Mandy bought a rectangular shelf that is 1 2/3 feet long and 5/8 feet wide. What is the area of the shelf? Enter your answer as a mixed number in simplest form by filling in the boxes. $$ ft²

Answers

Answer 1

The area of a rectangular shelf with length of 1 2 / 3 ft and width of 5 / 8 ft is  [tex]1\frac{1}{24}[/tex] ft

How to find area of a rectangle?

A rectangle is a quadrilateral. It has 2 opposite sides equal to each other.

Therefore,

area of rectangle = lw

where

l = lengthw = width

Therefore,

length = 1  2 / 3  = 5 / 3 ft

width = 5 / 8 ft

area = 5 / 3 × 5 / 8

area = 25 / 24 ft

area = [tex]1\frac{1}{24}[/tex] ft

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Related Questions

The morse code is "FOUR BEFORE DECIMAL" I need help with the math problem and how FOUR BEFORE DECIMAL fits into it

Answers

Answer:

the answer is 113.5

Step-by-step explanation:

rate brainliest!

Answer:

114

Step-by-step explanation:

3^5 = 243

4^2 = 16

(243 - 16) / (4 + (-2))

227/2 = 113.5

I think that the morse code phrase refers to rounding the answer

which comes to be...

114

Therefore the 4 is before the decimal

I am not entirely sure, but that is what I think it is

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

A globe has a diameter of 12 inches. It fits inside a cube-shaped box that has a side length of 12 inches.

​What is the volume, rounded to the nearest hundredth of a cubic inch, of the space inside the box that is not taken up by the globe?

Answers

The volume, rounded to the nearest hundredth of a cubic inch, of the space inside the box that is not taken up by the globe is 823.68 inches³

Volume of a sphere

The globe is a sphere. Therefore, the volume is as follows:

volume = 4 / 3 πr³

where

r = 12  /2 = 6 inches

volume = 4 / 3 × π × 6³

volume = 864 / 3 π

volume = 288 × 3.14  = 904.32inches³

Volume of a cube

The box is a cube. Therefore,

volume = L³

where

L = length

Therefore,

volume = 12³

volume = 1728 inches³

Therefore, the volume of the space inside the box that is not taken up by the globe is as follows:

volume not taken up = 1728 - 904.32 = 823.68 inches³

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The owners of cami's carnival kept track of how many visitors they had each day last summer. this box plot shows the results. carnival visitors 50 70 90 110 130 150 what fraction of the days did the carnival have 70 or fewer visitors?

Answers

Answer: 1/3

Step-by-step explanation: 50, and 90, 2/6 reduces to 1/3.................2 pp ignore the 2 and p I'm in mobile

please solve 5/4+( -4 1/3)=?

Answers

Step-by-step explanation:

[tex] \frac{5}{4} + ( - 4 \times \frac{1}{ 3} ) \\ \\ \frac{5}{4} - \frac{4}{3} \\ \\ \\ \frac{15 - 16}{12} \\ \\ \frac{1}{12 } [/tex]

A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 7 feet long, and the height of the equilateral triangle is 6.1 feet. The pyramid's slant height is 9 feet. What is its surface area?

Answers

Answer:

115.85

Step-by-step explanation:

How many solutions are there for the quadratic equation?
Y=x^2+12x+36

Show work

Answers

Answer:

1 solution

x = -6

Explanation:

[tex]\rightarrow \sf y=x^2+12x+36[/tex]

[tex]\rightarrow \sf x^2+12x+36=0[/tex]

[tex]\rightarrow \sf x^2+6x+6x+36=0[/tex]

[tex]\rightarrow \sf x(x+6)+6(x+6)=0[/tex]

[tex]\rightarrow \sf (x+6)(x+6)=0[/tex]

[tex]\rightarrow \sf x=-6[/tex]

Hence there is only one solution for this quadratic equation and the value is -6

[tex]\\ \rm\rightarrowtail x^2+12x+36=0[/tex]

[tex]\\ \rm\rightarrowtail x^2+6x+6x+36=0[/tex]

[tex]\\ \rm\rightarrowtail (x+6)(x+6)=0[/tex]

Only one solution present

x=-6

How many apples could you buy if you went to the store with five dollars? *

Answers

Answer:

depends on how much the apples cost

It really much depends on the type of apple and it’s price

solve pls brainliest

Answers

Answer:

decreased by 7

Step-by-step explanation:

Based off of the table after each day, the money left on the card decreases by 7 after each day

eg. On Monday there is $40 on the card. On Tuesday there is $33 on the card. The money on the card decreases by 7 from Monday to Tuesday. It continues to decrease by this constant amount as the days pass.

Answer:

With each day additional day, the amount left on the card decreased by $7

Step-by-step explanation:

After each day you could see that the amount of money was lower and if you subtracted Monday by Tuesday, Tuesday by Wednesday, Wednesday by Thursday, and Thursday by Friday, you could see that it fell $7 each time.

Here is the picture of the problem- Only 6th grade math

Answers

Answer:

h= 7/6 mm

Step-by-step explanation:

hello :

the area is :  A= (b+B)×h/2

calculate h the height  : 2A = (b+B)×h

so:  h = 2A/(b+B)

you have : A=21/5   and  b= 3    and B= 21/5

h= 2(21/5)/(3+21/5)

h= (42/5) /(36/5)

h= 42/36

h= 7/6 mm

reduce into lowest terms

[tex] \frac{4}{6} [/tex]
[tex] \frac{10}{12} [/tex]
[tex] \frac{18}{24} [/tex]

Answers

Answer:

4/6

We know that, 4 can be written as:

4 = 2 × 2 and 6 = 2 × 3.

In both 2 is common so cancel it out we get, 2/3

Similarly,

10/12

10 = 2 × 5 and 12 = 2 × 2 × 3

2 common and cancel we get, 5/6

18/24

18 = 2 × 3 × 3

24 = 2 × 2 × 2 × 3

6 (2 × 3) is common. So, cancel we get, 3/4

A small theater had 6 rows of 24 chairs each. Workers just removed 7 of these chairs. How many chairs are left? chairs

Answers

6 x 24 = 144
144 - 7 = 137
There is 137 chairs left in the theater. Hope this helps!

Answer:

137 chairs

Step-by-step explanation:

6*24=144.

144-7=137.

please mark as brainliest.

Vat=13% Discount=20% Sp with vat=20340 Mp=? Vat amount=?

Answers

Answer:

Vat amount = Rs 2340

Mp = Rs 22500

Algebra Complete the table.Write the
expression that can be used to find the
missing value in the second row.

Answers

Step-by-step explanation:

In the second column, we can see that every value of n is being added by 6.

Thus, the expression is n + 6.

Now, let's substitute the value of n in each column to verify each column. Then, using the expression, let's find the value of n + 6 where n = 28.

When n is 12:

n + 6 = 1812 + 6 = 1818 = 18

When n is 15:

n + 6 = 2115 + 6 = 2121 = 21

When n is 21:

n + 6 = 2721 + 6 = 2727 = 27

Thus, the expression is proven correct. Now, let's find n + 6 when n is 28.

Finding n + 6 when n is 28:

n + 6 = x28 + 6 = x34 = x

Thus, the missing value in the table is 34.

Math homework, thanks

Answers

Answer:

X=79

Step-by-step explanation:

180-135=45

45+56=101

180-101=79

what numbers are missing from the pattern 1,14,21,28,?,?,?,?,28,21,14,7 ?

Answers

Answer:

ANSWER

1,14,21,28,35,42,42,35,28,21,14,7

A plumber charges $25 to come to a home, and $15 per hour for a repair. Which equation gives the total cost, y, for a repair that lasts x hours?

Answers

Answer:

15x + 25 = y

Step-by-step explanation:

$25 is a fixed cost and will have to be paid if the plumber comes and $15 times the number of hours it takes to do the repair is the variable cost. 'x' in this case is the number of hours. So the equation will be 15x + 25 = y

factorise: x^4– 5x^2 + 4​

Answers

Answer:

(x - 2)(x - 1)(x + 1)(x + 2)

Step-by-step explanation:

[tex] {x}^{4} - 5 {x}^{2} + 4 \\ \\ = {x}^{4} - 4 {x}^{2} - {x}^{2} + 4 \\ \\ = {x}^{2} ( {x}^{2} - 4) - 1( {x}^{2} - 4) \\ \\ = ( {x}^{2} - 4)( {x}^{2} - 1) \\ \\ = (x + 2)(x - 2)(x + 1)(x - 1) \\ \\ = (x - 2)(x - 1)(x + 1)(x + 2)[/tex]

Answer:

[tex](x+1)(x-1)(x+2)(x-2)[/tex]

Step-by-step explanation:

To factorise  [tex]x^4-5x^2+4[/tex] :

Let [tex]x^2=u[/tex]

[tex]\implies x^4-5x^2+4=u^2-5u+4[/tex]

Now factorise  [tex]u^2-5u+4[/tex]

[tex]\textsf{for} \ ax^2+bx+c \ \textsf{find} \ v, w \ \textsf{such that} \ v \cdot w=a \cdot c \ \textsf{and} \ v+w=b[/tex]

[tex]\textsf{and group into} \ (ax^2+vx)+(wx+c)[/tex]

[tex]\implies v=-1, w=-4[/tex]

[tex]\implies u^2-u-4u+4[/tex]

Break into groups

[tex]\implies (u^2-u)+(-4u+4)[/tex]

Factor each parentheses:

[tex]\implies u(u-1)-4(u-1)[/tex]

Factor out common term [tex](u-1)[/tex]:

[tex]\implies (u-1)(u-4)[/tex]

Substitute back [tex]u=x^2[/tex] :

[tex]\implies (x^2-1)(x^2-4)[/tex]

Factor both parentheses using the Difference of Two Squares: [tex]a^2-b^2=(a+b)(a-b)[/tex]

[tex]\implies (x+1)(x-1)(x+2)(x-2)[/tex]

Therefore, the factorisation of [tex]x^4-5x^2+4[/tex] is

[tex](x+1)(x-1)(x+2)(x-2)[/tex]

Lily sells loose tea for $0. 71 per gram. If one gram is equivalent to 0. 035273 ounces, how much does it cost to buy 0. 45 pounds of Lily’s tea? a. $108. 70 b. $144. 93 c. $536. 77 d. $715. 69.

Answers

Unit conversion is a way of converting some common units into another. The cost of buying 0.45 pounds of Lily's tea is $144.93.

What is Units conversion?

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

As it is given that one gram is equivalent to 0.035273 ounces, while 1 pound is equal to 16 ounces. Therefore, if we convert 0.45 pounds to grams,

Pounds to Ounces

[tex]\rm 1\ pound = 16\ ounces\\\\0.45\ pounds = 0.45 \times 16 = 7.2\ ounces[/tex]

Grams to Ounces

[tex]\rm 1\ gram = 0.035273\ ounces\\\\1 ounce=\dfrac{1}{0.035273} = 28.35\ grams\\\\7.2\ ounces = 7.20 \times 28.35 = 204.12\ grams[/tex]

Since it is given that the cost of 1 gram of tea is $0.71, therefore, the cost of 204.12 grams of tea can be written as,

[tex]\rm Total\ cost= 204.12 \times \$0.71 = \$144.93[/tex]

Hence, the cost of buying 0.45 pounds of Lily's tea is $144.93.

Learn more about Units conversion:

https://brainly.com/question/4736731

Write the perimeter of the triangle as a simplified expression.

Answers

[tex]2x - 5 + 5 - x + 3x - 2 \\ 5x - x - 2 \\ 4x - 2[/tex]

Directions: Select all correct answers.

Select all situation representing independent events.

Question 7 options:


Spinning spinner two times.


Rolling a die and then flipping a coin.


Taking one candy out of a bag of candies, eating it, and then taking another candy.


Taking a card from a set of ten cards, replacing it, and then, taking another card.


Taking a sock from a drawer, placing it on your foot, and then picking another sock from the drawer.


Taking a card from a set of ten card, not replacing it, and then taking another card.

Answers

Answer:

Step-by-step explanation:

How many apples could you buy if you went to the store with five dollars?

Answers

Answer:5 apples

Step-by-step explanation:5x1=5

Please help! will give brainlest! locks in 30 min!

Answers

Answer:

LAST CHOICE IS THE ANSWER.

Step-by-step explanation:

#BRAINLIESTBUNCH

Answer:

[tex]-\sqrt{3}[/tex]

Step-by-step explanation:

tan (θ) = [tex]-\frac{\sqrt{3} }{2}[/tex] ÷ [tex]\frac{1}{2}[/tex]

tan (θ) = [tex]-\sqrt{3}[/tex]

hope this helps and is right!! p.s. i really need brainliest :)

Is 3√2 a rational number?

Answers

Answer:

No

Step-by-step explanation:

Because sqrt 2 is not an integer

Answer:

3root2 is not a rational number

please help
what is the equation for the following graph

A=1

Answers

Answer:

[tex]f(x)=\sqrt{x+5}-3[/tex]

Step-by-step explanation:

Given function for graph: [tex]f(x)=\sqrt{x-h}+k[/tex]

Therefore, the parent function is [tex]f(x)=\sqrt{x}[/tex]

[tex]f(x)=\sqrt{x-h}+k[/tex] can be obtained by translating [tex]f(x)=\sqrt{x}[/tex] to [tex]h[/tex] units to the right and [tex]k[/tex] units up

The x and y intercept of [tex]f(x)=\sqrt{x}[/tex] is the origin

Therefore, this graph has been translated 5 units to the left and 3 units down.

Therefore, [tex]h=-5[/tex] and [tex]k=-3[/tex]

Substituting these values into the given function:

[tex]\implies f(x)=\sqrt{x-(-5)}+(-3)[/tex]

[tex]\implies f(x)=\sqrt{x+5}-3[/tex]

Find the smallest number by which 6615 is to be multiplied by to get a perfect square

Answers

Answer:

3x 5

Step-by-step explanation:

10 Cecelia took 40 minutes to complete a journey. She travelled half the distance at a speed of 100 km/h and the other half at 60 km/h. How far was her journey?

Answers

40 min = 40/60 hr = 2/3 hr

Distance = x km

t=distance/speed

x/200+x/120=2/3

multiply by 6oo

3x+5x=400

8x=400

x = 400/8=50km

The journey is for 50km


pls giive brainliest\

pls help ill give a hundred points. select the correct answer from the drop down menu A(1,3),B(5,3),and D(1,-2) are three vertices of rectangle ABCD the coordinates of vertex C are select from the drop down menu (5,2),(-5,1),(5,-2),(2, -5)

Answers

Question ↷

A(1,3),B(5,3),and D(1,-2) are three vertices of rectangle ABCD the coordinates of vertex C are select from the drop down menu (5,2),(-5,1),(5,-2),(2, -5)

Answer↷

(5,-2)

Solution ↷

we know that,

the midpoint of the diagonals of a rectangle bisect each other,

so,

MP of AC = MP of BD

[tex] \huge \rightarrow \frac{x + 1}{2},\frac{y+ 3}{2} = \frac{5 + 1}{2},\frac{3 - 2}{2} \\ [/tex]

[tex] \huge \rightarrow \: x = 5 \: \\ \huge \rightarrow \: y = - 2[/tex]

Answer:

(5,-2)

Step-by-step explanation:

Cause me smart

in right triangle ABC, line CD is perpendicular to line AB, AD=9 cm DB=16 cm. Find CD and the area of triangle ABC

Answers

Answer:

8+8

Step-by-step explanation:

the answer to the whats C and D well c=8 and D=8

I just need help with Part C

Answers

the domain is simply the values that "t" or the independent variable can safely take whilst not producing any extraneous values.

well, the context from the table is that it starts at time of 10 days and goes on to the 40th day, so "t" starts off at 10 and ends at 40, well, that is the domain in context, [10 , 40].

5. The points used to model a parabola are (-3,0), (6,0) and (4,-5). Write an equation for this parabola.
Which form is most helpful and why?

Answers

Vertex form would the most effective which is y=a(x-h)^2+k; (h,k) being the vertex. Which then give you y=a(x-4)+(-5)
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