Find the inequality represented by the graph.

Answer:

Step-by-step explanation: they must spend a minimum of $28 per jersey

Answer:

20

Step-by-step explanation:

Yellow, Green, Red, Green, Blue

Yellow, Red, Green, Red, Blue

Yellow, Blue, Red, Blue, Green

Yellow, Blue, Green, Blue, Red

5x4 = 20 because those are all the possible ways with yellow as the first building color, so there are 4 possible ways with yellow being in front, meaning all five of the colors have 4 possible ways of being in front. so 5x4=20

Answer:

84

Step-by-step explanation:

84 cause there will be 108 ways - 24 ways

The distance between the two sailboats is approximately 2,197 feet.

1. Find Distances to Boats:

  - Use the tangent function for each angle of depression to find the distances from the observation deck to each sailboat. For boat 1 (42 degrees), use [tex]\(\tan(42^\circ) = \frac{\text{height}}{\text{distance}}\)[/tex], and for boat 2 (29 degrees), use [tex]\(\tan(29^\circ) = \frac{\text{height}}{\text{distance}}\)[/tex].

2. **Calculate Individual Distances:**

  - For Boat 1: [tex]\( \text{Distance}_{\text{Boat 1}} = \frac{\text{height}}{\tan(42^\circ)} \)[/tex]

  - For Boat 2: [tex]\( \text{Distance}_{\text{Boat 2}} = \frac{\text{height}}{\tan(29^\circ)} \)[/tex]

3. Determine Distance Between Boats:

  - The distance between the two boats is [tex]\( \text{Distance}_{\text{Boat 1}} - \text{Distance}_{\text{Boat 2}} \)[/tex].

4. Final Answer:

  - The final answer is the distance between the two sailboats, which is approximately 2,197 feet.

700 children attended the fair

Solution:

Let "a" be the number of children attended

Let "b" be the number of adults attended

Cost for each children = $ 1.50

Cost for each adult = $ 4

1000 adults attended the fair

b = 1000

One certain day $5050 is collected. Therefore, we frame a equation as:

number of children attended x Cost for each children + number of adults attended x Cost for each adult = 5050

[tex]a \times 1.50 + 1000 \times 4 = 5050\\\\1.5a + 4000 = 5050\\\\1.5a = 5050 - 4000\\\\1.5a = 1050\\\\Divide\ both\ sides\ by\ 1.5\\\\a = 700[/tex]

Thus 700 children attended the fair

Note: Your question is missing some details. After a little research, I am able to find the complete question which is as follows:

If the function f(x) = mx + b has an inverse function, which statement must be true?

a) m=/0

b)  m = 0

c) b=/0

d )  b = 0

Answer:

The value of [tex]m[/tex] cannot be equal to 0. In other words,

[tex]m\:\ne \:0[/tex]

Step-by-step explanation:

Considering the function

[tex]f(x) = mx + b[/tex]

Lets find the inverse of this function.

Suppose

Lets exchange the variables [tex]x[/tex] and [tex]y[/tex] such as

[tex]x=my+b[/tex]

Lets isolate the variable [tex]y[/tex]

[tex]my=x-b[/tex]

[tex]y=\frac{x-b}{m}[/tex]

Suppose

[tex]f\left(x\right)^{-1}=y[/tex]

As

[tex]y=\frac{x-b}{m}[/tex]

So, inverse function is

[tex]f\left(x\right)^{-1}=\frac{x-b}{m}[/tex]

As the denominator [tex]m[/tex] cannot be zero in the inverse function.

Thus, the value of [tex]m[/tex] cannot be equal to 0. In other words,

[tex]m\:\ne \:0[/tex]

Keywords: function, inverse function

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Answer:

a

Step-by-step explanation:

[tex]\text{Hey there!}[/tex]

[tex]\mathsf{The\ slope\ formula\ is: \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\mathsf{y_2=2}\\\mathsf{y_1=6}[/tex]

[tex]\mathsf{x_2=5}\\\mathsf{x_1=3}[/tex]

[tex]\mathsf{Equation: \dfrac{2-6}{5-3}}\\\\\bullet\mathsf{2-6=-4\leftarrow your\ \bf{y}\mathsf{\ value}}\\\\\bullet{\mathsf{5-3=2\leftarrow your\ \bf{x}\ \mathsf{value}}}\\\\\mathsf{New\ equation/answer:\ \dfrac{-4}{2}}\\\\\boxed{\bf{Answer:\mathsf{-2\ or\ \dfrac{-4}{2}}}}[/tex]

[tex]\text{Good luck on your assignment enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

-6 - 11i.

Step-by-step explanation:

(9-7i)–(4i +15)

= 9 - 7i - 4i - 15     Add like terms:

= -6 - 11i.

Answer:

No.

Step-by-step explanation:

4/6 as a decimal is 0.667 whereas 4/2 as a decimal is 2.

;D

Answer:

i) angle 3 is 120°

ii) angle 3 + angle 4  = 180°  as both angles make up a staright line

    ∴  angle 4  = 180° - angle 3  = 180° - 120° = 60°

iii) angle 6 = angle 3  = 120°   as they are opposite interior angles

iv) angle 6 + angle 8  = 180°  as both angles make up a straight line  

   ∴  angle 8  = 180° - angle 6  = 180° - 120° = 60°

Step-by-step explanation:

i) angle 3 is 120°

ii) angle 3 + angle 4  = 180°  as both angles make up a staright line

    ∴  angle 4  = 180° - angle 3  = 180° - 120° = 60°

iii) angle 6 = angle 3  = 120°   as they are opposite interior angles

iv) angle 6 + angle 8  = 180°  as both angles make up a straight line  

   ∴  angle 8  = 180° - angle 6  = 180° - 120° = 60°

Answer:

24 hours

24 hours is the solution to 300=10(2)^t/15

After 24 hours the scientist expect to have 300 bacteria cells.

Given :

the number of cells to be given by the formula, where t is the number of hours since the experiment started.

[tex]C=100(2)^{\frac{t}{15} }[/tex]

't' represents the time taken for the cells to grow.

we need to find out the time taken to have 300 bacteria cells.

So, we replace C with 300 and solve for t

[tex]C=100(2)^{\frac{t}{15} }\\300=100(2)^{\frac{t}{15} }\\\frac{100\cdot \:2^{\frac{t}{15}}}{100}=\frac{300}{100}\\2^{\frac{t}{15}}=3\\\frac{t}{15}\ln \left(2\right)=\ln \left(3\right)\\t=\frac{15\ln \left(3\right)}{\ln \left(2\right)}\\t=23.77443[/tex]

So, it takes 24 hours to have 300 bacteria cells.

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The value of x in the diagram given is : 7

What are Alternate Angles ?

These angles are located on the inner side of the parallel lines and on opposite sides of the transversal. Alternate angles are equal.

To solve, equate both values;

4x - 5 = 2x + 9

4x - 2x = 9 + 5

2x = 14

x = 14 / 2

x = 7

The value of x is 7

Answer:

the correct answer is B

Answer: b

i just wrote it down on paper and used a calculator to reassure.

Answer Option C

Step-by-step explanation:please see attachment for explanation

Answer:

C

Step-by-step explanation:

Each element in B is subtracted from the corresponding element in A, that is

A - B

= [tex]\left[\begin{array}{ccc}3-4&-7-(-1)\\6-0&1-8\\-8-(-5)&5-3\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}-1&-6\\6&-7\\-3&2\end{array}\right][/tex] → C

Answer:

yes.

Step-by-step explanation:

Answer:

a. a side length is (a+8)

b. a=9. (9+8)= 17

17×4= 68 is the perimeter

[tex]y = \frac{-8}{3}x + 10[/tex] is the equation in slope intercept form

Solution:

Given points are (0, 10) and (3, 2)

We have to find the slope intercept form

Let us first find the slope of line

The slope of line is given as:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Here,

[tex](x_1, y_1) = (0, 10)\\\\(x_2, y_2) =(3,2)[/tex]

Substituting the values we get,

[tex]m = \frac{2-10}{3-0}\\\\m = \frac{-8}{3}[/tex]

The equation of line in slope intercept form is given as:

y = mx + c ------- eqn 1

Where, "m" is the slope of line and "c" is the y intercept

Substitute [tex]m = \frac{-8}{3}[/tex] and (x , y) = (0, 10) in eqn 1

[tex]10 = \frac{-8}{3} \times 0 + c\\\\c = 10[/tex]

[tex]Substitute\ m = \frac{-8}{3}\ and\ c = 10\ in\ eqn\ 1[/tex]

[tex]y= \frac{-8}{3}x + 10[/tex]

Thus the equation of line in slope intercept form is found

The solution to the given inequality is [tex]x<-\frac{20}{9}[/tex].

Step-by-step explanation:

Given inequality is;

-45x+12<112

For solving the inequality, we will subtraction 12 from both sides in step 1;

[tex]-45x+12-12<112-12\\-45x<100[/tex]

Now, we will divide both sides by -45

[tex]\frac{-45x}{-45}<\frac{100}{-45}\\\\x<-\frac{100}{45}\\\\x<-\frac{20}{5}[/tex]

The solution to the given inequality is [tex]x<-\frac{20}{9}[/tex].

Keywords: inequality, division

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(1) ∠ABC = 65°, ∠DBE = 65°, ∠CBE = 115°, ∠ABD = 115°

(2) ∠ABC = 62°, ∠DBE = 62°, ∠CBE = 118°, ∠ABD = 118°

Solution:

(1) In the given image ABC and DBE are vertical angles.

Vertical angle theorem:

If two angles are vertical then they are congruent.

⇒ ∠ABC = ∠DBE

⇒ 3x° + 38° = 5x° + 20°

Arrange like terms one side.

⇒ 38° – 20° = 5x° – 3x°

⇒ 18° = 2x°

⇒ x° = 9°

∠ABC = 3(9°) + 38° = 65°

∠DBE = 5(9°) + 20° = 65°

Adjacent angles in a straight line = 180°

⇒ ∠ABC + ∠CBE = 180°

⇒ 65° + ∠CBE = 180°

⇒ ∠CBE = 115°

∠ABD and ∠CBE are vertical angles.

∠ABD = 115°

(2) In the given image ABC and DBE are vertical angles.

⇒ ∠ABC = ∠DBE

⇒ 4x° + 2° = 5x° – 13°

Arrange like terms one side.

⇒ 13° + 2° = 5x° – 4x°

⇒ 15° = x°

∠ABC = (4(15°) + 2°) = 62°

∠DBE = 5(15°) – 13° = 62°

Adjacent angles in a straight line = 180°

⇒ ∠ABC + ∠CBE = 180°

⇒ 62° + ∠CBE = 180°

⇒ ∠CBE = 118°

∠ABD and ∠CBE are vertical angles.

∠ABD = 118°

Answer:

23.5

Step-by-step explanation:

[tex]\text{Hey there!}[/tex]

[tex]\text{In order for you to solve for you solve for the equation, you have to do}\\\text{PEMDAS}[/tex]

[tex]\text{PEMDAS means}\downarrow\\\text{Parentheses}\\\text{Exponents}\\\text{Multiplication}\\\text{Division}\\\text{Addition}\\\text{Subtraction}[/tex]

[tex]\text{In this equation we have}\downarrow\\\bullet\text{Multiplication}\\\bullet\text{Division}\\\bullet\text{Addition}[/tex]

[tex]\bf{15\times18+\dfrac{12}{3} +9}\\\\\\\bf{15\times18=270}\\\\\\\bf{\dfrac{12}{3} = 4}\\\\\\\bf{270+4+9}\\\\\\\bf{270+4=270}\\\\\\\bf{274+9=answer}\\\\\\\boxed{\bf{Answer}:283}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

5 4 3 2 1

Step-by-step explanation:

is this what ur asking

The answer is 3. Counting backwards (In this case) would be 5, 4, 3, 2, 1. After 4, when counting backwards, comes the Number 3. So, your answer is 3.

7-3=4 feet per hour

50 : 4 = 12,5  hour

The time taken by frog to get out of the well will be equal to [tex]22\frac{6}{7}[/tex] hours.

It is given that a well has a depth of 50 feet and a frog can climb 7 feet/hour but then takes a rest of 1 hour and slips by 3 feet.

We have to find out what time will it take for frog to get out of the well ?

What is the unitary method?

The unitary method is a method in which we find the value of a unit and then the value of the required number of units.

As per the question ;

The frog starts from the bottom of the well.

It is given that the well has a depth of 50 feet.

Frog can climb 7 feet/hour but then takes a rest of 1 hour and slips by 3 feet.

Let's check distance covered by frog in 2 hours ;

1st hour = 7 feet

2nd hour = 7 - 3 = 4 feet

So ,

In 2 hours frog covers a distance of 4 feet.

Hence ,

To climb 44 feet or 4 × 11 feet , the frog will take 2 × 11 or 22 hours

and

To climb rest of 6 feet distance , the frog would take [tex]\frac{6}{7}[/tex] of an hour.

Also ;

It is needed to be mentioned that once the frog reaches at the top of well it won't slip back.

So ,

The total time taken by frog to climb 50 feet deep well will be ;

= [tex]22\frac{6}{7}[/tex] hours

Thus , the time taken by frog to get out of the well will be equal to [tex]22\frac{6}{7}[/tex] hours.

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Answer:

y = 4x + 36

Step-by-step explanation:

To find the equation in slope-intercept form, rearrange to isolate "y".

Slope-intercept form is y = mx + b. The variables mean:

"x" and "y" - points that are on the line, or solutions.

"m" - the slope, how steep the line is

"b" - the y-intercept, when the line touches the y-axis

Isolate "y".

8x - 2y = -72

8x - 8x - 2y = -72 - 8x        Subtract 8x from both sides.

-2y = -72 - 8x        Left side : 8x - 8x = 0

[tex]\frac{-2}{-2}y = \frac{-72}{-2} - \frac{8}{-2}x[/tex]        Divide both sides by -2

y = 36 - (-4)x        Simplify the fractions

y = 36 + 4x        Remember two negatives make a positive, add 4x.

y = 4x + 36        Put "4x" in front of 36. It looks like y = mx + b now.

"m" would be 4.

"b" would be 36.

The rate of cheese is $9.5 per kilogram which does not match Lydia's estimation.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

Lydia decides to provide cheddar cheese for the competition. She buys 4.2 kilograms for 39.90.

She estimates the cost of 1 kilogram of cheese to be $1.

Let's check the rate of cheese. Then we have

Rate = $39.90 / 4.2

Rate = $9.5 per kilogram

The rate of cheese is $9.5 per kilogram which does not match Lydia's estimation.

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In an isosceles triangle with a base of 7 units, the two other sides have to be greater than 3.5 units but less than 7 units due to the triangle inequality theorem, which means each side must always be shorter than the sum of the other two sides.

An isosceles triangle is a triangle with two sides of equal length. If the base of the triangle is 7 units, the lengths of the other sides could be any value greater than 3.5 units but less than 7 units. This principle is rooted in the triangle inequality theorem which states that any side of a triangle always needs to be shorter than the sum of the other two sides.

So in this case, since the base is 7 units, the other two equal sides (let's call them 'a' and 'b') could be, for example, 5 units each, but don't forget they must fulfill two conditions: firstly, 'a' + 'b' > 7  (which is true if both 'a' and 'b' are more than 3.5 units), and secondly, 'a' + 7 > 'b' as well as 'b' + 7 > 'a' (which are true as long as 'a' and 'b' are less than 7 units). Consequently, both 'a' and 'b' could be a range of lengths, but they must be greater than 3.5 units and less than 7 units in order to ensure that the triangle inequality theorem is respected.

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To figure out which value of y makes this true, plug in each option:

y = 8

25 - y < 15       Plug in 8 for y

25 - 8 < 15

17 < 15      This is false because 17 is not less than 15

y = 9

25 - y < 15     Plug in 9 for y

25 - 9 < 15

16 < 15     This is false because 16 is not less than 15

y = 10

25 - y < 15       Plug in 10 for y

25 - 10 < 15

15 < 15    This is false because 15 can't be less than itself (15)

y = 11

25 - y < 15     Plug in 11 for y

25 - 11 < 15

14 < 15       This is true because 14 is less than 15

Your answer is D

Lee sold 60 magazine

Step-by-step explanation:

Terrence and Lee were selling magazines for a charity

We need to find how many magazines Lee sold

Assume that Lee sold x magazines

∵ Terrance sold 30% more than Lee in the first week

∵ Lee sold x magazines in the first week

- Find 30% of x and add it to x to find how many magazines

  Terrance sold

∵ Terrance sold = 30% × x + x

∴ Terrance sold = [tex]\frac{30}{100}[/tex] × x + x = 0.3 x + x

∴ Terrance sold = 1.3 x magazines in the first week

∵ Terrance sold 12 magazines in the second week

- Add 1.3 x to 12 to find the number of magazines that Terrence

  sold in the two weeks

∴ Terrence sold 1.3 x + 12 magazines in the two weeks

∵ Lee did not sell any in the next week

∴ Lee sold x magazines in the two weeks

∵ Terrance sold 50% more than Lee by the end of the 2nd week

- Equate 1.3 x + 12 by the sum of x and 50% of x

∴ 1.3 x + 12 = 50% × x + x

∵ 50% × x = [tex]\frac{50}{100}[/tex] × x = 0.5 x

∴ 1.3 x + 12 = 0.5 x + x

- Add the like terms in the right hand side

∴ 1.3 x + 12 = 1.5 x

- Subtract 1.3 x from both sides

∴ 12 = 0.2 x

- Divide both sides by 0.2

∴ 60 = x

Lee sold 60 magazine

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Answer:

288

Step-by-step explanation:

You multiply the number of cups by 8 to get how many ounces the cup(s) are.

36 times 8= 288

Answer:

10% of 60 means (10 X 60)/100 so the answer is 6. Similarly 5% of 60 means (5 X 60)/100 , So the Answer is 3.

Step-by-step explanation:

Answer:

Step-by-step explanation: