with a 5% sale discount the price of an item is $38 what was the original price​

Answer: x is -2 and y is 4 if needed (-2,4) is the origin form

Step-by-step explanation: first we take side walk one we subtract -3x on both sides then you get 3y=-3x+6 divide both by 3 you get y=-x+2 finally we can substitute. substitute y for x+6 you get x+6 = -x+2 do the inverse of -x on both sides you get 2x+6=2 do the inverse of 6 on both sides you get 2x=-4 divide 2 on both sides you get x=-2. substitute x of  y=-x+2 to y=-(-2)+2 mult  -1 x -2 is 2, 2+2 is four so y= 4 put that together x is -2 and y is 4

Answer:

there would be 8 sides if there are 20 diagonals

Answer:

842 grams

Step-by-step explanation:

[tex]70\frac{1}{6} =\frac{421}{6}[/tex]

[tex]\frac{421}{6} *12\\\\842[/tex]

One cake consists of 421/6 grams of chocolate.

Since Sally wants to give 1 cake to 12 friends, we multiply 421/6 and 12.

To make 12 cakes, she needs 842 grams of chocolate.

Answer:

  cos(x -π/3) = (1/2)cos(x) +(√3/2)sin(x)

Step-by-step explanation:

You want cos(x -π/3) written in terms of sine and cosine.

The formula for the cosine of the difference between two angles is ...

  cos(a -b) = cos(a)cos(b) +sin(a)sin(b)

We have a=x, b=π/3, so the desired function is ...

  cos(x -π/3) = cos(x)cos(π/3) +sin(x)sin(π/3)

We know that ...

so the rewrite is ...

  cos(x -π/3) = (1/2)cos(x) +(√3/2)sin(x)

Answer:

Instantaneous velocity can be equal to average velocity when the acceleration is zero or velocity is constant because in this condition all the instantaneous velocities will be equal to each other and also equal to the average velocity.

Answer:

Step-by-step explanation:

(2x – 3)(5x + 6)

10x2 + 12x - 15x - 18

10x2 - 3x - 18

The product of the given polynomials is 10x² - 3x - 18

A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

The given polynomials are:

(2x – 3)(5x + 6)

By multiplying the two polynomials, we get

10x² + 12x - 15x - 18

10x²- 3x - 18

Hence, 10x²- 3x - 18 is the product of the given polynomials.

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Answer:

8

Step-by-step explanation:

2/ 1/4 = 8

Answer: 8

Step-by-step explanation: 2 / 1/4 = 8

Answer:

3

Step-by-step explanation:

Answer:

The 90% confidence interval for (u1 - u2) is the range from; ( 0.50 - 2.06 )

Step-by-step explanation:

Given the data in the question;  

Adult with No children under 18                    Adult with children under 18

x"₁ = 5.65                                                             x"₂ = 4.37

s₁ = 2.43                                                               s₂ = 1.73

n₁ = 40                                                                  n₂ = 40

with 90% confidence

significance level ∝ = 1 - 90% = 1 - 0.9 = 0.1    

Degree of freedom df = 39

Now, since variance are not equal and are also unknown, we will use 2 sample t-distribution method;

Standard Error: σx"₁ - x"₂ = [tex]\sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} }[/tex]

Critical value = [tex]t_{\alpha /2, df[/tex] = [tex]t_{0.05, df=39[/tex] = 1.645   { from standard normal table }

Now,

Margin of Error = E = [tex]t_{\alpha /2, df[/tex] × [tex]\sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} }[/tex]

we substitute

E = 1.645 × [tex]\sqrt{\frac{2.43^2}{40} + \frac{1.73^2}{40} }[/tex]      

E = 1.645  × √( 0.1476225 + 0.0748225 )

E = 0.7758478

Now, our point difference will be; x"₁ - x"₂ = 5.65 - 4.37 = 1.28

So Limit at 90% confidence interval will be;

x"₁ - x"₂ ±  E

Lower Limit = x"₁ - x"₂ - E = 1.28 - 0.7758478 = 0.50415 ≈ 0.50

Upper Limit = x"₁ - x"₂ + E = 1.28 + 0.7758478 = 2.05584 ≈ 2.06

Therefore, The 90% confidence interval for (u1 - u2) is the range from; ( 0.50 - 2.06 )

Step-by-step explanation:

D

Answer:

A= BH

A=8cm ×2.2 cm

A= 17.6cm²

Answer:

2 hrs and 20 minutes

Step-by-step explanation:

45 + 35 = 80

Answer:

B

Step-by-step explanation:

Cuz I graphed it, and it looked the same

Answer:

[tex]y=x^2+2x-2[/tex]

Step-by-step explanation:

Vertex form is expressed as: [tex]y=a(x-h)^2+k[/tex], and is super useful when analyzing the vertex, which is given to be (h, k).

Standard form is expressed as: [tex]y=ax^2+bx+c[/tex], and is also useful in certain cases.

When converting standard to vertex we have to complete the square to rewrite the equation using a perfect square binomial, which is what really distinguishes the two. Now when we want to convert back into standard form, we simply need to get rid of this perfect square binomial, which we can do by expanding out the perfect square binomial into a trinomial.

So in other words, we want to multiply out the following: [tex](x+1)(x+1)[/tex], which becomes: [tex]x^2+2x+1[/tex] which you can solve by using polynomial multiplication, which is essentially just extending the logic of the distributive property. In general when given two polynomials to multiply, you look at one polynomial, and then multiply it by each term in the other polynomial, now repeat this for each term in the polynomial you were initially looking at. I'll provide a picture to better illustrate this. You can use FOIL if it helps you with multiplying binomials, but remembering how to generally use it, will help you when multiplying polynomials in general.

Now that we've multiplied out the expression, we can substitute it into the equation: [tex]y=x^2+2x+1-3[/tex], now just combine the constants: [tex]y=x^2+2x-2[/tex], and now you've converted it into standard form!

In this question, we're looking for the number Malcom used to scale the two numbers. We can see there's a pattern, 9 is 1/6 of 54 and 40 is 1/6 of 240!

(54 divided by 9 is 6 and 240 divided by 40 is 6!)

therefore, the scale factor must be 6

Answer:

24

Step-by-step explanation:

i did 4x6

4x6=24

the reason i did this is because that is how i do this the rest of the class has their fancy diagrams and are being hyponthageese and not listening to me to find that it is the easiest way to find the answer

Answer:

3 m

Step-by-step explanation:

To geg the answer you need to multiply 1.5 times 2.

Answer:

x=-1 and y=4

Step-by-step explanation:

When you draw a graph you will see point of intersection which is solution

Answer:

The answer is A

Step-by-step explanation:

The shape is a rhombus when plotted on a quardanent plane. The shape is similar to a diamond.

11h+33

30p+15j

4p+8

i feel like im about to die, ur a lil scary

Answer:

center (2, -3)

radius r = 3

Graph c

Step-by-step explanation:

Answer:

Graph A on edge

Step-by-step explanation:

On solving the provided question, we can say that -  f(x) = 3x2 - 6x + 2, and the value of the equation f(x) = +2

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

f(x) = 3x2 - 6x + 2

x = 1

f(x) = +2

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Answer:

-3,950

Step-by-step explanation:

First -5,000(1-0.21)

Then multiply -5,000 x 0.79 = -3,950

Answer:

The answer is -1

Step-by-step explanation:

According to question as both side are equal so it is an isosceles triangle and the value of X is 18.

An isosceles triangle is a triangle with two sides of equal length. Some properties of an isosceles triangle include:

so In this triangle ,

The mid point on horizontal side is given and 5m line cut the mid point of both the sides.

both side are equal as it is an isosceles triangle.

and given in the question,

side/2 =9

and  one side is equal to x.

and both sides are equal,

therefore

side = 9*2 = 18

so the value of x = 18.

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Answer:

top one is dependent

bottom is independent

Step-by-step explanation:

the amount of money you pay is based off of the amount of time on your subscription

Answer:

60 cm cubed I think

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

use the Area formula

L*W*H

3*5*4=60

Answer:

C. iv

Step-by-step explanation:

I calculated it logically