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Inessa05 [86]
3 years ago
9

Andrew has a different cookie recipe that makes 28 cookies. He plans to have 21 guests at the party and wants each guest to have

plenty of cookies. If he triples the recipe, how many cookies would each guest receive?
Mathematics
1 answer:
joja [24]3 years ago
5 0

Answer: Since each recipe makes 28 cookies, tripling the recipe would give him 28(3) = 84 cookies.

Step-by-step explanation: <em>Since each recipe makes 28 cookies, tripling the recipe would give him 28(3) = 84 cookies. </em>

<em> </em>

<em>Then divide the total number of cookies by the number of guests:  84  21  = 4. Each person would get 4 cookies.</em>

<em> </em>

<em>This process can be modeled by the expressions 28(3) ÷ 21 and  </em>

<em>28(3) </em>

<em>21 </em>

<em>. This is because the fraction bar represents division.</em>

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Hello I don’t understand question 9 a and b. Please show working out.<br> Thanks
brilliants [131]
A) I would make the positive integer x and then form an equation.

x + 30 = x^2 - 12
x + 42 = x^2
0 = x^2 - x - 42 this can be factorised
(x - 7) ( x + 6) Therefore x = 7 or x = -6

Since the question asks for a positive integer the answer is 7.

B) two positive numbers x and y.

X - y = 3
x^2 + y^2 = 117

Use these simultaneous equations to figure out each number.

Rearrange the first equation

x = y + 3

Then substitute it into the second equation.

(y+3)^2 + y^2 = 117
y^2 + 6y + 9 + y^2 = 117
2y^2 + 6y - 108 = 0
then factorise this.
(2y - 12) (y + 9)

This means that y = 6 or y = -9 but it’s 6 because that’s the only positive number.

Use y to find x

x = y + 3
x = 6 + 3
x = 9

So the answers are x = 9 and y = 6.
3 0
3 years ago
A line passes through the points (2,21) and (8,27). Write a linear function rule in terms of x and y for
tatiyna
We have two points so we can find the gradient using y1-y2/x1-x2
gradient = 21-27/2-8
= 1
we know the form for any linear equation is y = mx + c
we have m and a point so we can substitute in point (2,21) to find c
21 = 1 x 2 + c
c = 19
therefore, the equation is y = x + 19
6 0
2 years ago
Read 2 more answers
to build the garden of your dreams you need 11 m^3 of coil containing 46% clay. you have two types of soil you can combine to ac
aivan3 [116]

Answer: 9m^3 of soil with 50% clay and 2m^3 of soil with 28% clay is required

Step-by-step explanation:

Let x represent the quantity of the soil containing 50% clay that you would use.

Let y represent the quantity of the soil containing 28% clay that you would use.

To build the garden of your dreams you need 11 m^3 of soil.

x + y = 11 - - - - - - - - -1

Since the soil must contain 46% clay, the total amount of clay required is 46/100 × 11 = 5.06 m^3.

you have two types of soil you can combine to achieve this: soil with 50% clay and soil with 28% clay. This means that the quantity of both soils required to achieve 5.06 m^3 will be

0.5x + 0.28y = 5.06 - - - - - - - -2

Substituting x = 11 - y into equation 1, it becomes

0.5(11 - y) + 0.28y = 5.06

5.5 - 0.5y + 0.28y = 5.06

- 0.5y + 0.28y = 5.06 - 5.5

- 0.22y = - 0.44

y = - 0.44/ -0.22 = 2

Substituting y = 2 into x = 11 - y, it becomes

x = 11 - 2 = 9

7 0
3 years ago
What is the next term of the geometric sequence. 135,45,15​
WINSTONCH [101]

Answer:

5

Step-by-step explanation:

Each term is 1/3 of the preceding term

135 / 3 = 45

45 / 3 = 15

15 / 3 = 5

5 0
3 years ago
Read 2 more answers
John painted 4 walls in 3 hours. Write an equation comparing walls painted to hours.
V125BC [204]
I think you should go with A).
3 0
3 years ago
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