Anyone know the answer to this?

The product of two rational number 15/22. If one of the number is -5/6 then find the other the 9 one

Murljashka [212]

Answer:

Product of 2 no.=15/22

one no.=-5/6.

therefore let second no. be x

-5/6×x=15/22

x=15/22 ×-6/5.

x=-9/11

8 0

3 years ago

Lily has $2. 75 in her pocket, consisting of dimes and quarters. If there are 17 coins in all, how many of each does she have?.

Nikitich [7]

Answer:

Lily has 7 Quarters and 10 Dimes

Step-by-step explanation:

Let's use pennies instead of $.

Let D and Q stand for the numbers of Dimes and Quarters, respectively.

We are told that there are 17 coins total:

D + Q = 17

We also learn that they amount to 275 (pennies). We can write that as:

10D + 25Q = 275 [Each D is worth 10 pennies, etc.]

We have two equations and two unknowns. We can rearrange one equation to find the value of either of the unknowns, and then use that it the second equation.

I'll rearrange the first:

D + Q = 17

D = 17 - Q

Now use this value of D in the second equation:

10D + 25Q = 275

10(17-Q) + 25Q = 275

170 - 10Q + 25 Q = 275

15Q = 105

Q = 7 : 7 Quarters.

Since D + Q = 17:

D + 7 = 17

D = 10 Dimes

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

Let's check these results:

Q = 7 Quarters

D = 10 Dimes

1. Is this 17 coins in total? (7+10 = 17) YES

2. Does this add to $2.75? (10*10) + (7*25) = 275 cents?

(100 + 176) = 275 (cents) YES

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

Lily has 7 Quarters and 10 Dimes

8 0

3 years ago

In this figure, AB || CD and m/2= 60°. What is mZ6?

liubo4ka [24]

Answer:

The measure of $\angle 6\ is\ 60\°$ .

Step-by-step explanation:

Given,

AB║CD and

m∠2 = 60°

Solution,

Since, in the figure given in attachment line segment AB is parallel to line segment CD. And t is the transversal line.

The theorem of parallel lines states that,

"If two lines are parallel and cut by a transversal line then the pair of corresponding angles are congruent."

So according to the theorem of parallel lines,∠2 and ∠6 makes a pair of corresponding angle.

And the measure of corresponding angle is equal.

So, m∠2 = m∠6

$\therefore m\angle 2 = m\angle 6 = 60\°$

Thus the measure of $\angle 6\ is\ 60\°$ .

5 0

3 years ago

Any help someone.... (solve triangles using the law of sines)

gogolik [260]

Answer:

$B=51$ °

Step-by-step explanation:

Use the Law of Sines as follows:

$\frac{sinC}{c} =\frac{sinB}{b}$

Insert the appropriate values:

$\frac{sin100}{14} =\frac{sinB}{11}$

Isolate B. Multiply both sides by 11:

$11*(\frac{sin100}{14} )=11*(\frac{sinB}{11})\\\\\frac{11*sin100}{14} =sinB\\\\sinB=\frac{11*sin100}{14}$

Use the inverse:

$B=sin^{-1}(\frac{11*sin100}{14})$

Insert the equation into a calculator and round to the nearest degree:

$B=50.7\\\\B=51$

Angle B is 51°.

:Done

7 0

4 years ago

Identifying a binomial experiment In a study conducted by the sponsoring organization of an academic conference, attendees were

sp2606 [1]

Answer:

1, this is a binomial experiment.

Step-by-step explanation:

this is a binomial experiment. Since it is general outcome, the probability of success is 0.50, that is 50 percent.

we have that X follows the binomial distribution

X ~ Binomial(n = 3, p = 0.50)

we have 3 outcomes( general, applied, theoretical).

mean = E(X)

= np

= 3(0.5)

= 1.5

standard deviation = σ = √np(1-p)

= √3(0.5)(1-0.5)

= √1.5(0.50)

= √0.75

= 0.8660

the mean = 1.5

the standard deviation = 0.8660

4 0

3 years ago