An item sells for $40. The sales tax on
the item is 8%. What is the sales tax and
total cost?
Tax
Total

Answer:

It is 14130 mm^3

Step-by-step explanation:

So the equation for the volume of a sphere is (4/3) (3.14) r^3. So since we already have the radius, we just plug it in to get the answer:

(4/3) (3.14) r^3

(4/3) (3.14) 15^3

(4/3) (3.14) 3375

(4/3) (10597.5)

14130 mm^3

Answer:

$32.60

Step-by-step explanation:

This question has to to do with exponential decay. The formula is given as:

y = a(1 - r)^x

y = Value of the material after x years

a = Initial value of the material

x = Time in years

r = rate of depreciation or decay

Therefore,

y = 4500 × (1 - 0.28)¹⁵

y = 4500 × 0.72¹⁵

y = $32.598675906

y = Approximately = $32.60

Therefore the of the car after 15 years = $32.60

Answer:

7.

This is a complementary angle, which means that the two angles add up to 90 degrees. The two angles, in this case, are b and 52. Thus, we have:

b + 52 = 90

b = 38.

Therefore, b is 38 degrees.

8. This is a supplementary angle, which means that the two angles add up to 180 degrees. There is a right angle in the picture to confuse us, so we can just pretend that that doesn't exist, and just focus on the 180-degree angle (which is the straight line). The two angles shown are b and 117, so we have:

b + 117 = 180

b = 63

Therefore, b is 63 degrees.

9. This is a supplementary angle, which means that the two angles add up to 180 degrees. There is another line in the picture to confuse us, so we can just pretend that the line that is making a triangle (the one opposite of 125 degrees) doesn't exist, and just focus on the 180-degree angle (which is the straight line). The two angles shown are b and 125, so we have:

b + 125 = 180

b = 55

Therefore, b is 55 degrees.

Answer:

$625

$2500

Step-by-step explanation:

tax = percent of tax x income

0.2 x 3125 = 625

amount remaining = income - tax

3125 - 625

Answer:

m∠1 = 70°

Step-by-step explanation:

Step 1

Sum of angles on a straight line = 180°

Hence:

180° - 101°

= 79°

Sum of interior angles in a triangle = 180°

Therefore,

m∠1 = 180° - (79 ° + 31°)

m∠1 = 180° - 110°

m∠1 = 70°

Answer:

It would be a 2/9 chance.

Step-by-step explanation:

So to start, the total amount of marbles is 10, as there's 5 red marbles, 3 green marbles, and 2 blue marbles.

With this, in the first draw, there's a 5/10 chance that a red one will be picked since there's 5 reds of the 10 total.

Since the marbles aren't put back, if a red's chosen in the first draw, it wouldn't be there in the second draw. Therefore in the second draw, there would be 4 reds and 9 in total.

With this, in the second draw, there's a 4/9 chance that a red one will be picked since there's 4 reds of the 9 total.

Now, combine these two probablities by multipliying them and you've got your answer!

5/10 * 4/9 = 20/90 ---> 2/9

Answer:

The answer will be 1.25

Step-by-step explanation:

12 7/12 - 11/1/3 = 1.25

Hope this helps!

Answer:  9 more of her classmates like tacos as compared to her relatives

Step-by-step explanation:

first mutiply 75 x 48 =3600

3600/100=36

Then, 45 x 60=2700

2700/100=27

and substract 36-27=9

thats the answer, hope this helped!

Answer:

The Answer is 20 cake pops are covered with green sprinkles.

Step-by-step explanation:

So if you have 1/2 choclate, 1/3 strawberry, and the rest are green, you first need to convert the Chocolate and the Strawberry into the same fraction. As shown:

Chocolate: 1/2=3/6

Strawberry:1/3=2/6

The rest are Green sprinkles.

So, your equation would be:

Chocolate sprinkles + Strawberry Sprinkles + Green Sprinkles = Total

And their are 5/6 of Chocolate and Strawberry Sprinkles...

That would mean 100 Chocolate and Strawberry Sprinkles!

Because 1/6 of 120 is 20 and multiply that by five and you have 100...

Now that we have that, and we know the rest are green...

we just do 120-100=20

So their you go!

Sorry its long but hope it helps! <3

Answer:

Step-by-step explanation:

the geo. mean is the nth root of the product of n numbers

Here there are two numbers; geo. mean is the square root of their product

g = √(16 * 36)

g = 4 * 6

g = 24

Geometric mean is the mean which is the average of a set of a product.

The geometric mean of the given numbers is 24.

Geometric mean is the mean which is the average of a set of a product.

It can be given as,

[tex](\prod_{i=1}^{n}x_i)^{1/n}=\sqrt[n]{x_1\times x_2\times x_3...........x_n}[/tex]

Here [tex]x_i[/tex] is the values of the average and [tex]n[/tex] is the number of values.

Given information-

The numbers given in the problem is 16 and 36.

The Geometric mean for the number 16 and 36 has to find out.

Use the above formula to find the geometric mean for the number 16 and 36. Thus,

[tex]\prod=\sqrt{16\times36}[/tex]

[tex]\prod=\sqrt{576}\\\prod=24[/tex]

Hence the geometric mean of the given numbers is 24.

Learn more about the geometric mean here;

https://brainly.com/question/47038

Answer: [tex]10.2"[/tex]

Step-by-step explanation:

Given

The dimension of the rectangular box is [tex]2"\times 6"\times8"[/tex]

If the Straw  fits exactly into the box diagonally

So, the length of the longest diagonal of the rectangular box is equal to the length of the straw i.e.

[tex]\Rightarrow l=\sqrt{2^2+6^2+8^2}\\\\\Rightarrow l=\sqrt{4+36+64}\\\\\Rightarrow l=\sqrt{104}\\\Rightarrow l=10.19\approx 10.2"[/tex]

Answer:

3(7-g)=90

You multiply the expression by 3. The difference means to subtract two values. The whole equation equals 90.

Answer:

13.8

Step-by-step explanation:

We can use trigonometry to find the length of DE

Remember these are the trigonometric ratios

Sin = Opposite over Hypotenuse

Cos = Adjacent over Hypotenuse

Tan = Opposite over Adjacent

For ∠FDE we are given its opposite side length ( FE ) and need to find its adjacent angle ( DE )

When working with opposite and adjacent we use the trig ratio tangent

That being said we want to create an equation to solve for (DE) ( Recall that tan = opposite over adjacent. ) ( let DE = x )

so [tex]tan(51)=\frac{17}{x}[/tex]

now we solve for x

Step 1 multiply each side by x

tan(51) * x = x tan (51)

[tex]\frac{17}{x} *x=17[/tex]

now we have x tan (51) = 17

step 2 divide each side by tan (51)

[tex]\frac{xtan(51)}{tan(51)}=x\\\frac{17}{tan(51)}[/tex]

we now have

[tex]x =\frac{17}{tan(51)} \\[/tex]

[tex]tan(51)=1.234897157\\\frac{17}{1.234897157} =13.76632856[/tex]

we're left with x = 13.76632856

Finally we round to the nearest tenth and get that the answer 13.8

Answer:

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

Step-by-step explanation:

Parallel lines are two lines that have the same plane and slope but never intersect.

Answer:

The area and perimeter of a rectangle work with steps shows the complete step-by-step calculation for finding the perimeter, area and diagonal length of the rectangle with the length of 5 in 5 i n and the width of 10 in 10 i n using the perimeter, area and diagonal length formulas.

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

The distribution is symmetric

Answer:

B.  The distribution is not symmetric

Step-by-step explanation:

Answer:

After a quick online search, I've found that the complete question is:

a) Parker paid $4.50 for three pounds of gummy candy. Assuming each pound of gummy candy costs  the same amount, complete the table of values representing the cost of gummy candy in pounds.

Then we want to graph the points, and then comes our question:

c) On the same day, Parker’s friend, Peggy, was charged $5 for 1 1/2 lb. of gummy candy. Explain in terms of the graph why this must be a mistake.

So first, we know that this is a proportional relationship (each pound of candy costs the same)

And 0 pounds of candy should cost $0.

Then the relation between y (price) and x (number of lb) is:

y = k*lb

where k is the cost per lb.

Knowing that Parker paid $4.50 for three pounds of gummy candy, the relation is:

$4.50 = k*3lb

($4.50/3lb) = k = $1.50/lb

Then the linear relation is:

y = ($1.50/lb)*x

Now, in this question we can see that Parker's friend was charged $5 for ( 1 and 1/2) lb of candy.

If we replace those values in the equation, we get:

$5 = ($1.50/lb)*(1 + 1/2)lb = $2.25

This equation is false, then, in terms of the graph, the point ( (1 and 1/2)lb, $5) does not belong on the graph that you found in the previous points.

Answer:

A. y = 3x + 3

Step-by-step explanation:

y=mx+b

b is the y-intercept (0,y) so lets start with that

We can see that the line touches 3 on the y intercept to get (0,3) meaning b=3

For the slope (m) I like to count rise over run so if we start from (0,3) and go up 3 over 1 we get 3/1 or 3 for m

The whole equation is y=3x+3

Answer:

2 apples.

Step-by-step explanation:

Answer:

She has 2 more apples left!

Step-by-step explanation:

Simple: this is the equation: 5 - 3 = 2!

Answer:

3 gallons

Step-by-step explanation:

area = 15.2 x 25.6 = 389.12 m²

389.12/180 = 2.16

Answer:

f(x)+ g(x) = [tex]-2x^{4} + 6x^{3} +8x^{2} -8x+3[/tex]

Step-by-step explanation:

You just have to add the like terms separately,

5-7 in [tex]x^{4}[/tex]

only 6 in [tex]x^{3}[/tex]

10-2 in[tex]x^{2}[/tex]

-8 in x

and 3 as the constant

Answer:

25.13 or 25.1

Step-by-step explanation:

2 x pi/3.14x4

Answer:

12.6

Step-by-step explanation:

circumference=2πr

=2 x 3.142 x 2

= 12.6 to the nearest tenth

1 1\2. so he had that fraction as all after

Option B is correct, the values of p and q in expression are -3 and 4.\

The given expression is x²+x-12.

This is expressed as (x+p)(x+q)

We have to find the values of p and q.

x²+x-12

Let us factorize the expression:

x²+4x-3x-12

x(x+4)-3(x+4)

(x-3)(x+4)

When we compare this with (x+p)(x+q) we get:

p=-3 and q=4

Hence, the values of p and q in expression are -3 and 4.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ7

Answer:

4.11801913396

Step-by-step explanation:

Heart me pls

Answer:

4/6. out of 1 2 3 4 5 6 only 3 number are even.but it says lands on 1 and the other lands on even. so 3 +1 = 4. sorry if it doesnt make sense

Answer:

the value for x=50

Step-by-step explanation:

180=74+56+x

180=130+x

x=50

Answer:

The answer is C

Hope this helps!

Mark me brainliest if I'm right ;)

Answer:

The true statements are

3/5 is the base

3 is the exponent

(3/5)³ = 3/5 × 3/5 × 3/5

(3/5)³ = 27/125

Step-by-step explanation:

Let a and b be any integer, given the expression;

[tex]a^b[/tex]

a is the base

b is the exponent

Similarly if we have;

[tex]a^3[/tex]

This means we can multiply a in three places as shown;

[tex]a^3 = a \times a \times a[/tex]

Applying this to the given expression

[tex](\frac{3}{5} )^3 = \frac{3}{5} \times \frac{3}{5} \times \frac{3}{5} \\Also\\(\frac{3}{5} )^3 = \frac{3 \times 3 \times 3}{5 \times 5 \times 5} \\(\frac{3}{5} )^3 = \frac{27}{125}[/tex]

The base value will be 3/5 and the exponent is 3

Answer:

N= 5

Step-by-step explanation:

30 ÷ 6 = n

n = 5

30 ÷ 6 = 5

Hope this helps!!