Solve the following
1. 1/3 × 2/5 =

2. 5/6 × 5/9 =

3. 1/5 × 3/7 =

4. 5/7 × 3/8 =

5. 3/10 × 2/4 =

6. 2/5 × 2/10 =

7. 1/8 × 2/3 =

8. 1/5 × 1/2 =

9. 1/2 × 2×7 =

10. 4/5 × 3/8 =​

Answer:

0.7777777777778

Step-by-step explanation:

or the line over the last 7

Answer:

14

Step-by-step explanation:

Answer:

3.19 m

Step-by-step explanation:

L = 2.5

W x 25/16 = 2.5

w = 2.5 x 16 / 25 = 1.6

LWH = V

H = V / LW = (12 3/4) / (2.5 x 1.6) = 3.19

Answer:

The simplified value is 1/12.

Step-by-step explanation:

Since we need to multiply these fractions, we can just multiply the numerators and denominators together in order to find the answer.

2/3 x 1/8 =

2/24 =

1/12

Therefore, the simplified value is 1/12.

Hope this helps! :D

Answer:

1h = 8.5 x2 = 17

1 1/2h = 8.5 x3 = 25.5

2h = 8.5 x4 = 34

2 1/2h = 8.5 x5 = 42.5

Step-by-step explanation:

-17z - 12 + 15z = -12 - 2z

-2z - 12 = -2z - 12

-12 = -12

Since this statement is always true for all real values of z, there are infinitely many solutions.

Answer:

3. iwjsndudinwksjdj

Step-by-step explanation:

sorry it has to be around 20 letters

Answer:

d. y = -2×

Step-by-step explanation:

First to solve find the slope using the formula, [tex]\frac{10+10}{-5-5}[/tex]. The slope equals 20/-10 or -2. Then plug the slope and point, (-5,10), into slope-point form. y-10=-2(x+5), then solve for y. This gives you y=-2x+0 or y=-2x.

Answer:

7

Step-by-step explanation:

This is a Poisson distribution problem with the formula;

P(x;μ) = (e^(-μ)) × (μ^(x))/x!

We are told that the grocer sells three of a certain article per week. Thus;

μ = 3

Now, we want to find out How many of these should he have in stock so that the chance of his running out within a week is less than 0.01.

This means;

P(X > k) < 0.01

This can be rewritten as;

P(X ≤ k) < 0.99

Let's try x = 8

P(8;3) = (e^(-3)) × (3^(8))/8!

P(8;3) = 0.008

But; P(X ≤ 8) = 1 - 0.008 = 0.992

This is more than 0.99 and thus is not the answer

Let's try x = 7

P(7;3) = (e^(-3)) × (3^(7))/7!

P(7;3) = 0.022

But; P(X ≤ 7) = 1 - 0.022 = 0.978

Thus is less than 0.99.

Thus, stock should be 7

Answer:

The answer is 2/5.

Step-by-step explanation:

First, use the stay-switch-flip method. Keep 1/5 the same, switch the division sign into a multiplication sign, and flip the numerator and the denominator of 1/2 to get 1/5 x 2/1. Multiply the numerators. 1 x 2 = 2. Now, multiply the denominators. 5 x 1 = 5. Therefore, you're answer is 2/5.

Hope this helps! Please mark Brainliest.

Answer:

v = 80 cubic units

Step-by-step explanation:

The formula for a rectangular prism is: v = lwh

l = length

w = width

h = height

v = 8 x 2 x 5

v = 16 x 5

v = 80

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

as for the other stuff you need to update my 45=44

Answer:

92.3% are not vacationing

Step-by-step explanation:

482 - 37 = 445

445 * 100 / 482 = 92.3

Answer:

17g(2g + 1)(g + 1)

Step-by-step explanation:

34g^3 + 51g^2 + 17g

find a common factor, all of them have at least 1 g and they can all be divided by 17

17g(2g^2 + 3g + 1)

17g(2g + 1)(g + 1)

Answer:

8. x=-5 and y=7

9. x=-2 and y=0

10. x=-6 and y=-10

11. x=8 and y=-4

12. x=9 and y=-9

13.x=4 and y=10

14. x=5 and y=-7

Step-by-step explanation:

Answer:

x = 11.4715

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Angle θ = 35°

Opposite Leg = x

Hypotenuse = 20

Step 2: Solve for x

9514 1404 393

Answer:

  y ≈ 12.3

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to help you remember the relationship between trig functions and side of a right triangle. In particular, when the adjacent side and hypotenuse are involved, the desired relation is ...

  Cos = Adjacent/Hypotenuse

  cos(35°) = y/15

  y = 15·cos(35°)

  y ≈ 12.3

Answer:

Choice B

Step-by-step explanation:

Choice A: 1 ounce of raisins for ~$0,17

Choice B: 1 ounce of raisins for ~$0,13

BIDMAS

Step-by-step explanation:

FIRST DO 7+7÷7 AND TIMES THE ANSWER BY 7

Answer:

14

Step-by-step explanation:

Answer:

Plane RTS

Step-by-step explanation:

Answer: Choice D) Plane PQY

==========================================================

Explanation:

By definition, a plane is formed by 3 non-collinear points. The three points cannot all be on the same line. If you had 3 points on the same line, then infinitely many planes are possible. Imagine the plane spins around the line as a sort of fan blade.

Choice A can be ruled out because points R, T, and S are all on the same line. They are collinear points. Using these three points is not enough to properly identity/label this plane, since infinitely many other planes could result.

Choices B and C can also be ruled out for similar reasons.

Choice D is correct because points P, Q, and Y are all in plane M, and also because they are not all on the same line.

Side note: another way to phrase "a plane is formed by 3 non-collinear points" is to say "a plane is formed by 3 points that form a triangle".

Answer:

C maybe.........

Step-by-step explanation:

Answer:

The principle that guides Supreme Court justice to follow precedent when ruling on cases is called Stare decisis

Answer:

B

Step-by-step explanation:

did the course

The equivalent complex expression of [tex](\frac{1}{2}(cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5[/tex] is

[tex]\frac{1}{32} (cos(\pi)+i~sin(\pi))[/tex]

The correct answer is an option (b)

"The number of the form a + ib, where a, b are real numbers and [tex]i=\sqrt{-1}[/tex]"

"This theorem gives a formula for computing powers of complex numbers.

[tex](r(cos\theta+i~sin\theta))^n=r^n~(cos(n\theta)+i~sin(n\theta))[/tex] "

For given question,

We have been given a complex expression [tex](\frac{1}{2}(cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5[/tex]

Using the DeMoivre's theorem,

[tex](\frac{1}{2}(cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5\\\\=(\frac{1}{2})^5~((cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5\\\\=\frac{1}{32} (cos(\frac{5\pi}{5} )+i~sin(\frac{5\pi}{5} )) )\\\\= \frac{1}{32} (cos(\pi)+i~sin(\pi))[/tex]

Therefore, the equivalent complex expression of [tex](\frac{1}{2}(cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5[/tex] is

[tex]\frac{1}{32} (cos(\pi)+i~sin(\pi))[/tex]

The correct answer is an option (b)

Learn more about the De Moivre's theorem here:

https://brainly.com/question/17211848

#SPJ3

Answer:

x+2y=13

Step 1: Add -2y to both sides.

x+2y+−2y=13+−2y

x=−2y+13

Answer:

x=−2y+13

Step 1: Add 5y to both sides.

3x−5y+5y=6+5y

3x=5y+6

Step 2: Divide both sides by 3.

3x

3

=

5y+6

3

x=

5

3

y+2

Answer:

x=

5

3

y+2

Step 1: Add -3x to both sides.

3x−5y+−3x=6+−3x

−5y=−3x+6

Step 2: Divide both sides by -5.

−5y

−5

=

−3x+6

−5

y=

3

5

x+

−6

5

Answer:

y=

3

5

x+

−6

5

Step-by-step explanation:

Answer:

(7, 3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

x + 2y = 13

3x - 5y = 6

Step 2: Rewrite Systems

x + 2y = 13

Step 3: Redefine Systems

x = 13 - 2y

3x - 5y = 6

Step 4: Solve for y

Substitution

Step 5: Solve for x

Answer: x =2

Step-by-step explanation:

5x - 8 = 3x - 4

2x = 4

x = 2

checking the work:

5(2) - 8 = 3(2) - 4

10 - 8 = 6 - 4

2 = 2

Answer:

the answer is 5

Step-by-step explanation:

it is very simple question

Answer:

F

Step-by-step explanation: