A scoutmaster bought 35m of rope. He used 4/7 of the rope for knot tying. How many meters of rope were used for knot tying?

Answers

Answer 1

Answer: In math...
"of" means ×
"is" means =

We need to find 4/7 of 35

4/7 of 35 = ?
4/7 × 35 = ?
4/7 × 35/1 = 140/7 = 20

He used 20 meters of rope.

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What is 2(x-7)-10+12-4x and the work for it

Answers

$2(x-7)-10+12-4x \n \n 2(x - 7) - 4x + 2 \n \n 2x - 14 - 4x + 2 \n \n (2x - 4x) - 14 + 2 \n \n -2x - 14 + 2 \n \n -2x - 12 \n \n$

The answer is: -2x - 12.

Mr hatch bout 4 round trip airplane tickets for $417 each. he also paid $50 in baggage fees. how much did mr hatch spend?

Answers

Answer:

$1718

Step-by-step explanation:

4 * 417 + 50

1668+50

1718

Mr Hatch spent $1718

Calculate the x and f(x) intercepts of f(x) = 3x 2 − 12.

Answers

Answer:

-6

and there you have it plain and simple

Answer:

see explanation

Step-by-step explanation:

To find the x- intercepts let f(x) = 0, that is

3x² - 12 = 0 ( add 12 to both sides )

3x² = 12 ( divide both sides by 3 )

x² = 4 ( take the square root of both sides )

x = ± $√(4)$ = ± 2

Thus x- intercepts are at (- 2, 0 ) and (2, 0 )

To find the y- intercept (f(x)) let x = 0, thus

f(0) = 3 × 0² - 12 = 0 - 12 = - 12

Thus y- intercept at (0, - 12 )

Ana Maria has applied for United States citizenship. She has studied American history and government for a long time and thinks she is ready to take the citizenship test. When she took the practice test online she answered forty-seven questions correctly and only missed three. What percent of the questions did she get right?

Answers

Answer:

≈93.6

Step-by-step explanation:

percent right = answers right/ anwers wrong

Answers right= 47-3=44

%=44/47

≈93.6

How do you factor 80y^2-4y-4? or is it prime?

Answers

$80y^2-4y-4\n\na=80;\ b=-4;\ c=-4\n\n\Delta=b^2-4ac\n\n\Delta=(-4)^2-4\cdot80\cdot(-4)=16+1280=1296 > 0\n\ny_1=(-b-\sqrt\Delta)/(2a);\ y_2=(-b+\sqrt\Delta)/(2a)\n\n\sqrt\Delta=√(1296)=36\n\ny_1=(4-36)/(2\cdot80)=(-32)/(160)=-(1)/(5);\ y_2=(4+36)/(2\cdot80)=(40)/(160)=(1)/(4)$

$80y^2-4y-4=80(y+(1)/(5))(y-(1)/(4))\n\n\n80(y+(1)/(5))(y-(1)/(4))=4\cdot5\cdot4\cdot(y+(1)/(5))(y-(1)/(4))=4(5y+1)(4y-1)$

$80y^2-4y-4=80y^2-4y-16y+16y-4=80y^2-20y+16y-4\n\n=20y(4y-1)+4(4y-1)=(4y-1)(20y+4)$

$80y^2-4y-4=4(20y^2-5y+4y-1)=4[5y(4y-1)-(4y-1)]=\n \n=4(4y-1)(5y-1)$

X 4 ? 36 42
y 20 120 180 210

16
20
24
28

Answers

?=24
4x5=20
36x5=180
42x5=210

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