At a school camp there is enough foot for 150 students for 5 days.
Q: How long would the food last if there were only 100 students?

Answers

Answer 1

Answer:

Step-by-step explanation:

you need to find how much food is used for 1 person then times that answer by 100 to find how much food is needed


Related Questions

tiệm cận ngang của đồ thị y= 2-x/x+3

Answers

tiệm cận ngang của đồ thị 3/x+3

which geometric figures are shown in the diagram​

Answers

Answer:

A circle to start off, encompassing almost the entire figure, then a triangle, with D, A and C as its vertices, then a fan (a sector of a circle), with C, E and B as its vertices. Next, a chord (DA) which serves as a line segment at the same time, and finally three rays, starting from C and ending in A, B and E respectively. In total, six geometric figures.

Step-by-step explanation:

Hope this helped!

25 points!!!!!!!!

Solve the system of equations.
4x + 3y + 5z = 6
6x + 8y + 62 = 4
4x + 2y + 62 = 8

please select the best answer from me the choices provided
a. (x = 1, y = - 1,2 = 1)
b. (x = 3, y = -3, z = 3)
(x = 0, y = 0, z = 2)
d. (x = 2, y = -2, z = 0)

Answers

Answer:

A is your answer, my guy

Step-by-step explanation:

4x1=4

3x-1=-3

5x1=5

4+(-3)+5=6

6x1=6

8x-1=-8

6x1=6

6+(-8)+6=4

4x1=4

2x-1=-2

6x1=6

4+(-2)+6=8

HELP FAST PLS
Factor x2 - 7x + 8.
O (X + 8)(x - 1)
O Prime
O (x - 3)(x - 1)
O (X + 8)(x + 1)

Answers

The answer should be prime. You can’t factor that polynomial

Will Mark Brainlest help please​

Answers

Answer:

g(-1 )=-1 and g(2)+g(1)=7

Step-by-step explanation:

If g(x) = x^3+x^2-x-2 find g(-1)

if we find g(-1)

we substitute all the x's in the function with -1

-1^3+-1^2-(-1)-2

-1^3 = -1

-1^2 = 1

-1+1+1-2

(two minuses make a plus)

-1+1 = 0

0+1 = 1

1-2 = -1

if x=-1, g(-1) is -1

g(2)+g(1)

substitute the x's in the function with 2 and 1 and add your results

2^3+2^2-2-2

2^3 = 8, 2^2 = 4

8+4-2-2

8+4= 12, 12-2 = 10, 10-2 = 8

g(2)=8

g(1) now

1^3 + 1^2-1-2

1^3=1, 1^2 = 1

1+1-1-2

1+1 = 2, 2-1 = 1, 1-2 = -1

g(3) = -1

g(2) (which equals 8) + g(3) (which equals -1) =

8+(-1) = 7

g(2)+g(3)=7

What equation is always true?

Answers

Answer: 4)

Step-by-step explanation: angles 2 and 3 equal 7 because they are both missing angle 4 to make it either 180 degrees or 360 degrees respectively.

The sequence is defined recursively. Write the first four terms.

a 1 = -10; a n = n - a n - 1

Answers

Answer:

-10, 12, -9 and 13

Step-by-step explanation:

Given the recursive sequence

a1 = -10

an = n - an-1

a2  = 2 - a1

a2 = 2  - (-10)

a2 = 2+10

a2 = 12

a3 = 3 - a2

a3 = 3  - (12)

a3 = -9

a4  = 4 - a3

a4 = 4  - (-9)

a4 = 4+9

a4 = 13

Hence the first 4 terms are -10, 12, -9 and 13

Please help so urgent

Answers

Answer:

Option E. None of the above.

Step-by-step explanation:

From the question given above, the following data were obtained:

f(x) = (x – 5)/(2x + 3)

Inverse of f(x) => f¯¹(x) =?

Recall:

When a function f(x) is multiplied by it's inverse f¯¹(x), the result is equal to 1 i.e

f(x) × f¯¹(x) = 1

With the above information, we can determine the inverse of function given above as follow:

f(x) = (x – 5)/(2x + 3)

Inverse of f(x) => f¯¹(x) =?

f(x) × f¯¹(x) = 1

(x – 5)/(2x + 3) × f¯¹(x) = 1

f¯¹(x)(x – 5) / (2x + 3) = 1

Cross multiply

f¯¹(x)(x – 5) = (2x + 3)

Divide both side by (x – 5)

f¯¹(x) = (2x + 3) / (x – 5)

Thus, the inverse of the function is (2x + 3) / (x – 5).

Option E gives the correct answer to the question.

Waiting on the platform, a commuter hears an announcement that the train is running five minutes late. He assumes the arrival time may be modeled by the random variable T, such that
f(T = t) = {3/5 (5/t)^4 , t ≥ 5
0, otherwise
If given the train arrived in less than 15 minutes, what is the probability it arrived in less than 10 minutes?
А. 62%
B. 73%
C. 88%
D. 91%
E. 96%

Answers

Answer:

D. 91%

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Less than 15 minutes.

Event B: Less than 10 minutes.

We are given the following probability distribution:

[tex]f(T = t) = \frac{3}{5}(\frac{5}{t})^4, t \geq 5[/tex]

Simplifying:

[tex]f(T = t) = \frac{3*5^4}{5t^4} = \frac{375}{t^4}[/tex]

Probability of arriving in less than 15 minutes:

Integral of the distribution from 5 to 15. So

[tex]P(A) = \int_{5}^{15} = \frac{375}{t^4}[/tex]

Integral of [tex]\frac{1}{t^4} = t^{-4}[/tex] is [tex]\frac{t^{-3}}{-3} = -\frac{1}{3t^3}[/tex]

Then

[tex]\int \frac{375}{t^4} dt = -\frac{125}{t^3}[/tex]

Applying the limits, by the Fundamental Theorem of Calculus:

At [tex]t = 15[/tex], [tex]f(15) = -\frac{125}{15^3} = -\frac{1}{27}[/tex]

At [tex]t = 5[/tex], [tex]f(5) = -\frac{125}{5^3} = -1[/tex]

Then

[tex]P(A) = -\frac{1}{27} + 1 = -\frac{1}{27} + \frac{27}{27} = \frac{26}{27}[/tex]

Probability of arriving in less than 15 minutes and less than 10 minutes.

The intersection of these events is less than 10 minutes, so:

[tex]P(B) = \int_{5}^{10} = \frac{375}{t^4}[/tex]

We already have the integral, so just apply the limits:

At [tex]t = 10[/tex], [tex]f(10) = -\frac{125}{10^3} = -\frac{1}{8}[/tex]

At [tex]t = 5[/tex], [tex]f(5) = -\frac{125}{5^3} = -1[/tex]

Then

[tex]P(A \cap B) = -\frac{1}{8} + 1 = -\frac{1}{8} + \frac{8}{8} = \frac{7}{8}[/tex]

If given the train arrived in less than 15 minutes, what is the probability it arrived in less than 10 minutes?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{7}{8}}{\frac{26}{27}} = 0.9087[/tex]

Thus 90.87%, approximately 91%, and the correct answer is given by option D.

Side View of a Waterslide
Select the points you need to calculate the
average rate of change from the beginning of the
slide to when the slide has covered a horizontal
distance of 15 feet.
800
O
(0, 80)
60
(5, 40)
OOO
Height (ft)
(10, 20)
(15, 10)
DONE
20
20
10
Horizontal Distance (ft)

Answers

Answer:

(0, 80)

(15, 10)

Step-by-step explanation:

The initial point the beginning of the point and the point where the horizontal distance covered is 15 ft are the two points needed to calculate the average rate of change required.

From the graph,

Initial point = (0, 80)

The point of the slide when distance covered is 15 ft = (15, 10)

These are the points needed.

Find the zeroes of this quadratic (5b – 4)(b + 3) = 0

Answers

Answer:

b=4/ 5

Step-by-step explanation:

Round the following as specified.

153.38519 to the nearest thousandth.

Answers

Answer:

153.3852

Step-by-step explanation:

After the decimal, you count the places. 3 is in the ones place, 8 in the tenths, 5 in the hundreths, and 1 in the thousandths. The thousandths place is what we are rounding, so we look at the next number, 9, which tells us to round the 1 up to 2

Answer:

153.385

Step-by-step explanation:

153.38519

153.38519

The digit to the right of the thousandth (the the one, which is bolded) is less than or equal to 4, which means we round down.

153.38519 ≈ 153.385

Hope this helps.

How many quarts of pure antifreeze must be added to 8 quarts of a 10% antifreeze solution to obtain a 60% antifreeze solution

Answers

Answer:

10 quarts

Step-by-step explanation:

.1(8) + 1(x) = .6(x + 8)

.8 + x = .6x + 4.8

.4x = 4

x = 10

10 quarts

There are 25 black cars, 15 blue cars, 21 red cars and 30 white cars what is the probability of getting a red car

Answers

There are 91 in total. Since there are 21 red cars, it would give you 21/91. Around a 23.07% chance.
Mark Brainliest please

Answer :

The probability of selecting a red car off the lot is 0.231.
Step-by-step explanation:
Given:
Number of white cars = 25
Number of blue cars = 15
Number of red cars = 21
Number of black cars = 30
We need to find the probability of selecting a red car off the lot.
Solution:
First we will find the Total number of cars in the lot.
Now we can say that;
Total number of cars in the lot is equal to sum of Number of white cars and Number of blue cars and Number of red cars and Number of black cars.
framing in equation form we get;
Total number of cars in the lot =
Now to find the probability of selecting a red car off the lot we will divide Number of red cars by Total number of cars in the lot.
framing in equation form we get;
P(red) =
Rounding to three decimals we get;
P(red) = 0.231
Hence The probability of selecting a red car off the lot is 0.231.

One kilogram equals 2.2 pounds. If a paitent weighs 79.5kg, his weight is what in pounds?

Answers

Answer:

174.9

Step-by-step explanation:

since 1 kg is 2.2 lbs

79.5 times 2.2

they weight 174.9 lbs

Answer:

174.9 pounds

Step-by-step explanation:

Create a proportion where x is his weight in pounds:

[tex]\frac{1}{2.2}[/tex] = [tex]\frac{79.5}{x}[/tex]

Cross multiply:

x = 79.5(2.2)

x = 174.9

So, his weight in pounds is 174.9 pounds

Assuming p: she is beautiful,q :she is clever,the verbal form of ~p^ (~q) is she is beautiful but not clever. she is beautiful and clever she is not beautiful and not clever.she is beautiful or not clever.​

Answers

Answer:

C. she is not beautiful and not clever.

Step-by-step explanation:

A. she is beautiful but not clever. B. she is beautiful and clever

C. she is not beautiful and not clever.

D. she is beautiful or not clever.

p: she is beautiful

q :she is clever

~p^ (~q) in verbal form

~p = she is not beautiful

~q = she is not clever

~p^ (~q) = she is not beautiful and not clever.

C. she is not beautiful and not clever.

Using the diagram below, which of the following parts of the triangles are
congruent?

Answers

9514 1404 393

Answer:

  B.  ∠A ≅ ∠E

Step-by-step explanation:

The similarity statement tells you the corresponding angles are ...

  ΔCAB ~ ΔCED

  ∠C ≅ ∠C . . . . listed first in the similarity statement

  ∠A ≅ ∠E . . . . listed second in the similarity statement

  ∠B ≅ ∠D . . . . listed third in the similarity statement

The relationship between angles A and E is properly shown in answer choice B.

PLEASE HELP QUICK!! WILL GIVE BRAINLIEST ANSWER!!!!!!!

Answers

Answer:

X = 32

Step-by-step explanation:

Angle BEC = 43 degrees

You find X by setting up the equation 137 = 3x+41

Solve for x

You find angle BEC by subtracting 137 from 180, finding the acute angle that brings the obtuse angle up to 180 degrees (a flat line)

Answer:

x = 32 degree and angle BEC = 43 degree

Step-by-step explanation:

3x + 41 = 137 degree (being vertically opposite angles)

3x = 137 - 41

x = 96/3

x = 32

angle BEC be y

137 + y =180 degree (being linear pair)

y = 180 - 137

y = 43 degree

therefore angle BEC = 43 degree

In the figure below net of cube is show
Find the surface area of cube.
3 in

Answers

Answer:

Surface Area = 54 in^2

Step-by-step explanation:

SA = [tex]6a^{2}[/tex]

SA = [tex]6(3)^2[/tex]      Solve for the exponents first

SA = 6(9)       Then multiply

SA = 54 square inches

si franco comió 8/3 de pizza y Fabián comió 5/6 de la misma pizza. ¿quien comió más ? si quedó 4/9 de pizza.​

Answers

Answer:

Franco comió 8/3 de pizza.

Fabián comió 5/6 de pizza.

Queremos saber quien comió más.

Entonces básicamente queremos ver cuál número es más grande, 8/3 o 5/6,

Podemos reescribir el primero como:

8/3 = (2 + 3 + 3)/3 = 2/3 + 3/3 + 3/3 = 2/3 + 1 + 1

      = 2 + 2/3

En cambio, para el número 5/6, el numerador es menor que el denominador, entonces sabemos que:

5/6  < 1

Claramente podemos ver que 8/3 > 5/6

Entonces podemos concluir que Franco comió más.

Which descriptions from the list below accurately describe the relationship
between AXYZ and AUVW? Check all that apply.
Answer:
Same shape
Similar

Answers

Answer:

B. Same shape

C. Similar

Step-by-step explanation:

The three angles in ∆XYZ are congruent to the corresponding three angles in ∆UVW.

Also, the ratio of the corresponding side lengths of ∆XYZ to ∆UVW are the same. i.e. WU/XY = VW/XZ = UW/XZ = 2

Therefore, we can conclude that they are similar because they have the same shape even though their sizes are different.

The 12th term of GP whose
1
first term is 1/8 and second
term is 1/2is

Answers

Answer:

jjanation:jdgjdjgdjgjkdkidjgjghdjjghhkd

A rectangle is 6 centimetres longer than its width
If the perimeter of the rectangle is 28 centimetres, form an equation
involving x and solving it to find the width
of the rectangle

Answers

do u mean rectangle is longer or rectangles lenght is longer

Write in standard form 4.91E-2

Answers

Answer:

4.91e-2 in decimal form is 0.0491

what are the first five terms of the recursive sequence

Answers

Answer: Choice D

9, 30, 93, 282, 849

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

Explanation:

The notation [tex]a_1 = 9[/tex] tells us that the first term is 9

The notation [tex]a_n = 3*(a_{n-1})+3[/tex] says that we multiply the (n-1)st term by 3, then add on 3 to get the nth term [tex]a_n[/tex]

So if we wanted the second term for instance, then we'd say

[tex]a_n = 3*(a_{n-1})+3\\\\a_2 = 3*(a_{2-1})+3\\\\a_2 = 3*(a_{1})+3\\\\a_2 = 3*(9)+3\\\\a_2 = 27+3\\\\a_2 = 30\\\\[/tex]

If we want the third term, then,

[tex]a_n = 3*(a_{n-1})+3\\\\a_3 = 3*(a_{3-1})+3\\\\a_3 = 3*(a_{2})+3\\\\a_3 = 3*(30)+3\\\\a_3 = 90+3\\\\a_3 = 93\\\\[/tex]

and so on.

The terms so far are: 9, 30, 93

You should find the fourth and fifth terms are 282 and 849 respectively if you keep this pattern going.

Therefore, the answer is choice D

Select the correct answer. Using synthetic division, find (2x4 + 4x3 + 2x2 + 8x + 8) ÷ (x + 2). A. B. C. D.

Answers

Step-by-step explanation:

If you use synthetic division, you get,

[tex]2x {}^{3} + 2x + 4 + \frac{0}{x + 2} [/tex]

Which is,

[tex]2x {}^{3} + 2x + 4[/tex]

Answered by GAUTHMATH

Answer:

The correct answer is:

2x^3+2x+4

Step-by-step explanation:

I got it right on the Plato test.

No step by step answers or links

Answers

Answer:

1. k = 15

2. d = 20

3. n = 3

Determine the equation of the circle graphed below.
10
8
10
-10
-8
-6
2
-2
-4
-6
-8
-10

Answers

Answer:

Equation = (x - 6 )² + ( y + 3 )² = 9

Step-by-step explanation:

The circle passes through ( 6, 0) and  ( 6 , -6)

They are the coordinates of the diameter.

Using this we can find the centre of the circle.

Find the centre of the circle.

Centre of the circle is the mid- point of (6, 0) and ( 6, -6)

      [tex]Centre = (\frac{x_1+x_2}{2} , \frac{y_1 + y_2}{2})[/tex]

                 [tex]=(\frac{6 + 6}{2}, \frac{0 + (-6)}{2})\\\\=(6, -3)[/tex]

Find the radius of the circle.

[tex]Radius = \frac{Diameter }{2}[/tex]

Diameter is the distance between the points (6 , 0) and ( 6, - 6)

[tex]Diameter = \sqrt{(x_2 - x_1)^2+ (y_2 - y_1)^2\\}[/tex]

               [tex]=\sqrt{(6-6)^2 + (-6 -0)^2}\\\\=\sqrt{0 + 36} \\\\= 6[/tex]

Therefore,

    [tex]Radius ,r = \frac{6}{2} = 3[/tex]

Standard equation of a circle:

[tex](x - a)^2 + (y - b)^2 = r^2 \ where \ (a , b) \ is \ the\ centre \ coordinates.[/tex]

Therefore , equation of the circle ;

                    [tex](x - 6)^2 + (y + 3)^2 = 3^2\\\\(x -6)^2 + (y + 3)^2 = 9[/tex]

In practice, the most frequently encountered hypothesis test about a population variance is a _____. a. two-tailed test, with equal-size rejection regions b. two-tailed test, with unequal-size rejection regions c. one-tailed test, with rejection region in upper tail d. one-tailed test, with rejection region in lower tail

Answers

Answer:

c. one-tailed test, with rejection region in the upper tail.

Step-by-step explanation:

One tailed test is statistical test in which critical area of distribution is one sided and greater or less than certain value. One tailed test can be left or right sided depending on the population distribution. Rejection region of the one tailed test will determine whether to accept or reject the null hypothesis.

Suppose that y varies inversely with x. Write a function that models the inverse function x=7 when y=3

Answers

9514 1404 393

Answer:

  y = 21/x

Step-by-step explanation:

The inverse variation relation means ...

  y = k/x

For the given values, we can determine the constant k:

  3 = k/7

  3×7 = k = 21

Then the function is ...

  y = 21/x

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