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lakkis [162]
2 years ago
11

Logan has 30 balloons two fifths of the balloons are purple how many of the balloons are purple ​

Mathematics
1 answer:
Lapatulllka [165]2 years ago
8 0

Answer:

Step-by-step explanation:

30\left(\frac{2}{5}\right)=12

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There are a total of 15 dimes and quarters in a covered cup. The value of all 15 coins totals 2.85
QveST [7]

Answer:

There are 6 dimes and 9 quarters.

Step-by-step explanation:

Represent the number of dimes and the number of quarters by d and q.

Then d + q = 15, or q = 15 - d.

Also, ($0.25)q + ($0.10)d = $2.85, or 5q + 2d = 57.

Substituding 15 - d for q, we get 5(15 - d) + 2d = 57, or

75 - 5d + 2d = 57, or

75 - 3d = 57, or

3d = 18.  Thus, there are 6 dimes.  Since q = 15 - d, q = 15 - 6 = 9.

There are 6 dimes and 9 quarters.

6 0
3 years ago
Which method could be used to factor x2 - 25?
Mandarinka [93]

Answer:

A. Perfect square Trinomial

Step-by-step explanation:

Just did its

6 0
3 years ago
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Find the 9th term in the following arithmetic sequence <br> -7, -1, 5, 11
inn [45]

Answer:

41

Step-by-step explanation:

1. Multiply 5 by 6 in order to get to the 9th number. (5 places away, 4 were given.) Also, notice that the difference between all of the numbers are consistently 6.

2. Add 30 to 11, which gives you 41.

3 0
3 years ago
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In a right triangle ΔABC, the length of leg AC = 5 ft and the hypotenuse AB = 13 ft. Find: Chapter Reference b The length of the
Butoxors [25]

Answer:

The length of the angle bisector of angle ∠A is 6.01.

Step-by-step explanation:

It is given that length of leg AC = 5 ft and the hypotenuse AB = 13 ft.

Using pythagoras theorem

(AB)^2=(BC)^2+(AC)^2

(13)^2=(BC)^2+(5)^2

169=(BC)^2+25

BC=12

\sin A=\frac{\text{perpendicular}}{\text{hypotenuse}}

\sin A=\frac{BC}{AB}

A=\sin ^{-1}\frac{12}{13}

A=67.38

Bisector divides the angle in two equal parts, therefore,

A'=\frac{67.38}{2} =33.69

In triangle ACD.

\cos A'=\frac{\text{Base}}{\text{Hypotenuse}}

\cos A'=\frac{AC}{AD}

\cos (33.69^{\circ})=\frac{5}{AD}

0.832=\frac{5}{AD}

AD=\frac{5}{0.832} =6.009\approx 6.01

Therefore the length of the angle bisector of angle ∠A is 6.01.

4 0
3 years ago
What is the answer to 0.55 divided by 100
ratelena [41]
The answer is 0.0055
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3 years ago
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