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Write an expression to represent the situation.
A fire jet flies at an altitude of 25,000 feet and then dives to a depth of 600 feet below sea level. What is the difference in its elevation?

Answer:

the answer is a

Write the numerator and denominator with a common denominator. Then divide the numerator by the denominator. To do this, multiply the numerator by the reciprocal of the denominator.

Step-by-step explanation:

Simplifying an expression involves breaking down the expression.

The true statement is: (a) Write the numerator and denominator with a common denominator. Then divide the numerator by the denominator. To do this, multiply the numerator by the reciprocal of the denominator.

The expression is given as:

[tex]\mathbf{\frac{\frac{5}{a -3} - 4}{ 2 + \frac{1}{a - 3}}}[/tex]

Start by writing the numerator and the denominator, with a common denominator

[tex]\mathbf{\frac{\frac{5}{a -3} - 4}{ 2 + \frac{1}{a - 3}} = \frac{\frac{5 -4a +12}{a - 3}}{\frac{2a - 6 + 1}{a - 3}}}[/tex]

Cancel out the denominators of both fractions (by dividing the numerators)

[tex]\mathbf{\frac{\frac{5}{a -3} - 4}{ 2 + \frac{1}{a - 3}} = \frac{5 -4a +12}{2a - 6 + 1}}[/tex]

So, we have:

[tex]\mathbf{\frac{\frac{5}{a -3} - 4}{ 2 + \frac{1}{a - 3}} = \frac{17 -4a }{2a - 5}}[/tex]

Hence, the correct option is (a).

Read more about fraction division at:

https://brainly.com/question/17205173

Answer:

-x+7=8

bring the 7 over.

to do so you must subtract 7 from itself (canceling it out), then also subtract it from 8.

now you have -x=1.

divide -x by -x (or -1) which just gives you positive x.

do the same to the 1 on the other side, giving you

x= -1

Step-by-step explanation:

Answer:

47

Step-by-step explanation:

282 words in 6 minutes

? in 1 minutes

282÷6=47....

47×6=282

Answer:

943-13% = 820.41

820.41 - 6% = 771.1854

Step-by-step explanation:

Answer:

The answer is 2/3.

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

-2x+8y

-2(1/3)+8(1/6)

=2/3

Answer:

Doubt it because the answer has to be a factor of 10 but I may be wrong.

Answer:

x=-27

Step-by-step explanation:

4/7x * 14x = 1/14(14x) + 5/2x(14x)

Multiply both sides by 14x

8 = x+35

-27 = x

Answer:

yes it is an integer

Step-by-step explanation:

please mark as brainliest

Answer:

Step-by-step explanation:

It is an integer because integers are whole numbers. This means that it doesn't include decimals, fractions, and irrational numbers. Even though not all negative numbers are integers, this one is, and that is because it is not a decimal, fraction, or irrational number.

Hope this helps! ^^

Answer:

4

Step-by-step explanation:

you have to reverse the equation is A=lw then to get l you use l=A/w

Answer:

Divide 28 by 2

Step-by-step explanation:

When the variable of interest is multiplied by something, you undo that multiplication by dividing the equation by that something.

Here, l is multiplied by 2, so the solution is found by dividing ...

... 28 = l·2

by 2 to get ...

... 28/2 = l

That is, you divide 28 by 2 to find l.

Answer:

1.  x=-7/3 + 4y/3

2. x= 6- 3y/4

Step-by-step explanation:

to isolate the variable you simply solve for it by moving all the terms which don't contain x to the right by multiplying, subtracting, adding, and dividing

Answer: <1 is 46

Step-by-step explanation: If 4x+10+2x-16=180 becuase they are same sided interior angle they have to equal 180. and if you do the process you get X=31 and if you plug it in you get <1=46 and to check it you have to plug it in the other and add thoses two up and see if you get 180. which it does.

Answer:

Graph

Step-by-step explanation:

Answer: x=20 degrees

Step-by-step explanation:

Base angle theorem makes angle 2 congruent to the 30 degrees angle.

Make an equation: 2x-10=30

Solve it to get x= 20 degrees.

Answer:

square root of 20

Step-by-step explanation:

Answer:

sq root of 20

Step-by-step explanation:

Answer:

y = 5x/4 + 10

Step-by-step explanation:

If two lines are parallel, the slopes are equal

The equation of a straight line is y = mx + c

where m is slope and c is y-intercept

So in this case 5/4 is also the slope m of the second line

we can write the equation as;

y-y1 = m(x-x1)

y-0 = 5/4(x + 8)

y = 5x/4 + 10

Answer:

The answer should be 14.

Step-by-step explanation:

14×7=98

Answer:

E

Step-by-step explanation:

Because the y-intercept is (0,-20)

Answer:

wut

Step-by-step explanation:

Answer:

4.39 to 2DP.

Step-by-step explanation:

x * (x - 2) =  28

x^2 - 2x = 28

Solving by completing the square:

(x - 1)^2 - 1 = 28

(x - 1)^2 = 29

x = +/-√29 + 1

x = 6.38516, -4.38516

x must be positive so it = 6.38516.

The shortest side = x - 2 = 4.385.

Answer:

Answer 3

Step-by-step explanation:

We know if two line pass through each other that the opposite angles will always be equal. Do we know it is simalar and that it is angle angle (aa), not angle side angle (asa). And we can also figur out GHF is similar to KHJ because it is a mirror, unlike JHK.

Answer:

You find an area of a square by multiplying the width and the length.

Answer:

you multiply the length by the width.

Step-by-step explanation:

the attached file shows what the length and width are.

Answer: Jana and Tim will only spend the same amount on purchase orders to their manufacturers when they each order products with a total purchase value of $100.

Step-by-step explanation:

Jana and Tim would only be incurring same amount when both total purchase is to a value of $100. This is so because by purchasing a goods worth same amount, they both end up incurring $15 dollar additional cost. Jana would spend $15 on shipping her goods, while Tim would pay $4 Handling fees and $11 dollar shipping fee which would also amount to $15. What this means is total spent for both Jana and Tim would amount to $115 each.

Answer:

-0.125 or -1/8

c. 5x4=20

4x4=16 items.

Answer:

the answer is x =6

Step-by-step explanation:

hope this helps!!

Answer:

C. 300

We need to find the temperature that most resembles with the model

We can easily see the graph if we plot it using a calculator

f(t) = 349.2(0.98)^t

Case a.  0

Zero is only achievable as the cooling time goes to infinity. This is not the case.

Case b.  100

for f = 100,

t ≈ 61.6,

which is out of the values of the table

Not the correct option

Case c.  300

for  f = 300,

t ≈ 7.5,

which is in range with the values of the table

Answer:

CCCCCC

Step-by-step explanation:

Answer:

The question, in the slope-intercept form will be:

Step-by-step explanation:

Taking the two points on the line to find the slope

(0, 0)

(4, 4)

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(4,\:4\right)[/tex]

[tex]m=\frac{4-0}{4-0}[/tex]

[tex]m=1[/tex]

As the point-slope form is

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope

substituting the values m = 1 and the point (0, 0)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-0=1(x-0)[/tex]

[tex]y=x[/tex]

As the slope-intercept form is

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

so writing the equation in slope-intercept form

[tex]y=x[/tex]

[tex]y=1(x)+0[/tex]

Therefore, the question, in the slope-intercept form will be:

Answer:

y=mx+b

y=-4x +12 is your equation

m= yo

your slope

Step-by-step explanation:

Answer:

The equation of the line that passes through the points (-1,8) and (2,-4) is:

Step-by-step explanation:

Given the points

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-1,\:8\right),\:\left(x_2,\:y_2\right)=\left(2,\:-4\right)[/tex]

[tex]m=\frac{-4-8}{2-\left(-1\right)}[/tex]

[tex]m=-4[/tex]

As the point-slope form of the line equation is

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope.

substituting the values m = -4 and the point (-1,8)

[tex]y-\(8\right=-4\left(x-\left(-1\right)\right)[/tex]

[tex]y-8 = -4(x+1)[/tex]

Add 8 to both sides

[tex]y-8+8=-4\left(x+1\right)+8[/tex]

[tex]y=-4x+4[/tex]

Therefore, the equation of the line that passes through the points (-1,8) and (2,-4) is:

Answer:

impossible

Step-by-step explanation: