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OLga [1]
1 year ago
7

Pattern A follows the rule "add 3" and Pattern B follows the rule "add 4." Pattern A 1 4 7 10 13 Pattern B 5 9 13 17 21 Which or

dered pairs are formed from combining a term in Pattern A with its corresponding term in Pattern B? Select all correct answers. (4, 13) (1, 4) (1, 5) (13, 17) (10, 17) (7, 13)
Mathematics
1 answer:
IceJOKER [234]1 year ago
6 0

Answer:

(1,5) (7,13) (10,17) (7,13)

Step-by-step explanation:

1 4  7  10  13

5 9 13 17 21

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Determine the area of the composite figure to the nearest whole number.
Arada [10]
So this is a two step process, first you must find the area of the rectangle, then find the area of the semicircle.

So to find the area of a rectangle, you use: Length*Height=Area
In this case that would be: 7*2=14cm

Next you find the area of the semicircle, to do this you first find the area of the circle (Pi*r^2) then divide it by 2.

The diameter of the circle is 4 because: 7-2-1=4cm
Next divide that by 2 so that you get the radius: 4/2=2cm
Not you can plug that into the equation to get the area of the circle: Pi*2^2<span>≈13cm^2
Next divide it by 2 so that you get the area of the semicircle:13/2</span><span><span>≈</span>6cm^2

At this point you can add the area of the semicircle to the area of the rectangle: 14+6=20cm^2

So your final answer is 20cm^2!
</span>
5 0
2 years ago
Working her way through school, Kathy works two part-time jobs for a total of 23 hours a week. Job A pays $5.70 per hour, and Jo
trapecia [35]

Answer:

<u>Kathy worked 11 hours at job A and 12 hours at job B, the week she made US$ 146.70.</u>

Step-by-step explanation:

1. Let's review all the information given for solving this question:

Rate per hour of Job A = US$ 5.70

Rate per hour of Job B = US$ 7.00

Earnings received by Kathy during the week = US$ 146.70

Total time worked by Kathy during the week = 23 hours

Hours at job A = x

Hours at job B = 23 -x

2. Let's find how many hours Katy worked at each job:

This is the equation that we'll use:

5.70x + 7 (23 - x) = 146.70

5.70x + 161 - 7x = 146.70

- 1.3x = 146.70 - 161 (Subtracting 161 at both sides)

-1.3x = - 14.30

1.3x = 14.3 (Multiplying by - 1 at both sides)

x = 14.3/1.3 = 11 (Dividing by 1.3 at both sides)

<u>Kathy worked 11 hours at job A and 12 hours at job B.</u>

3. Proof of x = 11

5.70 x + 7 (23 - x) = 146.70

5.70 (11) + 7 (23 - 11) = 146.70

62.70 + 7 (12) = 146.70

62.70 + 84 = 146.70

146.70 = 146.70

<u>The value of x = 11 is correct.</u>

Note. I provided the same answer to question 13954115.

3 0
2 years ago
find three consecutive even integers so that the twice the sum of the second and third is twelve less than six times the first
zysi [14]

n, n + 2, n + 4 - three consecutive even integers

the twice the sum of the second and third: 2[(n + 2) + (n + 4)]

twelve less than six times the first: 6n - 12

The equation:

2[(n + 2) + (n + 4)] = 6n - 12

2(n + 2 + n + 4) = 6n - 12

2(2n + 6) = 6n - 12       <em>use distributive property</em>

(2)(2n) + (2)(6) = 6n - 12

4n + 12 = 6n - 12       <em>subtract 12 from both sides</em>

4n = 6n - 24       <em>subtract 6n from both sides</em>

-2n = -24        <em>divide both sides by (-2)</em>

n = 12

n + 2 = 12 + 2 = 14

n + 4 = 12 + 4 = 16

<h3>Answer: 12, 14, 16</h3>
4 0
3 years ago
Find the perimeter area and area of the polygon.
Alika [10]
The area is 76 ft squared, and the perimeter is 43.1 ft. CORRECT ME IF IM WRONG BECAUSE I WAS SO BAD AT AREA/PERIMETER
4 0
2 years ago
Noah has just purchased a previously owned home. he put $5,000 towards a down payment and took out a $65,000 mortgage. noah know
cricket20 [7]
The answer to your question is B) $700 because 1% of the $5,000 down payment and the $65,000 mortgage so $70,000 is $700.
5 0
1 year ago
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