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alisha [4.7K]
3 years ago
13

A bike shop has 11 red bikes 3 blue bikes 4 orange bikes and 12 silver bikes

Mathematics
1 answer:
Rom4ik [11]3 years ago
8 0

Answer:

"silver bikes" (in the blank)

Step-by-step explanation:

We need to find forevery orange bike, there are 3 ______ WHAT COLOR BIKE?

For, this we need ratio of CERTAIN COLOR BIKE to ORANGE BIKES. Which ever is 3, is the answer.

<u>Red bikes to orange bikes:</u>

\frac{11}{4} red for every orange

<u>Blue bikes to orange bikes:</u>

\frac{3}{4} blue for every orange

<u>Silver bikes to orange bikes:</u>

\frac{12}{4}=3 silver for every orange

THE LAST ONE IS THE CORRECT ANSWER.

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a student found the slope of a line that passes through the points (1,14) and (3,4) to be 5. what mistake did she make?
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M = (y2-y1)/(x2-x1)
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4 0
4 years ago
4x + 1 + x = -4<br> Can anybody help me solve this ?
ValentinkaMS [17]

Answer:

Simplify the equation

Step-by-step explanation:

4x + 1 + x + -4

= 4x + x + 1 - 4

= 5x + -3

= 5x - 3

Hope this helps

7 0
4 years ago
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What is the simplest form of
earnstyle [38]
The first one is 5c√10c/3d^3

The answer is: A, 5c√10c/3d^3

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6 0
3 years ago
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Using properties of sets show that : a) A ∩ (A’ U B) = A ∩ B b) A ∩ (A U B )’ = Ф
asambeis [7]

Answer:

a) From A ∩ A' = ∅, we have;

A ∩ (A' ∪ B) = A ∩ B

b) From A ∩ (A' ∩ B') = (A ∩ A') ∩ B' and A ∩ A' = ∅, we have;

A ∩ (A ∪ B)' = ∅

Step-by-step explanation:

a) By distributive law of sets, we have;

A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

From the complementary law of sets, we have;

A ∩ A' = ∅

Therefore, for A ∩ (A' ∪ B) = A ∩ B, we have

A ∩ (A' ∪ B) = (A ∩ A') ∪ (A ∩ B) (distributive law of sets)

A ∩ A' = ∅ (complementary law of sets)

Therefore;

(A ∩ A') ∪ (A ∩ B) = ∅ ∪ (A ∩ B)  = (A ∩ B) (Addition to zero identity property)

∴  A ∩ (A' ∪ B) = A ∩ B

b) By De Morgan's law

(A ∪ B)' = A' ∩ B'

Therefore, A ∩ (A ∪ B)' = A ∩ (A' ∩ B')

By associative law of sets, we have;

A ∩ (A' ∩ B') = (A ∩ A') ∩ B'

A ∩ A' = ∅ (complementary law of sets)

Therefore, (A ∩ A') ∩ B' = ∅  ∩ B' = ∅

Which gives;

A ∩ (A ∪ B)' = ∅.

4 0
3 years ago
5. Find the lateral surface area of the net of<br> the cube.<br> 1.8 cm
igor_vitrenko [27]

<u>Given</u>:

Given that the side length of the cube is 1.8 cm

We need to determine the lateral surface area of the cube.

<u>Lateral surface area of the cube:</u>

The lateral surface area of the cube can be determined using the formula,

LSA=4a^2

where a is the side length.

Substituting a = 1.8 in the above formula, we get;

LSA=4(1.8)^2

Squaring the term, we get;

LSA=4(3.24)

Multiplying, we get;

LSA=12.96

Thus, the lateral surface area of the cube is 12.96 cm²

6 0
3 years ago
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