Identify the 33rd term of the arithmetic sequence 9, 7 and one half , 6...

Here are the ingredients to make 12 cupcakes.

scoundrel [369]

Answer:

Mark needs 2 kg butter, 2 kg caster sugar, 14 eggs, and 1.5 kg flour.

Step-by-step explanation:

Alright, first you double the number of kids, as Mark wants each kid to have two cupcakes, not one. (Then add 80+80 to get 160)

Now add the adults to children: 160+152=312

now divide by 12 to see how many batches of cupcakes he needs to make.

312÷12=26 So he needs to make 26 batches

Now here are the ingredients needed to make 12 batches of cupcakes (I multiplied the amount of each ingredient by 26)

5200 g (5.2 kg) butter, 5200 g (5.2 kg) caster sugar, 104 eggs, and 6500 g (6.5 kg) flour.

now make the measurements the same as Mark's ingredients (or the other way around)

(to save time I am not showing each one, just the normal ingredients turned into kg and compared)

5 kg butter < 5.2 kg butter

5 kg caster sugar < 5.2 kg butter

90 eggs < 104 eggs

5 kg flour < 6.5 kg flour

Now do a little subtraction.....

5.2 kg-5 kg = 2 kg butter is needed....

5.2 kg - 5 kg = 2 kg caster sugar is needed....

104 - 90 = 14 eggs needed....

6.5 kg - 5 kg = 1.5 kg flour needed....

And there you go!!! Hope this helped!!! :D

4 0

2 years ago

Victor is enlarging a poster for a school baseball match. The graph below shows the size y of the poster after x enlargements: g

Norma-Jean [14]

For this case we have the following function:
y = 1.8 ^ x
The intersection with the y axis occurs when x = 0.
We have then:
y = 1.8 ^ 0
y = 1
In this case, the intersection with the y-axis represents the original size of the poster.
Answer:
the y-intercept of the graph represents:
the original size of the poster.

3 0

2 years ago

Read 2 more answers

A helicopter flies 8 km due north from A to B. It then flies 5 km from B to C and returns to A as shown in the figure. Angle ABC

In-s [12.5K]

Please consider the attached graph.

We have been given that a helicopter flies 8 km due north from A to B. It then flies 5 km from B to C and returns to A as shown in the figure. The measure of angle ABC is 150°. We are asked to find the area of triangle ABC.

We will use trigonometric area formula to solve our given problem.

$A=\frac{1}{2}a\cdot c\cdot\text{sin}(b)$ , where angle b is angle between sides a and c.

For our given triangle $a=5,c=8$ and measure of angle b is 150 degrees.

$A=\frac{1}{2}(5)\cdot (8)\cdot\text{sin}(150^{\circ})$

$A=5\cdot 4\cdot(0.5)$

$A=10$

Therefore, the area of the triangle ABC is 10 square kilo-meters and option 'c' is the correct choice.

6 0

2 years ago

Using a ruler and a compass,Jimmy constructs a square inscribed within a circle. He starts by drawing a circle with a center at

lana66690 [7]

Answer:

He set the compass on a, with the width slightly wider than the distance to o and drew an arc above and below o. He then set the compass on b, without changing the width on the compass and did the same thing. True

He drew a line through where the arc pairs intersected and then labeled the points where this line crossed the top and bottom of the original circle. True

He set the compass on o, with the width slightly wider than the distance to b, and he drew a slightly larger circle around the original circle. False

He used the points that were marked along the circumference of the original circle as the vertices for the square. True

Step-by-step explanation:

Performance matters test perhaps?

5 0

2 years ago

Lizzy had test scores of: 72, 94, 108, 60What is the RANGE of her test scores?

Misha Larkins [42]

Answer:

48

Step-by-step explanation:

To find the range, you have to subtract the biggest/largest number by the smallest number:

108 - 60 = 48

The range is 48.

5 0

1 year ago