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Allushta [10]
2 years ago
10

Rory's number is 0.3 larger than Lori's number, and the sum of their numbers is 13. What is ten times Lori's number multiplied b

y 2016?
Mathematics
1 answer:
SashulF [63]2 years ago
3 0

Answer:

256032

Step-by-step explanation:

13-.03 is 12.7

12.7 x 10= 127

127 x 2016= 256032

Weird question, but I hope this helps!

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Which one is a irrational number and why ?
Gnom [1K]

Answer: Option A, the square root of 40, is an irrational number.

Step-by-step explanation:

We are given 4 options:

- the sqrt of 40

- the sqrt of 49

- the sqrt of 100

- the sqrt of 9

All but one are perfect squares. Let's find out which one is not a perfect square.

The sqrt of 49 is 7. 7 times 7 is equal to 49.

The sqrt of 100 is 10. 10 times itself is equal to 100.

The sqrt of 9 is 3. 3 times 3 is equal to 9.

What about the square root of 40?

We know it's not a perfect square, and it's somewhere between 6 and 7. So, the hint from the question tells us that imperfect squares are irrational. Then this must be the answer!

4 0
3 years ago
Read 2 more answers
Help plsss 20+ pointsss
Lena [83]

Answer:

3

Step-by-step explanation:

area of square=l*b so

81=3x multiply 3x

81=9x^2

81/9=x^2

9=x^2

\sqrt9=x

3=x

4 0
2 years ago
Hannah Ortega is considering expanding her business. She plans to hire a salesperson to cover trade shows. Because of compensati
mariarad [96]

Answer:

a) Total Cost for EzRecords = $13000

Cost per unit of EzRecords = $162.50

Total Cost for ProOffice = $10000

cost per unit of ProOffice = $200.00

b) Total Cost for EzRecords = $25000

Cost per unit of EzRecords = $125.00

Total Cost for ProOffice = $17500

cost per unit of ProOffice = $175.00

Step-by-step explanation:

a) Total Cost = Fixed Cost + Variable Cost

Fixed Cost = $7500

Variable Cost = cost of making a unit of output × number of units produced.

Variable Cost of EzRecords products = $100 × 80 = $8000

Variable Cost of proOffice products = $150 × 50 = $7500

Fixed Cost for EzRecords = (20/30) × 7500 = $5000

Fixed Cost for ProOffice = (10/30) × 7500 = $2500

Variable cost for EzRecords = $8000

Variable cost for ProOffice = $7500

Total cost for EzRecords = Fixed Cost + Variable Cost = $5000 + $8000 = $13000

Total Cost for ProOffice = $2500 + $7500 = $10000

Cost per unit for EzRecords = (total cost of production)/(total units produced) = 13000/(80) = $162.50

Cost per unit of ProOffice = 10000/50 = $200.00

b) Total Cost = Fixed Cost + Variable Cost

Fixed Cost = $7500

Variable Cost = cost of making a unit of output × number of units produced.

Variable Cost of EzRecords products = $100 × 200 = $20000

Variable Cost of proOffice products = $150 × 100 = $15000

Fixed Cost for EzRecords = (20/30) × 7500 = $5000

Fixed Cost for ProOffice = (10/30) × 7500 = $2500

Variable cost for EzRecords = $20000

Variable cost for ProOffice = $15000

Total cost for EzRecords = Fixed Cost + Variable Cost = $5000 + $20000 = $25000

Total Cost for ProOffice = $2500 + $15000 = $17500

Cost per unit for EzRecords = (total cost of production)/(total units produced) = 25000/(200) = $125.00

Cost per unit of ProOffice = 17500/100 = $175.00

8 0
3 years ago
Consider the graph of the cosine function shown below.
nata0808 [166]

Answer:

a. Amplitude: 4

Period: 1

b. The maximum values occur at \theta=0,1,2

The minimum values occur at \theta=\frac{1}{2},\frac{3}{2}

The zeros occur at \theta=\frac{1}{4},\frac{3}{4},\frac{5}{4},\frac{7}{4}

Step-by-step explanation:

We can see from the graph that;

-4\le f(x) \le 4.

This implies that;

|A|=4.

The amplitude is 4.

The function also completed one full cycle on the interval [0,1]

The period is

T=|1-0|=1

The maximum values occur at \theta=0,1,2

The minimum values occur at \theta=\frac{1}{2},\frac{3}{2}

The zeros occur at \theta=\frac{1}{4},\frac{3}{4},\frac{5}{4},\frac{7}{4}

This is where the graph intersected the x-axis.

7 0
2 years ago
The distance travelled by a car is 15km. If the car travelled at an average speed of 50km/h, how long did the trip take? Show wo
egoroff_w [7]

Answer:

18 minutes

Step-by-step explanation:

Given distance (D) and average speed (S) then time (T) is calculated as

T = \frac{D}{S} = \frac{15}{50} = \frac{3}{10} hour

\frac{3}{10} hour = \frac{3}{10} × 60 min = 3 × 6 = 18 mins

6 0
3 years ago
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