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3 years ago

A and B share the cost in a ratio of 3:2. A pays £125, how much does B pay?

Mathematics

1 answer:

jolli1 [7]3 years ago

6 0

Cross multiply then solve for x:

3/2 * 125/x

2*125 = 250
3 * x = 3x

3x = 250
x = 83.33 = 83 (rounded)

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slavikrds [6]

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3 years ago

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Westkost [7]

Answer:

dy/dx = -b/a cot α

Step-by-step explanation:

x² / a² + y² / b² = 1

Take derivative with respect to x.

2x / a² + 2y / b² dy/dx = 0

2y / b² dy/dx = -2x / a²

dy/dx = -b²x / (a²y)

Substitute:

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8 0

3 years ago

Lines AB and CD (if present in the picture) are straight lines. Find x. Give reasons to justify your solutions.

Olin [163]

Answer:

WORDS: The value of x is 15.

EQUATION: x = 15

Step-by-step explanation:

1. AB is a straight line therefore angles AOF, FOG, and GOB total 180º

2. If ∠FOG = 90º, AOF + GOB = 90º by subtraction & substitution property

3. 5x - 15 + 2x = 90 (now solve) --> by substitution

4. 7x - 15 = 90 --> by C.L.T. or Combine Like Terms

5. 7x = 105 --> by C.L.T. or Combine Like Terms

6. x = 15 --> by inverse operations (division)

Hope this helps!

8 0

3 years ago

You own an accessories store, and sales last month were $24,000. You had $3,500 in discounts and $975 in returns.

Len [333]

Answer:

The net sales for last month were $19,525.

Step-by-step explanation:

Given:

Last month sales were $24,000.

Discounts is $3,500 and $975 in returns.

Now, to get the net sales for last month.

So, we deduct the discount:

Sales - discounts = $\$24,000 - \$3,500 =\$20,500.$

Then, we deduct the returns from the remaining amount:

Sales after discounts - returns = $\$20,500 - \$975$

= $\$19,525.$

Therefore, the net sales for last month were $19,525.

7 0

3 years ago

Ms. Allen asked each of her 30 students to select their favorite type of music. How many students chose Rock 1/3 chose hip hop 1

dalvyx [7]

Answer: 14

Step-by-step explanation:

Fraction that choose hip hop= 1/3

Fraction that choose rap = 1/5

Fraction that choose rock will be:

= 1 - (1/3 + 1/5)

= 1 - (5/15 + 3/15)

= 1 - 8/15

= 7/15

Number of students that choose rock will be:

= 7/15 × 30

= 7 × 2

= 14 students

We then multi

5 0

3 years ago