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Gnom [1K]
2 years ago
15

The length of a tunnel is 450 miles. On a map of the tunnel, 1 inch represents 60 miles. What is the length of the tunnel on the

map?
[blank] inches
Mathematics
1 answer:
Ierofanga [76]2 years ago
5 0

Answer:

7.5 is the blank

Step-by-step explanation:

1 in = 60 m

? in 450 m

450÷60 = ? in

7.5 in = ?

Therefore the length of the tunnel on the map is 7.5 inches

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The ordered pairs (−4,−3)
lilavasa [31]

The equations and inequality expresses the relationship between the variables.

The correct responses are;

  • First part; The rule that represent the function is; <u>y = 0.5·x - 1</u>
  • Second part; the correct option is the inequality; <u>2·n - 6 ≥ 35</u>
  • Third part; \displaystyle \underline{b = \frac{- a\cdot x^2 - c}{x}}
  • Fourth part; <u>Table 4</u>
  • Fifth part; \displaystyle  \underline{y < -\frac{1}{2} \cdot x - 4}
  • Sixth part; <u>75·w + 55 ≤ 400</u>

Reasons:

First part;

The difference between y-values following a change in 2 units of the x-value is a constant, and is equal to 1;

The rate of change of the function, <em>m</em>, is therefore;

\displaystyle m = \frac{2 - 1}{6 - 4}  = \frac{1}{2} = 0.5

The slope and intercept form of the equation of the function is therefore;

y - 3 = 0.5·(x - 8) = 0.5·x - 4

y = 0.5·x - 4 + 3 = 0.5·x - 1

The rule that represent the function is; <u>y = 0.5·x - 1</u>

Second part;

2·n represent twice the number

The difference between twice the number and 6 = 2·n - 6

At least 35 = ≥ 35

Therefore, the inequality is; <u>2·n - 6 ≥ 35</u>

Third part;

The given quadratic equation is; a·x² + b·x + c = 0

Therefore;

\displaystyle \underline{b = \frac{-c - a\cdot x^2}{x}}

Fourth part;

The best correct option is table 4, given that the table is as follows;

\begin{tabular}{|c|cc|}In&&Out\\Not clear&&\\9&&17\\10&&19\end{array}\right]

Fifth part;

The y-intercept of the graph is -0.5

The slope is -4 ÷ 8 = -0.5

Therefore, the equation is; y = -0.5·x - 4

The shaded area is the area lower than the y-values, with broken lines (indicating < relationship) which gives, the correct inequality as follows;

\displaystyle  \underline{y < -\frac{1}{2} \cdot x - 4}

Sixth part;

The amount Jordan part-time job pays = $75

The amount he has already saved = $55

The cost of the iPhone = $400

Let <em>w</em> represent the number of weeks Jordan works, at his part-time job to purchase the iPhone, we have;

<u>75·w + 55 ≤ 400</u>

Learn more about writing equations and inequalities here:

brainly.com/question/14321394

3 0
2 years ago
Paul has 144 army man and his toy box into six equal groups for battle how many army men are in each group
iogann1982 [59]
I'm pretty sure this one is super easy 
you just take 144 and divide it by 6 which would look like 
144/6 then the answer is 24 
5 0
2 years ago
Read 2 more answers
Find g(4) and f(g(4)) <br> f(x)=x^2-x+1 <br> g(x)= 3x-5
Ira Lisetskai [31]

Answer:

g(4)  = 7 and f(g(4)) = 43

Step-by-step explanation:

First find g:

g(x) = 3x-5

g(x) = 3(4) - 5

g(x) = 12 - 5

g(x) = 7

Plug in:

f(g(4))

f(7)

Now, find f:

7^2 - 7 + 1

49 - 7 + 1

42 + 1

f(x) = 43

5 0
2 years ago
The product of a number and its blank is one
Monica [59]

The product of any number and its reciprocal is ' 1 '.

Call the number  ' Q '.
Whatever the number is, its reciprocal is  1/Q .

Their product is 
                             ( Q ) x ( 1/Q )  =  ( Q/Q )  =  1
5 0
3 years ago
Hello please help with the following i've been up all night i need help(SHOW WORK):
gladu [14]

1) 462/11= 42

  42x7=294

2) 9.38/7= $1.34

3) 6/11= 0.54545454545455

4) 1/4= 0.25

   2/9= 0.22222222222

   3/10= 0.30

   2/1= 2.00

   1/5= 0.20

   least to greatest- 1/5, 2/9, 1/4, 3/10, 2/1

5) 9/15= 0.6 > 60%

    to turn into a percent, move 2 decimal places!

6) 10/4= 2.5

    2.5x18= 45

7) 2/3= 0.66666666666

   0.66666666666x7= 4.66666666667

5 0
2 years ago
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