Here are the ingredients to make 12 cupcakes.
For 12 cupcakes
200 g butter
200 g caster sugar
4 eggs
250 g flour
Mark is making cupcakes to sell at his school play.
Mark wants to make 1 cupcake for each adult and 2 cupcakes for each child.
There will be 152 adults and 80 children at the school play.
Mark can get these ingredients from the school kitchen.
5 kg butter
5 kg caster sugar
90 eggs
5 kg flour
Make a shopping list of any ingredients Mark still needs, showing the amount of each
ingredient.

Answer:

8

Step-by-step explanation:

x= 3

21-6/3 + 6/2

15/3 + 3/1

5+3=8

Answer:

8

Step-by-step explanation:

plug in 3 for all the x's

7(3)-6/3= 21-6/3=15/3=5

2(3)/2=6/2=3

5+3=8

Answer:

x=10

Step-by-step explanation:

it is saying x-2 multiplied by 5=40

5(x-2)=40

5x-10=40

5x=50

x=10

Answer:

8

Step-by-step explanation:

$8

Answer:

The  given equation is of the form

p( x+ q)² + r   =  [tex]3((x+(-\frac{7}{6})^{2} +(-\frac{61}{12})[/tex]

Step-by-step explanation:

Step(i):-

Given equation  3 x² - 7 x -1

                =  [tex]3(x^{2} -\frac{7}{3} x )-1[/tex]

                = [tex]3(x^{2} -2 X \frac{7}{3X2} +(\frac{7}{6} )^{2}-(\frac{7}{6} ^{2} )-1[/tex]

               = [tex]3(x^{2} -2 X \frac{7}{6} +(\frac{7}{6} )^{2}-(\frac{49}{36} )) -1[/tex]

Step(ii):-

We know that formula

(a-b)² = a² - 2ab + b²

[tex]3x^{2} -7x-1 = 3((x-\frac{7}{6})^{2} -( 3X\frac{49}{36} )) -1[/tex]

[tex]3x^{2} -7x-1 = 3((x-\frac{7}{6})^{2} -\frac{61}{12}[/tex]

Final answer:-

The  given equation is of the form

p( x+ q)² + r   =  [tex]3((x+(-\frac{7}{6})^{2} +(-\frac{61}{12})[/tex]

Answer:

b = {0, 1, 2, 3, 4, 5}

Step-by-step explanation:

The domain of a function is simply all the possible values the independent variable can assume that the function will work and will give a real number.

In this question, we have:

m = 45 – 8b

b is the independent variable because the money, m, depends on the number of books, b, bought.

Since we can't have negative value for m as it represents an amount of money, then the values b can assume can be gotten through:

45 – 8b = 0,

8b = 45

b = 45/8 = 5.625

For the m, money, to remain positive b shouldn't go beyond 5.625

Also we should note that b, books, can't be a negative (no such thing as negative books) or a fractional value (no such thing as buying parts of a book) as well. Therefore, b = {0, 1, 2, 3, 4, 5}

Answer:

AYO

Step-by-step explanation:

WHAT GRADE WORK IS THAT THATS A WHOLE STORY

Answer:p=$20

Step-by-step explanation:

145-65=80

80/4=20

so each pant costs $20

p=$20

Answer:

25 pages.

Step-by-step explanation:

all the other answers seem to be less than 200. 20(10) is 200, but it says more than 200 pages. so that means the only correct answer is 25 pages per day. 25(10) is 250 pages, exceeding 200.

Answer:

2x = 10

Simplifying

2x = 10

Solving

2x = 10

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '2'.

x = 5

Simplifying

x = 5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

-8+2x=10

-8 + 2x + 8 = 10 + 8

2x/2 = 18/2

x=9

Answer:

Square root of 48

Step-by-step explanation:

The cube root of 348 is ~7.03, but the square root of 48 is ~6.9. Making the square root of 48 smaller.

Answer:

60 degrees

Step-by-step explanation:

add all together

make an equation of the sum= 180

this would mean 9r-9=180

solve

9r-9=180

9r=189

r=21

plug 21 in for r on the angle Y

solve

3(21)-3

63-3

60

Answer:

I Hope it will help u

Step-by-step explanation:

Your solution is in image ,

please brain-list it it takes effort ,

I have a channel please subscribe to it i will be thank full

"  ZK SOFT&GAMING"  search this on you-tube.

Answer:

b = ac

Step-by-step explanation:

Solve for b by simplifying both sides of the equation, then isolating the variable.

Answer:

b= ac

Solve for b by simplifying both sides of the equation, then isolating the variable.

Answer:

Step-by-step explanation:

The function in vertex form is:

i) y = f(x) - 2 = (x - 1)² - 3 - 2 = (x - 1)² - 5 ⇒ h = 1, k = -5

Minimum point:

ii) y = f(2x) = (2x - 1)² - 3 = 4(x - 1/2)² - 3 ⇒ h = 1/2, k = -3

Minimum point:

iii) y = 3f(x) = 3((x - 1)² - 3) = 3(x - 1)² - 9 ⇒ h = 1, k = -9

Minimum point:

Answer:

100.5 inches approximately

Step-by-step explanation:

2πr = circumference

r=16

3.14*16*2=100.48

Answer:

10 pens

Step-by-step explanation:

Find out how much pens she needs to sell to get $15, to get $15, exclude out how much Elena has.

$20 - $5 = $15

Now divide.

$15.00 ÷ $1.50 = 10 pens

Answer:

She will need to sell more than 10 pens to have enough money to buy a $20 shirt and still have money.

Step-by-step explanation:

1.5x + 5 > 20

         -5   +5

1.5x > 15

/1.5   /1.5

x > 10

Answer:

[tex]12[/tex] cm

Step-by-step explanation:

If Kelsey knit a total of [tex]6[/tex] cm of scarf over [tex]2[/tex] nights, then we know that she can knit [tex]\frac{6}{2}=3[/tex] cm each night. Therefore, after [tex]4[/tex] nights of knitting, Kelsey would have knit a total of [tex]3*4=12[/tex] cm of scarf in total. Hope this helps!

B irrational numbers true or false

Answer:

Horizontal

Step-by-step explanation:

Answer:

Horizontal...............

Answer:

5

Step-by-step explanation:

5

Step-by-step explanation:

Because you would have to find which numbers have heads then find the one that has more than 2.

Answer:

your hourly wage is 4

Step-by-step explanation:

Hourly wage will be 4 if done correctly.

Answer:

m=-3

Step-by-step explanation:

Answer:

x=18

Step-by-step explanation:

The angles here are alternate interior angles, this means that they are congruent. Congruent means that they are equal to each other, so to solve just set them equal! (Your variable is x so you're solving for that)

[tex]4x=72[/tex]

Divide both sides by 4:

[tex]x=18[/tex]

Hope this helps! :)

Answer:

70

Step-by-step explanation:

Answer:

you just have to check the first and the third box

Step-by-step explanation:

put each into slop intercept form

y+6=-5(x-2) is the same as y=-5x+4

y-2=-5(x+6) is the same as y=-5x-28

y=-5x+4

y=-5x-28

all of them have a slope of -5, but you need to plug in (2,-6) to see which on is true

Answer: 15g+10a(less than or equal to <) 120

2g+3a<10

The system of inequalities that can be used to determine the amount of geometry problems (g) and algebra problems (a) is:

[tex]a + g \geq 10[/tex]

[tex]10a + 15g \leq 120[/tex]

We can translate the given situation into inequalities to get the system of inequalities that we can use to find the amount of algebra and geometry problems that can be completed.

a = amount of algebra problems

g = amount of geometry problems

[tex]a + g \geq 10[/tex]

Thus:

15 minutes for each geometric problem = 15g

10 minutes for each algebra problem = 10a

[tex]10a + 15g \leq 120[/tex]

Therefore, the system of inequalities that can be used to determine the amount of geometry problems (g) and algebra problems (a) is:

[tex]a + g \geq 10[/tex]

[tex]10a + 15g \leq 120[/tex]

Learn more here:

https://brainly.com/question/9774970

Answer:

corner of the Y Z W They all have a corner

Step-by-step explanation: near 105 im wrong imma give u your points back if i am -

little pic

51 degrees

Answer:

J

A=7.07cm^2

Step-by-step explanation:

A= (pi)(r^2)

diameter=3

radius= 1/2 of the diameter = 1.5

pi = approximately 3.14

A= (3.14) (1.5)^2

A= 7.065 ----> rounds to 7.07

Answer:

i just took the test the answer is A,B and C.

Step-by-step explanation:

Answer:

ABC

Step-by-step explanation: