Benito wants to buy a car. He is considering two different models, Model Ais 5 ft wide. Model B is 87 in, wide. Express the width of each car in ft using a decimal. Which car is wider?

Step-by-step explanation:

[tex] \tt{2 {x}^{2} + 5x - 3 = 0}[/tex]

⇢ [tex] \sf{2 {x}^{2} + 5x + ( - 3) = 0}[/tex]

Here , a = 2 , b = 5 & c = -3 {a is the coefficient of x² , b is the coefficient of x and c is the constant term }

Now ,

[tex] \tt{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }[/tex]

⇢ [tex] \tt{x = \frac{ - 5± \sqrt{ {5}^{2} - 4 \times 2 \times ( - 3) } }{2 \times 2} }[/tex]

⇢ [tex] \sf{ x= \frac{ - 5±7}{4} }[/tex]

Taking positive ( + ) sign :

⇝[tex] \tt{x = \frac{ - 5 + 7}{4} = \frac{1}{2}} [/tex]

Taking negative ( - ) sign :

⇝[tex] \tt{x = \frac{ - 5 - 7}{4} = - 3}[/tex]

[tex] \purple{ \boxed{ \boxed{ \tt{⤑ \: Our \: final \: answer : \boxed{ \underline{ \tt{x = \frac{1}{2} , \: - 3}}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

area of the original square = 36 in²

Step-by-step explanation:

given data

one side is increased = 9 inches

other side is decreased = 2 inches

area of the resulting rectangle = 60 in²

solution

we consider here x as the length of any one side

and

longer side of the resulting rectangle = x + 9

and

the shorter side x - 2

so that area of this rectangle is (s+9) × (s-2) = 60 in²

standard form of equation is  x² + 7x - 18 = 60   .....................1

it will be

x² + 7x - 78 = 0

(s+13) (s-6) = 0

so that here x  = -13

and  x = 6

here we Discard x = -13 because the side length cannot be negative.

so x = 6

and area of the original square = 36 in²

Answer:

Rewrite the equation as y−6=35 .

y−6=35

Move all terms not containing y to the right side of the equation.

y=41

Step-by-step explanation:

Answer:

$151

Step-by-step explanation:

225 = 74 + m

- subtract 74 from both sides

225-74 = 74-74 +m

1. 151 = 74 - 74 + m

2. 151 = 0 + m

the 0 is irrelevant so you can remove it and you get

151 = m

the correct way to write it would be:

m = 151

Answer:

150 ________//_/___________///////

Answer:

rational as it can be expressed as the quotient of two integers

Answer:

that is a rational number

Step-by-step explanation:

A rational number is a number that can be express as the ratio of two integers. ... Likewise, any integer can be expressed as the ratio of two integers, thus all integers are rational.

Example: 17 and −34 are rational numbers. (Note that there is more than one way to write the same rational number as a ratio of integers. For example, 17 and 214 represent the same rational number.) All integers are rational numbers.

An irrational number is real number that cannot be expressed as a ratio of two integers. ... The number "pi" or π (3.14159...) is a common example of an irrational number since it has an infinite number of digits after the decimal point. Many square roots are also irrational since they cannot be reduced to fractio

Answer:

Step-by-step explanation:

60+30=90

180-90=90

60+30+90=180

so the x is 90

Answer:

x=3.5 if rounded if not than 3.4

Step-by-step explanation:

Answer:

X^2+13x+40=area

Step-by-step explanation:

So its

(x+8)*(x+5)

Now solve

Use FOIL

x^2+5x+8x+40

Now combine

x^2+13x+40

There you have it

9514 1404 393

Answer:

  15.8°

Step-by-step explanation:

The relationship between angle trig functions and sides of a right triangle is summarized in the mnemonic SOH CAH TOA. Here, we're given the side opposite the angle (the height of the deck), and the side adjacent to the angle (the horizontal distance). So, the applicable relation is ...

  Tan = Opposite/Adjacent

  tan(angle) = 1450/5128

Then the angle is found using the inverse tangent function:

  angle = arctan(1450/5128) ≈ 15.8°

The angle of depression is about 15.8°.

Answer:

Height = 5 ft

Base = 11 ft

Step-by-step explanation:

The area of a parallelogram is

Base × Height

From the question:

The base of a parallelogram is 6 ft more than the height.

Base = 6ft + h

If the area of the parallelogram is 55 ft^2​,

what are the measures of the base and the​ height?

This is calculated as:

55 ft² =( 6 + h ) × h

55 = 6h + h²

h² + 6h - 55 = 0

h² +5h - 11h - 55 = 0

h(h + 5) - 11(h + 5) = 0

(h + 5)(h - 11) = 0

h - 11 = 0

height = 5ft

Base = 6 + h = 6 + 5

Base = 11ft

Answer:

B

Step-by-step explanation:

B is the only choice that has both all of the steps, and all of the steps in the right order.

Answer:

21

Step-by-step explanation:

Answer:

142

Step-by-step explanation:

opposite angle theorem

Answer:

D. 142

Step-by-step explanation:

They are vertical angles which are always equal

Answer:

2

Step-by-step explanation:

It could be 190 because its a half measure                    

Step-by-step explanation:

I don't know what you need to do. Have you studied the quiz or more specific have you studied the questions that you have problems with? Also make sure you have enough sleep and have healthy food. You don't have to do read what I say(type) but it could help you.

Answer:

yeah, Geometry is not that easy. I struggled a bit in Geometry, too. You have to study a lot. Im an Algebra person im good with equations. Geometry has to many rules and theorems and other stuff you need to remember. Try studying. If you Need help you can comment for help and i will try to help you with what i can.  Im in 10th grade but i have Algebra 2. Also, i have a Geometry book with other stuff, etc... I'll be glad to help you if i can.

Step-by-step explanation:

Answer:

She has 17 turtles

Step-by-step explanation:

You have to divide 102 by 6 which equals 17.

Answer:

It would require 4 days.

If there are 18 machines. Then the number of days would it take for them to finish the same task will be 4 days.

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

Time is inversely proportional to the number of the machines.

T ∝ 1/M

If the proportionality is removed, then a constant k is introduced.

Suppose that 8 machines can complete a certain task in 9 days.

Then the amount of the total work that is k will be

k = 8 x 9

k = 72

If there are 18 machines.

Then the number of days would it take for them to finish the same task will be

T = 72 / 18

T = 4 days

The number of days would it take for them to finish the same task will be 4 days.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

8 but you would have a remainder of 1

Step-by-step explanation:

4x8 is 32 so 8 r1

Answer:

1

Step-by-step explanation:

so we have:

f+2>5 2 goes the other side, so

f>5-2

f>3

f+4<9 4 goes to the other side, so

f<9-4

f<5

we have two inequality

f>3

f<5

f belongs (3,5), we have only one value for this, it is 4

Answer:

(5,-6) I think

Step-by-step explanation:

Answer:  p=122

Step-by-step explanation:

Answer:

P = 112⁰

see in the picture, MNPQ is a parallelogram

=> M = P

<=> 6x - 2 = 4x + 36

<=> 2x = 38

<=> x = 19

with x = 19 => P = 4.19 + 36 = 112⁰

Answer:

Use the linear pair axiom

answer will be 35 degrees

Answer:

(6,3)

Step-by-step explanation:

Here is the system of equations:

x+3y=15

4x+2y=30

Since we have x with a coefficient of 1 in the first equation, let's use substitution to solve this system.

In the first equation, subtract 3y from  both sides

x=-3y+15

now substitute -3y+15 as x in the second equation, and solve for y

4(-3y+15)+2y=30

do distributive property

-12y+60+2y=30

combine like terms

-10y+60=30

subtract 60 from both sides

-10y=-30

divide by -10

y=3

Now, substitute y as 3 into either one of the equations to solve for x.

For example, let's use x=-3y+15

x=-3(3)+15

multiply

x=-9+15

x=6

The answer is x=6 and y=3. As a point it's (6,3)

Hope this helps!

Answer:

The medians of all three teams can show the overall skill level of the teams. For example, the medians only vary between 47 and 48. This can show that most team members have around the same experience (since they have around the same median). The red team was the best in terms of time, but they don't vary much from their opposing teams.

Step-by-step explanation:

(Can also add more references to the chart and rank the teams in term of time )

Answer:

-14/25

Step-by-step explanation:

:D

Answer I think and you can't get help on a quiz

Answer:

cx

Step-by-step explanation:

g

Answer:

B.

Step-by-step explanation:

Using the lines they start and end on,

-1 plus 1 equals 0

Therefore, B. will be your answer!

Sorry this is very blunt, lol

Answer:

therefore B us ur answer

Step-by-step explanation:

Hey ..but there is nothing from which question can be equated ..

like if they are equal to zero..

or

(4x+45)=(5x-18)

i am giving answer for both scenarios

(4x+45)=0

4x=-45

x=-45/4

x=(-11.25)

(5x-18)=0

5x=18

x=18/5

x=3.6

Incase if they both are equal to each other...

(4x+45)=(5x-18)

(45+18)=(5x-4x)

63=x

x=63

Hope it helps you

Have a nice day