Andy cut rope for an activity at outdoor camp. He had 504 centimeters of rope to cut into equal-length pieces. How many of the ways given below would use the entire amount of rope? Circle all that apply. A. 12 pieces of 42.3 centimeter long rope B. 15 pieces of 33.6 centimeter long rope C. 16 pieces of 31.5 centimeter long rope D. 20 pieces of 25 centimeter long rope E. 35 pieces of 14.4 centimeter long rope

Answers

Answer 1
Answer:

Answer: B, C, E

Step-by-step explanation:

For us to know if the options are correct, we just have to multiply the length the rope was cut into by the number of pieces and check if it equals 504 centimeter.

A. 12 pieces of 42.3 centimeter long rope.

= 12 × 42.3

= 507.6

This is wrong

B. 15 pieces of 33.6 centimeter long rope

= 15 × 33.6

= 504cm

This is correct

C. 16 pieces of 31.5 centimeter long rope

= 16 × 31.5

= 504cm

This is correct

D. 20 pieces of 25 centimeter long rope

= 20 × 25

= 500cm

This is incorrect

E. 35 pieces of 14.4 centimeter long rope

= 35 × 14.4

= 504cm

This is correct

Therefore, the correct option are B, C and E.


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Which of the following is true of the data set represented by the box plot?a. The data contains at least one outlier.

b. The mean and median are most likely the same or very close.

c. The data are skewed to the right.

d. The median is 11.

Answers

i would put the answer as b
B the median and mean are very close or the same because the box plot is very symmetrical

In the diagram below, the measure of angle XAY is 72° (m∠XAY = 72°). Since the measure of the intercepted arc XY is 144°, a student named Naomi mistakenly claims that the measure of ∠XBY is also 144°.a. In a short paragraph, explain the source of Naomi’s error. In your response, be sure to describe the problem in terms of the following two formulas:

inscribed angle = 1/2 · (intercepted arc) and
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Be sure to use important vocabulary like “inscribed angle,” “central angle”, and “intercepted arc”.

Answers

Answer:

Angle of the intercepted arc is equal to the angle at the centre (central angle) but B is not the centre hence XBY is not 144°.

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Hence not 144°

On field trips, there must be 2 chaperones for every 15 students. Which ratio correctly expresses the ratio of students to chaperones? 2:15 15:17 17:15 15:2

Answers

15 students to 2 chaperones is expressed by the student to chaperone ratio
  15 : 2

Answer:

D

Step-by-step explanation:

Good luck!

Which expression is equivalent to 0.8a−2(b−0.3a)+b ?

Answers

1.4 a - b expression is equivalent to 0.8a−2(b−0.3a)+b.

Two teaspoons' worth of polyunsaturated fats should be consumed daily. A unit is equal to one measure of liquor or a glass of wine. It is certain that calls for similar pay increases will be heard. When a hiring manager refers to "comparable experience" in a job description, they may be referring to non-paid experience, such as an internship or volunteer work, in place of paid work experience.

0.8a - 2 (b - 0.3a) + b

Expand the expression.

0.8a - 2b - 2(-0.3a) + b

Determine the sign.

0.8a - 2b - 2*0.3a + b

Multiply the monomials.

0.8a - 2b +0.6a + b

Combine like terms.

1.4a - b

Learn more about equivalent here

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Answer: 1.4a-b

Step-by-step explanation:

The vertices of triangle QRS have coordinates Q(1, −2), R(3, −2), and S(2, −4).Which coordinates are the coordinates of the vertices of triangle QꞌRꞌSꞌ when triangle QRS is reflected across the x-axis?

A.
Qꞌ(−1, −2), Rꞌ(−3, −2), Sꞌ(−2, −4)

B.
Qꞌ(1, 2), Rꞌ(3, 2), Sꞌ(2, 4)

C.
Qꞌ(2, 1), Rꞌ(2, 3), Sꞌ(4, 2)

D.
Qꞌ(2, −4), Rꞌ(6, −4), Sꞌ(4, −8)

Answers

The vertices of triangle QRS have coordinates Q(1, −2), R(3, −2), and S(2, −4). The coordinates are the coordinates of the vertices of triangle QꞌRꞌSꞌ when triangle QRS is reflected across the x-axis Qꞌ(1, 2), Rꞌ(3, 2), Sꞌ(2, 4). The answer is  letter B.

write an equation in point slope form for the line through the given point with the given slope (8,3) m =6

Answers

Hope it helped you.
Point slope form
y -y1=m(x-x1) where (x1,y1) is the point and m is the slope
y - 3 = 6(x -8)