All categories

3 years ago

Cut 2 2/3 yards of material from a piece 5 1/2 yards long how much material is left

Mathematics

1 answer:

slava [35]3 years ago

8 0

2 and 5/6

I found this by subtracting the two fractions

Hope this helps

If there are any questions leave a comment

You might be interested in

Which is the value of the expression (StartFraction (10 Superscript 4 Baseline) (5 squared) Over (10 cubed) (5 cubed)) cubed?

Flura [38]

Answer:

The value to the given expression is 8

Therefore $\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=8$

Step-by-step explanation:

Given expression is (StartFraction (10 Superscript 4 Baseline) (5 squared) Over (10 cubed) (5 cubed)) cubed

Given expression can be written as below

$\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3$

To find the value of the given expression:

$\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=\frac{((10^4)(5^2))^3}{((10^3)(5^3))^3}$

( By using the property ( $(\frac{a}{b})^m=\frac{a^m}{b^m}$ )

$=\frac{(10^4)^3(5^2)^3}{(10^3)^3(5^3)^3}$

( By using the property $(ab)^m=a^mb^m$ )

$=\frac{(10^{12})(5^6)}{(10^9)(5^9)}$

( By using the property $(a^m)^n=a^{mn}$ )

$=(10^{12})(5^6)(10^{-9})(5^{-9})$

( By using the property $\frac{1}{a^m}=a^{-m}$ )

$=(10^{12-9})(5^{6-9})$ (By using the property $a^m.b^n=a^{m+n}$ )

$=(10^3)(5^{-3})$

$=\frac{10^3}{5^3}$ ( By using the property $a^{-m}=\frac{1}{a^m}$ )

$=\frac{1000}{125}$

$=8$

Therefore $\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=8$

Therefore the value to the given expression is 8

3 0

3 years ago

Read 2 more answers

I need help with this plzzzzzzz

zmey [24]

Answer: -4

Step-by-step explanation: If you add all the numbers marked, -7 + -4 + -3 + 2 + 7 you will get -4.

3 0

3 years ago

A series consists of some numbers such that the summation of the divisors of any number of that series is 1 less than twice of t

Varvara68 [4.7K]

Answer:

The 9th term of the series is 256

Step-by-step explanation:

Here we have the numbers as follows

1, 2, 4 from we have;

1 = The first term of the series

2 = The second term of the series

4 = The third term of the series

From the definition of the series, the sum of the factors is 1 less than twice the number, therefore, since 4 satisfies all the conditions, we observe that;

4×2×1 = 8 also satisfies all the conditions, hence we have;

8 = The fourth term of the series

8 × 2 = 16 = The fifth term of the series

16 × 2 = 32 = The sixth term of the series

32 × 2 = 64 = The seventh term of the series

64 × 2 = 128 = The eight term of the series

Therefore, the 9th term of the series = 128 × 2 = 256.

7 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Chuge%5Ccolor%7Byellow%7D%5Cunderline%20%5Ccolorbox%7Bviolet%7D%20%7B%5Ccolor%7Bred%7D%7BQUE

zzz [600]

Answer:

26. c. 6 cm

27. c. 70 cm³

Step-by-step explanation:

Question 26

Volume = Length × Width × Height
360 = 10 × 6 × Width
Width = 6 cm
c. 6 cm

Question 27

Volume = Length × Width × Height
Volume = 7 × 5 × 2
Volume = 70 cm³
c. 70 cm³

Question 28 (not entirely visible)

3 0

2 years ago

Read 2 more answers

Anna, Letty and emily invest in the ratio of 1:3:5 in a business. If the profit is R450000. How much does Emily get?

labwork [276]

Step-by-step explanation:

the ratio is 1:3:5, so we are talking about 1+3+5 = 9 parts or shares between them.

therefore, 1 share of 450,000 is

450,000/9 = 50,000

so, Anna gets R50,000.

Letty gets 3×50,000 = R150,000.

and finally Emily gets 5×50,000 = R250,000.

6 0

2 years ago