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Andre45 [30]
3 years ago
14

Thnx for the last one❤️❤️

Mathematics
1 answer:
malfutka [58]3 years ago
5 0

Answer:

No Problem

Step-by-step explanation:

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You make punch for a party. The ratio og ginger ale to fruit juice is 8 cups to 3 cups. You decide to add 4 more cups of ginger
Dvinal [7]
To get the answer we can use proportion
8 ginger ----------------- 3 fruit
12 ginger ----------------x
Crossmultiply now
8x=12*3                /:8
x=\frac{12*3}{8}
x=<u />\frac{36}{8}  \\ x=4.5
To not change ratio we have to have 4.5 cups of fruilt juice. We initialy had 3, so we have to add 1.5 cup of fruit juice.
7 0
3 years ago
The polynomial function g(x) = 2x4 - 9x3 - 12x2 + 29x + 30 has
Nataliya [291]

Answer:

the answer is

Step-by-step explanation:

the answer is

the answer is

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6 0
3 years ago
Which expression is a difference of squares with a factor of 2x + 5? 4x2 + 10 4x2 – 10 4x2 + 25 4x2 – 25
Shtirlitz [24]

Answer:

  4x^2 -25

Step-by-step explanation:

The other factor of the difference of squares is the "conjugate" of the given one: (2x -5). Then their product is ...

  (2x +5)(2x -5) = (2x)^2 -(5)^2 = 4x^2 -25

5 0
3 years ago
Read 2 more answers
To find the area of a triangle, you can use the expression b times h divided by 2, where b is the base of the triangle and h is
vladimir1956 [14]

Answer:

16  sq. units

Step-by-step explanation:

<u>The formula for the area of a triangle:</u>

  • A = 1/2bh

<u>If base and height are known as:</u>

  • b = 8 units and h = 4 units

<u>Then the area is:</u>

  • A = 1/2*8*4 = 16 sq. units
4 0
3 years ago
A donut store has 11 different types of donuts. You can only buy a bag of 3 of them, where each donut has to be of a different t
MakcuM [25]

Answer:

165.

Step-by-step explanation:

Since repetition isn't allowed, there would be 11 choices for the first donut, (11 - 1) = 10 choices for the second donut, and (11 - 2) = 9 choices for the third donut. If the order in which donuts are placed in the bag matters, there would be 11 \times 10 \times 9 unique ways to choose a bag of these donuts.

In practice, donuts in the bag are mixed, and the ordering of donuts doesn't matter. The same way of counting would then count every possible mix of three donuts type 3 \times 2 \times 1 = 6 times.

For example, if a bag includes donut of type x, y, and z, the count 11 \times 10 \times 9 would include the following 3 \times 2 \times 1 arrangements:

  • xyz.
  • xzy.
  • yxz.
  • yzx.
  • zxy.
  • zyx.

Thus, when the order of donuts in the bag doesn't matter, it would be necessary to divide the count 11 \times 10 \times 9 by 3 \times 2 \times 1 = 6 to find the actual number of donut combinations:

\begin{aligned} \frac{11 \times 10 \times 9}{3 \times 2 \times 1} = 165\end{aligned}.

Using combinatorics notations, the answer to this question is the same as the number of ways to choose an unordered set of 3 objects from a set of 11 distinct objects:

\begin{aligned}\begin{pmatrix}11 \\ 3\end{pmatrix} &= \frac{11 !}{(11 - 3)! \times 3 !} \\ &= \frac{11 !}{8 ! \times 3 !} \\ &= \frac{11 \times 10 \times 9}{3 \times 2 \times 1} = 165\end{aligned}.

5 0
2 years ago
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