A store sells paint sets. Each paint set costs the same amount. During a sale, the store reduces the price of each paint set by $1.30. Jasmine spends
$16.45 on 5 paint sets at the sale price.
What was the price of 1 paint set before the sale?

Answer:

n = 0

Step-by-step explanation:

6 = 1 - 2n + 5

6 = 6 -2n

0 = -2n

n = 0

The value of n after solving the given equation 6 = 1 - 2n + 5 is the number, n = 0.

Given an equation:

6 = 1 - 2n + 5

It is required to find the value of n.

In order to find the value of n, the variable n has to be isolated to one side of the equation with the constant on the other.

Here, the variable is n.

The equation can be written as:

6 = -2n + 6

Subtract 6 from both sides.

0 = -2n

Now, divide both sides by -2.

0 = n

Hence, the value of n is 0.

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Answer:

B

Step-by-step explanation:

[tex] \sqrt{19} + \frac{7}{2} \: is \: irrational \: \\ \because \: \sqrt{19} \: is \: irrational \: and \: \frac{7}{2} is \: rational \\ adding \: any \: rational \: number \: in \: irrational \: number \\ results \: in \: irrational \: number.[/tex]

Answer:

D. AO

Step-by-step explanation:

The radius can be made with a line from a point in the circumference (end) to the middle.

Point A is on the circumference. Point O is in the middle. So, line segment AO is the radius.

The radius of a circle is a line drawn from the center of the circle to any point on the circumference of the circle.

The radius of the circle are AO, CO and BO.

From the attached diagram of the circle, we have:

[tex]O \to[/tex] center

There are three lines from center O to the circumference of the circle. The three points are: A, C and B.

This means that the radius of the circle are AO, CO and BO.

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Answer:

The answer is 24

Step-by-step explanation:

If the restaurant fee is $7.5 and the price is $14 per pizza, she has $52.5 to spend on the pizzas after we deduct the restaurant fee.

That means she can get 52.5 / 14 = 3.75 pizzas.

I hope this answer helps.

The total slices she can afford is 30 and this can be determined by using the unitary method and forming the linear equation.

Given :

The following steps can be used to determine the total slices she can afford:

Step 1 - Total cost to order one pizza is given by:

= 7.5 + 14

= $21.5

Step 2 - Let the total number of pizzas she can order be 'x'. So, the delivery fee plus the cost of the pizzas under $60 is represented by the equation:

14x + 7.5 = 60

14x = 52.5

x = 3.75

Step 3 - Now, according to the given data if one pizza contains 8 slices then 3.75 pizza contains:

[tex]= 3.75\times 8[/tex]

= 30 slices

The total slices she can afford is 30.

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Answer:

root 50

Step-by-step explanation:

Root 8 = 2root 2root 18 = 3root 2root32 =4root 2common difference = 4root 2 - 3root 2=root2 next term = 5root2 = root50.

Answer:

3 and 5/6

Step-by-step explanation:

First you place the highest number divible by 6.

There is 18 that is divisble by 6.

3 and 5/6

(3(6) + 5)/6

23/6

The quotient as a mixed number 23 divided by 6 is [tex]3\frac{5}{6}[/tex]

The given fraction is 23/6

Twenty three divided by six

Twenty three is the numerator and six is the denominator

23/6 being an improper fraction, it can be further written as a mixed number consisting of a whole and a fractional part.

The quotient of 23 divided by 6 is 3 with a remainder of 5.

Therefore, it can be written as a mixed number as follows:

23 ÷ 6 = 3 remainder 5

23/6 = 3 and 5/6

Hence, the quotient as a mixed number 23 divided by 6 is [tex]3\frac{5}{6}[/tex]

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Answer:

a. 6 and 8.

c. 4 and 7

b. 29 and 30.

d. 17 and 23.

Step-by-step explanation:

Answer:

Height of lamppost = 23.835 ft (Approx)

Step-by-step explanation:

Given:

Man's distance from lamppost = 15 ft

Shadow length = 5 ft

Angle of elevation = 50°

Find:

Height of lamppost

Computation:

Using trigonometry application.

Total base length = 15 ft + 5 ft

Total base length = 20 ft

Tan 50° = Height of lamppost / Total base length

1.19175359 =  Height of lamppost / 20

Height of lamppost = 23.835 ft (Approx)

Answer:

To the nearest foot it is about 24 feet

Answer:

100% - 3.9% leaves 96.1% of its value = 0.961*worth of the previous year.

value at years = 17011*(0.961)^8

= $12374.19 after 8 years

Greetings from Brasil...

Follow the reasoning.

288 ÷ 2 = 144

and 144 its a perfect square (144 = 12²)

It is visible that if we multiply 288 by 1/2, we will obtain a perfect square, but we will do this via a simple equation

288 · X = 144

X = 144 ÷ 288

X = 0,5  ⇔ X = 1/2

Answer:

The amount each took home was 20 unit currency.

Step-by-step explanation:

We are given that Seven apple women, possessing respectively 20, 40, 60, 80, 100, 120, and 140  apples, went to market and sold all their apples at the same price, and each  received the same sum of money.

Formula  : [tex]a \times n + (n - 1)[/tex], [tex](a + b)\cdot n + (n - 2)[/tex], [tex](a + 2 \cdot b) \cdot n + (n - 3)[/tex], [tex](a + 3 \cdot b) \cdot n + (n - 4)[/tex], [tex](a + 4 \cdot b) \cdot n + (n - 5)[/tex], [tex](a + 5 \cdot b) \cdot n + (n - 6)[/tex], [tex](a + 6 \cdot b) \cdot n + (n - 7)[/tex]

[tex]a \cdot n + (n - 1) = 20[/tex]

[tex](a + b) \cdot n + (n - 2)=40[/tex]

[tex](a + 2 \cdot b) \cdot n + (n - 3) = 60[/tex]

[tex](a + 3 \cdot b) \cdot n + (n - 4) = 80[/tex]

[tex](a + 4 \cdot b) \cdot n + (n - 5) = 100[/tex]

[tex](a + 5 \cdot b) \cdot n + (n - 6) = 120[/tex]

[tex](a + 6 \cdot b) \cdot n + (n - 7) = 140[/tex]

On solving :

n = 7, a = 2, b = 3

So,

[tex]2 \times 7 + 6 = 20[/tex]

[tex]5 \times 7 + 5=40[/tex]

[tex]8 \times 7 + 4 = 60[/tex]

[tex]11 \times 7 + 3 = 80[/tex]

[tex]14 \times 7 + 2 = 100[/tex]

[tex]17 \times 7 + 1 = 120[/tex]

Based on market pricing if groups of apples are sold at 1 unit currency for 7, and extras are sold for 3 unit currency per extra 1, we have the amount :

2×1 + 6×3 = 20

5×1 + 5×3=20

8×1 + 4×3 = 20

11×1 +  3×3 = 20

14×1 + 2×3 = 20

17×1 + 1×3 = 20

20×1 = 20

Therefore, the amount each took home was 20 unit currency.

Answer: 3c^2+900

Step-by-step explanation: 30^2 is the only thing that can be simplified

Answer:

The median (half-above and half-below) could not have changed, because "corrected value was still lower than any other salary" does not change the position of that observation (still least) in the sorted list of salaries.

HOPE THIS HELPED < 33

Step-by-step explanation:

Answer:

Step-by-step explanation:

The variables are 'a' and 'b'. The number 3 is a coefficient.

__

The coefficient of 'a' is 1. A coefficient of 1 is rarely shown.

Answer:

Option (C)

Step-by-step explanation:

To determine the population we use the formula,

[tex]P_n=P_0(1+r)^{n}[/tex]

Where [tex]P_n[/tex] = final population

[tex]P_0[/tex] = Initial population

r = percentage growth

Now we substitute these values in the formula,

[tex]7921=7547(1+r)^1[/tex]

[tex]\frac{7921}{7547}=(1+r)[/tex]

r = 1.0496 - 1

r = 0.0496

r = 0.05

Therefore, percentage growth of the population of Stark county is 5%.

Option (C). will be the answer.

Answer:

b

Step-by-step explanation:

Answer:

i have nom idea

Step-by-step explanation:

i have no idea

Hello! Your answer is below... Remember : h = height and v = volume

Answer:

H = 15.35 cm

V = 690.75 m^

Step-by-step explanation:

(H= height, V = volume, ^= square, √ = square root )

1. divide 9/2

=4.5 cm

2. use the pythagorean theorem

H=√16^-4.5^

H=15.35

if your looking for volume

1. use the formula for volume of the pyramid which is:

1/3 x base area x height

or

base area x height /3

2. then you substitute

1/3 x (9)(15) x 15.35

or

(9)(15) x 15.35 /3

V= 690.75 m^

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

:)

Answer:

height =  h = 13.4 cm

volume =  V = 602.8 cm³

Step-by-step explanation:

area of a square base = 15 cm x 9 cm = 135 cm²

slant height of pyramid = 16m

solving height:   (see attached image)

first step is to take the diagonal base:

side of base 15 =  15 / 2 = 7.5cm

side of base 9 = 9 / 2 = 4.5m

diagonal base = sqrt ( 7.5² + 4.5²) = 8.75 cm

therefore

height² = slant height² - diagonal base²

h² = 16² - 8.75²

h = 13.4 cm

solving the volume:

V = 1/3 * area of square base * h

V = 1/3 * 135 * 13.4

V = 602.8 cm³

Answer:

4

Step-by-step explanation:

you would do 20÷5=x

to check it it would be 5x=20

5×4=20

Answer: X=4

Step-by-step explanation:

If your school has 20 clubs, 20 divided by 5 is 4

Answer:

Step-by-step explanation:

( 4x - 2x³ ) + ( 5x³ - 4x + 5)

Remove the parenthesis

That's

4x - 2x³ + 5x³ - 4x + 5

Group like terms

We have

5x³ - 2x³ + 4x - 4x + 5

We have the final answer as

Hope this helps you

Answer:

Answer: The answer is option B.

Step-by-step explanation:

Here,

We have,

[tex] { \sin }^{2} theta \: + {cos}^{2}theta = 1[/tex]

[tex] {cos}^{2} \: theta = 1 - {sin}^{2} \: theta[/tex]

[tex]cos \: theta = \sqrt{1 - { \sin }^{2}theta } [/tex]

So, it's true; and it lies in quadrant 1 and 4.

The reason according to the "CAST" rule cos theta is in 1st and 3rd quadrant cos theta is positive.

Step-by-step explanation:

Since, the hiker are walking at different speeds they meet at a point not in the middle.

Let distance travelled by Hiker A (slower) be x at speed s.

So, distance travelled by Hiker B (faster) is (22 - x) at a speed (s + 1.1) .

[tex]speed \: = \frac{distance}{time} [/tex]

Solving equations 1 and 2, we get :

x = 8.8m and s = 2.2mph

Therefore,

Speed of Hiker A = 2.2 mph

Speed of Hiker A = 2.2 mphSpeed of Hiker B = 3.3 mph

Answer:

Step-by-step explanation:

To find a we use sine

sin ∅ = opposite / hypotenuse

From the question

a is the hypotenuse

17 is the opposite

Substitute the values into the above formula

That's

We have the final answer as

Hope this helps you

Answer:

C. 8^20/2^8

Step-by-step explanation:

(8^5/2²)^4

8^20/2^8

Answer:

c = -5

d = -10

Step-by-step explanation:

A biologist is tracking a bird when it was at A.

Coordinates of point A are (2, 4).

This bird moves from point A to point B.

Coordinates of the point B are (-3, -6).

Vector form of vector represented by [tex]\overrightarrow{AB}=<x_2-x_1, y_2-y_1>[/tex]

By substituting the coordinates of points A and B,

[tex]\overrightarrow{AB}=<(-3-2),(-6-4)>[/tex]

      = < -5, -10 >

[tex]\overrightarrow{AB}=\binom{-5}{-10}[/tex]

By comparing it with the vector form of [cd]

c = -5

d = -10

Answer:

this is an algebraic equation because it has an unknown which is the alphabet

Step-by-step explanation:

-4(-5h-4)=2(10h+8)

-4 will multiply the ones in the bracket beside it

-4*-5h=20h

-4*-4=16

20h+16=

2 will multiply the ones in the bracket beside it

2*10h=20h

2*8=16

20h+16=

so we have 20h+16=20h+16

we take like terms

20h-20h=16-16

h=0

Answer:

123.2 is the answer

Greetings from Brasil...

Here's our problem:

[tex]\large{\frac{12^{3}}{12^{7}}}[/tex]

From potentiation properties:

Mᵃ ÷ Mᵇ = Mᵃ⁻ᵇ

division of power of the same base: I repeat the base and subtract the exponents

So, in our problem

[tex]\large{\frac{12^{3}}{12^{7}}}[/tex] = 12³ ÷ 12⁷

12³ ÷ 12⁴ = 12³⁻⁷

12⁻⁴

We also know about another property: P⁻ⁿ = (1/Pⁿ) so

12⁻⁴ = (1/12⁴)

Answer:

18/100 as a decimal is:

0.18

Hope this helps! （づ￣3￣）づ╭❤～

Step-by-step explanation:

Answer:

0.18

Step-by-step explanation:

18 divided by 100 is 0.18 18 divided by 1000 is 0.018

you move the decimal to the left when you divided a number by ten how many zeros is how many times you move the decimal. every number is a decimal like if you have a number 20 it actually looks like 20. so when you divide it by a 10 or 100 to move the decimal to the left the same number of zeros in 100 so that would be  0.20 hope you understand

Answer:

  see below

Step-by-step explanation:

You would use ...

Answer:

[tex]C = 700+0.22m[/tex]

Domain is [0,500] or [tex]0 \leq m\leq 500[/tex]

Step-by-step explanation:

We are given that:

Cost of cell phone is $700.

Cost per minute for the first 500 calls is $0.22 per minute.

To find:

Function to model total cost of the cell phone bill for the first 500 minutes.

And domain of the function = ?

Solution:

Here, Total Cost is the sum of cost of cell phone, plus the cost of calls.

Total Cost = Cost of cell Phone + Cost of calls

We have the cost of cell phone as $700.

and cost of calls is $0.22 per minute up to 500 minutes.

Let the number of minutes for the calls is m. (m [tex]\leq[/tex] 500)

So, cost for m number of minutes of calls = m [tex]\times[/tex] cost per minute

cost for m number of minutes of calls = [tex]0.22 \times m[/tex]

Let the Total Cost be represented as C.

So, we can write the cost function as:

[tex]C = 700+0.22m \ \{0\leq m\leq500\}[/tex]

Domain of a function is the valid input value to the function for which the output is defined.

Here, the domain is [0, 500] i.e. 0 and 500 are inclusive.

So, the answer is:

[tex]C = 700+0.22m[/tex]

Domain is [0,500] or [tex]0 \leq m\leq 500[/tex]