Change to an improper fraction 4 2/3=

Answers

Answer 1

Answer: Solutions

To solve the problem the first step is to multiply the whole number by the fraction's denominator (4 x 3).Add the numerator (2) to the product.

4 * 3 = 12

12 + 2 = 14

= 14/3

Answer 2

Answer: First multiply the denominator by the whole number.
3*4=12
Now add the numerator.
12+2=14
14 is the numerator, denominator stays the same.
You answer is 14/3!

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Matilda is filling a circular section of her porch with colorful pebbles. She knows the diameter of the circular section is 15ft, and each bag of pebbles covers 10ft. How many bags of pebbles will Matilda need? A. 15 bags B. 16 bags C. 17 bags D. 18 bags

Answers

Answer:

D. 18 bags

Step-by-step explanation:

Given:

Matilda is filling a circular section of her porch with colorful pebbles.

Diameter of circular section = 15 feet.

Each bag of pebbles covers 10 square feet.

Question asked:

How many bags of pebbles will Matilda need?

Solution:

Diameter of circular section = 15 feet

Radius, r = $(Diameter)/(2)=(15)/(2) =7.5\ feet$

$Area\ of\ circular\ section=\pi r^(2)$

$=(22)/(7) *7.5*7.5=(1237.5)/(7)=176.78} \ square\ feet$

10 square feet is covered by number of bag of pebbles = 1

1 square feet is covered by number of bag of pebbles = $(1)/(10)$

176.78 square feet is covered by number of bags of pebbles =

$(1)/(10)*176.78=17.67$

We found up to 17 bags of pebbles there is still some place left to fill the section:-

Thus, Matilda need about 18 bags of pebbles to fill the circular section of her porch.

XZ=15 and the perimeter of XWZ is 50. what is the length of WZ?

Answers

Assuming that this is an Isosceles Triangle which has 2 sides equal, then we can assume as well that XZ being the base of 15 and the total perimeter is XWZ = 50.

Perimeter = X + W + Z

Therefore;

XWZ (50) – XZ (15) = 35

Since we are assuming that this is an Isosceles triangle then 2 sides should have equal distance.

35 / 2 = 17.5

Hence, XW = 17.5 and ZW = 17.5

Perimeter = 15 + 17.5 + 17.5 = 50

The opposite of 10/7

Answers

The opposite of 10/7 is -10/7.

The reciprocal of 10/7 would be 7/10.

By "opposite" do you mean the reciprocal?

Write the standard form equation of the circle( 7,-5)

Answers

Answer:

(x-7)²+(y+5)²=25

Step-by-step explanation:

The standard form of a circle is (x-h)²+(y-k)²=r²

(h,k) is the center

r is the radius

h=7

k=-5

r=5

(x-7)²+(y--5)²=5²

(x-7)²+(y+5)²=25

What is the fractional equivalent of 0.2666
12/45
26/90
28/90

Answers

x = 0.2666... |multiply both sides by 10

10x = 2.666... |multiply both sides by 10

100x = 26.666...

100x - 10x = 26.666... - 2.666...

90x = 24 |divide both sides by 90

x = 24/90

x = 12/45

Answer: 0.2666... = 12/45

$Let x = 0.2666$

$10x = 2.666$

$100x = 26.666$

$100x - 10x = 26.666= - 2.666$

$90x = 24$

$x = 24/90$

$x = 12/45$

Fraction = 12/45

at a school choir concert 256 students are standing in rows. if the number of students in each row is equal to the total number of rows find the number of students in each row

Answers

(16 rows) x (16 students/row) = 256 students .

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