You and three friends are eating a pizza with 12 pieces. Each person eats the same number of pieces. Let x represent the number of pieces each person eats. Which of the following equations is an algebraic model for the situation?

a. 3x= 12
b. 1/3x=12x
c. 4x =12
d. 1/4x=12

Answer:

90

Step-by-step explanation:

Be sure to use PEMDAS. Begin with parentheses, the move to multiplication, then adding.

20 + 3(7 + 4) + 5 + 2(7+9)

20 + 3(11) + 5 + 2(16)

20 + 33 + 5 + 32

You can add those final four numbers in any order you want, to get a sum of 90.

Answer:

Your answer will be 90

Step-by-step explanation

First you will have to answer what's inside the parentheses

7 + 4 = 11 , 7 + 9 = 16

Then you multiply what is next to the parentheses

3×11 = 33, 2×16 = 32

Finally you will have to add

20 + 33 =53

53 + 5 =58

58 + 32 = 90

The point is doing PEMDAS

P=Parentheses

E= Exponent

M= Multiplication

D= Division

A= Addition

S= Subtraction

Answer:

Answer is attached below :)

(It's the 4th option)

(❁´◡`❁)

Answer:

It's very easy mate!

Step-by-step explanation:

Ninty eight thousand seven hundred fifty three

that is 98753 in no.s

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

               [tex]\boxed{98753 }[/tex]    

In word form = Ninety eight thousand seven hundred fifty three

In Number form.= 98753

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{15 \: units}}}}}[/tex]

Step-by-step explanation:

Given,

A( -5 , 4 )⇒ ( x₁ , y₁ )

B ( 7 , -5 )⇒ ( x₂ , y₂ )

Finding distance between these two points

[tex] { \boxed{ \sf {{ distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2}}}}}}[/tex]

plug the values

[tex] \sf{ = \sqrt{ {(7 - ( - 5))}^{2} + {( - 5 - 4)}^{2} } }[/tex]

[tex] \sf{ = \sqrt{ {(7 + 5)}^{2} + {( - 5 - 4)}^{2} } }[/tex]

Calculate the sum

[tex] \sf{ = \sqrt{ {12}^{2} + {( - 9)}^{2} } }[/tex]

Evaluate the power

[tex] \sf{ = \sqrt{144 + 81} }[/tex]

Add the numbers

[tex] \sf{ = \sqrt{ 225} }[/tex]

Calculate

[tex] \sf{ = 15 \: units}[/tex]

Hope I helped!

Best regards!!

Answer:

Step-by-step explanation:

The point-slope form of the equation can be used for this. It is generally written as ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

__

1. For m=-7, (h, k) = (-3, 5), the equation is ...

  y -5 = -7(x +3)

__

2. For m=0, (h, k) = (4, 7), the equation is ...

  y -7 = 0(x -4)

  y = 7

_____

Comment on the form of the answer

Since a point and slope are given, "the equation" is appropriately written in point-slope form. For the second problem the simplified version would be ...

  y -7 = 0

Sometimes, "the equation" means the answer is expected in slope-intercept form. In that case, a little rearranging is necessary for the first answer. It becomes ...

  y = -7x -16

There are perhaps a dozen different forms that a linear equation can be written in. Considering those, "the equation" is somewhat ambiguous. Your curriculum materials may offer a clue as to the form intended.

Answer:

x = 10     x = -2

Step-by-step explanation:

(x-4)^2 -28 = 8

This is a parabola on the left and a constant line on the right.  The parabola will cross the line twice, so there will be two solutions

see attached

Add 28 to each side

(x-4)^2 -28+28 = 8+28

(x-4)^2  = 36

Take the square root of each side

sqrt((x-4)^2) = ±sqrt(36)

x-4 = = ±6

Add 4 to each side

x-4+4 = 4±6

x = 4+6    x = 4-6

x = 10     x = -2

Answer:

x = 10, and x = - 2

Step-by-step explanation:

This equation has two solutions, as it resembles a quadratic equation. When graphed it will be a parabola, and hence intersects the x - intercept at two points, giving us two solutions.

Let's start by expanding the equation,

(x - 4)² - 28 = 8,

(x - 4)² = 28 + 8,

(x - 4)² = 36,

x - 4 = √36, and x - 4 = - √36

x - 4 = 6, and x - 4 = - 6

Solution(s) : x = 10, and x = - 2

Answer: Hello!

-2-(-5) can also be written as -2 + 5.

When subtracting a negative, you're essentially adding, because you are subtracting a negative value. So we would add 5 to -2.

Hope this helps!

Equivalent expressions are expressions that have the same values.

The result of [tex]\frac{18}{3} - 7 + 2 \times 5[/tex] is 9

The expression is represented as:

[tex]\frac{18}{3} - 7 + 2 \times 5[/tex]

Using BODMAS, we start by dividing 18 by 3

[tex]\frac{18}{3} - 7 + 2 \times 5 = 6 - 7 + 2 \times 5[/tex]

Evaluate the products of 2 and 5

[tex]\frac{18}{3} - 7 + 2 \times 5 = 6 - 7 + 10[/tex]

Evaluate the sum of -7 and 10

[tex]\frac{18}{3} - 7 + 2 \times 5 = 6 + 3[/tex]

Evaluate the sum of 6 and 3

[tex]\frac{18}{3} - 7 + 2 \times 5 = 9[/tex]

Hence, the result of [tex]\frac{18}{3} - 7 + 2 \times 5[/tex] is 9

Read more about equivalent expressions at:

https://brainly.com/question/2972832

Answer:

75%

Step-by-step explanation:

Percentage of total spent on fruit = (39/52)×100%

= 0.75×100%

= 75%

Step-by-step explanation:

To solve for n, we need to isolate the variable n.

Multiply both sides of the equation by 3 to cancel out the 3 on the left side, and multiply 3 by 16 to get our final answer.

[tex]\frac{n}{3}*3=n\\16*3=48[/tex]

Our final answer: n = 48

Answer:

The car reaches a stop after 8.75 seconds have passed.

Step-by-step explanation:

Answer:

34.60°

Step-by-step explanation:

[tex] \tan \theta = \frac {40}{58}[/tex]

[tex] \tan \theta = 0.689655172[/tex]

[tex] \theta =\tan^{-1} 0.689655172[/tex]

[tex] \theta =34.592288671\degree [/tex]

[tex] \theta =34.60\degree [/tex]

Answer:

[tex]\Large \boxed{\theta = 34.59228868\°}[/tex]

Step-by-step explanation:

tan(θ) = 40/58

To isolate theta (unknown angle), we must take the inverse tangent of both the sides.

tan^-1(tan(θ)) = tan^-1(40/58)

The inverse tangent and tangent cancels.

Simplify the equation.

θ =  tan^-1(20/29)

θ = 34.59228868°

The members of one possible set C ={4,5,8,10}

Answer:

[tex]t=\dfrac{f-v}{a}[/tex]

Step-by-step explanation:

The equation that represents the final velocity of an object is given by :

f=v+at ....(1)

v is initial velocity

a is acceleration rate

t is time

We need to solve the above equation for t.

Subtracting both sides of equation (1) by v

f-v=v-v+at

f-v=at

Dividing both sides of the above equation by a

[tex]\dfrac{f-v}{a}=\dfrac{at}{a}\\\\t=\dfrac{f-v}{a}[/tex]

So, the value of t is [tex]\dfrac{f-v}{a}[/tex].

Answer:

the answer is A

i am doing the assignment right now and i got it correct

Answer:

C

Step-by-step explanation:

[tex]\frac{3-\sqrt{3} }{3+\sqrt{3} } *\frac{3-\sqrt{3} }{3-\sqrt{3} } \\\\=\frac{(3-\sqrt{3})^{2} }{(3+\sqrt{3} )(3-\sqrt{3} )} \\\\=\frac{9-2*3\sqrt{3}+3 }{9-3}\\\\=\frac{12-6\sqrt{3} }{6} \\\\=2-\sqrt{3}[/tex]

Answer:

[tex]\huge\boxed{Option \ A}[/tex]

Step-by-step explanation:

a) 11 + 2x

[More than => Addition, Sum]

b) [tex]\frac{5}{x} - 2[/tex]

[Quotient => Division, Less than => Subtraction ]

c) 4(x+8)

[Product => Multiplication and it says that there are two terms to be multiplied]

1 => 4 and 2 => (x+8)

Where they are multiplied, they are written as:

=> 4(x+8)

Answer:

Step-by-step explanation:

g(x) = x² - 2x - 6

h(x) = 2x² - 5x + 2

To find (h-g) (-2) we must first find h - g(x)

To find h - g(x) subtract g(x) from h(x)

We have

To find (h-g) (-2) substitute the value of x that's - 2 into (h - g)(x) that's replace every x in (h - g)(x) by - 2

That's

We have the final answer as

Hope this helps you

You need to find the GCF (greatest common factor) of 45 and 90, which is 45.

45 times ? gets you 45

? would be 1

45 times 1 equals 45.

45 times ? gets you 90

? would be 2

45 times 2 equals 90

45(1+2) = 45+90 = 135

♡ Hope this helps! ♡

❀ 0ranges ❀

Answer:

45(1 + 2)

Step-by-step explanation:

To find the greatest common factor, we find the multiples of 45 and 90.

45: 1, 3, 5, 9, 15, 45

90: 1, 2, 3, 5, 6, 9, 15, 18, 45...

The easier way to do this is divide 90 by 2 to get our GCF, 45.

We place the 45 (GCF) in the first box and we place 1 and 2 in the parentheses because when you distribute, we get our original answer.

45(1 + 2)

Answer:

C

Step-by-step explanation:

To find the volume, we can multiply the area of the base by the height. The base is a triangle so its area is (4 * 3) / 2 = 6 and the height is 8 so the volume is 6 * 8 = 48 in³.

Answer:

C.  Vol = 48 in³

Step-by-step explanation:

Vol = base area of a triangle x height.

Vol = ( 1/2 * 3 * 4 ) x 8

Vol = 48 in³

Answer:

10 miles away

Step-by-step explanation:

If she travels at only 20 miles per hour, and half of one hour is 30 minutes, then you would divide the amount of miles (20) by 2 to get 10. I'm sorry this isn't the best explanation, but I hope you understand what I am trying to say :((

The required quotient would be 66 8/25 or 66.32 which is determined by dividing 1,658 by any divisor 25.

A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

* Multiplication operation: Multiplies values on either side of the operator

For example 12×2 = 24

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

We have to determine the quotient.

⇒ 1,658 ÷ 25

Apply the Division operation, and we get

⇒ 1,658 / 25

⇒ 66.32

⇒ 66 8/25

Therefore, the required quotient would be 66 8/25 or 66.32.

Learn more about the quotient here:

brainly.com/question/27796160

#SPJ5

Answer: The area of the enlargement is 315cm.

Step-by-step explanation:

If the picture has 35cm as the area and it has a length of 7cm  then we can find the width by dividing the area by the length.

w= 35/7

w =  5      

So in this care the width of the picture in 5cm.

Now is saying that the picture's length has been enlarge or been dilated to 21 cm. To get from 7cm to 21cm you will have to multiply  by 3.  

In this situation, we will have to multiply the original picture's width by 3 to find it enlargement.

w= 5*3 = 15  

The width is 15cm and the length is 21cm so multiply them to find the area.

A = 15 * 21

A = 315cm

Answer:

x = 75

Step-by-step explanation:

Triangle BDH

The angle must add to 180 degrees

36+ 39 + DHB = 180

75 + DHB = 180

DBH = 180-75

DHB = 105

DBH + x = 180 since it is a straight line

105+ x = 180

x = 75

Answer:

11hr 20 phone calls

Step-by-step because Maggie earns money from working at the pet store and answering phones. She earns $10 each hour she works at the pet store and $0.25 for each phone call she answers. Maggie answered 60 phone calls and earned $115 last week.

Answer:

The unit rate is 2 feet per year

Step-by-step explanation:

The graph is missing (See attachment)

To determine the unit growth;

First, we have to pick any two corresponding on the x and y axis

When x = 5; y = 10

When x = 1; y = 2

These can be represented as;

[tex](x_1,y_1) = (5,10)[/tex]

[tex](x_2,y_2) = (1,2)[/tex]

Next, is to determine the slope using;

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Substitute values for x and y

[tex]m = \frac{2 - 10}{1 - 5}[/tex]

[tex]m = \frac{-8}{-4}[/tex]

[tex]m = 2[/tex]

Hence, the unit rate is 2 feet per year

Answer:

the unit rate is 2ft per year i got 100% on a quiz for this

Answer:

A

Step-by-step explanation:

So we have the function:

[tex]f(x)=\frac{3+x}{x-3}[/tex]

And we want to find:

[tex]f(a+2)[/tex]

To do so, substitute in (a+2) for x:

[tex]f(a+2)=\frac{3+(a+2)}{(a+2)-3}[/tex]

Simplify the numerator and denominator. Add 2 and 3 in the numerator. Subtract in the denominator:

[tex]f(a+2)=\frac{5+a}{a-1}[/tex]

The answer is A.

Answer:

[tex]\Large \boxed{\mathrm{A}}[/tex]

Step-by-step explanation:

[tex]\displaystyle f(x) = \frac{3+x}{x-3}[/tex]

For f(a + 2), the input for the function f(x) is (a + 2).

Replacing x with (a + 2).

[tex]\displaystyle f(a+2) = \frac{3+(a+2)}{(a+2)-3}[/tex]

Simplify the rational function.

[tex]\displaystyle f(a+2) = \frac{(3+2)+a}{a+(2-3)}[/tex]

[tex]\displaystyle f(a+2) = \frac{5+a}{a-1}[/tex]

Answer:

Her velocity is 95 km/hour

Step-by-step explanation:

The given information includes;

The direction to which Anna was driving = Eastward

Her initial location on the journey = 570 kilometres west of her her exit

The distance she drove in 2 hours = 1/3 of the way to her exit

Therefore, the distance she drove in 2 hours = 1/3×570 = 190 m

Her velocity = Her distance covered/(The time it take to cover the distance)

Which gives;

Her velocity = (190 km)/(2 hours) = 95 km/hour

Her velocity = 95 km/hour.

Answer:

9.3 + b = 14.5

Step-by-step explanation:

We are learning about perimeter.

Look for the formula of the perimeter,

P = a + b + c

The question states "The longest side is twice that of the shortest side."

A is the longest side while b is the shortest side.

The shortest side equation would be found below :

6.2 = 2c

c = 3.1

Making a completion of the longest side :

14.5 = 6.2 + 3.1 + b

14.5 + 9.3 + b

Answer:

B.)

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

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