Yuet solved the equation 6 a minus 2 b = 12 for a. Her steps are shown below. 1. Subtract 2b: 6 a = 12 minus 12 b 2. Divide by 6: a = 2 minus one-third b

Which statement about Yuet’s work is true?

In step 1 she needed to add 2b to both sides of the equation.
In step 1 she needed to divide by 2b on both sides of the equation.
In step 2 she needed to divide both sides of the equation by 6.
In step 2 she needed to subtract 6 from both sides of the equation.

Answer:

1/2

Step-by-step explanation:

There are 6 sides on the dice. 3 of them are multiples of 2. 3/6=1/2.

Answer:

44 ft^2

Step-by-step explanation:

Find the area of the whole rectangle first, and then subtract the area of the small black rectangle:

(12 ft)(4 ft) - (2 ft)(2 ft) =

  48 ft^2   -    4 ft^2

             44 ft^2 (answer)

Step-by-step explanation:

Putting value of y

2x + x - 5 = 10

3x - 5 = 10

3x = 10 + 5

3x = 15

x = 15/3 = 5

Putting value of x

Y = x - 5

Y = 5 - 5

Y = 0

Option D is the correct answer

Answer:

7161

Step-by-step explanation:

Now we need to find the sum for a series

The formula is

Sn =   (first term)*(1 - r^n)/(1-r)  where n is the number of days and r is the rate

     = 7( 1 -2^10)/ (1-2)

     = 7( -1023)/-1

     = 7161

Answer:

7161

Step-by-step explanation:

I took the test :)

Answer:

The next number in the pattern is 13.

Step-by-step explanation:

From 1, i add 3 and i get 4, then i add 3 to 4 and get 7 and then i add 3 to 7 to get 10. From here you can quickly observe that you add three to ten to get 13

Answer:

1875 square miles

Step-by-step explanation:

There are a total of 10 women and 3 men. Let's define two variables:

Given that they inherited a 30000 (square miles) of land and that each brother has inherited double what each sister has inherited, we can establish the next equations:

2*w = m

10*w + 3*m = 30000

Replacing the first equation into the second one, and solving for w:

10*w + 3*2*w = 30000

16*w = 30000

w = 30000/16

w = 1875 square miles

Your mom, and all of her sisters, inherited 1875 square miles each

Answer:

10.7332506947

Step-by-step explanation:

hope it helps !!

If I am wrong please let me know

Answer:

swer:

Step-by-step explanation:

Here is the breakdown of the distance traveled each hour.

Hour 1: 40

Hour 2: 50

Hour 4: 70

Hour 6: 50

Hour 8: 120

Hour 10: 40

Seeing this, you can clearly see the most traveled was between the sixth and eighth hour (3).

Hope this helps!

Step-by-step explanation:

Answer:

1595 ft^2

Step-by-step explanation:

The answer is obtained by adding the areas of sectors of several circles.

1. Think of the rope being vertical going up from the corner where it is tied. It goes up along the 10-ft side. Now think of the length of the rope being a radius of a circle, rotate it counterclockwise until it is horizontal and is on top of the bottom 20-ft side. That area is 3/4 of a circle of radius 24.5 ft.

2. With the rope in this position, along the bottom 20-ft side, 4.5 ft of the rope stick out the right side of the barn. That amount if rope allows for a 1/4 circle of 4.5-ft radius on the right side of the barn.

3. With the rope in the position of 1. above, vertical and along the 10-ft left side, 14.5 ft of rope extend past the barn's 10-ft left wall. That extra 14.5 ft of rope are now the radius of a 1/4 circle along the upper 20-ft wall.

The area is the sum of the areas described above in numbers 1., 2., and 3.

total area = area 1 + area 2 + area 3

area of circle = (pi)r^2

total area = 3/4 * (pi)(24.5 ft)^2 + 1/4 * (pi)(4.5 ft)^2 + 1/4 * (pi)(14.5 ft)^2

total area = 1414.31 ft^2 + 15.90 ft^2 + 165.13 ft^2

total area = 1595.34 ft^2

The value of X is 3

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

B. 3

Step-by-step explanation:

→You need to get rid of the (-x + 4) in the denominator, and to do so, you must multiply both sides by it:

[tex]\frac{2x-3}{-x+4} =3[/tex]

2x - 3 = 3(-x + 4)

→Distribute the 3 to (-x + 4):

2x - 3 = -3x + 12

→Add 3x to both sides:

5x - 3 = 12

→Add 3 to both sides:

5x = 15

→Divide both sides by 5:

x = 3

Answer: See below

Step-by-step explanation:

A linear line is a straight line. It can be going up, down, vertical, or horizontal. As long as it's a straight line, then it is a linear equation. Graph 1 and 5 are linear.

A quadratic graph is a parabola. It is in the shape of a "U". The "U" can be doing up or down. It can also be more than a parabola. Any x to th epower of a number is also a quadratic graph. Graph 2 and 4 are quadratic graphs.

An exponential graph is a graph that is a number to the power of x. These graphs are also continuous. They go towards infinity. Graph 3 and 6 are exponential.

Answer:

1/20!

Step-by-step explanation:

This is a probability question.

There are 5 types of pasta and there are 4 types of flavors.

So the probability of getting bow tie is 1/5 and getting cheese sauce is 1/4

To get both, you need to multiply the types of pasta and flavor

1/20

Answer:

A

Step-by-step explanation:

Since there is no 7 on a standard number cube 1-6, there is no chance that the event can occur. Thus, A the correct answer.

Answer:

27/16 chapters completed in 1.5 hours

Step-by-step explanation:

Jeff read 3/8 part in minutes = 20

He read complete chapter in minutes =[tex]\frac{20}{\frac{3}{8}}=\frac{20}{3} \times 8 = \frac{160}{3} minutes[/tex]

60 minutes = 1 hour

[tex]\frac{160}{3} minutes = \frac{160}{3} \times \frac{1}{60}=\frac{8}{9} hours[/tex]

So, No. of chapters completed in[tex]\frac{8}{9}[/tex] hours = 1

No. of chapters completed in 1.5 hours = [tex]\frac{1}{\frac{8}{9}} \times 1.5=\frac{27}{16}[/tex]

So, 27/16 chapters completed in 1.5 hours

Answer:

7044.5 mm (Please don't be angry on me if I'm wrong, I apologize beforehand)

Step-by-step explanation:

if the upper bound varies from the median by 5, I guess that the lower also varies by 5

thus, 365 * 19.3

7044.5 mm

Please don't be angry on me if I'm wrong, I apologize beforehand

Answer:

C

Step-by-step explanation:

Use the pythagorean theorom

a^2 + b^2 = C^2

convert so it goes to the problem

c^2 - a^2 =b^2

10^2 - 5^ = 100 - 25 = 75

srt. 75 = 5 sqrt.3

Answer:

The hypotenuse = leg 1 + leg 2

Hypotenuse = 10

Leg 1 = 5

Leg 2 = ?

10^2 - 5^2 = x

100 - 25 = 75

Answer = sqrt of 75

Answer:

[tex] \frac{3}{\sqrt[5]{y^{3}}} [/tex]

Step-by-step explanation:

The following expression:

[tex] 3y^{-3/5} [/tex]

can be simplified as follows:

First, rewrite the negative exponent,

[tex] 3\frac{1}{y^{3/5}} [/tex]

[tex] \frac{3}{y^{3/5}} [/tex]

And then, rewrite the fraction in the exponent,

[tex] \frac{3}{\sqrt[5]{y^{3}}} [/tex]

Answer:

80°

Step-by-step explanation:

SPO+OPA+APC= 180°

(Angles on a straight line sum up to 180)

60+OPA+40=180

OPA=180-100

=80°

So, BPU is also 80°

(Vertically opposite angles are always equal)

Answer:

80⁰

Step-by-step explanation:

SPU = CPR = 40⁰ ( vertically opposite)

BPU + 40 + 60 = 180⁰ (straight line angle)

BPU = 180 - 100

BPU = 80⁰

Answer:

17

Step-by-step explanation:

Use the Pythogream theorm where c is the hypotenuse.

Answer:

17

Step-by-step explanation:

Using the Pythagory and Theroem

Answer:

1875-(175*3)=1350

1350/(2.5*3)=180

The Band Travelled 180 Miles

Step-by-step explanation:

Take the flat fee and multiply for the 3 buses.

Then (based on the info given) take the cost of the miles per hour and multiply by 3

Take that number and divide 1350 by the cost per miles to determine the miles the band traveled

Answer:the third one shows parallel lines cut by a transversal

Step-by-step explanation:

Answer:

B. m Angle A + 60° + 55° = 180°

Step-by-step explanation:

POGGERS

Answer:

the answer wold be 10.129

Step-by-step explanation:

Perimeter of the parallelogram EFGH is 11.76 units

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.

A parallelogram is a simple quadrilateral with two pairs of parallel sides.

Given,

The coordinates of the parallelogram = E(1,3), F(0,2), G(4,0) and H(5,1)

We know that,

In parallelogram EF=HG and EH=FG

Perimeter of the Parallelogram = 2(a + b)

Distance between EF = a = [tex]\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1}})^{2} }[/tex]

[tex]=\sqrt{(0-1)^{2} +(2-3)^{2} }\\=\sqrt{1+1} \\=\sqrt{2}[/tex]

a =1.41 units

Distance between EH = b =[tex]\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1}})^{2} }[/tex]

[tex]=\sqrt{(5-1)^{2} +(1-3)^{2} }\\=\sqrt{16+4} \\=\sqrt{20}[/tex]

b =4.47 units

Perimeter of the Parallelogram = 2(a + b)

=2(1.41+4.47)

=11.76 units

Hence,  the Perimeter of the Parallelogram EFGH is 11.76 units

Learn more about Perimeter and Parallelogram here

https://brainly.com/question/9805609

#SPJ2

Answer:

A=7 B=12

Step-by-step explanation:

Answer:

x3squared-3x2squared-18x

Step-by-step explanation:

1 Expand by distributing terms.

({x}^{2}-6x)(x+3)(x

​2

​​ −6x)(x+3)

2 Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd(a+b)(c+d)=ac+ad+bc+bd.

{x}^{3}+3{x}^{2}-6{x}^{2}-18xx

​3

​​ +3x

​2

​​ −6x

​2

​​ −18x

3 Collect like terms.

{x}^{3}+(3{x}^{2}-6{x}^{2})-18xx

​3

​​ +(3x

​2

​​ −6x

​2

​​ )−18x

4 Simplify.

{x}^{3}-3{x}^{2}-18xx

​3

​​ −3x

​2

​​ −18x

Answer:

The answer is SAS. ( Option C )

Step-by-step explanation:

S A S congruence theorem is used to prove △MNP ≅ △ABC.

Given △MNP and △ABC are connect between points B and M.

In △MNP and △ABC

Side PN = Side BC (given)

angle PNM = angle ABC (given)

Side NM = Side AB (since AM and BN are congruent so NM and AB are also congruent)

So, by Side Angle Side Congruence rule  △MNP ≅ △ABC.

Hence S A S congruence theorem is used to prove △MNP ≅ △ABC.

For more details on congruence theorem follow the link:

https://brainly.com/question/19258025

Answer:

$47,520

Step-by-step explanation:

A.

the area of a polygon is/

A= perimeter X apothem /2

A=500

apothem = 10

500 = (P * 10)/2

P =100

B. 100*7.95 = $795

C.

60*100= 6,000

6,000 * $7.95=

$47,520

Answer:

-3/5

Step-by-step explanation:

The slope of a perpendicular line is always the negative reciprocal of the slope of the original line.

1/(5/3) * - 1 =  -3/5

The slope of the line that is perpendicular to the graph of y = 5/3 x + 8 is -3/5.

Equation of a line in slope intercept form is y = mx + b, where m is the slope of the line and b is the y intercept, which is the y coordinate of the point where it touches the Y axis.

Given a line,

y = 5/3 x + 8

Comparing with the slope intercept form,

Slope of the given line = 5/3

Any line perpendicular to the given line has a slope which is the negative reciprocal.

Slope of the perpendicular line = -3/5

Hence the required slope is -3/5.

Learn more about Slope here :

https://brainly.com/question/29146348

#SPJ2