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2 years ago

12

A desert has both fruit and yoghurt inside.Altogether the mass of the fruit and yoghurt is 175g. The ratio of the mass of fruit

to the mass of yoghurt is 2 : 5

1 answer:

Dafna11 [192]2 years ago

8 0

Answer:

125g

Step-by-step explanation:

You can find the mass of the yoghurt by dividing the mass of the fruit and the yoghurt by the sum of the ratio,(2+5), then multiplying that value by 5.

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The following data represent the number of people aged 25 to 64 years covered by health insurance (private or government) in 201

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Answer:

The mean is 45.178

The standard deviation is 10.3325

Step-by-step explanation:

The mean is 45.178

The standard deviation is 10.3325

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A standard size bass drum has a diameter of 22 inches and is 18 inches deep. find the volume of the drum

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I hope this helps you

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A customer borrowed $2000 and then a further $1000 both repayable in 12 months. What should he have saved if he had taken out on

Neporo4naja [7]

Answer:

a. $60

Step-by-step explanation:

We will use simple interest formula to solve our given problem.

$A=P(1+rt)$ , where

A= Amount after t years.

P= Principal amount.

r= Interest rate in decimal form.

t= Time in years.

Let us find amount of loans repayable after 12 months for taking two amounts of $2000 and $1000.

As $2000 and $1000 are less than 2500, so the rate of loan will be 10%.

$10\%=\frac{10}{100}=0.10$

12 months = 1 year.

$A=2000(1+0.10\times 1)$

$A=2000(1+0.10)$

$A=2000(1.10)$

$A=2200$

Now let us find amount repayable after 12 months for borrowing $1000.

$A=1000(1+0.10\times 1)$

$A=1000(1+0.10)$

$A=1000(1.10)$

$A=1100$

Adding these amounts we will get total repayable amount after 12 months for borrowing $2000 and $1000 separately.

$\text{Amount repayable for borrowing two separate amounts}=2200+1100=3300$

Now let us find repayable amount after 12 months for taking 1 loan. As $3000 is between $2501 and $7500, so rate of loan will be 8%.

$8\%=\frac{8}{100}=0.08$

$A=3000(1+0.08\times 1)$

$A=3000(1+0.08)$

$A=3000(1.08)$

$A=3240$

Now let us find difference between both repayable loan amounts.

$\text{Difference between both repayable loan amounts}=3300-3240$

$\text{Difference between both repayable loan amounts}=60$

Therefore, the customer should have saved $60, if he had taken out one loan for $3000 and option a is the correct choice.

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2 years ago

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kow [346]

$1)\\\\\dfrac{-45}{-5}=45:5=9$

$2)\\(-2)(4)=-8\\(2)(-4)+-8\\-16:2=-8\\-16:(-2)=8\neq-8\\\\\text{All of the following expressions have the same value except}\ -16:-2.$

$3)\\-3^2=-3\cdot3=-9$

$(-2)^4=(-2)(-2)(-2)(-2)=16\\-2^4=-(2)(2)(2)(2)=-16\neq16\\(-2)(-2)(-2)(-2)=16\\2^4=(2)(2)(2)(2)=16\\\\\text{All of the following are equivalent except}\ -2^4.$

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2 years ago

A fly trapped inside a cubical box with side length 1 meter decides to relieve its boredom by visiting each corner of the box. I

Lelu [443]

Answer:

(4 √ 3 + 4 √2 ) m

Step-by-step explanation:

The insect can travel from one corner directly to opposite corner in four different ways

each can be calculated using Pythagoras theorem

firstly for one face we need to calculate the diagonal

H² = 1² + 1² = 2

H = √2

then we calculate the diagonal opposite a corner

for example

A to H where A is at the bottom and H opposite A in another plane at the top in the cubical box

(Interior diagonal for A to H)² = √2² + 1² = 3

Interior diagonal from A to H = √ 3

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maximum possible length in meters = (4 √ 3 + 4 √2 ) m

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2 years ago