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Margaret [11]
2 years ago
6

Please help and tell me how to do this 20 POINTS

Mathematics
2 answers:
OLga [1]2 years ago
7 0

Answer:

Q13.9

Q14. 200

Q15. -10

Q16. -300

Q17. -276

Q18. -66

Step-by-step explanation:

For Q13, 14, 15 and 16

For questions involving negative integers its good to reference a number line (see attached picture), if a number with a - (negative sign) in front of it is bigger, the number will be smaller! Having 5 less apples is more than having 10 less apple, eg. -5 is bigger than -10.

For Q17 and 18

An integer is a whole number, like 3, 4, -1, -6 and so on. For 17, death valley has an elevation BELOW sea level, meaning it is under the level of the sea. Therefore it is a negative value as it is LESS THAN the sea (you are deeper swimming below the ocean than floating above it)! For 18, the number is LESS THAN 0, check the attached picture! If something is BELOW 0 then it is negative.

svp [43]2 years ago
3 0
The answers are :
13) 9
14) 200
15) -10
16) -300

17) -276
18) -66
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Answer:

see explanation

Step-by-step explanation:

(i)

\frac{x}{3} + \frac{y}{2} = 1 ( multiply through by 6 to clear the fractions )

2x + 3y = 6 ( subtract 2x from both sides )

3y = - 2x + 6 ( divide through by 3 )

y = - \frac{2}{3} x + 2

(ii)

The equation of a line in slope- intercept form is

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with gradient m = - \frac{2}{3}

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2 years ago
How many dollars do you have if you have 90 nickels, 16 dimes, 16 quarters, and 7 fifty-cent pieces? Show your work and explain
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Answer:

$13.60

Step By Step:

A nickle is worth 5 cents.

A dime is worth 10 cents.

A quarter is worth 25 cents.

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25 Cents • 16 Quarters = 400

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goldfiish [28.3K]

Answer:

(a) The total area of compound figure is 284.52ft^2.

(b) The total perimeter of compound figure is 68.84 ft.

Step-by-step explanation:

Perimeter: The total distance covered by the figure.

Area: It is defined as the space occupied by the figure.

Given:

Length of rectangular figure = 19 ft

Breadth of rectangular figure = 12 ft

Radius of circle, r = \frac{12ft}{2} = 6 ft

Part (a):

Now calculating the total area of the compound figure.

\text{Total area}=\text{Area of rectangular figure}+\frac{1}{2}\times \text{Area of circle}\\\\\text{Total area}=\text{Length}\times \text{Breadth}+\frac{1}{2}\times \pi r^2

Now putting all the given values in this formula, we get:

\text{Total area}=(19ft\times 12ft)+\frac{1}{2}\times 3.14\times (6ft)^2\\\\\text{Total area}=284.52ft^2

Part (b):

Now calculating the total perimeter of the compound figure.

\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times \text{Circumference})\\\\\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times 2\times \pi \times r)

Now putting all the given values in this formula, we get:

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Check the picture below.

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