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guapka [62]
4 years ago
11

Isabella's ballet class is preforming a spring recital for which they need butterfly costumes. Each butterfly costume is made fr

om 3 3/5 yards of fabric. Use Distributive Property to find the number of yards of fabric needed for 5 costumes. (Hint: A mixed number can be written as the sum of an integer and a fraction.)
Mathematics
1 answer:
Ymorist [56]4 years ago
7 0

We are given that:

fabric required = 3 3/5 yards

costumes = 5

 

We can write fabric required as a fraction in the form of:

(3 * 5) + 3 = 18

fabric required = 18 / 5 yards

 

So total fabric required is = (18 / 5 yards) * 5 = 18 yards

 

Answer:

<span>18 yards</span>

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List 2 integers that are congruent to 4 modulo 14.
vivado [14]

Answer:

32, 46

Step-by-step explanation:

Remember, a is congruent to b modulo d if d divides a-b.

Now, the problem says that b=4 and d=14.

Let a=32. Observe that a-b=28 and \frac{28}{14}=2, then 32 is congruent to 4 modulo 14.

Let a=46. Observe that a-b=46-4=42 and \frac{42}{14}=3, then 46 is congruent to 4 modulo 14.

7 0
4 years ago
What is the general form of the equation for the given circle? A. x2 + y2 − 8x − 8y + 23 = 0 B. x2 + y2 − 8x − 8y + 32 = 0 C. x2
raketka [301]

Answer:

The correct option is A....

Step-by-step explanation:

Look at the attached picture:

A=(4,7)

B=(7,4)

The standard form of circle equation is:

(x-h)^2 +(y-k)^2 = r^2

Here h and k is the centre which is (4,4)

radius = 7-4 = 3

Now use the formula to find the answer:

(x-h)^2 +(y-k)^2 = r^2

(x - 4)^2 + (y - 4)^2 = 3^2

If we expand the formula we get:

x^2 - 8x + 16 + y^2 - 8y + 16 = 9

x^2 - 8x + y^2 - 8y + 23 = 0

Thus the correct option is A....

8 0
3 years ago
A cube made of an unknown material has a height of 9 cm. The mass of this cube is 3.645 grams. What is the density of this cube?
ehidna [41]

Answer:

density =  \frac{mass}{volume}

mass = 3.645 g

volume = 9×9×9

= 729 cm³

density = 3.645/729

= 0.005 gcm^-3

Step-by-step explanation:

the volume is 729 cm³ cause the given height is 9cm and it is a cube. cube has equal sides so their lengths are the same.

volume = length × height × width

8 0
3 years ago
What is 90 out of 95 written as a fraction?
Rina8888 [55]
90\ out\ of\ 95 = \frac{90}{95}\ which\ simplifies\ to\ \frac{18}{19}
4 0
3 years ago
Read 2 more answers
Can someone please help me find x.
Sergeeva-Olga [200]

Answer:

  • We have similar triangles
  • Hence 6x+2=x+3
  • 5x=1
  • x=1/5

6 0
3 years ago
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