# I've got a couple more questions in my pretest i don't understand any of it

QUESTION POSTED AT 03/12/2019 - 12:35 PM

QUESTION POSTED AT 03/12/2019 - 12:35 PM

-- PQS is a right triangle, because a tangent to a circle is

perpendicular to the radius at the point of tangency.

-- You know PQ (a leg) and PS (the hypotenuse) so you can

find the length of the other leg.

QS = (PQ)² - (PS)² = (4.2)² - (8.2)² =

-- If you draw the radius PR, then you have another right triangle

back to back with the first one. Each hypotenuse is a radius, so

those are equal, and PQ is common to both triangles.

So RQ is equal to QS.

-- The length of the whole chord RS is double the length of QS .

RS = 2 x (QS) = 2 x (7.043) =

That looks a lot like the third choice down.

What you need to do is that you plug p=3 into the expression [(5.4p+5)+(8+3.2p)]/2 and you have:

[(5.4*3+5)+(8+3.2*3)]/2

= (21.2+ 17.6)/2

= 38.8/2

= 19.4

**The average of the two boys' points is p=3 is 19.4 points**~

[(5.4*3+5)+(8+3.2*3)]/2

= (21.2+ 17.6)/2

= 38.8/2

= 19.4

ANSWERED AT 14/12/2019 - 06:13 PM

QUESTION POSTED AT 14/12/2019 - 06:13 PM

Answer=8.6c+13

Meg earns $5.40 per car and $5 in tips. Given the information, Meg's earnings can be shown in the expression '5.40c+5'

Rich earned 3.20 per car and $8 in tips. Given the information, Rich's earnings can be shown with the expression '3.20c+8'

Now lets put the expressions together to see how much they made all together...

5.40c+5+3.20c+8

add 5.40c and 3.20c

8.60c+5+8

add 5 and 8

8.60c+13

or

8.6c+13

Meg earns $5.40 per car and $5 in tips. Given the information, Meg's earnings can be shown in the expression '5.40c+5'

Rich earned 3.20 per car and $8 in tips. Given the information, Rich's earnings can be shown with the expression '3.20c+8'

Now lets put the expressions together to see how much they made all together...

5.40c+5+3.20c+8

add 5.40c and 3.20c

8.60c+5+8

add 5 and 8

8.60c+13

or

8.6c+13

ANSWERED AT 14/12/2019 - 06:12 PM

QUESTION POSTED AT 14/12/2019 - 06:12 PM

You simply subtract from the coordinates of the terminal point to the coordinates of the initial point.

The x-coordinate is represented the unit vector i and the y-coordinate is for unit vector j. So,

vector u = (-2 - 3)i + (1 - 5)j = -5i - 4j

The x-coordinate is represented the unit vector i and the y-coordinate is for unit vector j. So,

vector u = (-2 - 3)i + (1 - 5)j = -5i - 4j

ANSWERED AT 14/12/2019 - 06:10 PM

QUESTION POSTED AT 14/12/2019 - 06:10 PM

Rectangular prism

V = 12*8*4 = 384 in^3

Triangular prism

V = 0.5*3*15*16 = 360 ft^3

V = 12*8*4 = 384 in^3

Triangular prism

V = 0.5*3*15*16 = 360 ft^3

ANSWERED AT 14/12/2019 - 06:05 PM

QUESTION POSTED AT 14/12/2019 - 06:05 PM

Use the formula of arc length that is

s = rθ

where s = arc length, r = radius, θ = angle (unit must be in radian)

Given r = 5 in and θ = 48°( π /180°) = (4/15)* π = 0.2667 π,

s = 5 in (0.2667π) = 1.333 π in

s = rθ

where s = arc length, r = radius, θ = angle (unit must be in radian)

Given r = 5 in and θ = 48°( π /180°) = (4/15)* π = 0.2667 π,

s = 5 in (0.2667π) = 1.333 π in

ANSWERED AT 14/12/2019 - 05:50 PM

QUESTION POSTED AT 14/12/2019 - 05:50 PM

You required to find the value of d.

Always remember the concept that if you transpose "+" sign to the other side, it becomes "-" sign, and vice versa. Make sure that you arrange the like terms and constants. Solving the equation,

6d + 1 = 15 - d

6d + d = 15 - 1

7d = 14

d = 14/7 = 2

When transposing a multiplication, you divide it to the other side.

Verifying the solution,

6(2) + 1 = 15 - 2

12 + 1 = 13

13 = 13

Always remember the concept that if you transpose "+" sign to the other side, it becomes "-" sign, and vice versa. Make sure that you arrange the like terms and constants. Solving the equation,

6d + 1 = 15 - d

6d + d = 15 - 1

7d = 14

d = 14/7 = 2

When transposing a multiplication, you divide it to the other side.

Verifying the solution,

6(2) + 1 = 15 - 2

12 + 1 = 13

13 = 13

ANSWERED AT 14/12/2019 - 05:50 PM

QUESTION POSTED AT 14/12/2019 - 05:50 PM

Yes, the correct answer is 12.6 ft.

Using the formula of arc length, that is

s = rθ

where s = arc length, r = radius, θ = angle (unit must be in radian)

With r = 10 ft and θ = 72 deg ( π/180 deg) = 1.26 rad,

s = (10)(1.26) = 12.6 ft

Using the formula of arc length, that is

s = rθ

where s = arc length, r = radius, θ = angle (unit must be in radian)

With r = 10 ft and θ = 72 deg ( π/180 deg) = 1.26 rad,

s = (10)(1.26) = 12.6 ft

ANSWERED AT 14/12/2019 - 05:50 PM

QUESTION POSTED AT 14/12/2019 - 05:50 PM

Answer:

Step-by-step explanation:

51 cups

ANSWERED AT 14/12/2019 - 05:46 PM

QUESTION POSTED AT 14/12/2019 - 05:46 PM

Amount of money paid by Jeremy as rent and maintenance of shop per month = $1500

Cost of raw materials and manufacturing per month = $6000

Total cost that Jeremy has to spend per month = (1500 + 6000) dollars

= 7500 dollars

Number of individual chocolates sold = 2400

Number of chocolates sold in boxes = 50 boxes

= (12 * 50) chocolates

= 600 chocolates

Then

Total number of chocolates sold by Jeremy = 2400 + 600

= 3000

Now

Price of each chocolate = 7500/3000 dollars

= 75/30 dollars

= 5/2 dollars

= 2.5 dollars

Price of 600 chocolates = 600 * (5/2) dollars

= 300 * 5 dollars

= 1500 dollars

Price of 12 chocolates = (1500/600) * 12

= 15 * 2

= 30 dollars

Then

We can say that each box of chocolate should be sold at $30. All the loose chocolates should be sold at $2.5 each.

Cost of raw materials and manufacturing per month = $6000

Total cost that Jeremy has to spend per month = (1500 + 6000) dollars

= 7500 dollars

Number of individual chocolates sold = 2400

Number of chocolates sold in boxes = 50 boxes

= (12 * 50) chocolates

= 600 chocolates

Then

Total number of chocolates sold by Jeremy = 2400 + 600

= 3000

Now

Price of each chocolate = 7500/3000 dollars

= 75/30 dollars

= 5/2 dollars

= 2.5 dollars

Price of 600 chocolates = 600 * (5/2) dollars

= 300 * 5 dollars

= 1500 dollars

Price of 12 chocolates = (1500/600) * 12

= 15 * 2

= 30 dollars

Then

We can say that each box of chocolate should be sold at $30. All the loose chocolates should be sold at $2.5 each.

ANSWERED AT 14/12/2019 - 05:42 PM

QUESTION POSTED AT 14/12/2019 - 05:42 PM

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----

----

----

----

Hope this is what you need - considering I'm not the greatest at trinomials, but I have some characteristics of it.

ANSWERED AT 14/12/2019 - 05:42 PM

QUESTION POSTED AT 14/12/2019 - 05:42 PM

Because 2 is positive and -13 is negative, and positive numbers are always greater than negative numbers, **2 is greater than -13**~

ANSWERED AT 14/12/2019 - 05:36 PM

QUESTION POSTED AT 14/12/2019 - 05:36 PM

Well i would think it is negative since the ball is falling and the height is decreasing.

But i am not quite sure what your asking though .

I hope this helped you

But i am not quite sure what your asking though .

I hope this helped you

ANSWERED AT 14/12/2019 - 05:28 PM

QUESTION POSTED AT 14/12/2019 - 05:28 PM

The way you write 10x10x10x10 using exponents. The way you use exponents is by counting the numbers of 10 there are since there is four you have to put 10 with a little number four on the top next to the number. Just in case that way you say it is 10 to the fourth power

ANSWERED AT 14/12/2019 - 05:21 PM

QUESTION POSTED AT 14/12/2019 - 05:21 PM

There are several ways to solve this. I would use substitution. to do that you want to get the X in the bottom equation by itself. after that substitute that new equation for the x in 2x. so it would look like 2(new equation). solve that then you will find y. do the exact same thing to y to find x. if you're still confused, ask me.

ANSWERED AT 14/12/2019 - 05:04 PM

QUESTION POSTED AT 14/12/2019 - 05:04 PM

Y=x2 the extreme would be x=0

ANSWERED AT 14/12/2019 - 04:43 PM

QUESTION POSTED AT 14/12/2019 - 04:43 PM

Cost of CD = x

Cost of DVD = 2x

2 DVDs and 2 CDs for $45.

2(2x) + 2x = 45

4x + 2x = 45

6x = 45

6x/6 = 45/6

**x = 7.50 * cost of CD**

**Cost of DVD = 2x = 2 * 7.50 = $15**

To check:

2(2x) + 2x = 45

2(2(7.5)) + 2(7.50) = 45

2(15) + 15 = 45

30 + 15 = 45

45 = 45

Cost of DVD = 2x

2 DVDs and 2 CDs for $45.

2(2x) + 2x = 45

4x + 2x = 45

6x = 45

6x/6 = 45/6

To check:

2(2x) + 2x = 45

2(2(7.5)) + 2(7.50) = 45

2(15) + 15 = 45

30 + 15 = 45

45 = 45

ANSWERED AT 14/12/2019 - 02:52 PM

QUESTION POSTED AT 14/12/2019 - 02:52 PM

I think the first two are false and the second two are true

ANSWERED AT 14/12/2019 - 02:40 PM

QUESTION POSTED AT 14/12/2019 - 02:40 PM

ANSWERED AT 14/12/2019 - 02:38 PM

QUESTION POSTED AT 14/12/2019 - 02:38 PM

Lets look at what we know so far:

♥ Sale Price: 20%

♥ Original Price: $175.00

♥ Off Price: $140.00

Gather the information and solve:

20% off of $175

= $140

=$175

**Final answer: $175 **

♥ Sale Price: 20%

♥ Original Price: $175.00

♥ Off Price: $140.00

Gather the information and solve:

20% off of $175

= $140

=$175

ANSWERED AT 14/12/2019 - 01:50 PM

QUESTION POSTED AT 14/12/2019 - 01:50 PM

(2cos(x) + 3sin(x))² + (3cos(x) - 2sin(x))² = 13

(2cos(x) + 3sin(x))(2cos(x) + 3sin(x)) + (3cos(x) - 2sin(x))(3cos(x) - 2sin(x)) = 13

(2cos(x)(2cos(x) + 3sin(x)) + 3sin(x)(2cos(x) + 3sin(x))) + (3sin(x)(3cos(x) - 2sin(x)) - 2sin(x)(3cos(x) - 2sin(x))) = 13

(2cos(x)(2cos(x)) + 2cos(x)(3sin(x)) + 3sin(x)(2cos(x)) + 3sin(x)(3sin(x))) + (3cos(x)(3cos(x)) - 3cos(x)(2sin(x)) - 2sin(x)(3cos(x)) + 2sin(x)(2sin(x))) = 13

(4cos²(x) + 3sin(2x) + 3sin(2x) + 9sin²(x)) + (9cos²(x) - 3sin(2x) - 3sin(2x) + 4sin²(x)) = 13

(4cos²(x) + 6sin(2x) + 9sin²(x)) + (9cos²(x) - 6sin(2x) + 4sin²(x)) = 13

(4cos²(x) + 9cos²(x)) + (6sin(2x) - 6sin(2x)) + (9sin²(x) + 4sin²(x)) = 13

13cos²(x) + 13sin²(x) = 13

13(¹/₂(1 + cos(2x))) + 13(¹/₂(1 - cos(2x))) = 13

13(¹/₂(1)) + 13(¹/₂(cos(2x))) + 13(¹/₂(1)) - 13(¹/₂(cos(2x))) = 13

13(¹/₂) + 13(¹/₂cos(2x)) + 13(¹/₂) - 13(¹/₂cos(2x)) = 13

6¹/₂ + 6¹/₂cos(2x) + 6¹/₂ - 6¹/₂cos(2x) = 13

6¹/₂ + 6¹/₂ + 6¹/₂cos(2x) - 6¹/₂cos(2x) = 13

13 + 0 = 13

13 = 13

The following equation is an identity.

(2cos(x) + 3sin(x))(2cos(x) + 3sin(x)) + (3cos(x) - 2sin(x))(3cos(x) - 2sin(x)) = 13

(2cos(x)(2cos(x) + 3sin(x)) + 3sin(x)(2cos(x) + 3sin(x))) + (3sin(x)(3cos(x) - 2sin(x)) - 2sin(x)(3cos(x) - 2sin(x))) = 13

(2cos(x)(2cos(x)) + 2cos(x)(3sin(x)) + 3sin(x)(2cos(x)) + 3sin(x)(3sin(x))) + (3cos(x)(3cos(x)) - 3cos(x)(2sin(x)) - 2sin(x)(3cos(x)) + 2sin(x)(2sin(x))) = 13

(4cos²(x) + 3sin(2x) + 3sin(2x) + 9sin²(x)) + (9cos²(x) - 3sin(2x) - 3sin(2x) + 4sin²(x)) = 13

(4cos²(x) + 6sin(2x) + 9sin²(x)) + (9cos²(x) - 6sin(2x) + 4sin²(x)) = 13

(4cos²(x) + 9cos²(x)) + (6sin(2x) - 6sin(2x)) + (9sin²(x) + 4sin²(x)) = 13

13cos²(x) + 13sin²(x) = 13

13(¹/₂(1 + cos(2x))) + 13(¹/₂(1 - cos(2x))) = 13

13(¹/₂(1)) + 13(¹/₂(cos(2x))) + 13(¹/₂(1)) - 13(¹/₂(cos(2x))) = 13

13(¹/₂) + 13(¹/₂cos(2x)) + 13(¹/₂) - 13(¹/₂cos(2x)) = 13

6¹/₂ + 6¹/₂cos(2x) + 6¹/₂ - 6¹/₂cos(2x) = 13

6¹/₂ + 6¹/₂ + 6¹/₂cos(2x) - 6¹/₂cos(2x) = 13

13 + 0 = 13

13 = 13

The following equation is an identity.

ANSWERED AT 14/12/2019 - 01:43 PM

QUESTION POSTED AT 14/12/2019 - 01:43 PM

To find the scientific notation, we need to move the decimal until we get a number between 1 and 10.

560,000 ---> 5.6

5.6

Now, we need to count how many times we moved the decimal.

We moved it 5 places to the left.

5.6 * 10^5

**Final answer: 5.6 * 10^5**

560,000 ---> 5.6

5.6

Now, we need to count how many times we moved the decimal.

We moved it 5 places to the left.

5.6 * 10^5

ANSWERED AT 14/12/2019 - 01:24 PM

QUESTION POSTED AT 14/12/2019 - 01:24 PM

One approach that might be a great help would be if you would look

at the choices ... those things at the bottom of the question that you

didn't give us.

-- One leg is 3 times the length of the other leg.

-- Any right triangle that has one leg three times as long as the other

leg is similar to this triangle.

I'll bet that if you look through the choices, you'll find one there.

ANSWERED AT 14/12/2019 - 01:03 PM

QUESTION POSTED AT 14/12/2019 - 01:03 PM

Answer=$33,000

Assuming you are looking for the annual salary...

A base salary is the fixed amount of money paid the the employer, not counting bonuses or benefits.

Along with earning a base salary, this personals earned an extra $500 per month. There are 12 months in a year.

The following equation can be written:

T=$27,000+12*$500

T=$27,000+6,000

T=$33,000

Assuming you are looking for the annual salary...

A base salary is the fixed amount of money paid the the employer, not counting bonuses or benefits.

Along with earning a base salary, this personals earned an extra $500 per month. There are 12 months in a year.

The following equation can be written:

T=$27,000+12*$500

T=$27,000+6,000

T=$33,000

ANSWERED AT 14/12/2019 - 12:57 PM

QUESTION POSTED AT 14/12/2019 - 12:57 PM

{(94*3)+ (86 /2)- (3)}=
282+86/2 −3=
=282+43 −3
=325−3
=322
Answer is 322

ANSWERED AT 14/12/2019 - 12:51 PM

QUESTION POSTED AT 14/12/2019 - 12:51 PM

Both Jack and Diana will end up getting the right answer because adding seven thirteen times is the same as adding thirteen seven times. 7x13 is 91 and 13x7 is 91 too. They just switched the numbers but they kept the operations the same which is called commutative property. You are doing multiplying so it is called commutative property of multiplication.

Hope that helped:)

Hope that helped:)

ANSWERED AT 14/12/2019 - 12:33 PM

QUESTION POSTED AT 14/12/2019 - 12:33 PM

that would be four hours.

12x3=36

1 hour 20 minutes x3= 4 hours

12x3=36

1 hour 20 minutes x3= 4 hours

ANSWERED AT 14/12/2019 - 12:11 PM

QUESTION POSTED AT 14/12/2019 - 12:11 PM

Hey :)

Number 7:

-->Let's find the least common multiple of 4, 10, and 12 by listing again:

4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40... 60

10: 10, 20, 30, 40, 50, 60

12: 12, 24, 36, 48, 60

-->As you can see, the LCM is d or 60

* Just a random thought but did you accidently write 7 for the other one?

Number 8:

-->By factoring the expression, you would be finding a factor that both numbers share (usually the GCF) and divide the whole expression by that number:

"What is the GCF of 54 and 24?"

"6!"

--> So now that you know the GCF or just factor, you can divide the expression by it:

54a+24b

54a(/6)+24b(/6)

9a+4b

--> Sorry if this gets confusing but now you put the end result in parentheses with what you divided it by on the outside

6(9a+4b)

-->Or in other words, answer choice 'c'!

Number 9:

-->Sorry but I can't answer it yet because you didn't say what his recipt is. I can help you once you tell me what's on the receipt :)

Number 7:

-->Let's find the least common multiple of 4, 10, and 12 by listing again:

4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40... 60

10: 10, 20, 30, 40, 50, 60

12: 12, 24, 36, 48, 60

-->As you can see, the LCM is d or 60

* Just a random thought but did you accidently write 7 for the other one?

Number 8:

-->By factoring the expression, you would be finding a factor that both numbers share (usually the GCF) and divide the whole expression by that number:

"What is the GCF of 54 and 24?"

"6!"

--> So now that you know the GCF or just factor, you can divide the expression by it:

54a+24b

54a(/6)+24b(/6)

9a+4b

--> Sorry if this gets confusing but now you put the end result in parentheses with what you divided it by on the outside

6(9a+4b)

-->Or in other words, answer choice 'c'!

Number 9:

-->Sorry but I can't answer it yet because you didn't say what his recipt is. I can help you once you tell me what's on the receipt :)

ANSWERED AT 14/12/2019 - 11:52 AM

QUESTION POSTED AT 14/12/2019 - 11:52 AM

Kayla wrote an equation.

William wrote an inequality.

They both have solutions.

Kayla's solution is x=4 .

William's solution is x > -2.5 .

Brandon and Alice wrote expressions.

Those are just numbers, that depend on the value of 'x'.

ANSWERED AT 14/12/2019 - 10:55 AM

QUESTION POSTED AT 14/12/2019 - 10:55 AM

1). Her walking pace is (1.75 miles) / (50 minutes).

If you want it in units of (miles per hour), do it like this:

(1.75 miles / 50 minutes) x (60 minutes / 1 hour)

= ( 1.75 x 60 / 50 ) miles per hour.

2). The average change was

(30 - 45) degrees / (5 minutes) .

I'm sure you can do the division and make an integer out of that.

3). Each bracelet cost $3.10.

Caroline bought five of them, so she spent $3.10 five times.

Either do the multiplication, or else write down $3.10 five times

and do the addition.

4). In order to factor the expression, the two terms would need

to have some common factor ... both terms need either a power

of 'x', or they need two numbers that have a common factor.

They don't both have an 'x', and 13 and 10 have no common factor.

5). Todd earned 'T' dollars.

Twice what Todd earned is 2T .

$350 more than that is 2T+350 .

The question says that 2,500 is exactly that amount,

so you can write

Subtract 350 from each side: 2T = 2,150

Divide each side by 2: (you can finish it now)

ANSWERED AT 14/12/2019 - 10:39 AM

QUESTION POSTED AT 14/12/2019 - 10:39 AM

Y = Earnings per week

X = Sales per week

5% = 1/20

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

Y = 500 + 1/20 * X

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

500 + 1/20 * X > 700

1/20 * X > 700 - 500

1/20 * X > 200

20 * 1/20 * X > 200 * 20

X > 4000

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

**Jasmine needs to make over $4,000 in sales each week to meet her target.**

X = Sales per week

5% = 1/20

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

Y = 500 + 1/20 * X

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

500 + 1/20 * X > 700

1/20 * X > 700 - 500

1/20 * X > 200

20 * 1/20 * X > 200 * 20

X > 4000

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

ANSWERED AT 14/12/2019 - 10:11 AM

QUESTION POSTED AT 14/12/2019 - 10:11 AM