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Alika [10]
3 years ago
7

An airplane company wants to make a model of an 87 foot airplane. The scale they are using is 2in=8ft. How many inches long with

the model airplane be?
Question 2 options:

2 inches


16 inches


10.875 inches


21.75 inches
Mathematics
1 answer:
aivan3 [116]3 years ago
7 0
I think the correct answer is 10.875
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Pls help! 50 POINTS!
nirvana33 [79]

Answer:

See below.

Step-by-step explanation:

1)

So we have the equation:

2x+3y=1470

To change into the slope-intercept form, we need to isolate the y-variable. Thus, subtract 2x from both sides:

(2x+3y)-2x=(1470)-2x

The left side cancels:

3y=1470-2x

Now, divide both sides by 3. The left side cancels:

(3y)/3=(-2x+1470)/3\\y=-\frac{2}{3} x+490

The slope-intercept form is:

y=mx+b

Where m is the slope and b is the y-intercept.

Thus, the slope is -2/3 and the y-intercept is 490.

2)

So, since we already know the y-intercept is 490, plot a point at (0,490).

The slope is too small to use. Thus, multiply the fraction by 100. It is now (-200/300). This means that we move <em>down</em> 200 for every 300 (recall that the slope means rise over run. Thus, we move down 200 for every 300 to the right). Thus, another possible point would be (0+300,490-200) or (300,290). Plot that. Then, connect them.

3)

To write in in function notation, simply substitute the y-variable for the function notation. Our independent variable here is x so we'll use that.

y=-\frac{2}{3}x+490\\ f(x)=-\frac{2}{3}x+490

This means that for every x sandwiches made, there is f(x) wraps made for the total sum to be $1,470.

For example, if 105 sandwiches were made, then f(105)=-2/3(105)+490=420 wraps were made for the total profit to be $1,470.

4)

Please refer to the attached graph.

5)

First, since the total profit has now increased, the graph above and to the right of the old graph. This is because Sal needs to sell more sandwiches and wraps. Likewise, because of this, the x- and y-intercepts will also be different. Nevertheless, if converted into the slope-intercept equation, the slope will remain the same.

5 0
3 years ago
Read 2 more answers
Salena, Justin, and Brandon were riding their bikes to the library after school. The library is 12 1/2 miles from school. Salena
faust18 [17]

Answer:

Salena's got to the library first

Step-by-step explanation:

12½ miles = 25/2 miles

2½ miles = 5/2 miles

5¾ miles = 23/4 miles

114 miles = 114 miles

Salena's time of arrival =

if 5/2 miles : 5 minutes

then 25/2 miles : ?

25/2 ÷ 5/2. × 5

25/2 × 2/5 × 5

25 minutes

Justin 's time of arrival=

if 23/4 miles : 12 minutes

25/2 miles : ?

25/2 ÷ 23/4 ×12

25/2 × 4/23 ×12

26 minutes approximately

Brandon 's time of arrival=

if 114 miles : 258 minutes

25/2 miles : ?

25/2 ÷114 ×258

25/2 × 1/114×258

25 × 1/57 × 258

113 minutes approximately

3 0
3 years ago
I need help with this please
sergeinik [125]
46. They are corresponding angles. if you get rid of the line in between 46 and C then youll see that they are on 1 line and corresponding angles are always equal
3 0
2 years ago
Assume that y varies directly as x then solve. If x = 12 <br> when y = 15 find x when y = 21.
Viefleur [7K]

Answer:

18

Step-by-step explanation:

12 and 15 are both dividable by 3 and 3 apart so if you subtract 21 by 3 than you get 18

7 0
2 years ago
Read 2 more answers
Find the equation of the line that is parallel toy=32x−5
Alona [7]

Answer:

d/dx ( 32x - 5)

Step-by-step explanation:

i think this is right please tell me if its not

8 0
3 years ago
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