Ask question

Ask question

All categories

3 years ago

6

Jack finds this list of ingridents needed to make 20 muffins. To make 20 muffins you need 220ml milk, 250g castel sugar, 400g fl

our.
Jack has these ingridents : 1 litre of milk, 750g caster sugar and 1.5kg flour. Work out the greatest number of muffins Jack can make with his ingridents!

1 answer:

Harlamova29_29 [7]3 years ago

6 0

Answer:

60 muffins

Step-by-step explanation:

Find out how much ml you need for each ingredient.

20 muffins =

220 ÷ 20 = 11 (milk)

250 ÷ 20 = 12.5 (castel sugar)

400 ÷ 20 = 20 (flour)

Find out the greatest number of muffins Jack can make.

1 litre = 1000 ml

1000 ÷ 11 = 90.90 (recurring decimal) (milk)

750 ÷ 12.5 = 60 (castel sugar)

1500 ÷ 20 = 75 (flour)

Find the smallest answer out of the 3 questions.

You might be interested in

I don't need you to work it out, just theorem(s) i need to reach the answer :)

VikaD [51]

Not sure why such an old question is showing up on my feed...

Anyway, let $x=\tan^{-1}\dfrac43$ and $y=\sin^{-1}\dfrac35$ . Then we want to find the exact value of $\cos(x-y)$ .

Use the angle difference identity:

$\cos(x-y)=\cos x\cos y+\sin x\sin y$

and right away we find $\sin y=\dfrac35$ . By the Pythagorean theorem, we also find $\cos y=\dfrac45$ . (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)

Meanwhile, if $\tan x=\dfrac43$ , then (by Pythagorean theorem) $\sec x=\dfrac53$ , so $\cos x=\dfrac35$ . And from this, $\sin x=\dfrac45$ .

So,

$\cos\left(\tan^{-1}\dfrac43-\sin^{-1}\dfrac35\right)=\dfrac35\cdot\dfrac45+\dfrac45\cdot\dfrac35=\dfrac{24}{25}$

7 0

3 years ago

In which container is the probability of randomly selecting a green ball on one draw 4/7?

Snowcat [4.5K]

Answer:

B

Step-by-step explanation:

B

3 0

2 years ago

Read 2 more answers

What is the equation of the following line written in slope-intercept form?

adelina 88 [10]

Answer:

y = 5x

Step-by-step explanation:

The y intercept is 0 since it crosses the y axis at 0

The slope is rise over run

From (0,0) we go up 5 and to the right 1

5/1 = 5

Slope = 5

The slope intercept equation is

y = mx+b where m is the slope and b is the y intercept

y = 5x+0

y = 5x

4 0

3 years ago

Read 2 more answers

Lin needs to save up $20 for a new game. How much money does she have if she has saved 75% of her goal?

Nataly [62]

Answer: She has $15

Step-by-step explanation:

20*0.75=15

6 0

2 years ago

Read 2 more answers

What’s the domain and range of:<br> log(√(2x-1) + 3 )<br> Please explain how you got it too!!

Radda [10]

Two main facts are needed here:

1. The logarithm $\log x$ , regardless of the base of the logarithm, exists for $x>0$ .

2. The square root $\sqrt x$ exists for $x\ge0$ .

(in both cases we're assuming real-valued functions only)

By (2) we know that $\sqrt{2x-1}$ exists if $2x-1\ge0$ , or $x\ge\dfrac12$ .

By (1), we know that $\log(\sqrt{2x-1}+3)$ exists if $\sqrt{2x-1}+3>0$ , or $\sqrt{2x-1}>-3$ . But as long as the square root exists, it will always be positive, so this condition will always be met.

Ultimately, then, we only require $x\ge\dfrac12$ , so the function has domain $\left[\dfrac12,\infty)$ .

To determine the range, we need to know that, in their respective domains, $\sqrt x$ and $\log x$ increase monotonically without bound. We also know that $x=\dfrac12$ at minimum, at which point the square root term vanishes, so the least value the function takes on is $\log3$ . Then its range would be $[\log3,\infty)$ .

3 0

3 years ago