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Gnoma [55]
2 years ago
11

On a car trip , the number of miles driven , m , is proportional to the number of gallons of gas used , g , as shown in the tabl

e

Mathematics
1 answer:
FrozenT [24]2 years ago
3 0

Answer:

  m = 32g

Step-by-step explanation:

The proportion between m and g can be written ...

  m = kg

where k is the constant of proportionality.

__

We can find its value by dividing by g:

  k = m/g

Using any pair of corresponding values from the table, we find ...

  k = 64/2 = 32

The relationship between m and g can be expressed by the equation ...

  m = 32g

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The Venn diagram displays the number of employees at United Accounting Firm, in hundreds, who travel to work by a given method a
Svetlanka [38]

Answer:

c

Step-by-step explanation:

if 3500 employees work at the firm, the you minus the total amount of employees taking either a car or the train from 3500 (3500-2300 = 1200)

3 0
3 years ago
What is the best estimate for the quotient 5,397 divided by 62
marysya [2.9K]

Answer:

The best estimate is 90.

Step-by-step explanation:

Given : Quotient 5,397 divided by 62 .

To find : The best estimate of the given situation.

Solution : We solve this by approximating the term and then divide to get solution.

Approximation is rounding off the number

→ When the ones digit is greater than 5 (5, 6, 7, 8, or 9) then it round the number up.

→ When the ones digit is less than 5 ( 0, 1, 2, 3, or 4) then it round the number down.

Approximation of 5397 to hundredth is 5400

Approximation of 62 to tenth is 60

Now, divide 5400 by 60

\frac{5400}{60}= 90

Therefore, The best estimate is 90.

We can also cross check by actual division of 5397 by 62.

\frac{5397}{62}= 87.04

When we approximate 87.04 it round off to 90.

4 0
3 years ago
Read 2 more answers
The table represents an exponential function.
Harlamova29_29 [7]

Answer (B) 2/3

Explanation: the multiplicative rate is the ratio of the values y(k)/y(k+1) (with k being the index).  This ratio must be the same for the function to be exponential. We can take y(2)/y(1) = 4/6 = 2/3.

We can use 2/3 to verify the remaining entries:

x=3: 4*2/3 = 8/3 = y(3)

x=4: (8/3)*(2/3)=16/9=y(3)

5 0
3 years ago
If f(x) =ax+b ,f(-3)=-4 and f(3)=2, find the value of a and b please help​
hichkok12 [17]

Answer:

a = 1

b = -1

Step-by-step explanation:

First, let's make equations out of those given f(x)'s

-4 = -3a + b

2 = 3a + b

We can use elimination method to get rid of the a real quick

-4 = b

2 = b

Add those together

-2 = 2b

Divide both sides by 2

-2/2 = 2b/2

b = -1

Plug in the new b in one of the original equations; I'm gonna use the bottom one

2 = 3a - 1

+ 1        + 1

3 = 3a

3/3 = 3a/3

a = 1

4 0
2 years ago
Use the remainder theorem to divide 5x^2+9x-2 by x+3. What is the remainder
marishachu [46]

Answer:

16

Step-by-step explanation:

Given

f(x)=5x^2+9x-2

Remainder theorem states that when f(x) is divided by x-a then the remainder can be calculated by calculating f(a).

Now Using the remainder theorem to divide 5x^2+9x-2 by x+3 to find the remainder:

f(x)=5x^2+9x-2

f(-3) = 5(-3)^2 +9(-3) -2

       =5(9) - 27 -2

       = 45-29

        = 16 !

7 0
3 years ago
Read 2 more answers
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