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3 years ago

12

Nolan plots a point at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line through the two points

. Which equation represents Nolan’s line?

2 answers:

Alenkasestr [34]3 years ago

5 0

Y=2x+3
.......................

Kay [80]3 years ago

5 0

Answer:

y=2x+3

Step-by-step explanation:

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among a group of students 50 played cricket 50 played hockey and 40 played volleyball. 15 played both cricket and hockey 20 play

kondaur [170]

Answer:

Cricket only= 30

Volleyball only = 15

Hockey only = 25

Explanation:

Number of students that play cricket= n(C)

Number of students that play hockey= n(H)

Number of students that play volleyball = n(V)

From the question, we have that;

n(C) = 50, n(H) = 50, n(V) = 40

Number of students that play cricket and hockey= n(C∩H)

Number of students that play hockey and volleyball= n(H∩V)

Number of students that play cricket and volleyball = n(C∩V)

Number of students that play all three games= n(C∩H∩V)

From the question; we have,

n(C∩H) = 15

n(H∩V) = 20

n(C∩V) = 15

n(C∩H∩V) = 10

Therefore, number of students that play at least one game

n(CᴜHᴜV) = n(C) + n(H) + n(V) – n(C∩H) – n(H∩V) – n(C∩V) + n(C∩H∩V)

= 50 + 50 + 40 – 15 – 20 – 15 + 10

Thus, total number of students n(U)= 100.

Note;n(U)= the universal set

Let a = number of people who played cricket and volleyball only.

Let b = number of people who played cricket and hockey only.

Let c = number of people who played hockey and volleyball only.

Let d = number of people who played all three games.

This implies that,

d = n (CnHnV) = 10

n(CnV) = a + d = 15

n(CnH) = b + d = 15

n(HnV) = c + d = 20

Hence,

a = 15 – 10 = 5

b = 15 – 10 = 5

c = 20 – 10 = 10

Therefore;

For number of students that play cricket only;

n(C) – [a + b + d] = 50 – (5 + 5 + 10) = 30

For number of students that play hockey only

n(H) – [b + c + d] = 50 – ( 5 + 10 + 10) = 25

For number of students that play volleyball only

n(V) – [a + c + d] = 40 – (10 + 5 + 10) = 15

3 0

3 years ago

A phone company offers two monthly plans plan A cost $9 Plus And additional 0.12 $ for each minute of calls. Plan B cost $27 plu

Alisiya [41]

Answer: They will charge same amount for 360 minutes of calls.

Step-by-step explanation:

A phone company offers two monthly plans plan A cost $9 Plus And additional 0.12 $ for each minute of calls. Plan B cost $27 plus an additional $0.07 for each minute of calls

For what amount of calling do the two plans cost the same?

Let the each minute of calls be 'x'.

So, for plan A would be

plan A cost $9 Plus And additional 0.12 $ for each minute of calls is expressed as

$y_1=9+0.12x$

Plan B cost $27 plus an additional $0.07 for each minute of calls is expressed as

$y_2=27+0.07x$

According to question, it becomes,

$y_1=y_2\\\\9+0.12x=27+0.07x\\\\0.12x-0.07x=27-9\\\\0.05x=18\\\\x=\dfrac{18}{0.05}\\\\x=360$

Hence, they will charge same amount for 360 minutes of calls.

5 0

3 years ago

Write 4,300 in scientific notation

natita [175]

4,300 is 4.3×
${10}^{3}$

8 0

3 years ago

Vera's office recycled a total of 4 kilograms of paper over 2 weeks. After 7 weeks, how many kilograms of paper will Vera's offi

Natali [406]

Vera's office would recycle 9 kilograms of paper over 7 weeks. <span />

6 0

3 years ago

-1 (4x + 2y)<br> im kinda lazy

Eva8 [605]

Answer:

−4x−2y

BRAINLIST PLS!

3 0

3 years ago