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ivolga24 [154]
3 years ago
12

Need help with Geometry homework.

Mathematics
1 answer:
solmaris [256]3 years ago
7 0

Answer:

SU = 22

Step-by-step explanation:

SR = RU

4x - 1 = x + 8

3x - 1 = 8

3x = 9

x = 3

SR =  4(3) - 1 = 11

RU =  3 + 8 = 11

SU = 11 + 11 = 22

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Nikolai can spend up to 7  hours this weekend performing chores around his parents’ veterinary practice. They pay him $3  for ev
iren [92.7K]
We start by setting out the inequalities

Let the number of kennels is 'k' and the number of dogs is 'd'

Inequality 1:

30 minutes per dog + 10 minutes per kennel ≤ 7 hours 
30d + 10k ≤ (7 × 60)
30d + 10k ≤ 420

Inequality 2:

Number of kennels to be cleaned is 30
k ≤ 30

Inequality 3:

Number of dogs to bathe is 10
d ≤ 10

Sketching the graph on the Cartesian axes will look like the diagram below
---------------------------------------------------------------------------------------------------------------

PART A

From the graph, we can see two intersection coordinates that satisfy the three inequality, which we will check in turn for the greatest possible money that Nikolai could earn

First coordinate (18, 8) ⇒ This means, 18 kernels and 8 dogs
(18 × $3) + (8 × $10) = 54 + 80 = $134

Second coordinate (30, 4) ⇒ This means, 30 kernels and 4 dogs
(30 × $3) + (4 × $10) = $90 + $40 = $130

The maximum earning Nikolai could get is $134 if he cleans 18 kernels and baths 8 dogs.
-----------------------------------------------------------------------------------------------------------PART B

If Nikolai cleans all the kernels first, he'd spend 30 × 10 minutes = 300 minutes out of 420 minutes he has in total in a day

He'd have 420 - 300 = 120 minutes left to bath some dogs.

He needs 30 minutes to bath one dog
With 120 minutes he's got left, he can only bath 120 ÷ 30 = 4 dogs


 

6 0
3 years ago
Revel and Scooters are the best scooter experience in the Nation which is the best scooter rental service in the nation? Create
Luda [366]

Answer:

<em>See the graph with both lines attached</em>

A) From the tables we see the constant change of values in the second column and the initial value is zero.

This represents a proportional relationship for both tables.

B) <u>Revel</u>

  • Rate of change is 5 per hour, the equation is:
  • y = 5x, where y is cost, x - is the number of hours

<u>Scooters</u>

  • Rate of change is 6 per hour, the equation is:
  • y = 6x, where y is cost, x - is the number of hours

C) <u>When x = 12</u>,

  • y = 5*12 = $60 for Revel
  • y = 6*12 = $72 for Scooters

D) <u>The point (4, 24) represents that:</u>

  • The cost of 4 hours is $24

E) The second table has confusing titles (days and number of cell phones) but if we assume its same as the first table, then Revel has lower rate as 5 < 6.

Comparing the prices and the graph, Revel has better rate per hour.

8 0
3 years ago
Your class sponsors a benefits concert and prices the tickets at $8 each. Jordan sells 12 tickets, Andy 16, Morgan 17, and Pat 1
EleoNora [17]
Te total revenue brought in by the 4 is $464
5 0
3 years ago
Need help answering these questions
OleMash [197]

Answer:

Step-by-step explanation:

4 0
3 years ago
In a certain soccer tournament you play 6 games. In every match you get 3 points if you win, 1 point for a draw and 0 points if
Ann [662]

Answer:

0.430625 = 0.431

Step-by-step explanation:

Let W represent winning, D represent a draw and L represent a loss.

12+ points can be garnered in each of the following ways.

6W 0D 0L

5W 1D 0L

5W 0D 1L

4W 2D 0L

4W 1D 1L

4W 0D 2L

3W 3D 0L

The probability of getting 12+ points is the sum of all these 7 probabilities.

Knowing that P(W) = 0.5

P(D) = 0.1

P(L) = 0.4

P(6W 0D 0L) = [6!/(6!0!0!)] 0.5⁶ 0.1⁰ 0.4⁰ = 0.015625

P(5W 1D 0L) = [6!/(5!1!0!)] 0.5⁵ 0.1¹ 0.4⁰ = 0.01875

P(5W 0D 1L) = [6!/(5!0!1!)] 0.5⁵ 0.1⁰ 0.4¹ = 0.075

P(4W 2D 0L) = [6!/(4!2!0!)] 0.5⁴ 0.1² 0.4⁰ = 0.09375

P(4W 1D 1L) = [6!/(4!1!1!)] 0.5⁴ 0.1¹ 0.4¹ = 0.075

P(4W 0D 2L) = [6!/(4!0!2!)] 0.5⁴ 0.1⁰ 0.4² = 0.15

P(3W 3D 0L) = [6!/(3!3!0!)] 0.5³ 0.1³ 0.4⁰ = 0.0025

The probability of getting 12+ points = 0.015625 + 0.01875 + 0.075 + 0.09375 + 0.075 + 0.15 + 0.0025 = 0.430625

5 0
3 years ago
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