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hammer [34]
3 years ago
7

Red Riding Hood is making a food basket out of 8 different fruits and 9 different vegetables. If there is only room for 6 items,

how many ways could there be an equal number of fruits & veggies? (You can show your process if you like; half mark possible. Avoid spaces.)
Mathematics
1 answer:
Bogdan [553]3 years ago
6 0

Answer:

169,344

Step-by-step explanation:

Data provided in the question

Different fruits = 8

Different vegetables = 9

There is only room for 6 items

Based on the above information, the number of ways for an equal number of fruits & veggies is

For the number of combinations of fruit is

= 8\times7\times6

For the number of combinations of vegetables is

= 9\times8\times7

So, the total combinations are

= 9\times8\times8\times7\times7\times6

= 169,344

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liubo4ka [24]

Answer:

m(∠y) = 64°

Step-by-step explanation:

From the figure attached,

m(∠e) = 90°

m(∠b) + 67° = 180° [Linear pair of angles]

m(∠b) = 180 - 67

          = 113°

m(∠c) + 75° = 180°  [Linear pair of angles]

m(∠c) = 105°

m(∠a) = m(∠d)

By the property of a polygon,

Sum of the interior angles of a polygon is given by,

Sum of interior angles = (n - 2) × 180°

Here, n = number of sides of the polygon

For n = 5,

Sum of interior angles = (5 - 2)×180°

                                     = 540°

m(∠a) + m(∠b) + m(∠c) + m(∠d) + m(e) = 540°

2m(∠d) + 113° + 105° + 90° = 540°

2m(∠d) + 308 = 540°

2m(∠d) = 540 - 308

m(∠d) = 116°

m(∠d) + m(∠y) = 180°

m(∠y) + 116° = 180° [Linear pair of angles]

m(∠y) = 64°

8 0
3 years ago
3.
alexgriva [62]
Let the number of green apples and red apples be 8x and 3x respectively.

Given: 8x-3x =35

=> 5x =35 => x=7

Hence there are 8x=56 green apples and 3x=21 red apples.Ans.

4 0
3 years ago
Read 2 more answers
Charles has six times as many action figures as ben together the action figures total more than 75 how many does each have
seropon [69]

Answer:

We have been given that Charles has six times as many action figures as Ben

Let Ben has x action figures

So according to question Charles will have 6x.

together the action figures total more than 75

x+6x>75

7x>75

x>\frac{75}{7}

So Ben will have more than \frac{75}{7} action pictures.

And 6x>6\frac{75}{7}

6x>\frac{450}{7}

Charles will have more than \frac{450}{7}.

7 0
3 years ago
A right triangle has one angle that measures 53°. What is the measure of the other acute angle?
olchik [2.2K]

Answer:37 degrees

Step-by-step explanation:

90 (right triangle always has a 90 degree angle) + 53 = 143

There are 180 degrees in a triangle so,

180-143 = 37

3 0
2 years ago
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How much greater was Maiami’s annual rainfall than Albany’s Albany 46.92 miami61.05
Ilia_Sergeevich [38]

Answer:

52.94

Step-by-step explanation:

61.06

-46.92

=52.94

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