The sum of two numbers is 47, and their difference is 15. What is the larger number?

Answers

Answer 1
Answer: Let the two numbers be x and y.

x + y =  47
+
x - y =  15
__________
2x  + 0y = 62                        Adding both equations.
___________


2x = 62
x = 62/2
x = 31.             

x is definitely the larger of the two numbers because x - y = 15

The larger number is 31.
Answer 2
Answer: I think the answer is 32 because 47-15=32

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Solve the equation 3x+6y=18 for x

2[s+3(s-31)]=18
how would i solve this

Answers

1. 2[s+3(s-31)]=18
2. [s+3(s-31)] = 9
3. s+ 3s - 93 = 9
4. 4s = 9+93
5. 4s = 102
6. s= 25.5

1. Raymond is repairing wires on a radio broadcast tower. He is in a basket of the repair truck40m from the tower. When he looks up, he estimates the angle of elevation to the top of the
tower as 42°. When he looks down, he estimates the angle of
depression to the bottom of the tower as 32°. How high is the tower
to the nearest tenth of a metre?

Answers

The required height of the tower is given as 61 meters.

What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.

What are Pythagorean triplets?  

In a right angled triangle, its side, such as hypotenuse, perpendicular and base  is Pythagorean triplets.

here,
To determine the height of the tower,
h = 40 tan 32° + 40 tan 42°
h = 61 m

Thus, the required height of the tower is given as 61 meters.

Learn more about trigonometry equations here:

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Answer:

Step-by-step explanation:

h = 40 tan 32° + 40 tan 42° ≈ 61.0 m

If abx - 5 = 0, what is x in terms of a and b?

Answers

Here we want to have x on one side of equation so,
we put number 5 on right side of equation:
abx=5
then we divide both sides by ab to obtain x on left side:
Result:
x=(5)/(ab)
abx - 5 = 0

abx - 5 +5= 0+5

abx=5

(abx)/(ab) = (5)/(ab)

x= (5)/(ab)

Identify the terms and like terms in the expressionQ + 4 + 2t - 9+ +
Which statements are true? Check all that apply
The expression contains seven terms.
The terms in the expression are a?, 4,21, 9, and .
The constants, 4 and 9, are like terms.
Like terms have the same variables to the same
powers
9, 21, and I are variables, so they are like terms.
2t and t are like terms.

Answers

Answer:

The answer is 2,3,4,6

Step-by-step explanation:

Here is proof! Hope you pass<33

Answer:

2nd option is correct as it has represented all the terms of the expression.

The tub of a washer goes into its spin cycle, starting from rest and gainiing angular speed steadily for 8.0 s when it is turning at 5.0 rev/s. At this time the person doing the laundry opens the lid and a safety switch turns off the washer. The tub smoothly slows to rest in 12.0 s. Through how many revolutions does the tub turn whil it is in motion.

Answers

Angular acceleration is change of angular velocity over time:
α = 5 / 8 = 0.625 rev / s²
Number of revolutions of the 1st part:
α · t² /2 = 0.625 * 8² / 2 = 20 rev.
The 2nd part:
α = 5/12 = 0.41667 rev/s²
5 * 12 - ( 0.41667 * 12² / 2 ) = 60 - 30 = 30 rev.
In total: 20 + 30 = 50 revolutions 

Cory’s average score after 8 tests is 91%. If he gets a 78% on his 9th test what will his new average be?

Answers

8*91+78/9 would be an 89.55555 or just 89.56% if you have to round it would be 90%