63. Grace bought a dress, d, that was 45% off the regular price, r.
A Write an equation that represents this situation.
B The price of the dress before the 45% discount was $85.00.
After the discount, a 9% sales tax was added to the final sale
price. Calculate the final cost of Grace's desk. Show how you
found your answer.
​

Answer: Option B

16.8 minutes

Step-by-step explanation:

Machine A produces 75 fishing lures per minute.

Machine B produces 50 fishing lures per minute.

Let's call t time in minutes.

So we want to know how long it will take to produce 2100 fishing lures

We propose the following equation

[tex]75t + 50t = 2100[/tex]

Now we solve for t

[tex]125t = 2100[/tex]

[tex]t = 16.8\ min[/tex]

The answer is Option B

Answer:

A. 60+x°=90

Step-by-step explanation:

Complementary angles add up to 90°.

Answer:

r = - 6

Step-by-step explanation:

Given

6r + 7 = 13 + 7r ( collect terms in r on the left and numbers on the right )

Subtract 7r from both sides

- r + 7 = 13 ( subtract 7 from both sides )

- r = 6 ( multiply both sides by - 1 )

r = - 6

6r+7=13+7r

-6r -6r

------------

7=13+1r

flip the equasin to make it easier

13+1r= 7

-13 -13

---------

1r= -6

Answer:

Option D)

Step-by-step explanation:

Given:

x= {2,3,4}

y={49,343,2401}

Points with coordinates (x,log(y)) are required to be plotted

Finding (x,log(y)):

log(y)= {log(49),log(343),log(2401)}

Log(49)=1.69020

log(343)=2.53529

log(2401)=3.38039

Now the transformed data set will be written in coordinates form:

(2,1.690),(3,2.535),(4,3.380)

Which is option D !

D

the answer is D. dilation cannot be used to prove this

The answer is D since dialation only beating to increase in size

Answer:

C

Step-by-step explanation:

We can point plot to get graph of both the functions.

** Attached is the graph of both the functions. f(x) is in RED & g(x) is in BLUE.

From the graph shown, it is clear that the point of intersection is x = 4, y = 2

So f(x) = g(x) at the point x = 4

Answer choice C is right.

Answer:

(0, 7]

Step-by-step explanation:

Let's call the width W and the length L.  The length is 18 feet more than the width, so:

L = W + 18

The area can be no more than 175, so:

A ≤ 175

LW ≤ 175

Since L = W + 18:

(W + 18) W ≤ 175

W² + 18W ≤ 175

W² + 18W - 175 ≤ 0

(W - 7) (W + 25) ≤ 0

-25 ≤ W ≤ 7

However, the width of the table can't be nonpositive, so:

0 < W ≤ 7

Or in interval notation, (0, 7].

Answer:

b

Step-by-step explanation:

Given K is the midpoint of JL, then

JK = KL ← substitute values

6x = 3x + 3 ( subtract 3x from both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Hence

JK = 6x = 6 × 1 = 6

KL = 3x + 3 = (3 × 1) + 3 = 3 + 3 = 6

JL = 6 + 6 = 12

Answer:

4: 376   8: -708  12: -59  16: 0  18: -1,884

Step-by-step explanation:

I have really bad eyesight so, I hope I read all the numbers correctly. I hope you get caught up, it sucks to be behind in class.

Dividend Divisor = Quotient + Remainder is the formula for dividing two numbers. The answer is follows:

Therefore,

4) -2632/-7 = 376

Use the fraction rule.: [tex]$\frac{-a}{-b}=\frac{a}{b}$[/tex]

-2632/-7

Divide the numbers as follows:

2632/7 = 376

8) -7080/10 = - 708

12) 4956/-84 = -59

16) 0/-600 = 0

18) (-3768/-6) (-3) = 18

Within parentheses, compute (-3768 /-6) : -6

= -6(-3)

Divide and multiply (left to right) -6(-3 ) : 18

To learn more about division, refer to:

https://brainly.com/question/25289437

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Nope, it aint there. False

Answer:16

Step-by-step explanation:

original price

100

=  

new price

new percent

;

64.5

100

=  

75

x

64.5x = 7500 → x ≈ 116.3

Subtract 100 from the new percent (116.3 − 100 = 16.3) → 16%

The approximate percentage of the tip is 14%.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Dinner at your favorite restaurant cost $64.50 with tax for you and your family.

You give the waiter $75 to pay the bill and a tip.

That means,

the tip amount = 75 - 64.50

= 10.50

The tip percentage,

= 10.50 x 100 / 75

= 14%

Therefore, 14% is the required percentage.

To learn more about the percentage;

https://brainly.com/question/24159063

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Answer:

[tex]\frac{901}{999}[/tex]

Step-by-step explanation:

we know that

A Recurring Decimal, is a decimal number with a digit (or group of digits) that repeats forever.

In this problem we have

0.901 recurring

that means

0.901901901..

Let

[tex]x=0.901901901..[/tex]

Multiply x by a power of  [tex]10[/tex], one that keeps the decimal part of the number the same:  

[tex]1,000x=901.901901..[/tex]

Subtract [tex]x[/tex] from [tex]\\1000x[/tex]

[tex]1,000x-x=901.901901..-0.901901..=901[/tex]

The repeating decimals should cancel out

[tex]\\999x=901[/tex]

solve for x

Divide by [tex]999[/tex] both sides

[tex]990x/990=135/990[/tex]

[tex]x=\frac{901}{999}[/tex]

Answer:

12.5, not 100% sure though.

Answer:

Step-by-step explanation:

12.5 is right.  Because it say similar to triangle XYZ

Divide bags of sand by gallons of water:

14 /6 = 2.33

21/9 = 2.33

The ratio is the same, so this means for every gallon of water you need 2.33 bags of sand.

Convert the fractions into decimals and you will get 7/3 = 2.33

The answer for Part 1 is D) 7/3

For part 2, multiply the gallons of water by 2.33 to get the number of sand bags needed:

12 x 2.33 = 27.99, which rounds to 28.

The answer is C) 28 bags.

Answer:

A) [tex]\frac{3}{7}[/tex]

C) 28 bags

Step-by-step explanation:

Part 1 :

By the given table,

[tex]\frac{\text{Gallon of water}}{\text{bags of sand}}=\frac{6}{14}=\frac{9}{21}=\frac{15}{35}=\frac{3}{7}[/tex]

Hence, the proportion of gallons of water to bags of sand is same,

Which is [tex]\frac{3}{7}[/tex]

OPTION A) is correct.

Part 2 : Let x bags of sand should be mixed with 12 gallon of water,

Then the ratio of gallon of water and number of bags of sand = [tex]\frac{12}{x}[/tex]

By part 1,

[tex]\frac{12}{x}=\frac{3}{7}[/tex]

[tex]84 = 3x[/tex] ( by cross multiplication )

[tex]\implies x = \frac{84}{3}=28[/tex]

Hence, 28 bags of sand should be mixed.

OPTION C) is correct.

Answer:

y = - 6x - 57

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 6, thus

y = - 6x + c ← is the partial equation

To find c substitute (- 9, - 3) into the partial equation

- 3 = 54 + c ⇒ c = - 3 - 54 = - 57

y = - 6x - 57 ← equation of line

Answer:

y + 3 = –6(x + 9)

Step-by-step explanation:

Answer:

[tex]b=40.01\ units[/tex]

Step-by-step explanation:

we know that

Applying the law of sines

[tex]\frac{b}{sin(B)}=\frac{a}{sin(A)}[/tex]

[tex]b=\frac{a}{sin(A)}(sin(B))[/tex]

we have

[tex]a=25\ units[/tex]

[tex]A=32.5\°[/tex]

Find the measure of angle B

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

so

[tex]A+B+C=180\°[/tex]

substitute the given values

[tex]32.5\°+B+26.8\°=180\°[/tex]

[tex]B=180\°-59.3\°=120.7\°[/tex]

Find the length side b

[tex]b=\frac{a}{sin(A)}(sin(B))[/tex]

substitute the values

[tex]b=\frac{25}{sin(32.5\°)}(sin(120.7\°))[/tex]

[tex]b=40.01\ units[/tex]

Answer:

Step-by-step explanation:

When x<-2, f(x)=5

When -2<x<3, f(x)=2x+2

When x>3, f(x)=-3

Answer:

Step-by-step explanation:

Given is a graph of piecewise function.

We are given a horizontal line for

[tex]x<-2[/tex]

Hence [tex]f(x) = 5, x<-2[/tex]  ... I

Whenever

[tex]-2\leq x<3[/tex], the graph is a line passing through (-2,-2) and (3,8)

Hence using two point equation we get

[tex]\frac{y+2}{8+2} =\frac{x+2}{3+2}\\5(y+2)=10(x+2)\\y=2x+2[/tex]...II

Again for

[tex]x>3\\y=-3[/tex]... III

I,II and III together give the piecewise funciton

Answer:

4 x^(3/2)         + 5x -32

Step-by-step explanation:

This problem involves definite integration (anti-derivatives).

If dy/dx = 6x^(1/2) - 5, then dy = 6x^(1/2)dx - 5dx.

                                        (1/2) + 1

This integrates to y = 6x                        

                                   ----------------                      

                                      (1/2) + 1             x^(3/2)

                                                      =  6 ------------ + C

                                                                 3/2

or:        4 x^(3/2) + C

and the ∫5dx term integrates to 5x + C.

The overall integral is:  

4 x^(3/2) + C + 5x + C. better expressed with just one C:

4 x^(3/2)         + 5x + C

We are told that the curve represented by  this function goes thru (4, 20).

This means that when x = 4, y = 20, and this info enables us to find the value of the constant of integration C:

20 = 4 · 4^(3/2)         + 5·4 + C, or:

20  =  4  (8)           + 20 + C

Then 0 = 32 + C, and so C = -32.

The equation of the curve is thus   4 x^(3/2)         + 5x -32

                                      (1/2 + 1)

The equation of the curve is [tex]y=6x^2-5x+7$.[/tex]

From the given information, we know that the gradient of the curve is [tex]$dy/dx=6x-5[/tex]

This means that the equation of the curve is of the form [tex]$y=6x^2-5x+C$[/tex]  for some constant C.

We can find the value of C by substituting the point (4,20) into the equation of the curve.

This gives us [tex]20=6\cdot4^2-5\cdot4+C[/tex]  so C=7.

Therefore, the equation of the curve is [tex]y=6x^2-5x+7$.[/tex]  

For similar question on equation.

https://brainly.com/question/30164833

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Answer:

12

Step-by-step explanation:

We know that 15/20 students voted in the StuCo election on the first go around.

Using this ratio for 16 student is as simple as multiplying 15/20 by 16

(15/20)*16=12

Based on the voting ratio of 3:4 from Monday's election, we predict that 12 out of the 16 students present on Tuesday voted.

The question asks to predict the number of students who voted in Tuesday's election based on the ratio of students who voted on Monday. On Monday, 15 out of 20 students voted, which establishes a voting ratio of 15:20, or 3:4 when simplified. To predict Tuesday's voter turnout, we apply this ratio to the 16 students present on Tuesday.

Using the simplified ratio of 3:4, for every 4 students, 3 vote. Since 16 students were in class on Tuesday:

Therefore, we predict that 12 students voted in Tuesday's election.

Answer:

The probability that there were 3 males is 1/4.

Step-by-step explanation:

Total Number of kitten = 4

Probability of a kitten to be male = 1/2

Probability of a kitten to be female = 1/2

Probability that out of 3 were male = 4 × 1/2 × 1/2 × 1/2 × 1/2

                                                          = 1/4

Therefore, The probability that there were 3 males is 1/4.

Answer:

a is 800

b is 13

c is 61.5

Step-by-step explanation:

for a you add all of the given data together

b you count how many data points there are

c you get the answer from the a  and divided by 13

By adding all of Jill's quiz scores (totaling 800) and dividing by the number of quizzes (13), we find that Jill's average score is approximately 61.54.

To determine the mean score for Jill's quizzes, we will follow these steps:

Total the quiz scores: Add all individual scores together.

Count the number of quizzes: Determine how many quizzes Jill took.

Calculate the average score: Divide the total score by the number of quizzes.

A. Total of Quiz Scores

20 + 40 + 40 + 40 + 60 + 60 + 60 + 60 + 80 + 80 + 80 + 80 + 100 = 800

B. Number of Quizzes

Jill took 13 quizzes.

C. Average Score

The mean score is calculated by dividing the total score by the number of quizzes:

Mean Score = Total Score / Number of Quizzes = 800 / 13 ≈ 61.54

when the two books were published

Answer: It would be (B) because you don't actually have to know the date unless it is a part of the equation which you dont have to know in this question :)

Hope this will help you out :)

the standard form of the equation of a parabola that opens up or down is (x - h)^2 = 4p(y - k)  

Answer: y=ax^2+bx+c

Step-by-step explanation:

44%

1. We assume, that the number 375 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 375, so we can write it down as 100%=375.

4. We know, that x% equals 165 of the output value, so we can write it down as x%=165.

5. Now we have two simple equations:

1) 100%=375

2) x%=165

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=375/165

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 165 is what percent of 375

100%/x%=375/165

(100/x)*x=(375/165)*x       - we multiply both sides of the equation by x

100=2.27272727273*x       - we divide both sides of the equation by (2.27272727273) to get x

100/2.27272727273=x

44=x

x=44

Answer:

slope = 5

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 3 = 5(x - 4) ← is in point- slope form

with slope m = 5

Answer:

The length of the formed by these vertices is 11 units.

Step-by-step explanation:

We are given the following coordinates of two vertices of a right angled triangle and we are to find the length of the side formed by these vertices:

[tex](-2, 5)[/tex] and [tex](9,5)[/tex]

Using the distance formula to find the side length:

Side length = [tex] \sqrt { ( 9 - ( - 2 ) ) ^ 2 + ( 5 - 5 ) ^ 2 } [/tex] = [tex]\sqrt{121}[/tex] = 11 units

Answer:

11

Step-by-step explanation:

Note that the horizontal line y = 5 goes through both vertices, and that the length of the side formed by those vertices is the distance between the vertices in this case.  That distance would be 9 - (-2), or 11.

Answer:

many answers,

Step-by-step explanation:

she could make 9 mugs, (3/4 x 9 = 12)

she could make 1 small bowl, 1 small plate, 2 large bowls and 2 mugs. (2.5 + 1.5 = 4, 3.25 x2 = 6.5  .75 x 2 = 1.5; 4+ 6.5= 10.5  10.5 + 1.5 = 12) etc

Answer:  D. 2x4+x3–x+2 is prime

Step-by-step explanation:

The answer for this question is 3

Answer:

B. 3

Step-by-step explanation:

x=1 ; y = 2

x=3; y =8

the average rate of change = (8-2)/(3-1) =  6/2 = 3

Answer

B. 3

Answer:

8x² + 4x - 5

Step-by-step explanation:

M - N

= 5x² - (- 3x² - 4x + 5) ← distribute parenthesis by - 1

= 5x² + 3x² + 4x - 5 ← collect like terms

= 8x² + 4x - 5