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meriva
3 years ago
9

Solve by elimination. 2x + 8y = 60 5x + 4y = –10

Mathematics
1 answer:
puteri [66]3 years ago
8 0

Answer:

2x + 8y = 60= 30

5x + 4y = –10= -2

Step-by-step explanation:

Simplifying

2x + -8y = 60

Solving

2x + -8y = 60

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8y' to each side of the equation.

2x + -8y + 8y = 60 + 8y

Combine like terms: -8y + 8y = 0

2x + 0 = 60 + 8y

2x = 60 + 8y

Divide each side by '2'.

x = 30 + 4y

Simplifying

x = 30 + 4y

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assuming the growth rate stays constant at 1.2%, how many doublings would take place in a 500- year period?
Juliette [100K]

9514 1404 393

Answer:

  8.6

Step-by-step explanation:

The growth factor per year is 1.012, so in 500 years is ...

  1.012^500

The number of doublings is the solution to ...

  2^n = 1.012^500

Taking logarithms, we have ...

  n·log(2) = 500·log(1.012)

  n = 500·log(1.012)/log(2) ≈ 8.6046

About 8.6 doublings will take place in 500 years.

3 0
3 years ago
How many mathematical statements could you write using the numbers 4,5 and 20 for example 4x5=20 how many problems could you mak
soldi70 [24.7K]

Answer:

20 Divided By 5 = 4 or 5 x4 = 20

Step-by-step explanation:

6 0
3 years ago
A shopkeeper purchased hammocks for $800 and sold them at a discount of 25%. What was the selling price? Choose the correct opti
myrzilka [38]

Answer:

B

Step-by-step explanation:

25% of 800 is 200, so 800-200 is 600

6 0
3 years ago
Find slope<br><br> A.1/2<br> B.-1/2<br> C.-2<br> D.2
fomenos

Answer:

Option B, -1/2

Step-by-step explanation:

<u>The slope is change in y over change in x.</u>

<u />

<em>Since this line is facing downward, we already know that the slope is negative.</em>

<em />

<u>To find the ratio, find the change in y and divide the change in x.</u>

<em>Change in y = -1</em>

<em>Change in x = 2</em>

<em />

<u>Change in y over change in x:</u>  <em>-1/2</em>

Answer:  Option B, -1/2

6 0
3 years ago
A sprinkler that sprays water in a circular area can be adjusted to spray up to 30 feet. Turning the radius-reduction screw on t
zheka24 [161]

Answer:

Area_lawn = 393.75 π ft^2

Step-by-step explanation:

Maximum radius : 30 feet

Minimum radius:  30 feet - 0.25*(30feet)  =  22.5 feet

(25 percent reduction)

To find the area of lawn that can be watered, we just need to calculate the area for the maximum radius and the minimum radius, and then subtract them.

Since the sprinklers have a circular area:

Area = π*radius^2

Max area  = π*(30 ft)^2 = 900π ft^2

Min area  = π*(22.5 ft)^2 = 506.25π ft^2

Maximum area of lawn that can be watered by the sprinkler:

Area_lawn = Max area - Min area = 900π ft^2 -506.25π ft^2

Area_lawn = 393.75 π ft^2

5 0
3 years ago
Read 2 more answers
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