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3 years ago

6

Todd bought a jetski through an interest free payment plan. The ski was $2000 and his payment were $250 each. What percent of th

e total cost are the payments

1 answer:

stepan [7]3 years ago

4 0

Answer:

12.5%

Step-by-step explanation:

$\frac{250}{2000} \times 100\%$

= 12.5%

Percentage of total cost that is the payments= 12.5%

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In how many ways can you place 50 identical balls in six distinct urns such that each urn contains an odd number of balls

mezya [45]

Answer:

80730

Step-by-step explanation:

The answer is c(27,5)=27*26*25*24*23/5!. Here is why.

Let us solve a simpler problem. In how many ways 25 identical balls can be placed in six distinct urns such that no urn is empty?

25 balls in a row make 24 places for five dividers, so the answer is c(24,5).

2. Next problem. In how many ways 50 identical balls can be placed in six distinct urns such that no urn is empty and each urn contains even number of balls.

We group 50 balls in 25 pairs, so the answer is the same as in the previous problem which is

c(48/2,5)=c(24,5).

Let us denote the content of each urn as

u(1),u(2),…u(6). Note that each u(i) is even. Denote u(i) as u(i)=2k(i) where k is a natural number. We have

2k(1)+2k(2)+2k(3)+2k(4)+2k(5)+2k(6)=50.

3. Now let us proceed to the original problem where odd number of balls in each urn is required.

We have

2k(1)-1+2k(2)-1+2k(3)-1+2k(4)-1+2k(5)-1+2k(6)-1=50 or

2k(1)+2k(2)+2k(3)+2k(4)+2k(5)+2k(6)=56.

So the original problem reduces to previous problem where even number of balls in each urn is required but the total number of balls is 56 instead of 50.

Its answer is c(54/2,5)=c(27,5).

8 0

3 years ago

Solving the following simultaneous equations, 4x - 5y = 17 and x - 5y = 8,

dimaraw [331]

{4x - 5y = 17

{x - 5y = 8

{x = 5y + 8

{4(5y + 8) - 5y = 17

{x = 5y + 8

{20y + 32 - 5y = 17 | - 32

{x = 5y + 8

{15y = -15 | : 15

{y = -1

{x = 5 * (-1) + 8

{x = 3

{y = -1

7 0

3 years ago

Write an equation of the line that is perpendicular to -x+y=15 and passes through the point (2,-5)

hichkok12 [17]

2-5=15

2+5=15

i think . sorry if its wrong

3 0

3 years ago

Which is greater 0.4 or 0.137

ElenaW [278]

<h2>0.4 is greater </h2>

hope that helps :)

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4 years ago

Read 2 more answers

Please help, I'm not sure if I'm right.

Luden [163]

To prove the QRST is a parallelogram.

Step 1: Given $\angle T \cong \angle R$ and $\overline{Q R} \| \overline{T S}$

Step 2: $\angle R Q S \text { and } \angle T S Q$ are alternate interior angles.

Definition of alternate interior angles

Step 3: Alternate interior angle theorem:

If two parallel lines cut by a transversal then the alternate interior angles are congruence.

QR and TS are parallel lines cut by QS.

Therefore, $\angle R Q S \cong \angle T S Q$

Step 4: Reflexive property of congruence:

Any geometric figure is congruence to itself.

Therefore, $\overline{Q S} \cong \overline{Q S}$

Step 5: By the above steps

$\angle T \cong \angle R$ (Angle), $\angle R Q S \cong \angle T S Q$ (Angle) and $\overline{Q S} \cong \overline{Q S}$ (Side)

Hence $\triangle Q T S \cong \triangle S R Q$ (by ASA congruence theorem)

Step 6: Corresponding parts of congruence triangles are congruent.

$\Rightarrow \ \overline{Q R} \cong \overline{T S}$

Step 7: Property of parallelogram:

If one pair of opposite sides are both parallel and congruent, then the quadrilateral is a parallelogram.

Hence Quadrilateral QRST is a parallelogram.

5 0

3 years ago