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2 years ago

Which expression is equivalent to (7 – 3k) – (4 – 5k) – (6 – 2k)?

Mathematics

1 answer:

gladu [14]2 years ago

3 0

Answer:

The right response is " $3(k-1)$ ". A further solution is given below.

Step-by-step explanation:

The given expression is:

⇒ $(7 -3k) - (4 - 5k) - (6 - 2k)$

On solving the above expression, we get

⇒ $7-3k-4+5k-6+2k$

⇒ $7-3k-10+7k$

⇒ $3k-3$

On taking "3" as common, we get

⇒ $3(k -1 )$

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What is the radius and center of the circle given by the equation (x-5)^{2}+(y+2)^{2} = 81/4

artcher [175]

Answer:

The center is (5, -2) and the radius is 9/2

Step-by-step explanation:

The equation of a circle can be written by

(x-h) ^2 + (y-k)^2 = r^2

where (h,k) is the center and r is the radius

(x-5)^{2}+(y+2)^{2} = 81/4

( (x-5)^{2}+(y- -2)^{2} = (9/2)^2

The center is (5, -2) and the radius is 9/2

6 0

2 years ago

John is selling tickets to an event. Attendees can either buy a general admission ticket, x,

Masteriza [31]

John sold 18 general admission tickets and 11 VIP tickets.

Step-by-step explanation:

Given,

Cost of each general admission = $50

Cost of each VIP ticket = $55

Total tickets sold = 29

Total revenue generated = $1505

Let,

x represent the number of general admission tickets sold

y represent the number of VIP tickets.

x+y=29 Eqn 1

50x+55y=1505 Eqn 2

Multiplying Eqn 1 by 50

$50(x+y=29)\\50x+50y=1450\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(50x+55y)-(50x+50y)=1505-1450\\50x+55y-50x-50y=55\\5y=55$

Dividing both sides by 5

$\frac{5y}{5}=\frac{55}{5}\\y=11$

Putting y=11 in Eqn 1

$x+11=29\\x=19-11\\x=18$

John sold 18 general admission tickets and 11 VIP tickets.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

5 0

3 years ago

Li mixes 3 liters of red paint with 8 liters of white paint to get pink. How many units of red paint should she mix with 24 lite

professor190 [17]

Would it be 9 because 8 times 3 equals 24 and 3 times 3 equals 9

6 0

3 years ago

The data set shown below represents the number of times some families went out for dinner the previous week. 4, 2, 2, 0, 1, 6, 3

Mkey [24]

Dot plots are used to represent data using dots

The true statements about the dataset are:

The range of the number line should be 0 to 7 to represent the frequency.
Four families said they ate out twice the previous week.
One family said they ate out 5 times the previous week

The dataset is given as:

4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1

Rearrange in ascending order

0, 0, 1, 1, 2, 2, 2, 2, 4, 4, 5, 6

Represent as a frequency table

Data Frequency

0 2

1 2

2 4

3 0

4 2

5 1

6 1

See attachment for the dot plot

From the attachment, we can see that:

4 has a frequency of 2
5 has a frequency of 1

Also, the range on the dot plot can be 0 to 7, because it covers the given dataset

Hence, the true statements are: (a), (b) and (c)