-30< x/-4
Solve for x.
Answer must be simplified.

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:

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

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You have to convert them so they have a common denominator

A common multiple of all these is 24

3/4 --> 18/24

5/12 --> 10/24

1/2 --> 12/24

1/4 --> 6/24

2/3 --> 16/24

Now you can easily compare the values

The correct order would be:

D B C E A

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Answer:

Order is DBCEA (1/4, 5/12, 1/2, 2/3, 3/4)

Step-by-step explanation:

Reason that is the order is if you make everthing have a common denominator of 12 you get:

A=9/12

B=5/12

C=6/12

D=3/12

E=8/12

If you rearrange and simplify again you get the order of DBCEA or 1/4, 5/12, 1/2, 2/3, 3/4

Answer: 330 pounds

Step-by-step explanation:

Answer:

oooooh Mathswatch.a=3/12  b=7/12

Step-by-step explanation:

a=You need to list all the probability out

There is a total of 24 possibility and 6 of them are the same colour. Simplify it, it becomes 3/12

b= see the photo. (sorry the photo wasn't too good, I am on a computer)

There are a total of 14 combination that has one red counter in it, simplify it, it is 7/12

A) The probability that the two counters will be the same colour is; ¼

B) Probability that exactly one of the counters will be red is; P(exactly one counter is red) = 7/12

We are told that he has 2 bags of counters;

First bag;

- 2 red counters

- 1 blue counter

Second bag;

- One red counter

- One blue counter

- two yellow counters

A) He takes a counter from both bags, probability that they will be same colour is;

RR or BB

Now, P(RR) = ⅔ × ¼ = 2/12

P(BB) = ⅓ × ¼ = 1/12

Thus;

P(both same colour) = 2/12 + 1/12

P(both same colour) = ¼

B) Probability that exactly one of the counters will be red;

The possible combinations in this way that have a red is 14.

Meanwhile total possible combinations is 24.

Thus;

P(exactly one counter is red) = 14/24

P(exactly one counter is red) = 7/12

Read more at; https://brainly.com/question/16601588

Answer:

GDC

Step-by-step explanation:

Answer:

equilateral right triangle

Step-by-step explanation:

7^2+7^2=c^2

49+49=c^2

c^2=98

c=10

Therefore, equilateral right triangle

Your answer would be 37.5%

For the first card you picked, the probability of picking a number less than 3 is 2/4 = 1/2, because there are 2 cards that are less than 3 and a total of 4 cards.

When picking the second card, it is still out of 4 because you replaced the first one, so the probability of picking a card greater than 1 is 3/4 because there are 3 cards that are greater than 1 out of a total of 4.

Therefore the total probability would be 1/2 × 3/4 = 3/8. To find this as a percentage we just multiply by 100, and this gives us 37.5%.

I hope this helps!

Answer:

You have three card : 1, 2, 3 and 4.

You first pick one card randomly, the probability of picking a number less than 3 is:

P = 2/4  

You then pick a second card after putting the first card back, the probability of picking a number greater than 1 is:

P = 3/4

=> The probability of picking a number less than 3 and then picking a number greater than 1:

P = (2/4) x (3/4) = 3/8

Hope this helps!

:)

Answer:

 cotθ = √35 = 5.91

Step-by-step explanation:

Explanation:-

Given sin(θ) = -1/6

         [tex]cosec(theta) = \frac{1}{sin(theta)} = \frac{1}{\frac{-1}{6} } = -6[/tex]

We will use trigonometric formula

   co sec ²θ -cot²θ  =1

    cot ² θ =  co sec ²θ - 1  

    cot ² θ =   (-6)² -1 = 36 -1 =35

   cotθ = √35 = 5.91

   Given' θ' is  Quadrant III.

In third quadrant cotθ and tanθ are positive

   cotθ = √35 = 5.91

Answer:

102 in^3.

Step-by-step explanation:

Volume of the  ice cream container = 10*14*12 = 1680 in^3.

Volume of the  sherbet container = 11*18^9 = 1782 in^3.

So the answer is 1782 - 1680

= 102 in^3.

Answer:

Height of the empire building = 1505.57 ft

Step-by-step explanation:

Jada is visiting new York city to see the empire state building . She is 100 ft away when the she spots it. To see the top she has to look at an angle of 86.2° . The illustration forms a right angle triangle.

The height of the empire can be gotten below.

the adjacent side of the triangle formed  = 100 ft

The side we are looking for is the opposite side which is the height of the empire state building. The angle formed is the angle of elevation from the ground to the top which is 86.2°

Using SOHCAHTOA principle the height can be gotten with the tangential degree.

tan 86.2° = opposite/adjacent

tan 86.2° = a/100

a = 100 tan 86.2

a = 100 × 15.0557227245

a = 1505.57227245

a ≈ 1505.57 ft

Height of the empire building = 1505.57 ft

Step 1) Divide the figure into separate shapes

Long rectangle: 27 x 5

Triangle: 3 x 4

Middle rectangle: 15 x 7

Small rectangle: 6 x 3

Step 2) Find the area of each shape

Long rectangle: A = 27 x 5 = 135

Triangle: A = 1/2 x 3 x 4 = 6

Middle rectangle: A = 15 x 7 = 105

Small rectangle: 6 x 3 = 18

Step 3) Add all of the areas together

A = 135 + 6 + 105 + 18 = 264 square feet

Hope this helps! :)

Answer:

2. a^3+2^3=24

1. Jack has 24 pieces of candy and divided them into groups of 3. He put 2 pieces in each group. How many more are in each group?

Step-by-step explanation:

im not sure if this is correct but i tried sorry.

Answer:

20 hours

Step-by-step explanation:

20x20

Answer: 20 hours

Step-by-step explanation:

Hour=60 min

20 cakes=60 min

400 ÷ 20 = 20 hours

Answer:

0.5

Step-by-step explanation:

Answer:

answer is 0.5 just got it right

Step-by-step explanation:

Answer:

All real numbers

Step-by-step explanation:

The range is the possible output values

This is a line and the output goes from negative infinity to positive infinity

The range is all real numbers

Answer:

A

Step-by-step explanation:

Since it's a straight line, it extends from negative infinity to positive infinity

Answer:

fx

sum of (fx)= 214

mean = £fx/ N

N=100

mean= 214÷100

mean = 2.14

Answer:

≅ 0.02083333

Step-by-step explanation:

(3.5 * 2/7 - 2/3)÷16 = 1

48

≅ 0.02083333

1: Conversion a decimal number to a fraction: 3.5

2: Multiple: 3.5 * 2

7

= 7 · 2

2 · 7

= 14

14

= 1 · 14

1 · 14

= 1

3: Subtract:

4: Divide

Hope this helps.

1/48 is the value of  (3.5· 2/7 − 2/3 )÷16.

An expression is combination of variables, numbers and operators.

(3.5 × 2/7 − 2/3 )÷16

Three point five times of two by seven minus two by three divided by sixteen.

Three point five times of two is 2 is seven

(7/7-2/3)÷16

(1-2/3)÷16

(1/3)÷16

1/3×1/16

1/48

Hence, 1/48 is the value of  (3.5· 2/7 − 2/3 )÷16.

To learn more on Expressions click:

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Answer:

The volume would increase 8 times

Step-by-step explanation:

The volume of a cube is given by the following formula:

Volume = side^3

With a volume of 125 cm3, we have:

125 = side^3

Now, if we double the length of the side, we have that:

New volume = (2*side)^3

New volume = 8*side^3

New volume = 8 * 125 = 1000

So the ratio of the new volume over the old volume is:

New volume / Volume = 1000 / 125 = 8

So the volume increased 8 times.

Answer:

Step-by-step explanation:

Given the expression cos[arccsc((2√3)/3)]

let y = arccsc((2√3)/3)

Taking cosec of both sides we have;

cosecy = cosec[arccsc((2√3)/3)]

cosecy = (2√3)/3

1/siny =  (2√3)/3

sin y = 3/2√3

Rationalizing 3/2√3

= 3/2√3 *√3/√3

= 3√3/2*3

= 3√3/6

= √3/2

siny = √3/2

y = arcsin(√3/2)

y = 60°

Since y = arccsc((2√3)/3) = 60°

cos[ arccsc((2√3)/3)] = cos60°

cos60° = 1/2

Answer:

It is 1/2

Step-by-step explanation:

Answer:

12/5 cm^3

Step-by-step explanation:

When you try and figure out volume, you want to multiply all of the sides a shape in order to get it.

The formula for volume is L x W x H

Now let's substitute all of the units with it's corresponding numbers:

L=3

W=4/3

H=3/5

Then just multiply:

3*4/3 = 4

4*3/5=12/5

Then you get the answer 12/5 cm^3

Answer:

[tex]2 \frac{2}{5} {cm}^{3} [/tex]

Step-by-step explanation:

[tex]volume = whl \\ = 3 \times \frac{4}{3} \times \frac{3}{5} \\ = \frac{36}{15} {cm}^{3} \\ = 2 \frac{6}{15} {cm}^{3} \\ = 2 \frac{2}{5} {cm}^{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!!

Answer:

-3x and -6x

Step-by-step explanation:

just multiply

Answer:

Buy Two tshirts and a pair of pants....

Step-by-step explanation:

Total purchase -

$9.85 + $56.00 = $65.85

Shipping charges is 20%  -

65.85 * 0.2 = 13.17

Total (including shipping) = $79.02

If you purchace two t shirts and a pair of pants then you dont have to pay for the shipping therefore,

Total purchase will be -

$9.85 + $56.00 + $9.85 = $75.70

Puchasing 2 tshirts will be $3.32 cheaper....

Answer:

You should buy a second t-shirt.

Step-by-step explanation:

The total without shipping comes out to $65.85. Add the 20% shipping by multiplying .20 by the total, $65.85, and you get $65.85 plus $13.17, the total being $79.02. Now, if you added another shirt for $9.85, your total comes out to $75.70, which barely qualifies for free shipping. In other words, yes, you should purchase a second shirt because you would actually save money, almost $4.

The answer is A it is correct.

Answer: THE OBJECT MUST MOVE IN THE SAME DIRECTION AS THE FORCE. WORK IS DONE ON AN OBJECT IF TWO THINGS OCCUR 1. THE OBJECT MOVES AS A FORCE IS APPLIED 2. THE DIRECTION OF THE OBJECT'S MOTION IS THE SAME AS THE DIRECTION OF THE FORCE APPLIED.

Step-by-step explanation:

Answer:

your answer would be 9. hope this helps!

Answer:

-Dividing 3,024 by 336 would give you 9:

[tex]3,024 \div 336 = 9[/tex]

Answer:

x = 96

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 4 to both sides:

(1/3)x - 4 (+4) = 28 (+4)

(1/3)x = 28 + 4

(1/3)x = 32

Next, multiply 3 to both sides:

(3)(1/3)x = (32)(3)

x = 32 * 3

x = 96

x = 96 is your answer.

~

Answer:

96=x

Step-by-step explanation:

Add 4 to each side

1/3x= 32

multiply 3 on each side to cancel out the fraction

x=96

Answer:

* Siobhan's profit at the grocery store ⇒ $ 10.8 *

Step-by-step explanation:

See below;

Priya's 40% profit in the grocery store ⇒ 40/100 * 9 = 2/5 * 9 = 18/5 ⇒ $ 3.6,

Priya's profit at the grocery store ⇒ 9 + 3.6 ⇒ $ 12.6,

Siobhan's 15% of Priya's profit from the store ⇒ 15/100 * 12.6 = $ 1.8

Siobhan's profit at the grocery store ⇒ 12.6 - 1.8 = $ 10.8

* Siobhan's profit at the grocery store ⇒ $ 10.8 *

Step-by-step explanation:

"identity" means an operation that does nothing.

For adding numbers, adding 0 changes nothing, so 0 is the identity for addition.

For multiplication, multiplying by 1 changes nothing, so 1 is the identity for multiplication.

Answer:

3/16 of an onion

Step-by-step explanation:

3/4 onion divided by 4

3/4÷4

Copy dot lip

3/4 * 1/4

3 /16 of an onion

Answer:

[tex] \frac{3}{16} [/tex]

Step-by-step explanation:

[tex] \frac{3}{4} \div \frac{4}{1} \\ \frac{3}{4} \times \frac{3}{4} \\ = \frac{3}{16} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

For the given equation of the line of best fit, the values that complete the table are as follows

An equation for a line of best fit follows the same guidelines as a linear function where 'y' represents the total (value), 'x' represents time (years), -2.9 is the rate, and 17.7 is the starting value.  The table indicates that for any year, there is a given value, but what we are solving for is the predicted value.  The residual is the different between the given and predicted values.  So, for 'a', we need to solve for the 'y' in our equation by replacing 'x' with '1', multiplying by -2.9 and adding 17.7.  This gives us 14.8.  For 'b', we simply need to subtract the given and predicted values to get a residual of 0.1.  For 'c', we again solve for 'y' by replacing 'x' with '3' in our given equation to get 9. And, for 'd' we subtract the given value of 5 and the predicted value of 6.1 to get 1.1.

answer-

a = 14.8

b = 0.1

c = 9

d = -1.1

The answer you seek is

answer-

a = 14.8

b = 0.1

c = 9

d = -1.1