How much did it cost Mark to drive 775 miles? If his car makes 31 mpg and fuel cost $2.00 per gallon.

Answer:

Step-by-step explanation:

Given  the inequality function 12x+7< -11 and 5x-8>40, we are to solve for the value of x. To solve for x, the following steps must be followed.

For the inequality 12x+7< -11

Step 1: Subtract 7 from both sides of the inequality

12x+7-7< -11-7

12x < -18

Step 2: Divide both sides of the inequality by 12

12x/12 < -18/12

x < -3/2 .............. 1

For the inequality 5x-8> 40;

Step 1: Add 8 to both sides of the inequality

5x-8+8 > 40+8

5x > 48

Step 2: Divide both sides of the inequality by 5

5x/5 > 48/5

x>48/5....... 2

Combining equation 1 and 2, we will have;

x < -3/2 and x>48/5

If x>48/5 then 48/5<x

Combining 48/5<x with x < -3/2  will give  48/5<x<-3/2

Answer:

there are no soulutions

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

It is helpful to understand that the product of the binomial factors is ...

  (ax +b)(cx +d) = ac·x² +(ad+bc)x +bd

For these problems you only need to look at the constant and the leading coefficient to find the missing values.

__

1. d = 8/-4 = -2

2. b = -24/(3·2·d) = -4; c = 3/(3·a) = 1

3. a = 2/c = 1; d = -24/b = 6

Answer:

360,000

Step-by-step explanation:

When you square something you multiply it by itself. With that in mind, 600 square or 600^2 would be 600x600 which equals 360,000. Please mark as brainliest.

Answer:

If it is a straight line then ;

RT= RS+ST

90=(7y+4) + (3y+6)

90 = 10y + 10

10y= 90 – 10

10y = 80

y= 80 / 10

y =8

ST = 3y+6= 3(8)+6= 24 +6 = 30

RS = 7y +4 = 7(8) + 4 = 56 +4 = 60

I hope I helped you^_^

Answer:

(1, 2)

Step-by-step explanation:

'Undo' the rule on the image to get the pre-image.

[tex](4,3)\rightarrow(4-3,3-1)\rightarrow\boxed{(1,2)}[/tex]

(1,2) would be the pre-image to (4,3).

To see if it's correct:

[tex](1,2)\rightarrow(1+3,2+1)\rightarrow(4,3)[/tex]

(1,2) should be correct.

Answer:

the correct answer is (1,2)

Step-by-step explanation:

Answer:

Interior angles are inside. Exterior angles are outside.

Step-by-step explanation:

"Interior" means inside. "Exterior" means outside.

Answer:

inside, outside

Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

The angle a tangent makes with a radius at the point of tangency is 90 deg.

There are three 90-deg angles in the quadrilateral, so the 4th angle must also measure 90 deg.

Answer: 90°

Based on the tangent theorem the measure of the circumscribed ∠X is: 90°.

The tangent theorem states that an angle of 90 degrees is formed at the point of tangency where a tangent meets the radius of a circle.

YX and WX are tangents of the circle.

m∠Y = m∠W = 90°

Sum of interior angles of a quadrilateral is 360°

m∠X = 360 - 90 - 90 - 90

m∠X = 90°

Therefore, based on the tangent theorem the measure of the circumscribed ∠X is: 90°.

Learn more about the tangent theorem on:

https://brainly.com/question/9892082

Answer:

C. 35

Step-by-step explanation:

x^2 + 12^2 = (x + 2)^2

x^2 + 144 = x^2 + 4x + 4

144 = 4x + 4

4x = 140

x = 35

Answer:

C

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem (a² + b² = c², in this case a = x, b = 12 and c = x + 2) to solve for x.

x² + 12² = (x + 2)²

x² + 144 = x² + 4x + 4

144 = 4x + 4

140 = 4x

x = 35

Answer:

10.5

Step-by-step explanation:

2/3=7/x

2x=21

x=21/2=10.5

Answer:

D. 769.7 ft^3

Step-by-step explanation:

because area of a solid is area of the base times the height, so to find the area of the base, it is pi*r^2(3.14*7^2), and that equals to 153.94, times that by 5 and you get 769.7 ft^3

Answer:

120°

Step-by-step explanation:

We can see that b=a by opposite exteriors.

So a+1/2a=180

1.5a=180

a=180/1.5=120

And since b and a are equal, b also equals 120°

Answer:

43y

Step-by-step explanation:

31y+12y

combine like terms

Factor out y

y( 31+12)

y (43)

43y

Since we are dealing with two numbers with the same variable (y), all we need to do is combine like terms.

31y + 12y = 43y

Best of Luck!

Answer:

Step-by-step explanation:

The question is not properly written. Here is the correct question.

You are the owner of Decorama Flooring. Tod and Claudia have asked you to give an estimate for tiling four rooms of their house. The living room is 15 feet*23 feet, dinning room is 12ft*18ft, the kitchen is 9ft*11 ft and the study room is 10ft*12 ft how many square ft of tiles are required for each room. (multiply length by the width).

We must understand that a floor tile is rectangular in nature.

Area of a rectangle = Length * width

To get the amount of square feet required for each room, we must multiply the length and width of each of the rooms together as shown.

For the living room;

Length = 15 feet and Width = 23 feet

Amount of square feet of tiles needed for the living room = 15feet * 23 feet

= 345 ft²

For the dining room;

Length = 12 feet and Width = 18 feet

Amount of square feet of tiles needed for the dining room = 12feet * 18 feet

= 216 ft²

For the kitchen;

Length = 9 feet and Width = 11 feet

Amount of square feet of tiles needed for the kitchen = 11feet *9feet

= 99 ft²

For the study room;

Length = 10 feet and Width = 12 feet

Amount of square feet of tiles needed for the study room = 10feet * 12 feet

= 120 ft²

Part G

The two angles ABD and DBC form a straight line, so the angles add to 180 degrees.

Let's solve for x.

angle ABD + angle DBC = 180

(0.5x+20) + (2x-10) = 180

2.5x+10 = 180

2.5x = 180-10

2.5x = 170

x = 170/2.5

x = 68

Then we'll use this to find angle ABD

angle ABD = 0.5*x + 20

angle ABD = 0.5*68 + 20

angle ABD = 34 + 20

angle ABD = 54

============================================================

Part H

Use the value of x we found back in part G to find the measure of angle DBC

angle DBC = 2x - 10

angle DBC = 2(68) - 10

angle DBC = 136 - 10

angle DBC = 126

An alternative is to subtract the measure of angle ABD from 180

angle ABD + angle DBC = 180

angle DBC = 180 - (angle ABD)

angle DBC = 180 - 54

angle DBC = 126

============================================================

Part I

This time, the two angles add to 90 degrees as shown by the square corner marker.

(angle XYW) + (angle WYZ) = 90

(1.25x - 10) + (0.75x + 20) = 90

2x + 10 = 90

2x = 90-10

2x = 80

x = 80/2

x = 40

which then leads to,

angle XYW = 1.25*x - 10

angle XYW = 1.25*40 - 10

angle XYW = 50 - 10

angle XYW = 40

============================================================

Part J

We can subtract the result of part I from 90 degrees to get the answer

angle WYZ = 90 - (angle XYW)

angle WYZ = 90 - 40

angle WYZ = 50

Or we could plug the x value x = 40 into the expression for angle WYZ

angle WYZ = 0.75*x + 20

angle WYZ = 0.75*40 + 20

angle WYZ = 30 + 20

angle WYZ = 50

============================================================

Summary:

The answers we found were

Answer:

G. m∠ABD = 54°

H. m∠DBC = 126°

I. m∠XYW = 40°

J. m∠WYZ = 50°

Step-by-step explanation:

∠ABD and ∠DBC are supplementary angles. This means their angles have a sum of 180°.

[tex]\frac{1}{2}x+20+2x-10=180\\\frac{5}{2}x+10=180\\\frac{5}{2}x=170\\x=68[/tex]

m∠ABD = 1/2(68) + 20 = 34 + 20 = 54

m∠DBC = 2(68) - 10 = 136 - 10 = 126

Same concept for ∠XYW and ∠WYZ only this time they are complementary angles. This means their angles have a sum of 90°.

[tex]1\frac{1}{4}x-10+\frac{3}{4}x+20=90\\2x+10=90\\2x=80\\x=40[/tex]

m∠XYW = 1 1/4(40) - 10 = 50 - 10 = 40

m∠WYZ = 3/4(40) + 20 = 30 + 20 = 50

Answer:  Irrational

==========================================================

Explanation:

Let's assume that pi+1 is rational

If so, then pi+1 = m/n where m and n are integers and n is not zero.

Let's isolate pi

pi+1 = m/n

pi = (m/n) - 1

pi = (m/n) - (n/n)

pi = (m - n)/n

This says that pi is rational, as it's in the form integer/integer. But in reality, pi is irrational. The decimal form of pi goes on forever without any known pattern.

So going back to the assumption where we said "pi+1 is rational", that assumption can't be true. If it were true, then it leads to a contradiction. Therefore, pi+1 is irrational.

[tex]\huge\text{Hey there!}[/tex]

[tex]\boxed{\huge\text{\boxed{\mathsf{\pi + 1}}}}\\\boxed{\boxed{\huge\text{\boxed{= \mathsf{3.141593 + 1}}}}}\\\\\boxed{\boxed{\huge\text{\boxed{= \bf 4.141593}}}}\\\\\boxed{\huge\text{\boxed{\pi \approx \bold{3.14}\ \& \ 3.14 + 1\ is \approx \bf \underline{\underline{4.14}}}}}[/tex]

[tex]\huge\bullet\huge\text{ Pi \boxed{\pi} is an irrational number so any}\\\huge\text{real numbers (0 \& up) cannot be}\\\huge\text{indicated (expressed) by the clearer}\\\huge\text{(simple) fraction\bf (s)}[/tex]

[tex]\boxed{\boxed{\huge\text{To \underline{ANSWER} Your question it is: \bf \underline{\underline{irrational}}}}}\huge\checkmark[/tex][tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]~[tex]\boxed{\huge\text{\boxed{\frak {Amphitrite1040:)}}}}[/tex]

Answer:

Option (B)

Step-by-step explanation:

From the picture attached,

NL and KM are the two lines intersecting at a point P.

Therefore, ∠KPN ≅ LPM [Vertical angles]

In ΔPLM,

m∠LPM + m∠PML + m∠PLM = 180° [Property of a triangle]

m∠LPM + 70° + 60° = 180°

m∠LPM + 130° = 180°

m∠LPM = 180° - 130°

m∠LPM = 50°

Therefore, m∠KPN = 50° [vertical angles]

Option (B) will be the correct option.

The value of KPN will be 50°.

It should be noted that the sum of the angles that are in a triangle is 180°.

Therefore, looking at the angles, the measure of KPN will go thus:

KPN + 70° + 60° = 180°

KPN + 130° = 180°

KPN = 180° - 130°

KPN = 50°

Therefore, KPN will be 50°.

Read related link on:

https://brainly.com/question/17226102

Answer:

A = 36 cm^2

Step-by-step explanation:

The perimeter of a square is given by

P =4s

24 = 4s

Divide by 4

24/4 = 4s/4

6 =s

The area of a square is

A =s^2

A = 6^2

A = 36 cm^2

Answer:

T'(-1, -3)

U'(-8, -3)

V'(-9, -10)

W(1, -10)

Step-by-step explanation:

For each point, draw a segment from it to the line y = -x and perpendicular to the line, and extend it the same distance to the other side of the line.

T'(-1, -3)

U'(-8, -3)

V'(-9, -10)

W(1, -10)

Answer:

108º

Step-by-step explanation:

subtract outer angle from circle

360º - 252º = 108º

I hope this helps you

find DCG

360-252=108°

angle DBG=1/2(252-108)

angle DBG=72°

Answer:

Step-by-step explanation:

this app is useless don't use it for math probs it doesn't help at all just stay on your work hoped this helped

Hello!

Answer:

[tex]\huge\boxed{59.04 units}[/tex]

To solve, we will need to use Right-Triangle Trigonometry:

Begin by solving for angles ∠S and ∠R using tangent (tan = opp/adj)

tan ∠S = a / (1/2b)

tan ∠S = 3√5 / 14

tan ∠S ≈ 0.479

arctan 0.479  = m∠S (inverse)

m∠S and m∠R ≈ 25.6°

Use cosine to solve for the hypotenuse, or the missing side-length:

cos ∠S = 14 / x

x · cos (25.6) = 14

x  = 14 / cos(25.6)

x ≈ 15.52

Both triangles are congruent, so we can go ahead and find the perimeter of the figure:

RS + RQ + QS = 28 + 15.52 + 15.52 = 59.04 units.

Hope this helped you! :)

Answer:

[tex]\large \boxed{\mathrm{59.05 \ units}}[/tex]

Step-by-step explanation:

Take one small triangle, solve for hypotenuse.

[tex]\frac{b}{2} =\frac{28}{2} =14[/tex]

Use Pythagorean theorem.

[tex]c=\sqrt{(3\sqrt{5})^2 +14^2 }[/tex]

[tex]c= 15.524175...[/tex]

Add the hypotenuse twice because there are two triangles, then add to the length of b to find the perimeter.

[tex]15.524175...+15.524175...+28[/tex]

[tex]59.048349...[/tex]

Answer:

B

Step-by-step explanation:

This rectangle appears to have 7 boxes on the bottom, and 3 box for the side.

Since area is base×height

It would be 7×3

Answer:

[tex]a \: and \: b = \frac{5}{ \sqrt{2} } [/tex]

Step-by-step explanation:

[tex] \sin(45) = \frac{a}{5} \\ \frac{1}{ \sqrt{2} } = \frac{a}{5} \\ a = \frac{5}{ \sqrt{2} } \\ \\ \\ \\ \sin(45) = \frac{b}{5} \\ b = \frac{5}{ \sqrt{2} } [/tex]

I hope I helped you^_^

Answer:

Real and unequal

Step-by-step explanation:

We are tasked with finding the nature of the roots of the given quadratic equation.

The given quadratic equation is;

x^2 -5x -7

Firstly, we should know that we cannot solve this by factorization, as we will run into problems.

Now the catch is, although we cannot solve by factorization, we can solve by using the quadratic formula.

Now let’s check if our roots are imaginary or real.

For the roots to be imaginary or real, we will work with calculating the value of the expression b^2 -4ac

The value of this would tell us the nature of the roots. While a negative value would tell us the roots are imaginary, a positive value will tell us the roots are real.

So from the question, b = -5( coefficient of x) , while c = -7 and a = 1 ( coefficient of x^2)

Plugging these values into the equation, we have;

-5^2 - 4(1)(-7) = 25 + 28 = 53

This tells us the roots are real

The last issue is to know if the roots are equal or not.

The roots cannot be equal. This is because the term b^2 - 4ac would be in the root and yield a positive and a negative value which cannot give equal answers when added to (-b)

This from the quadratic formula;

x = {-b ± √(b^2-4ac)}/2a

Answer:

  y = (x -1)² -3

Step-by-step explanation:

A quadratic with a vertex at (h, k) will have an equation of the form ...

 y = a(x -h)² +k

You have (h, k) = (1, -3), and a vertical scale factor* of 1. So, the equation of the graphed curve is ...

  y = (x -1)² -3

_____

* One way to determine the value of "a" in the form shown is to look at the vertical difference between the vertex and the points 1 unit right or left of the vertex. Here, those points are 1 unit above the vertex, so the vertical scale factor "a" is 1.

Answer:

[tex]D = 170\º[/tex]

Step-by-step explanation:

Given

Shape: Pentagon

[tex]A = 87\º[/tex]

[tex]B = 125\º[/tex]

[tex]C = 63\º[/tex]

[tex]E = 95\º[/tex]

Required

Find D

From the sum of angles in a Pentagon; we have that

[tex]A + B + C + D + E = 540[/tex]

Substitute values for A, B, C and E

[tex]87\º + 125\º + 63\º + D + 95\º = 540\º[/tex]

Collect Like Terms

[tex]87\º + 125\º + 63\º + 95\º + D = 540\º[/tex]

[tex]370\º + D = 540\º[/tex]

Collect Like Terms

[tex]D = 540\º - 370\º[/tex]

[tex]D = 170\º[/tex]

Hence, from the list of given options, the correct answer is 170

Answer:

200

Step-by-step explanation:

i multiplied the answer choices by the fractions and 200 was the one that checked out

Answer:

as written

[tex]\frac{6}{x} -3[/tex]  zero would not be allowed....

BUT !!! I think that your question

is ......

[tex]\frac{6}{x-3}[/tex]    then the answer is "3"

Step-by-step explanation: