MATHEMATICS HIGH SCHOOL

In the same flyer, squid rings are priced at $8.99 for 550 g. What is the unit price per kg?(answer with the entire unit rate - $0.000 / kg rounded to the nearest thousandth leaving spaces as indicated in the example here.)

Answers

Answer 1

Answer:

9514 1404 393

Answer:

$16.345 / kg

Step-by-step explanation:

You know there are 1000 grams in 1 kilogram. (The prefix kilo- means 1000.) So 550 grams is 550/1000 kg = 0.55 kg.

The price per kilogram is found by dividing the price by the corresponding number of kilograms:

unit price = $8.99 / (0.55 kg) = $16.3454545... (2-digit repeat) / kg

Rounded to 3 decimal digits, the unit rate is ...

unit rate = $16.345 / kg

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Solve each system of equations.

6x + 5y = 10
7x - 3y = 24

Answers

$\begin{cases} 6x + 5y = 10 \n 7x - 3y = 24 \end{cases}\n\begin{cases} 5y = -6x+10\ \ / :5 \n 7x - 3y = 24 \end{cases}\n\begin{cases} y =-(6)/(5)x+2 \n 7x - 3y = 24 \end{cases}\n\nsubstition \n$

$7x - 3y = 24 \n 7x - 3 \cdot (-(6)/(5)x+2) = 24\n7x+(18)/(5)x-6=24\n (35)/(5)x+(18)/(5)x =24 +6\n(53)/(5)x =30 \ \ / \cdot (5)/(53)\n\nx=(150)/(53)$

$y= -(6)/(5)x+2 \ny= -(6)/(5) \cdot (150)/(53) +2\ny=-(6\cdot 30)/(53)+2\ny=-(180)/(53)+ (106)/(53)\n \n y= -(74)/(53)\n\n Answer : x=(150)/(53) \ \ and \ \y= -(74)/(53)$

Solve each proportion: 4/15=x/75 and t/9=35/6 how do you work these please show steps thank you

Answers

multiplied by the cross

4/15 = x /75

15•x=4•75
15x=300
x= 300 : 15
x=20

t/9 = 35/6

9•35 = t•6
315 =6t
315 : 6 = t

52,5 = t

How does changing the scale change the distance represented?

Answers

The correct answer is:

It does not.

Explanation:

The scale of a graph just tells us how many units are between numbers. This does not change the overall distance represented.

For example, I can have two graphs on which the x-axis goes to 60. On one graph, I can count by 10s for my scale, while the other graph uses 5s. While the scales are different, the same distance is represented.

It does not. The fact that the scale may change, however, the distance between two object does not change at all. For an example, the distance between cities may stay the same while changing the scale. Therefore, it is a fact that the changing of the scale does not change the distance at all.

Carl is cutting pieces of string that are exactly 24 3/8 inches long. How many pieces can she cut from a ball of string that has 100 feet?

Answers

100 feet in inches is 1200 inches, and 24 3/8 as an improper fraction is 195/8. Divide 1200 by 195/8, or 1200/1 x 8/195. 1200/1 x 8/195 simplifies to 80/1 x 8/13, which equals 640/13. 640/13 equals about 49.23. So Carl can cut 49 FULL pieces.

The sum of three consecutive intergers is 174. What are the intergers?

Answers

I have no idea what intergers are.

If you were talking about integers (whole numbers) instead,
then you could make 174 with 57, 58, and 59 .

Let the middle integer = x.
That means we have (x-1) + x + (x+1) = 174
3x = 174
x = 58
x-1 = 57
x+1 = 59

The number of 8th graders in choir is three times the number of the 7th graders. if there are 48 8th graders choir how.many 7th graders are in choir

Answers

divide 48 by 3, for every three 8th graders, there is one 7th grader in choir
48÷3=16
There's 16 7th graders in choir !!

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