Two pizzas with 8 inch and 16 inch diameters are each cut into 6 equal pieces. How does the area of each piece of the smaller pizza compare to the area of each piece of the larger pizza?

Answer:

9

Step-by-step explanation:

The diagram showing the three pieces of paper of three digit in which two of the letters were covered can be seen below.

From the diagram; we have;

243 , 1_7 , _26

Assuming the covered digits are _

The sum is 826.

i.e

243 + 1_7 + _26 = 826

The objective is to determine the sum of the two unknown digits

So; we need to think about what number can we add put in 1_7 to determine the covered digit in  _26

From ; 1_7 , we have the choice to pick from 0 - 9

Assuming the covered digit is 0; let's check if we are right

So; 243 + 107  +  _26 = 826

350 +   _26 = 826

_26 = 826 - 350

_26 = 476

So; the covered digit is in the position of 4 , but it doesn't tally together

i.e 426 is not the same as 476, which makes our assumption to be wrong.

Let consider the covered digit to be 5 for example.

So; 243 + 157  +  _26 = 826

400 +   _26 = 826

_26 = 826 - 400

_26 =  426

The covered digit is in the position of 4

SO;

426 = 426

Here , our assumption is right.

As such , the covered digits are 5 and 4

The sum of the two  covered digits are = 5 + 4 = 9

Answer:

106°

Step-by-step explanation:

Given that the points B, C and D are colinear, it means that

2x + 40 = 5x + 10

collecting like terms

40 - 10 = 5x - 2x

3x = 30

x = 10

Hence the angle ∠E

= 5(10) + 10

= 60°

∠BCE = X + 4

= 10 + 4

= 14°

Given that the sum of angles in a triangle is 180°

∠D + 14 + 60 = 180

∠D = 180 - 74

= 106°

The 3 pack cost $9.45

3 single cartons would have cost: 3 x 4.20 = $12.60

Difference in cost: 12.60 - 9.45 = $3.15

Percent savings : 3.15/ 9.45 = 0.3333

0.333 x 109 = 33.33%

Round the answer as needed

Answer:

To create the sketch of a polynomial function there are key features are necessary and these are the vertex, axis of symetry, x and y intercepts

Step-by-step explanation:

To create the sketch of a polynomial function there are key features are necessary and these are the vertex, axis of symetry, x and y intercepts

One of the key features arte the vertex and this shows where it changes concativity.

While the x and y intercepts give you a couple of points of reference.

Also, the axis of symetry is only applicable to even degree polynomials

Answer:

  a) 18.6%

  b) 598,230

Step-by-step explanation:

a) In the first part of the question, you are given two population values and asked to find the percentage difference between them. A formula you can use for that is ...

  percentage difference = (difference)/(original value) × 100%

The difference of interest is the difference between the 2011 population and the 2001 population

  difference = 510,000 -430,000 = 80,000

The original value is the 2001 population, so the percentage difference is ...

  percentage difference = 80,000/430,000 × 100% = 0.1860 × 100% = 18.6%

This is a positive value, so represents an increase.

The percentage increase in population from 2001 to 2011 was 18.6%.

__

b) In the second part, you are given the percentage difference and asked to find the new value. We can rearrange the above formula to find the difference:

  difference = (percentage difference)/100% × original value

Then the difference between the 2021 population and the 2011 population will be ...

  difference = (17.3%)/100% × 510,000 = 0.173 × 510,000 = 88,230

So, the population in 2021 is expected to be 88,230 more than in 2011:

  2021 population = 520,000 +88,230 = 598,230

The predicted population in 2021 is 592,230.

Answer:

x=-1.30068.......

Step-by-step explanation:

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

Distribute

3x^3 - 2x = -4

Add 4 to each side

3x^3 - 2x +4 = 0

Plot using a graphing calculator

x=-1.30068.......

Answer:

Combining statement 1 and statement 2 is sufficient

Step-by-step explanation:

There are 3 items purchased

Most expensive item=20% discount

The other two items=10% discount each

Statement 1: The average (arithmetic mean) of the regular prices of the 3 items was $30.

Assume:

The 3 items cost: $40, $30 and $20 respectively,

Total discount =20% of $40 + 10% of $30 + 10% of $20

=$8 + $3 + $2

= $13

Assume

The 3 items cost: $50, $30 and $10 respectively,

Total discount = 20% of $50 +10% of $30 + 10% of $10

=$10 + $3 + $1

= $14

Therefore, statement 1 is INSUFFICIENT

Statement 2: The most expensive item was $50

The discount for the most expensive item at $50 = 20% of $50

= 0.2*$50

=$10

But we don't know the price of the other 2 items, so we can't determine the discounts.

Therefore, Statement 2 is also INSUFFICIENT

Combining statement 1 and 2

1) The average (arithmetic mean) of the regular prices of the 3 items was $30.

So, the SUM of the 3 items = $90

2) The most expensive item is $50

So the OTHER 2 items sum up to $40

$50 item gets 20% discount and the other two items ($40) each get 10% discount

The discount = 20% of $50 + 10% of $40

=0.20*50 + 0.1*40

=$10 + $4

=$14

Combining the two statements is sufficient

Answer:

Step-by-step explanation:

The area of a parallelogram is equal to the product of the length of its side and the height of the parallelogram perpendicular to that side.

H = 9 cm

S = 21 cm

A = S•H = 21 cm • 9 cm = 189 cm²

Answer:

0.987

Step-by-step explanation:

use stat on calculator

Answer:

16

Step-by-step explanation:

perimeter of B = 21

divide by 3 to get each side: 21/3 = 7 = Y

perimeter of hexagon is 50. subtract 2Y: 50 - 14 = 36

divide 36 by 4 to find X = 9

add X + Y

Hey there! I'm happy to help!

To find the volume of a rectangular prism, you simply multiply each of the three different sides!

18×9×17=2754

Therefore, the volume of this rectangular prism is c. 2754 units cubed.

Now you can find the volume of a rectangular prism! Have a wonderful day!

Answer: I just did it and the answer is 0.43

Step-by-step explanation:

Using it's concept, it is found that the probability that the person is from Texas given that the person prefers Brand b is given by:

A. 0.43.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, 105 people prefer brand B, and of those, 45 are from Texas, hence:

p = 45/105 = 0.43.

Which means that option A is correct.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ2

Answer:

Step-by-step explanation:

Given question is incomplete; here is the complete question.

∆ PQR shown in the figure below is transformed into ∆ STU by a dilation with center (0, 0) and a scale factor of 3.

Complete the following tasks,

- Draw ΔSTU on the same set of axes.

- Fill in the coordinates of the vertices of ΔSTU.

- Complete the statement that compares the two triangles.

When ΔPQR is transformed into ΔSTU by a dilation with center (0, 0) and a scale factor of 3,

Rule to followed to get the vertices of ΔSTU,

(x, y) → (3x, 3y)

P(1, 1) → S(3, 3)

Q(3, 2) → T(9, 6)

R(3, 1) → U(9, 3)

Length of QR = 2 - 1 = 1 unit

Length of PQ = [tex]\sqrt{(3-1)^2+(2-1)^2}=\sqrt{5}[/tex] units

Length of PR = 3 - 1 = 2 units

Length of ST = [tex]\sqrt{(9-3)^2+(6-3)^2}=3\sqrt{5}[/tex] units

Length of TU = 6 - 3 = 3 units

Length of SU = 9 - 3 = 6 units

Therefore, ratio of the corresponding sides of ΔPQR and ΔSTU,

[tex]\frac{\text{PQ}}{\text{ST}}=\frac{\text{QR}}{\text{TU}}=\frac{\text{PR}}{\text{SU}}[/tex]

[tex]\frac{\sqrt{5}}{3\sqrt{5}}=\frac{1}{3}=\frac{2}{6}[/tex]

[tex]\frac{1}{3}=\frac{1}{3}=\frac{1}{3}[/tex]

Since ratio of the corresponding sides are same,

Therefore, ΔPQR and ΔSTU are similar.

Answer:

19.5 km

Step-by-step explanation:

the actual distance between Harry and the Sea view:

if 24 km is 5 cm on map

24*4/5= 19.5 km

Answer:

See below.

Step-by-step explanation:

[tex](6a+3b)(a-b)\\[/tex]

Distribute:

[tex]=(6a+3b)(a)-(6a+3b)(b)\\=6a^2+3ab-(6ab+3b^2)\\=6a^2+3ab-6ab-3b^2\\=6a^2-3b^2-3ab[/tex]

Answer:

6a^2-3b^2-6ba+3ba

Step-by-step explanation:

(6a+3b)(a+b)....expand the term

6axa - 6axb + 3bxa - 3b×b ....simplify

6a^2 - 6ba + 3ba - 3b^2, then reorder so highest order terms come first

6a^2 - 3b^2 - 6ba + 3ba

Answer:

Correct (1,9), (2,14)

Incorrect (1,8),(2,13)

Step-by-step explanation:

It is simple.

To find the correct values plug a x value.

For Example;

X=1

y=5(1)+4

y=5+4

y=9

so your X value is 1 and your Y value is 9

To solve for the incorrect values

Find the correct values and subtract 1 form the Y value.

Answer:

No, it doesn't make sense because the output is not feasible.

Step-by-step explanation:

We are told that the function g(x) represents the number of items collected.

Now, we are also told that x is the number of people who donated.

Now, if we want to consider a possible solution of (60, 10) .

It means, we now have; g(60) = 10

This means that 60 people donated and 10 items were collected.

It doesn't make sense that 60 people donated items and only 10 items were available to be collected.

Thus, we can say that ;

No, it doesn't make sense because the output is not feasible.

Answer:

B: 3,0,-3,-6

Step-by-step explanation:

An arithmetic sequence has constant adding or subtracting. In this case, 3 is being subtracted as a constant.

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

Explanation:

Let's say this is a 1 by 1 square. The area is 1*1 = 1 square unit. Whatever the area of the triangle is, we divide it over 1 and it will yield the same value as the area of the triangle. In other words, the area of the triangle will be the answer.

Along the top we have 3 ticks to indicate the top segment has been cut into 3+1 = 4 equal parts. The horizontal distance from the the vertical side of the triangle to the peak of the triangle is 3/4 units. This is because we travel 3 ticks out of 4 total. So this is the height when we consider the vertical segment of the triangle to be the base.

The base is 1 unit as it spans the original square's side length

base = 1

height = 3/4

area of triangle = (1/2)*(base*height)

area of triangle = (1/2)*(1*3/4)

area of triangle = 3/8

ratio of triangle area to square area = (triangle area)/(square area)

ratio of triangle area to square area = (3/8)/1

Answer:

3/8

Step-by-step explanation:

let side of square=x

Area of a square =x^2

height of a triangle= 3x/4  ( 4/4=1/4) since height is only 3x/4 from the square)

( base =x same side as a square)

Area of a triangle=1/2 bh=1/2(x*3x/4)= 3x^2/8

the ratio of shaded triangle to the area= (3x^2/8)/x^2=3x^2/8x^2=3/8

Step-by-step explanation:

An arithmetic sequence is given by relation as follows :

[tex]A(n)=-6+(n-1)\dfrac{1}{5}[/tex]

For the first term, put n = 1. So,

[tex]A(1)=-6+(1-1)\dfrac{1}{5}\\\\A(1)=-6[/tex]

For fourth term, put n = 4. So,

[tex]A(4)=-6+(4-1)\dfrac{1}{5}\\\\A(4)=\dfrac{-27}{5}\\\\A(4)=-5\dfrac{2}{5}[/tex]

For tenth term, put n = 10. So,

[tex]A(10)=-6+(10-1)\dfrac{1}{5}\\\\A(10)=-6+\dfrac{9}{5}\\\\A(10)=\dfrac{-21}{5}\\\\A(10)=-4\dfrac{1}{5}[/tex]

Hence, the correct option is (C).

Answer:

the answer in C)-6, -5 2/5, -4 1/5

Answer:

x = 28 degrees. 180 degrees in a triangle, 180-85-67=28

Answer:

28 degrees

Step-by-step explanation:

The interior angles of a triangle add up to 180 degrees.

The three angles given are: x, 85, and 67.

Therefore, these three angles must add to 180.

x+85+67=180

Combine like terms on the left. Add 85 and 67.

x+ (85+67)=180

x+152=180

We want to find x. We need to get x by itself. 152 is being added to x. The inverse of addition is subtraction. Subtract 152 from both sides.

x+152-152=180-152

x=180-152

x=28

x is 28 degrees.

Answer:

(f ∘ g)(x) = 0.9x - 100

Step-by-step explanation:

Here in this question, we are interested in calculating (f ∘ g)(x)

From the question, we are given;

f(x) = x -100

g(x) = 0.9x

So (f ∘ g)(x) simply means we shall be representing the x in f(x) with the totality of the value of g(x)

Mathematically, what we are saying is that;

Find (f ∘ g)(x) = 0.9x - 100

Answer: He can buy 5 loaves of bread.

After buying 5 loaves 15 p will be left.

Step-by-step explanation:

Given, In the supermarket a loaf of bread costs 37p .

To find: How many loaves can David buy with a [tex]\pounds 2[/tex] coin?

Since [tex]\pounds 1=100\text{ pence}[/tex]

Then, [tex]\pounds 2=200\text{ pence}[/tex]

Number of loaves he can buy = (Amount he has) ÷ (Cost of a loaf of bread)

= 200 p ÷ 37 p

[tex]=5\dfrac{15}{37}[/tex]

i.e. he can buy 5 loaves of bread and 15 p will be left.

Hence, He can buy 5 loaves of bread.

After buying 5 loaves 15 p will be left.

Answer:

Step-by-step explanation:

9x + 8 = 7.5x + 17

1.5x = 9

x = 6 hours

Answer:

exact form: n=378/13

decimal form: n=29.0769....

mixed number form: n=[tex]29\frac{1}{13}[/tex]

Step-by-step explanation:

Answer:

n = 21

Step-by-step explanation:

[tex]\frac{n}{2}-\frac{3n}{9}+\frac{5n}{9}=21\\\\\frac{9n}{18}-\frac{6n}{18}+\frac{10n}{18}=21\\\\\frac{3n}{18}+\frac{10n}{18}=21\\\\\frac{13n}{18}=21\\\\13n=273\\\\n=21[/tex]

Steps:

1. Write as fractions

2. Make the fractions have the same denominator

3. Collect like terms

4. Collect like terms

5. Multiply both sides by 18

6. Divide both sides by 13.

Answer:

Third one 4x+9

Step-by-step explanation:

We khow that any any real number inside the root should be positive

4x+9 shoul be positive wich can be expressed mathematically by:

4x+9≥0

Answer:

5

Step-by-step explanation:

Step-by-step explanation:

hope it will help you..........

Answer:

Step-by-step explanation:

A radius to the tangent point always forms a right angle with the tangent.

m∠MNP = 90° so we can use Pythagorean theorem:

[tex]MN^2+NP^2=MP^2\\\\MN^2+48^2=50^2\\\\MN^2+2304=2500\\\\MN^2=196\\\\MN=\sqrt{196}\\\\MN=14\,ft[/tex]