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kvv77 [185]
3 years ago
11

Yolanda has a piece of rectangular fabric measuring 30 centimeters by 9 centimeters. She uses half of the material to make a pup

pet. What is the area of the leftover fabric?
Mathematics
1 answer:
IRINA_888 [86]3 years ago
8 0
It is 67.5 centimeters
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If a straight line y = mx + c passes through the intersecting point of 3x - y = 8 and x+ 2y = 5 which is perpendicular to the li
Sindrei [870]

Answer:

Point of intersection:

3x - y = 8 -  -  - (a) \\ x + 2y = 5 -  -  - (b)

2 × equation(b) + equation (a):

7x = 21 \\ x = 3 \\  \\ y = 3x - 8 \\ y = 1

Point of intersection = (3, 1)

Perpendicular line:

3x + 6y - 11 = 0 \\ 6y =  - 3x + 11 \\ y =  -  \frac{1}{2} x +  \frac{11}{6}

General equation of line:

y = mx + c \\ 1 = (2 \times 3) + c \\ c =  - 5

<u>Value</u><u> </u><u>of</u><u> </u><u>m</u><u>:</u>

<u>m \times m {}^{i}  =  - 1 \\ m \times  -  \frac{1}{2}  =  - 1 \\ m = 2</u>

8 0
3 years ago
What is (2/x^2)^3 reduced to simplest form ?<br> A. 8x^-6 <br> B. 8x^6 <br> C. 6/x^6 <br> D. 8/ x^6
pashok25 [27]
<h2><em>What is (2/x^2)^3 reduced to simplest form ?</em></h2>

<em>A. 8x^-6 </em>

<em>B. 8x^6</em>

<em> C. 6/x^6</em>

<em> <u>D. 8/ x^6</u></em>

<em><u>hope </u></em><em><u>it</u></em><em><u> helps</u></em>

3 0
3 years ago
Sarah takes home $33,000 per year from her job as a computer repair person. Her only debt obligations are a car loan payment of
VikaD [51]

To find out how much money sarah takes per month we divided her total income by 12.

\frac{33000}{12}=2750

Therefore, Sarah takes home $2750 per month.

To find out Sarah monthly for her home we multiply his total salary per month by .20:

2750\cdot0.20=550

Therefore, he pays $550 for her gome.

The total amount he pays of debt is $505.

The monthly take home pay is greater than the total amount she pays per month.

7 0
2 years ago
A bag of marbles contains 13 red marbles, 9 blue marbles, and 12 green marbles. If one marble is chosen at random, which is the
Pachacha [2.7K]

Answer:

B. 11/17

Step-by-step explanation:

The total number of marbles in the bag is 34

13 + 9 + 12 = 34

Then you subtract 12 from 34, since you want to know the probability of NOT getting a green marble.

12 - 34 = 22

Then you plug them into the equation:

# of outcomes that satisfy the requirement/ total # of possible outcomes

22/34  = 11/17

Hope this helps!

4 0
3 years ago
What is 3.45(4) − 8.18(1)
harkovskaia [24]
3.45(4) = 13.8
8.18(1) = 8.18
13.8 - 8.18 = 5.62
8 0
3 years ago
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