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2 years ago

Which algebraic expression represents “the difference of 54 and a number”?

Mathematics

2 answers:

vampirchik [111]2 years ago

5 0

Answer:

54 - number=x

example 54 -1 =53

If it doesnt sorry :(

mash [69]2 years ago

3 0

Answer: 54-x

Explanation:

1. We define the variable which is x or n (whichever you choose)

2. We write the algebraic expression that models the following problem:

the difference of 54 and a number.

3. We end up with our answer: 54-n OR 54-x

(Variable doesn't matter but most people use x when they don't have a named variable)

Hope this helps!!

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find to consecutivephone number such that five times the smaller number plus 3 times the greater number make 59 hint let the num

Scorpion4ik [409]

Answer:

x = 7 is the answer for the smaller number

7 + 1 = 8 is the answer for the larger number

Step-by-step explanation:

LET x and x+1 be the two numbers here, as your hint suggests.

5x + 3(x+1) = 59

5x + 3x+3 = 59

8x = 59-3

8x = 56

/8 /8

--------------------------

x = 56/8 ---> x = 7

x = 7 is the answer for the smaller number

7 + 1 = 8 is the answer for the larger number

Check:

5 * 7 + 3 * 8 = 59

35 + 24 = 59

59 = 59 CORRECT

7 0

3 years ago

1. Write out the law of cosines and find the hypotenuse of triangle with 2 sides lengths equal to three and the included angle m

LUCKY_DIMON [66]

Answer:

1.) $\sqrt{13.341}$ ≈ 3.652

2.) I would say something about how the A in front of cos in the equation would change to 90, rather than stay 75 (in the equation for the step by step), but it would be easier to just use the Pythagorean theorem.

Step-by-step explanation:

I think we may have the same class so hopefully this helps:

1.) $a^2 = b^2 + c^2 - 2bccosA$ --> law of cosines formula.

$a^2 = 3^2 + 3^2 - 2(3)(3)cos(75)$ --> plugged in numbers; when you draw the triangle, the included angle would be A, and the opposite side would be a. B and b, and C and c are opposite each other. In this case, a is the hypotenuse.

$a^2 = 18 - 18cos75$ --> in between steps.

$a^2 = 13.341$ --> more simplifying.

$a(hypotenuse) = \sqrt{13.341} or 3.652$ --> answer

2.) This one is just an explanation: The 75 in the equation is the given angle, which is a. If this changes, it would just change in the equation too. And obviously, if it's 90 degrees, you can just use Pythagorean theorem a^2+b^2=c^2.

Good luck! :)

6 0

3 years ago

How do i get the solution to graph 2x+3y=12

Pavel [41]

2x + 3y = 12

I am going to put this in y = mx + b form, where m is ur slope and b is ur y intercept.
2x + 3y = 12
3y = -2x + 12
y = -2/3x + 4......slope is -2/3 and y int is (0,4)

x int can be found by subbing in 0 for y and solving for x
2x + 3y = 12
2x + 3(0) = 12
2x = 12
x = 6.....so x int is (6,0)

start at y int (0,4).....and since the slope is -2/3, come down 2 spaces, and to the right 3 spaces, then down 2 spaces, to the right 3 spaces....keep doing that and u should cross the x axis at (6,0)

7 0

3 years ago

Find the limit, if it exists. lim (x^3 -3x^2 +3)

Kruka [31]

Answer:

-1

Step-by-step explanation:

Assuming problem is: x->2 (x^3 -3x^2 +3)

Since the expression is continuous at x=2,

then the limit can be found just by evaluating the expression at x=2.

2^3-3(2)^2+3

8-3(4)+3

8-12+3

-4+3

-1

4 0

3 years ago

If the area of a park is exactly halfway between 2.4 and 2.5 acres, what is the area of the park? Explain. Please if you know th

grandymaker [24]

"If the area of a park is exactly halfway between 2.4 and 2.5 acres, what is the area of the park" its 2.45 acres.

8 0

3 years ago