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2 years ago

13

Jacob traveled 171 miles in 3.8 hours. He wants to know how many miles he traveled in one hour, so he set up this problem:

2 answers:

Makovka662 [10]2 years ago

8 0

The answer is 45

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LenKa [72]2 years ago

5 0

Jacob traveled 4.5 miles

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Which of the relations given by the following sets of ordered pairs is a function?

adell [148]

Functions cannot have the same X value (the first number), but they can have the same Y value (the second number).
<span>A. {(1,2),(2,3),(3,4),(2,1),(1,0)}
B. {(2,−8),(6,4),(−3,9),(2,0),(−5,3)}
C. {(1,−3),(1,−1),(1,1),(1,3),(1,5)}
D. {(−2,5),(7,5),(−4,0),(3,1),(0,−6)}

Choice A. has two repeating X values [(1,2) and (1,0), (2,3) and (2,1)]
Choice B. has one repeating X value [(2, -8) and (2,0)]
Choice C. all has a repeating X value (1)
Choice D doesn't have any repeating X values.

In short, your answer would be choice D [</span><span>{(−2,5),(7,5),(−4,0),(3,1),(0,−6)}] because it does not have any repeating X values.</span>

8 0

4 years ago

Find the value of x.

12345 [234]

Answer:

x=27

Step-by-step explanation:

132 + 21 = 153

180 - 153 = 27

7 0

3 years ago

Read 2 more answers

I need help. please answer.

lana66690 [7]

Answer:

B

Step-by-step explanation:

7 0

3 years ago

Molly took part in a math quiz and scored 55 points on 30 questions. Of the questions, there were 3-point word problems, 2-point

seropon [69]

Answer:

$3\ point\ word = 5$

$2\ point\ word = 15$

$1\ point\ word = 10$

Step-by-step explanation:

Given

Represent

3-point word with T;

2-point with U and

1-point with V

$U = 5 + V$ --- (1)

If total questions is 30, then

$T + U + V = 30$ --- (2)

If total points is 55, then

$3T + 2U + V = 55$ --- (3)

Substitute 5 + V for U in (2) and (3)

$T + U + V = 30$ --- (2)

$T + 5 + V + V = 30$

$T + 5 + 2V = 30$

$T + 2V = 25$ ---- (4)

$3T + 2U + V = 55$ --- (3)

$3T + 2(5 + V) + V = 55$

$3T + 10 + 2V + V = 55$

$3T + 10 + 3V = 55$

$3T + 3V = 55 - 10$

$3T + 3V = 45$

Divide through by 3

$T + V = 15$ ---- (5)

Subtract (5) from (4)

$(T + 2V = 25 )- (T + V = 15)$

$T - T + 2V - V = 25 - 15$

$V = 10$

Recall that:

$U = 5 + V$

$U = 5 + 10$

$U = 15$

Substitute 10 for V in (5)

$T + V = 15$

$T + 10 = 15$

$T = 5$

3 0

3 years ago

A system of linear equations with more equations than unknowns is sometimes called an overdetermined system. Can such a system b

shepuryov [24]

Answer:

A. Yes, overdetermined systems can be consistent.

As, the system of equations below is consistent because it has a solution

$x_{1}=2$ , $x_{2}=4$ , $x_{1}+x_{2}=6$ .

Step-by-step explanation:

We have,

'Over-determined system is a system of linear equations, in which there are more equations than unknowns'.

For e.g. Let us consider the system,

2x - 3y = 1

3x - 2y = 4

x - y = 1

Plotting these equations, we see from the graph below that,

The only intersection point is (2,1). Thus, x= 2 and y= 1 is the solution of this system.

Thus, over-determined system can be consistent.

According to the options,

Option C is not correct as,

$x_{1}=2$ , $x_{2}=4$ implies $x_{1}+x_{2}=2+4=6\neq 8$ .

Hence, option A is correct.

7 0

3 years ago