Select all the correct answers. A farmer wants to build two fenced-off sections within his field, one in the shape of a rectangle and the other in the shape of a square. The side of the square must be equal to the width of the rectangle, x feet. The length of the rectangle must be 50 feet longer than its width. The field the farmer wants to build the two fenced sections in has an area of y square feet. The difference of the area of this field and the area of the fenced, square section needs to be at least 1,000 square feet. In addition, the sum of the fenced areas must be less than the area of the field. This is the system of inequalities that represents this situation. Which points represent viable solutions?

Answer:

56

Step-by-step explanation:

Answer:

54 gallons of 26 percent green dye and then 54 gallons of 16 percent green dye

Step-by-step explanation:

Answer:

6 < √38 < 7

Step-by-step explanation:

6 squared is 36, which is right under 38 and 7 squared is 49, meaning 7 is the first number right above it. This means that:

√36 < √38 < √49

6 < √38 < 7

The numbers which have only two factors either 1 and the number itself are called prime numbers.

Prime number is a natural number greater than 1 that is not a product of two smaller natural numbers while a natural number greater than 1 that is not prime is called a composite number

Therefore a prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into another number. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29

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Answer:

Step-by-step explanation:

Step: Solve−3x−4y=15for x:

−3x−4y=15

−3x−4y+4y=15+4y(Add 4y to both sides)

−3x=4y+15

−3x

−3

=

4y+15

−3

(Divide both sides by -3)

x=

−4

3

y−5

When one rectangular tile is 4 cm shorter and 2 cm broader than another rectangular tile, the difference in their perimeters is 2.

4 sides, 4 corners, and 4 right angles make up the 2D shape of a rectangle. A rectangle's diagonal sides are equal in length, with one pair being longer than the other. A rectangle would be referred to as a square if all of its sides were the same size.

given

Allowing for a rectangular card that is x cm long and y cm broad

The perimeter of another rectangular tile is 2 cm broader and 4 cm shorter.

L+B = L+B -2 = 2(L + B)

= 2(L-4 + B+2) = 2(L + B)

= L+B = L+B -2

Therefore, when one rectangular tile is 4 cm shorter and 2 cm broader than another rectangular tile, the difference in their perimeters is 2.

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Answer:

25%

Step-by-step explanation:

3/12 kids read over 9.5 hours

3 x 4 is 12

from percents, 25, 50, 75, 100

so it would be 25%

Answer:

True, 50 tens times hundreds equal 40 tens times 5 hundreds

Step-by-step explanation:

50 tens times 4 hundreds equals to 40 ten times 5

hundreds because if you multiply 50 by 4 hundreds

you'll get 20,000 and if you multiply 40 tens by

hundred it will still give you 20,000

Therefore:

50 × 400 = 40 × 500

20,000 = 20,000

Answer:

A) 26.563 miles in total

B) 1.977 more miles

Step-by-step explanation:

for the first question, add all the values together. for the second question, take the amount jade ran and subtract the amount noah ran from it to get how much more jade ran.

The value of the angle theta is 58 degrees

From the question, we have the following parameters that can be used in our computation:

Sin 0=0.85

Express the angle in the equation properly

So, we have the following representation

sin(Ф) = 0.85

Take the arc sin of both sides of the equation

So, we have the following representation

sin⁻¹(sin(Ф)) = sin⁻¹(0.85)

Evaluate the arc sin of one side of the equation

So, we have the following representation

Ф = sin⁻¹(0.85)

Evaluate the arc sin of the other side of the equation

So, we have the following representation

Ф = 58.2116693829

Approximate the equation

Ф = 58 degrees

Hence, the solution is 58 degrees

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Answer:

when I see this I know and can show you how to solve the question and the answer it 2 and it's obvious so if you don't know it that's pretty much sad and pathetic answer 2

9514 1404 393

Answer:

  11.4

Step-by-step explanation:

Put the given coordinates in the distance formula and do the arithmetic.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((1 -(-8))² +(7 -0)²) = √(9² +7²) = √130

  d ≈ 11.4 . . . . units

The distance between the two points is about 11.4 units.

Answer:

a) 142506

b) 61776

c) 0.4333

Step-by-step explanation:

Given

Three microchips in a production run of thirty are defective

The probability of having a defective microchips is 3/30 = 0.1

Probability of having a good microchip is 0.9

a) Possible ways of selecting five sample =  

30C5

30*29*28*27*26*25!/25! *5! = 17100720/120 = 142506

b) With one defective microchip  

Total sample – sample without any defective microchip  

142506 – 37C5

142506 – 80730

61776

c) Probability = 61776/142506 = 0.4333

Answer:

720m^2

Step-by-step explanation:

Answer your answer is B

Answer:

1 and 2

Step-by-step explanation:

if you flip T2 it will look like T1

Answer:

The correct answer is a D

Step-by-step explanation:

if you look at figures 1 and 3 they are the same only that 3 is bigger

Answer:

The high of cylinder is 47 m. or inch.. cuz if you make angles and sides of fraction it may multiple by 30 so it would be 47..

Step-by-step explanation:

HOPE IT HELPS!!

Answer:

www.imsorryineedpoints.orgStep-by-step explanation:

The two consecutive odd numbers such that the difference between their reciprocals is of 2/99 are given as follows:

9 and 11.

The two numbers are odd numbers and consecutive, hence they are symbolized as follows:

n and n + 2. (as n + 1 is even).

Their reciprocals are given as follows:

The difference of their reciprocals is obtained as follows:

1/n - 1/(n + 2) = 2/99.

The least common factor of n and n + 2 is of n x (n + 2), hence:

(n + 2 - n)/[n(n + 2)] = 2/99

2/[n(n + 2)] = 2/99.

As the numerators are equal, we take the denominators to solve for n as follows:

n(n + 2) = 99.

n² + 2n - 99 = 0.

(n - 9)(n + 11) = 0.

Applying the Factor Theorem, the solutions are given as follows:

We want the positive numbers, hence the numbers are:

n = 9 and n + 2 = 9 + 2 = 11.

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No, 11^2 x 5^4 is not a factor of 11^3 x 5^4.

To see this, you can divide 11^3 x 5^4 by 11^2 x 5^4 and see that there is a remainder.

11^3 x 5^4 = (11 x 11 x 11) x (5 x 5 x 5 x 5)

= 121 x 625

= 75125

11^2 x 5^4 = (11 x 11) x (5 x 5 x 5 x 5)

= 121 x 625

= 75125

75125 / 75125 = 1 with a remainder of 0.

Therefore, 11^2 x 5^4 is not a factor of 11^3 x 5^4.

Answer:

[tex]S_{1000}=500500[/tex]

Step-by-step explanation:

[tex]\displaystyle S_n=\frac{n(a_1+a_n)}{2}=\frac{1000(1+1000)}{2}=500*1001=500500[/tex]

Answer:

a translation of 4 in y direction.

hope it helps.

stay safe healthy and happy.

Answer:

The 99% confidence interval for the true mean IQ score for all children of this group is (97.4, 102.6). The lower limit is 97.4 and the upper limit is 102.6.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.575\frac{10}{\sqrt{100}} = 2.575[/tex]

Rounding to one decimal place, the margin of error is 2.6.

The lower end of the interval is the sample mean subtracted by M. So it is 100 - 2.6 = 97.4.

The upper end of the interval is the sample mean added to M. So it is 100 + 2.6 = 102.6.

The 99% confidence interval for the true mean IQ score for all children of this group is (97.4, 102.6). The lower limit is 97.4 and the upper limit is 102.6.

Given:

A right triangle with angles 30, 60, 90 degrees.

Hypotenuse = [tex]2\sqrt{2}[/tex] mm.

Base = y

To find:

The value of y.

Solution:

In a right angle triangle,

[tex]\cos \theta = \dfrac{Base}{Hypotenuse}[/tex]

[tex]\cos (60^\circ)= \dfrac{y}{2\sqrt{2}}[/tex]

[tex]\dfrac{1}{2}=\dfrac{y}{2\sqrt{2}}[/tex]

[tex]\dfrac{2\sqrt{2}}{2}=y[/tex]

[tex]\sqrt{2}=y[/tex]

Therefore, the value of y is [tex]\sqrt{2}[/tex] mm.

Answer:

5,50,500,5000,50000

Step-by-step explanation:

The first term is given

a1 =5

The second term is when n=2

a2 = 10 * a1 = 10 * 5 = 50

The third term is when n=3

a3 = 10 * a2 = 10 * 50 = 500

The fourth term is when n=4

a4 = 10 * a3 = 10 * 500 = 5000

The fifth term is when n=5

a5 = 10 * a4 = 10 * 5000 = 50000

Answer:

Volume = πr²h

= π x 3² x 6

= 54π

Option B

Answer:

  (c)  8 jars

Step-by-step explanation:

You want to know the number of 1.25 quart jars that can be filled from a 2.5 gallon container.

The number of jars can be found from ...

  (2.5 gal) × (4 qt/gal) × (1 jar)/(1.25 qt) = (2.5·4/1.25) jars = 8 jars

Lorraine can fill 8 jars from the 2.5 gallon pot.

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Answer:

I am pretty sure that the answer is d

Step-by-step explanation:

The listing of the given values from the least to the greatest = -$25.18, -$24.72, -$24.12, $25.12, $47.72 and $48.12.

A number line is defined as the expression that represents the location of real numbers as being a positive number or a negative number.

The negative values which are the least in the number line are usually higher in value than the greater numbers, while the greater values are higher for positive numbers.

Therefore,the arrangement of the given values from least to the greatest = -$25.18, -$24.72, -$24.12, $25.12, $47.72 and $48.12.

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