In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer . Roy answered all the questions and scored 30 marks though she got 10 correct? Find the total number of sums .

Answers

Answer 1

Answer:

20 questions

Step-by-step explanation:

Given

[tex]Correct \Marks= +5[/tex]

[tex]Incorrect\ Marks= -2[/tex]

[tex]Score\ Obtained = 30[/tex]

[tex]Number\ of\ correct\ answers = 10[/tex]

Required

Number of questions answered

First, we need to get the total correct marks obtained by Roy

This is calculated by multiplying the correct marks by number of correct answers

[tex]Total = +5 * 10[/tex]

[tex]Total = +50\ marks[/tex]

Subtract this from the total scores obtained; This gives the total incorrect answer obtained by Roy

[tex]Incorrect = Scores\ Obtained - Total[/tex]

[tex]Incorrect = 30 - (+50)[/tex]

Open bracket

[tex]Incorrect = 30 - 50[/tex]

[tex]Incorrect = -20[/tex]

Divide this by -2 to get the number of incorrect answers

[tex]Incorrect\ Answers = \frac{-20}{-2}[/tex]

[tex]Incorrect\ Answers = 10[/tex]

Add this to the number of correct answers to give the total number of question answered

[tex]Total = Correct\ Answers + Incorrect\ Answers[/tex]

[tex]Total = 10 + 10[/tex]

[tex]Total = 20[/tex]

Hence, Roy answered a total of 20 questions


Related Questions

Two angles are supplementary one angle is 2/3 the measure of the other one find both angles

Answers

Answer:

The measures are 108 deg and 72 deg.

Step-by-step explanation:

The larger angle has measure x.

The smaller angle has measure (2/3)x.

They are supplementary, so the sum of their measures is 180 degrees.

x + (2/3)x = 180

(3/3)x + (2/3)x = 180

(5/3)x = 180

(3/5) * (5/3)x = (3/5) * 180

x = 108

(2/3)x = 2/3 * 108 = 72

Answer: The measures are 108 deg and 72 deg.

At present the sum of Geetha's age and her daughter's age is 44 years. After 2 years, Geetha's age will be three times that of her daughter's age. Find their present ages.

Answers

Answer:

Geetha is 32.5 years old

her daughter is 11.5 years old

Step-by-step explanation:

sum of their ages is 44 years

G + D = 44

in two years, Geetha's age is 3 times her daughters age. (to find present age, subtract 2)

G = 3D - 2

substitute

(3D - 2) + D = 44

combine like terms

4D - 2 = 46

4D = 46

D = 11.5

plug in D to either equation

G + (11.5) = 44

G = 32.5

G = 3(11.5) - 2

G = 32.5

What is the product?

Answers

Answer:

10x²+3xy+6x-y²+3y

Step-by-step explanation:

(2x+y)(5x-y+3)  steps

2x(5x-y+3)=10x²-2xy+6x

y(5x-y+3)= 5xy-y²+3y

add: 10x²-2xy+6x+5xy-y²+3y

10x²+3xy+6x-y²+3y

Two friends went fishing on a lake. One friend’s lure went 23 feet below the lake’s surface, while the other friend’s lure sank to a depth of 81 feet below the surface. What was the difference in the depths of the lures?

Answers

Answer:

58 feet

Step-by-step explanation:

Find the difference by subtracting 23 from 81.

81 - 23

= 58 feet

I got 58 feet. the problem is asking for the difference and 81-23 is 58 ft.

Please help as soon as possible Will mark BRAINLIEST!!!!!

Answers

Answer:

Width = 40ft

Step-by-step explanation:

Area of a rectangle = Length x Width

=> 1600 = 40 x W

=> 1600 = 40W

=> 1600/40 = 40W/40

=> 40 = W

So, the width is 40 ft

Answer:

40 ft  is the correct answer

help me plsssssssssssssssssssssssssssssssssssssss

Answers

Answer:

[tex] \frac{1}{5} ( - m - 4)[/tex]

Step-by-step explanation:

But method 1 best suits the question

Answer:

[tex] - \frac{1}{5} m - \frac{4}{5} [/tex]

Answer:

-1/5m    -4/5

Step-by-step explanation:

2/5 m -4/5 - 3/5 m

Combine like terms

2/5m - 3/5m    -4/5

-1/5m    -4/5

Which expression is equivalent to (StartFraction 125 squared Over 125 Superscript four-thirds Baseline EndFraction? StartFraction 1 Over 25 EndFraction One-tenth 10 25

Answers

Answer:

[tex]\frac{125^2}{125^\frac{4}{3}} = 25[/tex]

Step-by-step explanation:

Given

[tex]\frac{125^2}{125^\frac{4}{3}}[/tex]

Required

Find an equivalent expression

[tex]\frac{125^2}{125^\frac{4}{3}}[/tex]

Apply the following law of indices;

[tex]\frac{a^m}{a^n} a^{m-n}[/tex]

The expression becomes

[tex]125^{2-\frac{4}{3}}[/tex]

Solve the exponents

[tex]125^{\frac{6-4}{3}}[/tex]

[tex]125^{\frac{2}{3}}[/tex]

Express 125 as 5³

[tex]5^{3^*\frac{2}{3}}[/tex]

Solve the exponents

[tex]5^2[/tex]

[tex]25[/tex]

Hence;

[tex]\frac{125^2}{125^\frac{4}{3}} = 25[/tex]

Answer:

d

Step-by-step explanation:

i just took it! edgen

In the figure below, one side of the right triangle is a diameter of the semicircle.
10 units
6 units
8 units
What is the approximate total area of the shaded part of the figure?

Answers

Answer:

Option (A)

Step-by-step explanation:

One side of the given triangle is a diameter of the semicircle given.

Measure of the diameter = 10 units

Total area of the semicircle = [tex]\frac{1}{2}\pi (r^{2})[/tex]

                                              = [tex]\frac{1}{2}\pi (5)^2[/tex]

                                              = 39.27 square units

Area of the right triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                         = [tex]\frac{1}{2}(6)(8)[/tex]

                                         = 24 square units

Area of the shaded region = Area of the semicircle - Area of the right triangle

                                            = 39.27 - 24

                                            = 15.27 square units

                                            ≈ 15 square units

Therefore, option (A) will be the answer.

Determine whether the vectors u and v are parallel, orthogonal, or neither.

u = <10,0>, V = <0,-9>

Answers

Answer:

Orthogonal.

Step-by-step explanation:

Given:

u = <10, 0>

v = <0, -9>

In unit vector notation, the above vectors can be re-written as:

u = 10i + 0j

v = 0i - 9j

Now, note the following:

(i) two vectors, u and v, are parallel to each other if one is a scalar multiple of the other. i.e

u = kv

or

v = ku

for some nonzero value of a scalar k.

(ii) two vectors are orthogonal if their dot product gives zero. i.e

u . v = 0

Let's use the explanations above to determine whether the given vectors are parallel or orthogonal.

(a) If parallel

u = k v

10i + 0j = k (0i - 9j)   ?

When k = 1, the above equation becomes

10i + 0j  ≠  0i - 9j

When k = 2,

10i + 0j ≠ 2(0i - 9j)

10i + 0j ≠ 0i - 18j

Since we cannot find any value of k for which u = kv or v = ku, then the two vectors are not parallel to each other.

(b) If Orthogonal

u.v = (10i + 0j) . (0i - 9j)  

[multiply the i components together, and add the result to the multiplication of the j components]

u.v = (10i * 0i) + (0j * 9j)

u.v = (0) + (0)

u.v = 0

Since the dot product of the two vectors gave zero, then the two vectors are orthogonal.

Christine is typing at a rate of 75 words per
minute. Paula is typing at twice Christine's
speed. If together they need to transcribe a 2000
word paper which of the following expressions
would illustrate the time in minutes, x, it would
take for them to do so.
A) 150
2000X
75
150
B)
+
= 2000
C) 150 + 75 =
2000
2000
D) x =
(150+75)​

Answers

Answer:

X = 2000 / (75 + 150)

Step-by-step explanation:

Given the following :

Christine's typing rate = 75 words per minute

Paula's speed = 2 times Christine's speed

If 2000 words needs to be transcribed. The time taken in minute 'x' will be :

From the relation :

Time = distance / speed

Distance here is the number of words in the document

Christine's speed = 75 words per minute

Paula's speed = 150 words per minute

Combined speed per minute = 150 + 75 = 225 words per minute

Time taken (x) = 2000 / 225

X = 2000 / (75 + 150)

The population of a city is 1,880,000 what is the value of each of the two 8s in this number how are the two values related

Answers

Answer:

The value of the 8 in the front is 800,000 and the value of the second is 80,000. The front value is ten times as big as the second value.

Step-by-step explanation:

We run a linear regression and the slope estimate is 0.5 with estimated standard error of 0.2. What is the largest value of b for which we would NOT reject the null hypothesis that β1=b ? (assume normal approximation to t distribution, and that we are using the 5% significance level for a two-sided test; need two significant digits of accuracy)

Answers

Answer:

0.9

Step-by-step explanation:

Y = B0 + B1X

B1 is the slope an from the question the slope estimate is 0.5

S.E= standard error at 0.2

At 5percent Level of significance, the z value for the test is equal to 1.96

We are required to find out the largest value of b for which the null hypothesis would be accepted.

0.5 + 1.96 x 0.2

= 0.892

Approximately 0.9

Find the percentage of: 21% of 18 use a set of fraction operations method to find the percentage.

Answers

Answer:

4.8%

Step-by-step explanation:

21% of 18

following the BODMAS rule, OF means multiplication

and also this sign% always means 100

so,it will be  21/100 * 18/1

this a laptop so i cant put it in a fraction way.....okay

this is how it shows...21/100 * 18/1

lets divide....

21/100 * 18/1

we will use 2 to divide

2 in 100=50

2 in 18=9

so it will be 21/50 * 9/1

nothing can divide so we will multiply

21*9/50*1

189/50=3.78≈4.8%

Enter the mixed number as an improper fraction. 1 5/6 =

Answers

Answer:

11/6

Step-by-step explanation:

To find the improper fraction

Take the denominator times the whole number

6*1 = 6

Add the numerator

6+5 =11

Put this over the denominator

11/6

Answer:

[tex]\frac{11}{6}[/tex]

Step-by-step explanation:

What is 1 5/6 as an improper fraction?

If you wanna make 1 5/6 as a improper fraction, you must take the 5 from 1 5/6 and add it 6.

[tex]6+5=11[/tex]

[tex]\frac{11}{}[/tex]

Since the denominator is 6, you will put it down.

[tex]\frac{11}{6}[/tex]

So now you got your answer!

Hope this Helps!

HELP ME!!! Why is it possible to isolate the variable, x, in the equation 2x = 20 by using either the division property of equality or the multiplication property of equality?​

Answers

Answer: Because division is the inverse of multiplication.

Step-by-step explanation:

By multiplying the equation 2x=20 by 1/2  you will be able to eliminate the x variable,

For example,

1/2 * 2x = 20*1/2  

 x=  10  

The same way if  you divide both sides of the equation 2x=20 by 2 you will be able to to eliminate the x variable.

For example

2x = 20  Divide both sides by 2

x= 10  

As you can see 2 is the division inverse of 1/2.

is 0.987987 repeating rational or irrational

Answers

Answer:

is repeating rational

Integrated math ll I need help ASAP PLEASE

Answers

Greetings from Brasil...

We have 2 conditions:

1 - angles opposed by the vertex - the angles are equal

2 - supplementary angles - the sum of the two angles results in 180

2:

(4X + 15) and (5X + 30) are supplementary angles, so:

(4X + 15) + (5X + 30) = 180

9X = 180 - 15 - 30

9X = 135

X = 15

1:

(3Y + 15) and (5X + 30) are angles opposed by the vertex, so they are equal

3Y + 15 = 5X + 30

3Y = 5X + 30 - 15

3Y = 5X + 15   above we have already calculated the value of X

3Y = 5.(15) + 15

3Y = 75 + 15

3Y = 90

Y = 90/3

Y = 30

Please someone help me...​

Answers

Step-by-step explanation:

First factor out the negative sign from the expression and reorder the terms

That's

[tex] \frac{1}{ - (( \tan(2A) - \tan(6A) )} - \frac{1}{ \cot(6A) - \cot(2A) } [/tex]

Using trigonometric identities

That's

[tex] \cot(x) = \frac{1}{ \tan(x) } [/tex]

Rewrite the expression

That's

[tex]\frac{1}{ - (( \tan(2A) - \tan(6A) )} - \frac{1}{ \frac{1}{ \tan(6A) } } - \frac{1}{ \frac{1}{ \tan(2A) } } [/tex]

We have

[tex] - \frac{1}{ \tan(2A) - \tan(6A) } - \frac{1}{ \frac{ \tan(2A) - \tan(6A) }{ \tan(6A) \tan(2A) } } [/tex]

Rewrite the second fraction

That's

[tex] - \frac{1}{ \tan(2A) - \tan(6A) } - \frac{ \tan(6A) \tan(2A) }{ \tan(2A) - \tan(6A) } [/tex]

Since they have the same denominator we can write the fraction as

[tex] - \frac{1 + \tan(6A) \tan(2A) }{ \tan(2A) - \tan(6A) } [/tex]

Using the identity

[tex] \frac{x}{y} = \frac{1}{ \frac{y}{x} } [/tex]

Rewrite the expression

We have

[tex] - \frac{1}{ \frac{ \tan(2A) - \tan(6A) }{1 + \tan(6A) \tan(2A) } } [/tex]

Using the trigonometric identity

[tex] \frac{ \tan(x) - \tan(y) }{1 + \tan(x) \tan(y) } = \tan(x - y) [/tex]

Rewrite the expression

That's

[tex] - \frac{1}{ \tan(2A -6A) } [/tex]

Which is

[tex] - \frac{1}{ \tan( - 4A) } [/tex]

Using the trigonometric identity

[tex] \frac{1}{ \tan(x) } = \cot(x) [/tex]

Rewrite the expression

That's

[tex] - \cot( - 4A) [/tex]

Simplify the expression using symmetry of trigonometric functions

That's

[tex] - ( - \cot(4A) )[/tex]

Remove the parenthesis

We have the final answer as

[tex] \cot(4A) [/tex]

As proven

Hope this helps you

Answer:   see proof below

Step-by-step explanation:

Use the following identities:

[tex]\cot\alpha=\dfrac{1}{\tan\alpha}\\\\\\\cot(\alpha-\beta)=\dfrac{1+\tan\alpha\cdot \tan\beta}{\tan\alpha-\tan\beta}[/tex]

Proof  LHS →  RHS

Given:                  [tex]\dfrac{1}{\tan 6A-\tan 2A}-\dfrac{1}{\cot 6A-\cot 2A}[/tex]

Cot Identity:        [tex]\dfrac{1}{\tan 6A-\tan 2A}-\dfrac{1}{\dfrac{1}{\tan 6A}-\dfrac{1}{\tan 2A}}[/tex]

Simplify:              [tex]\dfrac{1}{\tan 6A-\tan 2A}-\dfrac{1}{\dfrac{1}{\tan 6A}\bigg(\dfrac{\tan 2A}{\tan 2A}\bigg)-\dfrac{1}{\tan 2A}\bigg({\dfrac{\tan 6A}{\tan 6A}\bigg)}}[/tex]

                         [tex]= \dfrac{1}{\tan 6A-\tan 2A}-\dfrac{1}{\dfrac{\tan 2A-\tan 6A}{\tan 6A\cdot \tan 2A}}[/tex]

                         [tex]= \dfrac{1}{\tan 6A-\tan 2A}-\dfrac{\tan6A\cdot \tan 2A}{\tan 2A-\tan 6A}[/tex]

                         [tex]= \dfrac{1}{\tan 6A-\tan 2A}-\dfrac{\tan6A\cdot \tan 2A}{\tan 2A-\tan 6A}\bigg(\dfrac{-1}{-1}\bigg)[/tex]

                        [tex]= \dfrac{1}{\tan 6A-\tan 2A}+\dfrac{\tan6A\cdot \tan 2A}{\tan 6A-\tan 2A}[/tex]

                        [tex]= \dfrac{1+\tan6A\cdot \tan 2A}{\tan 6A-\tan 2A}[/tex]

Sum Difference Identity:    cot(6A - 2A)

Simplify:                               cot 4A

cot 4A = cot 4A   [tex]\checkmark[/tex]

Two straight edges of a pizza slice meet at an angle of 30°. If the pizza has a radius of 12
inches, what is the area of the slice and how long is its crust? Show how you got your answer step-by-step.

Answers

Answer:

area of the slice:      A = 12π in² ≈ 37.7 in² lenght of its crust:  L = 24π in ≈ 6.28 in

Step-by-step explanation:

R = 12 in

360°:30° = 12

so the area of the slice is ¹/₁₂ of whole pizza

A = ¹/₁₂•πR² = ¹/₁₂•π•12•12 = 12π in² ≈ 37.7 in²

Crust is the perimeter of pizza so crust of the slice is ¹/₁₂ of the perimeter:

L = ¹/₁₂•2πR = ¹/₁₂•2π•12 = 2π in ≈ 6.28 in

What is the equation of the line that passes through the points (−2, 1) and (1, 10)?

Answers

Answer:

Slope-Intercept form: y=3x+7

Standard form: 3x-y=-7

Point-slope form: y-1=3(x+2)

Step-by-step explanation:

Slope-Intercept form:

First, find the slope, using the formula: [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Our x₁ and y₁ will be the point (-2,1) and our x₂ and y₂ wwill be the point (1,10).

So let's write those in our equation to find slope:

[tex]m=\frac{10-1}{1-(-2)}=\frac{9}{3}=3[/tex]

Therefore, our slope is 3.

Now let's write our linear equation with what we have already in slope-intercept form:

y=3x+b

Well, we still need to find the y-intercept, or "b".

Plug in one of your points for the x and y values of the equation.  We'll use the point (-2,1)

[tex]y=3x+b\\1=3(-2)+b\\1=-6+b\\1+6=-6+6+b\\7=b[/tex]

This means our y-intercept is 7.  Now we can write our equation in slope-intercept form completely:

y=3x+7

Standard form:

Now, let's find this equation is standard form.

Take your equation in slope-intercept form and write it out again:

[tex]y=3x+7[/tex]

Now, standard form of a linear equation is ax+by=c, so subtract 3x from both sides:

[tex]y-3x=3x-3x+7\\-3x+y=7[/tex]

The "a" coefficient in standard form cannot be negative, so divide the entire equation by -1:

[tex]\frac{-3x+y}{-1}=\frac{7}{-1}\\3x-y=-7[/tex]

Therefore, your equation in standad form is:

3x-y=-7

Point-Slope form:

The formula for point-slope form is y-y₁=m(x-x₁).  We already know that our x₁ and y₁ is the point (-2,1) and we know that our slope, m, is 3, so we just have to plug then in where the fit in the equation.

x₁ is -2 and y₁ is 1 and m is 3, so:

y-1=3(x-(-2)) or y-1=3(x+2)

That means our equation in point-slope form is:

y-1=3(x+2)

Evaluate 9/g+2h+5
when g=3 and h=6

Answers

Answer:

20

Step-by-step explanation:

[tex] \frac{9}{g} + 2h + 5 \\ = \frac{9}{3} + 2 \times 6 + 5 \\ = 3 + 12 + 5 \\ = 20[/tex]

help :/ ill give brainly :>

Answers

Answer:

A. Trapezoid

B. Isoclese triangle

c. Equilateral triangle

d. Kite

Answer:

A, Parallelogram (more specifically a trapezoid)

B. Isosceles Triangle

C. Equilateral Triangle

D. Kite

gage bought a new car for $29000 to use while he is away at college. The car decreases in value by 11% annually. What would the cars value after 4 years?

Answers

The value of the gauge car after 4 years will be $18195.25.

What is compound interest?

Compound interest is applicable when there will be a change in principle amount after the given time period.

For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.

Given,

Principle amount (P)  = $29000

Rate of decrement (R) = 11%

Time period(T) = 4 years

Percentage decrement over T time period is given by

Final amount = P[tex][1 - R/100]^{T}[/tex]

Final amount = 29000[tex][1 - 11/100]^{4}[/tex]

Final amount = 29000(0.89)⁴

Final amount = $18195.25.

Hence, The value of the gauge car after 4 years will be $18195.25.

For more information about compound interest,

brainly.com/question/26457073

#SPJ5

The value of the car after 4 years is $18195.24989.

Given,

Gage bought a new car for $29000 to use while he is away at college.

The car decreases in value by 11% annually.

We need to find what would the cars value after 4 years.

we have,

Cost of the car = $29000

The car decreases annually by = 11%

1st-year decrease.

$29000 x 11/100 = $3190

The cost of the car after 1st year = $29000 - $3190 = $25810

2nd-year decrease.

$25810 x 11/100 = $2839.1
The cost of the car after 2nd year = $25810 -  $2839.1 = $22970.9

3rd-year decrease.

$22970.9 x 11/100 = $2526.799

The cost of the car after 3rd year = $22970.9 - $2526.799 = $20444.101

4th-year decrease.

$20444.101 x 11/100 = $2248.85111

The cost of the car after 4th year = $20444.101 - $2248.85111 = $18195.24

Thus the value of the car after 4 years is $18195.24989.

Learn more about the value of a product after an annual decrease here:

https://brainly.com/question/28231393

#SPJ2

Intersecting lines are _____ coplanar. Sometimes Never Always

Answers

Answer:

Always

Step-by-step explanation:

Coplanar lines are lines that intersect making intersecting lines always coplanar.

A square window in Miranda's house has an area of 255 in2 (squared). What is the perimeter of the window?

Answers

Answer:

If you meant the area was 255 in²:

Perimeter is [tex]4\sqrt{255}[/tex], or around 63.89 in.

If you meant that the area was 225 in²:

Perimeter is 60 in

Step-by-step explanation:

If you meant the area was 255 in²:

If we have a square with an area of 255 in², then it's side length will be [tex]\sqrt{255}[/tex] inches long, since the area of a square is [tex]l^2[/tex], where l is the length.

Since [tex]\sqrt{255}[/tex] doesn't return a rational number, we'll leave it as [tex]\sqrt{255}[/tex].

Now that we know the side length, the perimeter of a square is represented as [tex]4l[/tex], where l is the length.

We know the length is [tex]\sqrt{255}[/tex], so we can multiply this by 4.

[tex]4\sqrt{255}[/tex]. This is the simplest it gets.

If you meant the area was 225 in²:

Following the same concept as again:

Length: [tex]\sqrt{225} = 15[/tex]

Perimeter: [tex]4\cdot15=60[/tex] in

Hope this helped!

Answer:

P = 63.87 in

Step-by-step explanation:

area of a square window = 255 in²

find perimeter of the window.

A = s²

255 = s²

s = 15.97 in.

perimeter = 4 * s

P = 4 (15.97)

P = 63.87 in

On her first quiz in social studies,Meg answered 92% of the questions correctly.On her second quiz,she answered 27 out of 30 questions correctly. On which quiz did Meg have the better score?

Answers

Answer:

on her first quiz

Step-by-step explanation:

27/30=

27÷30=

0.9=

09×100/100=

0.9×100%=

(0.9×100)% =

90%

Answer:

first quiz

Step-by-step explanation:

100 divided by 30 times 27<92%

What’s 5x-2=25x+14? (please explain)

Answers

Answer:

x = - [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Given

5x - 2 = 25x + 14 ( subtract 25x from both sides )

- 20x - 2 = 14 ( add 2 to both sides )

- 20x = 16 ( divide both sides by - 20 )

x = [tex]\frac{16}{-20}[/tex] = - [tex]\frac{4}{5}[/tex]

Use the distributive property to evaluate the expression. Which statement is equal to 8(26)? Which expression shows the result after using the distributive property? Evaluate the expression.

Answers

Answer:

8(20 + 6)

8(20) +8(6)

208

Step-by-step explanation:

Got it right EDGE 2021

The value of 8(26) after using the distributive property will be 208.

What is a number system?

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

As per the given, 8(26)

8(26) = 8(20 + 6)

By using the distributive property of multiplication,

8(26) = 8 × 20 + 8 × 6

⇒ 160 + 48

⇒ 208

Hence "The value of 8(26) after using the distributive property will be 208".

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really need help solving this problem

Answers

Answer:

y = 8

Step-by-step explanation:

[tex] \frac{y}{4} = \frac{5 + 5}{5} \\ \\ \frac{y}{4} = \frac{10}{5} \\ \frac{y}{4} = 2 \\ y = 4 \times 2 \\ y = 8[/tex]

At $15 per square foot, the cost of installing flooring in a room with these dimensions a.$121.50 b.$1215.00 c.$1290.00 d.$81

Answers

Answer:

b.  $1215.00

Step-by-step explanation:

The area of the room can be figured any of several ways. One easy way is to figure the area of the enclosing 8 ft by 12 ft rectangle, then subtract area of the 3 ft by 5 ft cutout at upper left.

  A = (8 ft)(12 ft) - (3 ft)(5 ft) = (96 -15) ft^2 = 81 ft^2

At a cost of $15 for each square foot, the installed flooring will cost ...

  ($15 /ft^2)(81 ft^2) = $(15·81) = $1215

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