Three hens can lay 3 eggs in 3 days.In how many days can 7 hens lay 7 eggs?

Answer,

X = 3/4

Explanation,

Step 1: Simplify both sides of the equation.

3.25 + 0.5x + (1)(1)/3 + 5/6x = (5)(11)/12

3.25 + 0.5x + 1/3 + 5/6x = 55/12

(0.5x + 5/6x) + (3.25 + 1/3) = 55/12 (Combine Like Terms)

4/3x + 3.583333 = 55/12

4/3x + 3.583333 = 55/12

Step 2: Subtract 3.583333 from both sides.

4/3x + 3.583333 − 3.583333 = 55/12 − 3.583333

4/3x = 1

Step 3: Multiply both sides by 3/4.

(3/4) * (4/3x) = (3/4) * (1)

x = 3/4

Answer: A.

The reason is because if you're adding a negative to a number, it's subtraction, which is in the expression.

Answer:

The answer is A.

Step-by-step explanation:

Adding a negative is the same as subtracting

Answer:

A. -50 feet

Step-by-step explanation:

To find the number closest to sea level, take the absolute value of each number and see which is closest to zero.

A. -50 feet   abs (-50) = 50

B. -68 feet  abs (-68) = 68

C. -77 feet   abs (-77) = 77

D. -86 feet  abs ( -86) = 86

E. -97 feet  abs (-97) = 97

The smallest number is 50.  -50 ft is closest to sea level

Answer:

Step-by-step explanation:

A. 50

Final answer:

The value of the expression is -12, obtained by first converting mixed numbers to improper fractions, dividing and then multiplying the resulting fractions, and finally simplifying them.

Explanation:

The value of the expression (-8/9) divided by (-2/3) multiplied by (-4 1/2) is computed as follows:

Answer:

The right option is B) 12.60

Step-by-step explanation:

We have given,

Number of shares = 30

Cost of each share = $34

Total cost of shares = 30 × 34 = $1020

Since the company paid annual dividends of $0.42 per share.

i.e Total annual dividend company paid = 0.42 × 30

Total annual dividend company paid = $ 12.60

Hence the right option is B) 12.60

Answer:

Let x be the number.

It is given that a 15 : 9 aspect ratio and a screen that is 42 inches.

Aspect ratio states that  the ratio of the display image’s width to its height.

Then;

Width of the television of(w) = 15x

and

height of the television(h) = 9x.

Since, television is in the form of Rectangle.

and it is also, given that the screen is 42 inches .

⇒Diagonal of the television(D) = 42 inches

Using formula of diagonal of the rectangle :

[tex]D^2 =w^2+h^2[/tex]

Substitute the given values to solve for x;

[tex]42^2 = (15x)^2+(9x)^2[/tex]

[tex]1764 = 225x^2 + 81x^2 = 306x^2[/tex]

or

[tex]x^2 = \frac{1764}{306} = 5.76[/tex]

[tex]x = \sqrt{5.76} = 2.4[/tex]

Then:

width of the television (15x) = 15(2.4) = 36 inches and

Height of the television (9x) = 9(2.4) = 21.6 inches.

Therefore, the actual dimensions of the television are;

width = 36 inches and height = 21.6 inches.

Answer:

4:5 ,15:16

Step-by-step explanation:

divide 12 and 15 by 3 to get 4 and 5

Answer:

1.3 L more.

Step-by-step explanation:

Givens

8 fluid ounces = 1 cup.

240 mL = 1 cup

Solution

4 cups = 1 L

64 fluid ounces = x cups

8/64 = 1  / x                          Cross multiply

8x = 64                                 Divide by 8

8x/8 = 64/8

x = 8 cups

So we should be drinking 8 cups a day

1 L = 4 cups

x    = 8 cups                     Cross multiply

4x = 8 cups                      Divide by 4

x = 8/4            

x = 2 Liters.

1 L = 1000 mL

x L = 700 mL

700 * 1 = 1000 * x

Divide by 1000

x = 700 / 1000

x = 0.7 L

He needs to drink 2 L - 0.7L

1.3 more liters.

Answer: 1.3 L

Step-by-step explanation:

Answer:

The area of a polygon is the number of square units inside that polygon. Area is 2-dimensional like a carpet or an area rug.

trapezoidA trapezoid is a 4-sided figure with one pair of parallel sides. For example, in the diagram to the right, the bases are parallel. To find the area of a trapezoid, take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2, The formula for the area of a trapezoid is:

area_trapezoid1.gif or area_trapezoid2.gif

Where b1.gif is base1.gif, b2.gif is base2.gif, h.gif is height and · means multiply.

Each base of a trapezoid must be perpendicular to the height. In the diagram above, both bases are sides of the trapezoid. However, since the lateral sides are not perpendicular to either of the bases, a dotted line is drawn to represent the height.

In Examples 1 and 3 below, the height is a side of the trapezoid since it is perpendicular to the base. In Example 2, the lateral sides are not perpendicular to the base, so a dotted line is drawn to represent the height.

Example 1: Find the area of a trapezoid with bases of 10 inches and 14 inches, and a height of 5 inches.

trapezoidSolution:

area_trapezoid2.gif

a_0.gif = one_half.gif · (10 in + 14 in) · 5 in

a_0.gif = one_half.gif · (24 in) · (5 in)

a_0.gif = one_half.gif · 120 in2

a_0.gif = 60 in2

Example 2: Find the area of a trapezoid with bases of 9 centimeters and 7 centimeters, and a height of 3 centimeters.

Solution:

trapezoidarea_trapezoid2.gif

a_0.gif = one_half.gif · (9 cm + 7 cm) · 3 cm

a_0.gif = one_half.gif · (16 cm) · (3 cm)

a_0.gif = one_half.gif · 48 cm2

a_0.gif = 24 cm2

Example 3: The area of a trapezoid is 52 square inches and the bases are 11 inches and 15 inches. Find the height.

trapezoidSolution:  

area_trapezoid2.gif

52 in2 = one_half.gif· (11 in + 15 in) · h.gif

52 in2 = one_half.gif· (26 in) · h.gif

52 in2 = (13 in) · h.gif

52 in2 ÷ (13 in) = h.gif

h.gif = 4 in

trapezoidSummary: To find the area of a trapezoid, take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2, The formula for the area of a trapezoid is:

area_trapezoid1.gif or area_trapezoid2.gif

Where b1.gif is base1.gif, b2.gif is base2.gif, h.gif is height.

Step-by-step explanation:

The law of large number states that , if number of trials increases in an experiment , in a fair trial where each outcome has same chance of occurring or having equal probabilities,when total number of trials  goes higher and higher the probabilities of each single outcome becomes approximately equal.→→In case of Experimental Probability

The Coin Possessed by Jake is a Magic coin.

Now Outcomes received by jake when he tosses the coin certain number of times.He flipped it 100 times, and found that it came up heads 64% of the time. He flipped it another 500 times, and it came up heads 57% of the time. He then flipped it 1000 times, and it came up heads 58% of the time. Then, he flipped it 1500 times, and it came up heads 62% of the time.

Based on the information provided , it appears that coin is not fair . It is  Unbiased.So , if we apply law of large numbers here after number of trials will go higher and higher , the chances of coming head will be more than tail i.e theoretical probability of the magic coin coming up heads is> 50%.

To test my hypothesis i have used the information provided by Jake, which shows that coin is not fair. The probability of head has more than tail i.e by 14%, 7%,8% and 12%.

Answer:

B

Step-by-step explanation:

under a dilatation about the origin of scale factor 3

since dilatation is about the origin multiply the coordinates of A, B and C by 3

A(8, 15) → A' (24, 45)

B(12, 13) → B'(36, 39)

C(8, 10) → C'(24, 30)

using the distance formula

with (x₁, y₁ ) = C'(24, 30) and (x₂, y₂ ) = B'(36, 39)

BC = [tex]\sqrt{(36-24)^2+(39-30)^2}[/tex]

     = [tex]\sqrt{144+81}[/tex] = [tex]\sqrt{225}[/tex] = 15 → B

Answer:

Step-by-step explanation:

If there are 4 coins and two faces on those coins then that means there are 4 faces flipping them both at the same time means it will have a 25% chance of them landing on the same side

Answer:

25%

Step-by-step explanation:

Okay so let's just say that you are tossing one coin and you want to know the chance of it landing as tails well its a 50 out of 100 chance of it being tails that is because there are two sides. But you have two so all together there are 4 sides. So let's say that each coin is 50 so now we need to find a even number for all sides, So let's just do 50 -25 = 25 so that lets us know that we can make each side 25%... So now you have a 25%  chance of landing both coins as a tail.

I'm so sorry if this does not make seance I have a very hard time explaining things...  

Answer:

-8d^2+10d-3

Hope i helped if i am wrong tell me please :)

Step-by-step explanation:

combine like terms

Table D if you graph them and do the line test ( where you take a vertical line and see if it touches two points on a graph) you will see that everything else EXCPET D will be touched by the vertical line.

Answer:

Here’s the graph

Step-by-step explanation:

Answer:

27.2

Step-by-step explanation:

32*.85=27.2

Answer:

$27.20

Step-by-step explanation:

15 percent of 32 is 4.8

32-4.8= 27.20 so $27.20

Answer:

29 students

Step-by-step explanation:

First you subtract 6 from 122 so you aren’t counting the remaining 6. You get 116

Then you divide 116 by 4 to find how many students are in his class which is 29

Answer:

(17.8 , 1.6)

Answer:

1650

Step-by-step explanation:

If there are 275 pages and each page can fits 6 coins then you multiply 6 by 275.

Answer:

6 on each page; 1,650 in total coins for all the pages

Step-by-step explanation:

1. The first step is to multiply 1/6*6 to find out how many coins can fit on one page.

2.The second step is to multiply 6 *275. That equals 1,650

Answer:

yes

Step-by-step explanation:

Because 4:3 simplifies to 2:1.5

[tex]\bf \qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &5000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=\textit{elapsed time}\dotfill &x\\ \end{cases} \\\\\\ A=5000(1+0.09)^x\implies A=5000(1.09)^x[/tex]

Answer:

The equation of line would be y = 2

Step-by-step explanation:

Since the x-axis is horizontal, we would look for another horizontal line to be parallel. All horizontal lines can be written as y = (a number). We can find that number as the y-coordinate in the ordered pair (2)

y = 2

Answer:

option (a) y=|x-4| is correct.

Step-by-step explanation:

Solve the question by elimination method i.e. put values of x in the given equations and check if equality holds.

(b) if x=2, then y= |2| - 4 = -2 , which is wrong

(c) if x=2, then y = |2| + 4 = 6, which is wrong

(d) if x= 2, then y = |2 + 4| = 6, which is wrong

The equality holds for (a).

Answer:

Its 0.9

Step-by-step explanation:

this is a good enpugh answer

Answer:

(1,-4)

Step-by-step explanation:

Remember, the diameter of a circle crosses through the center from one side of the circle to the other. It is 2 times the radius. This means the center of the circle is the midpoint of the diameter. We find it using the midpoint formula:

[tex](\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})[/tex]

[tex](\frac{-4+6}{2} , \frac{-5+-3}{2})=(\frac{2}{2} , \frac{-8}{2})=(1,-4)[/tex]

Answer: 6*(13+7) = 60

Step-by-step explanation:

6*13+6*7

6*(13+7) = 6*10 =60

The required equivalent expression is [tex]6(13+7)[/tex].

Given:

The expression is:

[tex]6\times 13+6\times 7[/tex]

To find:

The equivalent expression of the given expression by using the distributive property.

Explanation:

Distributive property: If [tex]a,b,c[/tex] are three real numbers, then

[tex]a(b+c)=ab+ac[/tex]

We have,

[tex]6\times 13+6\times 7[/tex]

Using the distributive property, we get

[tex]6\times 13+6\times 7=6(13+7)[/tex]

Therefore, the required equivalent expression is [tex]6(13+7)[/tex].

Learn more:

https://brainly.com/question/7627111

Answer:

a = 7cm

b = 3cm

Step-by-step explanation:

84 - 21 = 63cm²

XYRQ = 63cm²

63 / 9 = 7cm

a = 7cm

21 / 7 = 3cm

b = 3cm

The total number of seats in a row = 5

Lets suppose you are standing in front of the row, so you have 3 seats on one side of you then the passage of the plane and 2 seats on the other side. Out of 3 seats, 1 is window, 1 is middle and 1 is aisle. Similarly, out of the 2 seats on the other side, 1 is the window and 1 is aisle seat, Hence, a total of 5 seats.

As 2 friends have requested to be seated in the same row. So probability of them getting aisle seats becomes 2/5 for 1st friend (as there are 2 aisle seats out of 5 seats) and 1/4 (1 seat is already allocated to the friend so only 1 aisle seat is left out of 4 seats) for the second one.

So, joint probability becomes = [tex]\frac{2}{5}*\frac{1}{4}= \frac{1}{10}[/tex]

or probability becomes 0.1

Answer:

1:8

Step-by-step explanation:

We know that every 9 computers there are 72 students, so if we divide 72 by 9 it will be 8. Therefore for 1 computer it has 8 students.