an object travels along a horizontal straight path at a constant rate the object travels 1/20 of the length of the path in 3/4 seconds at that rate how many seconds does it take the object to travel the entire length of the path​

Answer: [tex]x=26[/tex]

Step-by-step explanation:

When parallel lines are cut by a transversal several angles are formed.

A pair of non-adjacent angles located outside the parallel lines and on opposite sides of the transversal are called  "Alternate Exterior angles".

By definition, they are congruent, which means that they have equal measure.

In this case, you can identify that [tex](5x+7)\°[/tex] and [tex](8x-71)\°[/tex] are Altermate Exterior angles.

Then, you can write the following equation:

[tex]5x+7=8x-71[/tex]

Finally, you must solve for "x" in order to find its value. This is:

[tex]7+71=8x-5x\\\\78=3x\\\\x=26[/tex]

Hey!

I'm also getting 11.4, do you think you're wrong or is it saying so? I have also calculated the answer 11.4.

I believe you aren't wrong, but we will make sure.

12 Divided by 100 times 95, you get 11.4, I believe you're correct!

Please give me any updates and let me know if you need any extra help.

Answer:

Each person buys there own so there are elderly costs.

Step-by-step explanation:

A.

x ≤ 5

B.

0 ≤ x ≤ 5

C.

0 ≤ x ≤ 18

D.

x ≤ 18

Answer:

The answer is option C.

0 <= x <= 18

Step-by-step explanation:

To find the domain of the relationship in respect to x, we need to find the value of x.

Since;

youth tickets = $5 and

Adult tickets = $9.

Purchased x youth tickets and y adult tickets cost $90

Purchased x youth tickets and y adult tickets = 5x + 9y = 90

5x = 90 - 9y

to find x we divide both side by 5

x = (90-9y)/5

x = 90/5 - 9y/5

x = 18 - 9y/5

Note that in this equation x and y can only be positive value because that are representing number of legible item (ticket)

Therefore:

X can only fall between 0 and 18.

0 <= x <= 18

A. side AB = 38/3 units B.m∠VYX =77°

Step-by-step explanation:

A.A rhombus has its four sides equal. This means side AB=side CD

Given that AB=5x+1 and CD=2x+8  equate the two sides to find value of x as;

5x+1=2x+8

collect like terms

5x-2x=8-1

3x=7

x=7/3

side AB = 5x+1

AB= 5*7/3 +1

AB=35/3 +1

AB=35/3 +3/3 = 38/3

B.

The diagonals of a rhombus intersect to form 90°

Hence

(3n²-0.75)°=90°

3n²=90°+ 0.75°

3n² =90.75° -----dividing by 3 both sides

n² =90.75°/3 =30.25°

n²=30.25°

n=√30.25°

n=5.5°

so angle Z =90°

and angle ZVW =(9n+2)°

∠ZVW = (9*5.5 +2 )° =51.5°

In a rhombus all four sides are equal, thus side VY = YX.This means triangle VYX is an isosceles triangle.

Hence angle ∠YVZ=∠WVZ =51.5°, and because VYX is an isosceles triangle then ∠YXV =51.5° so

∠VYX= 180°-(51.5°+51.5°)

          =180°-103°=77°

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Answer: ALL THE AMOUNT SPEND ARE 3 1$ bills

1. Amount spent: 6.98

Change:  2- penny

2. Amount Spent: 6.94

Change:   Penny  Nickel

3. Amount Spent: 6.9

Change: 2 Nickels

4. Amount Spent: 6.89

Change: Penny, Dime

5. Amount Spent: 6.85

Change: Nickel Dime

6. Amount Spent: 6.74

Change: Penny Quarter

7. Amount Spent: 6.50

Change: 2 Quarters

8. Amount Spent: 6.80

Change: Nickel Nickel

9. Amount Spent: 6.70

Change: Quarter Dime

10. Amount Spent: 6.65

Change: Quarter Nickel

Step-by-step explanation:

Pweeeese gimme brainliest answer

To find out how much you spent, subtract the change given from the amount your parents gave you.

To find out how much you spent, you need to subtract the change given from the amount your parents gave you. Since the cashier gave you three bills and two coins as change, the total value of the change given is equal to the amount you spent. Since you received no dollar coins and no half-dollars, the change given consists of only bills and coins of smaller denominations. Therefore, the amount you spent is equal to the value of the change given.

x is 7.5 hours

Step-by-step explanation:

Ben, Tim, and Sam have to do a certain job

We need to find x

∵ Ben can finish the job in 5 hours

∴ The rate of Ben = [tex]\frac{1}{5}[/tex]

∵ Tim can finish the job in 6 hours

∴ The rate of Tim = [tex]\frac{1}{6}[/tex]

∵ Sam can finish the job in x hours

∴ The rate of Sam = [tex]\frac{1}{x}[/tex]

They will working together to finish the job in two hours, that means the sum of their rate is equal to 1/2

∵ They can finish the job in 2 hours if they work together

∴ [tex]\frac{1}{5}+\frac{1}{6}+\frac{1}{x}=\frac{1}{2}[/tex]

To add the fractions find the LCM for all denominators to make all fractions with same denominators

∵ The LCM of 5, 6 ans x is (5 × 6 × x) = 30 x,

- Divide it by each denominator to find the new numerators

∵ 30 x ÷ 5 = 6 x , 30 x ÷ 6 = 5 x , 30 x ÷ x = 30

- Change all the denominators to 30 x and then write the new

   numerators of each fraction

∴ [tex]\frac{6x}{30x}+\frac{5x}{30x}+\frac{30}{30x}=\frac{1}{2}[/tex]

Add the numerators and put the sum over 30 x

∵ [tex]\frac{11x+30}{30x}=\frac{1}{2}[/tex]

- By using cross multiplication

∴ 2(11 x + 30) = 1(30 x)

- Simplify the both sides

∴ 22 x + 60 = 30 x

- Subtract 22 x from both sides

∴ 60 = 8 x

- Divide both sides by 8

∴ 7.5 = x

∴ The value of x is 7.5 hours

x is 7.5 hours

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Answer:

Sam has to 56 times more to the arcade to earn additional points he need.

Step-by-step explanation:

Given:

Number of tickets already earned = 456

Number of tickets saved each time visit at arcade = 76

Total Number of tickets required to buy Stuffed bear = 4712

We need to find number of times he need to go to arcade to earn the additional points.

Solution:

Let Number of times he need to visit arcade be 'x'.

Now we know;

Number of tickets already earned plus Number of tickets saved each time visit at arcade multiplied by Number of times he need to visit arcade equals to Total Number of tickets required.

Framing in equation form we get;

[tex]456+76x = 4712[/tex]

Now Solving the equation we get;

Subtracting both side by 456 we get;

[tex]456+76x=4712-456\\\\76x= 4256[/tex]

Now Dividing both side by 76 we get;

[tex]\frac{76x}{76} = \frac{4256}{76} \\\\x=56[/tex]

Hence, Sam has to 56 times more to the arcade to earn additional points he need.

Maximum number of rides Alex can go is 23

Solution:

Given that Alex mom gave him $ 45 to spend

Admission to the fair was  $ 7, and each ride costs $1.50

From given question,

The amount of money spent on admission to the fair and on a number of rides which each cost $ 1.50, must be at most $ 45

"At most $ 45" means $ 45 exactly or less

Let "x" be the number of rides Alex takes up

[tex]7 + 1.50 (x) \leq 45[/tex]

[tex]1.50x + 7 \leq 45[/tex]

This is the required inequality

To find the maximum number of possible rides, solve for  x

[tex]1.50x + 7 \leq 45\\\\1.50x\leq 45 - 7\\\\1.50x\leq 38\\\\x \leq 25.33[/tex]

Thus maximum number of rides he can go is 23

Answer:

Step-by-step explanation:

Put the equation in the form y = mx + b.

Plot the y-intercept, (0,b).

Use the slope to find another point on the line.

Connect the two points in a straight line.

The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7

Step-by-step explanation:

The parallel lines have:

The form of the linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept

∵ The equation of the given line is y = 5x + 4

∴ m = 5 and b = 4

∵ The two lines are parallel

∴ Their slopes are equal

∴ The slope of the parallel line = 5

- Substitute the value of the slope in the form of the equation

∴ y = 5x + b

- To find b substitute x and y in the equation by the coordinates

   of any point on the line

∵ The parallel line passes through point (-1 , 2)

∴ x = -1 and y = 2

∵ 2 = 5(-1) + b

∴ 2 = -5 + b

- Add 5 to both sides

∴ 7 = b

- Substitute the value of b in the equation

∴ y = 5x + 7

The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7

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Answer:

a) v = 0

b) b = 7 / 6

c) a = any number

Step-by-step explanation:

a)    7(2+5v)=3v+14

     7 x 2 + 7 x 5v = 3v + 14  .... distributive

     14 + 35v = 3v + 14

     35v - 3v = 14 - 14

      32v = 0

      v = 0 ...... only v value can fit  

b) -3 (3-6b)=6b+5

   -9 + 18b = 6b + 5

   18b - 6b = 5 + 9

   12b = 14

    b = 14 / 12 = 7 / 6

c) 2 (a-2)=2a-4

    2a - 4 = 2a - 4

    2a -4 + 4 = 2a -4 + 4

    2a = 2a

     a = a ........ a cab be any number

To draw a conclusion from collected data, examine the hypothesis compared with the results observed. A careful analysis should lead to generalizations backed by evidence. Presenting and summarizing information thoroughly is vital for conclusions and future inquiries.

To draw a conclusion based on the data collected, one must first analyze the data carefully. For example, in an experiment assessing the number of deformed frogs in a non-polluted pond, the data should be compared to the initial hypothesis. If the data shows a significant number of deformed frogs in pristine conditions, this could imply other factors contributing to deformities besides pollution.

In language use among students, if the evidence suggests particular trends or patterns, you can make generalizations about these observations. If your findings are different from the initial answer in the 'Collect the Data' section, it might be due to various reasons such as experimental error or an incomplete hypothesis. When presenting your findings, it is critical to incorporate all the collected information which solidifies your conclusion.

Lastly, when summarizing information about a person's experience, it's necessary to incorporate all relevant data before settling on a conclusion. Afterward, forming a question for further research can open new avenues for exploration.

Answer:

[tex]B(a)=\frac{a}{6}-9[/tex]

Step-by-step explanation:

see the attached figure , to better understand the problem

we have

[tex]A(b)=12(\frac{b+9}{2})[/tex]

where

A(b) ---> is the trapezoid's area

b ---> is the other base value

Solve the equation for b

That means ----> isolate the variable b

Divide 12 by 2 right side

[tex]A=6(b+9)[/tex]

Divide by 6 both sides

[tex]\frac{A}{6}=b+9[/tex]

subtract 9 both sides

[tex]\frac{A}{6}-9=b[/tex]

Rewrite

[tex]b=\frac{A}{6}-9[/tex]

Convert to function notation

[tex]B(a)=\frac{a}{6}-9[/tex]

Final answer:

The inverse function for the area of a trapezoid with one base of 9 and height of 12 is B(a) = a/6 - 9, which gives the length of the other base when provided with the area of the trapezoid.

Explanation:

The question revolves around finding the inverse function for the function that represents the area of a trapezoid. Given the area function A(b) = 12.579 for a trapezoid with a height of 12 and one base of length 9, we seek the function B(a) which provides the length of the other base when given the trapezoid's area. To derive this, recall that the area of a trapezoid with bases b and c and height h is given by A = (1/2)(b+c)h. Here, b is 9 and h is 12. Hence, A(b) = (1/2)(9+b)(12) = (9+b)(6).

To find B(a), we express b in terms of A: (9+b)(6) = A → b = A/6 - 9. The inverse function is B(a) = a/6 - 9.

Answer:

a

Step-by-step explanation:

Answer:

D. [tex]1000 - 100w \geq 500; w \leq 5[/tex]

Step-by-step explanation:

Given:

Initial amount in the bank = $1000

Money withdrawn each week = $100

Final amount should be at least $500.

Now, let the number of weeks the money is withdrawn be 'w'.

Therefore,

Money withdrawn in 'w' weeks = [tex]\textrm{Money withdrawn each week}\times w[/tex]

Total Money withdrawn in 'w' weeks = [tex]100w[/tex]

Now, final amount after 'w' weeks is equal to the difference between initial amount and total withdrawal amount. Therefore,

Final amount = Initial amount - Total withdrawal amount

Final amount = [tex]1000 - 100w[/tex]

Now, final amount must be greater than or equal to $500. So,

[tex]\textrm{Final amount}\geq500\\\\1000-100w\geq500[/tex]

Therefore, the  inequality that represents the inequality for the number of weeks Amy can withdraw money is:

[tex]1000-100w\geq500[/tex]

Now, let us solve for 'w'.

Adding -500 and 100w both sides, we get:

[tex]1000-500-100w+100w\geq500-500+100w\\\\500\geq100w\\\\\textrm{The above inequality is reversed when taking 100w on the left side}\\\\100w\leq500\\\\w\leq\frac{500}{100}\\\\\therefore w\leq5[/tex]

Therefore, the correct option is (D).

Answer:

Here Two triangles BDE and BAC are similar as mentioned

So, According to Similarity of triangles theorem

BE/BC = DE/AC

4/16= x/20

1/4 = x/20

x= 20/4

x=5

Answer:

-2

Step-by-step explanation:

The equation is -12/c=6

by solving for c you get,

-12/c=6

Then multiply both sides by the LCM c to get, -12=6c

Divide both sides by 6 to get,

-12/6=6c/6

-2=c

Verification:

-12/-2=6 since when a negative number divides a negative number the answer is a positive value

Answer:

Maximum time the teacher should allow for the whole test should be = 55 minutes

Step-by-step explanation:

Number of easy questions in the test = 50

Number of hard questions in the test = 20

Time for each easy question = 30 seconds = [tex]30\ sec\times\frac{1\ min}{60 sec}=0.5\ min[/tex]    

[As 1 minute = 60 seconds]

Time for each hard question = 1 minute 30 seconds = [tex]1\ min+(30\ sec\times\frac{1\ min}{60 sec})=1\ min+0.5\ min=1.5\ min[/tex]

Using unitary method to find duration of whole test.

If 1 easy question takes = 0.5 minutes

Then, 50 easy questions will take = [tex]50\times 0.5\ min[/tex] = 25 minutes

If 1 hard question takes = 1.5 minutes

Then, 20 hard questions will take = [tex]20\times 1.5\ min[/tex] = 30 minutes

Total time for the test will be = [tex]25\ min+30\ min[/tex] = 55 minutes

Answer: 4.75x + 525

Step-by-step explanation:

4.75 times x (the square feet) plus 525

Answer:

You have consumed 164 calories in total

Step-by-step explanation:

12 calories × 5 crackers = 60 calories

52 calories × 2 cookies = 104 calories

104 + 60 = 164 calories in total

Answer:

The fence is 18.9 ft long.

Step-by-step explanation:

If you were to create a diagonal line from corner to corner with a square that is 10x16ft, you would have a triangle with 2 known sides and an unknown value. In this case, because you are making a 90° triangle, you can use Pythagorean Theorem:

a^{2} + b^{2} = c^{2}

10^{2} + 16^{2} = c^{2}

100 + 256 = c^{2}

356 = c^{2}

√356 = c

18.9 = c

The length of the fence that Justin needs to split the garden diagonally is approximately 18.9 feet (rounded to the tenth of a foot).

To split the rectangular garden diagonally using a fence, you would be creating two right triangles with the fence as the hypotenuse. You can use the Pythagorean Theorem to find the length of the fence.

The Pythagorean Theorem states: [tex]\(c^2 = a^2 + b^2\)[/tex], where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

In this case, the rectangular garden has dimensions of 10 feet and 16 feet, so a = 10 and b = 16. Let c be the length of the fence.

Now, use the Pythagorean Theorem to find c:

[tex]\[c^2 = 10^2 + 16^2\][/tex]

[tex]\[c^2 = 100 + 256\][/tex]

[tex]\[c^2 = 356\][/tex]

Now, take the square root of both sides to find c:

[tex]\[c = \sqrt{356} \approx 18.9\text{ feet}\][/tex]

So, the length of the fence that Justin needs to split the garden diagonally is approximately 18.9 feet (rounded to the tenth of a foot).

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Answer:

The required points of the given line segment  are ( - 3, - 7 ).

Step-by-step explanation:

Given that the line segment CD whose midpoint M is ( 1, - 1 ) and point D is ( 5, 5 ), then we have to find point C of the line segment CD-

As we know that-

If a line segment AB is with endpoints ([tex]x_{1}, y_{1}[/tex] ) and  ([tex]x_{2}, y_{2}[/tex]  then the mid points C are-  

C = ( [tex]\frac{ x_{1} + x_{2} }{2}[/tex] , [tex]\frac{ y_{1} + y_{2} }{2}[/tex] )

Here,

Let C ( x, y ), D ( 5, 5 ) with midpoint M ( 1, -1 )-

then by the midpoint formula-

( 1, -1 )  = ( [tex]\frac{x+ 5}{2}[/tex] , [tex]\frac{y + 5}{2}[/tex] 

On comparing x coordinate and y coordinate -

We get,

( [tex]\frac{x+ 5}{2}[/tex] = 1  , [tex]\frac{y + 5}{2}[/tex] = -1 )

( x + 5 = 2, y + 5 = - 2 )

( x = 2 - 5,  y = -2 - 5 )

( x = - 3,  y = -7 )

Hence the required points  C are (- 3, - 7 ).

We can also verify by putting these points into Midpoint formula.

263.76 cm is the minimum amount of paper she will need to wrap the entire container.

Step-by-step explanation:

As we know that the equation for surface area of a cylinder,

Surface area of cylinder =  [tex]2\pi r^{2}+2 \pi r h[/tex]

Where,

r - the radius of the cylinder. Here given diameter (D) as 6. So,

          [tex]r=\frac{D}{2}=\frac{6}{2}=3 \mathrm{cm}[/tex]

h - the height of the cylinder (given as 11 cm). The value for pi = 3.14. Now, calculate the surface area of the cylinder as

                     [tex]A=2(3.14)(3)^{2}+2(3.14)(3)(11)[/tex]

                            A = 56.52+ 207.24 = 263.76 cm

Answer:

[tex](x^3-11x^2+ 22x + 40)\div (x-5)=(x^2-6x-8)[/tex]

Step-by-step explanation:

When dividing [tex](x^3-11x^2+ 22x + 40)[/tex] by [tex](x-5),[/tex]

1. Multiply [tex](x-5)[/tex] by [tex]x^2[/tex] and subtract the result from [tex](x^3-11x^2+ 22x + 40)[/tex] to eliminate [tex]x^3:[/tex]

[tex](x^3-11x^2+ 22x + 40)-x^2(x-5)\\ \\=x^3-11x^2+22x+40-x^2+5x^2\\ \\=-6x^2+22x+40[/tex]

2. Multiply [tex](x-5)[/tex] by [tex]-6x[/tex] and subtract the result from [tex]-6x^2+22x+40[/tex] to eliminate [tex]-6x^2:[/tex]

[tex]-6x^2+22x+40-(-6x)(x-5)\\ \\=-6x^2+22x+40+6x^2-30x\\ \\=-8x+40[/tex]

3. Multiply [tex](x-5)[/tex] by [tex]-8[/tex] and subtract the result from [tex]-8x+40[/tex] to eliminate [tex]-8x:[/tex]

[tex]-8x+40-(-8)(x-5)\\ \\=-8x+40+8x-40\\ \\=0[/tex]

So,

[tex](x^3-11x^2+ 22x + 40)\div (x-5)=(x^2-6x-8)[/tex]

Answer:

Step-by-step explanation:

Answer:

x=-5/2, -3

Step-by-step explanation:

2x^2+11x+15=0

factor out the trinomial

(2x+5)(x+3)=0

zero property,

2x+5=0, x+3=0

2x=0-5=-5, x=-5/2

x=0-3=-3

Answer:

It's asking for simplifying expression with the given value.

Step-by-step explanation:

3x^4 - x + 4; x = 3

3(3)^4 - (3) + 4

3(81) - 3 + 4

243 - 3 + 4

243 + 1

244

Answer:

Step-by-step explanation:

2) 3x⁴ - 25x³ + 27 =   3(2)⁴ - 25(2)³ + 27  = 3*16 - 25*8  +27 = 48 - 200 + 27

= -125

3) 20s⁴ + 24s³ + 4s = 20(1)⁴ + 24(1)³ + 4(1)

= 20 + 24 + 4 = 48

4) 6m⁴ - 4m +20 =  6(4)⁴ - 4(4) +20

= 6*256 - 16 + 20= 1536 - 16 + 20

=1540

5) - 7p⁴ - p + 9 = -7(-2)⁴ - (-2) +9 = -7*16 + 2 +9 = -112 + 2 + 9 = - 101

6) 6a⁷ - a³ + a = 6(-1)⁷ - (-1)³ + (-1) = 6*(-1) - (-1) - 1 = -6 + 1 - 1 = -6

Answer:

See explanation

Step-by-step explanation:

         Statement                Reason

1. [tex]\angle M\cong \angle X[/tex]      - Given

2. [tex]\angle N\cong \angle Y[/tex]      - Given

3. [tex]\overline{YO}\cong \overline{NZ}[/tex]    -  Given

4. [tex]\overline{OZ}\cong \overline{OZ}[/tex]    -  Reflexive property

5. [tex]YO=ZN[/tex]     - Definition of congruent segments

6. [tex]YZ=YO+OZ[/tex]    - Segment addition postulate

7. [tex]ON=ZN+OZ[/tex]    - Segment addition postulate

8. [tex]YZ=ZN+OZ[/tex]     - Substitution property

9. [tex]YZ=ON[/tex]     - Substitution property

10. [tex]\triangle MNO\cong \triangle XYZ[/tex]     - AAS postulate

Answer:

What is your gram?

Step-by-step explanation:

Answer:3/2a

Step-by-step explanation:

Answer:

3 a /2

Step-by-step explanation:

3 a² b ÷ 2 a b

3 a / 2