One evening the Scotts went to the Chalet Restaurant for
dinner. The bill was $67.65. Mr. Scott paid with four $20 bills.
How much change should he have received?

Answer:

x= -1 or x= 5/3

Step-by-step explanation:

3x²–2x=5​

3x²-2x-5=0

(3x+_)(x-_)

(3x-5)(x+1)

(I just use a guess and check method to see what will fill the blanks and let the expression expand to become 3x²–2x=5​)

3x-5=0

3x=5

x= 5/3

x+1

x=-1

x= -1 or x= 5/3

Hope this helps!

Answer:

50 crates

Step-by-step explanation:

First we need to convert 2 tons into pounds; 2 short tons = 4000 pounds, so the greatest number of crates that can be loaded onto the elevator is 4000 Hope this helps >:D

Answer:

No solutions

Step-by-step explanation:

Let's solve your equation step-by-step.

5m−2(m+3)+6/2  

=3m−4/2  

Step 1: Simplify both sides of the equation.

5m−2(m+3)+6/2  

=3m−4/2  

5m+(−2)(m)+(−2)(3)+6/2  

=3m+−2(Distribute)

5m+−2m+−6+3=3m+−2

(5m+−2m)+(−6+3)=3m−2(Combine Like Terms)

3m+−3=3m−2

3m−3=3m−2

Step 2: Subtract 3m from both sides.

3m−3−3m=3m−2−3m

−3=−2

Step 3: Add 3 to both sides.

−3+3=−2+3

0=1

Answer:

There are no solutions

Answer:

No solutions

Step-by-step explanation:

[tex]5m-2(m+3)+\frac{6}{2} =3m-\frac{4}{2}[/tex]

[tex]5m-2m-6+\frac{6}{2} =3m-\frac{4}{2}[/tex]

[tex]5m-2m-6+3 =3m-2[/tex]

[tex]5m-2m-3 =3m-2[/tex]

[tex]3m-3 =3m-2[/tex]

[tex]3m-3+3 =3m-2+3[/tex]

[tex]3m=3m+1[/tex]

[tex]3m-3m =3m- 3m+1[/tex]

0 = 1

No solutions

Answer:

What’s the question

Step-by-step explanation:

Answer:

f(2) = 0 and g(-2) = 0

Step-by-step explanation:

0.8 is the slope of the line M'N'.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

So, the coordinates of M' are (0.82, 0.84) = (1.6, 3.2), and the coordinates of N' are (0.83, 0.85) = (2.4, 4).

Now, we can find the slope of line M'N' using the slope formula:

slope of M'N' = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) = (1.6, 3.2) and (x2, y2) = (2.4, 4).

slope of M'N' = (4 - 3.2) / (2.4 - 1.6)

the slope of M'N' = 0.8

Therefore, the slope of line M'N' is 0.8.

Learn more about Linear equations here:

https://brainly.com/question/11897796

#SPJ7

Answer:

[tex]a^{6}[/tex]

Step-by-step explanation:

Assuming you mean [tex]a^{5}[/tex] × a

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then

[tex]a^{5}[/tex] × a

= [tex]a^{5}[/tex] × [tex]a^{1}[/tex]

= [tex]a^{(5+1)}[/tex]

= [tex]a^{6}[/tex]

Answer:

# of 20cent stamps = 8

Step-by-step explanation:

Let the  number 20cent stamps be = x

Let the number 60 cents stamps be = y

Total number of stamps => 20 = x + y ----------- ( 1 )

Total cost of the stamps = 8.80

That is, 0.20x + 0.60y = 8.80 ------------- ( 2 )

      ( 2 ) => 20x + 60y = 880

            => x + 3y = 44

           =>  x = 44 - 3y

Substitute x in  ( 1 ) => x  +  y = 20

                                 44 - 3y + y = 20

                                     - 2y = 20 - 44

                                     - 2y = - 24

                                       2y = 24

                                       y = 12

Substitute y = 12 in  ( 1 ) => x + y = 20

                                         x + 12 = 20

                                            x = 8

[tex]\sf \bf {\boxed {\mathbb {x\:=\:0.1333}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex](3x + 1)(x - 4) - (x + 2)(x - 3) = (2x + 5)x\\[/tex]

[tex] ➺\: 3x \: (x - 4) + 1 \: (x - 4) - x \: (x - 3) - 2 \: (x - 3) = (2x + 5) \: x\\[/tex]

[tex] ➺\: 3 {x}^{2} - 12x + x - 4 - {x}^{2} + 3x - 2x + 6 = 2 {x}^{2} + 5x\\[/tex]

[tex] ➺\: 2{x}^{2} - 2 {x}^{2} - 10x - 5x + 2= 0\\[/tex]

[tex] ➺\: - 15x = - 2\\[/tex]

[tex]➺ \: x = \frac{ - 2}{ - 15} \\[/tex]

[tex]➺ \: x = \frac{2}{15}\\ [/tex]

[tex] ➺\: x = 0.1333[/tex]

[tex]\huge\bf\purple{*Mystique 35♡༉}[/tex]

Answer:

I'm not sure what you mean by "O A. 3 O B. v O C. VE OD. 6", if that's just options for answers or something, But the side length opposite of the 60° angle would be 3.

Answer:

x = 17

Step-by-step explanation:

(5x-23) + (7x-1) = 180

12x - 24 = 180

12x = 204

x = 17

Answer:

x = 17

Step-by-step explanation:

The 2 given angles are same- side interior angles and sum to 180° , then

7x - 1 + 5x - 23 = 180

12x - 24 = 180 ( add 24 to both sides )

12x = 204 ( divide both sides by 12 )

x = 17

Answer:

[tex]y_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]y_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]

[tex]x_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]x_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]

Step-by-step explanation:

Let be x the first number and y the second number.

So we have:

[tex]x+y=-9[/tex] (1)

[tex]x*y=-30[/tex] (2)

Solve x from equation 1 and put it into equation 2

[tex]x=-9-y[/tex]

[tex](-9-y)*y=-30[/tex]

[tex]-9y-y^{2}=-30[/tex]

[tex]y^{2}+9y-30=0[/tex]

Solving this quadratic equation and put it on the equation (1) the solutions will be:

[tex]y_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]y_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]

[tex]x_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]x_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]

I hope it helps you!

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

Explanation:

The overall plank is 33 inches long. Subtract 2 copies of 2 inches off to represent those left and right 2 inches of space at each end.

33 - 2*2 = 33 - 4 = 29

So we have 29 inches to work with.

There are 4 plaques to hang up, and each is 5 inches wide. So that accounts for 4*5 = 20 inches of space just for the plaques themselves. We have 29-20 = 9 inches left for the gaps between plaques.

Since we have 4 plaques, there are 4-1 = 3 gaps between the adjacent plaques. The gap width is 9/3 = 3 inches.

See the diagram below. The values in black are the widths of each championship (5 inches each). The values in red are the gaps either between the plaques or between the plaque and the edge of the plank.

As a check, the values in that diagram should add to 33.

2+5+3+5+3+5+3+5+2 = 33

So the answer is confirmed.

Answer:

3.78 × [tex]10^{2}[/tex] = 378

Step-by-step explanation:

Answer:

The answer is 11.8 m

Step-by-step explanation:

Hey Mate,

the volume of a cuboid is = whl....so the volume of it is the capacity of the tank

so 3 x 1.8 x 2.2 = 11.88 m is the answer

Answer:

10

The mean would increase after the outlier is removed

Step-by-step explanation:

An outlier in a dataset is a number that differs significantly from the other data in the set.

In this question, 10 is the number that differs significantly from the other data in the set. Thus, it is the outlier.

Mean = sum of the numbers / total number

Mean including the outlier =  

(93+ 82  + 10  + 61  + 99  + 89  + 84  + 95  + 75  + 98) / 10 = 78.6

Mean without the outlier =

(93+ 82   + 61  + 99  + 89  + 84  + 95  + 75  + 98) / 9 = 86.2

the mean increased after the outlier was removed

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

Explanation:

To get the unit cost, we divide the total cost over the number of pounds.

We can do this for any row

You don't need to show all four row calculations. You can simply pick one row.

This tells us that each pound costs $1.75

Put another way: the price is $1.75 per pound

Answer:

a) Número siguiente = Número anterior * 2

b) Número siguiente = Número anterior + 2

c) Número siguiente = Número anterior + (n + 1)

Step-by-step explanation:

a) Para la secuencia 2,4,8,16,32,64, ....

El siguiente número es dos veces el número anterior.

Por ejemplo, 4 = 2 * 2, 8 = 4 * 2, 16 = 8 * 2 etc.

b) Para la secuencia 1,3,5,7,9, ....

El siguiente número es igual al número anterior + 2

Por ejemplo, 3 = 1 + 2, 5 = 3 + 2, 7 = 5 + 2 etc.

c) Para la secuencia1,3, 6,10,15,21,28,36,45

La diferencia entre los números aumenta en +1.

3-1 = 2

6-3 = 3

10-6 = 4

15-10 = 5

21-15 = 6

28-21 = 7

Answer:

Option B

Step-by-step explanation:

By using geometric mean theorem in the given right angle triangle RST,

[tex]\frac{RT}{ST}=\frac{ST}{VT}[/tex]

[tex]\frac{RV+TV}{ST}=\frac{ST}{TV}[/tex]

[tex]\frac{4.1+10.2}{ST}=\frac{ST}{10.2}[/tex]

ST² = 10.2 × 14.3

ST = [tex]\sqrt{145.86}[/tex]

ST = 12.077

ST ≈ 12.1

Therefore, Option B will be the correct option.

Answer:

first one

Step-by-step explanation:

a + b = c

subtract a from both sides

b = c - a

or

c - a = b

[tex]\longrightarrow{\green{ a. \: c - a = b }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]a + b = c[/tex]

[tex]⇢ b = c - a[/tex]

[tex]⇢ c - a = b[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

100 is answer for math picture

Answer: 80

Step-by-step explanation:

180-100 = 80, y=80

Answer:

½

Step-by-step explanation:

the scale factor of dilation = 6/12 = ½

Answer:

a) x^2 + y^2

b) 9-xy

Step-by-step explanation:

Here, we want to write the algebraic statements as expressions;

a) The sum of the squares of x and y

The square of x is x^2

The square of y is y^2

The sum of the squares is x^2 + y^2

ii) Product of x and y subtracted from 9

The product of x and y is x * y = xy

Subtracting these from 9, we have;

9-xy

Answer:

[tex]{ \bf{perimeter = 2(length + width}} \\ \\ { \tt{28 = 2((x + 2) + (x + 6))}} \\ \\ 14 = 2x + 8 \\ 2x = 6 \\ { \tt{x = 3}}[/tex]

x = 3

Perimeter of rectangle = 2 ( l + b )

Where, we have

substitute the values

28 cm = 2 ( ( x + 2) + ( x + 6 ))

combine like terms

distributing 2 through parantheses

subtract 16 from both side

divide both side by 4

Answer:

[tex]g(x) = (x - 2)^2 + 1[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2[/tex]

Required

Determine g(x)

f(x) represents the parent function. And from the graph, we have:

[tex]f(x) = x^2[/tex]

f(x) is first shifted 2 units right.

The rule is:

[tex]f'(x) = f(x - 2)[/tex]

So, we have:

[tex]f'(x) = (x - 2)^2[/tex]

Next, f'(x) is shifted 1 unit up to give g(x), the blue graph.

The rule to this is:

[tex]g(x) = f'(x) + 1[/tex]

[tex]g(x) = (x - 2)^2 + 1[/tex]

Answer:

ok so if they are congreant that mean the

x=38

Answer:

38

Step-by-step explanation:

Because both x and the 38° can create a linear pair with the same angle, they must be equal. Linear pairs are equal to 180°

Name the bottom angle C.

X + C = 180   (linear pair)

38 + C = 180 (linear pair)

X + C = 38 + C Subtract C from both sides

X = 38

Answer: 36%

Step-by-step explanation:

Since the price last week, was 4 boxes for $5. Therefore, the price per box will be:

= $5/4

= $1.25 per box

This week they mark a new price at 5 boxes for $4. The price per box will be:

= $4/5

= $0.8 per box

The percent decrease in the price per box this week will be:

= (1.25 - 0.80)/1.25 × 100

= 0.45/1.25 × 100

= 36%

The Percentage decrease is 36%

( 3 × 5 ) + ( 2 × 4 ) =

15 + 8 = $ 23

Given:

The inequalities are:

[tex]-5x<-3[/tex] or [tex]2x<-8[/tex]

To find:

The solution for the given inequalities and graph the solution.

Solution:

We have,

[tex]-5x<-3[/tex] or [tex]2x<-8[/tex]

Solve the above inequalities separately.

[tex]-5x<-3[/tex]

Divide both sides by -5.

[tex]x>\dfrac{-3}{-5}[/tex]

[tex]x>\dfrac{3}{5}[/tex]             ...(i)

And,

[tex]2x<-8[/tex]

Divide both sides by 2.

[tex]x<\dfrac{-8}{2}[/tex]

[tex]x<-4[/tex]                       ...(ii)

From (i) and (ii). we get

[tex]x<-4[/tex] or [tex]x>\dfrac{3}{5}[/tex]

The interval notation of the solution is [tex](-\infty,-4)\cup \left(\dfrac{3}{5},\infty\right)[/tex].

The graph of the solution is shown below.

Answer:

Step-by-step explanation:

x