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uysha [10]
3 years ago
15

Using the GCF you found in Part B, rewrite 35 + 63 as two factors. One factor is the GCF and the other is the sum of two numbers

that do not have a common factor. Show your work. (4 points)
Mathematics
1 answer:
nikklg [1K]3 years ago
3 0
__7_|_35+63_
_____|__9+5__
35+63=7(9+5)=7<span>14=98 or 35+63=98</span>
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quester [9]

Answer:

D. clockwise 90 degrees , rotation , enlargement

8 0
3 years ago
Read 2 more answers
What is the mean weight ___ pounds ?
natulia [17]
It is 84 ibs
Explanation
It’s actually easy if you learn 5 minutes of it
But thats the correct answer
8 0
3 years ago
Roberta has $10,540 to invest. She plans to invest her money in certificates of deposit (CDs) that have 2.1% interest, a stock p
ira [324]

Answer:

The amount invested in CDs is  $1,340

The amount invested in the stock portafolio is $6,900

The amount invested in the saving accounts is $2,300

Step-by-step explanation:

Let

x ---->the amount invested in CDs at 2.1%

y ---> the amount invested in the stock portfolio at 2.5%

z ---> the amount invested in the savings account at 1.5%

x+y+z=10,540 ----> equation A

z=\frac{1}{3}y ----> equation B

substitute equation B in equation A

x+y+\frac{1}{3}y=10,540

x+\frac{4}{3}y=10,540

x=10,540-\frac{4}{3}y ----> equation C

we know that

The total interest earned by the three amount must be equal to $231.69

so

0.021x+0.025y+0.015z=231.69 ----> equation D

substitute equation B and equation C in equation D

0.021(10,540-\frac{4}{3}y)+0.025y+0.015(\frac{1}{3}y)=231.69

solve for y

221.34-0.0315y+0.025y+0.005y=231.69

0.0015y=231.69-221.34

0.0015y=10.35

y=\$6,900

<em>Find the value of x</em>

x=10,540-\frac{4}{3}(6,900)

x=\$1,340

<em>Find the value of z</em>

z=\frac{1}{3}(6,900)

z=\$2,300

7 0
3 years ago
In the figure below, BC is a diameter of circle P. The length of BP is 3 units.
Anestetic [448]

Answer:

(7/12)*pi

Step-by-step explanation:

ACD/circumference = [35*pi/180]/2pi

<=>

ACD/[2*pi*3] = [35*pi/180]/2pi

7 0
3 years ago
The area of a rectangle gets reduced by 9 square units if its length is reduced by 5 units and the breadth is increased by 3 uni
ale4655 [162]

length = 17 units, breadth = 9 units

Step-by-step explaination:-

Let the length and the breadth of the rectangle be x units and y units respectively.

Then the area of rectangle = xy square units

According to given conditions, we have

(x -5)(y + 3) = xy - 9 and (x + 3)(y + 2) = xy + 67

=> xy + 3x - 5y - 15 = xy - 9

and xy + 2x + 3x + 6 = xy + 67

=> 3x - 5y - 6 = 0......eqn(i)

and 2x + 3y - 61 = 0.....eqn(ii)

Multiplying equation (i) by 2 and equation (ii) by 3, we get...

6x - 10y - 12 = 0....eqn(iii) and,

6x + 9y - 183 = 0....eqn(iv)

Subtracting equation (iii) from equation (iv), we get...

19y - 171 = 0 => y = 9.

Substituting this value of y in equation (ii), we get

2x + 3 × 9 - 61. = 0 => 9x - 34 = 0 => x = 17.

Hence, the length of rectangle = 17 units and

breadth = 9 units.

<h3>Hope it helps you!!</h3>
5 0
1 year ago
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