The 7 dwarves only have 4 beds, so 3 dwarves sleep on the floor. How many different ways can 4 dwarves be chosen to sleep on the beds?
A.
7
B.
42
C.
70
D.
35

Answer:

Step-by-step explanation:

-1/2(10 + 1/4)​

10+1/4 = 41/4

Since the denominator is 4, you multiply 10 by 4 to make it equivalent since 10 is a whole number and 1/4 is a fraction

-1/2(10.25)= -41/8 or 5.125

Answer:

1 ladrillo cuesta 1 dólar.    1 brick costs 1 dollars.

1 kg de cemento cuesta 3 dólares: 1 kg cement costs 3 dollars

1 kg de arena cuesta $ 16: 1 kg sand costs $ 16

Step-by-step explanation:

Spanish

Deje que los ladrillos, la arena y el cemento se denoten por b, sy c. Luego, de acuerdo con la condición dada

20b + 5s + 10c = $ 130 --- ecuación 1

1c = 3b ------ ecuación 2

1s = 4c + 4b ------ ecuación 3

Poniendo la ecuación 2 en la ecuación 3

1s = 4 (3b) + 4b

1s = 16b ---------- ecuación 4

20b + 5s + 10 (3b) = $ 130

50b + 5s = 130 --- ecuación 5

Poniendo la ecuación 4 en la ecuación 5

50 b + 5 (16b) = 130

50 b + 80b = 130

130 b = 130

b = 130/130 = $ 1 ------- ecuación a

1 ladrillo cuesta 1 dólar.

Poner el valor de costo de 1 ladrillo en estas ecuaciones

1c = 3b ------ ecuación 2

1s = 4c + 4b ------ ecuación 3

1c = 3 (1) = $ 3 -------- ecuación b

1 kg de cemento cuesta 3 dólares

1s = 4c + 4b

1 s = 4 (3) + 4 (1)

1 s = 12 + 4

1s = $ 16 ------ ecuación c

1 kg de arena cuesta $ 16

Poner valores de la ecuación a, b, c en la ecuación 1

20b + 5s + 10c = $ 130

20 (1) + 5 (16) + 10 (3) = 130

20 + 80 + 30 = 130

130 = 130 ------------ por lo tanto probado

English

Let the bricks , sand and cement be denoted by b, s and c. Then according to the given condition

20b+ 5s+ 10c= $130--- equation 1

1c= 3b------ equation 2

1s= 4c+4b------ equation 3

Putting equation 2 in equation 3

1s= 4(3b) + 4b

1s= 16b---------- equation 4

20b+ 5s+ 10(3b)= $130

50b + 5s= 130--- equation 5

Putting equation 4 in equation 5

50 b + 5 (16b) = 130

50 b+ 80b= 130

130 b= 130

b= 130/130= $1------- equation a

1 brick costs 1 dollars.

Putting the cost value of 1 brick in these equations

1c= 3b------ equation 2

1s= 4c+4b------ equation 3

1c= 3(1)= $3-------- equation b

1 kg cement costs 3 dollars

1s= 4c+4b

1s= 4(3) + 4(1)

1s= 12+4

1s= $16 ------ equation c

1 kg sand costs $ 16

Putting values from equation a, b, c in equation 1

20b+ 5s+ 10c= $130

20 (1) + 5 (16) + 10 (3)= 130

20 + 80 + 30 = 130

130 = 130   ------------ hence proved

9514 1404 393

Answer:

  linear

Step-by-step explanation:

We notice that adjacent x-values all differ by 1.

Similarly, we notice that all y-values differ by 0.5. When differences are constant, the function is linear.

Answer:

La variación de temperatura en el día es 9°C.

Step-by-step explanation:

Cuando tenemos dos valores, uno máximo M y uno mínimo m, la variación entre esos valores es la diferencia (la resta) entre el valor máximo M y el valor mínimo m

variación = M - m

En este caso sabemos que la temperatura mínima es -2°C

La temperatura máxima es 7°C

La variación sera entonces:

Variación = 7°C - (-2°C)

Recordar la regla de los signos:

(-)*(-) = (+)

Entonces:

Variación = 7°C - (-2°C) = 7°C + 2°C = 9°C

La variación de temperatura en el día es 9°C.

Answer:

59.0

Step-by-step explanation:

c=31

b=90

90+31=121

180-121=59

56 rounded to the nearest 3 sf=59.0

please mark as brainliest if correct

thank you

Answer:

12.333 m

Step-by-step explanation:

The ratio x/BC is the tangent of angle theta:

 7.4

-------- = tan theta = 0.6

 BC

                                                                         7.4

Interchanging 0.6 and BC, we get    BC =  ------------ = 12.333 m

                                                                          0.6

Step-by-step explanation:

Mam nice drawing at your backside Mam nice drawing at your backside

Answer:

33 degrees Fahrenheit.

Step-by-step explanation:

If the temperature was 48 degrees, and it dropped 15, that means the initial temperature was subtracted by 15.

48 - 15 = 33.

Answer:

33°F

Step-by-step explanation:

The initial temperature was 48°F. Then, it dropped by 15°.

I am assuming that both values are given in the same unit.

48 - 15 = 33

The temperature should be 33 degrees now.

Hope this helps.

Answer:

i think it's 15%

Step-by-step explanation:

Answer:

Purchase rate of the house is $480000.

Step-by-step explanation:

Let the purchase rate of the house = $p

Current value of the house = $648000

If the current rate of the house has increased by 35% of the purchase rate,

Current rate = Purchase rate +  35% of the purchase rate

648000 = p + (35% of p)

648000 = p + [tex]p\times \frac{35}{100}[/tex]

648000 = p + 0.35p

648000 = (1.35)p

p = [tex]\frac{648000}{1.35}[/tex]

p = $480000

Therefore, purchase rate of the house is $480000.

Answer:

x=5,y=-3

Step-by-step explanation:

[tex]\left \{ {{-6x+3y=-39} \atop {-6x-3y=-21}} \right. \\-12x=-60\\12x=60\\x=\frac{60}{12} \\x=5[/tex]

[tex]-6(5)+3y=-39\\-30+3y=-39\\3y=-39+30\\3y=-9\\y=-\frac{9}{3} \\y=-3[/tex]

Answer:

income statement

Step-by-step explanation:

There are 4 types of financial statements

The income statement records the net profit or loss of company in a particular period. it records the revenues and expenses.

the balance sheet contains information about the asset, liabilities and equity of a company

the statement of cash flows records the inflow and outflow of cash in an organisation

the statement of changes in equity records changes in equity

Step-by-step explanation:

I dont know how to do this sorry

Answer:

You need to use the angles as a waypoint such as the one opposite b is equal to b then you need to use the angles on a straight line

Step-by-step explanation:

Answer:

∠A= 111.75°

Step-by-step explanation:

Please see the attached picture.

∠B +∠C= 180° (adj ∠s on a str. line)

(x +35)° +∠C= 180°

∠C= 180° -(x +35)°

∠C= 145° -x°

∠A= ∠C (corr. ∠s)

∠A= 145° -x°

Given that ∠A is (3x +12)°, equate this expression to the expression we found.

145° -x°= 3x° +12°

3x° +x°= 145° -12°

4x°= 133°

x°= 133° ÷4 (÷4 on both sides)

x°= 33.25°

Substitute the value of x back into the expression for ∠A:

∴∠A= 3(33.25°) +12°

∠A= 111.75°

Answer:

ENGLISH

One of the angles must equal 90 degrees and the other two angles must add up to 90 degrees.

SPANISH TRANSLATION

Uno de los ángulos debe ser igual a 90 grados y los otros dos ángulos deben sumar 90 grados.

Answer:

77-55=22, i don't know if this is the answer if i'm wrong sorry im just trying to help you.For every 22 followers tyler has, Naomi has 22 leser followers

Step-by-step explanation:

IF i am right pls subscribe to Amiredagoat Yt

Answer:

$493.01

Step-by-step explanation:

463.28 + 28.35 + 78.88 - 77.50

Answer:

493.01

Step-by-step explanation:

463.28 + (28.35+78.88) = 570.51

Deposits means to add money.

570.51 - 77.50 = 493.01

9514 1404 393

Answer:

Step-by-step explanation:

Using the least common denominator, we have ...

  [tex]2-\dfrac{x+1}{x-2}-\dfrac{x-4}{x+2}\\\\=\dfrac{2(x-2)(x+2)-(x+1)(x+2)-(x-4)(x-2)}{(x-2)(x+2)}\\\\=\dfrac{2(x^2-4)-(x^2+3x+2)-(x^2-6x+8)}{x^2-4}\\\\=\dfrac{(2-1-1)x^2+(-3+6)x+(-8-2-8)}{x^2-4}=\boxed{\dfrac{3x-18}{x^2-4}}[/tex]

The values of a and b are ...

  a = 3

  b = -18

Answer:

m∠C = 26°

m∠D = 108°

m∠E = 46°

Step-by-step explanation:

Set up the equation adding the expressions together to equal 180 (sum of all angles in a triangle)

(2x) + (x+3) + (5x-7) = 180

Remove the parentheses

2x + x+ 3 + 5x - 7 = 180

Add like terms

8x - 3 -7 = 8x -4 = 180

8x - 4 = 180

Add 4 on each side to cancel it out on the right

8x - 4 = 180

     +4   = +4

8x = 184

Divide each side by 8 to get the variable by itself

8/8 =1    184/8 = 23

x = 23

Substitute x in eac expression

2x = 2(23) = 46°

x + 3 = 23 + 3 = 26°

5x - 7 = 5(23) - 7 = 115 -7 = 108

Chek it by adding all the degrees to make sure it equals 180

46 + 26 + 108 = 72 + 108 = 180

Answer:

73.5

Step-by-step explanation:

Part/whole=percent/100

?/500=2.1%/100

500 divided by 100 is 5, so 2.1% times 5 is 10.5, which is the amount of interest made per year.

So, 10.5 times 7 is 73.5

Answer:

Area of the parallelogram = 107,555 square feet

Step-by-step explanation:

Let

h = height of the parallelogram

sin (112°) = h/200 feet

h = sin(112°) × 200

h = 0.927184 × 200

= 185.4368 feet

h = 185.44 feet

Area of the parallelogram = base × height

= 580 feet × 185.44 feet

= 107,555.2 square feet

To the nearest square root = 107,555 square feet

Area of the parallelogram = 107,555 square feet

Answer:

2 and 3

Step-by-step explanation:

30 is 20% of 150

I hope this helps

Have a great day

Answer:

a)47/8

b)53/12

c)31/6

d)53/6

e)68/5

f)64/9

Step-by-step explanation:

Answer:

First add the fraction then the whole number

Step-by-step explanation:

a)47/8

b)53/12

c)31/6

d)53/6

e)68/5

f)64/9

Answer:

B. Distribute

Step-by-step explanation:

The first step is to apply the distributive property.

Please let me know if I was correct

Solution :

In the figure, the box plot represents the lengths of the songs of the two digital music players that is in minutes.

From the figure, we can see that for the music player Y, the interquartile range of the data is small.

And the interquartile range of data is more for the music player X.

So, we can conclude that the interquartile range of data is greater for Music player X than the interquartile range data of music player Y.

Answer:

1.48

Step-by-step explanation:

Formula:

degrees × (π)/180

85 × (π)/180

85π/180

17/36π

1.483

Rounded to nudredths: 1.48

Answer:

1.48

Step-by-step explanation:

Answer:

False

Step-by-step explanation: