You travel 150 miles on 5 gallons how far did you travel per gallon?

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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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

(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:

graph A

Step-by-step explanation:

Answer:

Graph B

Step-by-step explanation:

I did the practice on edg

Answer:

7

Step-by-step explanation:

The x-intercept is the x-value when y=0, so we plug in y=0,

x=-2(0)+7

x=0+7

x=7

So the x-intercept is 7

Answer:

X intercept is 7

Step-by-step explanation:

Answer:

x = - 2, x = 8

Step-by-step explanation:

The absolute value function always returns a positive value, but the expression inside can be positive or negative, thus

x - 3 = 5 OR - (x - 3) = 5

Solving both equations

x - 3 = 5 ( add 3 to both sides )

x = 8

OR

- x + 3 = 5 ( subtract 3 from both sides )

- x = 2 ( multiply both sides by - 1 )

x = - 2

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are solutions.

x = 8

| 8 - 3 | = | 5 | = 5 = right side

x = - 2

| - 2 - 3 | = | - 5 | = 5 = right side

Thus the solutions are x = - 2, x = 8

The equation given is the same as x - 3 = 5 or -(x - 3) = 5

Steps to solve:

x - 3 = 5

x - 3 + 3 = 5 + 3

x = 8

Steps to solve:

-(x - 3) = 5

-x + 3 = 5

-x + 3 - 3 = 5 - 3

-x = 2

-x/-1 = 2/-1

x = -2

Therefore, the solutions are x = 8 and x = -2

Best of Luck!

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:

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:

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:

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: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: I chose A and D but I'm not sure.

Answer:

The answers are A and D since A is the right equation and 89.3 is the right answer

Step-by-step explanation:

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:

infinitely many solutions

Step-by-step explanation:

1) distribute 9 to each term inside parenthesis on left side of equation

18x+90=2(9x+45)

2)now distribute 2

18x+90=18x+90

these equations are exactly the same! this means that this equation has infinitely many solutions

Hope this helps!

Answer:

infinite solutions

Step-by-step explanation:

9(2x + 10) = 2(9x+ 45)

Distribute

18x+90 = 18x +90

Subtract 18x from each side

18x-18x+90 = 18x-18x+90

90=90

Since this is always true, the equation has infinite solutions.

X can be any number

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

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°.

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:

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.

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

To find the missing number, you will need to divide the numbers you already have.

192 divided by 3 = 64

Your answer/length will be 64.

Area = 192

Width = 3

Length = 64

64 x 3 = 192

                                                                                Hope this helps :)

To determine the length of the rectangular piece of sheet metal with an area of 192 square centimeters and a given length-to-width ratio, solve for the width using the area formula, then use the ratio to find the length. The calculated length is 24 centimeters.

The problem involves finding the length of a rectangle given the area and the relationship between the length and width. Let's denote the width of the rectangle as w and the length as L. We are given that L = 3w and the area (A) of the rectangle is 192 square centimeters. The area of a rectangle is calculated by multiplying its length and width.

A = L x w

Substituting L from the given relationship into the area equation:

192 cm² = (3w) x w

Now we can solve for w:

192 cm² = 3w²

w² = 192 cm² / 3

w² = 64 cm²

w = 8 cm

Now, use the value of w to find L:

L = 3 x 8 cm

L = 24 cm

Therefore, the length of the rectangular piece of sheet metal is 24 centimeters.

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]

Answer:

d=5

Step-by-step explanation:

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:

Is there a graph that we need to look at

1. Simplify 2.1 * 1.8 to 3.78

-3.5 - 3.78

2. Simplify

-7.28

Answer: -7.28

Step-by-step explanation:

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: 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:

Width = 5 cm

Length = 7 cm

Step-by-step explanation:

Width = w

Length = 2w - 3

Perimeter = 24 cm

2* (length + width ) = 24

2*(2w-3 +w) = 24

2*(3w -3) = 24

3w - 3 = 24/2

3w - 3 = 12

3w = 12+ 3

3w = 15

w = 15/3

w = 5cm

Length = 2w - 3 = 2*5 - 3 = 10-3 = 7 cm

length = 7 cm

Answer:My guess is 185

Step-by-step explanation:

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!