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Alchen [17]
3 years ago
6

Mary is cutting strips of paper for a craft project. Each strip is 1/6 of a sheet of paper. Mary has 2/3 of a sheet of paper lef

t to cut. She wants to determine how many more strips of paper she can cut from what is left.
Mary can cut ___ more strips than paper
Mathematics
1 answer:
nevsk [136]3 years ago
6 0

Answer:

4 more strips

Step-by-step explanation:

Given that:

Length per strip = 1/6

Fraction of paper left = 2/3

Number of strips that can be cut from the Fraction left ;

Fraction left ÷ length per strip

2/3 ÷ 1/6

2/3 * 6/ 1

(2 * 6) / (3 * 1)

12 / 3

= 4

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Selena was comparing the flying speeds of different birds in science class. Which of the three birds flies fastest? Why?
Mashcka [7]

Answer:

Option C. The robin flies fastest because its rate is 15 m/s

Step-by-step explanation:

Let

x -----> the time in seconds

y ----> the distance in meters

The speed is equal to divide the distance by the time

In this problem, the slope or unit rate of the linear equation is the same that the speed

<em>Robin's Flight</em>

<em>Find the slope</em>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

take two points from the table

(2,30) and (3,45)

substitute in the formula

m=\frac{45-30}{3-2}

m=\frac{15}{1}

m=15\frac{m}{sec}

<em>Cardinal's Flight</em>

y=10x

m=10\frac{m}{sec}

<em>Blue Jay's Flight</em>

take two points from the graph

(0,0) and (2,20)

substitute in the formula

m=\frac{20-0}{2-0}

m=\frac{20}{2}

m=10\frac{m}{sec}

Compare

The robin flies fastest because its rate is 15 m/s

4 0
4 years ago
Rita makes and sells necklaces. The materials to make each necklace cost $2.75. Last week she made 8 necklaces and wants to make
Lisa [10]

9514 1404 393

Answer:

  The equation should be 8 (x minus 2.75) = 78, and she needs to sell each necklace for $12.50.

Step-by-step explanation:

The contribution margin of each necklace is the difference between its selling price (x) and its cost (2.75). Then the total profit from 8 necklaces would be ...

  8(x -2.75)

If Rita wants that profit to be $78, then she needs to solve the equation ...

  8(x -2.75) = 78 . . . . correct equation

The solution is ...

  x -2.75 = 9.75 . . . . divide by 8

  x = 12.50 . . . . . . . . add 2.75

She needs to sell each necklace for $12.50.

4 0
3 years ago
Read 2 more answers
A square has vertices A,B,C and D
Rama09 [41]

Answer: Bruh im not even close to learning that stuff lol

Step-by-step explanation:

3 0
4 years ago
If A ABC ~ ARST and m 2 A = 42°, m 2 C = 60°,<br> find the measure of &lt; S.
Free_Kalibri [48]

Answer:

78

Step-by-step explanation:

∠A + ∠B + ∠C = 180   { Angle sum property of triangle}

42 + ∠B + 60 = 180

∠B + 102 = 180

∠B = 180 - 102 = 78

In similar triangles, corresponding angles are congruent.

∠S ≅ ∠B

∠S = 78°

7 0
3 years ago
If θ is a first-quadrant angle in standard position with P(u, v) = (3, 4), evaluate sin 2 θ
kenny6666 [7]

Answer:

24/25

Step-by-step explanation:

sin 2 θ = 3÷25/8 =24/25

from web2calc

4 0
3 years ago
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