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shutvik [7]
2 years ago
6

1. Find 40% of 60 using two different strategies, one of which must include a pictorial model or diagram.

Mathematics
1 answer:
slava [35]2 years ago
5 0

Answer:

1. First method : Since, 1\% = \frac{1}{100}

⇒ 40\% = \frac{40}{100}

Thus,  40 % of 60

= \frac{40}{100}\times 60 = \frac{2400}{100} = 24

Second method: (Pictorial model)

When we want get any % of 60,

Then, 100\% = 60

⇒ 10\% = 6

⇒ 40\% = 4\times 6 = 24

2. First method :

Let the number is x,

Since, 1\% = \frac{1}{100}

⇒ 15\% = \frac{15}{100}

Thus,  15 % of x = 30

\frac{15}{100}\times x = 30

\frac{15x}{100}=30

15 x = 3000\implies x=200

Second method: (Pictorial model)

15\% = 30

1\% = \frac{30}{15} = 2

100\%=200

Therefore, answer is 200.


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The annual salaries of all employees at a financial company are normally distributed with a mean of $34,000 and a standard devia
Alla [95]

Answer:

z=5

Step-by-step explanation:

We have been given that the The annual salaries of all employees at a financial company are normally distributed with a mean of $34,000 and a standard deviation of $4,000.

To solve our given problem we will use z-score formula.

z=\frac{x-\mu}{\sigma} where,

z=\text{z-score},

x=\text{Sample score},

\mu=\text{Mean},

\sigma=\text{Standard deviation}

Upon substituting our given values in z-score formula we will get,

z=\frac{54,000-34,000}{4,000}

z=\frac{20,000}{4000}

z=5

Therefore, the z-score of a company employee who makes an annual salary of $54,000 is 5.

4 0
2 years ago
Read 2 more answers
F is between e and g, EF=7 and FG=6. find EG
irina [24]
------- (EF)
------   (FG)
------ + ------- =
6 + 7 =
13
7 0
2 years ago
Avon Edwards worked 45.5 hours at $5 per hour. He made $100 in tips but no bonuses. Anything over 40 hours is paid time-and-a-ha
posledela

Answer:

1. D

2. B


Step-by-step explanation:

<u>Question 1:</u>

We can get Avon's earnings using the equation  W=HR+1.5VR+B+T

Where W is his earnings

HR is the regular hours (40 hours in this case)

V is overtime hours (hours over 40, 45.5 - 40 = 5.5 hours)

B is bonus (no bonus)

T is tips ( $100 tips, given)

and R is the rate (which is $5 per hour)


<em>Substituting the given info into the equation, we get:</em>

<em>W=HR+1.5VR+B+T\\W=(40)(5)+1.5(5.5)(5)+0+100\\W=341.25</em>


<em>So avon's earnings are $341.25</em>

<em>Answer choice D is right.</em>


<u>Question 2:</u>

The other employee needs to work x hours @ $15 per hour to equate or surpass $428. So we can set up the equation shown below and solve for x:

(15)(x)=428\\x=\frac{428}{15}\\x=28.53

Rounded to 1 decimal place, this is about 28.5 hours

Answer choice B is right.


6 0
2 years ago
Read 2 more answers
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
Mrs.thapa bought 150 kg of oranges.18 kg of oranges were rotten and not fit for selling.If she sold the remaining quantity of or
kogti [31]

Answer:

Rs.64

Step-by-step explanation:

<u>Amount of oranges:</u>

  • 150 kg

<u>Oranges sold:</u>

  • 150 - 18 = 132 kg

<u>Money made:</u>

  • 132* 80 = Rs. 10560

<u>Selling price of 150 kg:</u>

  • 10560/150 = Rs. 70.4

<u>Cost price:</u>

  • x+10% = 70.4
  • x*1.1= 70.4
  • x= 70.4/1.1
  • x= Rs.64
  • Cost price of oranges= Rs. 64
3 0
2 years ago
Read 2 more answers
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