Practice
pies and factors - QUIZ - LEVEL
Which statement is true?
4 is a factor of 18.
4 is a factor of 20.
4 is a factor of 26.
4 is a factor of 30.

Answer:

  [tex]\text{A)}\qquad (x-2)^2+(y+1)^2=16[/tex]

Step-by-step explanation:

The formula for a circle of radius r centered at (h, k) is ...

  (x -h)^2 +(y -k)^2 = r^2

Both of the given points are on the line y=-1. The distance between them is the difference of their x-coordinates, 2 -(-2) = 4. So, the radius of the circle is 4 and the equation becomes ...

  (x -2)^2 +(y -(-1))^2 = 4^2

  (x -2)^2 +(y +1)^2 = 16 . . . . . . . . . matches choice A

The volume of the cone is:

V=Sb×h/3=(pi×r²)×h/3, where Sb is the area of the base (circle of radius r) and h is the height.

V=pi×r²×h/3=pi×1.5²×5/3=11.775in³

The closest indicated value is the first one, 11.78in³

Answer: 79.27

Step-by-step explanation:

Answer:

Area of the Rectangle = 4 * 10 = 40 square inches

Area of the semi-circle = (PI * radius^2) /2

Area of the semi-circle = (PI * 5^2) / 2

Area of the semi-circle = (PI * 25) / 2

Area of the semi-circle = 39.2699081699

Total Area = 40 + 39.2699081699 =

79.2699081699 =

79.27 square inches

Step-by-step explanation:

it is y=2 because both points have a y value of 2

Answer:

See below.

Step-by-step explanation:

1. Given.

2. Given

3. Definition of  angle bisector.

4. BD ⊥ AC

5. They are both right angles.

6. This is common on to both triangle  ABD and CBD.

7. Congruent by 2 angles and the corresponding side ( ASA?)

8. CPCTC

9. Definition of an isosceles triangle.

Answer:

B

Step-by-step explanation:

She only has two cakes because that's all she bought.

Final answer:

The provided text does not contain information about Miss Maudie or the distribution of cakes, leading to the inability to answer why only two small cakes were provided instead of three.

Explanation:

The question refers to a situation within a piece of literature where Miss Maudie provides only two small cakes to the children instead of three. According to the provided context, there is no explicit mention of Miss Maudie or the exact circumstance of the cake distribution in the passages. Moreover, the excerpts provided do not contain information about a character named Miss Maudie.

They discuss Miss Sydney and her interactions with street beggars and a candy vendor, as well as the narrator's mother's childhood experiences with poverty. Since the textual evidence does not support any conclusions about Miss Maudie and her cakes, I cannot confidently provide an answer to the question about why Miss Maudie only has two small cakes instead of three for the children.

Answer:

x^2 - 6x + 9

Step-by-step explanation:

(x - 3)^2

(x - 3)(x - 3)

x^2 - 3x - 3x + 9

x^2 - 6x + 9

Answer:x^2-6x+9

Step-by-step explanation:

(x-3)^2=(x-3)(x-3)=x^2-3x-3x+9

Collect like terms

X^2-6x+9

Answer:

g ÷ 5

Step-by-step explanation:

Variable: g

Operation: Division (represented as ÷)

Constant: 5

Put together the equation:

g ÷ 5

Hope this helps :)

The formula to the volume of cone is πr²h. Pi x 13² x 10 = 5309.29158457.

Answer:

x = -13 and y = -4

Step-by-step explanation:

-4x + 8y = 20 ................... eqn 1

2x + 2y = -30 ................... eqn 2

Step 1: Multiply eqn 1 by 2 and eqn 2 by 4

(-4x + 8y = 20) × 2

(2x + 2y = -30) × 4

we will have

-8x + 16y = 40 ....................eqn 3

8x + 4y = - 120 .................. eqn 4

Step 2: Add eqn 3 and 4 together

20y = - 80

Step 3: divide all through by 20

y = -80/20

y = -4

Step 4: Substitute -4 for y in eqn 1

-4x + 8(-4) = 20

-4x - 32 = 20

-4x = 20 + 32

-4x = 52

Step 5: Divide both sides by -4

x = 52/-4

x = -13

Answer:

 {x,y} = {-35/3,-10/3}

Step-by-step explanation:

 -4x+8y=20;2x+2-30  

System of Linear Equations entered :

  [1] -4x + 8y = 20

  [2] 2x + 2y = -30

Solve by Substitution :

// Solve equation [2] for the variable  y 

[2] 2y = -2x - 30

[2] y = -x - 15

// Plug this in for variable  y  in equation [1]

  [1] -4x + 8•(-x -15) = 20

  [1] -12x = 140

// Solve equation [1] for the variable  x 

  [1] 12x = - 140 

  [1] x = - 35/3 

// By now we know this much :

  x = -35/3

  y = -x-15

// Use the  x  value to solve for  y 

  y = -(-35/3)-15 = -10/3 

Solution :

 {x,y} = {-35/3,-10/3} 

Answer:

Angle QPU = 110

Step-by-step explanation:

Since angle QPU & RPQ are supplementary angles, they add up to 180 degrees. So take 180 - 70 which gives you 110.

Answer:

Step-by-step explanation:

Note, line UPR is a straight line

Also, angle on a straight line is 180

Therefore,

<QPU and <QPR are supplementary

<QPU+<QPR=180

Given that <QPR=70°

<QPU+70=180

Subtract 70° from both sides of the equation

<QPU=180 -70

<QPU=110

Answer:

Option (b) -1.2, -3.2,-5.2,-7.2,…..  is AP

The common difference = -2

3 more terms are ⇒ -9.2 , -11.2 , -13.2

Option (c) 2, 5/2 ,3, 7/2…..  is AP

the common difference = 1/2

3 more terms are ⇒ 4 , 9/2 , 5

Step-by-step explanation:

AP ⇒ arithmetic progression is a sequence of numbers provide that the difference of any two successive members is a constant.

So, we will check the options:

• (a) 2,4,8,16……

The difference between 2 , 4 = 4 - 2 = 2

The difference between 4 , 8 = 8 - 4 = 4

So, option a is not AP

• (b) -1.2, -3.2,-5.2,-7.2,…..

The difference between -1.2 , -3.2 = -3.2 - (-1.2) = -3.2 + 1.2 = -2

The difference between -3.2 , -5.2 = -5.2 - (-3.2) = -5.2 + 3.2 = -2

So, option b is AP

The common difference = -2

3 more terms are ⇒ -9.2 , -11.2 , -13.2

• (c) 2, 5/2 ,3, 7/2…..

The difference between 2 , 5/2 = 5/2 - 2 = 1/2

The difference between 5/2 , 3 = 3 - 5/2 = 1/2

So, option c is AP

The common difference = 1/2

3 more terms are ⇒ 4 , 9/2 , 5

• (d) -10,-6,-2.2, ……

The difference between -10 , -6 = -6 - (-10) = -6+10 = 4

The difference between -6 , -2.2 = -2.2 - (-6) = -2.2 + 6 = 3.8

So, option d is not AP

So, the options that form an AP are b and c

The area of the figure is 112 square inches.

Step-by-step explanation:

Step 1:

To calculate the value of the composite shape we first divide it into shapes that we know.

In this case, the composite shape consists of a triangle and a square attached below it.

If we can calculate the individual areas of the two shapes we should be able to calculate the area of the composite shape.

Step 2:

The triangle has a base length [tex]=10-6=4[/tex] inches and the height is [tex]16-10=6[/tex] inches.

The area of the triangle [tex]= \frac{1}{2} (b)(h) = \frac{1}{2} (4)(6) = 12.[/tex]

The area of the triangle is 12 square inches.

Step 3:

The area of a square is the square of its side length. The given square has a side length of 10 inches.

The area of the square [tex]= a^{2} = 10^{2} = 100.[/tex]

The area of the square is 100 square inches.

Step 4:

Now we calculate the area of the entire figure by adding the areas of the triangle and the square.

Area of the figure [tex]= 100 + 12 = 112.[/tex]

So the area of the figure is 112 square inches.

Answer:

no solution

Step-by-step explanation:

no solution

Answer:

x, y = 7, 1

Step-by-step explanation:

x+6y=13 ............ (i)

2x+y=15 ........... (ii)

We will apply substitute method.

From equation (i), we can get,

x+6y=13

or, x = 13 - 6y .......... (iii)

Putting the value of x in equation (ii), we can get,

2x+y=15

or, 2 × (13 - 6y) + y = 15

or, 26 - 12 y + y = 15 [multiplying]

or, -11 y = 15 - 26 [Subtracting 26 from both the sides]

or, -11 y = -11

or, [(-11 y) ÷ (-11)] = [(-11) ÷ (-11)] [Dividing both the sides by -11]

or, y = 1

Therefore, the value of y = 1

Putting y = 1 in equation (iii), we get,

x = 13 - 6y

or, x = 13 - 6 × 1

or, x = 13 - 6

or, x = 7

Therefore, the value of x = 7.

Answer: x, y = 7, 1

Answer: The answer is 4) 4x*3 +4x^2   where x = 6,13

4x^3 = 6.13 x 6.13 x 6.13 =230 +4x^2 =

=232.7+ 49.04   = 282.1 cube

The answer is 281.1 when x=6.13

Step-by-step explanation:

Answer:

A, B & C

Step-by-step explanation:

Edge 2020 assignment

Answer:

I Think it is

741.36

Step-by-step explanation:

just add em up stat focused

Answer:

24/30

Step-by-step explanation:8/3 times 3/10. Multiply across. Always flip the 2nd fraction when dividing fractions then multiply

Answer:

4/5

Step-by-step explanation:

8/3 divided by 10/3

Remember, Keep Change Flip.

8/3 x 3/10

= 24/30

= 4/5

Answer:

x = 24

Step-by-step explanation:

(6x + 5) = 149

6x + 5 = 149

6x = 149 - 5

6x = 144

x = 144 / 6

x = 24

Answer:

x=24

Step-by-step explanation:

This is a linear equation.

(6x+5)=149

Collect like terms by placing the +5 after the equality sign, which will make it become -5

6x=149-5

6x=144

Divide both sides by 6

6x/6=144/6

x=144/6

x=24

We can go further to check, if we are correct by substituting x with 24 in the equation. And then both sides of the equation must be the same

(6x+5)=149

6(24)+5=149

144+5=149

149=149

42/24 = 42/24 or 7/4 = 42/24 so yes

Step-by-step explanation:

they're equivalent

42 and 24 are multiple of 6

so 42/24

42/6 is 7

24/6 is 4

fraction is 7/4 so YES

The statement is true. When x has a value of zero, the y value is 2. So option (a) is correct.

To determine whether the statement is true or false, let's first analyze the given equation:

2x + 3y = 6

We're given that when x = 0, y = 2. We can use this information to solve for y:

2(0) + 3y = 6

0 + 3y = 6

3y = 6

y = 6/3

y = 2

This confirms that when x = 0, y does indeed equal 2. So, the given information is consistent with the equation. Therefore, the statement "When x has a value of zero, the y value is 2" is true.

To summarize:

Given the equation 2x + 3y = 6, when x = 0, y = 2.

Proof:

2(0) + 3(2) = 6

0 + 6 = 6

6 = 6

Thus, when x is 0, y is indeed 2, verifying the statement as true.

Complete Question:

Given: 2x+3y=6. When x has a value of zero, the y value is 2.

(a) True

(b) False

Answer:

  -10, -8, -6, -4

Step-by-step explanation:

Perhaps you want to know what they are.

__

The odd number between the middle two is their average value: -28/4 = -7.

The integers are -10, -8, -6, -4.

Answer: The even integers are -10, -8, -6 and -4

Step-by-step explanation:

Let the smallest of the even integers be represented by x, the other three will therefore be x +2, x +4 and x+6

Thus, x + (x+2) + (x+4) + (x+6) = -28

4x + 12= -28

Make x the subject of the equation

4x= -28 - 12

4x= -40

x = -10,

since the x = -10,

x + 2= -10 + 2= -8

x + 4= -10 +4 = -6

x + 6= -10 + 6= -4

I hope this helps.

Answer:

B.90

Step-by-step explanation:

As there are 10 people and choosing chairperson occurs first as an independent event

=> The number of possible chairperson is 10.

After the chairperson is chosen, the number of names left in the hat is 9

=> There are 9 possible vice-chair.

However, the names left in the hat depends on which name is elected as chairperson

=> Choosing vice-chair is a an event dependent on the first event.

=> The number of possible combinations of chair and vice chair would be:

9x10 = 90

In order to solve this problem, we'll use the concept of Mid-segment of a Trapezoid which is defined as the segment that connects he midpoints of the two non-parallel sides of the trapezoid. So, it is true that:

[tex]EF=\frac{AD+BC}{2} \\ \\ 5x=\frac{x+2+43}{2} \\ \\ Isolating \ x: \\ \\ 10x=x+45 \\ \\ 9x=45 \\ \\ x=5 \\ \\ \\ So: \\ \\ EF=5x \\ \\ EF=5(5) \\ \\ \boxed{EF=25}[/tex]

Step-by-step explanation:

Given points are: [tex] (5, - 2) =(x_1,\:y_1) \:\&\: (-3, 4)=(x_2,\:y_2)[/tex]

Equation of line in two point form is given as:

[tex] \frac{y -y_1 }{y_1 - y_2} = \frac{x -x_1 }{x_1 - x_2} \\ \\ \therefore \: \frac{y -( -2 ) }{ - 2 - 4} = \frac{x -5 }{5 - ( - 3)} \\ \\\therefore \: \frac{y + 2 }{ - 6} = \frac{x -5 }{5 + 3} \\ \\\therefore \: \frac{y + 2 }{ - 6} = \frac{x -5 }{8} \\ \\\therefore \: \frac{y + 2 }{ - 3} = \frac{x -5 }{4} \\ \\\therefore \: 4(y + 2 ) = - 3(x - 5) \\ \\ \therefore \: 4y + 8 = - 3x + 15 \\ \\ \therefore \: 3x + 4y + 8 - 15 = 0 \\ \\ \huge \: \orange{ \boxed{\therefore \: 3x + 4y - 7 = 0}} \\ \: \: is \: the \: required \: equation \: of \: line[/tex]

Answer:

Rotations of tire to travel 500 feet: 95.54

Step-by-step explanation:

Circumference = 20 x 3.14 = 62.8 in

500 feet = 500 x 12 inches = 6,000 in

Rotations = 6000 / 62.8 = 95.54 rotations of tire

Answer:

78.6 degrees.

Step-by-step explanation:

Complementary angles add up to 90 degrees. So just take 11.4 from 90.

90 - 11.4 = 78.6

Final answer:

To find the number of hamburgers sold, we set x as the number of hamburgers and x + 68 as the number of cheeseburgers, given that the total sold was 518. The equation x + (x + 68) = 518 is solved to find that 225 hamburgers were sold.

Explanation:

To solve this problem, let's use algebra. Let x be the number of hamburgers, then the number of cheeseburgers would be x + 68 since there were 68 more cheeseburgers sold than hamburgers. Given that the total number of hamburgers and cheeseburgers sold is 518, we can set up the following equation:

x + (x + 68) = 518

Solving for x we get:

2x + 68 = 518

2x = 518 - 68

2x = 450

x = 225

So, the hamburger shop sold 225 hamburgers on Tuesday.

Answer:

The answer would be 18484.2883549

Step-by-step explanation:

Firstly, you'll simplify 10².

10²÷0.00541 ---> 100 ÷ 0.00541

Then, you'll divide 100 by 0.00541.

100 ÷ 0.00541 ---> 18484.2883549

Answer:

18484.28835

Hope this helps

-Amelia The Unknown