4x + 6y = -22
y + 3x = 1
Solution

The area of the outdoor space in square feet would be= 5,842ft²

The formula that is used to calculate the area of the rectangular outdoor space = Length× width

The rectangular outdoor is made up of subsections which has the following widths:

grassy section = 49 feet

cement sidewalk = 6 feet

The overall measurement of the rectangular outdoor is given below:

Length = 127ft = 100+20+7

Width = 46 ft

Area = 127×46 = 5,842ft²

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Answer:

Hope this help........

Step-by-step explanation:

Answer:

Both the commutative property of addition and the associative property of addition can be useful in simplifying expressions involving fractions and mixed numbers. The commutative property of addition allows you to reorder terms while the associative property of addition allows you to regroup terms

Step-by-step explanation:

Both the commutative property of addition and the associative property of addition can be useful in simplifying expressions involving fractions and mixed numbers. The commutative property of addition allows you to reorder terms while the associative property of addition allows you to regroup terms

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Answer:

$105.22

Step-by-step explanation:

d

Step-by-step explanation:

any three point line on a distinct line

i think....

Answer:

1:6

Step-by-step explanation:

you have one out of 6 chances to pick the yellow marble

Answer:

yellow is 1 out of 6

blue 1 of 5

Step-by-step explanation:

brainliest if u want

hope it helps

Answer:

A=2

Step-by-step explanation:

Answer:

A=2(wl+hl+hw)

This is the formula but what is the prism you want the area for.

In a family with five girls and the probability of a boy being born is 1/2, the probability of the next child being a boy is still 1/2.

The previous births do not affect the probability of the next birth since each birth is an independent event.

The probability of an event occurring is determined by the ratio of the number of favorable outcomes to the total number of possible outcomes. In this case, the event of interest is the birth of a boy.

Since each birth is an independent event, the probability of having a boy on any given birth is always 1/2, regardless of the previous children born.

In the given scenario, the family already has five girls. This information is not relevant to the probability of the next child being a boy. The gender of the previous children does not affect the probability of the next child being a boy or a girl.

Therefore, the probability of the next child being a boy remains 1/2, as it is for any independent birth event.

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Answer:

normal force decreases

Step-by-step explanation:

N=mgcosθ, and cosine decreases as theta increases

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Answer:

A) decreases

Step-by-step explanation:

As the angle of the incline increases, the normal force decreases, which decreases the frictional force. The incline can be raised until the object just begins to slide.

Answer:

each of the drinks are $3

Step-by-step explanation:

Answer: 10 d d d / 19

D = 3

Step-by-step explanation:

The additional congruency statement(s) needed to prove ∆ABC ≅ ∆FGH for the given theorem are,

A) We want to one more side for the prove of ∆ABC ≅ ∆FGH.

As, GH = CB

B) We want to one more angle for the prove of ∆ABC ≅ ∆FGH.

As, ∠FHG = ∠ACB

We have to given that;

State the additional congruency statement(s) needed to prove ∆ABC ≅ ∆FGH for the given theorem.

Here, We have to given that;

AB = FH

∠BAC = ∠HFG

Hence, For SAS congruency theorem;

We want to one more side for the prove of ∆ABC ≅ ∆FGH.

As, GH = CB

For ASA congruency theorem;

We want to one more angle for the prove of ∆ABC ≅ ∆FGH.

As, ∠FHG = ∠ACB

Thus, The additional congruency statement(s) needed to prove ∆ABC ≅ ∆FGH for the given theorem are,

A) We want to one more side for the prove of ∆ABC ≅ ∆FGH.

As, GH = CB

B) We want to one more angle for the prove of ∆ABC ≅ ∆FGH.

As, ∠FHG = ∠ACB

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Paul's monthly payment is $142.

What is the monthly payment?

What you pay each month to the lender to pay back your loan is known as your monthly payment. Your mortgage loan's terms will determine how much you pay each month. This includes both the loan's interest and principal, which is the actual amount owed.

Here, we have

The price of the TV is £1600 plus 20% VAT and he deposited £500 and the balance in ten equal monthly payments.

We have to calculate each monthly payment.

By applying monthly payment formula, we get

Price of the TV = $1600

20% VAT = $(1600 ×(1+ 20/100))

= $1920

He pays a £500 deposit.

So, balance = $(1920 - 500) = $1420

When this balance is paid in ten equal monthly payments, then the amount of each payment is $(1420/10)  = $142

Hence, Paul's monthly payment is $142.

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Answer:

D. 12 units

Step-by-step explanation:

For a point to be translated x units to the left, we must subtract x from the original point, so the x coordinate for M' is -4 as 4 - 8 = -4

For a point to be translated x units down, we must subtract x from the original point, so the y coordinate for M' is -3 as 6 - 9 = -3

Thus, the coordinates for M' is (-4, -3)

The formula for distance, d, between two points is

\(d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\), where (x1, y1) is one point and (x2, y2) is another point.

If we allow M (4, 6) to be our x1 and y1 point and M' (-4, -3) to be our x2 and y2 point, we can find the distance between the two points:

\(d=\sqrt{(4-(-4))^2+(6-(-3))^2}\\ d=\sqrt{(4+4)^2+(6+3)^2}\\ d=\sqrt{(8)^2+(9)^2}\\ d=\sqrt{64+81}\\ d=\sqrt{145}\\ d=12.04159458\)

Answer:

a. The polygon is a square of sides 5.7 units

b. The vertices are : (0,5) ,(4,1) ,(-4,1) ,(0,-3)

c. 32 unit square

Step-by-step explanation:

The system of inequalities are given as;

i) y ≥ |x|-3

ii) y ≤  -|x|+5

a) The graph is as shown attached below. The polygon is a square of sides 5.7 units

b) The vertices are : (0,5) ,(4,1) ,(-4,1) ,(0,-3)

c) The area is : l² = 5.7² = 32 unit square

the probability of obtaining a sample mean within 500 of the population mean is approximately 0.6827.

To solve this problem, we need to use the central limit theorem which states that the distribution of the sample means will be approximately normal with mean equal to the population mean and standard deviation equal to the population standard deviation divided by the square root of the sample size.

Given that the population mean is 51800 and the population standard deviation is 4000, we can calculate the standard error of the mean as follows:

Standard error of the mean = 4000 / sqrt(64) = 500

We want to find the probability of obtaining a sample mean within 500 of the population mean. This can be written as:

P(51800 - 500 < X < 51800 + 500)

where X is the sample mean.

We can standardize this interval using the standard error of the mean:

P(-1 < Z < 1)

where Z is a standard normal variable.

Using a standard normal table, we find that the probability of Z being between -1 and 1 is approximately 0.6827.

Therefore, the probability of obtaining a sample mean within 500 of the population mean is approximately 0.6827.

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Answer:

d

Step-by-step explanation:the line from the graph goes down from the original point

Answer:D

this is not worth 20 points it's worth 10 also it's D

Answer:

\(x=-2\\\)

Step-by-step explanation:

\(8^x=\frac{1}{64}\\xlog8=log\frac{1}{64}\\x=\frac{log\frac{1}{64}}{\log8}\\x=-2\)

First we write the equation given

Next we take the log of both sides. This turns \(x\) into a normal term instead of an exponent, but turns \(8\) and \(64\) into the log version of themselves.

Next we can divide both sides by \(log8\) to isolate \(x\).

This gives us our answer of \(\boxed{-2}\)

9514 1404 393

Answer:

  7 hours

Step-by-step explanation:

4 × (1 3/4) = 4×1 + 4×3/4 = 4 + 3 = 7

Mimi spent 7 hours watching the game.

Answer:

Step-by-step explanation:

3/6 is 0.5

36/100 is 0.36

4/11 is 0.363636

9/25 is 0.36

Hope it helped :)

A NORMAL distribution is a symmetrical probability distribution with a bell-shaped curve. It is also called a Gaussian distribution or a normal curve. This distribution is often used in statistics to represent a large number of natural phenomena, such as the distribution of height, weight, or IQ scores in a population.

The first deviation of a NORMAL distribution includes 68.2% of the data. This means that if we were to take a random sample of data from a normally distributed population, about 68.2% of the data would be within one standard deviation of the mean.

The second deviation includes 95.4% of the data. This means that about 95.4% of the data would be within two standard deviations of the mean.

The third deviation includes 99.7% of the data. This means that about 99.7% of the data would be within three standard deviations of the mean.

It is important to note that while these percentages hold true for a NORMAL distribution, they may not apply to other types of distributions.

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Answer: <BOC and <COD are supplementary. The sum of their angle measures is 180 degrees.

Step-by-step explanation:

Since angles BOC and COD both form a horizontal line (line BOD) when added together, the two angles are supplementary. Supplementary angles always equal 180 degrees when added together because they form a straight line, or half of a circle.

Therefore, <BOC and <COD are supplementary, and the sum of their angle measures is 180 degrees.

I hope this helps!

The factored form of the equation x² + 6x + 8 is (x + 4) (x + 2), that is, option B.

Here, we are given a quadratic equation x² + 6x + 8

We can factorize this equation using the splitting the middle term method.

Here the coefficient of x is 6, hence, we need to spilt 6 in such a manner that the product of the split terms is 8.

6 can be written as 4 + 2 and we can see that 4 × 2 = 8

Hence, we can write the given equation as-

x² + 4x + 2x + 8

= x (x + 4) + 2 (x + 4)

= (x + 4) (x + 2)

Hence, the factored form of the equation x² + 6x + 8 comes out to be (x + 4) (x + 2), that is, option B.

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Answer:

The triangle can be classified as a right triangle.

Step-by-step explanation:

Take a look at triangle ACD alone.  There is a right angle on the side of ABC in which the other triangle ACD should also be a right triangle since it has a right angle.

Answer:

Step-by-step explanation:

To solve this problem, we need to set up a system of equations based on the given information. Let's assume that the farmer needs x cubic yards of mix a and y cubic yards of mix b.

For phosphoric acid, the equation would be:
x * pounds of phosphoric acid in mix a + y * pounds of phosphoric acid in mix b = pounds of phosphoric acid required

For nitrogen, the equation would be:
x * pounds of nitrogen in mix a + y * pounds of nitrogen in mix b = pounds of nitrogen required

For potash, the equation would be:
x * pounds of potash in mix a + y * pounds of potash in mix b = pounds of potash required

We can solve this system of equations using substitution or elimination method. Once we find the values of x and y, we can calculate the total cost.

Since the question asks for the answer in more than 100 words, I'll provide an explanation for the solution process.

1. Set up the equations using the given information.
2. Solve the system of equations to find the values of x and y.
3. Substitute the values of x and y into the cost equation to find the total cost.

The solution to the problem is to blend x cubic yards of mix a and y cubic yards of mix b to meet the minimum monthly requirements at a minimum cost. The total cost can be calculated by substituting the values of x and y into the cost equation.

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Answer: x =-9/5

Step-by-step explanation:

Answer:

\(-1\)

Step-by-step explanation:

Step 1:  Multiply

\(-\frac{1}{6} * \frac{6}{1}\)

\(-\frac{1*6}{6*1}\)

\(-\frac{6}{6}\)

\(-1\)

Answer: The correct answer is -1

Answer:

t/3

t = 12

Replace "t" with its actual given value

12/3 = 4

The Time taken by Jacob to run the dash race is (80 - t) seconds

We are told that;

Total distance for the dash race = 500 yards

Time taken by Jacob to run the dash race = 80 seconds

Now, we are told that Juan ran the same dash race but used t less seconds than Jacob. Thus;

Time taken by Jacob to run the dash race = (80 - t) seconds

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Answer:

the median is 3 for your question