What is the value of x if the side length of Terrarium A is four times the side length of Terrarium B?

Answers

Answer 1

The value of x if the side length of Terrarium A is four times the side length of Terrarium B is 3.6

Since we are both given the required length, we can assume the side length of Terrarium A and B and solve it in a general way.

Let;

Side length of Terrarium A = x - 6Side length of Terrarium B = x + 3

If the side length of Terrarium A is four times the side length of Terrarium B, then;

x - 6 = 4(x + 3)

x - 6 = 4x + 12

x + 4x = 12 + 6

5x = 18

x = 3.6

Hence the value of x if the side length of Terrarium A is four times the side length of Terrarium B is 3.6

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Related Questions

Among 2165 passenger cars in a particular​ region, 235 had only rear license plates. Among 330 commercial​ trucks, 50 had only rear license plates. A reasonable hypothesis is that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars. Use a 0.10 significance level. Identify the P-value. Let population 1 correspond to the passenger cars and population 2 correspond to the commercial trucks. Let a success be a vehicle that only has a rear license plate Group of answer choices

Answers

Using the z-distribution, it is found that the p-value is of 0.0192.

At the null hypothesis, it is tested if commercial trucks owners do not violate laws requiring front license plates at a higher rate than owners of passenger cars, that is, the subtraction is of at most 0, hence:

[tex]H_0: p_2 - p_1 \leq 0[/tex]

At the alternative hypothesis, it is tested if commercial truck owners violate the laws more, that is, the subtraction is positive, hence:

[tex]H_1: p_2 - p_1 > 0[/tex]

For each sample, the size, the proportion and the standard error are given by:

[tex]n_1 = 2165, p_1 = \frac{235}{2165} = 0.1085, s_1 = \sqrt{\frac{0.1085(0.8915)}{2165}} = 0.0067[/tex]

[tex]n_2 = 330, p_1 = \frac{50}{330} = 0.1515, s_1 = \sqrt{\frac{0.1515(0.8485)}{330}} = 0.0197[/tex]

For the distribution of differences, the mean and the standard error are given by:

[tex]\overline{p} = p_2 - p_1 = 0.1515 - 0.1085 = 0.043[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0067^2 + 0.0197^2} = 0.0208[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

In which [tex]p = 0[/tex] is the value tested at the null hypothesis.

Hence:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

[tex]z = \frac{0.043 - 0}{0.0208}[/tex]

[tex]z = 2.07[/tex]

The p-value is found using a z-distribution calculator, for a right-tailed test, as we are testing if the proportion is more than a value, with z = 2.07.

Using the calculator, the p-value is of 0.0192.

A similar problem is given at https://brainly.com/question/15545277

Hey, I just have one question, what is 8y −5 < 3?

Answers

Answer:

y < 1

Step-by-step explanation:

In order to solve this inequality, we must isolate the y variable.

First add 5 on both sides of the inequality sign:

Now you have 8y < 8.

Then divide by 8 on both sides, to get y alone:

Now you have y < 1.

Hope this helps you :)

Write five other iterated integrals that are equal to the given iterated integral. 8 0 x2 0 y f(x, y, z) dz dy dx 0

Answers

An iterated integral is the outcome of taking integrals toward a function of more than one variable in such a way that part of the variables is treated as constants for each of the integrals.

From the given parameters, we are to write out five iterations for a triple integral;

[tex]\mathbf{\int ^8_0\ \int^{x^2}_{0} \ \int^y_0 \ \ f(x, y, z) \ dz dy dx }[/tex]

where;

the region is bounded by 0 ≤ z ≤ y, 0 ≤ y ≤ x², 0 ≤ x ≤ 8.

Thus, since x, y, z are functions of at least one variable, we can have the following iterations:

[tex]\mathbf{\int^{64}_{0} \ \int^{8}_{\sqrt{y}} \ \int^{y}_{0} \ \ f(x,y,z) dz dxdy}[/tex]

[tex]\mathbf{\int^{64}_{0} \ \int^{y}_{0} \ \int^{8}_{\sqrt{y}} \ \ f(x,y,z)\ dxdzdy}[/tex]  

[tex]\mathbf{\int^{64}_{0} \ \int^{64}_{z} \ \int^{8}_{\sqrt{y}} \ \ f(x,y,z)\ dxdydz}[/tex]

[tex]\mathbf{\int^{8}_{0} \ \int^{x^2}_{0} \ \int^{x^2}_{z} \ \ f(x,y,z)\ dydzdx}[/tex]  

[tex]\mathbf{\int^{64}_{0} \ \int^{8}_{\sqrt{z}} \ \int^{x^2}_{z} \ \ f(x,y,z)\ dydxdz}[/tex]  

Learn more about iterated integrals here:

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Consider the equation of a circle x^2-2x+y^2-4y-4=0. If the line 2x-y+a=0 is its diameter. Then find the value of a.

Answers

Answer:

a=0

Step-by-step explanation:

x²-2x+y²-4y-4=0

(x²-2x+1)+(y²-4y+4)-9=0

(x-1)² + (y-2)² = 3²

Center: (1,2)     radius: 3

(1,2) on line 2x-y+a=0

2*1 - 2 + a = 0

a = 0

Ignore blue circles pls help guys!!

Answers

Answer:

y = 40 , 32 , 56 , -32 , -72

Step-by-step explanation:

Plug your x into your equation for the answer.

Brainliest would be appreciated. :-)

On a​ team, 4 girls and 3 boys scored a total of 57 points. The difference between the number of points scored by the 4 girls and the number of points scored by the 3 boys is 15. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each boy.

Each girl scored (BLANK) points.

Answers

Answer:

Each girl scores 8 points while each boy scores 4 points

Step-by-step explanation:

Let the number of point scored by the 7 girls and 2 boys be x and y respectively.

Thus, since 7 girls and 2 boys scored a total of 64 points, then;

7x + 2y = 64 - - - (1)

Also, difference between the number of points scored by the 7 girls and the number of points scored by the 2 boys is 48. Thus;

7x - 2y = 48 - - - (2)

Add eq(1) to (eq 2) to get;

14x = 64 + 48

14x = 112

x = 112/14

x = 8

Put 8 for x in eq(1) to get;

7(8) + 2y = 64

56 + 2y = 64

2y = 64 - 56

2y = 8

y = 8/2

y = 4

Thus,each girl scores 8 points while each boy scores 4 points

hope this helps .

Mark’s birthday is 32 weeks away. How many days until his birthday?

Answers

There are 7 days in one week
So multiply 32 by 7

32*7 =224 days

13*100 i am tired rn

Answers

Answer: 1300

Step-by-step explanation:

13*10 = 130*10=1300

Answer:

1300

Step-by-step explanation:

same bro I getting paid from doing people homework

What is the area of a parallelogram with base 40 mm and height 18 mm?

Answers

Answer:

  720 mm²

Step-by-step explanation:

The area of a parallelogram is given by the formula ...

  A = bh

For the given base and height, the area is ...

  A = (40 mm)(18 mm) = 720 mm²

does y vary directly with x? if it does write an equation for the direct variation.

Answers

Answer:

No it does not

Step-by-step explanation:

Two points simplify to 1/6 whilst the other, 1/5

Would I use subtraction for this problem ?

Answers

Answer:

Tim has 224 blue marbles.

Step-by-step explanation:

32 × 7 = 224

He has 7 times as many as Malanie (32)

I hope this helps!!!!

If the Ending Inventory increases and everything else remains the same, what happens to the Food Cost? ​

Answers

An increase in the ending inventory will cause the cost of food sold at the end of the year to appear lower that it really is.

The cost of goods ( example, food) is directly affected by the amount of inventory at the end of an account period.

If the ending Inventory increases and everything else remains the same, the cost of goods sold is calculated as follows;

cost of food sold = Benning inventory  +  purchases  - ending inventory

From the equation above, an increase in the ending inventory will cause the cost of food sold at the end of the year to appear lower that it really is.

Learn more about ending inventory here: https://brainly.com/question/24868116

Hailey collected 215 cans and 475 newspapers for recycling. Each can weighs 15 grams. What is the total weight of the cans that Hailey collected?

? x 15 =?

Answers

Answer:

3225 grams

Step-by-step explanation:

215 x 15

If Y varies directly as x and y= 49 when x= 40, find y if x =34

Answers

Answer:

y = 41.65

Step-by-step explanation:

Given y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 49 when x = 40

49 = 40k ( divide both sides by 40 )

[tex]\frac{49}{40}[/tex] = k = 1.225

y = 1.225x ← equation of variation

When x = 34 , then

y = 1.225 × 34 = 41.65

Simplify the expression.

−6−7

Answers

Answer:

-13

Step-by-step explanation:

subtract 7 from -6

Answer: -13

Step-by-step explanation: When you have two numbers with negative signs, you add them but you keep the negative sign.

Therefore, -6-7 = -13

For the future, know these rules for signs when adding, subtracting, dividing and multiplying:

When adding two negative numbers, you add but keep the negative sign like in the above problem.

When adding a positive and negative, you subtract but keep the sign of the highest number. Example: -4+9 = 5 or -11+3 = -8.

When multiplying two negatives or positives numbers, the answer will be positive. When multiplying negatives x positive = negative.

The same applies to division. (-)/(+) = (-) or (+)/(-) = (-)

                                                 (-)/(-) = (+)

Hope this explanation and rules help.

Plot 1[tex]\frac{2}{5}[/tex] −12, and −2[tex]\frac{1}{10}[/tex] on the number line.

Answers

Answer:

1st= 2.4 on the line

2nd= -0.5 on the line

3rd=2.1 on the line

Step-by-step explanation:

1st=because each line represents 1 part so if it is split into 5 you have to treat 2 lines as one

2nd 1/2=0.5 so -1/2= -0.5

3rd if one line is one part then it is 2.1

4/k =8/3 ​ what is k?

Answers

Answer:

1.5

Step-by-step explanation:

4 x 2 = 8, so k x 2 = 3

3 / 2 = 1.5

Salt water gargle can temporarily relieve a sore throat. One recipe calls for 3/4 teaspoon of salt in 1 cup of water. A second recipe calls for 1 teaspoon of salt in 2 cups of water. Which recipe will taste saltier?

Answers

Answer:

The first recipe - 3/4 tsp of salt in 1 cup of water

Step-by-step explanation:

1st recipe Salt per cup = 3/4 tsp / 1 cup = 3/4 tsp salt

2nd recipe Salt per cup = 1 tsp / 2 cups = 1/2 tsp salt

3/4 tsp > 1/2 tsp, hence the first recipe is saltier

Solve for g. Make sure to use scrap paper to show your work.

( 144 + 6 x 8 ) ÷ 3 = g

192
64
48

Answers

the answer is 64 multiplication can be done with calculator or normal

1. A store in Grand Rapids, Michigan, advertised a side-by-side

refrigerator for $1,699.99.

a. What is the sales tax if the combined state and city rate is 6%?

b. What is the total purchase price?

Answers

The store  Grand Rapids in Michigan placed and advert for a refrigerator for $1,699.99, also the tax rate is 6%.

Total cost = Tax + cost of refrigerator

$2719.984

Solution

let us find 6% of $1,699.99, this will be the amount paid as tax

Tax = 6/100*$1,699.99

Tax = 0.6*1,699.99

Tax = $1019.994

Now let us find the total amount paid for the refrigerator

This will be the cost of the refrigerator plus the Tax paid

Total = 1,699.99+1019.994

Total = $2719.984

Learn more about Tax here

https://brainly.com/question/25783927

did I click the right one ?

Answers

Answer:

no its b

Step-by-step explanation:

Answer:

yup

Step-by-step explanation:

Help me plz NO LINKS

Thanks.

Answers

Answer:

2nd answer choice

Step-by-step explanation:

We want to know which one does not have a two digit quotient, or answer. Let us use guess and check since there are only 4 options.

Option 1:

519/6=86 R3

This answer is wrong because it has a two digit quotient

Option 2:

915/7=130 R5

This answer is correct since it has a three digit quotient, but let's find the rest

Option 3:

439/7=62 R5

This answer is wrong because it has a two digit quotient

Option 4:

812/9=90 R2

This answer is wrong because it has a two digit quotient

Therefore option 2 is correct

I will like to know what you need help with?


At a movie theater, 360 people can see a particular movie over a period of 3 hours. At this
rate, how many people can see this movie over a period of 12 hours? (1 point)
A. 1,080
B. 1,440
C. 3,240
D. 4,320

Answers

Answer:

B. 1,440

Step-by-step explanation:

Answer:

Step-by-step explanation:

think about it how many groups can see the movie in 12 hours. that would be 4, now multiply 360 people by 4. if you do it right you answer should be 1440.(hope this helps :)   )

Solve 3 - x= -9.
O A. x= 6
O B. x= 12
O c. x= -6
O D. x=-12

Answers

Answer:

x=12

Step-by-step explanation:

you need the x alone so you substract 3 from both sides.

Then you have, -x= -12

You need the x positive so you change the sign for it but as it is an equation you need to do the same thing on the other side, making both sides positive.

x=12

The answer is B. 3 - x = -9
-x + 3 = -9
Subtract 3 from both sides of the equation. Simplify

Identify the focus and directrix of the parabola represented by the equation (y-2)^2= 24 (x-5)

Answers

Answer: Directix= -1

Focus (11, 2)

Step-by-step explanation:

The answer Is 1
Explanation it’s 1

Add: (g2 – 4g4 + 5g + 9) + (–3g3 + 3g2 – 6)

Answers

Step-by-step explanation:

you can always combine terms with the same base term and exponent.

I always recommend to sort the different categories and sequence them, with the highest exponent first.

(g² - 4g⁴ + 5g + 9) + (-3g³ + 3g² - 6)

-4g⁴ + g² + 5g + 9 - 3g³ + 3g² - 6

-4g⁴ - 3g³ + 4g² + 5g + 3

I always compare this with a merger of two galaxies. there are just a few actual collisions and mergers of individual star systems and bodies. mostly the different bodies just mix together into a new, larger galaxy.

Simplify: -6(x + 4) ​

Answers

Answer:

A) -10x - 24

Step-by-step explanation:

1. To simplify this expression, we apply the distributive property.

[tex](-6)(\frac{5}{3}x)+(-6)(4)[/tex] [tex]\frac{-30}{3}x-24[/tex] [tex]-10x - 24[/tex]

Therefore, the answer is A) -10x - 24.

Answer:

A) -10x-24

Step-by-step explanation:

[tex]-6(\frac{5}{3} x+4)=-6\times\frac{5}{3} x+4\times(-6)=-10x-24[/tex]

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

If the cubic function P(x) includes the points (−4, 0), (0, 0), and (2, 0), which of the following represents this function?

Answers

Answer:

See below

Step-by-step explanation:

(-4,0) is the solution to x+4=0

(0,0) is the solution to x=0

(2,0) is the solution to x-2=0

Therefore, (x+4)(x-2)(x) = (x²-2x+4x-8)(x) = (x²+2x-8)(x) = x³+2x²-8x is the function that has the given zeroes

Which set of data has a mean of 11 and a mode of 7?
A. 7, 8, 22, 7, 11
B. 3, 5 , 7, 7, 11, 15
C. 2, 5, 7, 11, 23, 18

Answers

A. Has the mean of 11
B has the mode of 7

Answer:

its a.

Step-by-step explanation:

SOMEONE HELP ME PLEASE <3

Answers

Answer:

A.90

Step-by-step explanation:

thank me later

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