A company produces two types of doghouses, regular and deluxe. A regular doghouse requires 7 hours to build and 3 hours to paint. A deluxe doghouse requires 11 hours to build and 4 hours to paint. The company employs 5 builders and 2 painters. Each employee can work a maximum of 40 hours.

a. Write a system of inequalities that can be used to find the number of each type of doghouse built in a week. Define the variables you use in your system.

Both tanks will hold the same amount of water in 6 hours.

Let's assume that after "x" hours, both tanks will hold the same amount of water.

The amount of water in gallons after "x" hours can be calculated as:

Amount of water in Tank A = Initial amount + Rate * Time

Amount of water in Tank A = 300 + 5x

The amount of water in gallons after "x" hours can be calculated as:

Amount of water in Tank B = Initial amount - Rate * Time

Amount of water in Tank B = 348 - 3x

Since we want both tanks to hold the same amount of water, we can set up the equation:

300 + 5x = 348 - 3x

To solve for "x," we can combine like terms and isolate the variable:

5x + 3x = 348 - 300

8x = 48

x = 48 / 8

x = 6

Therefore, after 6 hours, both Tank A and Tank B will hold the same amount of water.

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The solution of the system of equations:

2x+2y+ 6z = 8

5x+6y + 5z = 3

5x + 6y + 3z = 5

Is the one in option a.

(x= 34, y = -27,z = -1)

Here we have the system of equations:

2x+2y+ 6z = 8

5x+6y + 5z = 3

5x + 6y + 3z = 5

If we subtract the third equation from the second one we will get:

(5x + 6y + 5z) - (5x + 6y + 3z) = 3 - 5

5z - 3z = -2

We just removed two of the variables, so we can now solve this linear equation for z so we get:

2z = -2

z = -2/2

z = -1

We know that the value of z is -1, that is enough to identify the correct option because only one of these has z = -1  which is the first one, so that is the correct option.

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Answer:

The answer is 8!

Step-by-step explanation:

75% is 3/4 of 100 so you take 32÷4 and get 8, hope this helps:)

Alternative method:

Answer:

8

Hope you could get an idea from here.

Doubt clarification - use comment section.

Mork bought a new car for $48,000, and its depreciation rate is expected to be 12% per annum. Mindy purchased an old collectible car for $3,200, and it is projected to appreciate at a rate of 25% per annum.

In terms of depreciation, Mork's new car is expected to lose 12% of its value each year. Therefore, after the first year, the car's value would decrease by 12% of $48,000, resulting in a depreciation of $5,760. The car's value at the end of the first year would be $48,000 - $5,760 = $42,240. This process would continue each year with a 12% decrease in value.

On the other hand, Mindy's collectible car is expected to appreciate by 25% each year. After the first year, the car's value would increase by 25% of $3,200, resulting in an appreciation of $800. The car's value at the end of the first year would be $3,200 + $800 = $4,000. Similarly, the value would continue to appreciate by 25% each year.

The difference in value between the two cars over time will likely be significant. Mork's new car will experience a continuous decline in value due to depreciation, while Mindy's collectible car will appreciate in value. This highlights the contrasting nature of the two cars' investment potential. Mork's car would be worth less each year, while Mindy's car would increase in value, potentially making it a more valuable asset over time.

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The circumstance that the score is located 5 points above the mean a central value, relatively close to the mean is when the population standard deviation is much greater than 5.

Standard Deviation is a measure which shows how much variation (such as spread, dispersion, spread,) from the mean exists. The standard deviation indicates a “typical” deviation from the mean. It is a popular measure of variability because it returns to the original units of measure of the data set.

Here, we have

We have to find under what circumstances is a score that is 5 points above the mean considered a central value--meaning it is relatively close to the mean.

We concluded from the above statement that when the population standard deviation is much greater than 5.

Hence, when the population standard deviation is much greater than 5 then, the score that is 5 points above the mean is considered a central value.

Therefore, the correct option is D.

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Answer:

y is 25.45

Step-by-step explanation:

y=1.65x+2.35 insert the unknown x

y=1.65(14)+2.35 open brackets by multiplication

y=23.1+2.35

y=25.45

To compute the z-score for each observation, we need to standardize the data using the formula z = (x - μ) / σ, where x is the individual observation, μ is the mean of the sample, and σ is the standard deviation of the sample.

Given the sample observations: 16, 11, 13, 22, 15, and 19, we can calculate the z-score for each observation as follows:

Calculate the mean (μ) of the sample:

μ = (16 + 11 + 13 + 22 + 15 + 19) / 6 = 16

Calculate the standard deviation (σ) of the sample:

Step 1: Calculate the squared deviations from the mean for each observation:

(16 - 16)², (11 - 16)², (13 - 16)², (22 - 16)², (15 - 16)², (19 - 16)²

0, 25, 9, 36, 1, 9

Step 2: Calculate the variance:

Variance = (0 + 25 + 9 + 36 + 1 + 9) / 6 = 80 / 6 ≈ 13.33

Step 3: Calculate the standard deviation:

σ = √(Variance) = √13.33 ≈ 3.65

Calculate the z-score for each observation:

z = (x - μ) / σ

For 16: z = (16 - 16) / 3.65 = 0 / 3.65 = 0

For 11: z = (11 - 16) / 3.65 = -5 / 3.65 ≈ -1.37

For 13: z = (13 - 16) / 3.65 = -3 / 3.65 ≈ -0.82

For 22: z = (22 - 16) / 3.65 = 6 / 3.65 ≈ 1.64

For 15: z = (15 - 16) / 3.65 = -1 / 3.65 ≈ -0.27

For 19: z = (19 - 16) / 3.65 = 3 / 3.65 ≈ 0.82

The z-scores for the given sample observations are: 0, -1.37, -0.82, 1.64, -0.27, and 0.82.

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The choir booster club started the school year with a budget of $1,300.00. After spending $225.30 on t-shirts, $482.25 on lost uniforms, and $135.68 on a holiday party, they have $456.77 left in their budget.

Explanation: To calculate the amount left in the booster club's budget, we need to subtract the total expenses from the initial budget.

The total expenses are $225.30 + $482.25 + $135.68 = $843.23. Subtracting this amount from the initial budget of $1,300.00 gives us $1,300.00 - $843.23 = $456.77.

Therefore, the choir booster club has $456.77 left in their budget after spending on t-shirts, lost uniforms, and a holiday party.

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Answer:y = (3/4)x + 9

Step-by-step explanation:

y - y₁ = m(x - x₁)

y - 3 = 3/4(x - (-8))

y - 3 = 3/4(x + 8)

y - 3 = (3/4)x + 6

y = (3/4)x + 9

Answer:

y = - \(\frac{3}{2}\) x - 9

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - \(\frac{3}{2}\) , then

y = - \(\frac{3}{2}\) x + c ← is the partial equation

to find c substitute (- 8, 3 ) into the partial equation

3 = - \(\frac{3}{2}\) (- 8) + c = 12 + c ( subtract 12 from both sides )

- 9 = c

y = - \(\frac{3}{2}\) x - 9 ← equation of line

Answer:

C or D

Step-by-step explanation:

For this question, the formula we'll be using is the Pythagorean theorem

( \(a^{2} +b^{2} =c^{2}\) ).

So lets find out the missing length x?

First lets find the missing length of the right triangle, to the right.

We can label the first side (3), as "A", the second side (8), as B.

That would look like, when plugged in the equation:

\(3^{2} +8^{2}=c^{2}\)

We need to solve for "c".

3 squared is equal to 9.

8 squared is equal to 64.

9+64 = 73

\(73=c^{2} \\\)

Unsquared both sides (square root)

\(\sqrt{73} =c\)

--------------

We found one side, we can use to find "x".

Now lets follow the same process, with the triangle to the left.

\(a^{2} +b^{2} =c^{2}\)

-Plug in following numbers:

\(6^{2} +(\sqrt{73})^{2} =c^{2} \\36+73=c^{2} \\109=c^{2} \\\\\\\sqrt{109} =c\)

so \(x=\sqrt{109}\)

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I hope this helps,

-Oceanbreeze24

Answer:

The answer is 24%.

Step-by-step explanation:

If you subtract 798 from 1050 you will get 252. Then, divide 252 by 1050. What you get from this is 0.24, which in percentage form is 24%.

Answer:

I think that it is proportional

Step-by-step explanation:

At the point (1, 2), y = 16.

To evaluate y at the point (1, 1) for the equation (2x - y)^4 + 2y^3 = 16, we substitute x = 1 and y = 1 into the equation and solve for y.

(2(1) - y)^4 + 2(1)^3 = 16

Simplifying further:

(2 - y)^4 + 2 = 16

Now, we can solve for (2 - y)^4:

(2 - y)^4 = 16 - 2

(2 - y)^4 = 14

Taking the fourth root of both sides:

2 - y = ±√14

Now, isolate y:

y = 2 - √14  or  y = 2 + √14

Therefore, at the point (1, 1), y can have two possible values: y = 2 - √14 or y = 2 + √14.

To evaluate y at the point (1, 2) for the same equation, we substitute x = 1 and y = 2 into the equation:

(2(1) - 2)^4 + 2(2)^3 = 16

Simplifying:

(0)^4 + 2(8) = 16

0 + 16 = 16

Therefore, at the point (1, 2), y = 16.

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Answer:

Rift =37.92 pounds

Terraza=2.08 pounds

9514 1404 393

Answer:

Step-by-step explanation:

Let t represent the number of pounds of Terraza blend required. Then 40-t is the number of pounds of Rift Valley blend needed. The cost of the mix will be ...

  13.50t +10.20(40 -t) = 10.37(40)

  3.30t = 6.8 . . . . . . . . . . . . . . . . . . . . subtract 408

  t = 6.8/3.30 = 68/33 = 2 2/33 ≈ 2.06061 . . . . pounds of Terraza

Then the quantity of Rift Valley blend required is ...

  40 -2 2/33 = 37 31/33 ≈ 37.93939 . . . . pounds of Rift Valley

The correct equation would be:

0b. A = 240 - 4h

Explanation:

If Clayton can plow 4 acres per hour, the number of acres he can plow in 'h' hours would be 4h.

Therefore, the number of acres left to plow would be the total number of acres (240) minus the number of acres he has already plowed (4h).

Hence, the equation that represents the number of acres left to plow would be A = 240 - 4h.

The value of p in the given equation is -1.

Given is an equation p-3 = -4, we need to find the value of p,

So,

p-3 = -4

p = -4+3

p = -1

Hence, the value of p in the given equation is -1.

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172.16.0.0/20 is the required network address with a prefix if you need 16 subnets.

Given that,
If you require 16 subnets, your new network address with a prefix should be something different from the old one, which is 172.16.0.0/16. To determine the prefix corresponding to the 16 subnets.

Here,
Original network address with a prefix  = 172.16.0.0/16,
After 16 subnets the address would become,
New network address with the prefix with 16 subnets =  172.16.0.0/20.

172.16.0.0/20 is the required new address with prefix be if you need 16 subnets.

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Answer:

B

Step-by-step explanation: dilated means get bigger so (0,10) times 3 is (0,30) and (8,6) times 3 is (24,18) and (4,2) times 3 is (12,6)

pls mark me branliest

Answer: B

Step-by-step explanation:

it's very much correct :)

Hi there! Hopefully this helps!

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If it were me, I would tell her that if her prediction is accurate, the chance of getting tails is 0.5 (Since 240 is half of 480). The odds of landing heads would be identical, 0.5. In real life, she wouldn't certainly get 240 tails out of 480 tosses, but the standard rate of the number of tails would certainly be resembling 0.5.

The answer above is the right answer.

The strongest correlation is - 0.89 that is option B

To gauge how closely two variables are related to one another, correlation coefficients are used. The most common correlation coefficient is Pearson's, though there are other varieties as well. The correlation coefficient known as Pearson's is frequently applied in linear regression. Correlation coefficients typically fall between -1.00 and +1.00. The strongest correlation is taken into account when the value is closest to +1 or -1, according to the rule of correlation coefficients.

A positive correlation coefficient means that the two variables directly affect one other's values. There is no association between the two variables, according to a zero correlation coefficient and when the correlation coefficient is negative, it means that the values of the two variables are inversely related.

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Answer:

I attached a pic with the answer.

Answer:

angle one is 30 angle two is 60

Step-by-step explanation:

The solutions are given below.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

Part A

the dotted line formes the thrid side of the triangle.

part B

The length is the unknon side increases while kepping the known side lenths fixed, measuremnt of anggle Z will increas. So, the tringle will not fir the given conditions anymore.

part c

If the length of he unknown side decrases while keeping h known side lengths fixed,the measure of angle will decrease so he tringle will not fit the given conditions anymore.

part D

You know the given conditions for the triangle are fixed you also know the unknown side length is fixed. What dose the this tell you angles adjacent to the unknown side.

part e

The given condiction are fixed and the unknown side lenghtis fixed, the angles adjacent to the unknown side must much also be fixed.

part f

Given two side lengths and the measurement of the angle between them, only one triangle can be constructed. Part G The length of the unknown side (c) is 9.76 centimeters

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Answer:

i am sorry i can not see it

Step-by-step explanation:

Answer:

.17 i think

Step-by-step explanation:

i honeslty dont know

This is an example of a study design that is commonly used in epidemiology called a randomized controlled trial (RCT).

In this particular study, epidemiologists were interested in investigating the effect of sunscreens on sunburns. To do so, they designed an RCT and randomly allocated 230 people to the treatment group (sunscreens) and 230 to the control group (placebo). This random allocation helps to ensure that both groups are similar in terms of potential confounding factors, such as skin type or time spent in the sun.

The investigators then exposed both groups to the high mountain trail on a sunny day and observed the incidence of sunburns. At the end of the study, they found that 30 people developed sunburns in the sunscreen group and 130 people developed sunburns in the placebo group. This result suggests that using sunscreen may be effective in preventing sunburns.

Overall, this study design allowed epidemiologists to investigate the association between sunscreens and sunburns while minimizing potential sources of bias and confounding factors.

By randomly allocating participants to treatment and control groups, they were able to ensure that any observed differences in sunburn incidence between the two groups were due to the intervention being studied (i.e., sunscreen use) rather than other factors.

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