Q2. In a camp food was enough for 400 people for 23 days. If 60 more people joined the camp, find the number of days the food will last?

Q3. Given that y is directly proportional to x and that y= 40 when x= 200, find the value of
(a) y when x= 15
(b) x when y= 8

Q4. If y is inversely proportional to x and that y= 8 when x= 30, find the value of:

(a) the value of y when x= 4
(b) the value of x when y= 360​

Answers

Answer 1

Answer:

Q2)

We have food for 400 people, and it will last for 23 days.

Then we have an inverse relation, where the number of days decreases as the number of people increases, this means that we have a relationship like:

23 days = K/400 people.

Then we get:

(23 days)*(400 people) = K = 9200 days*people.

Now if we increase the number of people by 60, we get.

people = 460

Then the number of days that this will last is:

D = (9200 days*people)/460 people = 20 days.

The food will last for 20 days.

Q3) We have a proportional relationship (y = k*x) such that y = 40 when x = 200, then we get:

40 = k*200

With this, we can find the value of k

40/200 = k = 0.2

Then the proportional relationship is:

y = 0.2*x

a) We need to replace x by 15.

y = 0.2*15 = 3

y = 3

b) We need to replace y by 8.

8 = 0.2*x

8/0.2 = x = 40

x = 40

Q3) y is inversely proportional to x (y = k/x), and y = 8 when x = 30.

Then we get:

8 = k/30

Then the value of k is:

8*30 = k = 240

then the relationship is:

y = 240/x

a) we need to replace x by 4

y = 240/4 = 60

y = 60

b) we need to replace y by 360

360 = 240/x

360*x = 240

x = 240/360 = 0.666...

x = 0.666...


Related Questions

Answer these two questions for brainiest hurry:)

-10.2 + c = -8.14 solve this equation


also Tell whether -8 is a solution of - j - 7 > -1. Show your work and answer yes or no

Answers

Answer:

C=2.06

Step-by-step explanation:

-8.14+10.2=2.06

PLEASE HURRY! I NEED HELP! THIS IS DUE TOMORROW! If you answer this I will give you brainliest!

Answers

Answer:

the answer is 3

Step-by-step explanation:

how i got this answer is........i did the round robin and i times 1 *5+4 and i got 9  so you will get 3/4 *9/5 and i got 27/9 and you will divided 9*3 and you will get 3 so that is the answer 3

i hope you did good on your test

Ted is making chocolate chip pancakes for his whole family. He wants to make 20 pancakes using a 3-cup bag of chocolate chips. How many cups of chocolate chips will be in each pancake? Write your answer as a proper fraction or mixed number.

Answers

Answer:

3/20

Step-by-step explanation:

Given: Number of cups of pancakes to be made = 20

Number of  bag of chocolate chips available = 3

Therefore, cups of chocolate chips will be in each pancake= 3/20

Can someone please answer my question Geometric Sequence:
3, 6, 12, 24, …

Answers

Answer:

48

Step-by-step explanation:

You multiply by 2 each time

I believe it is multiplying by 2 each time.

3 x 2 = 6

6 x 2 = 12

12 x 2 = 24

So if this was true to continue we would just multiply by 2....

24 x 2 = 48

48 x 2 = 96

96 x 2 = 192

192 x 2 = 384

384 x 2 = 768

and continue for as long as you need to go....

Hope this helped!

I need help with all the questions you see

Answers

Answer:

1/ -6=12+1/3a

Rewrite the equation as 12+1/3a=−6.

12+1/3a= −6

Combine 1/3 and a.

12+a/3= −6

Move all terms not containing a to the right side of the equation.

a/3= −18

Multiply both sides of the equation by 3.

3⋅a/3=3⋅ −18

Simplify both sides of the equation.

a= −54

2/ -6 =12 -1/3a

Rewrite the equation as 12−13a=−6.

12−1/3a=−6

Combine a and /13.

12−a/3=−6

Move all terms not containing a to the right side of the equation.

−a/3=−18

Multiply both sides of the equation by −3.

−3⋅(−a/3)=−3 ⋅−18

Simplify both sides of the equation.

a=54

Step-by-step explanation:

Ryan spent 35% of his money on snacks at the concession stand. If he spent $4.20, how much money did he have before buying snacks?

Answers

Answer:

hi

Step-by-step explanation:

i know

Find the missing value to the nearest hundredth.
Cos = 5/36

Answers

Answer:

Step-by-step explanation:

"cos" by itself is meaningless. It needs an argument.

cos(x°) = 5/36

x° = arccos(5/36) ≅ 82.2°

HELP ME PLZZZZZZZZZZ

Answers

Answer:

In both cases, we have similar figures.

This means that the shape of the figures is the same, but the size is different:

PQST is similar to STNR and to NRPQ

VUYZ is similar to YZWX and to VUWX

this means that, for example, in problem 18, the ratio between ST and NR must be the same as the ratio between PQ and ST. This happens because the measure increases by the same scale factor.

With this in mind, we can solve the problem:

18)

ST = 7.5

NR = 5.5

Then the quotient ST/NR is:

ST/NR = 7.5/5.5

And, as we said above:

PQ/ST = ST/NR

PQ/7.5 = 7.5/5.5

PQ = (7.5/5.5)*7.5 = 10.23

19) Here we should have:

YZ/VU = WX/YZ

Then:

22.9/35 = WX/22.9

(22.9/35)*22.9 = WX = 14.98

The smith family went out for dinner the price of the meal was $39.85 the sales tax was 8.1% of the price of the meal the tip was 17% of the meal and the sales tax how much did the smith family pay for the meal including tax and tip PLEASE HELP ILL GIVE LOTS OF POINTS

Answers

9514 1404 393

Answer:

  $50.40

Step-by-step explanation:

Adding the tax multiplies the amount by 1+8.1% = 1.081.

Adding the tip multiplies the amount by 1+17% = 1.17.

Then the amount with tax and tip is ...

  $39.85 × 1.081 × 1.17 = $50.40

The Smith family paid $50.40 for the meal.

2,6,18,54 what is the 10th term of the sequence​

Answers

Answer:

78

Step-by-step explanation:

I'm really good at these

Answer:

Step-by-step explanation:

This is a geometric sequence with common ratio 3.

10th term = (4th term)×3¹⁰⁻⁴ = 54×3⁶ = 39366

HELP HELP HELP I NEED TO TURN THEM IN IN 10 MINUTES
1. 3 3/10 + 7 6/10
2. 4 1/3 + 2 1/2
3. 7 3/8 - 5 1/8
4. 16 7/8 - 11 1/4
5. (13 + 2) divided by 5x2 =

Answers

Answer: (1. 10 9/10.) (2. 6 5/6) (3. 2 2/8) (4. 28 1/8) 5. 1.5 or 1 1/2

Step-by-step explanation:

Sales for a business were 3 million dollars more the second year than the first, and sales for the third year were double the sales for the second year. If sales for the third year were 38 million dollars, what were sales, in millions of dollars, for the first year?


16



17.5



20.5



22



35

Answers

Answer:

16 million

Step-by-step explanation:

see the explanation attached above

Which of the following are not polynomials?

Answers

Letter b and letter c

Porqué el valor del coeficiente de la variable al cuadrado de una función cuadratica no puede ser cero?

Answers

Answer:

Ver respuesta abajo

Step-by-step explanation:

Una ecuación cuadrática es una ecuación que tiene la siguiente forma:

ax² + bx + c = 0

Donde:

a, b y c: coeficientes numéricos que acompañan a la incógnita.

Ahora bien, una función cuadrática es basicamente la misma ecuación cuadrática pero representada graficamente en un plano cartesiano.

Para que una ecuación o función sea cuadrática es absolutamente necesario y obligatorio que su expresión en forma de ecuación tenga el elemento "ax²", pues el "cuadrado" que es el exponente 2 que eleva la incógnita es lo que le da la característica de ecuación o función cuadrática.

Si el coeficiente que acompaña al x², es decir, el valor de a es cero, automaticamente pierde la condición de ser una función o ecuación cuadrática pues dicho término se hace cero su valor. En otras palabras, si x es un número cualquiera y está representado como incógnita, ¿qué sucede cuando multiplicas cualquier número por cero?, en este caso, el resultado es igual a cero:

Ejemplo:

0x² = 0 * x² = 0.

Por tanto, si el término cuadrático se hace cero, ya pierde la condición de cuadraticidad, y su gráfico no sería de forma parabólica, solo quedaría los términos bx + c, pero eso ya pertenece a una ecuación lineal o función afín.

Espero esto te sirva.

Will mark BRAINlIEST!!!
What is 2/7+ (−4/7)

Answers

Answer:

- 2/7

Step-by-step explanation:

+ and - becomes -

2/7 - 4/7 =  - 2/7

PLEASE MARK BRAINLIEST!!! <3

Answer:

6/9 yeah that's it I looked It, up.

Step-by-step explanation:

if diameter of a circle is 28cm.find radius & circumference.​

Answers

Answer:

Radius = 14 cm, Circumference = 88 cm

Step-by-step explanation:

d = 28 cm

r = 1 / 2 * 28

 = 14 cm

Circumference = 2πr

                         = 2 * 22 / 7 *  14

                         = 2 * 22 * 2

                         = 88 cm

Hope it helps :)

Please mark my answer as the brainliest

Step-by-step explanation:

Diameter (d) = 28 cmRadius (R) = d /2 = 28 / 2 = 14 cmCircumference (C) = πd= 3.14 * 28= 87.92

[tex]hope \: it \: will \: help[/tex]

A pattern is made from four congruent squares.
The sides of the squares are parallel to the axes.
У.
B (27, 30)
Point A has coordinates (3, 2)
Point B has coordinates (27, 30)
Point C is marked on the diagram.
Work out the coordinates of C.

Answers

Answer:

The coordinates of C are (15,16)

Step-by-step explanation:

As we can see, point C lies half the distance of AB

So we can use the midpoint formula to get the coordinates of C

we have this as:

(x,y) = (x1 + x2)/2 , (y1 + y2)/2

(x1,y1) = (3,2)

(x2,y2) = (27,30)

Thus, we have

(x,y) = (3 + 27)/2, (30 + 2)/2

(x,y) = 30/2 , 32/2

(x,y) = (15,16)

x^2+3x-24=
x
2
+3x−24=
\,\,3x+1
3x+1

Answers

Answer:

x=8 lol this is so easyndiewkkwwkwkwkw

The candy of a lolipop is in the shape of a sphere with a diameter of 4 cm. The
cylindrical stick inside the candy is the same height as the sphere and has a radius of
0.5 cm. What is the composite volume of the candy? Round to the nearest tenth, if
necessary.

Answers

So so so so 0.5cm? Like

I WILL GIVE THE BRAIN LIST

Answers

the answer is G!! hope this helps!

Answer:

its g ;)

Step-by-step explanation:

trust me and please mark me brainliest the reason i know it is because well, i can barley explain it sorry have a nice day and hope this helps and please mark me brainliest thank you very much!

Solve 4[10x + 5) = 260

Answers

Answer:

sry dont know

Step-by-step explanation:

Answe

its x=6

Step-by-step explanation:

Find the 18th term of the arithmetic sequence whose common difference is d=5 and whose first term is a = 4.

Answers

Answer:

Step-by-step explanation:

a₁₈ = a₁+(18-1)d = 4+17·5 = 89

Please help geometry people.

Answers

Answer:

Since QPR is an isoscelese triangle, QP and PR are congruent.

Therefore PR = 8

My guess for ST is z=1. So (5z = 5) and( 2z = 2). Then add 3 to 2 and you get 5. So ST = 5

Step-by-step explanation:

Hope this helps!!!

Please mark brainliest.

rewrite the equation:
0=x^2+4x+1

Answers

Answer:

-x^2-4x-1=0

plz mark as brainliest

Step-by-step explanation:

if x=3 what is the value of 3x

Answers

The value of 3x is 9

Answer:

The answer is 9.

Step-by-step explanation:

If x equals 3 and you have 3x its basically just 3 times 3 so you get 9 as the result.

I hope this helps you :D

Can someone please help me solve these?

Answers

9514 1404 393

Answer:

  (c)  h(x) = (3x +4)(2x +1)

Step-by-step explanation:

The answer choices differ in the values they create for the last two terms of the trinomial. The last term (+4) is created by all of the choices except the first one.

The middle term (11x) is only created by the third choice:

  (3x +4)(2x +1) = (3x)(2x) +(3x)(1) +(4)(2x) +(4)(1)

  = 6x^2 +3x +8x +4

  = 6x^2 +11x +4 . . . . matches the given h(x)

Please answer ASAP i need this immediately

Answers

Answer:

2/3 is less than 1 1/15

Step-by-step explanation:

2/3 * 1 3/5 = 1 1/15

2/3 < 1 1/15

Answer:

>

Step-by-step explanation:

2 over 3 is less than 1 and 3 over 5

For what value of x does f(x) = -3? *
.

Answers

Answer:

3

Step-by-step explanation:

Tammy has a rectangular rug with an area of 21 square feet. The rug is 4 feet longer than it is wide. Which equations can be used to determine the length and the width of the rug

Answers

Answer:

21 = x( x+4)

Step-by-step explanation:

21 = x(x+4)

This equation is used because two sides are being multiplied by each other and the second one is four feet longer than the other one.

what is 8 + g = 15? just need the answer

Answers

Step-by-step explanation:

8 + g = 15

g = 15 - 8

g = 7

Hope it will help :)

Answer: 7

Explanation: you do 15-8
That =7
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