The committee is planning a party and 150 guests are expected. Each table seats 12 people. How many tables will be needed to seat all 150 guests?

Answer:

Step-by-step explanation:

A) 2x - 8

x is called variable

Option 2

B) 5 - 4x  is not a equation

Option 1

Part A:

We need to divide

5 ÷ 2/3

5/1 ÷ 2/3

5/1 * 3/2

15/2 or 7 1/2 plates of nachos.

Part B:

If Rachel can make 7 1/2 plates of nachos with 5 cups of cheese we need to multiply and subtract.

ma2/3 * 9 = 18/3 or 6 cups of cheese to make 9 plates

6 - 5 = 1 more cup of cheese she needs to make 9 plates

Best of Luck!

Answer:

A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output...

Answer:

C

Step-by-step explanation:

sin30° = y/6

sin30° = 1/2

y/6 =  1/2

y = 3

Answer:

To see how these fractions are equal, I divided the numerators by the denominators. For instance, you could have 4 over 5 (4/5) and divide 4 by 5 (4/5) to get 0.8. Now you'll do the same thing for the fractions given

24/45=0.533...

8/15=0.533...

48/90=0.533...

5/9=0.5556

As you can see, the only fraction that doesn't equal 0.53, or the outlier, is 5/9 or 0.5556

Step-by-step explanation:

A fraction is a way to describe a part of a whole. The fraction that equals 0.53 is (8/15).

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The value of the given fractions is equal to,

A.)

[tex]\dfrac{24}{46} = 0.5217[/tex]

B.)

[tex]\dfrac{8}{15} = 0.5333[/tex]

C.)

[tex]\dfrac{42}{90} = 0.4666[/tex]

D.)

[tex]\dfrac{24}{46} = 0.55556[/tex]

Hence, the fraction that equals 0.53 is (8/15).

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Answer:

z=2

Step-by-step explanation:

60=-5(-6-3z)

60= 30+15z

60-30=15z

30/15=15z/15

2=z

Answer:

2+7=9

450/9 = 50

2( 50) = 100 no concentrate

7(50) or 450 - 100 = 350 ml water

Answer:

Beto and Mark

Step-by-step explanation:

When you simplify Beto's equation, you get 0=5 which is inncorrect. 5 does not equal 0 so there are no solutions. When you simplify Mark's equation, you get 6=2 which is also inncorrect. 6 can not equal 2. If you solve the other 2 equations you get answers that can work.

Answer:

Step-by-step explanation:

If XY is bisector of angle AXN then:   [tex]\dfrac{YN}{AY}=\dfrac{XN}{AX}[/tex]

[tex]\dfrac4{12}=\dfrac{XN}{18}\\\\XN=\dfrac4{12}\cdot18\\\\XN=6[/tex]                                                            

Answer:

Step-by-step explanation:

A recipe for 1 loaf of bread calls for 2 cups of flour, 12 tablespoons of water and 1 teaspoon of salt.

Therefore, if we add 2 loaves of bread then double of ingredients will be required for the recipe.

In the same way if 4 loaves of bread have been added, 4 times ingredients will be required.

If 3 cups of flour are added then 3 times of other ingredients will be required.

So the table will be,

Number of loaves   Cups of flour   Tablespoons of water    Teaspoons of salt

         1                             2                        12                                1

         2                             4                       24                                2

         4                             8                       48                                4

         3                             6                       36                                3

Answer:

[tex]\huge\boxed{Slope = 3}[/tex]

Step-by-step explanation:

The coordinates are (5,6) and (6,9)

Slope = Rise / run

Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]

Slope = [tex]\frac{9-6}{6-5}[/tex]

Slope = [tex]\frac{3}{1}[/tex]

Slope = 3

Answer:

[tex]slope = 3[/tex]

Hope this helps you

brainliest plz

Answer:

Step-by-step explanation:

area of triangle = 1/2 × b × h

here,

b = 37 m

h = 30 m

so area = 1/2 × b × h

= 1/2 × 37 × 30

= 555 m^2

hope this helps

plz mark as brainliest!!!!!!!

Answer:

(22/7)²

576/49

is your answer hope it's help u

Answer:

if he lost 5.9 in 3.3 months he we would lost weight.

5.9* 3.3 19.47lbs

5,6 and6,5

Step-by-step explanation:

there is only two ordered pairs of 5,6that is itself and 6,5

Answer:

the two possible orders are 5,6 and 6, 5

Answer:

0.0169 km.

Step-by-step explanation:

km - kilometers (One kilometer is equal to 1000 meters.)

dkm - dekameters (One dekameter is equal to 10 meters.)

cm - centimeters (One centimeter is equal to 0.01 meters.)

mm - millimeters (One millimeter is equal to 0.1 meters.)

Used a calc to check each of the values to see if they equal 1.69m and km was the one that wasn't equal. Instead it was 16.9.

Answer:

1.69 meter

Step-by-step explanation:

Answer:

UT + CV = 4x + 33

Step-by-step explanation:

Given:

TW = 14

WU = 2x + 2

VW = 2x + 5

WC = 12

Find:

UT + CV

Computation:

UT = TW + WU  

UT = 14 + 2x + 2 = 16 + 2x

CV = VW + WC

CV = 2x + 5 + 12 = 2x + 17

UT + CV

16 + 2x + 2x + 17

UT + CV = 4x + 33

Answer:

4

Step-by-step explanation:

[tex]sin(\theta)=\frac{opposite}{hypotenuse}=\frac{1}{\sqrt{3} }\\ \\Therefore, opposite= 1, hypotenuse=\sqrt{3}. \ using \ Pythagoras:\\\\Hypotenuse^2=Adjacent^2+Opposite^2\\\\(\sqrt{3})^2 =Adjacent^2+1^2\\\\3=Adjacent^2+1\\\\Adjacent^2=3-1=2\\\\Adjacent=\sqrt{2}[/tex]

[tex]cos(\theta)=\frac{adjacent}{hypotenuse}=\frac{\sqrt{2} }{\sqrt{3}}\\ \\tan(\theta)=\frac{opposite}{adjacent } = \frac{1}{\sqrt{2}} \\\\Therefore:\\\\(tan(\theta)+\frac{1}{cos(\theta)})^2+ (tan(\theta)-\frac{1}{cos(\theta)})^2=( \frac{1}{\sqrt{2}}+\frac{1}{ \frac{\sqrt{2} }{\sqrt{3}}} )^2+( \frac{1}{\sqrt{2}}-\frac{1}{ \frac{\sqrt{2} }{\sqrt{3}}} )^2\\\\=( \frac{1}{\sqrt{2}}+ \frac{\sqrt{3} }{\sqrt{2}} )^2+( \frac{1}{\sqrt{2}}- \frac{\sqrt{3} }{\sqrt{2}} )^2[/tex]

[tex]=(\frac{1+\sqrt{3} }{\sqrt{2} } )^2+(\frac{1-\sqrt{3} }{\sqrt{2} } )^2=\frac{1+2\sqrt{3}+3 }{2} +\frac{1-2\sqrt{3}+3 }{2} =\frac{1+1+2\sqrt{3}-2\sqrt{3}+3+3 }{2} =\frac{8}{2}=4[/tex]

Answer:

D. 384 units²

Step-by-step explanation:

Hey there!

Well a right square prism's bases are squares meaning the area of the base is 64 units².

Meaning 128 "which is the sum of 64+64" needs to be taken out of the SA to find the LSA.

Now we only have 4 sides to find the area of,

h = 12

l/w = 8

A = (12*8) * 4

A = 96 * 4

LSA = 384 units²

Hope this helps :)

The lateral surface area of the given prism of length 12 and its base has a side of length 8 is 384 [tex]units^{2}[/tex]

The lateral surface area of an object is the total area of its sides excluding its top and the bottom.

A right square prism is a prism having four sides as rectangle and two sides as squares as its bases.

The lateral surface area of right square prism is equal to the area of the four rectangles only. So the formula is as follows:

Lateral surface area=4(length*breadth)

The altitude which is given to us of 12 will be the breadth of the rectangles and the length of base of 8 will be the length of the rectangles. So,

Lateral surface area of right prism=4(12*8)

=4*96

=384

Hence the lateral surface area of right prism of altitude of length 12 and base has a side of length 8 is 384[tex]units^{2}[/tex]

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Answer:

60%

Step-by-step explanation:

There are only even and odd numbers.  If a number is not even, it is odd.  If the probability of spinning an even number is 0.4, or 40%, then just subtract that by the whole spinner, which is equivalent to 100%:

100% - 40%

= 60%

This means that the odds of spinning an odd number is 60%

Hope this helps!  Tell me if I'm wrong please!

Answer:

60%

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex] \sf{2(6x - 1) = - 38}[/tex]

Distribute 2 through the parentheses

⇒[tex] \sf{12x - 2 = - 38}[/tex]

Move constant to right hand side and change it's sign

⇒[tex] \sf{12x = - 38 + 2}[/tex]

Calculate

⇒[tex] \sf{12x = - 36}[/tex]

Divide both sides of the equation by 12

⇒[tex] \sf{ \frac{12x}{12} = \frac{ - 36}{12} }[/tex]

Calculate

⇒[tex] \sf{x = - 3}[/tex]

Hope I helped!

Best regards!!

Answer:

parallel line y = -1/2x + 12

perpendicular line y = 2x + 2

Step-by-step explanation:

slope = -1/2

perpendicular slope = 2

y = mx + b

10 = -1/2(4) + b

10 = -2 + b

12 = b

y = -1/2x + 12

10 = 2(4) + b

10 = 8 + b

2 = b

y = 2x + 2

The exponential function represented by the table is given as follows:

[tex]y = 4\left(\frac{1}{2}\right)^x[/tex]

An exponential function is modeled by:

[tex]y = ab^x[/tex].

In which:

Considering the table:

Then the equation is:

[tex]y = 4\left(\frac{1}{2}\right)^x[/tex]

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Answer: 4

Step-by-step explanation:

Answer:

there are 5 significant digits

Answer:

[tex](-7,4]\text{ or }\{x|-7<x\leq 4\}[/tex]

Step-by-step explanation:

The domain is the span of x-values covered by the function.

From the graph, we can see that the graph covers all the x-values from x=-7 to x=4.

However, note that closed and open circles. There is an open circle at x=-7, which means that the domain excludes x=-7. However, the circle at x=4 is closed, meaning it is included in the domain.

Therefore, the domain is, in interval notation:

[tex](-7,4][/tex]

We use parentheses on the left because we do not include -7. And we use brackets on the right because we do include the 4.

And in set notation, this is:

[tex]\{x|-7<x\leq 4\}[/tex]

Answer:

The domain is the span of x-values covered by the function.

From the graph, we can see that the graph covers all the x-values from x=-7 to x=4.

However, note that closed and open circles. There is an open circle at x=-7, which means that the domain excludes x=-7. However, the circle at x=4 is closed, meaning it is included in the domain.

Therefore, the domain is, in interval notation:

(-7,4](−7,4]

We use parentheses on the left because we do not include -7. And we use brackets on the right because we do include the 4.

And in set notation, this is:

\{x|-7

Answer:

d = 1.4 t + 30

Step-by-step explanation:

Head start means any advantage achieved or advantage gained in any race or competition.

In the context, the runner is gained a head start of 30 meter from the starting point.

It is also given that the speed with which the runner is running is 5.0 km per hour.

Therefore, the equation that gives the distance covered by the runner from his start line at any time in seconds is given by d = 1.4 t + 30.

Answer:

24

Step-by-step explanation

36-12=24

Its as simple as that.

A number plus 12 is 36. The equation for the given calculation is 36 - 12 = 24.

Arithmetic is the fundamental branch of mathematics that covers number operations. Addition, subtraction, multiplication, and division are the operations involved.

The difference between each consecutive term in an arithmetic series is constant. The series 3, 5, 7, 9..., for example, is arithmetic because the difference between consecutive terms is always two.

Because the difference between subsequent words is always negative five, the sequence 21, 16, 11, 6... is also arithmetic.

Let the number added to 12 is x

Then,

12 + x = 36

x = 36 - 12 = 24

Therefore, the equation for the given calculation is 36 - 12 = 24.

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Answer:

see below

Step-by-step explanation:

2/3 +y =1/4

Subtract 2/3 from each side

2/3-2/3 +y =1/4-2/3

y = 1/4 -2/3

Get a common denominator

y = 1/4 (3/3) - 2/3 *4/4

  = 3/12 - 8/12

  =-5/12

or if

2/(y+3) = 1/4

Using cross products

y+3 = 2*4

y+3 = 8

y =8-3

y = 5

Answer:

y = -5/12

Step-by-step explanation:

2/3 + y = 1/4

y = 1/4 - 2/3

y = 3 - 8/ 12

y = -5/12