A theater can hold 120 giants or 144 elves. If 90 giants are already inside, how many elves can also be admitted?

Answers

Answer 1

Answer:

36

Step-by-step explanation:

make proportion giants to elves

120/144 = 90/x cross multiply

120x =144*90

120x =12960 divide by 120

x = 108

so if there are 90 giants in the theater there are  108 elves also

considering that total 144 elves can be  in the theater subtract 144 and 108 so 36 more elves can be admitted

Answer 2

Answer:

36 elves

Step-by-step explanation:

Using proportions

We have space for 30 more giants

30 giants     x elves

------------- = ----------

120  full      144 elves  full

Using cross products

30*144 = x*120

Divide each side by 120

30*144/120 = 120x/120

36 = x

We can have 36 elves


Related Questions

Please be fast! What is the true solution to the equation below?

Answers

Answer: x=75

Step-by-step explanation:

the answer of this problem is A

Find the length of the third side to the nearest tenth.

Answers

Answer:

5.3

Step-by-step explanation:

You use the Pythagoras theorem which is a^2+b^2=c^2.

Since you're solving for a side length that's not the hypotenuse you will manipulate the equation to c^2-a^2=b^2. From here you just plug in numbers.

8^2 - 6^2 = b^2

64 - 36 = b^2

b = sqrt(28)

b = 5.2915.... = 5.3

what is 1/4 liters in decimal? ​

Answers

Answer:

0.25 Liters

Step-by-step explanation:

Easy, I just memorize these :)

1/2 = 0.5

1/3 = 0.33

1/4 = 0.25

1/5 = 0.2

2/3 = 0.67

3/4 = 0.75

I'm always happy help :)

1. The height of a cylindrical tank is 9.5 feet. The diameter of this tank 1.5 feet longer than the height. The tank was holding water at full capacity, but someone consumed one-seventh of the water. Which is closest to the volume of the remaining water in the tank?

A 105 cubic feet

B 165 cubic feet

C 246 cubic feet

D 287 cubit feet

Answers


To solve this problem we first need to calculate the volume of the tank at full capacity, since it is a cylinder we can use the appropriate formula shown below:
volume = pi*r²*h
Where r is half the diameter. Since the diameter of this tank is 1.5 feet longer than the height and the height is 9.5 feet, then the diameter is equal to 11 feet, so the radius must be r = 11/2 = 5.5 feet. We can now use the formula:
volume = pi*(5.5)²*9.5 = 902.815 feet³
Since someone consumed 1/7 of the water, the remainder must be 6/7 of the total volume. So we have:
remainder volume = (6/7)*volume = (6/7)*902.815 = 773.841 feet³

What is the sum of the numbers one plus one

Answers

Answer:

2 is the sum of one plus one

Answer:

2

Step-by-step explanation:

Rosa tiene 55 hojas de colores y
les encargo a sus dos sobrinas
Thalía y Paulina que hicieran
paquetes con 6 hojas cada uno.
¿Cuántos paquetes podrían hacer
con 55 hojas?​

Answers

Answer:

9 packages

Step-by-step explanation:

Each package will have 6 sheets, so to find the number of packages for 55 sheets, we can just use a rule of three:

1 package -> 6 sheets

x packages -> 55 sheets

x * 6 = 55 * 1

x = 55 / 6 = 9.17

Rounding down, we have x = 9 packages.

So it can be done a total of 9 packages, and there will be (55 - 9*6) = 1 sheet left.

Martin drew a triangle. Its sides were 3 cm 3 cm3, start text, space, c, m, end text, 4 cm 4 cm4, start text, space, c, m, end text, and 5 cm 5 cm5, start text, space, c, m, end text. It has one right angle and two acute angles. Complete the sentence to describe the triangle Martin drew. Martin's triangle is and .

Answers

Answer:

Martins triangle is a right angled triangle with hypotenuse of 5cm adjacent of 4cm and opposite side of 3cm.

Step-by-step explanation:

A triangle that has one of his angles to be 90° is known as a right angled triangle. The triangle has one right angle and two acute angles. The three sides of the triangle are namely the hypotenuse (which is the longest side), the opposite and the adjacent. One of the side of the triangle can be written in terms of the other using the theorem called pythagoras. According to the theorem;

[tex]hyp^{2} = opp^{2} + adj^{2} \\[/tex]

Based on the values of the sides given

hypotenuse = 5cm (being the longest side)

[tex]hyp^{2} = 3^{2}+4^{2} \\ hyp^{2} = 25\\hyp = \sqrt{25}\\ hyp = 5cm[/tex]

This shows that the triangle is a right angled triangle as described by Martin since we are able to express one side in terms of the other.

Find the mean median and mode of the refrigerator prices shown in the table. Witch measurement might be misleading to describing the average cost of a refrigerator?

Answers

Answer:

We need the picture.

Step-by-step explanation:

Unless the data is skewed (which means there is outliers) then you use mean as the most accurate. If you have a skewed graph or outliers then mean would mislead you to believe prices are higher (if you have high outliers) or low (if you have low outliers). Median is typically very accurate. Mode may be inaccurate if you have a lot of prices in a really high or low value.

round to the nearest tenth place it is repeating decimal 4/6

Answers

Answer:

0.7

Step-by-step explanation:

I divided 4 by 6

0.6666666666666...

Simplify to 0.7

Students were asked to write 6x^5 + 8x - 3x^3 + 7x^7 in standard form. Shown below are four
student responses.
Anna: 7x^7+ 6x^5 - 3x^3 + 8x
Mario: -3x^3 + 6x^5 + 7x^7 + 8x
William: 8x + 7x^7+ 6x^5 - 3x^3
Olivia: 8x - 3x^3 + 6x^5 + 7x^7
Which student is correct?

Answers

Answer:

Anna

Step-by-step explanation:

In standard form the first term is the term with the largest exponent.

The following terms are then in descending order of exponents.

The term with the largest exponent is 7[tex]x^{7}[/tex] ← first term

The expression in standard form is

7[tex]x^{7}[/tex] + 6[tex]x^{5}[/tex] - 3x³ + 8x ← Anna

20 POINTS PLZ HELP
Select the correct answer from the drop-down menu.


The order of matrix A + B is __.

Answers

Answer:

last one 4 x 1

Step-by-step explanation:

Order of the matrices must be the same in order to add them up

Adding matrices mean adding corresponding elements together

Order of matrix is 4 rows and 1 column

Answer:

4 x 1  ( 4 rows and one column)

Step-by-step explanation:

Recall the definition for order of a matrix: The number of rows times the number of columns.

So, in this case, we are adding matrix A which is 4 rows and 1 column to matrix B which is also of 4 rows and one column, obtaining a third matrix that has also 4 rows and one column:

[tex]\left[\begin{array}{cccc}-9\\0\\3\\-1\end{array}\right] +\left[\begin{array}{cccc}0\\4\\-6\\2\end{array}\right] =\left[\begin{array}{cccc}-9\\4\\-3\\1\end{array}\right][/tex]

The resultant A + B is also of 4 rows and one column

Rodger bowled seven games last week. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the median of Rodger's score?

Answers

Answer

The median is 155

Step-by-step explanation:

You get the numbers from least to greatest then the middle number is your median.

please help me out on this! Thank you !

Answers

Answer:

98,100,A

Plz mark me brainliest.

Step-by-step explanation:

If the family decides to fly, they know that they will need a rental car for at least part of their trip. Gabriela and Luis estimate a budget of $315 for rental car expenses. One rental car company charges $55 per day and $35 in taxes and fees. They also estimate that they will spend $15 per day on gas. Gabriela wrote the equation (55d+35)+15d=315 to determine the number of days the family can rent a car from this company.

How many days could the Morales family rent a car if they choose this rental car company with their estimated budget?

Answers

Answer:

The answer is 4

Step-by-step explanation:

Remove the parentheses

55d + 35 + 15d = 315

Collect the like terms

70d + 35 = 315

Move the constant to the right

70d = 315 - 35

Subtract the numbers

70d = 280

d = 4

In the last couple of months, Jack has seen rabbits in his backyard on
12 days and no rabbits on 36 days. What is the approximate probability
that he will see rabbits in his yard tomorrow?

Answers

Answer:

12/36 can be simplifed to 1/3 so he has a 1/3's chance of seeing them or 33%

Step-by-step explanation:

:)

Answer:

1/4

Step-by-step explanation:

Quiz 2
Below is how tall (in meters) each of the five players on Deandra's basketball team is.
17
2
1.6
Find the median height.​

Answers

2
Lowest to highest (middle number)

Line AB is tangent to circle O at B. Find the length of the radius r for AB = 8 and AO = 11.7. Round to the nearest tenth if necessary. The diagram is not to scale.13.7, 3.7, 8.5, 14.2

Answers

Answer:

8.5

Step-by-step explanation:

So the line segment that is tangent to the circle is 8, and AO is 11.7.

When you connect them, they are perpendicular, so you have a right triangle with one unknown leg that we will call X, a leg that is 8, and a hypotenuse that is 11.7.

If you use the Pythagorean Theorem, you will find that the leg is √72.89, which is approximately 8.5.

That leg is the radius.

This might be wrong so check it.

What is the slope of the line through (-10,1)(−10,1) and (0,-4)(0,−4)?
choose one:
A[-2]
B[2]
C[1/2]
D[-1/2]

Answers

Answer:

-1/2

Step-by-step explanation:

To find the slope

m = (y2-y1)/(x2-x1)

m= (-4 -1)/(0- - 10)

   = (-4-1)/(0+10)

   = -5/10

= -1/2

Answer:

D

Step-by-step explanation:

hope this helps

Please answer correctly !!!!! Will mark brainliest !!!!!

Answers

Answer:

-22

Step-by-step explanation:

From the graph, f(-8) = -2 and g(2) = -4, so the answer will be -3 * (-2) + 7 * (-4) = 6 - 28 = -22. Hope this helps!

Una catedral esta situada en la cima de una colina. Cuando la punta de su torre se observa desde el ple de la loma, el angulo de elevacion es de 48°. Cuando se ve desde un punto a una distancia de 6096 m del pie del promontorio, el angulo de elevacion es de 41° la cuesta de la colina forma un angulo de 32° Aproxima la altura de la catedral

Answers

Answer:

La altura de la catedral es de 15119,97 m.

Step-by-step explanation:

Para una respuesta única, la pregunta se formula de la siguiente manera:

Una catedral se encuentra en la cima de una colina. Cuando se ve la parte superior de su torre desde la parte inferior de la colina, el ángulo de elevación es de 48 °. Cuando se ve desde un punto a 6096 m del pie del promontorio, el ángulo de elevación es de 41 °, la pendiente de la colina forma un ángulo de 32 ° Se aproxima a la altura de la catedral

Deje que la base de la colina = C

El punto 6096 m de la base = A

La cima de la catedral = B

∴ ∠A = 41 °

∠C = 180-48 = 132 °

∠B = 180 - (41 + 132) = 7 °

[tex]\dfrac{6096}{sin7} = \dfrac{CB}{sin41}[/tex]

∴ CB = 32816.59 m.

Punto E = Base de la catedral.

Punto D = Punto debajo de la base de la catedral al nivel del pie de la colina

Por lo tanto, la altura de la catedral = BE

 ∡ABE = 90-41 = 49 °

∡CED = 90-32 = 58 °

∴ ∡CEB = 180 - 58 ° = 122 °

De la regla seno tenemos;

[tex]\dfrac{CB}{sin(\angle CEB)} = \dfrac{BE}{sin(\angle ECB)}[/tex]

∠EBA = 90 - 48 = 42°

∠EBC = 42 - 7 = 35°

∠ECB = 180 - 35 - 122 = 23°

[tex]\therefore \dfrac{32816.59 }{sin(122)} = \dfrac{BE}{sin(23)}[/tex]

[tex]BE = \dfrac{32816.59 }{sin(122)} \times sin(23) = 15119.97 \ m[/tex]

La altura de la catedral = 15119,97 m.

can someone heelp me with this i just dont understand it

Answers

Answer:

I CAN!

Step-by-step explanation:

First, where does the line start?

y=1

It looks like it goes up, and then right each one unit. No?

So that would be

Y=1+1

Warning! DO NOT say y=2.  That is no good. You probably want to simplify it, but dont. Okay?

Happy to help

ОωО

How many millimeters are in 1 meter? Use the metric table to help answer the question.


Metric Table
kilo-
hecto-
deka-
unit
deci-
centi-
milli-
1,000
100
10
1
0.1
0.01
0.001


Please help me!!!

Answers

Answer:

100cm make one metre

10mm make 1cm

therefore, 100×10= 1000

Answer:

answer is d

Step-by-step explanation:

took a test:)

What is the value of h in the figure below?

Answers

Answer:

12

Step-by-step explanation:

ΔBAD is similar to ΔCBD.  So we can write a proportion:

BD / CD = AD / BD

h / 16 = 9 / h

h² = 144

h = 12

1
Two similar triangular pastures meet at a
vertex. The dimensions are given in yards.
How much fencing would be needed to
enclose the larger pasture?
11
7
5
13
х
y​

Answers

Answer:

35 by 40

Step-by-step explanation:

Write the function for the graph.
(1,8) (0,2). will give brainliest ​

Answers

Answer:

D

Step-by-step explanation:

you have it right :)

The function with the coordinates (1, 8) and (0, 2) is [tex]f(x)=2\times(4)^x[/tex]. Therefore, option D is the correct answer.

What is the exponential function?

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

From the given graph, the coordinate points are (1, 8) and (0, 2)

Using the formula [tex]y=a\times(b)^x[/tex]

Where, a is x-intercept

Substitute, a=2 and (x, y)=(1, 8) in [tex]y=a\times(b)^x[/tex], we get

[tex]8=2\times(b)^1[/tex]

⇒ b=4

Substitute a=2 and b=4 in [tex]y=a\times(b)^x[/tex], we get

[tex]y=2\times(4)^x[/tex]

⇒ [tex]f(x)=2\times(4)^x[/tex]

Therefore, the function for the given coordinates is [tex]f(x)=2\times(4)^x[/tex].

Learn more about the exponential function here:

brainly.com/question/11487261.

#SPJ5

Work out the circumference of this circle. Give your answer in terms of pi and state it’s units

Answers

Circumference = Diameter x PI

The units is the same units as the diameter = cm.

The diameter is shown as 14 cm

Circumference = 14 x PI = 14PI cm.

You were shining a flashlight at a metal wall and noticed that it reflected at a different angle. What could be a possible explanation for this?



your flashlight is running low
you pointed the flashlight at a funny angle
the metal surface isn’t flat
the metal isn’t shiny enough


EXPLAIN YOUR ANSWER

Answers

Answer:

Possible explanation might include

The metal surface isn't flatyou pointed the flashlight at a funny angleI want brainliest!!!

Step-by-step explanation:

to double check your work, just imagine every answer...

your flashlight is low on battery, doesn't reflect light at a different angle thats for sure

light at a funny angle would cause the light to be reflected at a different angle.

The surface isn't flat would cause light to reflected at a different angle

the metal isn't shiny doesn't cause light to be reflected at a different angle

Luis Marissa and Federico are raising money for a school trip Luis has raised 6/7 of the total amount needed,Marissa has raised 5/9 of the total amount needed and Federico has raised 11/10 of the total amount needed.Who has raised the MOST Money

Answers

Fredrico

The obvious answers because it is the only mixed fraction. It is already more than the others

OR you can say

Lcm of 7, 10, 9 is 630

9=3×3
10=2×5
7=7

Looking at the prime factorizations, all the factors need to be included. And so we'll get:
2×3×3×5×7=630

Let's check it:
630=9×(2×5×7)

630=10×(3×3×7)

630=7×(2×3×3×5)

The new fractions would be

540/630 for Luis

350/630 for Marissa

And 693/630 for Federico


Answer:

Federico

Step-by-step explanation:

Find the surface area of the cylinder.
9 cm
19 cm​

Answers

Answer:

You have not given any detail about the cylinder like radius diameter or height.

Meg purchased a stereo system at a local store. It cost $675. She paid for it in six equal installments of $139 each. How much interest did she pay?

Explanation plz. Would like to know how to solve for future questions.

Answers

Answer:

159

Step-by-step explanation:

She paid 6 payments of 139

6*139 = 834

The cost was 675

834-675 =159

The interest was 159

Other Questions
Is triangle a parallelogram A sample of sugar (C12H22O11) contains1.505 1023 molecules of sugar. How many moles of sugar are present in the sample? Answer without doing any calculations.0.25 mol0.50 mol1.00 mol2.50 mol Bachrodt Corporation uses activity-based costing to compute product margins. Overhead costs have already been allocated to the company's three activity cost pools--Processing, Supervising, and Other. The costs in those activity cost pools appear below:Processing $ 21,600Supervising $ 3,700Other $ 10,700Processing costs are assigned to products using machine-hours (MHs) and Supervising costs are assigned to products using the number of batches. The costs in the Other activity cost pool are not assigned to products. Activity data appear belowMHs (Processing) Batches (Supervising)Product Y7 3,700 400Product V0 6,300 600Total 10,000 1,000Finally, sales and direct cost data are combined with Processing and Supervising costs to determine product margins.Product Y7 Product V0Sales (total) $ 102,200 $ 78,900Direct materials (total) $ 40,800 $ 39,100Direct labor (total) $ 47,200 $ 22,300What is the product margin for Product Y7 under activity-based costing?a. -$3,800b. $4,728c. $14,200d. $6,208 Points G and H are located at (15,7) and (-9,7) on the coordinate plane.What is the distance between the two points?A. 6 unitsB. 8 unitsC. 14 unitsD. 24 units Whats the resistance in the circuit Western Company is preparing a cash budget for June. The company has $12,000 in cash at the beginning of June and anticipates $30,000 in cash receipts and $34,500 in cash payments during June. Western Company has an agreement with its bank to maintain a minimum cash balance of $10,000. As of May 31, the company has no loans outstanding. To maintain the $10,000 required balance, during June the company must:a. Borrow $4,500. b. Borrow $2,500. c. Borrow $10,000. d. Repay $7,500. e. Repay $2,500. please its urgent!!! The sociological perspective is a point of view that:O A. sees the world from your personal perspective.O B. determines how people act.O c. prevents social patterns.D. sees general patterns of society in the lives of individual people. Purchases and Cash Payments Journals Happy Tails Inc. has a September 1, 20Y4, accounts payable balance of $620, which consists of $320 due Labradore Inc. and $300 due Meow Mart Inc. Transactions related to purchases and cash payments completed by Happy Tails Inc. during the month of September 20Y4 are as follows: Sept. 4. Purchased pet supplies from Best Friend Supplies Inc. on account, $295. Sept. 6. Issued Check No. 345 to Labradore Inc. in payment of account, $320. Sept. 13. Purchased pet supplies from Poodle Pals Inc. on account, $790. Sept. 18. Issued Check No. 346 to Meow Mart Inc. in payment of account, $300. Sept. 19. Purchased office equipment from Office Helper Inc. on account, $2,510. Sept. 23. Issued Check No. 347 to Best Friend Supplies Inc. in payment of account from purchase made on September 4. Sept. 27. Purchased pet supplies from Meow Mart Inc. on account, $450. Sept. 30. Issued Check No. 348 to Jennings Inc. for cleaning expenses, $80. Happy Tails Inc. uses the following accounts: Cash 11 Pet Supplies 14 Office Equipment 18 Accounts Payable 21 Cleaning Expense 54 a. Prepare a purchases journal and a cash payments journal to record these transactions in chronological order. If an amount box does not require an entry, leave it blank. If no entry is required in "Other Accounts Dr." then select "No entry required". Can anyone help me please? Which of the following is an example of segregation that occurred in spite of the fourteenth amendment? Which three river systems flow out of the Himalayas Mutations that create small differences in the DNA sequence , making different versions of the same genes, best account for The study of how humans interact with the environment is called A certain printer requires that all of the following conditions be satisfied before it will send a HIGH to la microprocessor acknowledging that it is ready to print: 1. The printer's electronic circuits must be energized. 2. Paper must be loaded and ready to advance. 3. The printer must be "on line" with the microprocessor. As each of the above conditions is satisfied, a HIGH is generated and applied to a 3-input logic gate. When all three conditions are met, the logic gate produces a HIGH output indicating readiness to print. The basic logic gate used in this circuit would be an): A) NOR gate. B) NOT gate. C) OR gate. D) AND gate. Plez help, i am too dumb to understand math A triangle has a base 5 cm and a height of 8 cm what is the area of the triangle AB2. How would the Xenatib experiment you designed in Procedure 1.7 be different if you weretesting its effectiveness on humans with pancreatic cancer instead of mice? Explain. If a plant has a genotype Rr, what is the probability it will produce a gamete thats is R?A) 25%B) 50%C) 0%D) 100% Machines, tools, materials, and processes used to produce goods and services are defined as __________.