One pound of nuts costs $2.80. Aaron bought 2 pounds of nuts. He gave the clerk a $10.00 bill. How much change did he get?
Group of answer choices

A.$8.20

B.$7.20

C.$4.20

D.$4.40

Answer:

   1/2

Step-by-step explanation:

The ratio of interest is ...

  (1/2 cm)²/(1/2 cm²) = (1/4)/(1/2) = 1/2

One-half centimeter squared is half of 1/2 square centimeter.

I'll do problem 9 to get you started.

Refer to figure 1 shown below. I've highlighted triangle AOB in red. This is an isosceles triangle with AO = OB as the congruent sides. These sides are congruent because they are radii of the same circle. Consequently, it means that the base angles opposite those sides are congruent.

I'll let x be the base angles. I'll let the remaining interior angle be y. Furthermore, z is adjacent to angle y.

For triangle AOB, and any triangle really, the interior angles add to 180 degrees.

A+O+B = 180

x+y+x = 180

2x+y = 180

y = 180-2x

Then we can say

(angle AOB) + (angle AOP) = 180

y + z = 180

180-2x + z = 180

z = 180+2x - 180

z = 2x

The punchline here is that angle ABP doubles to angle AOP.

angle AOP = 2*(angle ABP)

You'll repeat these same type of steps for triangle BOC in figure 2. The steps are effectively identical so there's not much for me to explain that I already haven't done so. You should find that r = 2m which shows angle PBC doubles to angle POC.

-----------------------------

To wrap everything up for problem 9, we will combine the results we found for variables z and r.

angle AOC = z+r

angle AOC = 2x + 2m

angle AOC = 2(x+m)

angle AOC = 2*(angle ABC)

This concludes the inscribed angle theorem proof. Any inscribed angle doubles to get the corresponding central angle, where both subtend the same arc. In this case, they both subtend the arc APC.

Answer:

Step-by-step explanation:

The line rises to the left so the slope is negative.

The slope m = -24/12 = -2.

Using the point-slope formula and taking the point (12, 0) on the line:

y - y1 = m(x - x1)   where m = -1, x1 = 12 and y = 0:

y - 0 = -2(x - 12)

y = -2x + 24   <------- this is the required equation.

Answer:

Blank 1 : -2

Blank 2 : 24

Step-by-step explanation:

The first blank denotes the rate of change, or the slope of the graph.

Slope = y₂ - y₁ / x₂ - x₁

The second blank denotes the value of variable K when the value of variable J is 0, or rather the y-intercept of the graph.

The y-intercept is clearly (0, 24)

Answer:

85 degrees

Step-by-step explanation:

The angles in a quadrilateral add to 360 degrees, so x+109+96+70=360.

This means that x=360-109-96-70=85 degrees

Answer:

p/3

Step-by-step explanation:

You can divide both sides by three.

P=3S

----/3

P/3=S

Thus, p/3 is the answer

Answer: 2.9

Step-by-step explanation:

area of roof = (.5)(base of house)(left side - right side)

area of roof = (.5)(2)(2.8 - 1.8)

area of roof = (.5)(2)(1) = 1

area of bottom = left height x base of house

area of bottom = 1.8 x 2 = 3.6

area of house = area roof + area bottom

area of house = 1 + 3.6 = 4.6

area without door = area house - area door

area door = door height x door width

area door = 1.7 x 1

area door = 1.7

area without door = 4.6 - 1.7 = 2.9

Answer:

Step-by-step explanation:

Answer:

arc RS = 60°

Step-by-step explanation:

the secant- secant angle P is half the difference of ots intercepted arcs, that is

40° = [tex]\frac{1}{2}[/tex] (QT - RS ) ← multiply both sides by 2 to clear the fraction

80° = QT - RS

80° = 140° - RS ( subtract 140° from both sides )

- 60° = - RS ( multiply both sides by - 1 )

60° = RS

[tex]~~x^2+10x+25 = 27\\\\\implies x^2+2\cdot 5 x +5^2 = 27\\\\\implies (x+5)^2 = 27\\\\\implies x +5 = \pm\sqrt{27}\\\\\implies x = -5 \pm\sqrt{3\times 9}\\\\\implies x = -5 \pm3\sqrt 3\\\\\text{Hence,}~~ x = -5 + 3 \sqrt 3 ,~~~ x =-5-3\sqrt3[/tex]

Answer:

D. 3 1/12

Explanation:

[tex]\rightarrow \sf 4\dfrac{1}{3} -1\dfrac{1}{4}[/tex]

convert into improper fraction

[tex]\rightarrow \sf \dfrac{13}{3} -\dfrac{5}{4}[/tex]

make the denominators same. 12 is the common factor of both 3 and 4

[tex]\rightarrow \sf \dfrac{13(4)}{12} -\dfrac{5(3)}{12}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{52}{12} -\dfrac{15}{12}[/tex]

join both fraction

[tex]\rightarrow \sf \dfrac{52-15}{12}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{37}{12}[/tex]

convert into mixed fraction

[tex]\rightarrow \sf 3\dfrac{1}{12}[/tex]

Answer:

first question: 24/40

second question: 36/5

Answer:

3. 24/5
4. 36/5

Step-by-step explanation:

For number 3, we can find the answer by multiplying 3/5 by 8, because the rabbits ate 3/5 of the celery in each garden. That's 3/5 eight times.

3/5 · 8/1 = 24/5

For number 4, we apply the rules of multiplication and solve A whole number can turn into a fraction by adding one as the denominator. Next, simply multiply the numerators by the denominators.

12/1 · 3/5 = 36/5

hope this helps!

Answer:

$48.6

Step-by-step explanation:

35% x 36 = 12.6

36 + 12.6 = $48.6

Answer:

The percent decrease or discount she received was 40%

Step-by-step explanation:

Answer:

$13.52

Step-by-step explanation:

Since we know the tax rate is 6%, we can multiply by 12.75*6/100 to get how much the tax would be added to the total. We get 0.765. And now we add 0.765 and 12.75 to get 13.515. Since it's asking to round to the nearest cent, we get $13.52

Answer:

60 inches

Step-by-step explanation:

Add 59+61 =120 which you divide by 2 for the mean of 60.

The major key with 2 flats is :

B♭ major

Answer:

The key of B♭ major has two flats

Step-by-step explanation:

An accidental sign consisting of two flat symbols ♭that lower a note by two half steps two semitones. The double flat symbol alters the pitch of the note to which it is attached as well as any subsequent occurrence of the same note identical line or space in the same measure.

Hope this helps

~Heaven~

Answer:

36 degrees

Step-by-step explanation:

well it tells you both of the other angles, and a triangles angles always equal to 180 degrees, so its a simple as 111+33=144 and 180-144=36, so 36 degrees, is your missing angle.

[tex] \mathbb\red{4\:turning\:points} [/tex]

The total surface area of any given net of a rectangular prism = area of each rectangular face.

If we are given the net of a rectangular prism, the total surface area of the rectangular prism is the area of each rectangular face all summed together.

The image of the net of the rectangular prism is missing, however, let's assume the image attached below is the net of the prism.

Therefore, the total surface area of the rectangular prism = area of each rectangular face = 20 + 8 + 40 + 8 + 20 + 40 = 96 cm².

Learn more about the rectangular prism on:

https://brainly.com/question/1015291

The height of the trapezoidal is 4.33 feet. Then the area of the tarp to cover the pool is 51.96 square feet.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezoidal, one pair of opposite sides are parallel.

A hotel builds an isosceles trapezoidal pool for children. It orders a tarp to cover the pool when not in use.

Then the area of the trapezoidal will be

Area = 0.5(sum of parallel sides) height

Then the height of the trapezoidal will be

[tex]\rm h = 5 \times \sin 60 \\\\h = 4.33 \ ft[/tex]

Then the area of the trapezoidal will be

Area = 0.5 × (10 + 12) × 4.33

Area = 51.96 ft²

The area of the tarp to cover the pool is 51.96 square feet.

More about the trapezoidal link is given below.

https://brainly.com/question/8643562

#SPJ1

Answer:

1. 120 degrees

2. 4.3

3. 47.3

Step-by-step explanation:

PLATO/EDMENTUM

Answer:

1.25 kg

Explanation:

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

======

So, 1250 gram = (1250/1000) kg

We know

Now

Mass in kg:-

Option A

Answer:

D

Step-by-step explanation:

Got it right on edge 2022

Answer:

73.4%

Step-by-step explanation:

First, find the total number of people:

3605+1306=4911 people

The formula for any probability is:

Part / Whole

3605 respondents out of the total 4911 people say they use a social networking site

3605/4911 = 0.7341

Multiply this by 100 to get a percent

Thus, 73.4%

Answer:

Subtract the final price from the original price. Divide this number by the original price. Finally, multiply the result by 100.

Step-by-step explanation:

Answer:

c 30ft

Step-by-step explanation:

the shape would be a triangle, so you use the formula w^2+l^2=d^2

width is 16, diagonal is 34

1156=l^2+256

you subtract on both sider to get l^2= 900

square root of 900 is 30

Using derivatives, it is found that the correct option is given by:

A. The expression 2x² + 20x + 32 represents the average rate of increase in the total number of clubs in the network across all states.

It is the rate of change of the function over a period of time.

In this problem, the total number of people in the book club after x months is given by:

f(x) = 2x³ + 20x² + 64x + 64

The derivative is given by:

f'(x) = 4x² + 40x + 64 = 2(2x² + 20x² + 32).

It represents the average rate of change across all states, hence option A is correct.

More can be learned about derivatives at https://brainly.com/question/2256078

#SPJ1

[tex]3x^2y+6xy-9xy^2\\\\=3xy(x+2-3y)[/tex]

Answer:

y = 4

Step-by-step explanation:

Use slope intercpet form: y = mx + b

Answer:

1)

x = 1

y = -3

2)

x = 3 or x = -3

Step-by-step explanation:

1)

System of equations, we plug in y to the second equation

[tex]4x + 2(4x-7) = -2\\4x+8x-14 = -2\\12x = 12\\x=1[/tex]

We then plug x back into the first equation to find y

[tex]y = 4(1) -7\\y = -3[/tex]

2)

[tex]4x^2 +3=39\\4x^2=36\\x^2=9\\x=3, -3[/tex]