A rectangular container with a base of 24 inches by 15 inches is 1/3 filled with water. If all the water is poured into an empty rectangular container measuring 12 inches by 18 inches by 10 inches, it will fill the second container to its brim. What is the height of the first container?

Answers

Answer 1

Answer:

18 inches

Step-by-step explanation:

volume of a cuboid = length x breadth x height

the following equation can be derived from the question

let h = unknown height

1/3(24 x 15 x h) = (12 x 18 x 10)

Multiply both sides of the equation by 3

(24 x 15 x h) = (12 x 18 x 10) x 3

Divide both sides of the equation by (24 x 15)

h = 18 inches


Related Questions

What is the shape of the graph of the function?
h(t)=0.6⋅3.2^t

Answers

Answer:

A

Step-by-step explanation:

Here the base (3.2) is greater than 1 and the exponent (t) is positive.  Thus the graph will have shape A.

The correct graph for the given function h(t)=0.6×[tex]3.2^{t}[/tex] will be upward increasing so option (A) will be correct.

How to plot a graph?

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

In order to plot the graph, we need to find out y's values corresponding to x's value

After that, we need to substitute the values of x's and y's into the coordinate geometry.

Given function is  h(t)=0.6×[tex]3.2^{t}[/tex]

As t is increasing then the term [tex]3.2^{t}[/tex]  will also go to increase since 3.2 is greater than 1.

Hence the value of the graph will go to increase as x increases so it is clear that option (A) will be correct.

For more information about the graph of a function

brainly.com/question/27757761

#SPJ2

Need to know asap!!
Expand and simplify:
6(3j – 2) - 4(2j + 4)​

Answers

18j - 12 - 8j - 16
10j - 28

I need some help with the his please help out

Answers

Answer:

Sylvia is the tallest.

Step-by-step explanation:

Answer:

Maria

Step-by-step explanation:

Sylvia = 4*12 + 3 = 48 + 3 = 51 inches

Maria = 59 inches

59 > 51 inches

There are 520 employess at greenville publishing. Jasmine surveys a representative sample of employees on their transportation costs each month. The reults are shown in the box plot.

Answers

Answer:

130 ; 50% ; 25%

Step-by-step explanation:

Using te boxplot to answer the underlying questions :

Number of employees who spend $10 or less corresponds to the lower quartile, which is up to 25% of the distribution :

Total number of employees = 520

Number of employees who spend $10 or less = 25% of 520 = 0.25 * 520 = 130 employees.

Percentage of employees who spend from $10 to $45 = Interquartile range

$10 corresponds to lower quartile = 25%

$45 corresponds to upper quartile = 75%

IQR  = 75% - 25% = 50%

Percentage who spend $45 or more

$45 corresponds to the upper QUARTILE (Q3) :

45 or more = 100% - Q3 = 100% - 75% = 25%

Somebody please help it would be much appreciated.

Answers

Answer:

25

Step-by-step explanation:

as you can see test a is further away from the ruler you have to put it at 0 so that you can get your answer I am not sure if it's correct or not

Answer:

Step-by-step explanation:

Problem Set
1. A 5-liter cleaning solution contains 30% bleach. A 3-liter cleaning solution contains 50%
bleach. What percent of bleach is obtained by putting the two mixtures together?

Answers

5 liters (L) of 30% bleach solution contains 0.3×(5 L) = 1.5 L of bleach.

3 L of 50% bleach contains 0.5×(3 L) = 1.5 L of bleach, too.

Combined, you would have 8 L of solution containing 1.5 L + 1.5 L = 3 L of bleach, so the concentration of bleach is

(3 L) / (8 L) = 0.375 = 37.5%

Find the missing side. Round to the nearest tenth.

Answers

Step-by-step explanation:

sin x = 12/16 = 0.75

x = arc sin 0.75 = 48.6°

cos x = 36/40 = 0.90

x= arc cos 0.90 = 25.8°

cos x = 10/15 = 0.6667

x= arc cos 0.6667 = 48.2°

tan x = 30/18 = 1.6667

x = arc tan 1.6667 = 59.0°

Gabriel deposits $400 into a
savings account in January
If he deposits 5% more each
month, what is the amount,
to the nearest dollar, of his
December deposit?

Answers

Answer:

640

Step-by-step explanation:

5% of 400 is 20

20 x 12 is 240

400 + 240 = 640

Forgive me if I'm wrong. I suck at math XD

The amount for the month of December is $640.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Gabriel deposits $400 into a savings account in January If he deposits 5% more each month.

The December month deposit is calculated as,

5% of 400 is 20

20 x 12 is 240

400 + 240 = $640

Therefore, the amount for the month of December is $640.

To know more about an expression follow

https://brainly.com/question/22071628

#SPJ2

Condense (cos92°)(cos133°)-(sin92°)(sin133°) into a singular trigonometric function expression, then find the exact value.

Answers

Answer:

-1/√2  

Step-by-step explanation:

According to trigonometry identity

cos(A+B) = cosAcosB - sinA sinB

Given the expression

(cos92°)(cos133°)-(sin92°)(sin133°)

This can be expressed as cos(92+133) where A = 92, B = 133

(cos92°)(cos133°)-(sin92°)(sin133°)

= cos(92+133)

= cos225

= -0.7071

= -1/√2

Hence the exact value is  -1/√2  

Will get brainlyest!!!!!!! answer has to be in radical form if irrational

Answers

x = -1.9/2.1

x = -0.9047619048

As the number or the magnitude of x is a terminating decimal number so it is not irrational number its a rational number

Hope it helps

Pizza one has a diameter of 8in in cost $10 pizza to has a diameter of 14 in in cost $16 which is the better buy show your work​

Answers

Answer:

Pizza two

Step-by-step explanation:

Given data

Pizza one

Diameter =8in

Cost =$10

Unit price= 10/8= $1.25

Pizza two

Diameter =14in

Cost =$16

Unit price= 16/14= $1.14

The better buy is Pizza two

HELP ASAP!! HELP FAST!!

Answers

The perfect square is answer A

Help plz..And No links!! I repeat No links!!

Answers

Step-by-step explanation:

By Basic Proportionality Theorem, the triangles UTV and USR are similar.

Let us consider RV as x.

[tex]\tt{\dfrac{39}{26} = \dfrac{33}{x}}[/tex]

[tex]\rm{x = \dfrac{33 \times 26}{39}}[/tex]

[tex]\sf{ x = 22 }[/tex] is the required answer, after simplifying it.

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

Or if you want to prove it similar:-

In triangle UTV and USR,

Angle TUV = Angle SUR (common)

Angle UVT = Angle URS (Corresponding angles b/w parallel lines)

By AA similarity,

UTV =~ USR.

Hope it helps :)

A line segment 20cm long is divided into two parts so that one part is four times as long as the other parts. How long is each part​

Answers

Part 1 is 16cm and Part 2 is 4cm

4 x 4 = 16 this makes part 2 four times as long as part 1
16 + 4 = 20 this makes the whole line segment

If a vertical line intersect the graph at more than one point , the graph is a ?

Answers

Answer:

criminal. Because it doesnt follow the vertical line test, where every x values has one y value.

Step-by-step explanation:

Of the pizzas recently sold at Pizza Pies, 10 had pepperoni and 2 did not. Considering this data, how many of the next 6 pizzas sold would you expect to have pepperoni?

Answers

Answer:

1 pizza

Step-by-step explanation:

Of the pizzas recently sold at Pizza Pies, 10 had pepperoni and 2 did not.

This means, the total number of pizzas sold is

10 pepperoni + 2 pizzas without pepperoni = 12 pizzas

Hence, the number of 6 pizzas that would be sold without pepperoni is calculated as:

From the above question,

12 pizzas = 2 pizza without pepperoni

6 pizzas = x

Cross Multiply

12 pizzas × x = 6 Pizzas × 2 pizza without pepperoni

x = 6 Pizzas × 2 pizza without pepperoni/12 pizzas

x = 1 pizza without pepperoni

Therefore, 1 pizza would not have pepperoni out of 6 pizzas sold

Answer:

5

Step-by-step explanation:

The area of a rectangular classroom is 572 square feet.
If the width of the classroom is 22 feet, what is the
length?

Answers

Answer: 26 Feet

Hope this helps!

You rent an apartment that costs \$1000$1000 per month during the first year, but the rent is set to go up \$160$160 per year. What would be the monthly rent during the 10th year of living in the apartment?

Answers

Answer:$2440

Step-by-step explanation:

a10 = a1 + (n-1)d <--- arithmetic sequence formula

a10 = 1000 + 9(160)

a10 = 2440

the answer would be $193,960

Wanda uses 3.54 cups of flour to make 6 bagels. Eli uses 2.5 cups of flour to make 5 bagels. How much more flour per bagel is needed for Wanda's recipe?

Answers

Answer:

Wanda's recipe needs 0.09 more cups of flour per bagel.

Step-by-step explanation:

First, you have to find the amount flour that each of them need for one bagel by dividing the cups of flour they use by the number of bagels:

Wanda: 3.54/6= 0.59 cups of flour

Eli: 2.5/5=0.5 cups of flour

Now, you have to subtract the amount of flour Eli needs from the amount that Wanda needs:

0.59-0.5=0.09

According to thiss, the answer is that Wanda's recipe needs 0.09 more cups of flour per bagel.

What is the measure of b ????

Answers

Answer:

B=50

Step-by-step explanation:

THE TRINGLE IS 180 DEGREE (RULE)

(X+38)+(3X-12)+(2X-2)=180

6X=180-(38-12-2)

6X=156

X=26

B=2X-2

B=2(26)-2=52-2=50

Answer:

B=50

Step-by-step explanation:


[tex]31.3 \times 9.5[/tex]

Answers

Answer:

297.35

Step-by-step explanation:

[tex]\sf\purple{297.35}[/tex] ✅

Step-by-step explanation:

[tex]31.3 \times 9.5 = 297.35[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

correct answer marked brainliest

Answers

Answer:

a. 120

b. 336

Step-by-step explanation:

hope this helps:)

I need help and I really don’t wanna fail

Answers

Answer:

C

Step-by-step explanation:

If you plug the coordinate pairs in, C is the only one in which keeps both equations true.

Please help I’ll give brainlist

What are Three examples for linear equations? Show work

Answers

Answer:

2x – 3 = 0

2y = 8.

m + 1 = 0

x + y = 2

3x – y + z = 3.

Step-by-step explanation:

these are 5 examples

A right cone is shown. The radius of the base is labeled x millimeters. The height is labeled forty millimeters. The slant height is labeled ninety millimeters. Find the value for the unknown measurement in the right cone. Round to the nearest tenth. Enter the correct answer in the box.

Answers

Answer:

Radius, x = 80.6mm

Step-by-step explanation:

[tex]radius =\sqrt{height^2 -slant\ height^2} = \sqrt{90^2 - 40^2} = \sqrt{8100-1600} =\sqrt{6500}[/tex]

Radius = 80.6mm

middle school has 600 students and 34% of them are in the 8th grade. One-fourth of 8th graders walk to school. How many 8th grade students walk to school? A. $4.50 B. $9.00 C. $12.00 D. $48.60

Answers

Answer: 51 students

Step-by-step explanation:

There are 600 students in this school and 34% are in 8th Grade.

The number of students in 8th grade is:

= 34% * 600

= 204 students

Then out of these 204, 1/4 walk to school. The number of students walking to school is therefore:

= 204 * 1/4

= 51 students

Options are most probably for another question.

Answer:

51

Step-by-step explanation:

solve it please, (√81 + √9) ASAP​

Answers

Step-by-step explanation:

hope it is helpful to you

Answer:

2√21

Step-by-step explanation:

I basically simplify the radical by breaking the radical up into products of the know factors, assuming the real numbers.

The Blue Diamond Company advertises that their nut mix contains (by weight) 40% cashews, 15% Brazil nuts, 20% almonds and only 25% peanuts. The truth-in-advertising investigators took a random sample (of size 20 lbs) of the nut mix and found the distribution to be as follows: 5 lbs of Cashews, 6 lbs of Brazil nuts, 5 lbs of Almonds and 4 lbs of Peanuts. At the 0.05 level of significance, is the claim made by Blue Diamond true? Select the [p-value, Decision to Reject (RH0) or Failure to Reject (FRH0)].

Answers

Answer:

Hope this helps!

Step-by-step explanation:

The answer of the condition is Fail to Reject.

What is Chi- square test?

A chi-squared test (also chi-square or χ2 test) is a statistical hypothesis test that is valid to perform when the test statistic is chi-squared distributed under the null hypothesis, specifically Pearson's chi-squared test and variants thereof. Pearson's chi-squared test is used to determine whether there is a statistically significant difference between the expected frequencies and the observed frequencies in one or more categories of a contingency table.

The data is given as follow:

The experimental weight of cashews = 40 % of 20lbs

                                                                  = 8

The experimental weight of Brazil Nuts = 15 % of 20lbs

                                                                  = 3

The experimental weight of Almonds = 20 % of 20lbs

                                                                 = 4

The experimental weight of peanuts = 25 % of 20lbs

                                                                  = 5

The observed value is :

Cashews = 5Brazil Nuts= 6Almonds= 5Peanuts= 4

So, [tex]{\displaystyle \chi }[/tex] =[tex]\frac{(O-E)^{2}}{E}[/tex]

[tex]{\displaystyle \chi }[/tex]= [tex]\frac{(5-8)^{2}}{8} + \frac{(6-3)^{2}}{3} + \frac{(5-4)^{2}}{4} +\frac{(4-5)^{2}}{5}[/tex]

  = 4.575

pvalue = p([tex]{\displaystyle \chi }^{2}[/tex] > 4.575) = [tex]{\displaystyle \chi }^{2}[/tex] cdf(4.575, 99999, 3)

                                     = 0.208 >α

Hence, Fail to reject.

Learn  ore about chi square test here:

https://brainly.com/question/16865619?referrer=searchResults

#SPJ2

Can someone please help? The question is in the picture.

Answers

Answer: Choice B. 10+4*sqrt(14)

===========================================================

Explanation:

The diagram shows that PT = 4 and QR = 5. Since QR is a radius of the circle, this means that the other radii segments TR and RS are also 5 units long.

Note how PR = PT+TR = 4+5 = 9, and how this segment is the hypotenuse for the right triangles PQR and PRS.

Picking either triangle, we have one known leg of 5 units (the radius mentioned earlier) and the other is unknown. The unknown leg is tangent to the circle, and recall that a tangent segment is always perpendicular to the radius at the point of tangency. So that's why we have right triangles.

Apply the pythagorean theorem to find the length of PQ and PS (both are the same length)

a^2 + b^2 = c^2

a^2 + 5^2 = 9^2

a^2 + 25 = 81

a^2 = 81 - 25

a^2 = 56

a = sqrt(56)

a = sqrt(4*14)

a = sqrt(4)*sqrt(14)

a = 2*sqrt(14)

The exact length of PQ and PS is 2*sqrt(14) units.

---------

We have enough to find the perimeter of quadrilateral PQRS. We add up the exterior sides. That means we ignore the interior segment PR.

perimeter = PQ+QR+RS+SP

perimeter = 2*sqrt(14)+5+5+2*sqrt(14)

perimeter = 10+4*sqrt(14)

Answer is choice B

Side note: The expression above approximates to roughly 24.966629

omg please help me I don't understand

Answers

Answer:

508sq. cm

Step-by-step explanation:

surface area of a prism = 2(lw + wh + lh)

For the larger prism

Surface area = 2(2*10 + 2 * 12 * 10*12)

Surface area = 2(20+24+120)

Surface area = 2(164)

Surface area = 328sq.cm

For the smaller prism

Surface area = 2(3*6 + 3 * 8 * 6*8)

Surface area = 2(18+24+48)

Surface area = 2(90)

Surface area = 180 sq.cm

Surface area of the figure = 328 + 180

Surface area of the figure = 508sq. cm

Other Questions
Can an 8th grader get held back Multiply.(-3+2i)(-4+4i)Write your answer as a complex number in standard form. What kind of nuclear reaction occurs in the following reactions? 2. How do you know that Albert Johnson and his crew were used tobeing at sea during bad weather? Support your answer using theRACE. strategy and only TWO PIECE of evidence from the text. For the purpose of determining the value of its end-of-year inventory, a clothing store creates a list at the end of the year of every item currently in stock along with each iter's wholesale price. Which of thefollowing is the best description of the end-of-the-year activity? The point on the coordinate plane shows the amount of red and yellow paint in each batch. Write an equation to represent the relationship between red paint, R, and yellow paint, Y, in each batch. adaptability within a species can only occur if there is genetic. Help please !??!??!??!?????!!? Point out the wrong statement: SOA eliminates the use of application boundaries, the traditional methods where security is at the application level aren't likely to be effective An atomic service cannot be decomposed into smaller services that provide a useful function XML security service may be found in retail application communication. None of the mentioned What are the advantages and disadvantages of the Big Stick Diplomacy? Im guessing D and B but i dont know The radius of a circle is 8 feet. What is the circle's area?Use 3.14 for . 4-year-old becomes frightened of the dark and refuses to go to sleep at night. How would a psychoanalyst and a behaviorist differ in their views of how this problem developed? HELP!!! Simplify cos^2 0 -1/ 4sin^2 0? Jajakskssjjsskzkzjjzzjsjsjsjzjzjzj please answer A right triangle has a hypotenuse measuring 15inches and one leg measuring 9 inches. What is thelength, in inches, of the other leg of the triangle?A 3B 6C 10D 12 Give five example molecules The popular general fired by President Harry S. Truman during the Korean War was _?_. It is desired to filter a cell broth at a rate of 3000 liters/h on a rotary vacuum filter at a vacuum pressure of 70kPa. The cycle time for the drum will be 60 s and the cake formation time (filtering time) will be 20 s. The broth to be filtered has a viscosity of 2.0 cP and a cake solids (dry basis) per volume of filtrate of 10 g/liter. From laboratory test, the specific cake resistance has been determined to be 9 x 1010 cm/g. Determine the area of the filter that is required. In Spanish, write 5 sentences using words from the Present Perfect Irregular Verbs list from earlier this week.List of verbs from edge for this are:abiertocubiertodichoescritofritohechomuertopuestoresueltorotovistovuelto