Answer:

148 degrees!

Step-by-step explanation:

They are 180 degrees together so just subtract 32. 180- 32 = 148.

4 0

2 years ago

Read 2 more answers