Which statements are true about the dollhouses? Select three options.
The space inside dollhouse 1 can be found using the equation V = 6 (6) (5) + one-half (6) (6) (4).
The space inside dollhouse 1 can be found using the equation V = 6 (6) (5) + one-third (6) (6) (4).
The space inside dollhouse 2 can be found using the equation V = 6 (6) (5) + one-half (6) (6) (4).
The space inside dollhouse 2 can be found using the equation V = 6 (6) (5) + one-third (6) (6) (4).
The space inside dollhouse 1 is 24 inches cubed greater than the space inside dollhouse 2.

Answers

Answer 1

The statements that are true about the dollhouses is: 1,4,5.

True statement about dollhouse

The space inside dollhouse 1 can be found using the equation V = 6 (6) (5) + one-half (6) (6) (4).

Space inside dollhouse 1:

V = 6 (6) (5) + 1/2 (6) (6) (4)

V=180+72

V=252 inches

The space inside dollhouse 2 can be found using the equation

V = 6 (6) (5) + 1/3 (6) (6) (4)

V=180+48

V=228

The space inside dollhouse 1 is 24 inches cubed greater than the space inside dollhouse 2.

V1=252

V2=228

Hence:

252-228=24 inches cubed

V1 ≥V2

Therefore the statements that are true about the dollhouses is: 1,4,5.

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Related Questions

Hailey created her own cleaning service and uses the equation t = 20n + 15 to represent her total earnings, t, for each job. If she earned a total of $80, how many hours, n, did she work?

Answers

Step-by-step explanation:

t = 20n + 15

t = 80

80 = 20n + 15

65 = 20n

n = 65/20 = 13/4 = 3.25 hours

Select the value of each expression.
33.6
[4 x (4 + 3)]- 3
[(7-5)+ =] × 2
2
x
(5.4 + 3) x (62)
[9 ÷ 3 + 6] x 3
25
0
27
[
[
[

Answers

Answer:

the answer is [9÷3+6]×

Step-by-step explanation:

the Answer is [9÷3+6]×3 =25

What is the slope of the line that passes through the points (1, 3) and (5, -2)?

Answers

Answer:

slope = -5/4

Step-by-step explanation:

Because you have been given two points, you can use point-slope formula to find the slope. In the equation, "m" is the slope.

1st Point: (1,3)

2nd Point: (5, -2)

y₁ - y₂ = m(x₁ - x₂)                    <----- Point-Slope Equation

3 - (-2) = m(1 - 5)                       <----- Plug "x" and "y" values into equation

5 = m(-4)                                   <----- Combine like terms

-5/4 = m                                    <----- Divide both sides by -4

Mark purchased a 12-pack of soda for
$5.86. What is the unit rate per soda?
(Round to the nearest cent!)

Answers

Answer:

  $0.49 per soda

Step-by-step explanation:

The cost per soda is found by dividing the cost by the number of sodas.

__

  $5.86/(12 sodas) = $0.48833.../soda ≈ $0.49/soda

The unit rate is $0.49 per soda.

What are the coordinates of the point on the directed line segment from (−1,−6) to (8,-3) that partitions the segment into a ratio of 1 to 2?

Answers

The coordinates of the point on the directed line segment is (5,-4)

What is a line segment?

A line segment is a line drawn to join two given points on the cartesian plane.

Analysis:

x coordinate = MX1 + NY1/M + N

y coordinate = MY1 + NY1/ M+N

where M and N are the ratio of division

x = 1(-1) + 2(8)/1+2 = 15/3 = 5

y = 1(-6) + 2(-3)/1+2 = -12/3 = -4

(5,-4)

In conclusion, the coordinates are (5,-4)

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(Need help answering these questions… please don’t give me links in the comments, because it doesn’t help me. Answer it in comments please. )



A bucket holds 5 gallons of water and a barrel holds 8.4 buckets of water.

a. What is the conversion factor to change gallons to buckets?

b. What is the conversion factor to change buckets to barrels?

c. A gallon (gal) of water is equivalent to 128 fluid ounces (fl oz). How many fl oz of water are in 1 barrel?

Answers

Answer:

a) 1/5 bucket = 1 gallon

b) 8.4 buckets = 1 barrel

c) 5376 fl oz per barrel

Step-by-step explanation:

a) From the given information, 1 bucket = 5 gallons. This means 1/5 of a bucket is 1 gallon.

b) From the given information, 8.4 buckets = 1 barrel. This seems to be in the form that the question is asking for. If the question was asking how many barrels were in a bucket the answer would be 1/8.4 barrels = 1 bucket.

c) From the previously determined conversion factors, we can take ounces to barrels by converting barrels down to gallons.

1/8.4 barrels = 1 bucket; 1/5 bucket = 1 gallon; 1 gallon = 128 fluid ounces

We need to set up a series of fractions that use these factors:

[tex]\frac{128 fl oz}{1 gallon}*\frac{1 gallon}{1/5 buckets}*\frac{1 bucket}{1/8.4 barrels}[/tex]

These fractions can be simplified to [tex]\frac{128 fl oz}{1 gallon}*\frac{5 gallon}{1 bucket}*\frac{8.4 buckets}{1 barrel}[/tex]

Multiply the fractions: 5376 fl oz per barrel

(Note that the units cancel out in the fractions so that only fluid ounces per barrel are left.)

Collect info on minimum and maximum temperature if 7 consecutive days in creative manner

Answers

you could use a thermometer on a pets fur if it was outside or measure the amount of air in a ball since air is heated it expands there for making the ball have more air? it’s a long shot but i would just go for the first idea to be honest

Solve for x to the nearest tenth of centimetre

Answers

Answer:

Step-by-step explanation:

Question 5 ? Question What does the x-intercept of this relationship represent? O the initial amount of plant food the length of time it takes for Ryan to use all the plant food O the amount of plant food used each day O the length of time it takes for the height of the plant to reach 72 centimeters​

Answers

Answer:

O the amount of plant food used each day

Step-by-step explanation:

O the initial amount of plant food the length of time it takes for Ryan to use all the plant food is the y-intercept therefore wrong.

O the length of time it takes for the height of the plant to reach 72 centimeters​

$20.000 deposit earning 3.5% compounded monthly,after 10 years

Answers

Answer:

A = $28,338.18 after 10 yrs

Step-by-step explanation:

hope this helps

hope you can understand

Cara leaves her house at 10:03 and arrives at the library at 10:17.

Irena leaves her house at 11:55 and arrives at the library at 12:06.

Who takes longer to get to the library? How many minutes longer?


Choose...
takes longer. She takes
Choose...
minutes longer.

Answers

Answer:  Cara takes longer

Step-by-step explanation:

cara takes 14 minutes

irena takes 11

Answer:

cara takes longer by 14 minutes than Irena who takes 11 minutes

How many whole numbers are there between 32 and 96?

Answers

Answer:

there are 20 while numbers between 32 and 96

Step-by-step explanation:

hope it helps and give me a brainliest

The number of whole numbers that come between 32 and 96 will be 64.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The number of whole numbers that come between 32 and 96 is given as,

⇒ 96 - 32

⇒ 64

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what is the type of rule in which you can find any number of term in sequence without knowing the first or previous term

Answers

The type of rule that can be used to find any number of terms in sequence without knowing the previous term is called the Explicit rule formula.

What is the Explicit rule formula?

The formula that determines the sequence's nth term is the explicit rule of an arithmetic sequence.

Using explicit formulae, one can compute any term in a series without first determining the value of the terms that came before it.

Therefore, we can conclude that the type of rule that can be used to find any number of terms in sequence without knowing the previous term is called the Explicit rule formula.

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Emily completed reading 24/3 books in 32/4 days. Find the number of books she would have completed in one day.

Answers

The number of books she would have completed in one day will be 2 books.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

Emily completed reading 24/3 books in 32/4 days

Emily completed 8 books in 4 days. The number of the books will be calculated by using the expression below:-

4 days = 8 books

1 day = 8 / 4 = 2 books

Therefore the number of books she would have completed in one day will be 2 books.

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Help will give brainly! :)

Answers

Answer:

4x²y² and 16x⁴y⁶

Step-by-step explanation:

How do I evaluate this double integral

Answers

Convert to polar coordinates with

[tex]x = r \cos(\theta)[/tex]

[tex]y = r \sin(\theta)[/tex]

so that [tex]x^2 + y^2 = r^2[/tex], and the Jacobian determinant for this change of variables is

[tex]dx\,dy = r \, dr \, d\theta[/tex]

D is the disk centered at the origin with radius 2; in polar coordinates, this is the set

[tex]D = \left\{(r, \theta) \mid 0\le\theta\le2\pi \text{ and } 0 \le r \le 2\right\}[/tex]

Then the integral is

[tex]\displaystyle \iint_D (x + y + 10) \, dx \, dy = \int_0^{2\pi} \int_0^2 (r \cos(\theta) + r \sin(\theta) + 10) r \, dr \, d\theta[/tex]

[tex]\displaystyle = \int_0^{2\pi} \int_0^2 (r^2 \cos(\theta) + r^2 \sin(\theta) + 10r) \, dr \, d\theta[/tex]

[tex]\displaystyle = \int_0^{2\pi} \left(\frac83 (\cos(\theta) + \sin(\theta)) + 20\right) \, d\theta[/tex]

[tex]\displaystyle = 20 \int_0^{2\pi} d\theta = \boxed{40\pi}[/tex]

(since cos and sin are 2π-periodic)

Select the correct answer.
Over which interval of the domain is function h decreasing?
25?

Answers

Answer:

the function is only increasing.

Step-by-step explanation:

Dylan bought seven candy bars for $10.50. How much did he pay for each candy bar?

Answers

Answer: 1.5 or 1 1/2

Step-by-step explanation:

He payed $1.50 for each candy bar

Yolanda saves all the money from a regular baby-sitting job. The money in her savings account is increasing according to the equation y = 6x + 50, where x = number of hours worked and y = savings in dollars. Which table of values matches this equation?

Answers

Answer:

Table D

Step-by-step explanation:

I have all of the tables listed below and the correct one circled! I used to tutor my cousin about this topic!

I hope this helps and please feel free to comment, ask questions, give feedback, and correct me if I am wrong!

Have a great day!

:)

The 4th table in the option is the correct one.

What is an equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Yolanda saves all the money from a regular baby-sitting job. The money in her savings account is increasing according to the equation y = 6x + 50, where x = number of hours worked and y = savings in dollars.

The given equation is y = 6x + 50

Put x = 0

y = 50

Put x = 5

y = 80

Put x = 10

y = 110

Put x = 15

y = 140

Creating the table,

                 x                                                                 y

                 0                                                                50

                 5                                                                80

                 10                                                               110

                 15                                                               140

Hence, we get the table.

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Find the volume of the prism.
8in. 5in. 5in

Answers

200, 8 x 5 x 5

because volume of prism = area of base x height

Pleaseeee helppppp!!!!!!!!!

Answers

Answer:

107 degree

Step-by-step explanation:

interior angle sum of a hexagon is 720,

using S = (n - 2)*180

which is S =(4)*180

720-118-111-124-115-145=107

107° because the angles of a 6 sided shape add up to 720° so just add all the other angles and then subtract from 720

PLEASE HELP! i need done ASAP.

Answers

Answer:

m<A = 120

m<BCD = 120

m<DEC = 30

m<BFE = 90

Step-by-step explanation:

m<A is 120 cause all internal angles equal 720 added together in hexagons. 720 ÷ 6 = 120

m<BCD is 120 cause regular hexagons have eqaul angles

m<DEC is 0 cause total of the angle of triangle of triangle EDC is 180 where m<D = 120 which leaves m<E + m<C = 60 since they are equal we can combine them to m<E • 2 = 60. Divide and we get 30

m<BFE =  90 cause m<AFB = 30 and m<AFE = 120 subtract 120 and 30 to get 90

Write the equation in standard form for the circle with center (9,0) and radius 3
15.

Answers

(x-9)^2 + y^2 = 3^2 (or 9)

A sector with an area of \goldE{54\pi\,\text{cm}^2}54πcm
2
start color #a75a05, 54, pi, start text, c, m, end text, squared, end color #a75a05 has a radius of \maroonD{9\,\text{cm}}9cmstart color #ca337c, 9, start text, c, m, end text, end color #ca337c.
What is the central angle measure of the sector in radians?

Answers

The central angle measure of the sector is 4.19 rad.

Area of a Sector

You need apply the formula: [tex]A= r^2*\frac{\alpha}{2}[/tex]  for finding the area of the sector, in radians. In this formula, the variables are:

r= radius

[tex]\alpha[/tex]= central angle

The question gives:

A=54[tex]\pi[/tex] cm²

r= radius= 9cm

Thus, the central angle will be:

[tex]A= r^2*\frac{\alpha}{2}\\ \\ 54\pi =81*\frac{\alpha }{2} \\ \\ 1.33333\pi =\alpha[/tex]

For [tex]\pi[/tex]=3.14159..., you have :

[tex]\alpha=4.19\; rad[/tex]

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Answer:

4pi/3

Step-by-step explanation:

Find the area of each triangle.

Answers

Answer:

a)  30 square units

b)  36 square units

c)  18 square units

Step-by-step explanation:

Area of a triangle = 1/2 × base × height

Part (a)

Base = 10

Height = 6

⇒ Area = 1/2 × base × height

            = 1/2 × 10 × 6

            = 30 units²

Part (b)Base = 12Height = 6

⇒ Area = 1/2 × base × height

            = 1/2 × 12 × 6

            = 36 units²

Part (c)Base = 6Height = 6

⇒ Area = 1/2 × base × height

            = 1/2 × 6 × 6

            = 18 units²

For each of the number lines, write an absolute value equation in the form |x - c |=d,
where c and d are some numbers, to satisfy the given solution set.

Answers

The absolute value equation that satisfy the solution set of -4 and -8 is |2 - x| = -6

How to determine the absolute value equation?

The solution sets on the number line are given as:

x = {-8, -4}

Calculate the average of the solutions

Mean = (-8 - 4)/2

Mean = -6

Calculate the difference of the solutions divided by 2

Difference  = (-4 + 8)/2

Difference = 2

The absolute value equation is the represented as:

|Difference - x | = Mean

Substitute known values

|2 - x| = -6

Hence, the absolute value equation is |2 - x| = -6

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Answer:

|b+6|=2

Step-by-step explanation:

sally has 10 pounds she wants to buy 28 cans of soda which cost 26p each. how much money does she spend and does she have enough

Answers

Answer:

she will need 728 pounds to buy 28 cans but she only has 10 pounds so she doesn't even have enough for 1 can of soda

Which of the following is used only in non-Euclidean geometry?
A.
triangle
B.
circle
C.
great circle
D.
line

Answers

Answer:c

Step-by-step explanation:none of these are good answers as they can all exist in flat Euclidean space. The best answer is c because a great circle exists in spherical (non-flat) geometry . However it’s not really correct to say you could never describe a great circle in Euclidean space and whoever wrote this question (not you, the original author of the question) deserves to bite their tongue on their dinner tonight

Is this rational or irrational?

Answers

Answer:

Irrational.

Step by step explanation:

[tex]\sqrt 6 + \dfrac{2}{3}\\\\\\=\dfrac{3\sqrt 6 +2}{3}\\\\\text{The sum of the these two numbers cannot be expressed as the the ratio of two integers,}\\\\\text{So the sum is not rational.}[/tex]

A roller coaster’s height is given by the equation h = –.086t^2 + 6t + 50, where t represents the time in seconds. How long will it take riders to pass over the hill and reach ground level? hint: Set h = 0.

34.88 seconds
50.00 seconds
50.17 seconds
77.29 seconds

Answers

The time it will take the ride to reach the floor is  77.29 seconds

Quadratic equations

These are equations that has a leading  degree of 2.

Given the function that represents the height of the roller coaster

h(t) = –0.086t^2 + 6t + 50,

At the ground level, h = 0

Substitute

h(t) = –0.086t^2 + 6t + 50,

–0.086t^2 + 6t + 50 = 0

0.086t^2 - 6t - 50 = 0

Factorize

On factorizing, the time it will take the ride to reach the floor is  77.29 seconds

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Answer:

D)  t = 77.29 seconds

Step-by-step explanation:

The height of the rollercoaster at ground level is zero.

Therefore, to find how long it will take riders to pass over the hill and reach ground level, set h = 0 and solve for t.

Set the equation equal to zero:

[tex]-0.086t^2 + 6t + 50=0[/tex]

Solve the equation using the quadratic formula.  

What is the quadratic formula?

The quadratic formula is a formula that can be used to find the solutions of any quadratic equation, which is an equation of the form ax²+bx+c=0, where a, b, and c are constants and x is the variable.

[tex]\boxed{x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}}[/tex]

In this case:

a = -0.086b = 6c = 50

Substitute these values into the quadratic formula and solve for t:

[tex]t=\dfrac{-6 \pm \sqrt{6^2-4(-0.086)(50)}}{2(-0.086)}[/tex]

[tex]t=\dfrac{-6 \pm \sqrt{36+17.2}}{-0.172}[/tex]

[tex]t=\dfrac{6 \pm \sqrt{53.2}}{0.172}[/tex]

[tex]t=-7.52228495..., \;\; 77.2897268...[/tex]

As time is positive only, t = 77.29 seconds (2 decimal places).

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