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EleoNora [17]
3 years ago
13

A shop sells 100 chocolate, vanilla, and strawberry ice creams. 40% of the ice creams sold are vanilla, and 30% are strawberry.

How many chocolate ice creams are sold?
Show Your Work
Mathematics
1 answer:
GuDViN [60]3 years ago
6 0

Answer:

30

Step-by-step explanation:

  • 100%=100 chocolates
  • 40%+30% (ice creams+Vanilla )=70%
  • 70%-100%=30%
  • 30%of total number of chocolates sold (100)

  • 30 / 100×100 =30

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Use the Law of Sines to find the missing angle of the triangle.
Natasha2012 [34]

Answer:

m∠B = 70.0° (nearest tenth)

Step-by-step explanation:

<u>Sine Rule for Angles</u>

\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

Given:

  • a = 13
  • c = 19
  • A = 40°

Substituting the given values into the formula to find m∠C:

\implies \sf \dfrac{\sin 40^{\circ}}{13}=\dfrac{\sin C}{19}

\implies \sf \sin C=\dfrac{19\sin 40^{\circ}}{13}

\implies \sf C=\sin^{-1}\left(\dfrac{19\sin 40^{\circ}}{13}\right)

\implies \sf m \angle C=69.96086904^{\circ}

Interior angles of a triangle sum to 180°

\implies \sf m \angle A+ m \angle B+m \angle C=180^{\circ}

\implies \sf 40^{\circ} + m \angle B+69.960...^{\circ}=180^{\circ}

\implies \sf m \angle B=70.03913...^{\circ}

Therefore, m∠B = 70.0° (nearest tenth)

8 0
2 years ago
4. Four friends went on a trip to Mexico. They rented a car for eight days which cost
nlexa [21]

Explanation:

So, I know a lot of people won't do it this way, but this is how I would do it.

First, multiply each expense by eight (eight for the eight days)

$55 x 8 = 440

$25 x 8 = 200

$129 x 8 = 1032

Next, take the three answers and add them together:

440 + 200 + 1032 = 1672

Lastly, divide 1672 by four (four for the four friends)

1672/4 = 418

There you go! Here is your answer. Each friend paid $418

Hope I helped! :D

3 0
3 years ago
A shop produces 39 wet suits every 2 weeks. how long will it take the shop to produce 429 wet suits?
valkas [14]
429 ÷ 39= 11 11 ÷ 2= 5.5 (5 1/2) It takes 5 1/2 weeks to produce 429 wetsuits
3 0
3 years ago
Lin has 4 pinecones and some acorns.
frozen [14]

Answer:

Lin has 11 acorns ⇒ answer D

He subtract 4 from 7 instead of add 4 to 7

Step-by-step explanation:

- Lin has 4 pinecones and some acorns

- She has 7 fewer pinecones than acorns

- The meaning of 7 fewer pinecones than acorns is the number of the

   pinecones is less than the number of acorns by 7

∵ She has 4 pinecones

∵ She has 7 fewer pinecones than acorns

- The number of pine cones is less than the number of acorns by 7

∴ 4 = number of acorns - 7

- Add 7 to both sides

∴ 11 = number of acorns

*<em> Lin has 11 acorns</em>

- Tom choose answer A which is 3

- He made a mistake in the equation

- He put  ⇒ number of the acorns = 7 - 4 not 7 + 4

∴ number of acorns = 3

* <em>He subtract 4 from 7 instead of add 4 to 7</em>

8 0
4 years ago
A manager needs to order company shirts for each employee. She was quoted the following rates. If she orders 75 shirts and passe
docker41 [41]
The answer is B.$7.47.

Let's first calculate how much in total 75 shirts cost:
- first 19 (less than 20) cost $10:         19 * $10 = $190
- the next 30 cost $8:                         30 *  $8 = $240
- the rest (26 = 75 - 19 - 30) cost $5: 26 *  $5 = $130

So, in total 75 shirts cost $560:
19 * $10 + 30 * $8 + 21 * $5 = $190 + $240 + $130 = $560

Since 75 shirts are ordered, there must be 75 employees, so each employee must pay $7.47:
$565 ÷ 75 = $7.47
7 0
3 years ago
Read 2 more answers
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