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harkovskaia [24]
2 years ago
6

Jacob and his parents are going to visit Mitford University, which is 455 miles from where they live. They plan to drive for 4 h

ours on the first day, then stop at a hotel for the night and complete the trip on the second day. They expect their average speed will be 65 miles per hour. How many hours will they drive on the second day?
Mathematics
1 answer:
Andrej [43]2 years ago
6 0

Answer: 3 hours

Step-by-step explanation: 65x4=260 455-260=195 195/65=3

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A jar of natural peanut butter normally cost four dollars today it's on sale for $3.60 what is the percentage of the discount
kakasveta [241]
$4 is the original price of the jar consisting of peanut butter so therefor it = 100%. It's for sale at $3.60, so we divide $4 by 100% so we get the percentage for each cent and then we times it by 3.60 to get the percentage for $3.60 which is 90%. Now we subtract 90% from 100% to get the discounted percentage for 40cents :)

5 0
3 years ago
WILL MARK BRAINLY IF CORRECT!
bogdanovich [222]

Answer:

15

Step-by-step explanation:

The given equation is

12( -  \frac{1}{6}x  -  \frac{2}{3}y =  - 5)

5( \frac{2}{5} x +  \frac{1}{5} y =  - 9)

When we multiply we obtain the equations:

- 2x  -  8y =  - 60

2x + y =  - 45

We add both equations to obtain:

- 7y =  - 105

Divide both sides by -7 to get:

y =  \frac{105}{7}  = 15

6 0
3 years ago
Use the graph that shows the solution to f(x)=g(x).
madreJ [45]

Answer:

-2

Step-by-step explanation:

if showing in graph would be minus 2

8 0
3 years ago
1. If the domain of a function f(x) is the set {10, 20, 30}. What does the information tell you about f-1(x)?
ziro4ka [17]

PART A (1 in diagram)

Each mapping diagram represents a function because none of the elements in the inputs maps on to two different elements in the outputs.

1. The domain of the given function f(x) is the set {10, 20, 30}.

All we can say about

{f}^{ - 1} (x)

is that, it has a range of {10, 20, 30}.

This is because the domain of a function becomes the range of its inverse function.

2. If the graph of a function f(x) includes the point (3, 0), then the graph of the inverse function ,

{f}^{ - 1} (x)

will contain the point (0,3).

Reason:The point on the graph of the inverse function is obtained by reflecting the corresponding point on the graph of the function in the line y=x. We just have to swap the coordinates.

In simple terms the domain of the function becomes the range of the inverse function and vice versa.

3. If the first term in an arithmetic sequence is 2.

Then we have a=2.

If the twelfth term is 211, then

a + 11d = 211...(1)

Put a=2 into this equation.

2 + 11d = 211

Solve for d.

11d = 211 - 2

11d = 209

d =  \frac{209}{11}  = 19

If

a_n = 135

then

a + (n - 1)d = 135

Substitute a=2 and d=19

2 + (n - 1)19 = 135

19(n - 1) = 133

(n - 1) =  \frac{133}{19}

n - 1 = 7

n = 7 + 1 = 8

Therefore n=8

4 0
3 years ago
PLEASE PLEASE PLEASE HELP I really don’t understand this.
Amiraneli [1.4K]

Answer:

The second option is the answer.

Step-by-step explanation:

Do f(x) first, and then plug that into g(x).

f(x)=\sqrt{x+3}

(g o f)(x) = \frac{\sqrt{x+3}^{2}+2 }{\sqrt{x+3}}=\frac{x+5}{\sqrt{x+3}}

3 0
3 years ago
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