The length of a rectangular frame is represented by the expression 2x 10, and the width of the rectangular frame is represented by the expression 2x 6. Write an equation to solve for the width of a rectangular frame that has a total area of 140 square inches. 4x2 32x − 80 = 0 4x2 32x 60 = 0 2x2 32x − 80 = 0 x2 16x 60 = 0.

Answer:

C. Point is a defined term

Step-by-step explanation:

kleann

Answer:

150ft^2

Step-by-step explanation:

FINDING THE LENGTHS

50 = x + 5 + x + x + 5 + x

50 = 4x + 10

50 - 10 = 4x

40 = 4x

40/4 = x

10ft = x

AMOUNT OF FLOORING

area = l x b

= (10 + 5) x 10

= 15 x 10

= 150ft^2

Answer:

=0

Step-by-step explanation:becase I got it right on a test

Answer:

Multiply those side lengths using the F.O.I.L method (first-outer-inner-last). Write it longhand then simplify if that’s what is needed.

(x+5)(x-5) = x^2 -5x + 5x -25

the -5x and + 5x cancel each other so it simplifies to x^2 - 25 units squared.

Answer:

Radioactive in half life is 51gram

Step-by-step explanation:

80grams:12years

X :7.6years

12x÷x=x

7.6×80÷12=51gram

Answer:

239 grams.

Step-by-step explanation:

Half life t(1/2) = ln 2 / k

So 7.6 = ln 2 / k

k = ln 2 / 7.6 = 0 0901204

N = No e^-kt

So after 12 years

80 = No / e^(-0.0901204*12)

No = 80 / e^(-0.0901204*12)

= 239.

The direct variation that of the speed to the skid length implies that the speed increases as the length increases

The car would be traveling at 59.96 mph

A direct variation that illustrates the speed of the skidding car is:

s = k√l

Where:

Make k the subject in s = k√l

k = s /√l

Rewrite as:

s₁ /√l₁ = s₂ /√l₂

Substitute known values

40 /√178 = s₂ /√400

Evaluate the square root of 40

40 /√178 = s₂ /20

Multiply both sides by 20

800 /√178 = s₂

Evaluate the quotient

s₂ = 59.96

Hence, the car would be traveling at 59.96 mph

Read more about direct variation at:

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Answer:

y = (2/15) x -(117/15)

Step-by-step explanation:

To write the equation we should know the slope m and the y-intercept b .

m= (y2-y1)/(x2-x1)

For points (x1 = -9, y1 = -9) and (x2 = 6, y2 = -7)

m = (-7 - - 9)/(6 - - 9) = (-7 + 9)/(6 +9) = 2 / 15

The general equation of a line is

y= mx + b

Our equation is

y = (2/15) x +b

To find b, substitute one of the two points, we know are on the line, in our equation. For example, we can substitute point (-9,-9)

-9 = (2/15) (-9) +b , multiply -9 by 2/15

-9 = - (18/15) +b, add -18/15 on both sides

-9 + (18/15) = b, find common denominator and add

[(-9 ·15) +18]/15 = b , simplify

-117/15 = b

So our equation is:

y = (2/15) x -(117/15)

Answer: 50 students

Step-by-step explanation:

You know that the number of students last year plus 20% of that number equals the number of students this year, which can be written as: x + 0.2x = 60 →

1.2x = 60 → x = 50 students :)

Answer: 50 students

Step-by-step explanation:

x + .2x = 60

1.2x = 60

x = 60/1.2

x = 50

Answer:

Step-by-step explanation:

This is kinda confusing give me a second

Answer:

1. [tex] \theta = 61.9^\circ [/tex]

2. [tex] x = 23.7~cm [/tex]

Step-by-step explanation:

Problem 1.

Use the Law of Sines.

This is SSA.

[tex]\dfrac{a}{\sin A} = \dfrac{c}{\sin C}[/tex]

[tex] \dfrac{31.2~cm}{\sin 51^\circ} = \dfrac{35.4~cm}{\sin \theta} [/tex]

[tex] \sin \theta = \dfrac{35.4~cm \times \sin 51^\circ}{31.2~cm} [/tex]

[tex] \sin \theta = 0.88176 [/tex]

[tex] \theta = \sin^{-1} 0.88176 [/tex]

[tex] \theta = 61.9^\circ [/tex]

Problem 2.

m<A + m<B + m<C = 180°

m<A + 67° + 58° = 180°

m<A = 55°

Use the Law of Sines.

[tex]\dfrac{a}{\sin A} = \dfrac{c}{\sin C}[/tex]

[tex]\dfrac{x}{\sin 55^\circ} = \dfrac{24.5}{\sin 58^\circ}[/tex]

[tex]x = \dfrac{\sin 55^\circ \times 24.5}{\sin 58^\circ}[/tex]

[tex] x = 23.7~cm [/tex]

Answer: 58 1/3 in^3.

Step-by-step explanation: To find the volume of a pyramid, you need to multiply the length, width, and height and divide it by 3.  The length and width are both 5 and the height is 7, so the equation is 5 x 5 x 7.  The answer to that is 175.  Now, you have to divide 175 by 3, which is 58.33, or 58 1/3, which is your answer.

Let me know if this is right! :)

Answer:

  360 inches

Step-by-step explanation:

Each foot is 12 inches. The number of inches in 30 feet is found by multiplying the number of inches in 1 foot by 30.

  30 × (12 inches) = 360 inches

Answer:

40

Step-by-step explanation:

the easiest way to solve this equation is to divide 10 by .25 since, in this situation, all that is being bought are stickers

10/.25=40

hope this helps

Answer:

B  Debit Card

Step-by-step explanation:

When you use a debit card money comes out of your checking account

Answer:

a credit card

Step-by-step explanation:

because I think it makes sense

Answer: y = x + 6

Step-by-step explanation:

[tex]\mathrm{Find\:the\:line\:}\mathbf{y=mx+b}\mathrm{\:perpendicular\:to\:}y=-x-2\mathrm{\:that\:passes\:through\:}\left(-2,\:4\right)[/tex]

[tex]\mathrm{For\:a\:line\:equation\:for\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is\:}\mathbf{m}[/tex]

[tex]m=-1[/tex]

[tex]\mathrm{The\:perpendicular\:slope\:is\:the\:negative\:reciprocal\:of\:the\:given\:slope}[/tex]

[tex]\left(-1\right)m_p=-1[/tex]

[tex]\frac{\left(-1\right)m_p}{-1}=\frac{-1}{-1}[/tex]

[tex]m_p=1[/tex]

[tex]\mathrm{Compute\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:for\:slope\:m=}1\mathrm{\:and\:passing\:through\:}\left(-2,\:4\right)[/tex][tex]\mathrm{Plug\:the\:slope\:}1\mathrm{\:into\:}y=mx+b[/tex]

[tex]y=x+b[/tex]

[tex]\mathrm{Plug\:in\:}\left(-2,\:4\right)\mathrm{:\:}\quad \:x=-2,\:y=4[/tex]

[tex]4=\left(-2\right)+b[/tex]

[tex]-2+b=4[/tex]

[tex]\mathrm{Add\:}2\mathrm{\:to\:both\:sides}[/tex]

[tex]-2+b+2=4+2[/tex]

[tex]\text{Simplify}[/tex]

[tex]b=6[/tex]

[tex]\mathrm{Construct\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:where\:}\mathbf{m}=1\mathrm{\:and\:}\mathbf{b}=6[/tex]

[tex]y=x+6[/tex]

is there a value to y? if not, this is what I got:

Y^2 + 2y + 3

Answer:

It’s irrational hope this is correct

Step-by-step explanation:

Answer:

rational

Step-by-step explanation:

Convert both to decimals

[tex]\\ \rm\Rrightarrow x=0.147147\dots [/tex]

[tex]\\ \rm\Rrightarrow 1000x=147.147..[/tex]

Hence..

On similar way we can get second one

So if

Then

The probability of wearing a red shirt and a black jean is the likelihood of the shirt and jean

The probability of wearing a red shirt and a black jean is is 1/6

From the tree diagrams, we have the following parameters

Total combination = 6

Red shirt and Black Jean = 1

The probability of wearing a red shirt and a black jean is calculated as:

P = n(Red shirt and Black Jean)/Total combination

This gives

P = 1/6

Hence, the probability of wearing a red shirt and a black jean is is 1/6

Read more about probability at:

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Answer:

33.3 is your answer

Step-by-step explanation:

The surface area of the smaller cone A₁ is approximately 33.3 cm² when rounded to the nearest tenth.

A cone is a three-dimensional geometric form with a flat base and a smooth, tapering apex or vertex. A cone is made up of a collection of line segments, half-lines, or lines that link the base's points to the apex, which is a common point on a plane that does not include the base.

Two cones A₁ and A₂ are similar.

The radius of A₁ = 2 cm

radius of A₂ = 3 cm

The surface area of A₁ = ? cm²

surface area of A₂ = 75 cm²

Since the cones A₁ and A₂ are similar, their corresponding sides are proportional.

Specifically, the ratio of their radii is the same as the ratio of their surface areas. That is,

(radius of A₁) / (radius of A₂) = (surface area of A₁) / (surface area of A₂)

We can use this relationship to solve for the surface area of A₁:

(surface area of A₁) = (radius of A₁ / radius of A₂)^2 × (surface area of A₂)

Substituting the given values, we get:

(surface area of A₁) = (2/3)² × 75

(surface area of A₁) = 4/9 × 75

(surface area of A₁) ≈ 33.3 cm²

Therefore, (surface area of A₁) ≈ 33.3 cm²

To learn more about the cone;

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#SPJ7

Answer:

$9,600

Step-by-step explanation:

notebook computer : $300

laptop computer : $350

18 x 300 = 5,400

12 x 350 = 4,200

4,200 + 5,400 = 9,600

Triangle MNP with the vertices M(-6,-8) N(-1,-6) and P(-2,-8) is reflected across the line y= -5 to give M'(-6, -2), N'(-1, -4) and P'(-2, -2)  

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Triangle MNP with the vertices M(-6,-8) N(-1,-6) and P(-2,-8) is reflected across the line y= -5 to give M'(-6, -2), N'(-1, -4) and P'(-2, -2)  

Find out more on transformation at: https://brainly.com/question/4057530

Answer:

G

Step-by-step explanation:

The answer is statement G

Answer:

The number 3,822 is divisible by 3 and is not divisible by 9, because the sum of the digits is 3 + 8 + 2 + 2, which equals 15, and 15 is divisible by 3 but not by 9.

Answer:

C. 15%

Step-by-step explanation:

35 * 0.15 = 5.25

35 - 5.25 = 29.75

A percentage is a way to describe a part of a whole. The percentage of discount on the swimsuit is 15%.

A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

We know that the cost of the swimsuit is $29.75, while the original cost of the swimsuit is $35. Now, after the discount the price will be a percentage of the original, therefore, the discounted price can be written as,

Discounted Price = x% of Original Value

[tex]29.75 = \dfrac{x}{100} \times 35\\\\x = 85[/tex]

Now, as we know that the discounted price is 85% of the original price, therefore, the price will have a 15% discount(100%-85%).

Hence, the percentage of discount on the swimsuit is 15%.

Learn more about Percentages:

https://brainly.com/question/6972121

Answer:

AROUND $0.20 per mile

Step-by-step explanation:

605/3052 is around 0.198, which rounds to 0.20.

Answer:

Straight along the horizontal axis

Step-by-step explanation:

Hope this helped :)

Answer:

-20

Step-by-step explanation:

when you solve:  -7u-7=7, you get u= -2 and when you plug it in you get this equation 9(-2)-2=?

then you get -20

Hey there!

-7u - 7 = 7

ADD 7 to BOTH SIDES

-7u - 7 + 7 = 7 + 7

CANCEL out: -7 + 7 because it give you 0

KEEPs 7 + 7 because it help solve for the u-value

NEW EQUATION: -7u = 7 + 7

SIMPLIFY IT!

-7u = 14

DIVIDE -7 to BOTH SIDES

-7u/-7 = 14/-7

CANCEL out: -7/-7 because it give you 0

KEEP: 14/-7 because it give you the

u-value

NEW EQUATION: u = 14/-7

SIMPLIFY IT!

u = -2

SOLVING FOR : 9u - 2

9u - 2

= 9(-2) - 2

= -18 - 2

= -20

Therefore, your answer is: -20

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)