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Ainat [17]
3 years ago
9

Three and two thirds times a number equals two ninths

Mathematics
2 answers:
worty [1.4K]3 years ago
8 0
3 2/3 x # = 2/9
# = 2/9 \ 3 2/3
# = 2/33 or 0.067
zlopas [31]3 years ago
8 0

Answer:

The number is \displaystyle\frac{2}{33}.

Step-by-step explanation:

Let x be the number.

We are given that:

Three and two thirds times a number

3\displaystyle\frac{2}{3}\times x

This is equal to two-ninths

Thus,

3\displaystyle\frac{2}{3}\times x = \displaystyle\frac{2}{9}\\\\\displaystyle\frac{11}{3}\times x = \displaystyle\frac{2}{9}\\\\x = \displaystyle\frac{2\times 3}{9\times 11}\\\\x = \displaystyle\frac{2}{33}

Hence, the number is \displaystyle\frac{2}{33}.

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fredd [130]

Answer:

It’s a pair of : corresponding angles

5 0
3 years ago
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A new school banner is to be 4 1/2 feet wide by 7 1/4 feet long. what is the area? if a fabric for the banner costs $6 a square
lilavasa [31]

The area is 32 5/8 ft squared and It would cost$ 195.75


how to slove: you take the to fractions and mulitply them and get 32 5/8 for the area then you multiply 32 5/8 by 6 to find the price of the banner.

3 0
3 years ago
Find Mx, My, and (x, y) for the lamina of uniform density rho bounded by the graphs of the equations. y = x2/3, y = 0, x = 1
erik [133]

Answer:

\mathbf{(\overline x , \overline y ) = (\dfrac{5}{8},  \dfrac{5}{14})}

Step-by-step explanation:

Given that:

y =  x^{2/3} at y = 0 , x = 1

Then:

Area = \int^{1}_{0} x^{2/3} \ dx

Area = \begin {bmatrix} \dfrac{3}{5}x^{5/3} \end {bmatrix} ^1_0

Area = \dfrac{3}{5}

Then:

\overline x = \dfrac{1}{A} \int^b_a x (f(x) -g(x) ) \ dx

\overline x = \dfrac{5}{3} \int^1_0 x (x^{2/3} -0 ) \ dx

\overline x = \dfrac{5}{3} \int^1_0 x^{5/3} \ dx

\overline x = \dfrac{5}{3} \ [\dfrac{3}{8}x^{8/3}]^1_0

\overline x = \dfrac{5}{3} \times \dfrac{3}{8}

\overline x = \dfrac{5}{8}

Similarly;

\overline y = \dfrac{1}{A} \int^b_a \dfrac{1}{2} \begin{bmatrix} (f(x)^)2 - (g(x))^2 \end {bmatrix}  \ dx

\overline y = \dfrac{5}{3} \int^1_0 \dfrac{1}{2} \begin{bmatrix} (f(x^{2/3})^2 -0 \end {bmatrix}  \ dx

\overline y = \dfrac{5}{3} \int^1_0 \dfrac{1}{2} \begin{bmatrix} (x^{4/3} ) \end {bmatrix}  \ dx

\overline y = \dfrac{5}{3} \begin{bmatrix} \dfrac{1}{2}  (x^{7/3} ) \times \dfrac{3}{7} \end {bmatrix} ^1_0

\overline y = \dfrac{5}{3} \begin{bmatrix} \dfrac{3}{14}  (x^{7/3} ) \end {bmatrix} ^1_0

\overline y = (\dfrac{5}{3} \times \dfrac{3}{14} )

\overline y = \dfrac{5}{14}

Thus; \mathbf{(\overline x , \overline y ) = (\dfrac{5}{8},  \dfrac{5}{14})}

4 0
3 years ago
Sociologists say that 85% of married women claim that their husband's mother is the biggest bone of contention in their marriage
hoa [83]

Answer:

(A) 0.377,

(B) 0.000,

(C) 0.953,

(D) 0.047

Step-by-step explanation:

We assume that having a bone of intention means not liking one's Mother-in-Law

(A) P(all six dislike their Mother-in-Law) = (85%)^6 = (.85)^6 = 0.377

(B) P(none of the six dislike their Mother-in-Law) =

(100% - 85%)^6 =

0.15^6 =

0.000

(C) P(at least 4 dislike their Mother-in-Law) =

P(exactly 4 dislike their Mother-in-Law) + P(exactly 5 dislike their Mother-in-Law) + P(exactly 6 dislike their Mother-in-Law) =

C(6,4) * (.85)^4 * (1-.85)^2 + C(6,5) * (.85)^5 * (.15)^1 + C(6,6) * (.85)^6 = (15) * (.85)^4 * (.15)^2 + (6) * (.85)^5 * .15 + (1) * (.85)^6 =

0.953

(D) P(no more than 3 dislike their Mother-in-Law) =

P(exactly 0 dislikes their Mother-in-Law) + P(exactly 1 dislikes her Mother) + P(exactly 2 dislike their Mother-in-Law) + P(exactly 3 dislike their Mother-in-Law) =

C(6,0) * (.85)^0 * (.15)^6 + C(6,1) * (.85)^1 * (.15)^5 + C(6,2) * (.85)^2 * (.15)^4 + C(6,3) * (.85)^3 * (.15)^3 =

(1)(1)(.15)^6 + (6)(.85)(.15)^5 + (15)(.85)^2 *(.15)^4 + (20)(.85)^3 * (.15)^3 =

0.047

3 0
3 years ago
Use the slope formula to find the slope. y2 -4 y1 2 x2 0 x1 2 m=ΔyΔx=y2−y1x2−x1 Usetheslopeformula m = Δ y Δ x = y 2 - y 1 x 2 -
jenyasd209 [6]

Answer:

The slope is, 3

Step-by-step explanation:

Formula for slope(m) is given by:

m = \frac{\triangle y}{\triangle x}

or

m = \frac{y_2-y_1}{x_2-x_1}           .....[1]

Given the statement:

y_2 = -4

y_1 = 2

x_2 = 0 and x_1 = 2

Substitute these given values in [1] we have;

m = \frac{-4-2}{0-2} = \frac{-6}{-2}  

Simplify:

m = 3

Therefore, the value of slope is, 3

5 0
3 years ago
Read 2 more answers
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