4. What property justifies the work done in Line 3?
Line 1: 2c + 3C -22 = 78
Line 2: 5c - 22 = 78
Line 3: 5c - 22 + 22 = 78 + 22
Line 4: 5c = 100
Line 5: C = 20

O Subtraction Property of Equality
Commutative Property of Addition
o Associative Property of Addition
Addition Property of Equality

If the team members want to brag about how tall they are, they should use the mean height of approximately 65.14 inches.

The basketball team should use the mean height as the measure of center to brag about how tall they are.

The team’s mean height is calculated by summing up all the heights and dividing by the total number of players. In this case, the sum of the heights is 64 + 67 + 83 + 65 + 66 + 62 + 69 = 456. Dividing 456 by the total number of players (7) gives us a mean height of approximately 65.14 inches.

The team’s median height is the middle value when the heights are arranged in ascending order. In this case, the heights arranged in ascending order are 62, 64, 65, 66, 67, 69, 83. The middle value is 66 inches.

If the team members want to brag about how tall they are, they should use the mean height of approximately 65.14 inches. The mean takes into account all the heights and provides an overall average, whereas the median only represents the middle value and may not accurately reflect the heights of all the players.

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Answer:

Step-by-step explanation:

The 8-cm diameter sphere has a radius of 4 cm. The volume of it is given by ...

  V = 4/3πr³ = 4/3π(4 cm)³ = 256/3π cm³

The 8-cm cube has a volume of ...

  V = s³

  V = (8 cm)³ = 512 cm³

The volume of the empty space is the difference of these volumes:

  space = 512 cm³ -256/3π cm³ = 256(6 -π)/3 cm³

  space ≈ 243.9 cm³

__

The area of a hemisphere is twice the area of a circle with the same radius. Then the area of the top and bottom of the birdbath will be 2+1 = 3 times the area of a circle with radius 30 cm.

  top+bottom area = 3 × πr² = 3 × 22/7(30 cm)² = 8485 5/7 cm²

The lateral area of the cylinder is ...

  LA = 2πrh

  = 2(22/7)(30 cm)(145 cm) = 27342 6/7 cm²

Then the total surface area of the birdbath is ...

  total area = top+bottom area + lateral area

  total area = 8485 5/7 cm² +27342 6/7 cm² = 35828 4/7 cm²

  = 3 102/175 m²

Answer:

A. 82°

B. 144°

C. 75°

D. 150°

E. 241°

F. 80°

Step-by-step explanation:

A circle is 360°

A. 360 - 278 = 82 °

B. 360 - (124 + 92) = 144 °

C. 360 - (255 + 30) = 75 °

D. 360 - (118 + 30 +62) = 150 °

E. 360 - (21 +41 + 57) = 241 °

F. 360 - (30 + 60 + 80 + 110) = 80°

Also, the 80° is congruent so it's the same on both sides.

Answer:

Lisa

Step-by-step explanation:

Find the amount of money Lisa and Tara charge every hour.

Lisa's ratio is 28 : 2 hours

Divide both sides of the ratio by 2

Lisa charges 14 dollars per hour

Tara's ratio is 75:5 hours

Divide both sides of the ratio by 5

Tara charges 15 dollars per hour

Lisa charges 1 dollar less each hour, so Lisa offers a better deal.

Hope this helps :)

Have an awesome day!

Answer:

B. 136 °

Step-by-step explanation:

Given:  m and n intersect to form a 44° degree angle

⇒ (180 - 44)°

⇒ 136 °

Answer: B. 136 degrees

The steps which could be used to solve x  are add negative 3. 6 to both sides and subtract 3. 6 from both sides.

Property of equality says that by performing any mathematical operation, of both sides of a expression does not change the original value of the equation.

The expression given in the problem is,

[tex]x +3.6 = -1.7[/tex]

To isolate the terms x, add Negative 3. 6 to both sides as,

[tex]x +3.6+(-3.6) = -1.7+(-3.6)\\x=-1.7-3.6\\x=5.3[/tex]

Thus, by adding negative 3. 6 to both sides, the problem can be solved.

Instead of adding negative 3.6, subtract 3.6 from both sides in the given equation can also be work and give same result as,

[tex]x +3.6-3.6 = -1.7-3.6\\x=5.3[/tex]

Thus, a step which could be used to solve x add negative 3. 6 to both sides and subtract 3. 6 from both sides.

Learn more about the property of equality ehre;

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Supplementary angles are two angles whose measures add up to 180° . The two angles of a linear pair , like ∠1 and ∠2 in the figure below, are always supplementary. But, two angles need not be adjacent to be supplementary. In the next figure, ∠3 and ∠4 are supplementary, because their measures add to 180° so

angle ∠ABC  90°  therefore subtract the 90 to 180 to get the final answer

180-90=90

Final Answer is ∠QRS 90

Answer:

[tex]\sqrt{154}[/tex] is A) already simplified

Step-by-step explanation:

Step-by-step explanation:

that's the answer bbbbbbbb

Answer:

313003.6

Step-by-step explanation:

The number increases by 3 percent every year so 313003.6 is it.

Answer:

0

x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Now, this can be tricky.

But, we can use a calculator.

According to the calculator, the answer was 0.7071.

That means 0.7071 is the answer.

This image is optional. Use it for hints.

Answer:

Ok

Step-by-step explanation:

Question: 5²-11 x 2

Answer: 5x5 -11 x 2

25-22

3

Hope this helps you

have a great day :)

Answer:

Yes

Step-by-step explanation:

3/5, 1/2, 2/3, and 3/4 must be 3 or lower if added together.

We need to find the LCM of the denominators. The LCM, or lowest common multiple, of the denominators is 60. So we have to multiply the fractions by the LCM and add them up.

36 + 30 + 40 + 45 = 151.

60 x 3 = 180.

151 isn't up to 180, so yes. And also, if you divide 151 by 60, you would get 2.52 approximately.

Answer:

$ 2.167

Let the cost of a pencil be x and that of a pen be y.

A pen costs twice as much as a pencil.

==> cost of a pen = 2 × cost of a pencil

==> y = 2x

Their total cost is $6.50

==> x + y = $6.50

since y = 2x, substituting y for 2x

==> x + 2x = 6.50

==> 3x = 6.50

dividing both sides by 3

==> x = 2.16

As per our assumption, x is the cost of one pencil.

Therefore, the cost of a pencil is $2.167

Answer:$607.72

Step-by-step explanation: it’s a lot simpler than it looks. Since x represents the price of the item, you’ll have to substitute 12 dollars for x.

Making the equation, -3.42(12)^2+173.64(12)-983.48

Answer:

[tex]y=0.2*4^{x}[/tex]

Step-by-step explanation:

Notice when x increases 1, y is 4 times the previous one, so

the function is like [tex]y=C*4^{x}[/tex]

To determine the constant C, put any pair of (x, y)

Use x = 0, y = 0.2, so

0.2 = [tex]C*4^{0}[/tex] = C * 1 = C

then [tex]y=0.2*4^{x}[/tex]

Answer:

[tex]y=(0.2)4^x[/tex]

Step-by-step explanation:

General form of the exponential function: [tex]y=ab^x[/tex]

Substituting the first point (0, 0.2) into the function:

[tex]\implies 0.2=ab^0[/tex]

As any number to the zero power always gives one, [tex]b^0=1[/tex]

[tex]\implies0.2=a \times 1[/tex]

[tex]\implies a=0.2[/tex]

Therefore, [tex]y=(0.2)b^x[/tex]

Substituting the second point (1, 1.8) into the function:

[tex]\implies0.8=(0.2)b^1[/tex]

[tex]\implies0.8=(0.2)b[/tex]

[tex]\implies b=\frac{0.8}{0.2}[/tex]

[tex]\implies b=4[/tex]

So the final exponential equation is:

[tex]y=(0.2)4^x[/tex]

Checking the equation with the remaining two points:

[tex]x=2 \implies (0.2)4^2=3.2 \ \ \ \checkmark[/tex]

[tex]x=3 \implies (0.2)4^3=12.8 \ \ \ \checkmark[/tex]

Answer:

[tex]f(x)=\dfrac25x+\dfrac35[/tex]

Step-by-step explanation:

The data in the table means that if you input the value of x into the function, the output will be f(x).

The first two answer options are linear functions.  If a function is linear, the ratio of the difference in y-values to the difference in x-values is always constant.

We can see that the x-values in the table increase by 3 each time, so the difference in x-values is 3.

By calculation, we can also see that the y-values increase by 6/5 each time, so the difference in y-values is 6/5.

Therefore, the ratio of differences is 6/5 ÷ 3 = 2/5 and is constant.

So the function is linear and has a slope (gradient) of 2/5

Therefore, the function is: [tex]f(x)=\dfrac25x+\dfrac35[/tex]

Answer: 1.5 ft

Step-by-step explanation:

You can set up a proportion since the triangle are similar:

3 / 12 = x / 6

meaning x=1.5 ft

Answer:

fraction form 3/4

decimal form 0.75

percentage form 75%

Step-by-step explanation:

SOLUTION:

=) 9 + 6² - 2 × 8

=) 9 + 36 - 16

=) 45 - 16

=) 29

Answer:

x = 20°

explanation:

Steps:

[tex]\qquad\huge\underline{\sf Answer}[/tex]

now , subtract 20 from both sides which will give you, 160

divide both sides by 8

Hope it helps ~

Answer:

78

Step-by-step explanation:

Let the number be y

45/100 * y = 54

y = 120

The number is therefore 120

Hence, 65% of 120 is 78

Answer:

(1.5,2.5)

Step-by-step explanation:

f(x) = 2x^2 - 6x + 7

Take the first derivative and set it equal to 0 (the slope is 0 at the vertex)

f'(x) = 4x -6

0 = 4x - 6

4x = 6

x = 3/2 or 1.5

If x = (3/2), then y = 2(3/2)^2 - 6(3/2) + 7

y = 2(9/4) - 18/2 + 7

y = (9/2) - 2

y = 2.5

See attached graph.

Answer:

one

Step-by-step explanation:

one equation

tanks Please brianlist

Answer:

$7.88

Step-by-step explanation: