Each group member is permitted to consume one-third of a pizza. If there are twenty-four members in the group, how many pizzas should be ordered?

Answer:

79

Step-by-step explanation:

91 x 2 is 182. 340-182 is 158 divide by 2 and you get 79

Answer:

The width is 79 yards

Step-by-step explanation

Okay, so the perimeter of a shape is the sum of all the side-lengths of said shape. Because the shape is a rectangle, there are 4 sides (2 sides being the length, 2 sides being the width). This being said, the equation that can be used to find the perimeter is Perimeter = Length + Length + Width + Width or Perimeter = 2Length + 2Width. You would then plug in your given variables and solve for width. I have shown my work in the image below, I hope this is helpful :)

Answer:

21

Step-by-step explanation:

since its a rectangle there are two lengths of six. If you add them together you get 12. subtract the total perimeter of 54 by the 12 and get 42. Since there is 2 sides left divide by 2. You should get 21 for the width of the rectangle

Answer:

thats wrong

Step-by-step explanation:

Given:

Tracy invests $5,000 at 4.5% and the simple interest earned on the investment is moved into a separate account at the end of each year.

To Find:

The total simple interest accumulated in the checking account after 2 years.

Answer:

$450 is the total simple interest accumulated in the checking account after 2 years.

Step-by-step explanation:

The principal sum invested by Tracy is $5000.

The rate of simple interest is given to be 4.5% and the time period given is 2 years.

To calculate the total amount of interest accrued we use the formula

[tex]\frac{P.R.T}{100}[/tex]

where P is the pricipal amount of money, R is the rate of interest and T is the time period.

So, putting the given values into the formula, we have

[tex]\frac{(5000)(4.5)(2)}{100}\\\\=\frac{45000}{100}\\\\=450[/tex]

Thus, $450 is the total simple interest accumulated in the checking account after 2 years.

Her Pop music which started at 3 hours increases by 5% which is written as 0.05 as a decimal.

You need to multiply the number of hours of pop music by 5% every month to find the new total and then add that to the 2 hours of classical.

The equation would be: f(x) = 3(1.05)x + 2

Answer:

f(x) = 3(1.05)x + 2

Step-by-step explanation:

i took the test and got it right

The answer is x = 3, because x = 3 has an undefined slope (m = 0 or is imaginary), and it contains 3, 0 which makes 3, 0 a solution.

Answer: x=3

Step-by-step explanation:

The graph never crosses the y axis.

The point (3,0) is on the graph.

So are all points (3,y) with y any real number.

There can't be a slope because x never changes.

Answer:

4.1 years.  

Step-by-step explanation:

We have been given that The Lisbon’s new heat pump cost $4,500. They bought it to replace their old furnace and air  conditioner which cost about $2,800 a year to  run. The heat pump will save them approximately  39% a year.

Yearly cost was 2800 at first and the pump will save 39% of 2800. So annual saving with new heat pump will be:

[tex]\frac{39}{100}*2800=0.39*2800[/tex]

Let x be the number of years in which heat pump will pay for itself, so saving in x years will be:

[tex]0.39*2800*x[/tex]    

Now let us equate the savings by new heat pump with cost of heat pump to find the number of years (x).

[tex]0.39*2800*x=4500[/tex]

[tex]1092*x=4500[/tex]

[tex]x=\frac{4500}{1092}[/tex]

[tex]x=4.1208791208791209\approx 4.1[/tex]

Therefore, the heat pump will pay for itself in 4.1 years.

The heat pump will pay for itself in approximately 4.1 years.

To determine the number of years it will take for the heat pump to pay for itself, we need to calculate the annual savings from using the heat pump instead of the old furnace and air conditioner, and then divide the initial cost of the heat pump by these annual savings.

First, we calculate the annual savings by applying the 39% savings rate to the old cost of running the furnace and air conditioner:

Annual savings = 39% of $2,800

 = 0.39 * $2,800

 = $1,092

Now, we divide the initial cost of the heat pump by the annual savings to find out how many years it will take to recoup the cost:

Number of years to pay for itself = Initial cost of heat pump / Annual savings

 = $4,500 / $1,092

 = 4.12 years

Rounded to the nearest tenth, the heat pump will pay for itself in approximately 4.1 years.

To scale down Tom's photo with the original dimensions of 20 cm by 30 cm to a width of 5 cm, the new length should be 7.5 cm. This is calculated using a proportion that maintains the original aspect ratio.

To determine the new length that a photo should be when scaling down, we will maintain the ratio of the original width to the original length. Tom's photo has a width of 20 centimeters and a length of 30 centimeters. If he wants to reduce the width to 5 centimeters, we calculate the new length by setting up a proportion and solving for the missing value:

We set up the following proportion:
20/5 = 30/new length

To solve for new length, we cross-multiply:
(20) * (new length) = (5) * (30)

Then,
new length = (5 * 30) / 20

So,
new length = 150 / 20 = 7.5

Therefore, the new length that Tom should have for his wallet-sized photo is 7.5 centimeters when the width is 5 centimeters.

The lines j' and k' are parallel lines.

                Option: B is the correct answer.

We are given Line j ans Line k such that both are parallel to each other.

Now as we know that the translation transformation just change the position of the location but does not changes it shape.

As both the lines were parallel to each other so on translating both of them they just shifted some units to the right but the behavior remains the same.

Also, from the figure attached to the answer we may observe that the two lines are parallel to each other as the distance between the two lines at each point is constant.

            Hence, the correct answer is:

                       Option: B

Answer:

The zoo's daily supply of leaves is 500 kg leaves at most.

Each giraffe eats 24 kg leaves per day.

Step-by-step explanation:

We have been given an inequality: [tex]47E+24G\leq 500[/tex], where E represents the number of elephants and G represents the number of Giraffes. Every day, each giraffe eats the same amount of leaves, and each elephant eats 47 kg of leaves.

We can see that each elephant eats 47 kg of leaves per day, which is represented by 47E in our given inequality. The amount of leaves eaten by a giraffe is 24 kg, which is represented by 24G in our given inequality, therefore, each giraffe eats 24 kg leaves per day.

We can see that total amount of leaves eaten by E elephants and G giraffes is less than or equal to 500, which means that zoo's daily supply of leaves is at most 500 kg.

Answer:

1. Daily supply of leaves is 500 kg;

2. Each giraffe eats 24 kg of leaves per day.

Step-by-step explanation:

Let E represent the number of elephants and G represent the number of giraffes that the zoo can feed with its daily supply of leaves.

If each elephant eats 47 kg of leaves, then E elephants eat 47E kg of leaves.

Consider inequality

[tex]47E+24G \leq 500.[/tex]

The first term of this inequaliy represents the number of kilograms all elephants in zoo eat per day. The second term 24G represents the number of kilograms all giraffes in zoo eat per day. The sum 47E+24G represents the number of kilograms all elephants and giraffes in zoo eat per day (together). This amount of leaves should be less or equal than 500 kg. This means that all elephants and giraffes cannot eat more than 500 kg of leaves per day.

Final answer:

To find the population of Smallville and population density per square mile, divide the total population by the area of the town.

Explanation:

The population of Smallville:

Population of Smallville: 72450

Area of Smallville: 5 miles x 1 mile = 5 square miles

Population density in Smallville:

Population density = Population / Area = 72450 / 5 = 14490 people per square mile

Answer:

8x(4+z) and 32x+8z, = Not equivalent

9(g+h) and 9g+9h = Equivalent

Step-by-step explanation:

Answer:

(1)

Closed circle graph

(2)

Closed circle graph

Step-by-step explanation:

(1)

we are given

[tex]|x|=1[/tex]

we know that absolute value is always positive

so, we can write as

[tex]-x=1[/tex]

[tex]x=-1[/tex]

[tex]x=1[/tex]

So, value of x are

[tex]x=-1,x=1[/tex]

so, graph will be of closed circle

(2)

we are given

[tex]|x|=2[/tex]

we know that absolute value is always positive

so, we can write as

[tex]-x=2[/tex]

[tex]x=-2[/tex]

[tex]x=2[/tex]

So, value of x are

[tex]x=-2,x=2[/tex]

so, graph will be of closed circle

Answer:

|x| = 1

Closed circles on -1 and 1.

|x| = 2

Closed circles on -2 and 2.

(See attachments.)

Answer:

Area of triangle is 25.

Step-by-step explanation:

We have been given an isosceles right triangle

Isosceles triangle is the triangle having two sides equal.

Figure is shown in attachment

By Pythagoras theorem

[tex]BC^2=AC^2+AB^2[/tex]

AD is altitude which divides the triangle into two parts

DC=5 implies BC =10 since D equally divides BC

Let AC=a implies AB=a being Isosceles

On substituting the values in the Pythagoras theorem:

[tex]10^2=a^2+a^2[/tex]

[tex]100=2a^2[/tex]

[tex]\Rightarrow a^2=50[/tex]

[tex]\Rightarrow a=\pm5\sqrt{2}[/tex]

WE can find area of right triangle by considering height AB and AD

Area of triangle ABC is:

[tex]\frac{1}{2}\cdot BC\cdot AD[/tex]     (1)

[tex]\Rightarrow \frac{1}{2}\cdot 10\cdot AD[/tex]

And other method of area of triangle is:

[tex]\frac{1}{2}\cdot AB\cdot BC[/tex]       (2)

Equating (1) and (2) we get:

[tex]\frac{1}{2}\cdot 10\cdot AD=\frac{1}{2}\cdot a\cdot a[/tex]

[tex]\Rightarrow AD=\frac{a^2}{10}[/tex]

[tex]\Rightarrow AD=\frac{50}{10}=5[/tex]

Using area of triangle is: [tex]\frac{1}{2}\cdot BC\cdot AD[/tex]

Now, the area of triangle ABC=[tex]\frac{1}{2}\cdot 5\cdot 10[/tex]

[tex]\Rightarrow 25[/tex]

To find the sales tax on a $60 bill with a 5% rate, convert the percentage to a decimal (0.05) and multiply by the total amount ($60). The sales tax is $3.

The sales tax on a total bill can be calculated by converting the percentage rate of the sales tax into a decimal and then multiplying it by the total amount of the bill.

In this case, the total cost is $60 and the sales tax rate is 5%. First, convert 5% into a decimal by dividing it by 100, which gives us 0.05. Then, multiply this decimal by the total bill amount to find the amount of sales tax. The calculation would be as follows:

$60 × 0.05 = $3

Therefore, the sales tax for a $60 bill at a 5% rate is $3.

Answer:

x≥4

Step-by-step explanation

24+4x≥40. Subtract 24 from both sides to get 4x≥16. Divide both sides by 4 to get x≥4.

Answer:

it requires more than or equal to 4 tanks

Step-by-step explanation:

An elephant needs to drink at least 40 gallons of water each day. A drinking tank contains 4 gallons of water. The elephant has already consumed 24 gallons of water. How many more tanks x of water does the elephant need to drink? Write your answer as an inequality.

An elephant drinks 40 gallons of water

a tank contains 4 gallon of water

lets convert the 40 gallons of water to tanks,t

40/4=10t

the elephant has consumed 24 gallons already

it means it has consumed 24/4=6t

x=more tanks need to drink

xt+6t≥10t..................1

xt≥10t-6t

x≥4

it requires more than or equal to 4 tanks

The sum of the first ten terms in the geometric series 4 – 12 + 36 – 108 + ... will be the negative 59048.

The series is given below.

4 – 12 + 36 – 108 + …

The complete series wall be

4 – 12 + 36 – 108 + 324 – 972 + 2916 – 8748 + 26244 – 78732

Then the sum of the first ten terms in the geometric series will be

⇒ 29524 – 88572

⇒ – 59048

More about the sum of the geometric series link is given below.

https://brainly.com/question/2771750

#SPJ1

Answer:

The speed of the car is 42 miles per hour

Step-by-step explanation:

Step 1:

(Blank) x s = (Blank)

Let us evaluate this. Something times s miles per hour is going to gives us? 126 miles. So, our second blank would be 126 since that's our total:

(Blank) x s = 126

Step 2:

On the other hand, our first blank would be 3. Why? Because that's the amount of time it takes us to go 126 multiplied by s miles per hour; Our new equation is:

3 x s = 126

Step 3:

We can simplify this equation to:

3s = 126

Step 4:

We now have a one step equation. Divide each side by 3 to get s by itself.

[tex]\frac{3s}{3} =\frac{126}{3}[/tex]

Step 5:

We end up getting:

s = 42

That means that the car is traveling at 42 miles per hour. If the car continues at that rate for 3 hours, the car would have traveled 126 miles.

Hope this helps!

Answer:

3 X S = 126

Step-by-step explanation:

because the variable (s) is speed then we must know that 126 is tyhe total that it is driving in 3 hours so 3 time S is 126

Answer:

336$

Step-by-step explanation:

Given: Each invitation costs a total of 3$.

Given: There were a total of 112 invitations made.

So, the question is asking you to find the total amount spent making the invitations. To do so we need to find the product/sum. Product in mathematical terms is used to describe the answer to a multiplication problem. Sum on the other hand is used to describe the answer to an addition problem. Now you could just add, but multiplication is a better way of simplifying the problem. So instead of saying 3 + 3 + 3 + 3.. or 112 + 112 + 122, we say 122 x 3 = x.

Now that we've created the equation, we can find the answer.

122 x 3 = 336

Answer: Andri spent 336$ on materials for her invitations.

Good luck! c:

Answer:

184.85 square mm

Step-by-step explanation:

The area of a sector of a circle is [tex]\frac{1}{2} r^{2} \theta[/tex], where r is the radius and [tex]\theta[/tex] is the angle in radians subtended by the arc at the centre of the circle.

Since, diameter = 40.6 mm

So, radius(r)=20.3 mm and  [tex]\theta[/tex]=[tex]\frac{2 \pi}{7}[/tex] radians

So, area of sector= [tex]\frac{1}{2} r^{2} \theta[/tex]

=[tex]\frac{1}{2} (20.3)^2 (\frac{2 \times 3.14}{7})[/tex]

=184.85 square mm

The area of the sector using given data is equal to 184.96 mm².

The area of a sector with a central angle of 2π7 radians and a diameter of 40.6 mm.

To solve this, we need to find the radius of the circle, which is half the diameter, and then use the formula for the area of a sector, which is ½ ×r² × θ, where θ is the angle in radians.

First, find the radius: r = ½ × diameter = 0.5 × 40.6 mm = 20.3 mm.

Then, substitute the values into the formula for the area of a sector:

Area = ½ × (20.3 mm)² × (2π7)

        = 1/2 × (20.3)² × (2 × 3.14 /7)

        = 1/2 × 412.09 × 0.89714

        = 184.96 mm²

Rounded to the nearest hundredth, the area of the sector is 184.96 mm².

Answer: D) 93

The red arc that spans from point X to point Z is 186 degrees, half of which is 186/2 = 93 and this is equal to the inscribed angle XYZ. I'm using the inscribed angle theorem which says that the arc measure is two times the inscribed angle that cuts off the arc.

Answer:

Faulty question in my opinion. See below.

Step-by-step explanation:

The central angle = the arc angle in degrees. So the central angle is 186 degrees.

The angle XYZ is 1/2 174 87 because it is 1/2 the measurement of the minor  arc which is 174. That answer is not there unfortunately. The central angle must be on the same side as the arc measurement. The arc angle is on the opposite side of XZ. I would ask your instructor about this one.

Answer: Choice B

I'm assuming choice B shows the quantity (1-cos(60)) all over the quantity (1+cos(60)), and that is one big fraction under the square root.

The trig identity we'll use is what I'm showing in the attached images below. All we do is replace theta with 60 and that's all there is to it. An identity like that is either memorized or you will have it handy on a notecard or reference sheet.

Answer:

[tex]\pm \sqrt{\frac{1-\cos 60^{\circ}}{1+\cos 60^{\circ}}}[/tex]

Step-by-step explanation:

Tangent function is one of the trigonometric function such that [tex]\tan \theta =\frac{\sin \theta }{\cos \theta }[/tex]

Basically, we can also say that tangent function is ratio of side opposite to the angle and side adjacent to the angle.

Given: [tex]x=60^{\circ}[/tex]

We need to rewrite [tex]\tan \left ( \frac{x}{2} \right )[/tex].

As [tex]\tan \left (x \right )=\pm \sqrt{\frac{1-\cos 2x}{1+\cos 2x}}[/tex]

As we need to express [tex]\tan \left ( \frac{x}{2} \right )[/tex], divide angle by 2, we get,

[tex]\tan \left ( \frac{x}{2} \right )=\pm \sqrt{\frac{1-\cos x}{1+\cos x}}[/tex]

At [tex]x=60^{\circ}[/tex],

[tex]\tan \left ( \frac{60^{\circ}}{2} \right )=\pm \sqrt{\frac{1-\cos 60^{\circ}}{1+\cos 60^{\circ}}}[/tex]

Answer:

A, B, C, D

Step-by-step explanation:

A polynomial is 2 or more terms connected by operations where at least one has a variable with a power or exponent. Each has two or more terms with variables with a power. We can rewrite square roots and fractions as an exponent power.

Answer:

option:B

Step-by-step explanation:

on saturday the number of ice-cream cones sold are 8x+16

on sunday the number of ice cream cones sold are 7x-9

so the total number of ice cream cones sold are=number of ice cream cones sold on saturday+number of ice cream cones sold on sunday

=8x +16+7x-9

=15x+ 7

hence option B is correct.

Answer:

B. 15x + 7

Step-by-step explanation:

We are given that,

The number of ice-creams sold on Saturday = 8x + 16 and

The number of ice-creams sold on Sunday = 7x - 9

Therefore,

The total number of ice-creams sold = Number of ice-creams sold on Saturday + Number of ice-creams sold on Sunday

i.e. Total number of ice-creams = (8x+16)+(7x-9) = (8x+7x)+(16-9) = 15x + 7

Hence, the total number of ice-creams sold is 15x + 7.

(x, y) → (x, y + n) - translate the graph n units up

(x, y) → (x, y - n) - translate the graph n units down

(x, y) → (x - n, y) - translate the graph n units left

(x, y) → (x + n, y) - translate the graph n units right

---------------------------------------------------------------------------

Look at the picture.

(x, y) → (x - 5; y + 4)

Answer:

[tex]\frac{1}{2} QP = UT[/tex]

Step-by-step explanation:

We are given  a ΔPQR  in which S is the mid point of QP  , T is the mid point of  QR , U is the mid point of PR

i) is true

⇒ [tex]\frac{1}{2} QP = UT[/tex]

Using mid segment theorem which states that In a triangle, the line joining the midpoints of any two sides will be parallel to the third side and that same line joining the midpoints is also half of length of third side .

So, by refering image we can see that UT is the line joining the two mid points . So, by using above theorem    1/2QP=UT and UT is parallel to PQ

Thus, (i) statement is true

⇒[tex]\frac{1}{2} QP = UT[/tex]

Answer:

it's A and D

Step-by-step explanation:

Answer:

B.4.47

Step-by-step explanation:

The equation to calculate the distance between two points is

D=[tex]\sqrt{(x_{1}-y_{1}  )^{2}+(x_{2}-y_{2}  )^{2 }[/tex]

here

[tex](x_{1},y_{1})=(-1,5)\\(x_{2},y_{2})=(3,7)[/tex]

substituting the values

[tex]\sqrt{(-1-3)^{2}+(5-7)^{2}  }[/tex]

[tex]\sqrt{(-4)^{2}+(-2)^{2}  }[/tex]

[tex]\sqrt{20}[/tex]

[tex]\sqrt{20}=4.47[/tex]

Answer:

Each of them need to pay to buy a whole pie together = $1.50

Step-by-step explanation:

Unit rates defined as the rates are expressed as a quantity of 1, such as 7 feet per second or 9 miles per hour, they are called unit rates.

As per the statement: You sell pies at a farmers' market for $7.50 each.

⇒ Cost of each pie = $7.50

Also, five people want to share a pie by splitting the cost equally.

Number of people = 5

then, by definition of unit rate;

unit rate per people = [tex]\frac{Cost of whole pie}{Number of people} = \frac{7.50}{5} = \$1.50[/tex]

Therefore, $1.50 will each of them need to pay to buy a whole pie together.

Each person needs to pay $1.50.

Calculating Individual Payments for a Shared Pie

If five people want to share a pie by splitting the cost of $7.50 equally, we need to divide the total cost by the number of people to find out how much each person will pay. To do this, we take $7.50 and divide it by 5. This calculation gives us:

$7.50 / 5 = $1.50

Therefore, each of the five people will need to pay $1.50 to buy the whole pie together. This allows them to split the cost equally and purchase the pie at the farmers' market.