What is the reciprocal: 4 2/3

24!

divide the budget limit (30) by the price of the cans (1.25)=24 cans!

(hope it helps!)

Answer:

9 containers

Step-by-step explanation:

You have to evenly divide 45 paper clips into 5 different containers.

45÷5=9

#9

[tex]\\ \tt\bull\rightarrowtail 3\sqrt{112}=3\sqrt{16(7)}=3(4)\sqrt{7}=12\sqrt{7}[/tex]

#10

[tex]\\ \tt\bull\rightarrowtail √175=\sqrt{25\times 7}=5\sqrt{7}[/tex]

Answer:

[tex]9)3 \sqrt{112} \\ \\ = 3 \sqrt{4 \times 4 \times 7} \\ \\ = 3 \times 4 \sqrt{7} \\ \\ = 12 \sqrt{7} \\ \\ 10) \sqrt{175} \\ \\ = \sqrt{5 \times 5 \times 7} \\ \\ = 5 \sqrt{7} [/tex]

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# Bora 7 #

Answer:

£6,000

Step-by-step explanation:

Use the simple interest formula:

I = Prt

I = (Principal Value)*(Annual Interest Rate)*(Time in Years)

I = (120000)(0.12)(5/12)

I = 6000

Therefore, the simple interest is £6,000

Answer:

3

Step-by-step explanation:

Because if you take 3.4 you round that 4 down to get just 3.

[tex]\displaystyle\bf\\\bigg(\frac{1}{\sqrt y}\bigg)^{\dfrac{-1}{5}} =\bigg(\frac{1}{\sqrt y}\bigg)^{(-\b1)\times\dfrac{1}{5}} =\sqrt{y}^{\bigg(\dfrac{1}{5}\bigg)}=\sqrt[5]{\sqrt{y}}=\boxed{\bf\sqrt[10]{y}}[/tex]

Answer
6 rides.

Step-by-step explanation:

If Chester has $25 dollars and the entrance fee is $5 dollars we now have $20 dollars, if each ride is $3 dollars he can spend 18 of that $20 which is 6 rides.

Hope this helps!

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{5}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 5 -3}{2}~~~ ,~~~ \cfrac{ 5 + 0}{2} \right)\implies \left(\cfrac{2}{2}~~,~~\cfrac{5}{2} \right)\implies \left(1~~,~~\frac{5}{2} \right)\implies (1~~,~~2.5)[/tex]

The number of people that were surveyed are 350 people

The given parameters are:

p = 78% --- the proportion of people that like listening to music in the car

Car =273 --- the number of people for the given proportion

The total number (n) of people surveyed is then calculated as:

Car = p * n

This gives

78% * n = 273

Express 78% as decimal

0.78 * n = 273

Divide both sides by 0.78

n = 350

Hence, 350 people were surveyed

Read more about proportions at:

https://brainly.com/question/1781657

Step-by-step explanation:

we can find value of x and y through Pythagoras theorem

according to it

h² = a² + b²

h = hypotenuse (i.e longest side of a right angled triangle)

a = side

b = base

in ∆ABC

AB² = AC² + BC²

(10)² = (8)² + x²

100 = 64 + x

x = 100 - 64 = 36

x² = √36 = 6

x = 6

in ∆PQR

PQ² = PR² + RQ²

y² = (4)² + (3)²

y = 16 + 9

y = 25

y² = √25 = 5

y = 5

a) angle BAC = angle QPR

b) value of x = 6 cm

c) value of y = 5 cm

hope this helps you dear!

Answer:

Step-by-step explanation:

When the triangles are similar

[tex]\frac{AC}{PR}=\frac{AB}{PQ} =\frac{BC}{QR} \\\\[/tex]

Taking First and Third ratios

[tex]\frac{AC}{PR} =\frac{BC}{QR} \\\\\frac{8}{4} =\frac{x}{3} \\\\x=\frac{8*3}{4} \\\\x=6cm[/tex]

Taking First and Second ratios

[tex]\frac{AC}{PR} =\frac{AB}{PQ} \\\\\frac{8}{4} =\frac{10}{y} \\\\y=\frac{4*10}{8}\\\\ y=5cm[/tex]

Answer:

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

Work Shown:

[tex]\frac{\text{KM}}{\text{NM}} = \frac{\text{KL}}{\text{NO}}\\\\\frac{\text{KN}+\text{NM}}{\text{NM}} = \frac{\text{KL}}{\text{NO}}\\\\\frac{7+x}{x} = \frac{15}{10}\\\\10(7+x) = 15x\\\\[/tex]

[tex]70+10x = 15x\\\\70 = 15x-10x\\\\5x = 70\\\\x = \frac{70}{5}\\\\x = 14\\\\\text{NM} = 14[/tex]

Side note: The triangles are similar, which allows us to set up the proportion in step 1.

Answer:

3/10

Step-by-step explanation:

So 15/50 and 20/50 are used, so you add them together, which would be 35/50

Then you subtract 35/50 from 50/50 to find what is left, which would be 15/50

Simply that by dividing the numerator and denominator by 5, which the final answer would be 3/10

Answer:

161.5 km/hr

Step-by-step explanation:

Explanation:

If you are dividing a fraction, the divisor will become it's reciprocal and the division sign will change to a multiplication sign.

Solution (a):

Solution (b):

Solution (c):

Solution (d):

Solution (e):

Final Answer(s)

Answer:

How many boxes are there?

Answer:

  x ≈ 29.4

Step-by-step explanation:

The side opposite the angle, and the hypotenuse are marked. That means the relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(22°) = 11/x . . . . . . . . . . . use known values

  x = 11/sin(22°) ≈ 29.4 . . . . . multiply by x/sin(22°)

Answer:

4 1/8km

Step-by-step explanation:

if you have done 3 1/4km you can multiply the fraction by 2 so you get 3 2/8.

so now we have 2 5/8km and 3 2/8.

(its always easier to have the fractions the same denominator)

now we add the whole numbers first.

2 km + 3km = 5km.

now the fractions.

5/8 km + 2/8 km = 7/8km.

now add them both together and we get.

5 7/8 km.

take that answer away from 10.

we get 4 1/8km.

Step-by-step explanation:

[tex](x {}^{4} - x) {}^{4} - ( {x}^{4} - x)[/tex]

[tex]x {}^{16} + 4( {x}^{12} ) - x + 6( {x}^{8} )( {x}^{2} ) + 4( {x}^{4} )( - {x}^{3} ) + {x}^{4} -( {x}^{4} - x)[/tex]

[tex] {x}^{16} - 4 {x}^{13} + 6 {x}^{10} - 4 {x}^{7} + {x}^{4} - {x}^{4} + x[/tex]

[tex] {x}^{16} - 4x {}^{13} + 6 {x}^{10} - 4 {x}^{7} + x[/tex]

Answer:

210

Step-by-step explanation:

lazy to write

Answer:

x = -2 and y = -4

Step-by-step explanation:

Given:

2x + y = -8

x - y = 2

Add the two equations:

3x + 0y = -6

3x = -6

x = -2

Sub x = -2 into the second equation

-2 - y = 2

-4 = y

Therefore, x = -2 and y = -4

Explanation:

Each X on that chart represents 2 juice boxes.

On the following days

is when Leon drank 10 juice boxes (stack of 5*2 = 10 total)

The total volume of water in the tank after 3 mins 24.75 gallons.

The new volume of water that entered into the tank is calculated as follows;

V₁ = 0.1 L/sec x (3 x 60 s)

V₁ = 18 L

1 liter = 0.264 gallons

18 Liter = ?

= 18 x 0.264

= 4.75 gallons

V = 20 gallons + 4.75 gallons

V = 24.75 gallons

Learn more about flow rate here: https://brainly.com/question/21630019

Answer:

m = 4

Step-by-step explanation:

Isolate the variable

2m = 8.     divide both sides by two to get the variable alone

m = 4

Check

2(4) + 7 = 15

8 + 7 = 15

Answer:

m=4

Step-by-step explanation:

2m+7 = 15

Subtract 7 from each side

2m+7-7=15-7

2m = 8

Divide each side by 2

2m/2 = 8/2

m= 4

Check

2(4) +7 = 15

8+7=15

15=15

It is correct

Answer:

x=−83

    25

Step-by-step explanation:

Let's solve your equation step-by-step.

−25(x+3)=8

Step 1: Simplify both sides of the equation.

−25(x+3)=8

(−25)(x)+(−25)(3)=8(Distribute)

−25x+−75=8

−25x−75=8

Step 2: Add 75 to both sides.

−25x−75+75=8+75

−25x=83

Step 3: Divide both sides by -25.

−25x

−25

=

83

−25

x=

−83

25

Answer:

x=

−83

25

Answer:

or it can be 3.32 if you need to put it in decimal form

Answer:

B. 2.

Step-by-step explanation:

You can find the average by substituting the given values in the function, then  do an arithmetic average with results.

So, for X = - 1 you get f(-1) = 1

For X = 0 you get f(0) = 3

So, the average with 1 and 3 is 2. Because you sum numbers which results 4, and then divided by 2 (the amount of numbers involved in the average).

Answer:

3

Step-by-step explanation:

volume = height x length x width

Divide the volume by the height and provided side to get the missing side

252/7 = 36

36/12 = 3

Check:

volume = height x length x width

252 = 7 x 12 x 3

252 = 252

Usando proporciones, hay que el error maximo que se puede cometer al medir el diametro de un circulo, en cm, es de [tex]\pm 0.5[/tex].

Una proporción es una fracción de la cantidad total.

En este problema:

[tex]\pm 0.05(10) = 0.5[/tex]

El error maximo que se puede cometer al medir el diametro de un circulo, en cm, es de [tex]\pm 0.5[/tex].

Puede-se aprender más a cerca de proporciones en https://brainly.com/question/26395519

Answer:

9 milles

Step-by-step explanation: