A countertop for a kitchen is modeled with the dimensions shown below. An 18-inch by 21 inch rectangle will be removed for the sink. What is the area of the top of the installed countertop to the nearest square foot.

Answers

Answer 1

Complete Question

A countertop for a kitchen is modeled with the dimensions shown below. An

18-inch by 21-inch rectangle will be removed for the installation of the sink.

8 ft

2 ft

Sink

18 in

21 in

5 ft

2 ft

What is the area of the top of the installed countertop, to the nearest square foot?

Answer:

19 square foot

Step-by-step explanation:

A countertop for a kitchen is modeled with the dimensions shown below. An 18-inch by 21 inch rectangle will be removed for the sink. What is the area of the top of the installed countertop to the nearest square foot.

Convert from inches to feet

18 inches

1 inch = 0.0833 feet

18 inch = x

Cross Mulitiply

x = 18 × 0.0833 feet

x = 1.5 feet

21 inches

1 inch = 0.0833 feet

21 inch = x

Cross Mulitiply

x = 21 × 0.0833 feet

x = 1.75 feet

Area 1 = 2 ft × 8 ft = 16 ft²

Area 2 = 2 ft × 3 ft = 6 ft²

Area of a sink = Length × Width

= 1.5 ft × 1.75 ft

= 2.625 square feet

Area 1 - Area of sink

= 16 ft² - 2.625 ft²

= 13.375 ft²

Area of the top installed part =

Area 2 + 13.375 ft²

= 6 ft² + 13.375 ft²

= 19.375 ft²

Approximately ≈ 19 ft²


Related Questions

5.
The cube root for three hundred and forty three is
Punca kuasa tiga bagi tiga ratus empat puluh tiga adalah
A. 343
B. 73
C. 3433
D. 7​

Answers

D. 7

Hope this helps! :)

______________

Answer:

The cube root of 343 is 7.

Increase 14187.13 by 14.5

Answers

Answer:

14201.63

Step-by-step explanation:

14187.63

+   14.50

=14201.63

(2x6)3/4 using rational exponents

Answers

Answer:

the answer is 9 divided by 1

Apply the distributive property to factor out the greatest common factor.
6+30=6+30=6, plus, 30, equals

Answers

Answer:

so 6+30=36

we can use the distributive property

36-6=30

36-30=6

Hope This Helps!!!

PLEASE I NEED HELP!!!!

Answers

Q. Determine if the rates are equilvalent. Explain your reasoning. 25 hours in 5 days; 8 hours in 2 days. . .

[tex] \dashrightarrow [/tex] No!, as, we have 25 hours in 5 dyas is the equals to 5. While, 8 hours in 2 days is equals to 4.

Here, is a difference of 1 in 5 and 4.

10. Use the vertical line test to determine if the graph below
represents a function. If it is not a function, tell where the
vertical line test fails.

Answers

The graph is a function. When drawing a vertical line, there will be two circumstances:

The line intersects only one point on a graph. The line intersects more than one point on a graph ( POI > 1 )

For the first circumstance, the graph that has only one intersect with a line - it is a function. For the second circumstance, the graph cannot be a function as it gives more than one y-value for a single x-value.

The conclusion is that if a line only has one intersect on a graph then it is a function. Otherwise, not a function but a relation instead. All functions are relations, but not all relations can be functions.

Answer

The graph passes the vertical line test and is a function.

a girl 65 marks out of 80. What percent mark did she have?​

Answers

Answer:

the marks obtained by a girl in percentage is 81. 25%

Answer:

81.25%

Step-by-step explanation:

100 (65/80)

help me with this please. classify the following triangle
A.right
B.isosceles
C.equilateral
D. abtuse
E.acute
F.scalene​

Answers

Answer:

isosceles triangle

Step-by-step explanation:

Answer:

A, B, and, D

Step-by-step explanation:

I'm not 100% sure but i'm pretty sure these are it.

Hope thus helps!

On the coordinate plane, MNO has vertices M(4,4), N(5,-7) and O(-6,-6). What is the perimeter of MNO? If necessary, round your answer to the nearest tenth

Answers

Answer:

The perimeter is 36.2 units.

Step-by-step explanation:

M (4,4), N (5,-7) and O (-6,-6)

The distance formula is

[tex]d =\sqrt{(x''-x')^2 + (y''-y')^2}\\\\MN =\sqrt{(5 -4)^2 + (- 7 - 4)^2}\\\\MN = 11.05 \\\\MO =\sqrt{(-6 -4)^2 + (- 6 - 4)^2}\\\\MO = 14.14\\\\ON =\sqrt{(-6-5)^2 + (- 6 + 7)^2}\\\\ON = 11.05[/tex]

The perimeter is given by

P = MN + NO + MO

P  = 11.05 + 14.14 + 11.05 = 36.24 units  

Can’t find an answer anywhere pls help <3

Answers

Step-by-step explanation:

Consider the expression below:

[tex] \frac{10 - \sqrt{18} }{ \sqrt{2} } [/tex]

Note that there is a radical in the denominator so we need to eliminate it by multiplying and dividing it with the same radical:

[tex] \frac{10 - \sqrt{18} }{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{10 \sqrt{2} \: - \: 6}{2} = - 3 + 5 \sqrt{2} [/tex]

By inspection, we can see that

a = -3 and b = 5

Answer:

[tex]a = - 3[/tex]

[tex]b = 5[/tex]

Step-by-step explanation:

Objective: Knowldge of Rationalizing Rational Functions.

Complete the LHS to find a and b.

Given

[tex] \frac{10 - \sqrt{18} }{ \sqrt{2} } = a + b \sqrt{2} [/tex]

Rationalize the LHS.

[tex] \frac{10 - \sqrt{18} }{ \sqrt{2} } \times { \frac{ \sqrt{2} }{ \sqrt{2} } } [/tex]

You'll get

[tex] = 5 \sqrt{2} - 3[/tex]

Flip is equation around.

[tex] - 3 + 5 \sqrt{2} [/tex]

This means that a equal -3 and b equal 5.

Need help on this question asap pleasee

Answers

Answer:

I think it is of the last option

Answer:

15×5 =75

Step-by-step explanation:

1 inch reprsnt 5

Which of the following sets of numbers could not represent the three sides of a right triangle?

Answers

Answer:

25, 32, 40 can not form a right angle triangle.

Step-by-step explanation:

By Pythagoras theorem,

⇒ (40)² = (25)² + (32)²

⇒ 1600 = 625 + 1024

⇒ 1600 ≠ 1689

Helppp me please asapppp

Answers

Answer:

y=-2/7x-2

Step-by-step explanation:

Just move the 2x to the other side, then divide both sides by 7.

If f(x) = 4x1/2 , find f(4)

Answers

Answer:

f (4) = 8

Step-by-step explanation:

f (x) =2

2 x 4 = 8

What is the y-intercept of function f?

Answers

Answer:

B

Step-by-step explanation:

When x=1, we will use the second equation

-(1)+1 = 0

Line l has a slope of −3. The line through which of the following pair of points is perpendicular to l?

Answers

Answer:

The slope of the perpendicular line will 1/3.

Step-by-step explanation:

I have 2 possible answer, but I don't know which one. Help please.

Answers

Answer:

X=120

Step-by-step explanation:

It is an equalateral so all the angles in the middle are the same all being 60

The angle of a straight line is 180

So just minus 60 from 180 to get 120

180-60=120

The list shows the number of points Emma scored in eight basketball games.
5, 11, 9, 9, 4, 5, 6, 7
Find the mean.

Answers

Answer:

Mean = 7

Step-by-step explanation:

Given the following data;

Number of games = 8

Scores = 5, 11, 9, 9, 4, 5, 6, 7

We would sum all the scores together to get a total score.

Total scores = 5 + 11 + 9 + 9 + 4 + 5 + 6 + 7 = 56

Now, to find the mean;

[tex] Mean = \frac {total \; scores}{number \; of \; games} [/tex]

Mean = 56/8

Mean = 7

Answer:

7 is the mean score.

Step-by-step explanation:

Now we have to,

→ find the required mean score.

The given scores are,

→ 5, 11, 9, 9, 4, 5, 6, 7

→ Numbers = 8

Then the mean score will be,

→ (5 + 11 + 9 + 9 + 4 + 5 + 6 + 7)/8

→ 56/8 = 7

Hence, the mean score is 7.

find the value of x, y, v and w​

Answers

Now,

x + 35° = 180° ( Co - interior angle )

x = 145°

Then,

y = x = 145° ( Vertically Opposite angle )

Again,

v + 43° = 180° ( Co - interior angle )

v = 137°

Then,

v + w = 180° (Co - interior angle )

137° + w = 180°

w = 180° - 137°

w = 43°

I hope it's help you...

Mark me as brainliest...

4. Find the perimeter of quadrilateral PQRS

Answers

140.1 whatever the unit is

(4/5 - 1/10) + 2/3

PLSS URGENT

Answers

Answer:

41/30

Step-by-step explanation:

4/5 ---> 24/30

1/10 ---> 3/30

2/3 ---> 20/30

(24/30 - 3/30) + 20/30 =

21/30 + 20/30 =

41/30

Marcos decide abrir una cuenta de ahorro para financiar en el futuro los estudios de su hijo recien nacido. Por suerte, el banco le ofrecio la tasa de interes anual de 4,8%. El monto que deposito Marcos en la cuenta fue de $1000 000.Si no retira el dinero ni los intereses, ¿que capital tendra a los 5 años? ¿que capital tendra cuando su hijo cumpla 18 años?

Answers

Answer:

Resultados debajo

Step-by-step explanation:

Dada la siguiente información:

Tasa de interes anual (i)= 4,8%

Inversión inicial (VP)= $1.000.000

Para calcular el valor final (VF), debemos usar la siguiente formula:

VF= VP*(1 + i)^n

Para 5 años:

VF= 1.000.000*(1,048^5)

VF= $1.264.172,72

Para 18 años:

VF= 1.000.000*(1,048^18)

VF= $2.325.429,02

3a + b - 2 = b thank you

Answers

Answer:

Get rid of b:

3a+b-2=b

3a-2=0

3a=2

A=2/3

Question 7 of 10
Classify the following triangle. Check all that apply.
109
15
14
D A. Right
B. Equilateral
O C. Acute
D D. Scalene
O E. Isosceles
M F Obtuse

Answers

Answer:

A & D

Step-by-step explanation:

A. acute because all angles are less than 90 degrees

D. scale because all sides have different

if you look up the definition of the properties you will see they don't apply

Answer:

F.Obtuse angle

because the angles are between 90-180

Keegan deposited $700 into his bank account. After one year, his bank account balance was $761.60. What interest rate did he earn?

Answers

Answer:

8.8%

Step-by-step explanation:

We first divide the new amount by the original and close it with brackets.

Our one year will be shown as 1/1 as an indices

(761.60/700)^1/1

= 1.088

We then convert it to 0.088 and times it by 100.

0.088×100= 8.8% Compound interest rate.

This is correct as:

700×1.088= 761.6

Have a nice day! :)

Which equation is a function of x?

Answers

Answer:

X=5

x=y2+9

x2=y

x2=y2+16

Step-by-step explanation:

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

Sienna is determining the solution 6b + 12 = 102 A:15 B:17 C:90 D:102​

Answers

A.15
102-12=90
90/6=15

Find an equation of the line passing through the
point (6,5) and perpendicular to the line whose
equation is 2y + 3x = 6.

Answers

Answer:

In slope-intercept form:

[tex]\displaystyle y=\frac{2}{3}x+1[/tex]

Or, in standard form:

[tex]2x-3y=-3[/tex]

Step-by-step explanation:

We want to find the equation of the line that passes through the point (6, 5) and is perpendicular to the line whose equation is:

[tex]2y+3x=6[/tex]

Since the new line is perpendicular, its slope and the slope of the first equation will be negative reciprocals of each other.

So, find the slope of the first equation. Subtract 3x from both sides:

[tex]2y=-3x+6[/tex]

And divide both sides by two:

[tex]\displaystyle y=-\frac{3}{2}x+3[/tex]

So, the slope of the first equation is -3/2.

The slope of the new line is its negative reciprocal. So, the slope of the perpendicular line is 2/3.

Next, we also know that it passes through the piont (6, 5). We can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

Substitute:

[tex]\displaystyle y-(5)=\frac{2}{3}\left(x-6\right)[/tex]

And we have our equation!

If desired, we can simplify it into slope-intercept form:

[tex]\displaystyle \begin{aligned} y-5&=\frac{2}{3}x-4\\\\y&=\frac{2}{3}x+1\end{aligned}[/tex]

Or, into standard form:

[tex]\displaystyle \begin{aligned} y&=\frac{2}{3}x+1\\\\3y&=2x+3\\\\ 2x-3y&=-3\end{aligned}[/tex]

Maria has made $28 selling bracelets at a craft fair. She spends $52 on supplies to make the bracelets. She sells each bracelet for $3. Which inequality can Maria use to find how many more bracelets she needs to sell to make more money than she spent on supplies. A. 3x + 52 < 28 B. 28x +3 >52 C. 3x + 28 < 52 D. 3x +28 > 52

Answers

Answer: D. 3x +28 > 52

Step-by-step explanation:

Based on the information given, the inequality that Maria can use to find how many more bracelets she needs to sell to make more money than she spent on supplies will be calculated thus:

With the question above, the total sales must be greater than the amount spent on supplies. Let the number of bracelets that needs to be sold be represented by x.

Therefore, (3 × x) + 28 > 52

= 3x + 28 > 52.

We can calculate further

3x > 52 - 28

3x > 24

x > 24/3

x > 8

Therefore, 9 or more bracelets needs to be sold since x is greater than 8.

Therefore, the correct option is D 3x +28 > 52

Answer:

D. 3x + 28 > 52

Step-by-step explanation:

9 2/5-3 4/10
yo anyone have the answer

Answers

Answer:

6

Step-by-step explanation:

9 and 2/5 is the equivilent to 9 and 4/10

9 4/10 - 3 4/10 = 6 0/10

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