a blueprint of a house has a scale of 2.5 in:5 feet. would a pool table that is 8 by 6 feet fit in a space that has drawing dimensions of 4 inches and 5.2 inches? if so, how much space will remain after the table is put in the room?

Answers

Answer 1

Answer:

yes it will fit;  there would be 35.2 sf remaining

Step-by-step explanation:

Find the dimensions of the table in inches:

2.5/5 = x/6

x = 3 in

2.5/5 = x/8

x = 4 in

Scaled table area = (3 in)(4 in) = 12 in²

Scaled room area = (4 in)(5.2 in) = 20.8 in²

12 < 20.8, Therefore, the table would fit.

How much room is left over:

Find the room dimensions in feet.

2.5/5 = 4/x

x = 8 ft

2.5/5 = 5.2/x

x = 10.4 ft

Room area = (8)(10.4) = 83.2 sf

Table area = (8)(6) = 48 sf

83.2 - 48 = 35.2 sf space would remain


Related Questions

You are thinking of combining Designer Whey and Muscle Milk to obtain a 7-day supply that provides exactly 412 grams of protein and 108 grams of carbohydrates. How many servings of each supplement should you combine in order to meet your requirements?

Answers

Answer: Let x be the number of servings of Designer Whey and y be the number of servings of Muscle Milk.

We know that:

x + y = 7 (because you want 7 days of supply)

And the protein content per serving of Designer Whey is 18g and the protein content per serving of Muscle Milk is 20g. So:

18x + 20y = 412 (because you want 412g of protein)

And the carbohydrate content per serving of Designer Whey is 4g and the carbohydrate content per serving of Muscle Milk is 8g. So:

4x + 8y = 108 (because you want 108g of carbohydrates)

We can now use the above two equations to solve for x and y. We'll start by solving for x in terms of y:

18x + 20y = 412

18x = 412 - 20y

x = (412 - 20y)/18

Now we can substitute this expression for x into the equation for the carbohydrates:

4x + 8y = 108

4((412 - 20y)/18) + 8y = 108

1664 - 80y + 8y = 1080

1664 = 1080 + 80y

584 = 80y

y = 7.3

Since y must be an integer, we'll round it down to 7. So y = 7. We can now use either equation to find x:

18x + 20y = 412

18x + 20 * 7 = 412

18x = 412 - 140

18x = 272

x = 15.1

Since x must be an integer, we'll round it up to 15. So x = 15.

Therefore, you should combine 15 servings of Designer Whey and 7 servings of Muscle Milk in order to meet your requirements.

Step-by-step explanation:

what is the solution?
x=3 and y=4
x=5 and y=4
x=4 and y=3
x=3 and y=2

Answers

Answer:

give me more instructions so i can actually help

Step-by-step explanation:

License plates in a particular state display 4 letters followed by 2 numbers.
How many different license plates can be
manufactured for this state?
(Simplify your answer. Type an integer or a fraction.)

Answers

There are 45697600 number of different license plates can be manufactured for this state.

What is Combination?

The combination is a mathematical technique that is the number of ways to arrange the n number of collections where the order of selection does not matter.

ⁿCₐ= n!/(n-a)!a!

Here given in the question is,

On the license plate, there are 4 letters and 2 numbers.

Since, There are 26 alphabets in English from A to Z for which at position 1, there are 26 possibilities of alphabets at every position by,

²⁶C₁ = 26!/(26-1)!1!

       = 26!/25!1!

       = 26!/25!

        = 26

So, for 4 different positions of letters,

Then, The number of ways is,

⇒ 26×26×26×26 = 26⁴= 456976

And, There are 10 numbers in math for which at position 1, there are 10 possibilities of numbers at every position by,

¹⁰C₁ = 10!/(10-1)!1!

       = 10!/9!1!

       = 10!/9!

        = 10

So, for 2 different positions of numbers, the number of ways is,

= 10×10 = 10²= 100

Thus, The total number of ways the license can be manufactured = 456976 × 100= 45697600

Therefore, 45697600 different license plates can be manufactured for this state.

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Let M be the event that a randomly selected IRSC student is male and P(M) = 0.45.
Round solutions to three decimal places, if necessary.
What is the probability that a randomly selected IRSC student is female?

Answers

Answer:

As P(M) = 0.45

P(F) = 1-0.45 = 0.55

P(Both students are male) = 0.45 x 0.45 = 0.2025 = 0.203 (cor to 3 dp)

P(Both students are female) = (1-0.45) x (1-0.45) = 0.55 x 0.55 = 0.3025 = 0.303 (cor to 3 dp)

P(First student male and second female) = 0.45 x 0.55 = 0.2475 = 0.248 (cor to 3 dp)

hope this helps!!!

Find the difference in value between five in 14532 and five in 12754.​

Answers

Answer is 450 difference in face value

Difference in place value is times 10

Step by step

Five in 14532 is in the hundreds place, or 500
Five in 12754 is in the tens place, or 50

The difference of face value is found by subtracting

500 - 50 = 450 difference in face value

The difference in place value is multiples of 10, as that is the difference between tens place and hundreds place

) The ratio of boys to girls on a softball team was 5:3. For every 35 girls how many ratio of boys will be there?

Answers

What is a ratio?

A ratio has two or more numbers that symbolize relation to each other. Ratios are used to compare numbers, and you can compare them using division.

If the ratio is 5: 3, (girls: boys) we can use this equation to figure out how many boys there are if there are 35 girls:

35 × 0.6 = 21

Why do we multiply by 0.6?

We can see that in the ratio 5: 3, 5 is being multiplied by 0.6 to get three. If the relationship between the numbers 5 and 35 stays proportional, we multiply 35 by 0.6.

Therefore, the ratio of girls to boys is 35: 21, meaning there are 21 boys.

A serving is 1/2 of a cookie how many servings can be made from 3/8 cookies PLEASE

Answers

Answer:

3/4 servings

Step-by-step explanation:

Each serving = 1/2

There are 3/8 cookies.

How many times 1/2 "fits" into 3/8 = how many servings.

3/8 / 1/2

= 3/8 * 2

= 3/4 servings

Answer would be zero (0) servings

Step by step

3/8 cookie is smaller or less than 1/2 cookie

To prove this, we need to change 1/2 cookie to same denominator of the 3/8 cookie

1/2 = multiply top and bottom by 4

1/2 = 4/8

4/8 is a serving, you only have 3/8 of a cookie which is smaller so you have 0 servings

You purchase 170 shares for $70 a share ($11,900), and after a year the price rises to $80. Calculate the percentage return on your investment if you bought the stock on margin and the margin requirement was (ignore commissions, dividends, and interest expense):

15 percent. Round your answer to one decimal place.

45 percent. Round your answer to one decimal place.

80 percent. Round your answer to one decimal place.

Answers

Answer:

see below

Step-by-step explanation:

170*70=11900

after one year 170*80 = 13600
gain on paper = 13600-11900 = 1700

80/70 = 1.14 so 14% if you had paid out of pocket

but then you bought on margin meaning you only used

15% of your money = 11900* 15% = 1785

but your gain was 1700, so your return = 1700/1785 = 95%

45% of your money = 11900* 45% = 5355

but your gain was 1700, so your return = 1700/5355 = 32%

85% of your money = 11900* 85% = 10115

but your gain was 1700, so your return = 1700/10115 = 17%

PLEASE HELP ME!

Anna is considering writing and publishing her own book She estimates her revenue equation as R = 6.56x and her cost equation as C = 10.063 + 1.09x where x is the number of books she sells. Find the minimum number of books she must sell to make a profit

Anna must sell atleast ? books to make a profit.

Answers

Step-by-step explanation:

In order to make a profit R > C

So let's make those equal first

R = C

[tex]6.56x = 10.063 + 1.09x[/tex]

Let's get X alone by subtracting 1.09x from both sides.

[tex]5.47x = 10.063[/tex]

Next we divide by 5.47

[tex]x = 1.83[/tex]

Rounding up to 2, looks like Anna needs to only sell 2 books to start making a profit

Zachary purchased a computer for $1,400 on a payment plan. Four months after he purchased the computer, his balance was $780. Eight months after he purchased the computer, his balance was $160. What is an equation that models the balance y after × months?
The equation ________ models the balance y after x months.
(Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation. Do not include the $ symbol in your answer.)

Answers

Answer:

y = -140x + 1400

Step-by-step explanation:

First, we'll find the slope, m, using the formula:

m = (160 - 780) / (8 - 4) = -620 / 4 = -155

Next, we'll use one of the points and the slope to find the y-intercept, b:

b = y - mx

We'll use the point (4, 780) to find b:

b = 780 - (4 * -155) = 1400

So the equation that models the balance, y, after x months is:

y = -155x + 1400

And since -155 can be simplified to -140, the equation becomes:

y = -140x + 1400

Arianna models a can of ground coffee as a right cylinder. She measures its
circumference as 4 1/4 in and its volume as 9 cubic inches. Find the height of the can in
inches. Round your answer to the nearest tenth if necessary.

Answers

The height of the right cylinder is 0.011 inches approximately.

Volume Definition:

Every three-dimensional object occupies some space. It is being determined how big this area is. Volume is the term used to describe the area contained within an object's three-dimensional boundaries. It is referred to as the object's capability on sometimes.

‘Volume’ is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface.

Now in the given question,

Circumference,

[tex]2\pi r[/tex] = [tex]\frac{41}{4}[/tex]

[tex]r=\frac{41}{8\pi }[/tex]

V = 9 cubic inches

volume of cylinder = πr²h = 3.14×[tex]\frac{41}{8\pi }^2[/tex]×h

h = (9)÷(3.14×[tex]\frac{41}{8\pi }^2[/tex]) = 0.011 inches

therefore the height of the cylinder is 0.011 inches approximately.

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pleaseee i really need help with this

here is the picture

Answers

I think these are the answers, I didn’t write out the full questions just the first part

Consider this right triangle.

Enter the measure of ZM to the nearest degree.

Answers

Answer:

21°

Step-by-step explanation:

For this right-angled triangle:

∠M = angle in question

Side LM = Hypotenuse

With respect to ∠M:

Side LN = Opposite side

Side MN = Adjacent side

Trigonometric function applied:

sin∠M = [tex]\frac{opposite}{hypotenuse}[/tex]

           = [tex]\frac{8}{22}[/tex]

 ∠M = [tex]sin^{-1} (\frac{8}{22})[/tex]

          = 21.32°

  ∠M  = 21° (Rounded to the nearest degree)

Answer:

∠M = 21°

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{9.4 cm}\underline{Trigonometric ratios} \\\\$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}[/tex]

From inspection of the given right triangle:

The angle to be found is M ⇒ θ = MThe side opposite ∠M is LN ⇒ O = 8The hypotenuse is LM ⇒ H = 22

Therefore, substitute the given values into the sine ratio and solve for ∠M:

[tex]\implies \sin(M)=\dfrac{8}{22}[/tex]

[tex]\implies M=\arcsin \left(\dfrac{8}{22}\right)[/tex]

[tex]\implies M=21.323686...^{\circ}[/tex]

[tex]\implies M=21^{\circ}\sf\;(nearest\;degree)[/tex]

Therefore, the measure of ∠M to the nearest degree is 21°.

16=k/11
if you can please use this technic
I know its not many points but I need this,

thank you

Answers

Answer:

k = 176

Step-by-step explanation:

16 = k/11

16 * 11 = k/11 * 11

176 = k

Because k is being divided by 11 on the right-hand side of the equation, we would need to multiply both sides by 11 to undo the division operation done to k so we can isolate it.

Cand I get the answer to “Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
6-3/4x + 1/3 = 1/2x +5”

Answers

Answer:

12

Step-by-step explanation:

6 - 3/4x + 1/3 = 1/2x + 5

6 - 9/12x + 4/12 = 6/12x + 5  If I multiply all the way through by 12 I will eliminate the fraction

72 - 9x + 4 = 6x+ 60

The final price of the textbook for an English literature course is 7% more than the listed price when tax and shipping costs are included. If the listed price is $100, what is the final price of the textbook?

(Round to the nearest dollar.)

Answers

The answer to this question is 102.12

A bag contains two red marbles, four green ones, one lavender one, two yellows, and two orange marbles. HINT [See Example 7.] How many sets of five marbles include either the lavender one or exactly one yellow one but not both colors?

Answers

There are 2518 sets of five marbles that include either the lavender one or exactly one yellow one, but not both.

To solve this problem, we need to find the number of sets of five marbles that include either the lavender one or exactly one yellow one, but not both colors. Here's one way to approach the problem:

Number of sets of five marbles that include the lavender one: There is only one lavender marble, so we can choose any 4 other marbles to go with it.

There are a total of 7 marbles to choose from, so there are 7 possible choices for the first marble, 6 for the second, 5 for the third, and 4 for the fourth.

This gives us a total of 7 x 6 x 5 x 4 = 840 possible sets of five marbles that include the lavender one.

Number of sets of five marbles that include exactly one yellow one: There are two yellow marbles,

So there are 2 possible choices for the yellow marble. For each choice, we can choose any 4 other marbles to go with it.

As before, there are 7 marbles to choose from, so there are 7 possible choices for the first marble, 6 for the second, 5 for the third, and 4 for the fourth.

This gives us a total of 2 x (7 x 6 x 5 x 4) = 1680 possible sets of five marbles that include exactly one yellow one.

Number of sets of five marbles that include both the lavender one and exactly one yellow one:

We need to subtract these sets from the total number of sets that include either the lavender one or exactly one yellow one.

We have already found that there are 840 sets of five marbles that include the lavender one, and 1680 that include exactly one yellow one.

To find the number of sets that include both, we can choose any one yellow marble and the lavender one.

There are 2 choices for the yellow marble and 1 choice for the lavender one,

So there are 2 x 1 = 2 possible sets of five marbles that include both the lavender one and exactly one yellow one.

Number of sets of five marbles that include either the lavender one or exactly one yellow one, but not both:

Finally, we need to subtract the number of sets that include both the lavender one and exactly one yellow one from the total number of sets that include either the lavender one or exactly one yellow one.

The total number of sets that include either the lavender one or exactly one yellow one is 840 + 1680 = 2520. The number of sets that include both is 2,

So the number of sets that include either the lavender one or exactly one yellow one, but not both, is 2520 - 2 = 2518.

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The cost of food sold in a bistro is $67,000 for the quarter. If food sales during that quarter are $187,000, what is the bistro’s food cost percent?

Answers

Bistro’s food cost percent is 35.83%

What is Food cost percent?

Food cost percentage is calculated by taking the cost of goods sold and dividing that by the revenue or sales generated from that finished dish.

Food cost percent is calculated using the following formula:

Total Food Cost Percentage = (Total Cost of Goods Sold / Total Revenue) x 100

From the parameters in the question,

Total Food Cost Percentage = 67,000/187,000 x 100

Total Food Cost Percentage = 6,700,000/187000

Total Food Cost Percentage = 35.73%

Hence, the Bistro’s food cost percent is 35.83%

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The Colorado Division of Wildlife netted and released 774 fish at Quincy Reservoir. There were 219 perch, 315 blue gill, 83 pike, and 157 rainbow trout. This is an observational study because a treatment was deliberately imposed on the individuals in order to observe a possible change in the response or variable being measured This is an observational study because observations and measurements of individuals are conducted in a way that doesn't change the response or the variable being measured This is an experiment because observations and measurements of individuals are conducted in a way that doesn't change the response or the variable being measured. This is an experiment because a treatment was deliberately imposed on the individuals in order to observe a possible change in the response or variable being measured.

Answers

Given the set of data used, This is an observational study because observations and measurements of individuals are conducted in a way that doesn't change the response or the variable being measured.

What is an Observational Study?

An observational study draws conclusions from a sample of a population in disciplines like epidemiology, social sciences, psychology, and statistics when the independent variable is not under the researcher's control due to ethical considerations or practical limitations.

With this in mind, the set of data presented is conducted in a way that doesn't change the response or the variable being measured.

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"Look at the Example. Suppose the club increases the selling price of a frame to
$13. Write an expression with exactly two terms for the amount of money the club
will make for selling fframes. Show your work

Answers

The expression with exactly two terms for the amount of money the club

will make for selling 'f' frames is 7f- 36.

What is Expression?

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression.

Given:

Price of frame= $13

Material cost = $6

Renting both cost = $36

For selling 'f' frames the amount of money the club make

= (13f - 6f) - 36

= (13-6)f- 36

= 7f- 36

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into 12 squares. Place on a greased tray and bake at paration time: 30 minutes Determine: Cooking time: 15 minutes a) the total time (in hours) to prepare and cook the scones. b) the number of me all-purpose flour needed to bake 36 scones. c) The thickness of the dough in centimetres. Mrs Msimango baked 48 scones, determine the following ingredient required: number of teaspoons of salt. ml of butter. If Mrs Msimango started making the scones at 14:55, at what time will it be ready for eating? a) b) Express the baking temperature of 356 °F in °C Use the formula: °C (°F-32°) ÷ 1,8 ΤΟΥ​

Answers

a) The total time taken in hours is 0.75 hours

b) The amount of all-purpose flour needed is not given in the question.

c) The thickness of the dough in centimetres is not given.

d) The amount of salt needed per scone is not given.

e) The amount of butter needed per scone is not given.

f) It will be ready for consumption by 15:30

g) 356°F in °C can be calculated using the formula:

°C = (356°F - 32°) / 1.8 = 180°C.

Step by step explanation

a) Total preparation and cooking time = 30 minutes + 15 minutes = 45 minutes = 0.75 hours

b) To bake 36 scones, we need:

36 scones * all-purpose flour needed to bake 1 scone = all-purpose flour needed to bake 36 scones

The amount of all-purpose flour needed is not given.

c) The thickness of the dough in centimetres is not given.

d) Mrs. Msimango baked 48 scones, so the number of teaspoons of salt required would be:

48 scones * teaspoons of salt needed per scone = teaspoons of salt needed for 48 scones

The amount of salt needed per scone is not given.

e) Mrs. Msimango baked 48 scones, so the number of millilitres of butter required would be:

48 scones * ml of butter needed per scone = ml of butter needed for 48 scones

The amount of butter needed per scone is not given.

f) If Mrs. Msimango started making the scones at 14:55, they would be ready to eat at 14:55 + 0.75 hours = 15:30.

g) 356°F in °C can be calculated using the formula:

°C = (356°F - 32°) / 1.8 = 180°C

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If it were two hours later, it would be half as long until midnight as it would be if it were an hour later. What time is it now?

Answers

Answer:

where represents the time two hours later than the current time. represents the time one hour later than current time. Henceforth, the time at present is 9 pm.

Step-by-step explanation:

Which function describes this graph?
-61
-5
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
O A. y = (x+5)(x-3)
OB. y-(x-2)(x - 5)
OC. y = x² +5x+12
OD. y=x+7x+10
5

Answers

Answer:

  D. y = x² +7x +10

Step-by-step explanation:

You want the function that describes a graph showing a quadratic with roots of -5 and -2.

Equation

The factored form of the equation can be written from the x-intercepts (roots) by considering that a root of p means (x -p) is a factor. The factored equation is ...

  y = (x -(-5))(x -(-2)) = (x +5)(x +2) . . . . . doesn't match A or B

When this is multiplied out, it becomes ...

  y = x² +5x +2x +10 = x² +7x +10 . . . . . . matches choice D

The equation is y = x² +7x +10.

What is an inequality in math?

Answers

Answer:

An inequality in mathematics is a statement that compares two values, with the use of inequality symbols like < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), and ≠ (not equal to). For example, the inequality "5 > 2" states that 5 is greater than 2. Inequalities can be used to represent real-world situations, such as expressing constraints or limitations.

Step-by-step explanation:

In mathematics, a relationship between two expressions or values that are not equal to each other is called 'inequality. ' So, a lack of balance results in inequality.

2. d(1, 5), o(4, 6), g(3, 3) are midpoints of the sides of triangle cat. find the coordinates of points c, a and t

Answers

The coordinates can be determined by using mid point formula. Here the coordinates vertex C is (2,8), vertex A is (0,2) and vertex T is (6,4)

Here the midpoints are (1,5) , (4,6), (3,3).

By using mid point equation, x₁+x₂/2 = 1

So x₁+x₂ = 2  --------------------> eq 1

x₂+x₃/2 = 3

x₂+x₃ = 6   -----------------------> eq 2

x₁+x₃/2 = 4

x₁+x₃ = 8 -----------------------> eq 3

Adding equations 1,2,3

2( x₁+x₂+x₃) = 16

 x₁+x₂+x₃ = 8 ---------------> 4

Determining x-coordinates

Subtracting equation 1 from 4

x₁+x₂+x₃ -(x₁+x₂) = 8-2

 x₃ = 6

Similarly subtracting equation 2 from 4

x₁+x₂+x₃ -(x₂-x₃) = 8-6

x₁ = 2

Subtracting 3 from 4

x₁+x₂+x₃ -(x₁+x₃) = 8-8

x₂ = 0

Determining y coordinates

y₁+y₂/2 = 5

y₁+y₂ = 10 ----------------> 5

y₁+y₃/2 = 6

y₁+y₃ = 12 ----------------> 6

y₂+y₃/2 = 3

y₂+y₃ =6   -------------->  7

Adding equations 5,6 and 7

2(y₁+y₂+y₃) = 28

y₁+y₂+y₃ = 14 -----------------> 8

Subtracting equations 5,6 and 7 from 8

y₁+y₂+y₃ -(y₁+y₂) =14 - 10

y₃ = 4

y₁+y₂+y₃ -( y₂+y₃) = 14- 6

y₁ = 8

y₁+y₂+y₃-(y₁+y₃) = 14- 12 = 2

So the coordinates are (x₁ , y₁) =(2,8)

                                       (x₂, y₂) = (0, 2)

                                       (x₃, y₃) = (6,4)

So the coordinates of C,A and T are (2,8) , (0,2) and (6,4) respectively.

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How many meters are in 30 yards? Conversion factor 1m =1.09 yards round to the nearest tenth

Answers

Answer:

27.52

Step-by-step explanation:

1m =1.09 yards

30/1.09 = 27.52

Solve for x. 6/-4.5=8/4x

Answers

Answer: x = -3/2 , x = -1 1/2 , x = -1.5

Step-by-step explanation:

6/-4.5 = 8/4x

first determine the defined range --> x ≠ 0

cancel out the common factor 4 --> 6/-4.5 = 2/x

the convert the decimal into a fraction --> 6/-9/2 = 2/x

now use -a/b = a/-b = -a/b to rewrite the fraction --> 6/-9/2 = 2/x

then simplify the complex fraction --> -4/3 = 2/x

simplify the equation using cross-multiplication --> -4x=6

divide both side of the equation by -4 --> x = -3/2 , x ≠ 0

lastly, check if the solution is in the defined range --> x = -3/2

solution : x = -3/2

Alternative form: x = -1 1/2 , x = -1.5 (simplified)

Which multiplication equation best represents the figure?

Answers

The multiplication equation best represents the figure will be 6 x 0.32 = 1.92. Then the correct option is B.

What is Algebra?

Algebra is the examination of ideational signs while reasoning the manipulation of all those thoughts.

The big square block represents the 1 unit. And each small block represents 0.01 units.

The number of small blocks which are marked by the color in one shot is 32 which means 0.32 units.

And these processes are done six times, then the expression that represents the condition is given as,

6 x 0.32 = 1.92

The multiplication equation best represents the figure will be 6 x 0.32 = 1.92. Then the correct option is B.

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Find the area of the irregular figure. Use 3.14 for π. Show your work. Round to the nearest tenth.

Answers

Answer:

The area of the irregular figure is 8.1 ft² (rounded to the nearest tenth).

Step-by-step explanation:

The irregular figure is made up of:

A triangle with height 3.6 ft and base 2.8 ft.A semicircle with diameter 2.8 ft.

Area of the triangle

[tex]\boxed{\begin{aligned}\sf Area\;of\;triangle&=\sf \dfrac{1}{2} \times base \times height\\\\&=\sf \dfrac{1}{2} \times 2.8 \times 3.6\\\\&=\sf 1.4 \times 3.6\\\\&=\sf 5.04 \; ft^2\end{aligned}}[/tex]

Area of the semicircle

[tex]\boxed{\begin{aligned}\sf Area \; of\;semicircle&= \sf \dfrac{1}{2} \pi r^2\\\\&= \sf \dfrac{1}{2}\times 3.14 \times (1.4)^2\\\\&= \sf \dfrac{1}{2}\times 3.14 \times1.96\\\\&= \sf 1.57 \times1.96\\\\&= \sf 3.0772\; ft^2\end{aligned}}[/tex]

Area of the irregular figure

[tex]\boxed{\begin{aligned}\sf Area \;of\;irregular\;figure&=\sf Area\;of\;triangle+ Area\;of\;semicircle\\\\&=\sf 5.04+3.0772\\\\&=\sf 8.1172\\\\&=\sf 8.1\; ft^2\;(nearest\;tenth)\end{aligned}}[/tex]

Therefore, the area of the irregular figure is 8.1 ft² rounded to the nearest tenth.

If there are 30 king sized candy bars in a box and the box sells for $70.50 , how much does each candy bar in the box cost? Please help this paper is due tmr and I get my progress report tmr!!!

Answers

The cost of one candy bar is $2.35.

What is a unit price?

The meaning of unit price is a price quoted in terms of so much per agreed or standard unit of product or service.

Given that, there are 30 king-sized candy bars in a box and the box sells for $70.50, we need to find that how much does each candy bar in the box cost,

Since, the cost of all 30 candies is given collectively, i.e. $70.50,

We will divide the cost of the whole box by the number of candies to find the unit price of the candies,

Unit price = $70.50 / 30

= $2.35

Hence, the cost of one candy bar is $2.35.

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