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mixer [17]
3 years ago
5

Which graph represents a function with direct variation

Mathematics
1 answer:
Amanda [17]3 years ago
3 0
Where’s the graph????
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8 times the difference between a number and 6 is equal to 4 times the number...
astraxan [27]

Answer:

(A) 12

Step-by-step explanation:

First, lets define the number as x.

"8 times the difference between a number and 6 is equal to 4 times the number" is translated into "8(x - 6) = 4x"

8(x - 6) = 4x

8x - 48 = 4x

4x = 48

x = 12

6 0
3 years ago
Read 2 more answers
How many rows are needed to seat all students. When there are 846 students and each row holds 18 people
lubasha [3.4K]

Answer:

47 rows

Step-by-step explanation:

To find the amount of needed rows, we will use the math operation division. We will take the total and divide it by the amount in each row.

846/18=47

To seat 18 people in each row, you will need 47 rows.

6 0
3 years ago
Find the sum of the arithmetic sequence.<br><br>-10, -7, -4, -1, 2, 5, 8​
Tema [17]

Answer:

-7

Step-by-step explanation:

3 0
3 years ago
A construction company purchased some equipment costing $300,000. The value of the equipment depreciates
goldfiish [28.3K]

Answer:

11.9\ years  

Step-by-step explanation:

we know that

The  formula to calculate the depreciated value  is equal to  

V=P(1-r)^{x}  

where  

V is the depreciated value  

P is the original value  

r is the rate of depreciation  in decimal  

x  is Number of Time Periods  

in this problem we have  

P=\$300,000\\r=14\%=14/100=0.14\\V=\$50,000

substitute the values and solve for x

50,000=300,000(1-0.14)^{x}  

(50,000/300,000)=(0.86)^{x}  

(5/30)=(0.86)^{x}  

Apply log both sides

log(5/30)=(x)log(0.86)  

x=log(5/30)/log(0.86)  

x=11.9\ years  

4 0
3 years ago
Read 2 more answers
A group of students goes out to lunch. If two have burritos and five have tacos, the bill will be $19.50. If five students have
nikklg [1K]

Answer:

The price of the burrito is $3.5 and the price of the taco is $2.5.

Step-by-step explanation:

2x+5y=19.5

5x+2y=22.5

------------------

5(2x+5y)=5(19.5)

-2(5x+2y)=-2(22.5)

-----------------------------

10x+25y=97.5

-10x-4y=-45

-----------------------

21y=52.5

y=52.5/21=2.5

2x+5(2.5)=19.5

2x+12.5=19.5

2x=19.5-12.5

2x=7

x=7/2=3.5

x=3.5, y=2.5

The price of the burrito is $3.5 and the price of the taco is $2.5.

8 0
3 years ago
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