A)What is the greatest common factor (GCF) for 18 and 66?
Show your work.​

Answer:

Option B (-3,-8)

Step-by-step explanation:

Use a graphing tool to graph the lines [tex]-4x+3y=-12[/tex] and [tex]-2x+3y=-18[/tex].

When graphed, the lines pass at the point (-3, -8).

Graph B matches this, so Option B is the answer.

Answer:

Dimensions of section B = 36 inches, 48 inches

Area of the piece of sheet metal after both sections are cut and removed  = 6336 square inches

Step-by-step explanation:

Given: Width and length of a rectangular piece of sheet metal are 60 inches and 44 inches.

To find: dimensions of section B, the area of the piece of sheet metal after both sections are cut and removed

Solution:

Length of rectangle B = TR = SR - ST = PQ - ST (As SR = PQ being opposite sides of rectangle)

Length of rectangle B = PQ - ST = 60  - 24 = 36 inches

Breadth of rectangle B = UR = QR - QV - VT - TU

Here, QR = PS = 144 inches (opposite sides of rectangle PQRS are equal )

QV = 36 inches

VT = WX = 24 inches ( opposite sides of rectangle WVTX are equal)

TU = 36 inches

So,

Breadth of rectangle B = 144 - 36 - 24 - 36 = 48 inches

Area of rectangle B = length × breadth = 36 × 48 = 1728 square inches

Area of rectangle WVTX = length × breadth = 24 × 24 = 576 square inches

Area of rectangle PQRS = PQ × PS = 60 × 144 = 8640 square inches

Area of the piece of sheet metal after both sections are cut and removed =8640 - ( 1728 + 576 ) = 8640 - 2304 = 6336 square inches

Answer:Bottle B

Step-by-step explanation:

Given

Bottle A has 175 fluid ounce and cost [tex]\$19.25[/tex]

So it cost [tex]\frac{175}{19.25}=9.09\ \text{ounce per}\ \$[/tex]

Bottle B has 138 fluid ounce and cost [tex]\$8.97[/tex]

So it cost [tex]\frac{138}{8.97}=15.38\ \text{ounce per}\ \$[/tex]

Bottle C has 100 fluid ounce and cost [tex]\$8.0[/tex]

So it cost [tex]\frac{100}{8}=12.5\ \text{ounce per}\ \$[/tex]

Bottle D has 72 fluid ounce and cost [tex]\$7.56[/tex]

So it cost [tex]\frac{72}{7.56}=9.52\ \text{ounce per}\ \$[/tex]

So, Bottle B delivers more ounces at same price

Answer:

True, 3 tenths is closer to one whole

Step-by-step explanation:

                              ↓                                                                 ↓

Answer:

c. 7776

Step-by-step explanation:

1, 6, 36, 216, 1296, 7776

Therefore, c. 7776

I hope this helped and have a good rest of your day!

Answer:

244 degrees

Step-by-step explanation:

Since one angle APE is 90 degrees, that means line segments AD and BE are perpendicular bisectors.

Since both segments go through the center, that means all the angles are central angles.

Since angle APE is 90 degrees, that also means that angle EPD is 90 degrees.

33k -9 = 90

33k = 99

k = 3

Since we know k we can substitute it to find angle CPD.

20 k + 4 = 20*3 + 4= 60+4= 64 degrees.

Central angles equal angles of arcs, so we can and angles APE, EPD, and DPC to find the measure of major arc CAD.

64+ 90 +90 = 244 degrees

Answer:

x = 4 ±√26

Step-by-step explanation:

Please write this as x^2 - 8x = 10, or x^2 - 8x - 10 = 0.  " ^ " indicates exponentiation.

Let's complete the square:

x^2 - 8 x can be rewritten as

x^2 - 8x + 16 - 16, and so

x^2 - 8x = 10 becomes x^2 - 8x + 16 - 16 - 10 = 0, or

                                         (x - 4)^2 = 26

Taking the square root of both sides, we get:

x - 4 = ±√26, or

x = 4 ±√26

Answer:

268+v2)3+p=8     =p=−3v2−796

Step-by-step explanation:

Let's solve for p.

(268+v2)(3)+p=8

Step 1: Add -804 to both sides.

3v2+p+804+−804=8+−804

3v2+p=−796

Step 2: Add -3v^2 to both sides.

3v2+p+−3v2=−796+−3v2

p=−3v2−796

Hope this helps.

Answer:

zero

Step-by-step explanation:

for example,

2 x 0 = 0

124 x 0 = 0

its some number zero times so when you multiply by zero, its zero

Answer:

12

Step-by-step explanation:

12 times 12 is 144

Hope this helps

Answer:

28

Step-by-step explanation:

sry if I'm wrong although I used calculator

Answer:

£11.85

Step-by-step explanation:

In the question, we are told that:

In 2016 she earned a monthly salary of £2,100

In 2017 she had a 3% raise

This means 3% of £2,100

3/100×£2,100 = £63

This means her salary for 2017 =

£63 + £2,100 =£2,163

Step 2

We are told in the question that she worked 42 hours per week for 45 weeks in 2017

Since her monthly pay for 2017 = £2,163

She worked 42 hours per week

There are 7 days in one week

The number of hours she worked per day = 42 hours ÷ 7 = 6 hours per day

4.345 weeks= 1 month

The number of hours she worked per month = 42 hours × 4.345 weeks

= 182.49 hours.

We can say that for 182.49 hours she was paid = £2,163

Her average pay per hour is calculated as:

If 182.49 hours = £2,163

1 hour = represented by Y

Cross multiply

182.49Y = £2,163

Y = £2,163 ÷ 182.49

Y = £11.852704258

Approximately = £11.85

Therefore, Elise Average pay per hour for the year = £11.85

Answer:

poopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopoop  

Step-by-step explanation:

Answer:

x = 24

Step-by-step explanation:

Since all the angles share a common vertex 'U' lying on a straight line QT.

Therefore, sum of all angles formed at U will be equal to 180°.

m∠RUQ + m∠RUS + m∠SUT = 180°

(2x - 4) + (3x + 5) + (2x + 11) = 180°

(2x + 3x + 2x) + (5 - 4 + 11) = 180

7x + 12 = 180

7x = 180 - 12

x = [tex]\frac{168}{7}[/tex]

x = 24

Therefore, value of x = 24

Answer:

0

Step-by-step explanation:

if I'm correct it's 0 because when you do all of the math that's what it came out to

Answer:

With the information provided in picture, you can use the property of tangent line of circle to prove that two right triangle ACO and ABO are congruent (AO shared, ACO = ABO = 90 deg, OC = OB = radius of circle O).

Then AB = AC = 4

=> Hope this helps!

:)

Answer:

A

Step-by-step explanation:

Answer:

C = .9423

Step-by-step explanation:

i took the test and got it right.

Answer:

320$

Step-by-step explanation:

Answer:

Step-by-step explanation:

80 divided by 4 should be 20? sorry if i am wrong

1/6 and you got the comment why

Answer:

1/6

Step-by-step explanation:

Out of these four card choices, for the first pick there are two even cards and four cards in total. This means that on the first pick there is a 2/4=1/2 chance that you pick an even card. On the second pick, if you do not replace the card, then there is 1 even card remaining, and 3 cards in total, leaving a probability of 1/3. Multiplying these two probabilities together, you get an overall chance of 1/6. Hope this helps!

Answer:

Line N is a vertical line with an undefined slope

Step-by-step explanation:

To find slope we do (y2-y1)/(x2-x1)

So we do that with (-1,4) and (-1,-4)

(-4-4)/(-1-(-1))

-8/0

Since the denominator is 0, that means the slope is undefined because you cannot divide by 0

Answer:

(C)108 square feet

Step-by-step explanation:

A net of triangular prism consists of two triangular and three rectangular faces.

The net attached is that of a right triangular prism.

Area of One Triangular Face =0.5 X  3 X 4=6 square feet

The rectangular faces are of dimension 4 ft by 8 ft, 5ft by 8ft and 3ft by 8 ft respectively.

Therefore:

Surface Area of the net =2(6)+(4X8)+(5X8)+(3X8)

=12+32+40+24

=108 square feet

The correct answer is C.

Answer:

108

this is correct, trust me

Answer:

Maureen earned $123.19 doing odd jobs

Step-by-step explanation:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

In this question:

Compounded quarterly means that [tex]n = 4[/tex]

10 years, so [tex]t = 10[/tex]

9% interest, so [tex]r = 0.09[/tex]

There is $300.00 in the account, which means that [tex]A = 300[/tex]

How much did Maureen earn doing odd jobs?

This is P.

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]300 = P(1 + \frac{0.09}{4})^{4*10}[/tex]

[tex](1.0225)^{40}P = 300[/tex]

[tex]P = \frac{300}{(1.0225)^{40}}[/tex]

[tex]P = 123.19[/tex]

Maureen earned $123.19 doing odd jobs

Answer: She sold 5 shirts

Step-by-step explanation: 100 + 12x6 + 5t + 7x4 + 5x5 - 8x5

you get 100 + 72 + 28 + 25 - 45 + 5t

You add all that and subtract but not the 5t and you get 180 then you can do 205-180 and get 25 then you you find what times 5 equals 25 and then you get 5 t shirts sold

Answer:

Diagram B

Step-by-step explanation:

Answer:

x = 180 -117

x = 63°

y = 90 - 63

y = 27°

Step-by-step explanation:

Answer:

5.88 pints

Step-by-step explanation:

Well the amount of white paint is 3 / 5 of 9.8

0.6 * 9.8 = 5.88

Answer: 14.7 pints of white paint

IF two different colors were used.

IF she mixed paint to get a light blue, 3/5 of the total would be about 5.9 pints.

Step-by-step explanation:

If 9.8 is 2/5 of the total amount used, set up the equation as 9.8= 2x/5

You get the total amount of paint used is 24.5 pints. Subtract the 9.8 of blue to find the amount of white. That's 14.7 pints.

In practical, real life, a quart of paint covers about 100 square feet. That's an average 8 ft high by 12 ft wide wall.

So that is why I edited this answer. 24 pints is 3 gallons-- that is enough for 3 bedrooms.

And I wish that Math teachers used more common measurements of paint!

Answer:

318 mm2

Step-by-step explanation:

Please see the step-by-step solution in the picture attached below.

Hope this answer can help you. Have a nice day!

Answer:

[tex]318mm^{2}[/tex]

You can break the shape into pieces you can work with, and then add up the areas individually.

Answer:

-3

Step-by-step explanation:

[tex]f(x) = 2x - 9[/tex]

[tex]f(3) = 2(3) - 9\\f(3) = 6 - 9\\f(3) = -3[/tex]

Answer:

See Explanation

Step-by-step explanation:

Let our quadratic polynomial function [tex]f(x)=x^2-7x+6[/tex]

Let our linear binomial in the form (x − a)=x-1

Part 1: We use long division to divide the polynomial by the binomial.

[tex]\left|\begin{array}{c|c}&x-6\\-----&-----\\x-1&x^2-7x+6\\Subtract&-(x^2-x)\\&------\\&-6x+6\\Subtract&-6x+6\\&------\\&0\end{array}\right|[/tex]

Therefore:[tex]\dfrac{x^2-7x+6}{x-1}=x-6[/tex]

Part 2: In our chosen linear monomial x-1, a=1

[tex]f(a)=f(1)\\f(1)=1^2-7(1)+6=1-7+6=0\\f(a)=0[/tex]

Part 3:

To determine whether a linear binomial is a factor of a polynomial function using the remainder theorem