The length of a rectangle is 3 centimeters less than twice the width. If the perimeter of the rectangle is 24 centimeters, find its dimensions.

The solution to the system of equations is x = 4 and Y = 4.

To solve the system of linear equations, we can use substitution. Since we have the equation Y = 3/2x - 2, we can substitute this expression for Y in the first equation.

Substituting Y = 3/2x - 2 in 4x - 2y = 8:

4x - 2(3/2x - 2) = 8

Simplifying the expression:

4x - 3x + 4 = 8

x + 4 = 8

Solving for x:

x = 8 - 4

x = 4

Substituting the value of x into Y = 3/2x - 2:

Y = 3/2(4) - 2

Y = 6 - 2

Y = 4

Therefore, the solution to the system of equations is x = 4 and Y = 4.

Step-by-step explanation:

Got it right on edge. You can too

Answer:

Part 1) [tex]y=2x+3[/tex]

Part 2) The equation satisfy the set of coordinates (see the explanation)

Step-by-step explanation:

step 1

Find the linear equation

The rule for the linear equation states that y is three more than twice x.

so

The variable y is equal to the number 2 multiplied by x plus the number 3

[tex]y=2x+3[/tex]

step 2

Prove that the equation satisfies the set of coordinates

substitute the value of x and the value of y in the linear equation and then compare the results

a) (-1, 1)

[tex]1=2(-1)+3[/tex]

[tex]1=1[/tex] ----> is true

so

The equation satisfy the ordered pair

b) (0, 3)

[tex]3=2(0)+3[/tex]

[tex]3=3[/tex] ----> is true

so

The equation satisfy the ordered pair

c) (-1/3,7/3)

[tex]7/3=2(-1/3)+3[/tex]

[tex]7/3=7/3[/tex] ----> is true

so

The equation satisfy the ordered pair

therefore

The equation satisfy the set of coordinates

Answer:

1863 [tex]meters^{2}[/tex]

Step-by-step explanation:

( 23 x 12 ) x 2 = 552

69 x 19 = 1311

 1311

+552

= 1863 [tex]meters^{2}[/tex]

The area of the complex figure is 1,863 square meters

To find the area of the complex figure, break it down into individual rectangles and then sum up their areas. The complex figure consists of two smaller rectangles and one larger rectangle.

For the first two rectangles:

- Length = 23 m

- Width = 12 m

The area of each of the first two rectangles is:

Area = Length × Width = 23 m × 12 m = 276 square meters

Now, for the larger rectangle:

- Length = 69 m

- Width = 19 m

The area of the larger rectangle is:

Area = Length × Width = 69 m × 19 m = 1,311 square meters

To find the total area of the complex figure, sum up the areas of the three rectangles:

Total Area = Area of the first two rectangles + Area of the larger rectangle

Total Area = (276 square meters + 276 square meters) + 1,311 square meters

Total Area = 552 square meters + 1,311 square meters

Total Area = 1,863 square meters

So, the area of the complex figure is 1,863 square meters. This approach demonstrates how to find the area by breaking down the complex figure into simpler shapes and summing their individual areas.

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The theoretical probability of drawing an 'A' from the word 'ALABAMA' is 0.57. This result arrives from dividing the number of 'A's (4) by the total number of letters in 'ALABAMA' (7).

The question deals with a probability problem related to the selection of letters from the word 'ALABAMA'. The word 'ALABAMA' has 7 letters out of which 4 are 'A's. The theoretical probability is calculated as the number of successful outcomes divided by the total number of outcomes. Since we are interested in drawing an 'A', the successful outcomes are the number of 'A's which is 4, and the total outcomes are the total number of letters which is 7.

To calculate theoretical probability, you divide the number of successful outcomes by the total number of outcomes. In this case, the calculation will be 4 / 7 = 0.57 (rounded to the nearest hundredth).

So, the theoretical probability of drawing an A from the word 'ALABAMA' in decimal form, rounded to the nearest hundredth, is 0.57.

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Answer:

The reason why line is dashed because the inequality is indicating '<'.

Here, graphing a dashed line, then shading the area below the boundary line since y is less than x+2.

Step-by-step explanation:

Important things to observe when we graph the inequality.

Given the inequality

[tex]y\:<\:x\:+\:2[/tex]

The reason why line is dashed because the inequality is indicating '<'.

Here, graphing a dashed line, then shading the area below the boundary line since y is less than x+2.

The graph is attached below.

the volume of cube with edge length 11 m is [tex]Volume = 1331m^3[/tex] .

Step-by-step explanation:

Here  we have a side length of a cube as 11 m . We need to find the volume of cube . Let's find out:

We know that every side of a cube is identical and equal . And volume of cube is given by formula :

⇒ [tex]Volume = (side)^3[/tex]   ...........(1)

According to question we have following parameters as

[tex]side = 11m[/tex]

Putting this in (1)

⇒ [tex]Volume = (11m)^3[/tex]

⇒ [tex]Volume = 11(11)(11)m^3[/tex]

⇒ [tex]Volume = (121)(11)m^3[/tex]

⇒ [tex]Volume = 1331m^3[/tex]

Therefore , the volume of cube with edge length 11 m is [tex]Volume = 1331m^3[/tex] .

The volume of the cube is 1331 m³

Explanation:

Given:

side of the cube, a = 11m

Volume of the cube, v = ?

we know:

Volume of the cube = (a)³

V = (11m)³

V = 1331 m³

Therefore, the volume of the cube is 1331 m³

Answer:The answer is A

Step-by-step explanation:

The solution is x = -2/5.

The equation can be simplified by doing some algebra.

- 2/(x - 1) = 4

-2 = 4 (x-1)

-2 = 4x - 4

2 = 4x

x = 4/2

x= 0.5

An equation is a mathematical announcement that is made up of expressions connected by way of an identical sign. for instance, 3x – 5 = 16 is an equation. solving this equation, we get the fee of the variable x as x = 7.

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Answer: Mean= 82.8

Median= 95

Mode=100

Step-by-step explanation:

Mean is the average of the scores

Mean= 95+100+65+95+75+98+100+55+100+45 =828/10= 82.8

To get the median, we rearrange the numbers in either ascending or descending order.

45,55,65,75,95,95,98,100,100,100

Median= 95

Mode is the number that occurs most which is 100

Answer:

Answer: Mean= 82.8

Median= 95

Mode=100

Step-by-step explanation:

I got this correct, hope this helps:)

Answer:

5/6

Step-by-step explanation:

I hope this helps!

Answer:

5/6

Step-by-step explanation:

so for the first equation I would keep 1/3 the same

flip the division sign to multiplication

and turn the second fraction 4/10 upside down so it becomes 10/4

[tex]\frac{1}{3} *\frac{10}{4} =10/12[/tex]

10/12 can be simplified by dividing 2 on the numerator and denominator

10/2=5

12/2=6

5/6

for the second equation I know that each number in the first equation should be present in the second(since they are all the same numbers). However, 5/6 is not present in the second equation so that is the missing number

Hope this helps!

Answer:

d=5

Step-by-step explanation:

Answer:

1,200,000

Step-by-step explanation:

300,000 x 4

It doubles every 35 minutes so you multiply by 4

Answer:

X=600000

Step-by-step explanation:

Let the unknown value for 70minutes be x

So let's solve the given question

300000 bacteria is double in every 35minutes

So to solve we will have

300000 bacteria=35minutes

X bacteria=70 minutes

So let's cross multiply

35x=300000×70

Let's make x the subject of formula by dividing both sides by 35

X=300000×70/35

X=300000×2

X=600000

Therefore the population in 70 minutes is 600000

Answer:

16 degrees

Step-by-step explanation:

The question is

Find the measure of angle R

we know that

An exterior angle of a triangle is equal to the sum of the opposite interior angles

so

In this problem

[tex]m\angle N+m\angle R=109^o[/tex]

we have

[tex]m\angle N=93^o[/tex]

substitute

[tex]93^o+m\angle R=109^o[/tex]

[tex]m\angle R=109^o-93^o=16^o[/tex]

Answer: 16 degrees

Step-by-step explanation: 109-93 is 16

Answer:

x=9

Step-by-step explanation:

1.5x - 6 = 7.5

       +6    + 6

1.5x = 13.5

1.5x divided by 13.5 then equals 9

Answer: This question is impossible to answer if the original coordinate of D is not known

Step-by-step explanation: In order to answer this question you need to know what the coordinate of D is

The coordinates of D'' will be; (-2, 3)

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

We are given that Quadrilateral ABCD was transformed to create A'B'C'D'. If A'B'C'D' is reflected over the y-axis, then

A(-5,-3); B(-6,-1); C(-3,-1) ; D(-2,-3)

When a refection is done about x-axis, the values of the abscise x remain identical & the value of ordinate;

A(-5,-3); A'(-5,+3)

B(-6,-1); B'(-6,+1)

C(-3,-1); C'(-3,+1)

D(-2,-3); D'(-2,+3)

A'B'C'D' is translated 3 UNITS RIGHT, that means the ordinated of A'B'C'D' are the same but the abscises have been increased by 3 UNITS then the coordinates of D'' is (-2, 3)

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Answer:

Is there a graph that we need to look at

Answer:

The equation of the line in the slope-intercept form is y = [tex]\frac{4}{3}[/tex] x + 4 ⇒ A

Step-by-step explanation:

The slope-intercept form is y = m x + b, where

The formula of the slope of a line which passes through points [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

∵ The line passes through points (-6 , -4) and (0 , 4)

∴ [tex]x_{1}[/tex] = -6 and [tex]x_{2}[/tex] = 0

∴ [tex]y_{1}[/tex] = -4 and [tex]y_{2}[/tex] = 4

- Substitute them in the formula of the slope

∴ [tex]m=\frac{4--4}{0--6}=\frac{8}{6}[/tex]

- Simplify it by divide up and down by 2

∴ [tex]m=\frac{4}{3}[/tex]

∵ The slope-intercept form is y = m x + b

- Substitute the value of m on it

∴ y = [tex]\frac{4}{3}[/tex] x + b

∵ b is value y at x= 0

∵ At x = 0 , y = 4 ⇒ given point

∴ b = 4

- Substitute the value of b in the equation

∴ y = [tex]\frac{4}{3}[/tex] x + 4

The equation of the line in the slope-intercept form is y = [tex]\frac{4}{3}[/tex] x + 4

Answer:

The correct answer is D. 17.

Correct statement and question:

The area of a square whose side measures four units is added to the

difference of eleven and nine divided by two. What is the total value?

a. 9

b. 16

c. 5

d. 17

Source:

Previous question that can found at brainly

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Side of the square = 4 units

Area of the square = 4 * 4 = 16 units

2. What is the total value?

Difference of eleven and nine divided by two = (11 - 9)/2

Difference of eleven and nine divided by two = 2/2 = 1

Area of a square whose side measures four units is added to the

difference of eleven and nine divided by two = 16 + 1

Area of a square whose side measures four units is added to the

difference of eleven and nine divided by two = 17

The correct answer is D. 17

The combined result of the area of a square with a side of four units and the arithmetic expression (11 minus 9) divided by 2 is 17.

Calculating the Combined Area and Arithmetic Expression

To solve the given problem, we need to calculate the area of a square with a side of four units and add this to the arithmetic expression (11 minus 9) divided by 2. First, let's find the area of the square. The area of a square is found using the formula area = side × side. Therefore, the area of our square is 4 units × 4 units = 16 square units.

Next, we calculate the arithmetic expression. The difference of eleven and nine is 11 - 9 = 2, and dividing this by two gives us 2 / 2 = 1.

Finally, we add the area of the square to this result: 16 square units + 1 = 17. The final answer is 17.

Answer:

You need to provide the expressions you have to choose from.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

You travel 30 miles per (1) gallon!!!!! please give brainliest!!

Step-by-step explanation:

150/5=30

1.4375

Step-by-step explanation:

Step 1:

Let the given equation be     [tex]1+12(4X-6)=-2[/tex]

To find X simplification of terms using BODMAS ( Brackets Orders Division Multiplication Addition Subtraction) is done as follows.

Step 2:

Let us expand the equation as [tex]1+ (12*4X)-(12*6)=-2[/tex]

Step 3:

Let us expand it further as [tex]1+48X-72=-2[/tex]

Step 4:

To find X segregate X in one side and all other remaining terms in other side as follows

[tex]48X=-2+72-1[/tex]

After the simplification the numerical value is

[tex]48X=69[/tex]

Step 5:

Keep X along one side and bring 48 to the denominator of another side to find X as follows

[tex]X=69/48[/tex]

And the value of X is 1.4375

Answer:

x = 1 7/16

Step-by-step explanation:

1 + 1 2 ⋅ (4x − 6) = −2

Subtract 1 from each side

1-1 + 1 2 ⋅ (4x − 6) = −2-1

1 2 ⋅ (4x − 6) = −3

Distribute the 12

48x -72 = -3

Add 72 to each side

48x-72+72 = -3+72

48x =69

Divide by 48

48x/48 = 69/48

x =1 21/48

x = 1 7/16

Answer:

The point is [tex](2,-5)[/tex]

Step-by-step explanation:

we have

[tex]y+5=3(x-2)[/tex]

This is the equation of the line written in point slope form

so

[tex]y-y1=m(x-x1)[/tex]

where

The slope is equal to

[tex]m=3[/tex]

The point (x1,y1) is

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

therefore

The point is [tex](2,-5)[/tex]

(f·g)(x) is x^5 - 5x^4 + 4x³ - x² + 5x - 4

Step-by-step explanation:

(f·g)(x) = f(x)·g(x) = (x² - 5x + 4)(x³ - 1)

                          = x^5 - 5x^4 + 4x³ - x² + 5x - 4

                          = x^5 - 5x^4 + 4x³ - x² + 5x - 4

Answer:

the correct answer is supposed to be 2.2 pounds.

So, C. Carina should have subtracted 3.40 from 5.27.

Step-by-step explanation:

Tip - look up on brainly or some sort of browser before waste points on asking....

Here:

5.27= 3.40+ 0.85x, we have our total our price of one pineapple and our variable

next I isolate the variable:

5.27-3.40=0.85x

next:

1.87=0.85x

Answer

x= 2.2

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Answer:

Option C, Carina should have subtracted 3.40 from 5.27.

Step-by-step explanation:

Step 1:  Convert words into an equation

Carina spent a total of $5.27 buying a pineapple for $3.40 and some tomatoes that were on sale for $0.85 per pound.

3.40 + 0.85p = 5.27

Step 2:  Solve for p

3.40 + 0.85p - 3.40 = 5.27 - 3.40

0.85p / 0.85 = 1.87 / 0.85

p = 2.2

The error was found when she add 3.40 to 5.27 instead of subtracting.

Answer:  Option C, Carina should have subtracted 3.40 from 5.27.

Answer:

C 4.5 years

Step-by-step explanation:

54 divided by 12 ( because 12 months is a single year) is 4 years and 6 months and since 6 months is half of twelve months your answer would be 4.5 years.

The measure of each base angle is 56°.

Step-by-step explanation:

base angle + base angle + 68° = 180°

2x + 68° = 180°

2x = 112°

x = 112/2

x = 56°

Therefore, the measure of each base angle is 56°.

The required measure of each base angle is equal to 56°.

It involves understanding the properties of an isosceles triangle, which is the key to solving the problem. In an isosceles triangle, if two sides are equal, the angles opposite those sides are also equal.

Given that Kay is drawing a triangle with two equal sides of 8 cm and the angle between these sides measures 68°, the triangle is isosceles, and we know that the other two angles (the base angles) are equal due to this property.

The sum of all angles in any triangle equals 180°. Therefore, to find the measure of each base angle, we subtract the given angle from 180° and then divide by 2 (since the base angles are equal):

The sum of angles in a triangle = 180°.

The measure of the angle between the two sides = 68°.

The sum of the two base angles = 180° - 68° = 112°.

Measure of each base angle = 112° / 2 = 56°.

Therefore, the measure of each base angle in Kay's triangle is 56°.

Step-by-step explanation:

The given measurements are:

16 m, 21 m, 39 m

We know that, it is only possible to form a triangle if sum of the measures of any two lengths is always grater than the measure of third length.

[tex] \therefore \: 39 + 21 = 60 > 16 \\ \\ \: \: \: \: \: \: 16 + 39 = 55 > 21 \\ \\ \: \: \: \: \: \: 16 + 21 = 37 \ngtr39 \\ \\ \because \: last \: mathematical\: statement \: is \:\\ defying \: the \: above \: law \\ [/tex]

Therefore, it is not possible to form a triangle with given measurements.

The given lengths cannot form the sides of a triangle because they dont satisfy the sides of a triangle rule.

The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.

Given here, are the sides 16 m, 21 m , 39m

now if the two sides are 16, 21 then their sum is 16+21 = 37 but 37<39 thus combination of lengths cannot form a triangle

Hence, the lengths 16,21,39 cannot form the sides of a triangle

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Answer:

0.35

Step-by-step explanation:

Just divide 8.05 by 23

The answer you are looking for is 0.35.

To solve for any variable (N in this case) you must get it by itself, by doing the opposite operation. To do so for this problem, divide 23 from both sides. In doing so, N will be by itself, and you'd then just divide 23 from 8.05. Thus getting 0.35 as an answer.

I hope this helps!

Answer:

No

Step-by-step explanation:

Bag 1:

P(red) = 1/4

Bag 2:

P(red) = 4/16 = 1/4

Same probability so equally likely