Mathematics High School

4. If 24 cans of soup will feed 72 people, how many cans are
needed to serve 39 people?

Answers

Answer 1

Answer:

24 cans=72 people

1 people = 24÷72 cans

39 people = 24÷72×39 cans

=13 cans

Related Questions

A restaurant customer left $1.05 as a tip. The tax was 8% and the tip was 15% of the cost including tax.
a. Which information is not needed to compute the bill after tax and tip?
b. What was the total bill?

Answers

well, the bill was actually "x", which oddly enough is the 100%, but we also know that the tip was $1.05 and that's 15% of the whole bill plus tax.

so if we know that 1.05 is 15% of "x", what the dickens is "x"?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 1.05 & 15\\ x& 100 \end{array} \implies \cfrac{1.05}{x}~~=~~\cfrac{15}{100} \\\\\\ 105=15x\implies \cfrac{105}{15}=x\implies 7=x[/tex]

well, as you can see, we know the tax was 8%, but, it doesn't really matter if it had been 25% or who knows, so long we know that 1.05 is 15% of the whole smack.

At Simba Travel Agency, the price of a climbing trip to Mount Kilimanjaro includes an initial fee plus a constant fee per meter.

F represents the fee (in dollars) for climbing d meters.

F=110+0.12d
What is the increase in price for every 100 meters climbed?

Answers

Answer:

$12

Step-by-step explanation:

You want to know the price increase per 100 meters if the fee for climbing d meters is ...

f = 110 + 0.12d

Rate of change

The rate of change indicated by the coefficient of d in the equation is 0.12 for each unit of d. Then the amount of change for 100 units of d is ...

0.12(100) = 12

The price increases by $12 for every 100 meters climbed.

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Math To Do, -Ready
Interactive Practice: Work with Scientific Notati
-) Multiply. Write your answer using scientific notation.
(2 × 10 ) × (3.1 × 10¹⁰) = ||
X ?

Answers

6.2 × [tex]10^{11}[/tex] is the result after multiplying the terms (2 × 10 ) × (3.1 × 10¹⁰).

We are provided with the equation mentioned below:

(2 × 10 ) × (3.1 × 10¹⁰) equation 1

We were asked to multiply the terms mentioned in the above equation using scientific notation. The steps to simplify the above mentioned equation are written below;

(2 × 10 ) × (3.1 × 10¹⁰)

Separately write similar terms first as shown below,

= ( 2 × 3.1 ) × ( [tex]10^{1}[/tex] × [tex]10^{10}[/tex] )

Now multiply the similar terms as written below;

= 6.2 × [tex]10^{(1 + 10)}[/tex]

Add powers of 10, we get

= 6.2 × [tex]10^{11}[/tex]

Thus, the solution of the given equation is 6.2 × [tex]10^{11}[/tex].

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Eric orders 3 large cheese pizzas. There is a $2 delivery fee for each pizza. He pays a total of $42. Which equation can be used to find the price, r, of each pizza?

Answers

we have that he paid 4 dollars due the delivery. So each pizza costs

[tex]\frac{38}{2}=19[/tex]

so the equation to find the price r is

[tex]r=\frac{42-4}{2}[/tex]

Angel buys cookies and lemons at the store.
He pays a total of $29.80.
He pays a total of $6.25 for the cookies.
• He buys 5 bags of lemons that each cost the same amount.
How much does each bag of lemons cost?

Answers

The cost of each bag of lemons is $4.71

How to calculate the cost of each bag of lemon ?

Let y represent the cost of lemon

Angel pays $29.80 for both the cookies and lemon

He pays a total of $6.25 for the cookies

He buys 5 bags of lemons

The equation can be expressed as

6.25 + 5y= 29.80

collect the like terms

5y= 29.80-6.25

5y= 23.55

divide by the coefficient of y which is 5

y= 23.55/5

y= 4.71

The result of y from the equation is 4.71

Hence each bag of lemon costs $4.71

Answers

Answer:

-4/15 - 17

negative 4 over 15 plus negative 17

Step-by-step explanation:

2/3g - 5 - 11/15g - (1/5g +12)

Your wording is extremely confusing but I tried :]

-4/15 - 17

is the correct answer (I think)

The required simplified value of the given expression is -4/15 - 17.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
2 over 3 times g minus 5 minus 11 over 15 times g minus the expression one over 5 times g plus 12 is given as

= 2/3g - 5 - 11/15g - (1/5g +12)

Adding the alike terms,
= 2/3g -11/15g -1/5g -5 -12
= [10 - 11 -3] /15 g - 17
= -4g/15 -17

Thus, the required simplified value of the given expression is -4/15 - 17.

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Is √3 rational?

I’m trying to figure out is the question above rational

Answers

Answer:

The square root of 3 is an irrational number if that's what you were asking

The square root of 3 is an irrational number.

In a survey of 1,900 people who owned a certain type of car, 855 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?

Answers

Answer: 45%

Step-by-step explanation: 45% of 1,900 is 855

Is it possible for consecutive interior angles to be congruent?

Answers

No, It is not possible for consecutive interior angles to be congruent.

If the transversal line crosses the two lines as parallel to one another, the consecutive interior angles are supplementary rather than congruent and add up to 180 degrees.

Parallel internal angles are additional (the consecutive interior angles postulate) External angles that follow each other are supplemental (the consecutive exterior angles theorem) Congruent alternate interior angles (the alternate interior angles theorem)

What are consecutive interior angles?

The pair of non-adjacent internal angles that are located on the same side of the transversal are referred to as consecutive interior angles. The term "consecutive" describes events that take place side by side. On the internal side of a transversal, two consecutive interior angles are situated next to one another.

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PLEASE HELP FASTTT ILL MARK BRAINLIEST

Answers

Answer:

[tex]2\sqrt{2}[/tex]

Doing RSM I see... lol gl. (tell me if this is wrong, I'll correct it if it is) :]

Step-by-step explanation:

h(6)=2

g(2) = [tex]\sqrt{2\\}[/tex]

f(sqrt2) = [tex]2\sqrt{2}[/tex]

Mrs. Gomez earns $19.50 per hour and gets a 5% raise. Use compatible numbers to estimate her new hourly rate.

Answers

The new hourly rate using compatible numbers is $21.

Given,

The earnings of Mrs. Gomez = $19.50 per hour

She gets a raise of 5%

We have to estimate her new hourly rate by using compatible numbers.

Compatible numbers:

Compatibility in mathematics refers to the mental ease with which a number can be added, subtracted, multiplied, or divided. Compatibility refers to the proximity of the compatible numbers to the real numbers, which facilitates estimation of the solution and simplifies problem-solving.

So,

Compatible number of 19.50 is 20.

The amount raised = 20 × 5/100 = 5/5 = $1

Now, the new hourly rate = 20 + 1 = $21.

That is, the new hourly rate using compatible numbers is $21.

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Write $5 and $8 in algebra expression

Answers

Answer:

5+8=x

step by step explanation

In a solar system, two comets pass near the sun, which is located at the origin. Comet E is modeled by quantity y plus 16 end quantity squared over 400 plus x squared over 144 equals 1 and Comet H is modeled by quantity y plus 13 end quantity squared over 144 minus x squared over 25 equals 1 comma where all measurements are in astronomical units.

Part A: What are the vertices for the path of Comet E? Show your work. (4 points)

Part B: Which comet travels closer to the sun? Give evidence to support your answer. (5 points)

Part C: What key feature does the sun represent for both comets? Give evidence to support your answer. (6 points)

Answers

The vertices of the path of the comet E are; (-12,0) and (+12,0) as it is moving an elliptical path.

What are the vertices of the path of the comet E?

Comet 'E' is modeled by

((y + 16)²)/400 + (x²)/144 = 1

This is an equation of an ellipse. So, the path traveled by Comet E will be an elliptic path.

Comparing with the equation of ellipse;

((y - k)²)/(b²)+ ((x - h) ²)/(a ²) = 1

whose; Centre is (h,k) and Vertex is (h±a, 0)

On Comparing Centre (h, k), h= 0 and k = -16,

a²=144

a = 12

b²=400

b=20

So, Centre (0, -16),

The Vertex (-12,0) and (+12,0)

So, the vertices of the path of the comet E are; (-12,0) and (+12,0).

Part B: The path of Comet H has been modeled as; a horizontal hyperbola.

Thus, The Comet H travels closer to the sun.

Part C: The sun represents the one of the foci of both the Comet E and Comet H.

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Suppose Alex wants to kick a ball over a 10-foot fence. Assuming that gravity has no effect, at what angle would he have to kick the ball if he were standing 6 feet away from the fence?

a.
36.9°
c.
53.1°
b.
59.0°
d.
31.0°

Answers

You would take Alex's distance from the fence, which is 10 feet, and the length of the fence to get the angle.

Finding the angle using the right triangle's trig formulas, sine, cosine, or tangent

neighboring side = 6 feet

obverse side = 10 feet

employ a tangent because

[tex]tan^{-1}\frac{opposite}{adjacent} = tan^{-1}\frac{10}{6} = 59.0[/tex]

About Right triangle's

The formula for a right triangle's area, perimeter, and hypotenuse length are all included in the formula for a right triangle.

In geometry, there are several figure kinds that are distinguished from one another by their unique characteristics. A triangle is one of the shapes they frequently use. A triangle is a closed, three-sided polygonal shape. It has three vertices and three sides that contain the triangle's three interior angles. A triangle's three inner angles always add up to 180 degrees.

Equilateral, isosceles, scalene and right-angled triangles are the most typical triangle types we examine. The right triangle formula, commonly known as the right-angled triangle formulae, will be discussed in this section.

Any interior angle that is 90 degrees in length is said to be in a right triangle. It should be remembered that only one of the three angles may be a right angle because the total interior angle of a triangle is 180 degrees.

Continue reading: Right Angle Triangle

The triangle is referred to as an isosceles right-angled triangle if the other two angles are equal, or 45 degrees each. A scalene right-angled triangle, on the other hand, results from the other two angles being uneven.

Trigonometry is where right-angled triangles are used the most frequently. In reality, trigonometry's foundation is the relationship between its angles and sides.

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please help asap
during a snow storm the temperature drops from 0 degress f to - 12 degress f in 3 hour. on averge by how many degress is the temperature changing per hour?

A, -4f

B. 12f

C. 15f

D. -9f

Answers

The average change per hour is: -4 F/h

So the temperature decreases by 4 degrees Fahrenheit each hour.

How to get the average change in temperature?

To get the average change in degrees per hour, we need to take the quotient between the change in temperature and the number of hours in which this happens.

We know that initially the temperature is 0F

The final temperature is -12F

and this happens on an interval of 3 hours, then the average change per hour is:

(-12F - 0F)/3h = -12F/3h = -4 F/h

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12. x=lyl with inputs x = 1, x = 2, and x
3

Answers

If x=lyl with inputs x = 1, x = 2, and x = 3 then y = ±1, y = ±2, and y = ±3.

To solve this problem we have to learn about the modulus operator and absolute value.

What is absolute value?

Absolute value is the distance of a number from zero.

Example: for -12, the distance from 0 is 12. Therefore 12 is the absolute value of -12.

What is the mod operator?

A Mod operator is a mathematical device that converts all types of integers into a positive integer or it finds the absolute value.

Now, we have to find values.

x=lyl Or, 1 = |y| or, we can say the absolute value of y is 1. y may be ±1x=lyl Or, 2 = |y| or, we can say the absolute value of y is 2. y may be ±2x=lyl Or, 3 = |y| or, we can say the absolute value of y is 3. y may be ±3

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Choose the best initial step in solving the following system by substitution.
2x + 3y = –12
6x + y = 18
Answers:
1.Solve the first equation for x.
2.Solve the first equation for y.
3.Solve the second equation for x.
4.Solve the second equation for y.

Answers

Answer:

I think you have to first solve the first equation for y.

Answer choice: 3.

Step-by-step explanation:

Hope this helps! :)

how does y sqaured eqaul 169

Answers

Answer:

Step-by-step explanation:

A number squared is just a number multiplied by itself.

13 x 13 is 169.

Answer is 13.

Hope this helps!

P.S, Brainliest, please, thanks!

x = -4z - 19
y= 5x + z - 4
-5y - z = 25

Answers

Answer:

x = 1, y = -4, z = -5

Step-by-step explanation:

Solve the following system:

{x = -4 z - 19 | (equation 1)

{y = z + 5 x - 4 | (equation 2)

{-z - 5 y = 25 | (equation 3)

Express the system in standard form:

{x + 0 y + 4 z = -19 | (equation 1)

{-(5 x) + y - z = -4 | (equation 2)

{0 x - 5 y - z = 25 | (equation 3)

Swap equation 1 with equation 2: