10 days ago

You and a friend each have a collection of tokens. Initially, for every 8 tokens you had, your friend had 3. After you give half

of your tfriend, your friend now has 18 more tokens than you. Initially, how many more tokens did you have than your friend

Mathematics

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Two models of a product - Regular (X) and Deluxe (Y) - are produced by a company. A linear programming model is used to determin

Leona [12618]

The correct answer is C. 100

3 0

2 months ago

Sunita bought a 10 kg box of grapes from the market. She gave 3 1/2 kg of her grapes to her friend Reena and 2 1/4 kg to Anita.

Leona [12618]

Answer:

17/4 kg

Step-by-step explanation:

Sunita initially has = 10kg of grapes

Amount distributed:

To Reena =3 1/2 kg

7/2 kg

To Anita =2 1/4 kg

9/4 kg

Total grapes given away

7/2+9/4

(14+9)/4

23/4 kg

The remaining grapes after distribution = Total grapes first minus grapes given away

10/1 - 23/4

(40-23)/4

= 17/4 or 4 1/4

Thus, she retains 17/4 kg of grapes

5 0

2 months ago

Two boats start their journey from the same point A and travel along directions AC and AD, as shown below: ABC is a right triang

Inessa [12570]

*Refer to the image attached below

Answer:

346.4 ft

Step-by-step Explanation:

The distance between the boats, CD = BD - BC

Using trigonometry, find the length of BD in triangle ∆ABD and also calculate the length of BC in triangle ABC.

Length of BD in triangle ABD:

Opposite side to <30° = 300 ft

Adjacent side = BD

$tan(30) = \frac{300}{BD}$

$BD*tan(30) = 300$

Divide both sides by tan(30)

$\frac{BD*tan(30)}{tan(30)} = \frac{300}{tan(30)}$

$BD = 519.6 ft$ (rounded to nearest tenth)

Length of BC in triangle ABC:

Opposite side to <60° = 300 ft

Adjacent side = BC

$tan(60) = \frac{300}{BC}$

$BC*tan(60) = 300$

Divide both sides by tan(60)

$\frac{BC*tan(60)}{tan(60)} = \frac{300}{tan(60)}$

$BC = 173.2 ft$ (rounded to nearest tenth)

The distance, CD, between the boats is calculated as BD - BC

= 519.6 - 173.2 = 346.4 ft

4 0

2 months ago

Read 2 more answers

Evaluate 0.1m+8-12n0.1m+8−12n0, point, 1, m, plus, 8, minus, 12, n when m=30m=30m, equals, 30 and n=\dfrac14n= 4 1 n, equals,

PIT_PIT [12445]

Answer:

Step-by-step explanation:

The task is to evaluate:

0.1m + 8 - 12n

When $m=30, n=\frac{1}{4}$

By substituting these values into the expression, we have:

$0.1m+8-12n=0.1(30)+8-12(\frac{1}{4})\\=3+8-\frac{12}{4}\\=3+8-3\\=8$

8 0

1 month ago

Read 2 more answers