3x + 5 + 5x – 2
Combine the like terms

Answers

Answer 1

Answer: 8x+5-2 is the answer

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Give one example of when you would use the friendly numbers strategy to subtract.

Answers

I would say: when we want to substract numbers that are close to each other, but when the respective digits of the number from which the second number is subtracted are lower than in the other number.

For example, when we want to substract 18 from 21. Those two numbers are very close, but if you did it digit by digit, your would run into a problem.

So instead you can collect their differences to the friendly number 20: 21 is one number away from 20, and 18 two numbers, which makes a total of 3 numbers: and 3 is the solution!

For this case, we use the strategy of friendly numbers when subtraction is something complex to do mentally.

Let's suppose that we have the following subtraction:

$117 - 83$

Using friendly numbers we have:

$(100 + 17) - (80 + 3)$

Then, applying the associative property we have:

$(100 - 80) + (17 - 3)$

Doing the calculations we have:

$20 + 14 = 34$

Finally we have:

$117 - 83 = 34$

Ami purchases 27 T-shirts for a certain amount of money. Using m for the total amount of money in dollars that Ami spent on T-shirts, write an expression that represents how much one T-shirt costs

Answers

so total money=m
cost=total money
cost=number of tshirts times cost per tshirt
subsitute
m=27 times cost per shirt
to solve for cost per 1 shirt, divide both sides by 27
$(m)/(27)$ =cost per 1 shirt

answer is 1 t-shirt costs $(m)/(27)$

m = the total amount of money spent
y = how much each t-shirt costs
m / 27 = y
because:
y x 27 = m
so the equation is:
>m/27 = y

a rectangular plot of land is 100 feet long and 50 feet wide how long is the walkway along the diagonal? round to the nearest foot.

Answers

The length of the walkway along the diagonals is 112 feet.

What is Pythagoras Theorem?

Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.

Given that,

a rectangular plot of land is 100 feet long and 50 feet wide.

Length = 100 feet

Width = 50 feet

Length along the diagonal can be found using the Pythagoras Theorem.

Length and width of the rectangle can be taken as the legs and diagonal is taken as the hypotenuse.

Length of the diagonal = √(100² + 50²) = √12500 = 111.8 ≈ 112 feet

Hence the length of the walkway is 112 feet.

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Length - 100feet
Width - 50 feet
Acc to Pythagoras theorem
Diagonal = sqrt( Length^2 + Width^2)
= sqrt( 100^2 + 50^2)
= sqrt (10000 + 2500)
= sqrt(12500)
= 111.8

So diagonal is around 112 feet long.

Find all solutions to the equation.

sin x = sqrt(3)/2

Answers

Answer:

$x=(\pi)/(3) and x=(2\pi)/(3)$

Step-by-step explanation:

We are given that $sin x=(\sqrt3)/(2)$

We have to find all solutions of the given equation

We know that $sin (\pi)/(3) =sin60^(\circ)=(\sqrt3)/(2)$

sin x is positive then the value of sin x will lie in I quadrant and II quadrant.The value of sin x is negative in III and IV quadrant .

We are given that sin x is positive then the solution will lie in I and II quadrant only.Therefore, the solution of sin x will not lie in III and IV quadrant .

$sin x =sin (\pi)/(3)$ ...(I equation )and $sin x =sin(\pi-(\pi)/(3))$ ...(II equation)

In II quadrant $\theta$ change into $(\pi-\theta )$

Cancel sin on both side of equation I

Then, we get

$x=(\pi)/(3)$

$sin x =sin ((3\pi-\pi)/(3))$

$sin x =sin (2\pi)/(3)$ ...(II equation )

Cancel sin on both side of equation II

Then we get

$x=(2\pi)/(3)$

Hence, the solutions of equation are

$x=(\pi)/(3) and x=(2\pi)/(3)$

The solutions of the equation are:

x = 60 degrees

x = 120 degrees

x = 420 degrees

x = 480 degrees, and so on.

We have,

The solutions to the equation sin(x) = √3/2 are any angles where the sine of the angle is equal to √3/2.

So,

sin 60 = √3/2

sin 120 = sin (π - 60) = sin 60 = √3/2

In trigonometry 180 is written as π.

Since (π - 60) is in the secondquadrant sin 60 is positive.

sin 420 = sin (360 + 60) = sin 60 = √3/2

In trigonometry 360 is written as 2π.

Since (2π + 60) is in the Firstquadrant sin 60 is positive.

Similarly,

sin 480 = sin (2π + 120) = sin 120 = sin (π - 60) = sin 60 = √3/2

Thus,

The solutions of the equation are:

x = 60 degrees

x = 120 degrees

x = 420 degrees

x = 480 degrees, and so on.

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Help me with this promblem THXXXX

Answers

Answer: Choice C)

Function 1 = negative y intercept

Function 2 = positive y intercept

====================================================

Explanation:

A. This is false because function 2 has a positive y intercept. Each time x goes up, y goes down. Reverse this and decreasing x leads to increasing y.

B. False. Function 1 has a negative y intercept. The y intercept occurs where the diagonal line crosses the y axis.

C. True. The graph shows a negative y intercept. The y intercept of function 2 is (0,2).

D. False. This contradicts choice C.

Percy paid $24.10 for a basketball. The price of the basketball was $22.99. What was the sales tax rate?

Answers

First, determine the difference between the amount Percy paid and the price of the basketball. That is, $24.10 - $22.99 = $1.11. Divide this value by the price of the basketball and multiply the quotient by 100% to get the tax rate.
($1.11 / $22.99) x 100% = 4.8%
Thus, the sales tax is approximately equal to 4.8%.

Answer:

4.80%

Step-by-step explanation:

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