A number x increased by 4 is less than or equal to 27.

If the price was reduced by $2.19, the original price of the scarf would be $2.19 + $8.40 which is $10.59

Answer:

The original price of the scarf was $10.59.

Step-by-step explanation:

"The price of a scarf is reduced by 2.19. The price is now 8.40."

Let X be the original price of the scarf.

That can be written as an equation like this:

x - 2.19 = 8.40

Now, just solve for x. Add 2.19 to both sides:

x = 10.59

The original price of the scarf was $10.59.

Answer:

5

Step-by-step explanation:

22-2x ... (equation-1)

(x=-5)

Substituting the value of x in equation 1

22-2(x-5)

20(x-5)

20x-100

20x=100

x=100/20

x=5

Hope it helps

Answer: I think it would have to be c) Sublimation

Answer:

10

Step-by-step explanation:

4 times 3 = 12

12-2=10

Answer:

B minor axis..................:)

Answer:

9a + 3b + 6c

Step-by-step explanation:

4a-6b+9c + 5a+9b-3c

4a + (-6b) + 9c + 5a + 9b + (-3c)

(4a + 5a) + (-6b+9b) + (9c-3c)

9a + 3b + 6c

Answer:

the person below is correct I believe

Step-by-step explanation:

hope this helped have a good rest of your night :)❤

Check the picture below.

[tex]\begin{cases} L^2+w^2=50^2\\ Lw = 1200\\[-0.5em] \hrulefill\\ L^2+w^2=2500\\ L=\sqrt{2500-w^2} \end{cases}\qquad \stackrel{\textit{substituting on the 2nd equation}}{\sqrt{2500-w^2}~w=1200} \\\\\\ \stackrel{\textit{squaring both sides}}{w^2(2500-w^2) = 1200^2}\implies 2500w^2-w^4=1440000 \\\\\\ 0=w^4-2500w^2+1440000\implies 0=\stackrel{\textit{tis a quadratic}}{(w^2)^2-2500w^2+1440000}[/tex]

[tex]0=(w^2-900)(w^2-1600)\implies \begin{cases} 0=w^2-900\\ 900=w^2\\ \sqrt{900}=w\\ \boxed{30=w}\\[-0.5em] \hrulefill\\ 0=w^2-1600\\ 1600=w^2\\ \sqrt{1600}=w\\ \boxed{40=w} \end{cases} \\\\\\ \stackrel{\textit{we know that}}{L = \sqrt{2500 - w^2}}\implies \begin{cases} L=\sqrt{2500-30^2}\\ \boxed{L=40}\\[-0.5em] \hrulefill\\ L=\sqrt{2500-40^2}\\ \boxed{L = 30} \end{cases}[/tex]

The length of the given TV is 40 inches and width of the given TV is 30 inches.

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

The area of rectangular shape TV is 1,200 square inches.

The TV is 50".

Now, L²+W²=50² ----------(I)

L×W=1200 ----------(II)

L²+W²=2500

⇒ L²=2500-W²

⇒ L=√(2500-W²)

Substitute L=1200/W in L=√(2500-W²), we get

1200/W=√(2500-W²)

Squaring on both the sides we get

1440000/W² =2500-W²

⇒ 1440000=2500W²-[tex]W^4[/tex]

⇒ [tex]W^4[/tex]-2500W²+1440000=0

⇒ (W²)²-2500W²+1440000=0

⇒ (W²)²-900W²-1600W²+1440000=0

⇒ W²(W²-900)-1600(W²-1600)=0

⇒ (W²-1600)(W²-900)=0

⇒ W²-1600=0 and W²-900=0

⇒ W²=1600 and W²=900

⇒ W=±40 and W=±30

So, W=40, -40, 30, -30

Length =1200/W =40 or 30

Therefore, the length of the TV is 40 inches and width is 30 inches.

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Answer:

30%

Step-by-step explanation:

Presuming that "survey 3,000" is the total and "900" is the factor who had problems then dividing the total amount by the amount of problems like equal the relative frequency of people that had problems

Math:

Amount of people you had problems / Amount of people who bought the new car.

900 / 3000 = 0.3

Now you need to multiply by 100% (because % in this case is a unit/measurement)

0.3 * 100% = 30%

Answer:

a. ΔMNK =Δ [tex]PRT[/tex]

b. TR=MN

c. [tex]x=7[/tex]

Step-by-step explanation:

I hope this help you

The scale Trent used for his elementary school which has a school yard of 85

meters wide in real life and 102 millimetre wide in drawing  is 51 : 42500

Firstly, let's do the conversion of the units

1 meters = 1000 millimetres

85 meters = ?

cross multiply

length in millimetres = 85 × 1000 = 85000 millimetres

Since the schoolyard width is 85000 millimetres in real life but it's 102 millimetres wide in drawing , the scale will be as follows:

= 102 / 85000

= 51 / 42500

Therefore, the scale is as follows:

51 : 42500

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A scale is chosen to plot the large graphs on smaller paper representing each unit by a supposed unit.

1.2 mm is used to represent 1 meter.

In the scale given the 102 mm is drawn to represent 85 meters.

So dividing the graph line with the original length the scale Trent has used can be found.

102/85= 1.2

This shows that 1.2 mm is used to represent 1 meter.

Multiplying 85 with 1.2 gives 102 .

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Using angle sum property

[tex]\\ \sf\longmapsto 4x+20+3x+10+2x+30=180[/tex]

[tex]\\ \sf\longmapsto 9x+60=180[/tex]

[tex]\\ \sf\longmapsto 9x=120[/tex]

[tex]\\ \sf\longmapsto x=13.2[/tex]

The amount of edging trim needed will be equal to the circumference of the given circle, so it will be 31.4ft

We know that the circumference of a circle of diameter D is given by:

C = 3.14*D

Here, we have a circular garden with a diameter of 10ft, and we want to place edging trim along its circumference, so the amount of edging trim that we need is given by:

C = 3.14*10ft = 31.4 ft

You need 31.4ft of edging trim to surround the garden by placing the trim all along the garden's circumference.

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Answer:

6 apple pies

Step-by-step explanation:

Answer:

let the number be x.

[tex]x + 18 = 159 \\ x = 159 - 18 = 141[/tex]

the number is 141

hope helpful <3

Answer:

24

Step-by-step explanation:

take theL.C.M. of 4,6,8.

4=2×2

6=2×3

8=2×2×2

L.C.M.=2×2×2×3=24

Answer:John has −$2.75

Cheryl has −$3.00

Andrew has as much savings in his account as the amount John owes the bank.

: On a blank paper, draw a number line from −4 to +4. Plot points on the number line to show the account balances of the three children. Label the points using the name of each child. Describe in detail how you created and labeled this number line, and what it looks like in detail. (5 points)

: Determine whether John or Cheryl owes the bank more. Use absolute values and inequalities to write statements that justify your conclusion. (5 points)

Step-by-step explanation:

Answer:

The slope is -2

Step-by-step explanation:

[tex]m = \frac{0 - ( - 4)}{2 - 4 } \\ m = \frac{4}{ - 2 } \\ m = - 2[/tex]

Answer:

this is correct

signs

1 quadrant = (+,+)

2 quadrant = (-,+)

3 quadrant = (-,-)

4 quadrant = (+,-)

Answer:

$76

Step-by-step explanation:

Option D

step by step explanation:

[tex] \sf f(x) = \sqrt[3]{x + 10} \\ \sf y = \sqrt[3]{x + 10} \\ \sf y = \sqrt[3]{y + 10} \\ \sf y = {x}^{3} - 10 \\ \sf {f}^{ - 1} (x) = {x}^{3} - 10[/tex]

The inverse of the given function is represented as f' ( x ) = x³ - 10

A function is a mathematical object that takes an input (or several inputs) and produces an output. The rule of a function describes how the input is transformed to produce the output. It can be written using mathematical notation, words, or a combination of both.

Functions are used in many areas of mathematics, science, engineering, and other fields to model relationships between variables, make predictions, and solve problems.

Given data ,

Let the function be represented as A

Now , the value of A is

Now , the function is depicted as f ( x ) = ∛( x + 10 )    

Simplifying results in

The function's inverse is obtained by swapping the x and y variables.

So ,

y = ∛( x + 10 )

x = ∛( y + 10 )

On solving for y , we get

y = x³ - 10

And , the inverse is f' ( x ) = x³ - 10

The function is therefore f' (x) = x³ - 10.

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Answer:

70 feet

Step-by-step explanation:

35 x 2 = 70

49. [tex]x = \dfrac{1}{a}[/tex] and [tex]y = 3[/tex]

50. [tex]x = \dfrac{1}{2a}[/tex] and [tex]y = \dfrac{1}{b}[/tex]

Step-by-step explanation:

We are going to solve these systems of equations using the elimination method.

49. Given:

[tex]5ax + 4y = 17[/tex] (1)

[tex]\:\:ax + 7y = 22[/tex] (2)

Multiply Eqn(1) by 7 and multiply Eqn(2) by -4 to get

[tex]\:\:35ax + 28y = 119[/tex]

[tex]-4ax - 28y = -88[/tex]

Adding the two equations above, we get

[tex]31ax = 31 \Rightarrow x = \dfrac{1}{a}[/tex]

Substituting this value for a into Eqn(2), we get

[tex]y = 3[/tex]

50. Given:

[tex]4ax + \:\:by = 3[/tex] (3)

[tex]6ax + 5by = 8[/tex] (4)

Multiplying Eqn(3) by -5, we get

[tex]-20ax - 5by = -15[/tex]

[tex]\:\:\:\:\:\:6ax + 5by = \:\:8[/tex]

Adding the two equations above, we get

[tex]-14ax = -7 \Rightarrow x = \dfrac{1}{2a}[/tex]

Plugging in the value of x into Eqn(3), we get the value for y as

[tex]4a(\frac{1}{2a}) + by = 3[/tex]

or

[tex]2 + by = 3 \Rightarrow y = \dfrac{1}{b}[/tex]

Answer:

the correct answer is 8

Step-by-step explanation:

Answer:

5. Is "+"      6. is "-"        7. is "+"               8. is "-"

Step-by-step explanation:

Answer:

x = -2-y/3

Step-by-step explanation:

Answer:

  20.1°

Step-by-step explanation:

Put the given numbers into the given formula and do the arithmetic.

  ∆L = 1050/(60·cos(29.5°)) ≈ 20.1°

The change in longitude is about 20.1 degrees.

__

Additional comments

A degree is 60 minutes: 1° = 60', so 30' = 0.5°.

This formula is accurate when the distance units are nautical miles.

[tex]x=4 , ~y = 6\\\\2(x+y) = 2(4+6) = 2(10) = 20[/tex]

Answer:

C (Top Right)

Step-by-step explanation:

First things first, the line is dotted which makes it one of the answers since it's less than, instead of equal to or less than. Both numbers are positive, the bottom left graph goes into the -x while the top right graph keeps the slope increasing positively by 1/3 + 1.

The boundary line of the inequality y <1/3x+ 1 is represented by the graph C.

Let us find two points on the line.

You can choose any x-values you like and calculate the corresponding y-values using the equation.

When x=0 then y=1.

When x=3, then y=2

Now let us find the graph in which the line passes through (0, 1) and (3, 2).

The boundary line should be dotted because it is less than and doesnot have equal symbol.

When we observe these two criteria's the graph C is the graph for inequality y <1/3x+ 1.

Hence, Graph c correctly shows the boundary line of the inequality y <1/3x+ 1.

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[tex]\huge\green{\tt MathSolution:}[/tex]

C. y < × y < 4