A parking lot has 65 spaces total. If 30 of the spaces have cars in them, what is the ratio of empty spaces to filled spaces?

Answers

Answer 1

Answer: 35:30, because 65-30 equals 35 and if you do the empty spaces which there are 35 to the filled spaces which there are 30 it will become your answer of 35:30.

Hope this helps!

Answer 2

The solution is 7 : 6

The ratio of proportion of the empty spaces to the filled spaces is 7 : 6

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

Let the total number of parking spaces be = P

The value of P = 65 spaces

Now , the number of spaces that are filled with cars = 30 spaces

So , the remaining number of spaces = the empty spaces

The remaining number of spaces = total number of parking spaces - number of spaces that are filled with cars

Substituting the values in the equation , we get

The remaining number of spaces = 65 - 30

The remaining number of spaces = 35 spaces are empty

Now , the ratio of empty spaces to filled spaces is given by

Ratio of empty spaces to filled spaces = 35 : 30

On simplifying , we get

Ratio of empty spaces to filled spaces = 7 : 6

Therefore , the proportion is 7 : 6

Hence , The ratio of the empty spaces to the filled spaces is 7 : 6

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Related Questions

Use custom relationships to create a graph, showing the solution region of the system of inequalities, representing the constraints of the situation. Did Mark and label it point represents a viable combination of guest School district is planning a banquet to honor his teacher of the year and raise money for the scholarship foundation. The budget to hold the banquet in a hotel room and miles is $3375 the venue can hold no more than 125 guest the cost is $45 per adult but only $15 per student because caterer offers a student discount discount

Answers

We can label the point (75, 50) as the optimal solution for the banquet, as it represents the maximum number of guests that can be invited while staying within the constraints.

What is banquet?

A banquet is a large formal meal that usually involves multiple courses and is served to a group of people on special occasions such as weddings, awards ceremonies, or fundraising events. Banquets often include speeches, presentations, and entertainment, and are typically held in a large venue such as a hotel ballroom, banquet hall, or conference center. Banquets can be hosted for a variety of purposes, such as to honor a special guest, celebrate an achievement, or raise money for a charitable cause.

To create a graph showing the solution region of the system of inequalities representing the constraints of the situation, we can use custom relationships to define the variables and constraints.

Let's define the variables:

Let x be the number of adult guests.

Let y be the number of student guests.

Now, let's write the system of inequalities representing the constraints of the situation:

The total number of guests cannot exceed 125: x + y ≤ 125

The cost of hosting the banquet cannot exceed $3375: 45x + 15y ≤ 3375

To graph this system of inequalities, we can plot the boundary lines of each inequality and shade the region that satisfies all the constraints.

The boundary lines of each inequality are:

x + y = 125 (the line that connects the points (0, 125) and (125, 0))

45x + 15y = 3375 (the line that connects the points (0, 225) and (75, 0))

To find the viable combinations of guests that satisfy all the constraints, we need to shade the region that is below the line x + y = 125 and to the left of the line 45x + 15y = 3375.

The resulting graph should look like this:

The point where the two lines intersect, (75, 50), represents the maximum number of adult guests (75) and the maximum number of student guests (50) that can be invited to the banquet while staying within the budget and venue capacity. Any point within the shaded region represents a viable combination of guests.

We can label the point (75, 50) as the optimal solution for the banquet, as it represents the maximum number of guests that can be invited while staying within the constraints.

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What will be the result of substituting 2 for x in both expressions below?
+4
x+6-x-2
O Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
O Both expressions equal 6 when substituting 2 for x because the expressions are equivalent.
O One expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not
equivalent.
One expression equals 6 when substituting 2 for x, and the other equals 2 because the expressions are not
equivalent.

Answers

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

Equivalent Algebraic expressions:

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expressionns.

Given the algebraic expressions,

$\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2$

Substituting 2 for x in the first expression gives:

(1/2 × 2) + 4

1 + 4

Substituting 2 for x in the second expression gives:

2 + 6 - (1/2 ×2) - 2

8 - 1 - 2

8 - 3

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

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B=(3,5,6,9) and C=(2,4,6,8) Find (A). A/B (B). B/C C. A/C (D). C/A

Answers

Answer:

The question isn't clear. Can you provide more information or context? What is A? Is it a set or a number? Without this information, I can't provide a meaningful answer.

How do I find the value

Answers

A = 139°

B = 139°

You can see A and B are coefficients of each other, which means they have the same angle because they are opposite each other on the straight line. just like the two 41° angles are.

The angle around a point always add up to 360°, so add the 41° angles.

41 + 41 = 82°

Then minus this by 360°.

360 - 82 = 278°

And to work out one angle, which gives you the angle for both, divide 278 by two.

278 ÷ 2 = 139°

Both A and B have an angle of 139°

Example:

To find the value of two intersecting lines, you need to know the equations of both lines. Then, you can set the equations equal to each other and solve for the variable x. This will give you the x-coordinate of the point where the lines intersect. To find the y-coordinate, you can plug the value of x into either equation and solve for y. For example, if one line is y = 3x - 5 and another line is y = -2x + 7, then you can set 3x - 5 = -2x + 7 and solve for x:

3x - 5 = -2x + 7

5x = 12

x = 12/5

Then, plug x = 12/5 into either equation and solve for y:

y = 3(12/5) - 5

y = 36/5 - 25/5

y = 11/5

Therefore, the point of intersection is (12/5, 11/5).

If one of the lines has a given angle, such as 41 degrees, then you can use trigonometry to find its equation. For example, if one line passes through the origin and has an angle of 41 degrees with the positive x-axis, then you can use the slope formula to find its equation:

slope = tan(41 degrees) ≈ 0.87

y = mx + b

y = 0.87x + 0

Then, you can use the same method as before to find the point of intersection with another line.

_______________________________________________________

The answer is 139 degrees, using the method I gave.

MARK AS BRAINLIEST!!!

Write an equation for the parabola that has the
given vertex and passes through the given point.
Vertex
(0,0)
Point
(3,18)

Answers

$~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=0\\ k=0\\ \end{cases}\implies y=a(~~x-0~~)^2 + 0\hspace{4em}\textit{we also know that} \begin{cases} x=3\\ y=18 \end{cases} \\\\\\ 18=a(3-0)^2+0\implies 18=9a\implies \cfrac{18}{9}=a\implies 2=a \\\\\\ y=2(~~x-0~~)^2 + 0\implies \boxed{y=2x^2}$

(9mn-19^4n) - (8m^2+12m^4n+9mn

Answers

Answer:

-19n^4 - 8m^2 - 12m^4n

Step-by-step explanation:

8m^2 + 12m^4n + 9mn

19n^4 9mn

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

-19n^4 - 8m^2 - 12m^4n

Answer:

The answer is B.) -31m^4n-8m^2

: Using the variable below, is the equation and its solution below true or false for the variable?
X = 4

7 + x = 11

Answers

The solution below is true when using the variable. To solve it you would do the subtraction:
11 - 7 = x
4 = x

If two sides of a triangle are 6 and 16, what is the range of the possible lengths
of the third side?

Answers

The range of the possible length of the third side is between 10 and 22

How to determine the possible length of the third side

From the question, we have the following parameters that can be used in our computation:

Lengths = 6 and 16

The possible length of the third side can be calculated using the triangle inequality theorem

For this triangle, the length of the third side must be greater than

16 - 6 = 10

Also, the length of the third side must be less than

16 + 6 = 22

Hence, the possible length of the third sides is between 10 and 22

Answers

Answer:

small is 0.018

medium is 0.016

large is 0.010

If the ratio of similarity between two similar polygons is 4:3.2, this ratio converts to

1:8.

8:1.

4:5.

5:4.

Answers

Answer:

5 : 4

Step-by-step explanation:

4: 3.2

Multiply by 10 to get rid of the decimal

4*10 : 3.2* 10

40 : 32

Divide each side by 8 to simplify

40/8 : 32/ 8

5 : 4

The Unit Circle

What is cos(-30*)? Sketch a graph to help determine the answer

a. 0.50
b. 0.87
c. -1
d. 0

Please select the best answer from the choices provided

Answers

Answer:

C. -1

Step-by-step explanation:

I calculated it logically

Mark and Connie are insure for 80% of the replacement value of their home, which is valued at $245,000. How much is the policy amount on their house?

Answers

Answer:

$196000

Step-by-step explanation:

Value of the home = $245000Insurance = 80%

Policy amount:

$245000*80/100 = $196000

Answer:

$196,000

Step-by-step explanation:

Given information:

Value of home = $245,000Insurance replacement percentage = 80%

To find the policy amount on their house, find 80% of the value of the home:

$\begin{aligned}\sf Policy\:amount & = \sf 80\%\:of\:245000\\\\& = \sf \dfrac{80}{100} \times 245000\\\\& = \sf \dfrac{80 \times 245000}{100}\\\\& = \sf \dfrac{19600000}{100}\\\\& = \sf 196000\end{aligned}$

Therefore, the policy amount on Mark and Connie's house is $196,000.

2.
A line passes through the points (5, 4)
and (-5,0).
(a) Write an equation of the line in
slope-intercept form.

Answers

Slope (y2-y1)/(x2-x1)
(0-4)/(-5-5) = -4/-10 = 2/5
Y = 2/5x + b
Plug in any point
4 = 2/5(5) + b
4 = 2 + b, b= 2
Final equation: y = 2/5x + 2

Here’s the answer w steps :)

2.A line passes through the points (5, 4)and (-5,0).(a) Write an equation of the line inslope-intercept

Which of the following question is not considered a statistical question?

Answers

Answer:

B. How many total customers were at the story today?

Step-by-step explanation:

Option 'B' is not a statistical question because there is not more than one answer.

There is only one answer to this question.

Option 'A,' 'C,' and 'D' are statistical questions because there is more than one answer.

What amounts did each person at the store spend on their purchase?

This question has more than one answer.

How long did each customer spend shopping at the store?

What are the heights of each customer who entered the store?

These questions have more than one answer as well.

Statistical questions are questions that have more than one answer. This means you can collect data.

I, therefore, believe that option 'B' is not a statistical question.

he expression 5x − 3(2x − 4) is equivalent to the expression 12 − x.

True
False

Answers

I think is False ......

Claire has to go to the movie theater the movie starts at 4:15 pm it is a 25min walk to the theater from her home what time dose the have to leave the house to get there on time

Answers

Answer:

3:50 pm

Step-by-step explanation:

Count backwards with the 25 min.

4:15 - 15 min >

25 - 15 = 10 >

4:00 - 10 = 3:50

Answer:

3:50 pm

Step-by-step explanation:

Starting Time + Time Interval = Ending Time

=> Ending Time - Time Interval = Starting Time

Ending Time = 4:15 pm

Time Interval = 25 minutes

Starting Time = x

=> 4:15 - 25 = x

=> 4:15 - 15 - 10 = x

=> (4:15 - 15) - 10 = x

=> 4:00 - 10 = x

=> 3:50 pm = x

So, she needs to leave the house at 3:50 pm to get to the movie theater on time.

my teacher is asking what is 4 cubed and the options are $3^{3}$ , $3^{3}$ > 12 , $4^{3}$ , and 3-4 please help !

Answers

It’s the third option

Algebraically prove that x^3 + 9 / x^3+8 = 1 + 1/x^3 +8 , where x ≠ -2

Answers

Refer to the photo taken.

Algebraically prove that x^3 + 9 / x^3+8 = 1 + 1/x^3 +8 , where x -2

Round 78500 to the nearest thousand. Enter your answer in the box below
without a comma.

Answers

Answer:

79000

Step-by-step explanation:

The 8 is in the thousands place. We look at the hundreds place

5 is in hundreds place. It is 5 or greater so we round up

The 8 becomes a 9

78500 becomes 79000

Gellar hit a golf ball 300 meters across the field. How many kilometers did the golf ball travel?

A) 0.03 kilometers

B) 0.3 kilometers

C) 3 kilometers

D) 30 kilometers

Answers

Answer:

Step-by-step explanation:

1000 meters in a kilometer

flat parts of the solid figures?

Answers

Answer:

Hope it's helps uu

Step-by-step explanation:

if wrong then

Question 1
A store owner want to develop a new snack mix by mixing chocolate and trail mix. How many pounds of
chocolate costing $8.20 per pound should be mixed with trail mix costing $3.40 per pound to create a 23
mixture worth $5.49. (round to the nearest pound)

Answers

The number of pounds of chocolate costing $8.20 per pound should be mixed with trail mix is; 18 pounds

How to solve Algebra Word Problems?

Let c represent the pounds of chocolate needed.

The weight of the snack mix is c + 23.

Thus, the algebraic expression here is;

8.2c + 3.4(23) = 5.49(c + 23)

8.2c + 78.2 = 5.49c + 126.27

8.2c - 5.49c = 126.27 - 78.2

2.71c = 48.07

c = 48.07/2.71

c ≈ 18 pounds

This value represents the number of pounds of chocolate costing $8.20 per pound should be mixed with trail mix

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i need help on the last option C. would it be “upward” or “downward”?

Answers

Answer:

Explanation

The graph is a straight line, it is upward, and it is shown in option

If 2log(x-y)=log x+log y,prove that 2 log(x+y)=log 5+log x+log

Answers

Let us understand the properties of Logarithms. In mathematics Logarithms are the inverse of exponential function. In the simplest case, the logarithm counts the number of times same factor in present in a repeated multiplication.

Logarithm of base 10 is also known as common logarithm.Logarithm of base e is called natural logarithm also written as( $ln$)

A logarithm of a number 'x' to a base 'y' is defined as:

$log_y^x=z (y > 0)$

which represents $y^{z} =x$

According to the properties of Logarithm :

Product Law: $log (a)+log(b)=log(ab)$Quotient Law: $log (a)-log(b)=log(\frac{a}{b} )$Power Law: $alog (x)=log(x)^{a}$

Now let us solve the given problem:

$2 log (x-y)=log x+ log y\\or,log(x-y)^2=log(xy)\\or,log(x^2+2xy+y^2)=log(xy)$

$or,x^{2} +2xy+y^{2}=xy\\$ ( taking anti-logarithms on both sides)

$or,x^{2}+y^{2}=xy+2xy$

Now let us use the above equation to solve

Left Hand Side:

$2 log(x+y)\\=log(x+y)^2\\=log(x^{2} +2xy+y^{2} )\\=log(x^2+y^2+2xy)\\=log(xy+2xy+2xy)\\=log(5xy)\\=log(5)+log(x)+log(y)$

=Right Hand side

Hence the statement is proved by using the properties of logarithm.

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Find the value of f(-9)
y = f(x)
10
8
6
4
-8
-10
8
6
10
4
6
-4
-10
I need help now!!!!

Answers

Answer: 2

Step-by-step explanation:

When x=-9, y=2. So, f(-9)=2.

The price of a gift plus 14% delivery charge comes to a total cost of $19.38. What was the price of the gift? Step 1 of 2 : Describe the above situation as a linear equation, using "x" or "y" as variable names to describe the unknown quantity.

Answers

Answer:

$16.67

Step-by-step explanation:

$19.38*14%=$2.71

$19.38-2.71=$16.67

What is the percent of sugar in a syrup made of 10 kg of water and 15 kg of sugar?

Answers

Answer:

Step-by-step explanation:

So you would have to add the solutions together, 15+10=25. divide by 15.. 15/25 = 0.6. But in order to get a percent, you must multiply by base tens. 0.6x100 = 60%

Answer:

60%

Step-by-step explanation:

To find the percent sugar, take the amount sugar over the total.

----------

15+10

15/25 =.6

Change the decimal to percent form.

.6 * 100% = 60%

Use factoring to solve the polynomial equation. Check by substitution or by using a graphing utility and identifying
x-intercepts.
8x4-32x² = 0
Rewrite the equation in factored form.
(Blank)=0

Then what is the solution pair?

Answers

The solution to the polynomial equation 8x⁴ - 32x² = 0 by factoring are x = 0 or x = -2 or x = 2

Using factoring to solve the polynomial equation

To solve the equation 8x⁴ - 32x² = 0 by factoring, we can factor out the greatest common factor of the terms:

8x²(x² - 4) = 0

Now we can use the difference of squares identity to factor the quadratic expression:

8x²(x + 2)(x - 2) = 0

Using the zero product property, we know that the product of two factors is zero if and only if at least one of the factors is zero.

Therefore, we can set each factor equal to zero and solve for x:

8x² = 0 or x + 2 = 0 or x - 2 = 0

Solving for x, we get:

x = 0 or x = -2 or x = 2

So the solution set for the equation is {0, -2, 2}.

To check the solution, we can substitute each value into the original equation and verify that it equals zero.

Answers

Answer:

LxWxH

Step-by-step explanation:

answer : w: A = l x w. (that’s the formula)

Bases
The area of a rectangle is equal to its length, l, multiplied by its width, w: A = l x w.

example: Given a pyramid whose base is 10 inches long and 15 inches wide, find area as follows: A = 10 inches x 15 inches = 150 square inches.

PLEASE HELP!! Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the trigonometric ratios with their values based on the triangle shown in the diagram

Answers

this is the answer on edmentum

The matching will be given below.

12/25 = sin D × cos D3/5 = sin D16/15 = cos C × tan D4/5 = sin C

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The value of sin C will be

sin C = 3 / 5

The value of sin D will be

sin D = 4 / 5

The value of cos C will be

cos C = 4 / 5

The value of cos D will be

cos D = 3 / 5

The value of tan C will be

tan C = 3 / 4

The value of tan D will be

tan D = 4 / 3

The product of sin D and cos D will be

sin D × cos D = (4 / 5) × (3 / 5)

sin D × cos D = 12 / 25

The product of tan C and tan D will be

tan C × tan D = (3 / 4) × (4 / 3)

tan C × tan D = 1

The product of cos C and tan D will be

cos C × tan D = (4 / 5) × (4 / 3)

cos C × tan D = 16 / 15

Then the matching will be given below.

12/25 = sin D × cos D3/5 = sin D16/15 = cos C × tan D4/5 = sin C

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