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netineya [11]
3 years ago
8

It takes Ben 2 days to write reports, and it takes Kate 3 days to write reports. Bens rate, in reports per day, is how much grea

ter than Kate’s rate?
Mathematics
1 answer:
sergejj [24]3 years ago
4 0

Answer:

Ben's rate is \dfrac{1}{6} greater than Kate's rate.

Step-by-step explanation:

1. If it takes Ben 2 days to write reports, then his rate is \dfrac{1}{2} of reports per day.

2. If it takes Kate 3 days to write reports, then her rate is \dfrac{1}{3} of reports per day.

3. Ben's rate is

\dfrac{1}{2}-\dfrac{1}{3}=\dfrac{3-2}{6}=\dfrac{1}{6}

greater than Kate's rate.

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Ribbon is sold by the foot. If Heather is making 84 bows, ​how many feet​ of ribbon must she buy?
Anuta_ua [19.1K]

Answer:

84 feet of ribbon is needed

Step-by-step explanation:

Given : Ribbon is sold by the foot. If Heather is making 84 bows, ​how many feet​ of ribbon must she buy?

Explanation :  If ribbon is sold by the foot, then if Heather is making 84 bows, then Heather would need 84 feet

To put in simple terms - 1 bow needs 1 foot of ribbon

7 0
3 years ago
The circumference of a circle is 9 pi.What is the area,in square inches,of a circle?Express your answer in terms of pi.
Alla [95]

Answer:

20.25π

Step-by-step explanation:

The circumference (C) of a circle is calculated using the formula

C = 2πr ← r is the radius

given C = 9π, then

2πr = 9π ( divide both sides by 2π )

r = \frac{9\pi }{2\pi } ( cancel the π on numerator/denominator )

  = 4.5

The area (A) of a circle is calculated using the formula

A = πr² = π × 4.5² = 20.25π

5 0
3 years ago
Please help!!
erastova [34]

Answer:

  180, 180, 148, 180, 148

Step-by-step explanation:

The two rules in play here are ...

  • the sum of interior angles of a triangle is 180°
  • the angles of a linear pair are supplementary (they total 180°)

__

The first of these rules answers the first two questions:

  • interior angles total 180°
  • angles 1, 3, 4 total 180°

We can subtract the measure of angle 1 from both sides of the previous equation to find the sum of the remaining two angles.

  • angles 3 and 4 total 148°

The second rule answers the next question:

  • angles 1 and 2 total 180°

As before, subtracting the value of angle 1 from both sides of the equation gives ...

  • angle 2 must be 148°

_____

<em>Additional comment</em>

Of course, the subtraction property of equality comes into play, also. For some unknown, X, you have (in both cases) ...

  X + 32° = 180°

  X +32° -32° = 180° -32° . . . . . . subtraction property of equality

  X = 148° . . . . . . . . simplify

In the first case, X is the sum of angles 3 and 4. In the second case, X is angle 2 only.

7 0
3 years ago
Sunflower growth 1 week it grew 2 and va half inches in two weeks it grew 2 and 3 fourth in 3 weeks it grew 3 and one fourth how
Liula [17]

Answer:

The Growth of sunflower duing 3 weeks is 8.5 inches or 8 (1/2).

Step-by-step explanation:

Given:

Growth of sunflower each week .

To find :

Total growth during 3 weeks?

Solution:

According to given data:

Growth is

  1. 1st week=2 and 1/2 inches=5/2=2.5 inches .
  2. 2nd week =2 and 3/4 inches=11/4 inches.
  3. 3rd week=3 and 1/4 inches=13/4  inches.

Total growth is given by,

=growth of (1st week +2 week+ 3 week)

=5/2+11/4+13/4

=34/4

=17/2

=8 and 1/2 inches.

Hence the overall growth is about 17/2 or 8.5 inches in 3 weeks .

6 0
3 years ago
What is the surface area of the triangular prism
Harrizon [31]

Answer:

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3 0
3 years ago
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