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r-ruslan [8.4K]
3 years ago
11

Which ones are greater than the other

Mathematics
1 answer:
irakobra [83]3 years ago
6 0

1. 0.91<0.93; 0.91 is farther away from the whole number 1 so it is less than 0.93.

2. 0.5=0.50; 0.5 and 0.50 are the same, since the decimal can be written with or without the zero.

3. 1.08<1.6; 1.08 is farther away from the whole number 2, so it is less than 1.6.

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A certain company manufactures skateboards and rollerskates. It takes them 2 units of labor and 1 unit of materials to produce a
Alisiya [41]

Answer: The company should produce 7 skateboards and 16 rollerskates in order to maximize profit.

Step-by-step explanation: Let the skateboards be represented by s and the rollerskates be represented by r. The available amount of labour is 30 units, and to produce a skateboard requires 2 units of labor while to produce a rollerskate requires 1 unit. This can be expressed as follows;

2s + r = 30 ------(1)

Also there are 40 units of materials available, and to produce a skateboard requires 1 unit while a rollerskate requires 2 units. This too can be expressed as follows;

s + 2r = 40 ------(2)

With the pair of simultaneous equations we can now solve for both variables by using the substitution method as follows;

In equation (1), let r = 30 - 2s

Substitute for r into equation (2)

s + 2(30 - 2s) = 40

s + 60 - 4s = 40

Collect like terms,

s - 4s = 40 - 60

-3s = -20

Divide both sides of the equation by -3

s = 6.67

(Rounded up to the nearest whole number, s = 7)

Substitute for the value of s into equation (1)

2s + r = 30

2(7) + r = 30

14 + r = 30

Subtract 14 from both sides of the equation

r = 16

Therefore in order to maximize profit, the company should produce 7 skateboards and 16 rollerskates.

6 0
3 years ago
Janet makes homemade dolls. Currently, she produces 23 dolls per month. If she increased her production by 18%, how many dolls w
SCORPION-xisa [38]

Answer:

First, calculate 18% of 23.

23 x 0.18 = 4.14

Then, add this value (the increase) to the original value of 23.

23 + 4.14 = 27.14

Rounding off, we get 27.

Step-by-step explanation:

8 0
2 years ago
Explain how 7/12 is greater than 1/3 but less than 2/3
Zepler [3.9K]
First we will change them on the same denominator which will be 12. If we do something to the denominator we must do the same to the numerator so :
For 1/3 we get  4/12 because (1/3)*4 = 4/12
And for 2/3 we get 8/12 because (2/3)*4 = 8/12
So 1/3 is the smaller fraction, 7/12 is in the middle and 2/3 is the bigger fraction.
6 0
3 years ago
Read 2 more answers
Do i begin with division first?
lara31 [8.8K]
Use PEMDAS. Division comes before addition. start with 9/25 ÷ 18/15. You will divide those like you would normally divide a fraction, so yes, do the inverse of 18/15 and multiply that by 9/25. after you've done that, take that answer and add the 5/8 to it.
:)
5 0
2 years ago
Read 2 more answers
If a special sauce in a hamburger restaurant is made with a 1:1 ratio by volume of ketchup to mayonnaise, how much mayonnaise is
Bumek [7]

Answer:

4 quart of mayonnaise

Step-by-step explanation:

Step 1: The special sauce made with 1:1 ratio of ketchup to mayonnaise.

It means 1 quart of ketchup to 1 quart of mayonnaise.

Step 2: To make 4 quart of sauce.

They need 4 quart of ketchup and 4 quart of mayonnaise.

Therefore, the answer is 4 quart of mayonnaise.

6 0
3 years ago
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